0.00/0.10 YES 0.00/0.10 Input TRS: 0.00/0.10 1: a(b(c(x1))) -> b(a(a(x1))) 0.00/0.10 2: a(b(b(x1))) -> b(c(a(x1))) 0.00/0.10 3: a(b(a(x1))) ->= a(b(a(x1))) 0.00/0.10 4: c(b(a(x1))) ->= a(a(b(x1))) 0.00/0.10 5: c(a(a(x1))) ->= c(a(b(x1))) 0.00/0.10 6: c(b(c(x1))) ->= a(c(c(x1))) 0.00/0.10 Removing trivial weak rule 3. 0.00/0.10 Number of strict rules: 2 0.00/0.10 Direct POLO(bPol) ... failed. 0.00/0.10 Uncurrying ... failed. 0.00/0.10 Dependency Pairs: 0.00/0.10 #1: #a(b(b(x1))) -> #c(a(x1)) 0.00/0.10 #2: #a(b(b(x1))) -> #a(x1) 0.00/0.10 #3: #c(b(c(x1))) ->? #a(c(c(x1))) 0.00/0.10 #4: #c(b(c(x1))) ->? #c(c(x1)) 0.00/0.10 #5: #c(a(a(x1))) ->? #c(a(b(x1))) 0.00/0.10 #6: #c(a(a(x1))) ->? #a(b(x1)) 0.00/0.10 #7: #a(b(c(x1))) -> #a(a(x1)) 0.00/0.10 #8: #a(b(c(x1))) -> #a(x1) 0.00/0.10 #9: #c(b(a(x1))) ->? #a(a(b(x1))) 0.00/0.10 #10: #c(b(a(x1))) ->? #a(b(x1)) 0.00/0.10 Number of SCCs: 1, DPs: 10 0.00/0.10 SCC { #1..10 } 0.00/0.10 POLO(Sum)... succeeded. 0.00/0.10 a w: x1 + 2 0.00/0.10 b w: x1 + 2 0.00/0.10 c w: x1 + 2 0.00/0.10 #c w: x1 + 1 0.00/0.10 #a w: x1 0.00/0.10 USABLE RULES: { 1 2 4..6 } 0.00/0.10 Removed DPs: #1..4 #6..10 0.00/0.10 Number of SCCs: 0, DPs: 0 0.00/0.10 EOF