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) app(app(app(compose,f),g),x) -> app(f,app(g,x)) [2] Use following polynomial interpretation: [app(x,y)] = x + y + 1 rest default Remove rules with left hand side strictly bigger than right hand side: (1) [3] Since there are no remaining rules, termination is proved! ../tpdb/TRS/higher-order/Bird/Ex2_6_1Composition.trs, 0.01, Y Couldn't open file <60>: 60: No such file or directory