/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(c(b(x1))) -> c(c(c(x1))) 2: b(c(c(x1))) -> a(a(b(x1))) 3: c(a(c(x1))) ->= b(a(b(x1))) 4: b(c(a(x1))) ->= a(b(c(x1))) 5: c(c(c(x1))) ->= c(c(b(x1))) Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(c(c(x1))) -> #a(a(b(x1))) #2: #b(c(c(x1))) -> #a(b(x1)) #3: #b(c(c(x1))) -> #b(x1) #4: #c(c(c(x1))) ->? #c(c(b(x1))) #5: #c(c(c(x1))) ->? #c(b(x1)) #6: #c(c(c(x1))) ->? #b(x1) #7: #c(a(c(x1))) ->? #b(a(b(x1))) #8: #c(a(c(x1))) ->? #a(b(x1)) #9: #c(a(c(x1))) ->? #b(x1) #10: #a(c(b(x1))) -> #c(c(c(x1))) #11: #a(c(b(x1))) -> #c(c(x1)) #12: #a(c(b(x1))) -> #c(x1) #13: #b(c(a(x1))) ->? #a(b(c(x1))) #14: #b(c(a(x1))) ->? #b(c(x1)) #15: #b(c(a(x1))) ->? #c(x1) Number of SCCs: 1, DPs: 15 SCC { #1..15 } POLO(Sum)... succeeded. a w: x1 + 2438 b w: x1 + 2438 c w: x1 + 2438 #c w: x1 #a w: x1 #b w: x1 USABLE RULES: { 1..5 } Removed DPs: #2 #3 #5 #6 #8 #9 #11 #12 #14 #15 Number of SCCs: 1, DPs: 5 SCC { #1 #4 #7 #10 #13 } POLO(Sum)... succeeded. a w: x1 b w: 17678 c w: 17681 #c w: x1 #a w: x1 + 2 #b w: x1 + 1 USABLE RULES: { 1..5 } Removed DPs: #1 #7 #10 #13 Number of SCCs: 1, DPs: 1 SCC { #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1,0;1,1] * x1 + [0;42627] b w: [0,0;1,1] * x1 + [0;10516] c w: [0,0;1,1] * x1 + [32111;10516] #c w: [0,1;1,0] * x1 #a w: [0;0] #b w: [0;0] USABLE RULES: { 1..5 } Removed DPs: #4 Number of SCCs: 0, DPs: 0