/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: s(s(0())) -> f(0()) 2: f(0()) -> 0() 3: s(s(s(0()))) -> f(s(0())) 4: f(s(0())) -> s(0()) 5: s(s(s(s(s(s(s(s(0())))))))) -> f(s(s(0()))) 6: f(s(s(0()))) -> s(s(s(s(s(s(0())))))) 7: g(x) -> h(x,x) 8: s(x) -> h(x,0()) 9: s(x) -> h(0(),x) 10: f(g(x)) -> g(g(f(x))) 11: g(s(x)) -> s(s(g(x))) 12: h(f(x),g(x)) -> f(s(x)) Number of strict rules: 12 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #f(s(s(0()))) -> #s(s(s(s(s(s(0())))))) #2: #f(s(s(0()))) -> #s(s(s(s(s(0()))))) #3: #f(s(s(0()))) -> #s(s(s(s(0())))) #4: #f(s(s(0()))) -> #s(s(s(0()))) #5: #s(x) -> #h(0(),x) #6: #g(s(x)) -> #s(s(g(x))) #7: #g(s(x)) -> #s(g(x)) #8: #g(s(x)) -> #g(x) #9: #h(f(x),g(x)) -> #f(s(x)) #10: #h(f(x),g(x)) -> #s(x) #11: #g(x) -> #h(x,x) #12: #f(g(x)) -> #g(g(f(x))) #13: #f(g(x)) -> #g(f(x)) #14: #f(g(x)) -> #f(x) #15: #s(s(s(s(s(s(s(s(0())))))))) -> #f(s(s(0()))) #16: #s(s(s(0()))) -> #f(s(0())) #17: #s(s(0())) -> #f(0()) #18: #s(x) -> #h(x,0()) Number of SCCs: 2, DPs: 2 SCC { #14 } POLO(Sum)... succeeded. h w: 0 s w: 0 f w: 0 0 w: 0 #h w: 0 #s w: 0 #f w: x1 #g w: 0 g w: x1 + 1 USABLE RULES: { } Removed DPs: #14 Number of SCCs: 1, DPs: 1 SCC { #8 } POLO(Sum)... succeeded. h w: 0 s w: x1 + 1 f w: 0 0 w: 0 #h w: 0 #s w: 0 #f w: 0 #g w: x1 g w: 1 USABLE RULES: { } Removed DPs: #8 Number of SCCs: 0, DPs: 0