0.00/0.26 YES 0.00/0.27 Input TRS: 0.00/0.27 1: a(a(b(x1))) -> a(c(c(x1))) 0.00/0.27 2: c(c(b(x1))) -> b(b(c(x1))) 0.00/0.27 3: c(a(a(x1))) -> c(a(c(x1))) 0.00/0.27 4: b(b(c(x1))) ->= b(a(c(x1))) 0.00/0.27 5: a(b(a(x1))) ->= a(b(c(x1))) 0.00/0.27 6: c(a(c(x1))) ->= c(b(a(x1))) 0.00/0.27 7: a(a(b(x1))) ->= a(a(b(x1))) 0.00/0.27 Removing trivial weak rule 7. 0.00/0.27 Number of strict rules: 3 0.00/0.27 Direct POLO(bPol) ... failed. 0.00/0.27 Uncurrying ... failed. 0.00/0.27 Dependency Pairs: 0.00/0.27 #1: #c(c(b(x1))) -> #b(b(c(x1))) 0.00/0.27 #2: #c(c(b(x1))) -> #b(c(x1)) 0.00/0.27 #3: #c(c(b(x1))) -> #c(x1) 0.00/0.27 #4: #c(a(c(x1))) ->? #c(b(a(x1))) 0.00/0.27 #5: #c(a(c(x1))) ->? #b(a(x1)) 0.00/0.27 #6: #c(a(c(x1))) ->? #a(x1) 0.00/0.27 #7: #a(b(a(x1))) ->? #a(b(c(x1))) 0.00/0.27 #8: #a(b(a(x1))) ->? #b(c(x1)) 0.00/0.27 #9: #a(b(a(x1))) ->? #c(x1) 0.00/0.27 #10: #c(a(a(x1))) -> #c(a(c(x1))) 0.00/0.27 #11: #c(a(a(x1))) -> #a(c(x1)) 0.00/0.27 #12: #c(a(a(x1))) -> #c(x1) 0.00/0.27 #13: #a(a(b(x1))) -> #a(c(c(x1))) 0.00/0.27 #14: #a(a(b(x1))) -> #c(c(x1)) 0.00/0.27 #15: #a(a(b(x1))) -> #c(x1) 0.00/0.27 #16: #b(b(c(x1))) ->? #b(a(c(x1))) 0.00/0.27 #17: #b(b(c(x1))) ->? #a(c(x1)) 0.00/0.27 Number of SCCs: 1, DPs: 14 0.00/0.27 SCC { #1..3 #6..15 #17 } 0.00/0.27 POLO(Sum)... succeeded. 0.00/0.27 a w: x1 + 2 0.00/0.27 b w: x1 + 2 0.00/0.27 c w: x1 + 2 0.00/0.27 #c w: x1 + 1 0.00/0.27 #a w: x1 + 1 0.00/0.27 #b w: x1 0.00/0.27 USABLE RULES: { 1..6 } 0.00/0.27 Removed DPs: #1..3 #6 #8 #9 #11 #12 #14 #15 #17 0.00/0.27 Number of SCCs: 2, DPs: 2 0.00/0.27 SCC { #10 } 0.00/0.27 POLO(Sum)... succeeded. 0.00/0.27 a w: x1 + 3 0.00/0.27 b w: 0 0.00/0.27 c w: x1 + 2 0.00/0.27 #c w: x1 + 1 0.00/0.27 #a w: x1 0.00/0.27 #b w: 0 0.00/0.27 USABLE RULES: { 2..6 } 0.00/0.27 Removed DPs: #10 0.00/0.27 Number of SCCs: 1, DPs: 1 0.00/0.27 SCC { #7 } 0.00/0.27 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.27 a w: [1;2] 0.00/0.27 b w: [0,1;1,0] * x1 0.00/0.27 c w: [2;1] 0.00/0.27 #c w: [0;0] 0.00/0.27 #a w: [1,0;0,0] * x1 0.00/0.27 #b w: [0;0] 0.00/0.27 USABLE RULES: { 1..6 } 0.00/0.27 Removed DPs: #7 0.00/0.27 Number of SCCs: 0, DPs: 0 0.00/0.27 EOF