/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: f(s(x)) -> s(f(f(p(s(x))))) 2: f(0()) -> 0() 3: p(s(x)) -> x Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying p 1: f(s(x)) -> s(f(f(p^1_s(x)))) 2: f(0()) -> 0() 3: p^1_s(x) -> x 4: p(s(_1)) ->= p^1_s(_1) Number of strict rules: 3 Direct POLO(bPol) ... removes: 4 s w: x1 + 1 p^1_s w: x1 f w: x1 p w: 2 * x1 0 w: 1 Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #f(s(x)) -> #f(f(p^1_s(x))) #2: #f(s(x)) -> #f(p^1_s(x)) #3: #f(s(x)) -> #p^1_s(x) Number of SCCs: 1, DPs: 2 SCC { #1 #2 } POLO(Sum)... succeeded. s w: x1 + 1 #p^1_s w: 0 p^1_s w: x1 f w: x1 p w: 0 0 w: 1 #f w: x1 USABLE RULES: { 1..3 } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0