Input TRS: 1: p(p(b(a(x0)),x1),p(x2,x3)) -> p(p(b(x2),a(a(b(x1)))),p(x3,x0)) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #p(p(b(a(x0)),x1),p(x2,x3)) -> #p(p(b(x2),a(a(b(x1)))),p(x3,x0)) #2: #p(p(b(a(x0)),x1),p(x2,x3)) -> #p(b(x2),a(a(b(x1)))) #3: #p(p(b(a(x0)),x1),p(x2,x3)) -> #p(x3,x0) Number of SCCs: 1, DPs: 2, edges: 4 SCC { #1 #3 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a(x1) weight: x1 b(x1) weight: x1 #p(x1,x2) weight: x1 + x2 p(x1,x2) weight: (/ 1 4) + x1 + x2 Usable rules: { 1 } Removed DPs: #3 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