YES Input TRS: 1: minus(0()) -> 0() 2: +(x,0()) -> x 3: +(0(),y) -> y 4: +(minus(1()),1()) -> 0() 5: minus(minus(x)) -> x 6: +(x,minus(y)) -> minus(+(minus(x),y)) 7: +(x,+(y,z)) -> +(+(x,y),z) 8: +(minus(+(x,1())),1()) -> minus(x) Number of strict rules: 8 Direct POLO(bPol) ... removes: 4 8 1 3 5 7 2 1 w: 1 minus w: x1 + 1 0 w: 1 + w: x1 + 2 * x2 + 1 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #+(x,minus(y)) -> #+(minus(x),y) Number of SCCs: 1, DPs: 1 SCC { #1 } POLO(Sum)... succeeded. 1 w: 0 minus w: x1 + 1 0 w: 0 + w: 0 #+ w: x2 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 0, DPs: 0