/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a(a(c(x1))) -> c(c(c(x1))) 2: a(c(b(x1))) -> a(a(c(x1))) 3: b(c(a(x1))) -> b(a(b(x1))) 4: a(b(c(x1))) -> b(a(c(x1))) 5: b(c(b(x1))) ->= a(b(c(x1))) 6: a(c(b(x1))) ->= c(c(b(x1))) Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(c(b(x1))) -> #a(a(c(x1))) #2: #a(c(b(x1))) -> #a(c(x1)) #3: #b(c(b(x1))) ->? #a(b(c(x1))) #4: #b(c(b(x1))) ->? #b(c(x1)) #5: #b(c(a(x1))) -> #b(a(b(x1))) #6: #b(c(a(x1))) -> #a(b(x1)) #7: #b(c(a(x1))) -> #b(x1) #8: #a(b(c(x1))) -> #b(a(c(x1))) #9: #a(b(c(x1))) -> #a(c(x1)) Number of SCCs: 1, DPs: 9 SCC { #1..9 } POLO(Sum)... succeeded. a w: x1 + 1 b w: x1 + 1 c w: x1 + 1 #a w: x1 #b w: x1 USABLE RULES: { 1..6 } Removed DPs: #2 #4 #6 #7 #9 Number of SCCs: 1, DPs: 4 SCC { #1 #3 #5 #8 } POLO(Sum)... succeeded. a w: x1 b w: 8856 c w: 11294 #a w: x1 + 2438 #b w: x1 USABLE RULES: { 1..6 } Removed DPs: #5 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #8 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [42415;42416] b w: [42415;42416] c w: [0,1;0,0] * x1 + [1;16336] #a w: [1,0;1,0] * x1 + [1;0] #b w: [1,0;0,0] * x1 + [0;42415] USABLE RULES: { 1..6 } Removed DPs: #1 #3 #8 Number of SCCs: 0, DPs: 0