Input TRS: 1: g(tt(),x) -> g(h(f(x,x)),s(x)) 2: h(f(0(),y)) -> tt() 3: f(s(x),y) -> f(x,s(y)) Number of strict rules: 3 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #f(s(x),y) -> #f(x,s(y)) #2: #g(tt(),x) -> #g(h(f(x,x)),s(x)) #3: #g(tt(),x) -> #h(f(x,x)) #4: #g(tt(),x) -> #f(x,x) Number of SCCs: 2, DPs: 2, edges: 2 SCC { #1 } Removing DPs: Order(PosReal,>,Sum)... succeeded. h(x1) weight: 0 s(x1) weight: (/ 1 2) + x1 f(x1,x2) weight: 0 0() weight: 0 #h(x1) weight: 0 #f(x1,x2) weight: x1 #g(x1,x2) weight: 0 tt() weight: 0 g(x1,x2) weight: 0 Usable rules: { } Removed DPs: #1 Number of SCCs: 1, DPs: 1, edges: 1 SCC { #2 } 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