/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: +(x,0()) -> x 2: +(x,s(y)) -> s(+(x,y)) 3: +(0(),y) -> y 4: +(s(x),y) -> s(+(x,y)) 5: +(x,+(y,z)) -> +(+(x,y),z) 6: f(g(f(x))) -> f(h(s(0()),x)) 7: f(g(h(x,y))) -> f(h(s(x),y)) 8: f(h(x,h(y,z))) -> f(h(+(x,y),z)) Number of strict rules: 8 Direct poly ... removes: 8 1 3 5 7 6 2 h(x1,x2) w: (2 + 2 * x2 + 2 * x1) s(x1) w: (1 + x1) f(x1) w: (32287 + 2 * x1) 0() w: (32286) +(x1,x2) w: (1 + 2 * x2 + x1) g(x1) w: (4 + 2 * x1) Number of strict rules: 1 Direct poly ... removes: 4 h(x1,x2) w: (2 * x2 + x1) s(x1) w: (1 + x1) f(x1) w: (841 + 2 * x1) 0() w: (19429) +(x1,x2) w: (2 * x2 + 2 * x1) g(x1) w: (18588 + x1) Number of strict rules: 0