YES Input TRS: 1: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) 2: times(X,s(Y)) -> plus(X,times(Y,X)) Number of strict rules: 2 Direct POLO(bPol) ... removes: 2 s w: 2 * x1 + 2 times w: 2 * x1 + x2 + 10451 plus w: x1 + x2 + 1 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #plus(plus(X,Y),Z) -> #plus(X,plus(Y,Z)) #2: #plus(plus(X,Y),Z) -> #plus(Y,Z) Number of SCCs: 1, DPs: 2 SCC { #1 #2 } POLO(Sum)... succeeded. s w: 0 #plus w: x1 times w: 0 plus w: x1 + x2 + 1 USABLE RULES: { } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0