0.00/0.33 YES 0.00/0.34 Input TRS: 0.00/0.34 1: a(s(x1)) -> s(a(x1)) 0.00/0.34 2: b(a(b(s(x1)))) -> a(b(s(a(x1)))) 0.00/0.34 3: b(a(b(b(x1)))) -> c(s(x1)) 0.00/0.34 4: c(s(x1)) -> a(b(a(b(x1)))) 0.00/0.34 5: a(b(a(a(x1)))) -> b(a(b(a(x1)))) 0.00/0.34 Number of strict rules: 5 0.00/0.34 Direct POLO(bPol) ... failed. 0.00/0.34 Uncurrying c 0.00/0.34 1: a(s(x1)) -> s(a(x1)) 0.00/0.34 2: b(a(b(s(x1)))) -> a(b(s(a(x1)))) 0.00/0.34 3: b(a(b(b(x1)))) -> c^1_s(x1) 0.00/0.34 4: c^1_s(x1) -> a(b(a(b(x1)))) 0.00/0.34 5: a(b(a(a(x1)))) -> b(a(b(a(x1)))) 0.00/0.34 6: c(s(_1)) ->= c^1_s(_1) 0.00/0.34 Number of strict rules: 5 0.00/0.34 Direct POLO(bPol) ... removes: 6 0.00/0.34 a w: x1 0.00/0.34 s w: 2 * x1 + 1 0.00/0.34 b w: x1 0.00/0.34 c w: 2 * x1 0.00/0.34 c^1_s w: x1 0.00/0.34 Number of strict rules: 5 0.00/0.34 Direct POLO(bPol) ... failed. 0.00/0.34 Dependency Pairs: 0.00/0.34 #1: #b(a(b(s(x1)))) -> #a(b(s(a(x1)))) 0.00/0.34 #2: #b(a(b(s(x1)))) -> #b(s(a(x1))) 0.00/0.34 #3: #b(a(b(s(x1)))) -> #a(x1) 0.00/0.34 #4: #a(b(a(a(x1)))) -> #b(a(b(a(x1)))) 0.00/0.34 #5: #a(b(a(a(x1)))) -> #a(b(a(x1))) 0.00/0.34 #6: #a(b(a(a(x1)))) -> #b(a(x1)) 0.00/0.34 #7: #b(a(b(b(x1)))) -> #c^1_s(x1) 0.00/0.34 #8: #a(s(x1)) -> #a(x1) 0.00/0.34 #9: #c^1_s(x1) -> #a(b(a(b(x1)))) 0.00/0.34 #10: #c^1_s(x1) -> #b(a(b(x1))) 0.00/0.34 #11: #c^1_s(x1) -> #a(b(x1)) 0.00/0.34 #12: #c^1_s(x1) -> #b(x1) 0.00/0.34 Number of SCCs: 1, DPs: 10 0.00/0.34 SCC { #3..12 } 0.00/0.34 POLO(Sum)... succeeded. 0.00/0.34 a w: x1 + 1 0.00/0.34 s w: x1 + 1 0.00/0.34 b w: x1 + 1 0.00/0.34 c w: 0 0.00/0.34 #c^1_s w: x1 + 3 0.00/0.34 #a w: x1 0.00/0.34 c^1_s w: x1 + 4 0.00/0.34 #b w: x1 0.00/0.34 USABLE RULES: { 1..5 } 0.00/0.34 Removed DPs: #3 #5 #6 #8 #10..12 0.00/0.34 Number of SCCs: 1, DPs: 3 0.00/0.34 SCC { #4 #7 #9 } 0.00/0.34 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.34 a w: [0,1;0,1] * x1 + [2;3] 0.00/0.34 s w: [0,0;0,1] * x1 + [1;1] 0.00/0.34 b w: [1,0;1,0] * x1 + [3;1] 0.00/0.34 c w: [0;0] 0.00/0.34 #c^1_s w: [1,0;0,0] * x1 + [6;0] 0.00/0.34 #a w: [0,1;0,0] * x1 + [1;0] 0.00/0.34 c^1_s w: [1,0;1,0] * x1 + [6;7] 0.00/0.34 #b w: [0,1;0,0] * x1 0.00/0.34 USABLE RULES: { 1..5 } 0.00/0.34 Removed DPs: #4 #7 #9 0.00/0.34 Number of SCCs: 0, DPs: 0 0.00/0.34 EOF