/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: a(x1) -> x1 2: b(x1) -> x1 3: a(c(x1)) -> b(b(c(a(x1)))) 4: d(b(b(b(x1)))) -> a(d(a(x1))) 5: a(b(x1)) ->= b(a(x1)) 6: b(a(x1)) ->= a(b(x1)) Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(a(x1)) ->? #a(b(x1)) #2: #b(a(x1)) ->? #b(x1) #3: #a(b(x1)) ->? #b(a(x1)) #4: #a(b(x1)) ->? #a(x1) #5: #a(c(x1)) -> #b(b(c(a(x1)))) #6: #a(c(x1)) -> #b(c(a(x1))) #7: #a(c(x1)) -> #a(x1) #8: #d(b(b(b(x1)))) -> #a(d(a(x1))) #9: #d(b(b(b(x1)))) -> #d(a(x1)) #10: #d(b(b(b(x1)))) -> #a(x1) Number of SCCs: 2, DPs: 7 SCC { #9 } POLO(Sum)... succeeded. a w: x1 + 2 d w: 0 b w: x1 + 1 c w: 1 #d w: x1 #a w: 0 #b w: 0 USABLE RULES: { 1..3 5 6 } Removed DPs: #9 Number of SCCs: 1, DPs: 6 SCC { #1..5 #7 } POLO(Sum)... succeeded. a w: x1 + 1 d w: 0 b w: x1 c w: x1 + 1 #d w: x1 #a w: x1 + 1 #b w: x1 USABLE RULES: { 1..3 5 6 } Removed DPs: #2 #7 Number of SCCs: 1, DPs: 4 SCC { #1 #3..5 } POLO(Sum)... succeeded. a w: x1 + 3 d w: 0 b w: x1 + 1 c w: 1 #d w: x1 #a w: x1 + 2 #b w: x1 USABLE RULES: { 1..3 5 6 } Removed DPs: #4 #5 Number of SCCs: 1, DPs: 2 SCC { #1 #3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.