YES
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<title>Left Termination proof of ../tpdb/LP/talp/maria/money.pl</title>
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<BR><B>Left Termination</B> of the query pattern
money_in_8(a, a, a, a, a, a, a, a)
w.r.t. the given <I>Prolog program</I> could successfully be <font color=#00ff00>proven</font>:<BR><BR><BR><BR><pre>&#8627 <B>Prolog</B></pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><BR>Clauses:<BR><BR>demo&#160;:-&#160;','(nl, ','(write('Cryptarithmetic puzzle'), ','(nl, ','(nl, ','(write('     SEND'), ','(nl, ','(write('  +  MORE'), ','(nl, ','(write(' --------'), ','(nl, ','(write('    MONEY'), ','(nl, ','(nl, ','(nl, ','(time(_), ','(money(S, E, N, D, M, O, R, Y), ','(time(T), ','(write('The solution is:'), ','(nl, ','(nl, ','(write('     '), ','(write(S), ','(write(E), ','(write(N), ','(write(D), ','(nl, ','(write('   + '), ','(write(M), ','(write(O), ','(write(R), ','(write(E), ','(nl, ','(write(' --------'), ','(nl, ','(write('    '), ','(write(M), ','(write(O), ','(write(N), ','(write(E), ','(write(Y), ','(nl, ','(nl, ','(write('Solved in '), ','(write(T), ','(write(' msec.'), nl))))))))))))))))))))))))))))))))))))))))))))).<BR>time(0).<BR>solve(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))))&#160;:-&#160;money(S, E, N, D, M, O, R, Y).<BR>money(S, E, N, D, M, O, R, Y)&#160;:-&#160;','(carry(C1), ','(carry(C2), ','(carry(C3), ','(carry(C4), ','(=(C4, M), ','(=\=(M, 0), ','(domain(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))), .(0, .(1, .(2, .(3, .(4, .(5, .(6, .(7, .(8, .(9, []))))))))))), ','(=\=(S, 0), ','(calc(C3, S, M, C4, O), ','(calc(C2, E, O, C3, N), ','(calc(C1, N, R, C2, E), calc(0, D, E, C1, Y)))))))))))).<BR>calc(C0, D, E, C1, Y)&#160;:-&#160;','(sum(C0, D, CD), ','(sum(CD, E, S), ','(carry10(C1, C10), sum(C10, Y, S)))).<BR>sum(X, Y, Z)&#160;:-&#160;is(Z, +(X, Y)).<BR>domain([], _).<BR>domain(.(X1, R), L)&#160;:-&#160;','(del(X1, L, NL), domain(R, NL)).<BR>del(X, .(X, T), T).<BR>del(X, .(Y, T), .(Y, NT))&#160;:-&#160;del(X, T, NT).<BR>carry(1).<BR>carry(0).<BR>carry10(0, 0).<BR>carry10(1, 10).<BR><BR>Queries:<BR><BR>money(a,a,a,a,a,a,a,a).<BR><BR>Added definitions of predefined predicates.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 <B>Prolog</B></pre><pre>      &#8627 CutEliminatorProof</pre><BR>Clauses:<BR><BR>demo&#160;:-&#160;','(nl, ','(write('Cryptarithmetic puzzle'), ','(nl, ','(nl, ','(write('     SEND'), ','(nl, ','(write('  +  MORE'), ','(nl, ','(write(' --------'), ','(nl, ','(write('    MONEY'), ','(nl, ','(nl, ','(nl, ','(time(_), ','(money(S, E, N, D, M, O, R, Y), ','(time(T), ','(write('The solution is:'), ','(nl, ','(nl, ','(write('     '), ','(write(S), ','(write(E), ','(write(N), ','(write(D), ','(nl, ','(write('   + '), ','(write(M), ','(write(O), ','(write(R), ','(write(E), ','(nl, ','(write(' --------'), ','(nl, ','(write('    '), ','(write(M), ','(write(O), ','(write(N), ','(write(E), ','(write(Y), ','(nl, ','(nl, ','(write('Solved in '), ','(write(T), ','(write(' msec.'), nl))))))))))))))))))))))))))))))))))))))))))))).<BR>time(zero).<BR>solve(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))))&#160;:-&#160;money(S, E, N, D, M, O, R, Y).<BR>money(S, E, N, D, M, O, R, Y)&#160;:-&#160;','(carry(C1), ','(carry(C2), ','(carry(C3), ','(carry(C4), ','(=(C4, M), ','(=\=(M, zero), ','(domain(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))), .(zero, .(succ(zero), .(succ(succ(zero)), .(succ(succ(succ(zero))), .(succ(succ(succ(succ(zero)))), .(succ(succ(succ(succ(succ(zero))))), .(succ(succ(succ(succ(succ(succ(zero)))))), .(succ(succ(succ(succ(succ(succ(succ(zero))))))), .(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))), .(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))), []))))))))))), ','(=\=(S, zero), ','(calc(C3, S, M, C4, O), ','(calc(C2, E, O, C3, N), ','(calc(C1, N, R, C2, E), calc(zero, D, E, C1, Y)))))))))))).<BR>calc(C0, D, E, C1, Y)&#160;:-&#160;','(sum(C0, D, CD), ','(sum(CD, E, S), ','(carry10(C1, C10), sum(C10, Y, S)))).<BR>sum(X, Y, Z)&#160;:-&#160;','(isPlus(X, Y, U), =(Z, U)).<BR>domain([], _).<BR>domain(.(X1, R), L)&#160;:-&#160;','(del(X1, L, NL), domain(R, NL)).<BR>del(X, .(X, T), T).<BR>del(X, .(Y, T), .(Y, NT))&#160;:-&#160;del(X, T, NT).<BR>carry(succ(zero)).<BR>carry(zero).<BR>carry10(zero, zero).<BR>carry10(succ(zero), succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))))).<BR>nonequal(X, Y)&#160;:-&#160;','(=(X, Y), ','(!, fail)).<BR>nonequal(X, Y)&#160;:-&#160;true.<BR>isPlus(zero, X, X).<BR>isPlus(succ(X), zero, succ(X)).<BR>isPlus(succ(X), succ(Y), succ(succ(Z)))&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(succ(X), pred(Y), Z)&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(pred(X), zero, pred(X)).<BR>isPlus(pred(X), succ(Y), Z)&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(pred(X), pred(Y), pred(pred(Z)))&#160;:-&#160;isPlus(X, Y, Z).<BR>isMinus(X, zero, X).<BR>isMinus(zero, succ(Y), pred(Z))&#160;:-&#160;isMinus(zero, Y, Z).<BR>isMinus(zero, pred(Y), succ(Z))&#160;:-&#160;isMinus(zero, Y, Z).<BR>isMinus(succ(X), succ(Y), Z)&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(succ(X), pred(Y), succ(succ(Z)))&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(pred(X), succ(Y), pred(pred(Z)))&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(pred(X), pred(Y), Z)&#160;:-&#160;isMinus(X, Y, Z).<BR>isTimes(X, zero, zero).<BR>isTimes(zero, succ(Y), zero).<BR>isTimes(zero, pred(Y), zero).<BR>isTimes(succ(X), succ(Y), Z)&#160;:-&#160;','(isTimes(succ(X), Y, A), isPlus(A, succ(X), Z)).<BR>isTimes(succ(X), pred(Y), Z)&#160;:-&#160;','(isTimes(succ(X), Y, A), isMinus(A, succ(X), Z)).<BR>isTimes(pred(X), succ(Y), Z)&#160;:-&#160;','(isTimes(pred(X), Y, A), isPlus(A, pred(X), Z)).<BR>isTimes(pred(X), pred(Y), Z)&#160;:-&#160;','(isTimes(pred(X), Y, A), isMinus(A, pred(X), Z)).<BR>isDiv(zero, succ(Y), zero).<BR>isDiv(zero, pred(Y), zero).<BR>isDiv(succ(X), succ(Y), zero)&#160;:-&#160;isMinus(succ(X), succ(Y), pred(Z)).<BR>isDiv(succ(X), succ(Y), succ(Z))&#160;:-&#160;','(isMinus(succ(X), succ(Y), A), isDiv(A, succ(Y), Z)).<BR>isDiv(succ(X), pred(Y), Z)&#160;:-&#160;','(isMinus(zero, pred(Y), A), ','(isDiv(succ(X), A, B), isMinus(zero, B, Z))).<BR>isDiv(pred(X), pred(Y), zero)&#160;:-&#160;isMinus(pred(X), pred(Y), succ(Z)).<BR>isDiv(pred(X), pred(Y), succ(Z))&#160;:-&#160;','(isMinus(pred(X), pred(Y), A), isDiv(A, pred(Y), Z)).<BR>isDiv(pred(X), succ(Y), Z)&#160;:-&#160;','(isMinus(zero, pred(X), A), ','(isDiv(A, succ(Y), B), isMinus(zero, B, Z))).<BR>isModulo(X, Y, Z)&#160;:-&#160;','(isDiv(X, Y, A), ','(isTimes(A, Y, B), isMinus(X, B, Z))).<BR>fail&#160;:-&#160;fail(b).<BR>fail(a).<BR>true.<BR>=(X, X).<BR><BR>Queries:<BR><BR>money(a,a,a,a,a,a,a,a).<BR><BR>Eliminated all cuts by simply ignoring them.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 <B>Prolog</B></pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><BR>Clauses:<BR><BR>demo&#160;:-&#160;','(nl, ','(write('Cryptarithmetic puzzle'), ','(nl, ','(nl, ','(write('     SEND'), ','(nl, ','(write('  +  MORE'), ','(nl, ','(write(' --------'), ','(nl, ','(write('    MONEY'), ','(nl, ','(nl, ','(nl, ','(time(_), ','(money(S, E, N, D, M, O, R, Y), ','(time(T), ','(write('The solution is:'), ','(nl, ','(nl, ','(write('     '), ','(write(S), ','(write(E), ','(write(N), ','(write(D), ','(nl, ','(write('   + '), ','(write(M), ','(write(O), ','(write(R), ','(write(E), ','(nl, ','(write(' --------'), ','(nl, ','(write('    '), ','(write(M), ','(write(O), ','(write(N), ','(write(E), ','(write(Y), ','(nl, ','(nl, ','(write('Solved in '), ','(write(T), ','(write(' msec.'), nl))))))))))))))))))))))))))))))))))))))))))))).<BR>time(zero).<BR>solve(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))))&#160;:-&#160;money(S, E, N, D, M, O, R, Y).<BR>money(S, E, N, D, M, O, R, Y)&#160;:-&#160;','(carry(C1), ','(carry(C2), ','(carry(C3), ','(carry(C4), ','(=(C4, M), ','(=\=(M, zero), ','(domain(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))), .(zero, .(succ(zero), .(succ(succ(zero)), .(succ(succ(succ(zero))), .(succ(succ(succ(succ(zero)))), .(succ(succ(succ(succ(succ(zero))))), .(succ(succ(succ(succ(succ(succ(zero)))))), .(succ(succ(succ(succ(succ(succ(succ(zero))))))), .(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))), .(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))), []))))))))))), ','(=\=(S, zero), ','(calc(C3, S, M, C4, O), ','(calc(C2, E, O, C3, N), ','(calc(C1, N, R, C2, E), calc(zero, D, E, C1, Y)))))))))))).<BR>calc(C0, D, E, C1, Y)&#160;:-&#160;','(sum(C0, D, CD), ','(sum(CD, E, S), ','(carry10(C1, C10), sum(C10, Y, S)))).<BR>sum(X, Y, Z)&#160;:-&#160;','(isPlus(X, Y, U), =(Z, U)).<BR>domain([], _).<BR>domain(.(X1, R), L)&#160;:-&#160;','(del(X1, L, NL), domain(R, NL)).<BR>del(X, .(X, T), T).<BR>del(X, .(Y, T), .(Y, NT))&#160;:-&#160;del(X, T, NT).<BR>carry(succ(zero)).<BR>carry(zero).<BR>carry10(zero, zero).<BR>carry10(succ(zero), succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))))).<BR>nonequal(X, Y)&#160;:-&#160;','(=(X, Y), fail).<BR>nonequal(X, Y)&#160;:-&#160;true.<BR>isPlus(zero, X, X).<BR>isPlus(succ(X), zero, succ(X)).<BR>isPlus(succ(X), succ(Y), succ(succ(Z)))&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(succ(X), pred(Y), Z)&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(pred(X), zero, pred(X)).<BR>isPlus(pred(X), succ(Y), Z)&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(pred(X), pred(Y), pred(pred(Z)))&#160;:-&#160;isPlus(X, Y, Z).<BR>isMinus(X, zero, X).<BR>isMinus(zero, succ(Y), pred(Z))&#160;:-&#160;isMinus(zero, Y, Z).<BR>isMinus(zero, pred(Y), succ(Z))&#160;:-&#160;isMinus(zero, Y, Z).<BR>isMinus(succ(X), succ(Y), Z)&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(succ(X), pred(Y), succ(succ(Z)))&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(pred(X), succ(Y), pred(pred(Z)))&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(pred(X), pred(Y), Z)&#160;:-&#160;isMinus(X, Y, Z).<BR>isTimes(X, zero, zero).<BR>isTimes(zero, succ(Y), zero).<BR>isTimes(zero, pred(Y), zero).<BR>isTimes(succ(X), succ(Y), Z)&#160;:-&#160;','(isTimes(succ(X), Y, A), isPlus(A, succ(X), Z)).<BR>isTimes(succ(X), pred(Y), Z)&#160;:-&#160;','(isTimes(succ(X), Y, A), isMinus(A, succ(X), Z)).<BR>isTimes(pred(X), succ(Y), Z)&#160;:-&#160;','(isTimes(pred(X), Y, A), isPlus(A, pred(X), Z)).<BR>isTimes(pred(X), pred(Y), Z)&#160;:-&#160;','(isTimes(pred(X), Y, A), isMinus(A, pred(X), Z)).<BR>isDiv(zero, succ(Y), zero).<BR>isDiv(zero, pred(Y), zero).<BR>isDiv(succ(X), succ(Y), zero)&#160;:-&#160;isMinus(succ(X), succ(Y), pred(Z)).<BR>isDiv(succ(X), succ(Y), succ(Z))&#160;:-&#160;','(isMinus(succ(X), succ(Y), A), isDiv(A, succ(Y), Z)).<BR>isDiv(succ(X), pred(Y), Z)&#160;:-&#160;','(isMinus(zero, pred(Y), A), ','(isDiv(succ(X), A, B), isMinus(zero, B, Z))).<BR>isDiv(pred(X), pred(Y), zero)&#160;:-&#160;isMinus(pred(X), pred(Y), succ(Z)).<BR>isDiv(pred(X), pred(Y), succ(Z))&#160;:-&#160;','(isMinus(pred(X), pred(Y), A), isDiv(A, pred(Y), Z)).<BR>isDiv(pred(X), succ(Y), Z)&#160;:-&#160;','(isMinus(zero, pred(X), A), ','(isDiv(A, succ(Y), B), isMinus(zero, B, Z))).<BR>isModulo(X, Y, Z)&#160;:-&#160;','(isDiv(X, Y, A), ','(isTimes(A, Y, B), isMinus(X, B, Z))).<BR>fail&#160;:-&#160;fail(b).<BR>fail(a).<BR>true.<BR>=(X, X).<BR><BR>Queries:<BR><BR>money(a,a,a,a,a,a,a,a).<BR><BR>Added facts for all undefined predicates.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 <B>Prolog</B></pre><pre>              &#8627 PrologToPiTRSProof</pre><BR>Clauses:<BR><BR>demo&#160;:-&#160;','(nl, ','(write('Cryptarithmetic puzzle'), ','(nl, ','(nl, ','(write('     SEND'), ','(nl, ','(write('  +  MORE'), ','(nl, ','(write(' --------'), ','(nl, ','(write('    MONEY'), ','(nl, ','(nl, ','(nl, ','(time(X), ','(money(S, E, N, D, M, O, R, Y), ','(time(T), ','(write('The solution is:'), ','(nl, ','(nl, ','(write('     '), ','(write(S), ','(write(E), ','(write(N), ','(write(D), ','(nl, ','(write('   + '), ','(write(M), ','(write(O), ','(write(R), ','(write(E), ','(nl, ','(write(' --------'), ','(nl, ','(write('    '), ','(write(M), ','(write(O), ','(write(N), ','(write(E), ','(write(Y), ','(nl, ','(nl, ','(write('Solved in '), ','(write(T), ','(write(' msec.'), nl))))))))))))))))))))))))))))))))))))))))))))).<BR>time(zero).<BR>solve(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))))&#160;:-&#160;money(S, E, N, D, M, O, R, Y).<BR>money(S, E, N, D, M, O, R, Y)&#160;:-&#160;','(carry(C1), ','(carry(C2), ','(carry(C3), ','(carry(C4), ','(=(C4, M), ','(=\=(M, zero), ','(domain(.(S, .(E, .(N, .(D, .(M, .(O, .(R, .(Y, [])))))))), .(zero, .(succ(zero), .(succ(succ(zero)), .(succ(succ(succ(zero))), .(succ(succ(succ(succ(zero)))), .(succ(succ(succ(succ(succ(zero))))), .(succ(succ(succ(succ(succ(succ(zero)))))), .(succ(succ(succ(succ(succ(succ(succ(zero))))))), .(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))), .(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))), []))))))))))), ','(=\=(S, zero), ','(calc(C3, S, M, C4, O), ','(calc(C2, E, O, C3, N), ','(calc(C1, N, R, C2, E), calc(zero, D, E, C1, Y)))))))))))).<BR>calc(C0, D, E, C1, Y)&#160;:-&#160;','(sum(C0, D, CD), ','(sum(CD, E, S), ','(carry10(C1, C10), sum(C10, Y, S)))).<BR>sum(X, Y, Z)&#160;:-&#160;','(isPlus(X, Y, U), =(Z, U)).<BR>domain([], X).<BR>domain(.(X1, R), L)&#160;:-&#160;','(del(X1, L, NL), domain(R, NL)).<BR>del(X, .(X, T), T).<BR>del(X, .(Y, T), .(Y, NT))&#160;:-&#160;del(X, T, NT).<BR>carry(succ(zero)).<BR>carry(zero).<BR>carry10(zero, zero).<BR>carry10(succ(zero), succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))))).<BR>nonequal(X, Y)&#160;:-&#160;','(=(X, Y), fail).<BR>nonequal(X, Y)&#160;:-&#160;true.<BR>isPlus(zero, X, X).<BR>isPlus(succ(X), zero, succ(X)).<BR>isPlus(succ(X), succ(Y), succ(succ(Z)))&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(succ(X), pred(Y), Z)&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(pred(X), zero, pred(X)).<BR>isPlus(pred(X), succ(Y), Z)&#160;:-&#160;isPlus(X, Y, Z).<BR>isPlus(pred(X), pred(Y), pred(pred(Z)))&#160;:-&#160;isPlus(X, Y, Z).<BR>isMinus(X, zero, X).<BR>isMinus(zero, succ(Y), pred(Z))&#160;:-&#160;isMinus(zero, Y, Z).<BR>isMinus(zero, pred(Y), succ(Z))&#160;:-&#160;isMinus(zero, Y, Z).<BR>isMinus(succ(X), succ(Y), Z)&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(succ(X), pred(Y), succ(succ(Z)))&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(pred(X), succ(Y), pred(pred(Z)))&#160;:-&#160;isMinus(X, Y, Z).<BR>isMinus(pred(X), pred(Y), Z)&#160;:-&#160;isMinus(X, Y, Z).<BR>isTimes(X, zero, zero).<BR>isTimes(zero, succ(Y), zero).<BR>isTimes(zero, pred(Y), zero).<BR>isTimes(succ(X), succ(Y), Z)&#160;:-&#160;','(isTimes(succ(X), Y, A), isPlus(A, succ(X), Z)).<BR>isTimes(succ(X), pred(Y), Z)&#160;:-&#160;','(isTimes(succ(X), Y, A), isMinus(A, succ(X), Z)).<BR>isTimes(pred(X), succ(Y), Z)&#160;:-&#160;','(isTimes(pred(X), Y, A), isPlus(A, pred(X), Z)).<BR>isTimes(pred(X), pred(Y), Z)&#160;:-&#160;','(isTimes(pred(X), Y, A), isMinus(A, pred(X), Z)).<BR>isDiv(zero, succ(Y), zero).<BR>isDiv(zero, pred(Y), zero).<BR>isDiv(succ(X), succ(Y), zero)&#160;:-&#160;isMinus(succ(X), succ(Y), pred(Z)).<BR>isDiv(succ(X), succ(Y), succ(Z))&#160;:-&#160;','(isMinus(succ(X), succ(Y), A), isDiv(A, succ(Y), Z)).<BR>isDiv(succ(X), pred(Y), Z)&#160;:-&#160;','(isMinus(zero, pred(Y), A), ','(isDiv(succ(X), A, B), isMinus(zero, B, Z))).<BR>isDiv(pred(X), pred(Y), zero)&#160;:-&#160;isMinus(pred(X), pred(Y), succ(Z)).<BR>isDiv(pred(X), pred(Y), succ(Z))&#160;:-&#160;','(isMinus(pred(X), pred(Y), A), isDiv(A, pred(Y), Z)).<BR>isDiv(pred(X), succ(Y), Z)&#160;:-&#160;','(isMinus(zero, pred(X), A), ','(isDiv(A, succ(Y), B), isMinus(zero, B, Z))).<BR>isModulo(X, Y, Z)&#160;:-&#160;','(isDiv(X, Y, A), ','(isTimes(A, Y, B), isMinus(X, B, Z))).<BR>fail&#160;:-&#160;fail(b).<BR>fail(a).<BR>true.<BR>=(X, X).<BR>nl.<BR>write(X0).<BR>=\=(X0, X1).<BR><BR>Queries:<BR><BR>money(a,a,a,a,a,a,a,a).<BR><BR>We use the technique of [30]. With regard to the inferred argument filtering the predicates were used in the following modes:
<BR><FONT COLOR=#0000cc>money_in</font>: (f,f,f,f,f,f,f,f)
<BR><FONT COLOR=#0000cc>domain_in</font>: (f,b)
<BR><FONT COLOR=#0000cc>del_in</font>: (f,b,f)
<BR><FONT COLOR=#0000cc>calc_in</font>: (b,b,b,b,b)
<BR><FONT COLOR=#0000cc>sum_in</font>: (b,b,f) (b,b,b)
<BR><FONT COLOR=#0000cc>isPlus_in</font>: (b,b,f)
<BR>Transforming <I>Prolog</I> into the following <B>Term Rewriting System</B>:
<BR>Pi-finite rewrite system:<BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>) &#8594; <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>)
<BR><FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>)
<BR><FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))))) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))))))
<BR><FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_in_aaaaaaaa</font><BR>
<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_in_a</font><BR>
<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_out_gg</font><BR>
<FONT COLOR=#0000cc>zero</font>&#160; = &#160;<FONT COLOR=#0000cc>zero</font><BR>
<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>[]</font>&#160; = &#160;<FONT COLOR=#0000cc>[]</font><BR>
<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_gg</font><BR>
<FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_ggg</font><BR>
<FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_out_ggggg</font><BR>
<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)<BR>
<BR>
<P><B>Infinitary Constructor Rewriting Termination</B> of PiTRS implies <B>Termination</B> of Prolog<P>
<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 <B>PiTRS</B></pre><pre>                  &#8627 DependencyPairsProof</pre><BR>Pi-finite rewrite system:<BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>) &#8594; <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>)
<BR><FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>)
<BR><FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))))) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))))))
<BR><FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_in_aaaaaaaa</font><BR>
<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_in_a</font><BR>
<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_out_gg</font><BR>
<FONT COLOR=#0000cc>zero</font>&#160; = &#160;<FONT COLOR=#0000cc>zero</font><BR>
<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>[]</font>&#160; = &#160;<FONT COLOR=#0000cc>[]</font><BR>
<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_gg</font><BR>
<FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_ggg</font><BR>
<FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_out_ggggg</font><BR>
<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)<BR>
<BR><BR>Using Dependency Pairs [1,30] we result in the following initial DP problem:<BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C1</font>)
<BR><FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C2</font>)
<BR><FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C3</font>)
<BR><FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C4</font>)
<BR><FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>=_IN_GA</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)
<BR><FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
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<BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)
<BR><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)
<BR><FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>=\=_IN_GG</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)
<BR><FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)
<BR><FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>=_IN_AG</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)
<BR><FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>CARRY10_IN_GA</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)
<BR><FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)
<BR><FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>=_IN_GG</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)
<BR><FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)
<BR><FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>) &#8594; <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>)
<BR><FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>)
<BR><FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))))) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))))))
<BR><FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_in_aaaaaaaa</font><BR>
<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_in_a</font><BR>
<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_out_gg</font><BR>
<FONT COLOR=#0000cc>zero</font>&#160; = &#160;<FONT COLOR=#0000cc>zero</font><BR>
<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>[]</font>&#160; = &#160;<FONT COLOR=#0000cc>[]</font><BR>
<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_gg</font><BR>
<FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_ggg</font><BR>
<FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_out_ggggg</font><BR>
<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)<BR>
<FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font><BR>
<FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U74_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>CARRY_IN_A</font><BR>
<FONT COLOR=#0000cc>U68_AGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_AGA</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U63_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_GGGGG</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U65_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_GGG</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U72_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_IN_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_IN_AG</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U59_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>U65_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>CARRY10_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>CARRY10_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_AAAAAAAA</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U67_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=\=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U73_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 <B>PiDP</B></pre><pre>                      &#8627 DependencyGraphProof</pre><BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C1</font>)
<BR><FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C2</font>)
<BR><FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C3</font>)
<BR><FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>C4</font>)
<BR><FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>=_IN_GA</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)
<BR><FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>=\=_IN_GG</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U53_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
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<BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)
<BR><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)
<BR><FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>=\=_IN_GG</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)
<BR><FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)
<BR><FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>=_IN_AG</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)
<BR><FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>CARRY10_IN_GA</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)
<BR><FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)
<BR><FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>=_IN_GG</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)
<BR><FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)
<BR><FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)
<BR><FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>) &#8594; <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>)
<BR><FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>)
<BR><FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))))) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))))))
<BR><FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_in_aaaaaaaa</font><BR>
<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_in_a</font><BR>
<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_out_gg</font><BR>
<FONT COLOR=#0000cc>zero</font>&#160; = &#160;<FONT COLOR=#0000cc>zero</font><BR>
<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>[]</font>&#160; = &#160;<FONT COLOR=#0000cc>[]</font><BR>
<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_gg</font><BR>
<FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_ggg</font><BR>
<FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_out_ggggg</font><BR>
<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)<BR>
<FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>MONEY_IN_AAAAAAAA</font><BR>
<FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_AAAAAAAA</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U74_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>CARRY_IN_A</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>CARRY_IN_A</font><BR>
<FONT COLOR=#0000cc>U68_AGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_AGA</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_GGGGG</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U63_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_GGGGG</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U65_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_GGG</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>CALC_IN_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U72_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_IN_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_IN_AG</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_GGGGG</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U59_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>U65_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>SUM_IN_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>CARRY10_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>CARRY10_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_AAAAAAAA</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U67_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_IN_GA</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=\=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_IN_GG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>SUM_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U73_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_GGA</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_GGG</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_GGGGG</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_AAAAAAAA</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR>The approximation of the Dependency Graph [30] contains 3 SCCs with 47 less nodes.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 <B>PiDP</B></pre><pre>                            &#8627 UsableRulesProof</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>) &#8594; <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>)
<BR><FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>)
<BR><FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))))) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))))))
<BR><FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_in_aaaaaaaa</font><BR>
<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_in_a</font><BR>
<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_out_gg</font><BR>
<FONT COLOR=#0000cc>zero</font>&#160; = &#160;<FONT COLOR=#0000cc>zero</font><BR>
<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>[]</font>&#160; = &#160;<FONT COLOR=#0000cc>[]</font><BR>
<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_gg</font><BR>
<FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_ggg</font><BR>
<FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_out_ggggg</font><BR>
<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)<BR>
<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR>For (infinitary) constructor rewriting [30] we can delete all non-usable rules from R.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 <B>PiDP</B></pre><pre>                                &#8627 PiDPToQDPProof</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)</BLOCKQUOTE><BR>R is empty.<BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR>Transforming (infinitary) constructor rewriting Pi-DP problem [30] into ordinary QDP problem [15] by application of Pi.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 PiDP</pre><pre>                                &#8627 PiDPToQDPProof</pre><pre>                                  &#8627 <B>QDP</B></pre><pre>                                    &#8627 QDPSizeChangeProof</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><BR>Q DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>R is empty.<BR>Q is empty.<BR>We have to consider all (P,Q,R)-chains.<BR>By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem. <P>From the DPs we obtained the following set of size-change graphs:
<UL><LI><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)<BR>The graph contains the following edges 1 > 1, 2 > 2<P></LI>
<LI><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)<BR>The graph contains the following edges 1 > 1, 2 > 2<P></LI>
<LI><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)<BR>The graph contains the following edges 1 > 1, 2 > 2<P></LI>
<LI><FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>ISPLUS_IN_GGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>)<BR>The graph contains the following edges 1 > 1, 2 > 2<P></LI></UL><BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 <B>PiDP</B></pre><pre>                            &#8627 UsableRulesProof</pre><pre>                          &#8627 PiDP</pre><BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>) &#8594; <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>)
<BR><FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>)
<BR><FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))))) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))))))
<BR><FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_in_aaaaaaaa</font><BR>
<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_in_a</font><BR>
<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_out_gg</font><BR>
<FONT COLOR=#0000cc>zero</font>&#160; = &#160;<FONT COLOR=#0000cc>zero</font><BR>
<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>[]</font>&#160; = &#160;<FONT COLOR=#0000cc>[]</font><BR>
<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_gg</font><BR>
<FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_ggg</font><BR>
<FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_out_ggggg</font><BR>
<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)<BR>
<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR>For (infinitary) constructor rewriting [30] we can delete all non-usable rules from R.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 <B>PiDP</B></pre><pre>                                &#8627 PiDPToQDPProof</pre><pre>                          &#8627 PiDP</pre><BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)</BLOCKQUOTE><BR>R is empty.<BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR>Transforming (infinitary) constructor rewriting Pi-DP problem [30] into ordinary QDP problem [15] by application of Pi.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 PiDP</pre><pre>                                &#8627 PiDPToQDPProof</pre><pre>                                  &#8627 <B>QDP</B></pre><pre>                                    &#8627 QDPSizeChangeProof</pre><pre>                          &#8627 PiDP</pre><BR>Q DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>)) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>T</font>)</BLOCKQUOTE><BR>R is empty.<BR>Q is empty.<BR>We have to consider all (P,Q,R)-chains.<BR>By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem. <P>From the DPs we obtained the following set of size-change graphs:
<UL><LI><FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>)) &#8594; <FONT COLOR=#0000cc>DEL_IN_AGA</font>(<FONT COLOR=#cc0000>T</font>)<BR>The graph contains the following edges 1 > 1<P></LI></UL><BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 <B>PiDP</B></pre><pre>                            &#8627 UsableRulesProof</pre><BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C1</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C1</font>)) &#8594; <FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C2</font>))
<BR><FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C2</font>)) &#8594; <FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C3</font>))
<BR><FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C3</font>)) &#8594; <FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>C4</font>))
<BR><FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>C4</font>)) &#8594; <FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>))
<BR><FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>M</font>)) &#8594; <FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>) &#8594; <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>X0</font>, <FONT COLOR=#cc0000>X1</font>)
<BR><FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>))))))))))))
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>[]</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>)
<BR><FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>E</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>N</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>D</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>M</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>O</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>[]</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))), <FONT COLOR=#0000cc>[]</font>)))))))))))) &#8594; <FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>))
<BR><FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>zero</font>)) &#8594; <FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>))
<BR><FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>) &#8594; <FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>))
<BR><FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>))) &#8594; <FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>))
<BR><FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)) &#8594; <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>X</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Y</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>Z</font>)))
<BR><FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>CD</font>)) &#8594; <FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>CD</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>))
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#0000cc>zero</font>)
<BR><FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>))))))))))) &#8594; <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>), <FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#0000cc>zero</font>)))))))))))
<BR><FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C10</font>)) &#8594; <FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>))
<BR><FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>) &#8594; <FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>))
<BR><FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>) &#8594; <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>X</font>)
<BR><FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>Z</font>, <FONT COLOR=#cc0000>U</font>)) &#8594; <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>Z</font>)
<BR><FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>C10</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>S</font>)) &#8594; <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C0</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)
<BR><FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>C4</font>, <FONT COLOR=#cc0000>O</font>)) &#8594; <FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>))
<BR><FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>C3</font>, <FONT COLOR=#cc0000>N</font>)) &#8594; <FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>))
<BR><FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>C2</font>, <FONT COLOR=#cc0000>E</font>)) &#8594; <FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>))
<BR><FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#0000cc>zero</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>C1</font>, <FONT COLOR=#cc0000>Y</font>)) &#8594; <FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>S</font>, <FONT COLOR=#cc0000>E</font>, <FONT COLOR=#cc0000>N</font>, <FONT COLOR=#cc0000>D</font>, <FONT COLOR=#cc0000>M</font>, <FONT COLOR=#cc0000>O</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>Y</font>)</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>money_in_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_in_aaaaaaaa</font><BR>
<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U48_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>carry_in_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_in_a</font><BR>
<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry_out_a</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U49_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U50_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U51_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U52_aaaaaaaa</font>(<FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U53_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=\=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=\=_out_gg</font><BR>
<FONT COLOR=#0000cc>zero</font>&#160; = &#160;<FONT COLOR=#0000cc>zero</font><BR>
<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U54_aaaaaaaa</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>domain_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_ag</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U67_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>[]</font>&#160; = &#160;<FONT COLOR=#0000cc>[]</font><BR>
<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>succ</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)&#160; = &#160;<FONT COLOR=#0000cc>U55_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>, <FONT COLOR=#cc0000>x13</font>)<BR>
<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)&#160; = &#160;<FONT COLOR=#0000cc>U56_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>, <FONT COLOR=#cc0000>x12</font>)<BR>
<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_in_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U60_ggggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_in_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>isPlus_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U72_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)&#160; = &#160;<FONT COLOR=#0000cc>pred</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U73_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U74_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U75_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_gga</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_ag</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_ag</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_gga</font>(<FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U61_ggggg</font>(<FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)&#160; = &#160;<FONT COLOR=#0000cc>U62_ggggg</font>(<FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>)<BR>
<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_in_ga</font>(<FONT COLOR=#cc0000>x1</font>)<BR>
<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>carry10_out_ga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>)&#160; = &#160;<FONT COLOR=#0000cc>U63_ggggg</font>(<FONT COLOR=#cc0000>x6</font>)<BR>
<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_in_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U64_ggg</font>(<FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U65_ggg</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_in_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>=_out_gg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>=_out_gg</font><BR>
<FONT COLOR=#0000cc>sum_out_ggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>sum_out_ggg</font><BR>
<FONT COLOR=#0000cc>calc_out_ggggg</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>calc_out_ggggg</font><BR>
<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)&#160; = &#160;<FONT COLOR=#0000cc>U57_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>, <FONT COLOR=#cc0000>x11</font>)<BR>
<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)&#160; = &#160;<FONT COLOR=#0000cc>U58_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>, <FONT COLOR=#cc0000>x10</font>)<BR>
<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)&#160; = &#160;<FONT COLOR=#0000cc>U59_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>, <FONT COLOR=#cc0000>x9</font>)<BR>
<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)&#160; = &#160;<FONT COLOR=#0000cc>money_out_aaaaaaaa</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>, <FONT COLOR=#cc0000>x6</font>, <FONT COLOR=#cc0000>x7</font>, <FONT COLOR=#cc0000>x8</font>)<BR>
<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR>For (infinitary) constructor rewriting [30] we can delete all non-usable rules from R.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 <B>PiDP</B></pre><pre>                                &#8627 PiDPToQDPProof</pre><BR>Pi DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>), <FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>))
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>L</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>R</font>, <FONT COLOR=#cc0000>NL</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>), <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))</BLOCKQUOTE><BR>The argument filtering Pi contains the following mapping:<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)<BR>
<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>)&#160; = &#160;<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x3</font>)<BR>
<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>, <FONT COLOR=#cc0000>x5</font>)&#160; = &#160;<FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x5</font>)<BR>
<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>, <FONT COLOR=#cc0000>x3</font>, <FONT COLOR=#cc0000>x4</font>)&#160; = &#160;<FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#cc0000>x4</font>)<BR>
<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x1</font>, <FONT COLOR=#cc0000>x2</font>)&#160; = &#160;<FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>x2</font>)<BR>
<BR>We have to consider all (P,R,Pi)-chains<BR>Transforming (infinitary) constructor rewriting Pi-DP problem [30] into ordinary QDP problem [15] by application of Pi.<BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 PiDP</pre><pre>                                &#8627 PiDPToQDPProof</pre><pre>                                  &#8627 <B>QDP</B></pre><pre>                                    &#8627 RuleRemovalProof</pre><BR>Q DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>L</font>))
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>NL</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>)
<BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>T</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))</BLOCKQUOTE><BR>The set Q consists of the following terms:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x0</font>)
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x0</font>, <FONT COLOR=#cc0000>x1</font>)</BLOCKQUOTE><BR>We have to consider all (P,Q,R)-chains.<BR>By using the rule removal processor [15] with the following polynomial ordering [25], at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.
<BR><BR>Strictly oriented rules of the TRS R:
<BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>T</font>)</BLOCKQUOTE><BR>Used ordering: POLO with Polynomial interpretation [25]:
<BLOCKQUOTE><BR>POL(<B><FONT COLOR=#0000cc>.</font>(x<SUB>1</SUB>, x<SUB>2</SUB>)</B>) = 1 + 2&middot;x<SUB>1</SUB> + x<SUB>2</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(x<SUB>1</SUB>)</B>) = x<SUB>1</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>U66_AG</font>(x<SUB>1</SUB>)</B>) = x<SUB>1</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>U68_aga</font>(x<SUB>1</SUB>, x<SUB>2</SUB>)</B>) = 1 + 2&middot;x<SUB>1</SUB> + x<SUB>2</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>del_in_aga</font>(x<SUB>1</SUB>)</B>) = x<SUB>1</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>del_out_aga</font>(x<SUB>1</SUB>, x<SUB>2</SUB>)</B>) = x<SUB>1</SUB> + x<SUB>2</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub></BLOCKQUOTE><BR><BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 PiDP</pre><pre>                                &#8627 PiDPToQDPProof</pre><pre>                                  &#8627 QDP</pre><pre>                                    &#8627 RuleRemovalProof</pre><pre>                                      &#8627 <B>QDP</B></pre><pre>                                        &#8627 RuleRemovalProof</pre><BR>Q DP problem:<BR>The TRS P consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>L</font>))
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>NL</font>)</BLOCKQUOTE><BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>T</font>))
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))</BLOCKQUOTE><BR>The set Q consists of the following terms:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x0</font>)
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x0</font>, <FONT COLOR=#cc0000>x1</font>)</BLOCKQUOTE><BR>We have to consider all (P,Q,R)-chains.<BR>By using the rule removal processor [15] with the following polynomial ordering [25], at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.
<BR>Strictly oriented dependency pairs:
<BLOCKQUOTE><BR><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>L</font>) &#8594; <FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>L</font>))
<BR><FONT COLOR=#0000cc>U66_AG</font>(<FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X1</font>, <FONT COLOR=#cc0000>NL</font>)) &#8594; <FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(<FONT COLOR=#cc0000>NL</font>)</BLOCKQUOTE><BR>Strictly oriented rules of the TRS R:
<BLOCKQUOTE><BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#cc0000>NT</font>)) &#8594; <FONT COLOR=#0000cc>del_out_aga</font>(<FONT COLOR=#cc0000>X</font>, <FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>NT</font>))</BLOCKQUOTE><BR>Used ordering: POLO with Polynomial interpretation [25]:
<BLOCKQUOTE><BR>POL(<B><FONT COLOR=#0000cc>.</font>(x<SUB>1</SUB>, x<SUB>2</SUB>)</B>) = 2&middot;x<SUB>1</SUB> + 2&middot;x<SUB>2</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>DOMAIN_IN_AG</font>(x<SUB>1</SUB>)</B>) = 1 + x<SUB>1</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>U66_AG</font>(x<SUB>1</SUB>)</B>) = x<SUB>1</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>U68_aga</font>(x<SUB>1</SUB>, x<SUB>2</SUB>)</B>) = 2&middot;x<SUB>1</SUB> + 2&middot;x<SUB>2</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>del_in_aga</font>(x<SUB>1</SUB>)</B>) = x<SUB>1</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub>
<BR>POL(<B><FONT COLOR=#0000cc>del_out_aga</font>(x<SUB>1</SUB>, x<SUB>2</SUB>)</B>) = 2 + x<SUB>1</SUB> + x<SUB>2</SUB><sup>&nbsp;</sup> <sub>&nbsp;</sub></BLOCKQUOTE><BR><BR><BR><pre>&#8627 Prolog</pre><pre>  &#8627 PredefinedPredicateTransformerProof</pre><pre>    &#8627 Prolog</pre><pre>      &#8627 CutEliminatorProof</pre><pre>        &#8627 Prolog</pre><pre>          &#8627 UndefinedPredicateHandlerProof</pre><pre>            &#8627 Prolog</pre><pre>              &#8627 PrologToPiTRSProof</pre><pre>                &#8627 PiTRS</pre><pre>                  &#8627 DependencyPairsProof</pre><pre>                    &#8627 PiDP</pre><pre>                      &#8627 DependencyGraphProof</pre><pre>                        &#8627 AND</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                          &#8627 PiDP</pre><pre>                            &#8627 UsableRulesProof</pre><pre>                              &#8627 PiDP</pre><pre>                                &#8627 PiDPToQDPProof</pre><pre>                                  &#8627 QDP</pre><pre>                                    &#8627 RuleRemovalProof</pre><pre>                                      &#8627 QDP</pre><pre>                                        &#8627 RuleRemovalProof</pre><pre>                                          &#8627 <B>QDP</B></pre><pre>                                            &#8627 PisEmptyProof</pre><BR>Q DP problem:<BR>P is empty.<BR>The TRS R consists of the following rules:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#0000cc>.</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#cc0000>T</font>)) &#8594; <FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>Y</font>, <FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>T</font>))</BLOCKQUOTE><BR>The set Q consists of the following terms:<BR><BLOCKQUOTE><BR><FONT COLOR=#0000cc>del_in_aga</font>(<FONT COLOR=#cc0000>x0</font>)
<BR><FONT COLOR=#0000cc>U68_aga</font>(<FONT COLOR=#cc0000>x0</font>, <FONT COLOR=#cc0000>x1</font>)</BLOCKQUOTE><BR>We have to consider all (P,Q,R)-chains.<BR>The TRS P is empty. Hence, there is no (P,Q,R) chain.<BR><BR></body>

