0.79/0.83 MAYBE 0.79/0.83 Input TRS: 0.79/0.83 1: c(b(b(x1))) -> a(c(a(x1))) 0.79/0.83 2: a(c(c(x1))) -> a(a(b(x1))) 0.79/0.83 3: a(a(c(x1))) -> b(b(a(x1))) 0.79/0.83 4: b(c(b(x1))) ->= a(b(b(x1))) 0.79/0.83 5: b(c(c(x1))) ->= c(b(b(x1))) 0.79/0.83 6: a(b(b(x1))) ->= a(c(b(x1))) 0.79/0.83 7: c(c(a(x1))) ->= a(b(c(x1))) 0.79/0.83 Number of strict rules: 3 0.79/0.83 Direct POLO(bPol) ... failed. 0.79/0.83 Uncurrying ... failed. 0.79/0.83 Dependency Pairs: 0.79/0.83 #1: #a(c(c(x1))) -> #a(a(b(x1))) 0.79/0.83 #2: #a(c(c(x1))) -> #a(b(x1)) 0.79/0.83 #3: #a(c(c(x1))) -> #b(x1) 0.79/0.83 #4: #a(b(b(x1))) ->? #a(c(b(x1))) 0.79/0.83 #5: #a(b(b(x1))) ->? #c(b(x1)) 0.79/0.83 #6: #c(c(a(x1))) ->? #a(b(c(x1))) 0.79/0.83 #7: #c(c(a(x1))) ->? #b(c(x1)) 0.79/0.83 #8: #c(c(a(x1))) ->? #c(x1) 0.79/0.83 #9: #b(c(c(x1))) ->? #c(b(b(x1))) 0.79/0.83 #10: #b(c(c(x1))) ->? #b(b(x1)) 0.79/0.83 #11: #b(c(c(x1))) ->? #b(x1) 0.79/0.83 #12: #a(a(c(x1))) -> #b(b(a(x1))) 0.79/0.83 #13: #a(a(c(x1))) -> #b(a(x1)) 0.79/0.83 #14: #a(a(c(x1))) -> #a(x1) 0.79/0.83 #15: #c(b(b(x1))) -> #a(c(a(x1))) 0.79/0.83 #16: #c(b(b(x1))) -> #c(a(x1)) 0.79/0.83 #17: #c(b(b(x1))) -> #a(x1) 0.79/0.83 #18: #b(c(b(x1))) ->? #a(b(b(x1))) 0.79/0.83 #19: #b(c(b(x1))) ->? #b(b(x1)) 0.79/0.83 Number of SCCs: 1, DPs: 19 0.79/0.83 SCC { #1..19 } 0.79/0.83 POLO(Sum)... succeeded. 0.79/0.83 a w: x1 + 1 0.79/0.83 b w: x1 + 1 0.79/0.83 c w: x1 + 1 0.79/0.83 #c w: x1 0.79/0.83 #a w: x1 0.79/0.83 #b w: x1 0.79/0.83 USABLE RULES: { 1..7 } 0.79/0.83 Removed DPs: #2 #3 #5 #7 #8 #10 #11 #13 #14 #16 #17 #19 0.79/0.83 Number of SCCs: 1, DPs: 7 0.79/0.83 SCC { #1 #4 #6 #9 #12 #15 #18 } 0.79/0.83 POLO(Sum)... succeeded. 0.79/0.83 a w: 1 0.79/0.83 b w: x1 0.79/0.83 c w: x1 + 3 0.79/0.83 #c w: x1 + 3 0.79/0.83 #a w: 2 0.79/0.83 #b w: x1 0.79/0.83 USABLE RULES: { 1..7 } 0.79/0.83 Removed DPs: #6 #9 #12 #15 #18 0.79/0.83 Number of SCCs: 1, DPs: 2 0.79/0.83 SCC { #1 #4 } 0.79/0.83 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.79/0.83 a w: [0;0] 0.79/0.83 b w: [1,0;1,0] * x1 0.79/0.83 c w: [1,0;1,0] * x1 + [1;0] 0.79/0.83 #c w: [0;0] 0.79/0.83 #a w: [0,1;0,1] * x1 0.79/0.83 #b w: [0;0] 0.79/0.83 USABLE RULES: { 1..7 } 0.79/0.83 Removed DPs: #1 0.79/0.83 Number of SCCs: 1, DPs: 1 0.79/0.83 SCC { #4 } 0.79/0.83 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.79/0.83 Finding a loop... failed. 0.79/0.83 EOF