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) f(X,g(X)) -> f(1,g(X)) (2) g(1) -> g(0) [2] Label this TRS using following interpretation over N\{0,1}: [f(x,y)] = 2 [g(x)] = 2 [1] = 3 rest default This interpretation is a model and yields following TRS: (1) f{i,2}(X,g{i}(X)) -> f{3,2}(1,g{i}(X)) (2) g{3}(1) -> g{2}(0) [3] Use following polynomial interpretation: [f_{i,j}(x,y)] = x + y - 2 [g_{i}(x)] = x + i rest default Remove rules with left hand side strictly bigger than right hand side: (2) [4] Unlabel this TRS to obtain the one consisting of the rules: (1) ../tpdb/TRS/nontermin/Rubio-inn/gkg.trs, 0., U Couldn't open file <60>: 60: No such file or directory