1.40/1.38 MAYBE 1.40/1.38 Input TRS: 1.40/1.38 1: a(a(b(d(b(d(a(x1))))))) -> a(a(c(a(a(b(d(x1))))))) 1.40/1.38 2: a(a(c(x1))) -> c(c(a(a(x1)))) 1.40/1.38 3: c(c(c(x1))) -> b(d(c(b(d(x1))))) 1.40/1.38 Number of strict rules: 3 1.40/1.38 Direct POLO(bPol) ... failed. 1.40/1.38 Uncurrying ... failed. 1.40/1.38 Dependency Pairs: 1.40/1.38 #1: #a(a(c(x1))) -> #c(c(a(a(x1)))) 1.40/1.38 #2: #a(a(c(x1))) -> #c(a(a(x1))) 1.40/1.38 #3: #a(a(c(x1))) -> #a(a(x1)) 1.40/1.38 #4: #a(a(c(x1))) -> #a(x1) 1.40/1.38 #5: #c(c(c(x1))) -> #c(b(d(x1))) 1.40/1.38 #6: #a(a(b(d(b(d(a(x1))))))) -> #a(a(c(a(a(b(d(x1))))))) 1.40/1.38 #7: #a(a(b(d(b(d(a(x1))))))) -> #a(c(a(a(b(d(x1)))))) 1.40/1.38 #8: #a(a(b(d(b(d(a(x1))))))) -> #c(a(a(b(d(x1))))) 1.40/1.38 #9: #a(a(b(d(b(d(a(x1))))))) -> #a(a(b(d(x1)))) 1.40/1.38 #10: #a(a(b(d(b(d(a(x1))))))) -> #a(b(d(x1))) 1.40/1.38 Number of SCCs: 1, DPs: 4 1.40/1.38 SCC { #3 #4 #6 #9 } 1.40/1.38 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 1.40/1.38 a w: x1 + [3;1] 1.40/1.38 d w: [1,0;1,1] * x1 + [0;1] 1.40/1.38 b w: [1,0;1,0] * x1 1.40/1.38 c w: [0,0;0,1] * x1 1.40/1.38 #c w: [0;0] 1.40/1.38 #a w: [0,1;0,0] * x1 1.40/1.38 USABLE RULES: { 1..3 } 1.40/1.38 Removed DPs: #4 #6 #9 1.40/1.38 Number of SCCs: 1, DPs: 1 1.40/1.38 SCC { #3 } 1.40/1.38 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 1.40/1.38 Finding a loop... failed. 1.40/1.38 EOF