MAYBE TPA v.1.0 Result: Couldn't prove (non-)termination of that system. Only partial proof available. Default interpretations for symbols are not printed. For polynomial interpretations and semantic labelling over N\{0,1} defaults are 2 for constants, identity for unary symbols and x+y-2 for binary symbols. For semantic labelling over {0,1} (booleans) defaults are 0 for constants, identity for unary symbols and disjunction for binary symbols. [1] TRS loaded from input file: (1) 2nd(cons(X,cons(Y,Z))) -> Y (2) from(X) -> cons(X,from(s(X))) [2] Eliminate dummy symbol , to obtain the following TRS: (1) 2nd(cons(X,cons(Y,Z))) -> Y (2a) from(X) -> cons(X,from(#0)) (2b) from(X) -> #1(X) [3] Use following polynomial interpretation: [from(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (2b) [4] Use following polynomial interpretation: [2nd(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (1) ../tpdb/TRS/nontermin/CSR/Ex1_2_Luc02c.trs, 0.01, U Couldn't open file <60>: 60: No such file or directory