Input TRS: 1: f(tt(),x) -> f(isDouble(x),s(s(x))) 2: isDouble(s(s(x))) -> isDouble(x) 3: isDouble(0()) -> tt() Number of strict rules: 3 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #isDouble(s(s(x))) -> #isDouble(x) #2: #f(tt(),x) -> #f(isDouble(x),s(s(x))) #3: #f(tt(),x) -> #isDouble(x) Number of SCCs: 2, DPs: 2, edges: 2 SCC { #1 } Removing DPs: Order(PosReal,>,Sum)... succeeded. s(x1) weight: (/ 1 4) + x1 f(x1,x2) weight: 0 0() weight: 0 #isDouble(x1) weight: x1 #f(x1,x2) weight: 0 isDouble(x1) weight: 0 tt() weight: 0 Usable rules: { } Removed DPs: #1 Number of SCCs: 1, DPs: 1, edges: 1 SCC { #2 } 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