Input TRS: 1: g(f(x,y)) -> f(f(g(g(x)),g(g(y))),f(g(g(x)),g(g(y)))) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #g(f(x,y)) -> #g(g(x)) #2: #g(f(x,y)) -> #g(x) #3: #g(f(x,y)) -> #g(g(y)) #4: #g(f(x,y)) -> #g(y) #5: #g(f(x,y)) -> #g(g(x)) #6: #g(f(x,y)) -> #g(x) #7: #g(f(x,y)) -> #g(g(y)) #8: #g(f(x,y)) -> #g(y) Number of SCCs: 1, DPs: 8, edges: 64 SCC { #1..8 } 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