/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: c(a(a(x1))) -> a(c(a(x1))) 2: a(b(a(x1))) ->= b(c(c(x1))) 3: a(b(b(x1))) ->= b(b(a(x1))) 4: a(b(c(x1))) ->= a(a(a(x1))) 5: a(c(a(x1))) ->= b(b(b(x1))) 6: a(b(b(x1))) ->= c(c(b(x1))) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(b(a(x1))) ->? #c(c(x1)) #2: #a(b(a(x1))) ->? #c(x1) #3: #a(b(b(x1))) ->? #c(c(b(x1))) #4: #a(b(b(x1))) ->? #c(b(x1)) #5: #a(b(b(x1))) ->? #a(x1) #6: #c(a(a(x1))) -> #a(c(a(x1))) #7: #c(a(a(x1))) -> #c(a(x1)) #8: #a(b(c(x1))) ->? #a(a(a(x1))) #9: #a(b(c(x1))) ->? #a(a(x1)) #10: #a(b(c(x1))) ->? #a(x1) Number of SCCs: 1, DPs: 8 SCC { #1 #2 #5..10 } POLO(Sum)... succeeded. a w: x1 + 8857 b w: x1 + 8857 c w: x1 + 8857 #c w: x1 + 8856 #a w: x1 USABLE RULES: { 1..6 } Removed DPs: #1 #2 #5..7 #9 #10 Number of SCCs: 1, DPs: 1 SCC { #8 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [0,0;0,1] * x1 + [1;0] b w: [0,0;1,0] * x1 c w: [0,1;0,0] * x1 + [1;0] #c w: [0;0] #a w: [0,1;0,0] * x1 USABLE RULES: { 1..6 } Removed DPs: #8 Number of SCCs: 0, DPs: 0