Input TRS: 1: -(x,0()) -> x 2: -(s(x),s(y)) -> -(x,y) 3: quot(0(),s(y)) -> 0() 4: quot(s(x),s(y)) -> s(quot(-(x,y),s(y))) 5: gen() ->= 0() 6: gen() ->= s(gen()) Number of strict rules: 4 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #-(s(x),s(y)) -> #-(x,y) #2: #quot(s(x),s(y)) -> #quot(-(x,y),s(y)) #3: #quot(s(x),s(y)) -> #-(x,y) Number of SCCs: 2, DPs: 2, edges: 2 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