0.00/0.18 YES 0.00/0.18 Input TRS: 0.00/0.18 1: a(a(b(x1))) -> c(b(c(x1))) 0.00/0.18 2: b(c(b(x1))) -> a(b(c(x1))) 0.00/0.18 3: a(a(b(x1))) -> c(a(b(x1))) 0.00/0.18 4: a(c(b(x1))) ->= c(c(c(x1))) 0.00/0.18 5: c(a(c(x1))) ->= c(b(b(x1))) 0.00/0.18 6: b(a(b(x1))) ->= c(c(b(x1))) 0.00/0.18 7: c(b(c(x1))) ->= c(c(b(x1))) 0.00/0.18 Number of strict rules: 3 0.00/0.18 Direct POLO(bPol) ... failed. 0.00/0.18 Uncurrying ... failed. 0.00/0.18 Dependency Pairs: 0.00/0.18 #1: #b(c(b(x1))) -> #a(b(c(x1))) 0.00/0.18 #2: #b(c(b(x1))) -> #b(c(x1)) 0.00/0.18 #3: #b(c(b(x1))) -> #c(x1) 0.00/0.18 #4: #b(a(b(x1))) ->? #c(c(b(x1))) 0.00/0.18 #5: #b(a(b(x1))) ->? #c(b(x1)) 0.00/0.18 #6: #c(b(c(x1))) ->? #c(c(b(x1))) 0.00/0.18 #7: #c(b(c(x1))) ->? #c(b(x1)) 0.00/0.18 #8: #c(b(c(x1))) ->? #b(x1) 0.00/0.18 #9: #c(a(c(x1))) ->? #c(b(b(x1))) 0.00/0.18 #10: #c(a(c(x1))) ->? #b(b(x1)) 0.00/0.18 #11: #c(a(c(x1))) ->? #b(x1) 0.00/0.18 #12: #a(a(b(x1))) -> #c(a(b(x1))) 0.00/0.18 #13: #a(a(b(x1))) -> #c(b(c(x1))) 0.00/0.18 #14: #a(a(b(x1))) -> #b(c(x1)) 0.00/0.18 #15: #a(a(b(x1))) -> #c(x1) 0.00/0.18 #16: #a(c(b(x1))) ->? #c(c(c(x1))) 0.00/0.18 #17: #a(c(b(x1))) ->? #c(c(x1)) 0.00/0.18 #18: #a(c(b(x1))) ->? #c(x1) 0.00/0.18 Number of SCCs: 1, DPs: 14 0.00/0.18 SCC { #1..3 #5 #7..15 #18 } 0.00/0.18 POLO(Sum)... succeeded. 0.00/0.18 a w: x1 + 3 0.00/0.18 b w: x1 + 3 0.00/0.18 c w: x1 + 3 0.00/0.18 #c w: x1 0.00/0.18 #a w: x1 + 1 0.00/0.18 #b w: x1 + 2 0.00/0.18 USABLE RULES: { 1..7 } 0.00/0.18 Removed DPs: #1..3 #5 #7 #8 #10..15 #18 0.00/0.18 Number of SCCs: 1, DPs: 1 0.00/0.18 SCC { #9 } 0.00/0.18 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.18 a w: [0,1;0,1] * x1 + [5;3] 0.00/0.18 b w: [1,0;1,0] * x1 + [3;0] 0.00/0.18 c w: [1,0;1,0] * x1 + [1;1] 0.00/0.18 #c w: [0,1;0,0] * x1 0.00/0.18 #a w: [0;0] 0.00/0.18 #b w: [0;0] 0.00/0.18 USABLE RULES: { 1..7 } 0.00/0.18 Removed DPs: #9 0.00/0.18 Number of SCCs: 0, DPs: 0 0.00/0.18 EOF