Input TRS: 1: active(f(a(),b(),X)) -> mark(f(X,X,X)) 2: active(c()) -> mark(a()) 3: active(c()) -> mark(b()) 4: mark(f(X1,X2,X3)) -> active(f(X1,X2,mark(X3))) 5: mark(a()) -> active(a()) 6: mark(b()) -> active(b()) 7: mark(c()) -> active(c()) 8: f(mark(X1),X2,X3) -> f(X1,X2,X3) 9: f(X1,mark(X2),X3) -> f(X1,X2,X3) 10: f(X1,X2,mark(X3)) -> f(X1,X2,X3) 11: f(active(X1),X2,X3) -> f(X1,X2,X3) 12: f(X1,active(X2),X3) -> f(X1,X2,X3) 13: f(X1,X2,active(X3)) -> f(X1,X2,X3) Number of strict rules: 13 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #active(c()) -> #mark(a()) #2: #mark(b()) -> #active(b()) #3: #f(X1,X2,active(X3)) -> #f(X1,X2,X3) #4: #f(X1,mark(X2),X3) -> #f(X1,X2,X3) #5: #f(active(X1),X2,X3) -> #f(X1,X2,X3) #6: #f(X1,active(X2),X3) -> #f(X1,X2,X3) #7: #mark(c()) -> #active(c()) #8: #f(X1,X2,mark(X3)) -> #f(X1,X2,X3) #9: #mark(a()) -> #active(a()) #10: #active(c()) -> #mark(b()) #11: #active(f(a(),b(),X)) -> #mark(f(X,X,X)) #12: #active(f(a(),b(),X)) -> #f(X,X,X) #13: #f(mark(X1),X2,X3) -> #f(X1,X2,X3) #14: #mark(f(X1,X2,X3)) -> #active(f(X1,X2,mark(X3))) #15: #mark(f(X1,X2,X3)) -> #f(X1,X2,mark(X3)) #16: #mark(f(X1,X2,X3)) -> #mark(X3) Number of SCCs: 2, DPs: 9, edges: 41 SCC { #11 #14 #16 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a() weight: 0 b() weight: 0 c() weight: 0 f(x1,x2,x3) weight: (/ 1 2) + x3 #mark(x1) weight: x1 mark(x1) weight: x1 #f(x1,x2,x3) weight: 0 active(x1) weight: x1 #active(x1) weight: x1 Usable rules: { 1..13 } Removed DPs: #16 Number of SCCs: 2, DPs: 8, edges: 38 SCC { #11 #14 } 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...