YES TPA v.1.0 Result: TRS is terminating 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) a34(a56(x)) -> a56(a34(x)) (2) a23(a56(x)) -> a56(a23(x)) (3) a23(a45(x)) -> a45(a23(x)) (4) a12(a56(x)) -> a56(a12(x)) (5) a12(a45(x)) -> a45(a12(x)) (6) a12(a34(x)) -> a34(a12(x)) (7) a45(a56(a45(a56(a45(a56(x)))))) -> x (8) a34(a45(a34(a45(a34(a45(x)))))) -> x (9) a23(a34(a23(a34(a23(a34(x)))))) -> x (10) a12(a23(a12(a23(a12(a23(x)))))) -> x (11) a46(x) -> a45(a56(a45(x))) (12) a36(x) -> a34(a45(a56(a45(a34(x))))) (13) a35(x) -> a34(a45(a34(x))) (14) a26(x) -> a23(a34(a45(a56(a45(a34(a23(x))))))) (15) a25(x) -> a23(a34(a45(a34(a23(x))))) (16) a24(x) -> a23(a34(a23(x))) (17) a16(x) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x))))))))) (18) a15(x) -> a12(a23(a34(a45(a34(a23(a12(x))))))) (19) a14(x) -> a12(a23(a34(a23(a12(x))))) (20) a13(x) -> a12(a23(a12(x))) (21) a56(a56(x)) -> x (22) a46(a46(x)) -> x (23) a45(a45(x)) -> x (24) a36(a36(x)) -> x (25) a35(a35(x)) -> x (26) a34(a34(x)) -> x (27) a26(a26(x)) -> x (28) a25(a25(x)) -> x (29) a24(a24(x)) -> x (30) a23(a23(x)) -> x (31) a16(a16(x)) -> x (32) a15(a15(x)) -> x (33) a14(a14(x)) -> x (34) a13(a13(x)) -> x (35) a12(a12(x)) -> x [2] Use following polynomial interpretation: [a13(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (20), (34) [3] Use following polynomial interpretation: [a14(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (19), (33) [4] Use following polynomial interpretation: [a15(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (18), (32) [5] Use following polynomial interpretation: [a16(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (17), (31) [6] Use following polynomial interpretation: [a24(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (16), (29) [7] Use following polynomial interpretation: [a25(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (15), (28) [8] Use following polynomial interpretation: [a26(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (14), (27) [9] Use following polynomial interpretation: [a35(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (13), (25) [10] Use following polynomial interpretation: [a36(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (12), (24) [11] Use following polynomial interpretation: [a46(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (11), (22) [12] Use following polynomial interpretation: [a12(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (10), (35) [13] Use following polynomial interpretation: [a45(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (7)-(8), (23) [14] Use following polynomial interpretation: [a23(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (9), (30) [15] Use following polynomial interpretation: [a56(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (21) [16] Use following polynomial interpretation: [a34(x)] = x + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (26) [17] All the rules of this TRS can be oriented with RPO with the following precedence: Precedence: a34 > a56 a12 > a34 a23 > a56 a12 > a56 a23 > a45 a12 > a45 ../tpdb/SRS/Marche/s6.srs, 0.04, Y Couldn't open file <60>: 60: No such file or directory