Input TRS: 1: p(a(x0),p(x1,p(x2,x3))) -> p(x1,p(x0,p(a(x3),x3))) Number of strict rules: 1 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #p(a(x0),p(x1,p(x2,x3))) -> #p(x1,p(x0,p(a(x3),x3))) #2: #p(a(x0),p(x1,p(x2,x3))) -> #p(x0,p(a(x3),x3)) #3: #p(a(x0),p(x1,p(x2,x3))) -> #p(a(x3),x3) Number of SCCs: 1, DPs: 3, edges: 9 SCC { #1..3 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a(x1) weight: x1 #p(x1,x2) weight: x2 p(x1,x2) weight: (/ 1 4) + x2 Usable rules: { 1 } Removed DPs: #2 #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