/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(mark(X))) 3: mark(a()) -> active(a()) 4: mark(g(X)) -> active(g(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(mark(X))) #2: #mark(f(X)) -> #f(mark(X)) #3: #mark(f(X)) -> #mark(X) #4: #f(active(X)) -> #f(X) #5: #g(mark(X)) -> #g(X) #6: #f(mark(X)) -> #f(X) #7: #mark(a()) -> #active(a()) #8: #active(f(f(a()))) -> #mark(f(g(f(a())))) #9: #active(f(f(a()))) -> #f(g(f(a()))) #10: #active(f(f(a()))) -> #g(f(a())) #11: #g(active(X)) -> #g(X) #12: #mark(g(X)) -> #active(g(X)) Number of SCCs: 3, DPs: 7 SCC { #5 #11 } 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: 0 USABLE RULES: { } Removed DPs: #5 #11 Number of SCCs: 2, DPs: 5 SCC { #4 #6 } 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: 0 USABLE RULES: { } Removed DPs: #4 #6 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #8 } POLO(Sum)... succeeded. a w: 1 f w: x1 + 1 #mark w: x1 mark w: 1 #f w: 0 #g w: 0 active w: x1 + 2 #active w: 1 g w: 0 USABLE RULES: { } Removed DPs: #3 Number of SCCs: 1, DPs: 2 SCC { #1 #8 } POLO(Sum)... succeeded. a w: 0 f w: x1 + 3 #mark w: x1 + 3 mark w: x1 + 1 #f w: 0 #g w: 0 active w: x1 #active w: x1 + 1 g w: 0 USABLE RULES: { 1..8 } Removed DPs: #1 #8 Number of SCCs: 0, DPs: 0