1.06/1.02 MAYBE 1.06/1.02 Input TRS: 1.06/1.02 1: a(b(b(a(a(b(a(b(a(b(x1)))))))))) -> a(b(a(b(a(b(a(b(b(a(a(b(b(a(x1)))))))))))))) 1.06/1.02 Number of strict rules: 1 1.06/1.02 Direct POLO(bPol) ... failed. 1.06/1.02 Uncurrying a 1.06/1.02 1: a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> a^1_b(a^1_b(a^1_b(a^1_b(b(a(a^1_b(b(a(x1))))))))) 1.06/1.02 2: a(b(_1)) ->= a^1_b(_1) 1.06/1.02 Number of strict rules: 1 1.06/1.02 Direct POLO(bPol) ... failed. 1.06/1.02 Dependency Pairs: 1.06/1.02 #1: #a(b(_1)) ->? #a^1_b(_1) 1.06/1.02 #2: #a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> #a^1_b(a^1_b(a^1_b(a^1_b(b(a(a^1_b(b(a(x1))))))))) 1.06/1.02 #3: #a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> #a^1_b(a^1_b(a^1_b(b(a(a^1_b(b(a(x1)))))))) 1.06/1.02 #4: #a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> #a^1_b(a^1_b(b(a(a^1_b(b(a(x1))))))) 1.06/1.02 #5: #a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> #a^1_b(b(a(a^1_b(b(a(x1)))))) 1.06/1.02 #6: #a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> #a(a^1_b(b(a(x1)))) 1.06/1.02 #7: #a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> #a^1_b(b(a(x1))) 1.06/1.02 #8: #a^1_b(b(a(a^1_b(a^1_b(a^1_b(x1)))))) -> #a(x1) 1.06/1.02 Number of SCCs: 1, DPs: 4 1.06/1.02 SCC { #1 #5 #7 #8 } 1.06/1.02 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 1.06/1.02 a w: max(x1 - 1, 0) 1.06/1.02 b w: max(x1 + 1, 0) 1.06/1.02 #a^1_b w: max(x1 + 2, 0) 1.06/1.02 a^1_b w: max(x1, 0) 1.06/1.02 #a w: max(x1 + 1, 0) 1.06/1.02 USABLE RULES: { 1 2 } 1.06/1.02 Removed DPs: #8 1.06/1.02 Number of SCCs: 1, DPs: 2 1.06/1.02 SCC { #5 #7 } 1.06/1.02 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 1.06/1.02 Finding a loop... failed. 1.06/1.02 EOF