0.00/0.32 YES 0.00/0.32 Input TRS: 0.00/0.32 1: r1(a(x1)) -> a(a(a(r1(x1)))) 0.00/0.32 2: r2(a(x1)) -> a(a(a(r2(x1)))) 0.00/0.32 3: a(l1(x1)) -> l1(a(a(a(x1)))) 0.00/0.32 4: a(a(l2(x1))) -> l2(a(a(x1))) 0.00/0.32 5: r1(b(x1)) -> l1(b(x1)) 0.00/0.32 6: r2(b(x1)) -> l2(a(b(x1))) 0.00/0.32 7: b(l1(x1)) -> b(r2(x1)) 0.00/0.32 8: b(l2(x1)) -> b(r1(x1)) 0.00/0.32 9: a(a(x1)) -> x1 0.00/0.32 Number of strict rules: 9 0.00/0.32 Direct POLO(bPol) ... failed. 0.00/0.32 Uncurrying ... failed. 0.00/0.32 Dependency Pairs: 0.00/0.32 #1: #r2(a(x1)) -> #a(a(a(r2(x1)))) 0.00/0.32 #2: #r2(a(x1)) -> #a(a(r2(x1))) 0.00/0.32 #3: #r2(a(x1)) -> #a(r2(x1)) 0.00/0.32 #4: #r2(a(x1)) -> #r2(x1) 0.00/0.32 #5: #r2(b(x1)) -> #a(b(x1)) 0.00/0.32 #6: #b(l1(x1)) -> #b(r2(x1)) 0.00/0.32 #7: #b(l1(x1)) -> #r2(x1) 0.00/0.32 #8: #a(l1(x1)) -> #a(a(a(x1))) 0.00/0.32 #9: #a(l1(x1)) -> #a(a(x1)) 0.00/0.32 #10: #a(l1(x1)) -> #a(x1) 0.00/0.32 #11: #r1(a(x1)) -> #a(a(a(r1(x1)))) 0.00/0.32 #12: #r1(a(x1)) -> #a(a(r1(x1))) 0.00/0.32 #13: #r1(a(x1)) -> #a(r1(x1)) 0.00/0.32 #14: #r1(a(x1)) -> #r1(x1) 0.00/0.32 #15: #b(l2(x1)) -> #b(r1(x1)) 0.00/0.32 #16: #b(l2(x1)) -> #r1(x1) 0.00/0.32 #17: #a(a(l2(x1))) -> #a(a(x1)) 0.00/0.32 #18: #a(a(l2(x1))) -> #a(x1) 0.00/0.32 Number of SCCs: 4, DPs: 9 0.00/0.32 SCC { #14 } 0.00/0.32 POLO(Sum)... succeeded. 0.00/0.32 a w: x1 + 1 0.00/0.32 b w: 0 0.00/0.32 l1 w: 0 0.00/0.32 l2 w: 0 0.00/0.32 #r1 w: x1 0.00/0.32 r1 w: 0 0.00/0.32 #r2 w: 0 0.00/0.32 #a w: 0 0.00/0.32 r2 w: 0 0.00/0.32 #b w: 0 0.00/0.32 USABLE RULES: { } 0.00/0.32 Removed DPs: #14 0.00/0.32 Number of SCCs: 3, DPs: 8 0.00/0.32 SCC { #4 } 0.00/0.32 POLO(Sum)... succeeded. 0.00/0.32 a w: x1 + 1 0.00/0.32 b w: 0 0.00/0.32 l1 w: 0 0.00/0.32 l2 w: 0 0.00/0.32 #r1 w: 0 0.00/0.32 r1 w: 0 0.00/0.32 #r2 w: x1 0.00/0.32 #a w: 0 0.00/0.32 r2 w: 0 0.00/0.32 #b w: 0 0.00/0.32 USABLE RULES: { } 0.00/0.32 Removed DPs: #4 0.00/0.32 Number of SCCs: 2, DPs: 7 0.00/0.32 SCC { #6 #15 } 0.00/0.32 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.32 a w: [0,1;1,0] * x1 0.00/0.32 b w: [0,0;1,0] * x1 + [1;3] 0.00/0.32 l1 w: [0,1;1,0] * x1 + [2;2] 0.00/0.32 l2 w: [0,1;0,0] * x1 + [3;1] 0.00/0.32 #r1 w: [0;0] 0.00/0.32 r1 w: [0,1;1,0] * x1 + [2;2] 0.00/0.32 #r2 w: [0;0] 0.00/0.32 #a w: [0;0] 0.00/0.32 r2 w: [0,1;1,0] * x1 + [1;1] 0.00/0.32 #b w: [1,0;1,0] * x1 0.00/0.32 USABLE RULES: { 1..9 } 0.00/0.32 Removed DPs: #6 #15 0.00/0.32 Number of SCCs: 1, DPs: 5 0.00/0.32 SCC { #8..10 #17 #18 } 0.00/0.32 POLO(Sum)... succeeded. 0.00/0.32 a w: x1 0.00/0.32 b w: x1 + 1 0.00/0.32 l1 w: x1 + 1 0.00/0.32 l2 w: x1 + 2 0.00/0.32 #r1 w: 0 0.00/0.32 r1 w: 1 0.00/0.32 #r2 w: 0 0.00/0.32 #a w: x1 0.00/0.32 r2 w: 1 0.00/0.32 #b w: 0 0.00/0.32 USABLE RULES: { 3 4 9 } 0.00/0.32 Removed DPs: #8..10 #17 #18 0.00/0.32 Number of SCCs: 0, DPs: 0 0.00/0.32 EOF