0.00/0.45 MAYBE 0.00/0.45 Input TRS: 0.00/0.45 1: c(a(b(x1))) -> a(c(a(x1))) 0.00/0.45 2: c(c(c(x1))) -> b(b(b(x1))) 0.00/0.45 3: a(c(a(x1))) ->= b(a(a(x1))) 0.00/0.45 4: a(a(a(x1))) ->= a(a(a(x1))) 0.00/0.45 5: a(a(b(x1))) ->= c(b(a(x1))) 0.00/0.45 6: b(a(c(x1))) ->= c(b(c(x1))) 0.00/0.45 7: b(a(c(x1))) ->= b(a(b(x1))) 0.00/0.45 Removing trivial weak rule 4. 0.00/0.45 Number of strict rules: 2 0.00/0.45 Direct POLO(bPol) ... failed. 0.00/0.45 Uncurrying ... failed. 0.00/0.45 Dependency Pairs: 0.00/0.45 #1: #c(c(c(x1))) -> #b(b(b(x1))) 0.00/0.45 #2: #c(c(c(x1))) -> #b(b(x1)) 0.00/0.45 #3: #c(c(c(x1))) -> #b(x1) 0.00/0.45 #4: #b(a(c(x1))) ->? #c(b(c(x1))) 0.00/0.45 #5: #b(a(c(x1))) ->? #b(c(x1)) 0.00/0.45 #6: #b(a(c(x1))) ->? #b(a(b(x1))) 0.00/0.45 #7: #b(a(c(x1))) ->? #a(b(x1)) 0.00/0.45 #8: #b(a(c(x1))) ->? #b(x1) 0.00/0.45 #9: #a(a(b(x1))) ->? #c(b(a(x1))) 0.00/0.45 #10: #a(a(b(x1))) ->? #b(a(x1)) 0.00/0.45 #11: #a(a(b(x1))) ->? #a(x1) 0.00/0.45 #12: #a(c(a(x1))) ->? #b(a(a(x1))) 0.00/0.45 #13: #a(c(a(x1))) ->? #a(a(x1)) 0.00/0.45 #14: #c(a(b(x1))) -> #a(c(a(x1))) 0.00/0.45 #15: #c(a(b(x1))) -> #c(a(x1)) 0.00/0.45 #16: #c(a(b(x1))) -> #a(x1) 0.00/0.45 Number of SCCs: 1, DPs: 16 0.00/0.45 SCC { #1..16 } 0.00/0.45 POLO(Sum)... succeeded. 0.00/0.45 a w: x1 + 1 0.00/0.45 b w: x1 + 1 0.00/0.45 c w: x1 + 1 0.00/0.45 #c w: x1 0.00/0.45 #a w: x1 0.00/0.45 #b w: x1 0.00/0.45 USABLE RULES: { 1..3 5..7 } 0.00/0.45 Removed DPs: #2 #3 #5 #7 #8 #10 #11 #13 #15 #16 0.00/0.45 Number of SCCs: 1, DPs: 6 0.00/0.45 SCC { #1 #4 #6 #9 #12 #14 } 0.00/0.45 POLO(Sum)... succeeded. 0.00/0.45 a w: 1 0.00/0.45 b w: 0 0.00/0.45 c w: x1 0.00/0.45 #c w: 1 0.00/0.45 #a w: x1 0.00/0.45 #b w: x1 0.00/0.45 USABLE RULES: { 1..3 5..7 } 0.00/0.45 Removed DPs: #1 0.00/0.45 Number of SCCs: 1, DPs: 5 0.00/0.45 SCC { #4 #6 #9 #12 #14 } 0.00/0.45 POLO(Sum)... succeeded. 0.00/0.45 a w: 3 0.00/0.45 b w: 0 0.00/0.45 c w: x1 0.00/0.45 #c w: x1 + 2 0.00/0.45 #a w: x1 + 1 0.00/0.45 #b w: x1 0.00/0.45 USABLE RULES: { 1..3 5..7 } 0.00/0.45 Removed DPs: #4 #9 #12 #14 0.00/0.45 Number of SCCs: 1, DPs: 1 0.00/0.45 SCC { #6 } 0.00/0.45 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.00/0.45 Finding a loop... failed. 0.00/0.45 EOF