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) f(a,empty) -> g(a,empty) (2) f(a,cons(x,k)) -> f(cons(x,a),k) (3) g(empty,d) -> d (4) g(cons(x,k),d) -> g(k,cons(x,d)) [2] Use following polynomial interpretation: [empty] = 3 rest default Remove rules with left hand side strictly bigger than right hand side: (3) [3] Use following polynomial interpretation: [f(x,y)] = x + y + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (1) [4] All the rules of this TRS can be oriented with RPO with the following precedence: Status: f: Lex-RL, g: Lex-LR, Precedence: f > cons g > cons ../tpdb/TRS/LJB01/jones6.trs, 0.01, Y Couldn't open file <60>: 60: No such file or directory