Input TRS: 1: a(b(a(b(x)))) -> b(a(b(a(a(b(x)))))) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing a 1: a❆1_b(a❆1_b(x)) -> b(a❆1_b(a(a❆1_b(x)))) 2: a(b(_1)) ->= a❆1_b(_1) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Dependency Pairs: #1: #a(b(_1)) ->? #a❆1_b(_1) #2: #a❆1_b(a❆1_b(x)) -> #a❆1_b(a(a❆1_b(x))) #3: #a❆1_b(a❆1_b(x)) -> #a(a❆1_b(x)) Number of SCCs: 1, DPs: 3, edges: 5 SCC { #1..3 } Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed. Removing edges: failed. Finding a loop... failed. MAYBE