5.56/5.54 MAYBE 5.56/5.54 Input TRS: 5.56/5.54 1: c(a(a(b(c(a(x1)))))) -> a(a(b(c(c(a(a(b(c(x1))))))))) 5.56/5.54 Number of strict rules: 1 5.56/5.54 Direct POLO(bPol) ... failed. 5.56/5.54 Uncurrying c 5.56/5.54 1: c^1_a(a(b(c^1_a(x1)))) -> a(a(b(c(c^1_a(a(b(c(x1)))))))) 5.56/5.54 2: c(a(_1)) ->= c^1_a(_1) 5.56/5.54 Number of strict rules: 1 5.56/5.54 Direct POLO(bPol) ... failed. 5.56/5.54 Dependency Pairs: 5.56/5.54 #1: #c(a(_1)) ->? #c^1_a(_1) 5.56/5.54 #2: #c^1_a(a(b(c^1_a(x1)))) -> #c(c^1_a(a(b(c(x1))))) 5.56/5.54 #3: #c^1_a(a(b(c^1_a(x1)))) -> #c^1_a(a(b(c(x1)))) 5.56/5.54 #4: #c^1_a(a(b(c^1_a(x1)))) -> #c(x1) 5.56/5.54 Number of SCCs: 1, DPs: 4 5.56/5.54 SCC { #1..4 } 5.56/5.54 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 5.56/5.54 a w: max(x1 + 4, 0) 5.56/5.54 b w: max(x1 - 11, 0) 5.56/5.54 c^1_a w: max(x1 + 4, 0) 5.56/5.54 c w: max(x1 + 2, 0) 5.56/5.54 #c^1_a w: max(x1 + 8, 0) 5.56/5.54 #c w: max(x1 + 4, 0) 5.56/5.54 USABLE RULES: { 1 2 } 5.56/5.54 Removed DPs: #4 5.56/5.54 Number of SCCs: 1, DPs: 3 5.56/5.54 SCC { #1..3 } 5.56/5.54 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 5.56/5.54 a w: [1,1;0,1] * x1 + [1;1] 5.56/5.54 b w: [0,1;0,0] * x1 + [1;0] 5.56/5.54 c^1_a w: [1,1;0,1] * x1 + [2;1] 5.56/5.54 c w: [1,1;0,1] * x1 + [1;0] 5.56/5.54 #c^1_a w: [1,1;0,0] * x1 + [1;0] 5.56/5.54 #c w: [1,0;0,0] * x1 5.56/5.54 USABLE RULES: { 1 2 } 5.56/5.54 Removed DPs: #3 5.56/5.54 Number of SCCs: 1, DPs: 2 5.56/5.54 SCC { #1 #2 } 5.56/5.54 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 5.56/5.54 Finding a loop... failed. 5.56/5.54 EOF