Input TRS: 1: f(a(),f(b(),f(a(),x))) -> f(a(),f(b(),f(b(),f(a(),x)))) 2: f(b(),f(b(),f(b(),x))) -> f(b(),f(b(),x)) Number of strict rules: 2 Direct Order(PosReal,>,Poly) ... failed. Freezing f 1: f❆1_a(f❆1_b(f❆1_a(x))) -> f❆1_a(f❆1_b(f❆1_b(f❆1_a(x)))) 2: f❆1_b(f❆1_b(f❆1_b(x))) -> f❆1_b(f❆1_b(x)) 3: f(a(),_1) ->= f❆1_a(_1) 4: f(b(),_1) ->= f❆1_b(_1) Number of strict rules: 2 Direct Order(PosReal,>,Poly) ... removes: 4 3 a() weight: 0 b() weight: 0 f(x1,x2) weight: (/ 1 8) + x1 + x2 f❆1_b(x1) weight: x1 f❆1_a(x1) weight: (/ 1 16) + x1 Number of strict rules: 2 Direct Order(PosReal,>,Poly) ... failed. Dependency Pairs: #1: #f❆1_a(f❆1_b(f❆1_a(x))) -> #f❆1_a(f❆1_b(f❆1_b(f❆1_a(x)))) #2: #f❆1_a(f❆1_b(f❆1_a(x))) -> #f❆1_b(f❆1_b(f❆1_a(x))) Number of SCCs: 0, DPs: 0, edges: 0 YES