/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a(b(b(x1))) -> c(b(a(x1))) 2: a(a(c(x1))) -> b(c(a(x1))) 3: a(a(b(x1))) -> a(c(b(x1))) 4: b(a(a(x1))) ->= c(a(a(x1))) 5: c(b(b(x1))) ->= b(a(a(x1))) 6: c(b(a(x1))) ->= b(c(c(x1))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(a(c(x1))) -> #b(c(a(x1))) #2: #a(a(c(x1))) -> #c(a(x1)) #3: #a(a(c(x1))) -> #a(x1) #4: #c(b(a(x1))) ->? #b(c(c(x1))) #5: #c(b(a(x1))) ->? #c(c(x1)) #6: #c(b(a(x1))) ->? #c(x1) #7: #c(b(b(x1))) ->? #b(a(a(x1))) #8: #c(b(b(x1))) ->? #a(a(x1)) #9: #c(b(b(x1))) ->? #a(x1) #10: #a(a(b(x1))) -> #a(c(b(x1))) #11: #a(a(b(x1))) -> #c(b(x1)) #12: #a(b(b(x1))) -> #c(b(a(x1))) #13: #a(b(b(x1))) -> #b(a(x1)) #14: #a(b(b(x1))) -> #a(x1) #15: #b(a(a(x1))) ->? #c(a(a(x1))) Number of SCCs: 1, DPs: 13 SCC { #2 #3 #5..15 } POLO(Sum)... succeeded. a w: x1 + 10452 b w: x1 + 10452 c w: x1 + 10452 #c w: x1 #a w: x1 + 10451 #b w: x1 USABLE RULES: { 1..6 } Removed DPs: #2 #3 #5 #6 #8 #9 #11..14 Number of SCCs: 1, DPs: 2 SCC { #7 #15 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1,0;1,0] * x1 + [2;28680] b w: [0,1;1,0] * x1 + [3;28680] c w: [1,0;1,0] * x1 + [2;1] #c w: [1,0;1,0] * x1 #a w: [0;0] #b w: [0,1;1,0] * x1 USABLE RULES: { 1..6 } Removed DPs: #7 #15 Number of SCCs: 0, DPs: 0