/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(a(b(x1))) -> c(c(c(x1))) 2: a(c(a(x1))) -> c(c(a(x1))) 3: a(c(a(x1))) -> b(a(a(x1))) 4: b(a(c(x1))) ->= b(b(c(x1))) 5: b(c(b(x1))) ->= a(b(b(x1))) 6: c(a(b(x1))) ->= b(b(a(x1))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(c(a(x1))) -> #c(c(a(x1))) #2: #c(a(b(x1))) ->? #b(b(a(x1))) #3: #c(a(b(x1))) ->? #b(a(x1)) #4: #c(a(b(x1))) ->? #a(x1) #5: #b(c(b(x1))) ->? #a(b(b(x1))) #6: #b(c(b(x1))) ->? #b(b(x1)) #7: #a(c(a(x1))) -> #b(a(a(x1))) #8: #a(c(a(x1))) -> #a(a(x1)) #9: #a(a(b(x1))) -> #c(c(c(x1))) #10: #a(a(b(x1))) -> #c(c(x1)) #11: #a(a(b(x1))) -> #c(x1) #12: #b(a(c(x1))) ->? #b(b(c(x1))) #13: #b(a(c(x1))) ->? #b(c(x1)) Number of SCCs: 1, DPs: 13 SCC { #1..13 } POLO(Sum)... succeeded. a w: x1 + 29243 b w: x1 + 29243 c w: x1 + 29243 #c w: x1 #a w: x1 #b w: x1 USABLE RULES: { 1..6 } Removed DPs: #3 #4 #6 #8 #10 #11 #13 Number of SCCs: 1, DPs: 6 SCC { #1 #2 #5 #7 #9 #12 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [0,1;0,0] * x1 + [0;1317] b w: [0,0;1,0] * x1 + [1;0] c w: [1317;1317] #c w: [2;1] #a w: [0,1;1,0] * x1 + [1;1] #b w: [1,0;1,0] * x1 USABLE RULES: { 1..6 } Removed DPs: #1 #2 #5 #7 #9 #12 Number of SCCs: 0, DPs: 0