/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(b(c(x1))) 2: b(c(b(x1))) -> a(b(c(x1))) 3: a(a(b(x1))) -> c(a(b(x1))) 4: a(c(b(x1))) ->= c(c(c(x1))) 5: c(a(c(x1))) ->= c(b(b(x1))) 6: b(a(b(x1))) ->= c(c(b(x1))) 7: c(b(c(x1))) ->= c(c(b(x1))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(c(b(x1))) -> #a(b(c(x1))) #2: #b(c(b(x1))) -> #b(c(x1)) #3: #b(c(b(x1))) -> #c(x1) #4: #b(a(b(x1))) ->? #c(c(b(x1))) #5: #b(a(b(x1))) ->? #c(b(x1)) #6: #c(b(c(x1))) ->? #c(c(b(x1))) #7: #c(b(c(x1))) ->? #c(b(x1)) #8: #c(b(c(x1))) ->? #b(x1) #9: #c(a(c(x1))) ->? #c(b(b(x1))) #10: #c(a(c(x1))) ->? #b(b(x1)) #11: #c(a(c(x1))) ->? #b(x1) #12: #a(a(b(x1))) -> #c(a(b(x1))) #13: #a(a(b(x1))) -> #c(b(c(x1))) #14: #a(a(b(x1))) -> #b(c(x1)) #15: #a(a(b(x1))) -> #c(x1) #16: #a(c(b(x1))) ->? #c(c(c(x1))) #17: #a(c(b(x1))) ->? #c(c(x1)) #18: #a(c(b(x1))) ->? #c(x1) Number of SCCs: 1, DPs: 14 SCC { #1..3 #5 #7..15 #18 } POLO(Sum)... succeeded. a w: x1 + 32288 b w: x1 + 32288 c w: x1 + 32288 #c w: x1 #a w: x1 + 1 #b w: x1 + 2 USABLE RULES: { 1..7 } Removed DPs: #1..3 #5 #7 #8 #10..15 #18 Number of SCCs: 1, DPs: 1 SCC { #9 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [0,1;0,1] * x1 + [93908;46955] b w: [1,0;1,0] * x1 + [46955;1] c w: [1,0;1,0] * x1 + [46953;2] #c w: [0,1;1,1] * x1 #a w: [0;0] #b w: [0;0] USABLE RULES: { 1..7 } Removed DPs: #9 Number of SCCs: 0, DPs: 0