YES Input TRS: 1: +(*(x,y),*(x,z)) -> *(x,+(y,z)) 2: +(+(x,y),z) -> +(x,+(y,z)) 3: +(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u()) Number of strict rules: 3 Direct POLO(bPol) ... removes: 1 3 u w: 1 + w: x1 + x2 + 11798 * w: x1 + x2 + 8856 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #+(+(x,y),z) -> #+(x,+(y,z)) #2: #+(+(x,y),z) -> #+(y,z) Number of SCCs: 1, DPs: 2 SCC { #1 #2 } POLO(Sum)... succeeded. u w: 0 + w: x1 + x2 + 1 #+ w: x1 * w: 0 USABLE RULES: { } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0