0.00/0.20 YES 0.00/0.20 Input TRS: 0.00/0.20 1: a(c(b(x1))) -> c(c(c(x1))) 0.00/0.20 2: b(c(c(x1))) -> a(a(b(x1))) 0.00/0.20 3: c(a(c(x1))) ->= b(a(b(x1))) 0.00/0.20 4: b(c(a(x1))) ->= a(b(c(x1))) 0.00/0.20 5: c(c(c(x1))) ->= c(c(b(x1))) 0.00/0.20 Number of strict rules: 2 0.00/0.20 Direct POLO(bPol) ... failed. 0.00/0.20 Uncurrying ... failed. 0.00/0.20 Dependency Pairs: 0.00/0.20 #1: #b(c(c(x1))) -> #a(a(b(x1))) 0.00/0.20 #2: #b(c(c(x1))) -> #a(b(x1)) 0.00/0.20 #3: #b(c(c(x1))) -> #b(x1) 0.00/0.20 #4: #c(c(c(x1))) ->? #c(c(b(x1))) 0.00/0.20 #5: #c(c(c(x1))) ->? #c(b(x1)) 0.00/0.20 #6: #c(c(c(x1))) ->? #b(x1) 0.00/0.20 #7: #c(a(c(x1))) ->? #b(a(b(x1))) 0.00/0.20 #8: #c(a(c(x1))) ->? #a(b(x1)) 0.00/0.20 #9: #c(a(c(x1))) ->? #b(x1) 0.00/0.20 #10: #a(c(b(x1))) -> #c(c(c(x1))) 0.00/0.20 #11: #a(c(b(x1))) -> #c(c(x1)) 0.00/0.20 #12: #a(c(b(x1))) -> #c(x1) 0.00/0.20 #13: #b(c(a(x1))) ->? #a(b(c(x1))) 0.00/0.20 #14: #b(c(a(x1))) ->? #b(c(x1)) 0.00/0.20 #15: #b(c(a(x1))) ->? #c(x1) 0.00/0.20 Number of SCCs: 1, DPs: 15 0.00/0.20 SCC { #1..15 } 0.00/0.20 POLO(Sum)... succeeded. 0.00/0.20 a w: x1 0.00/0.20 b w: 1 0.00/0.20 c w: 3 0.00/0.20 #c w: 2 0.00/0.20 #a w: x1 0.00/0.20 #b w: 2 0.00/0.20 USABLE RULES: { 1..5 } 0.00/0.20 Removed DPs: #1 #2 #8 #10..13 0.00/0.20 Number of SCCs: 1, DPs: 8 0.00/0.20 SCC { #3..7 #9 #14 #15 } 0.00/0.20 POLO(Sum)... succeeded. 0.00/0.20 a w: x1 + 3 0.00/0.20 b w: x1 + 3 0.00/0.20 c w: x1 + 3 0.00/0.20 #c w: x1 + 2 0.00/0.20 #a w: x1 0.00/0.20 #b w: x1 + 1 0.00/0.20 USABLE RULES: { 1..5 } 0.00/0.20 Removed DPs: #3 #5..7 #9 #14 #15 0.00/0.20 Number of SCCs: 1, DPs: 1 0.00/0.20 SCC { #4 } 0.00/0.20 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.20 a w: [1,1;1,0] * x1 0.00/0.20 b w: [0;0] 0.00/0.20 c w: [0,1;0,0] * x1 + [1;1] 0.00/0.20 #c w: [1,0;0,0] * x1 0.00/0.20 #a w: [0;0] 0.00/0.20 #b w: [0;0] 0.00/0.20 USABLE RULES: { 1..5 } 0.00/0.20 Removed DPs: #4 0.00/0.20 Number of SCCs: 0, DPs: 0 0.00/0.20 EOF