Input TRS: 1: or(true(),y) -> true() 2: or(x,true()) -> true() 3: or(false(),false()) -> false() 4: mem(x,nil()) -> false() 5: mem(x,set(y)) -> =(x,y) 6: mem(x,union(y,z)) -> or(mem(x,y),mem(x,z)) Number of strict rules: 6 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #mem(x,union(y,z)) -> #or(mem(x,y),mem(x,z)) #2: #mem(x,union(y,z)) -> #mem(x,y) #3: #mem(x,union(y,z)) -> #mem(x,z) Number of SCCs: 1, DPs: 2, edges: 4 SCC { #2 #3 } Removing DPs: Order(PosReal,>,Sum)... succeeded. mem(x1,x2) weight: 0 false() weight: 0 #mem(x1,x2) weight: x2 true() weight: 0 =(x1,x2) weight: 0 union(x1,x2) weight: (/ 1 2) + x1 + x2 nil() weight: 0 or(x1,x2) weight: 0 set(x1) weight: 0 #or(x1,x2) weight: 0 Usable rules: { } Removed DPs: #2 #3 Number of SCCs: 0, DPs: 0, edges: 0 YES