0.90/0.73 YES 0.90/0.73 Input TRS: 0.90/0.73 1: a(a(b(b(x1)))) -> b(b(c(c(a(a(x1)))))) 0.90/0.73 2: b(b(c(c(x1)))) -> c(c(b(b(b(b(x1)))))) 0.90/0.73 3: b(b(a(a(x1)))) -> a(a(c(c(b(b(x1)))))) 0.90/0.73 Number of strict rules: 3 0.90/0.73 Direct POLO(bPol) ... failed. 0.90/0.73 Uncurrying ... failed. 0.90/0.73 Dependency Pairs: 0.90/0.73 #1: #b(b(c(c(x1)))) -> #b(b(b(b(x1)))) 0.90/0.73 #2: #b(b(c(c(x1)))) -> #b(b(b(x1))) 0.90/0.73 #3: #b(b(c(c(x1)))) -> #b(b(x1)) 0.90/0.73 #4: #b(b(c(c(x1)))) -> #b(x1) 0.90/0.73 #5: #b(b(a(a(x1)))) -> #a(a(c(c(b(b(x1)))))) 0.90/0.73 #6: #b(b(a(a(x1)))) -> #a(c(c(b(b(x1))))) 0.90/0.73 #7: #b(b(a(a(x1)))) -> #b(b(x1)) 0.90/0.73 #8: #b(b(a(a(x1)))) -> #b(x1) 0.90/0.73 #9: #a(a(b(b(x1)))) -> #b(b(c(c(a(a(x1)))))) 0.90/0.73 #10: #a(a(b(b(x1)))) -> #b(c(c(a(a(x1))))) 0.90/0.73 #11: #a(a(b(b(x1)))) -> #a(a(x1)) 0.90/0.73 #12: #a(a(b(b(x1)))) -> #a(x1) 0.90/0.73 Number of SCCs: 2, DPs: 8 0.90/0.73 SCC { #11 #12 } 0.90/0.73 POLO(Sum)... succeeded. 0.90/0.73 a w: x1 + 1 0.90/0.73 b w: x1 + 1 0.90/0.73 c w: 1 0.90/0.73 #a w: x1 0.90/0.73 #b w: 0 0.90/0.73 USABLE RULES: { 1..3 } 0.90/0.73 Removed DPs: #11 #12 0.90/0.73 Number of SCCs: 1, DPs: 6 0.90/0.73 SCC { #1..4 #7 #8 } 0.90/0.73 POLO(Sum)... succeeded. 0.90/0.73 a w: x1 + 3 0.90/0.73 b w: x1 0.90/0.73 c w: x1 0.90/0.73 #a w: x1 0.90/0.73 #b w: x1 0.90/0.73 USABLE RULES: { 1..3 } 0.90/0.73 Removed DPs: #7 #8 0.90/0.73 Number of SCCs: 1, DPs: 4 0.90/0.73 SCC { #1..4 } 0.90/0.73 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.90/0.73 a w: [1,0;1,0] * x1 + [1;1] 0.90/0.73 b w: x1 + [1;0] 0.90/0.73 c w: [0,0;0,1] * x1 + [0;1] 0.90/0.73 #a w: [0;0] 0.90/0.73 #b w: [0,1;0,0] * x1 0.90/0.73 USABLE RULES: { 1..3 } 0.90/0.73 Removed DPs: #1..4 0.90/0.73 Number of SCCs: 0, DPs: 0 0.90/0.73 EOF