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