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