0.00/0.02 YES 0.00/0.02 Input TRS: 0.00/0.02 AC symbols: + 0.00/0.02 1: +(g(x),g(y)) -> g(+(g(a()),+(x,y))) 0.00/0.02 Number of strict rules: 1 0.00/0.02 Direct POLO(bPol) ... failed. 0.00/0.02 Uncurrying ... failed. 0.00/0.02 Dependency Pairs: 0.00/0.02 #1: #+(x,+(y,z)) ->= #+(+(x,y),z) 0.00/0.02 #2: #+(x,+(y,z)) ->= #+(x,y) 0.00/0.02 #3: #+(g(x),g(y)) -> #+(g(a()),+(x,y)) 0.00/0.02 #4: #+(g(x),g(y)) -> #+(x,y) 0.00/0.02 Number of SCCs: 1, DPs: 4 0.00/0.02 SCC { #1..4 } 0.00/0.02 POLO(Sum)... succeeded. 0.00/0.02 a w: 0 0.00/0.02 + w: x1 + x2 0.00/0.02 g w: x1 + 1 0.00/0.02 #+ w: x1 + x2 0.00/0.02 USABLE RULES: { 1 2 } 0.00/0.02 Removed DPs: #3 #4 0.00/0.02 Number of SCCs: 1, DPs: 2 0.00/0.02 SCC { #1 #2 } 0.00/0.02 only weak rules. 0.00/0.02 Number of SCCs: 0, DPs: 0 0.00/0.02 Next Dependency Pairs: 0.00/0.02 #5: #+(x,+(y,z)) ->= #+(+(x,y),z) 0.00/0.02 #6: #+(x,+(y,z)) ->= #+(x,y) 0.00/0.02 #7: #+(+(g(x),g(y)),_1) -> #+(g(+(g(a()),+(x,y))),_1) 0.00/0.02 Number of SCCs: 1, DPs: 3 0.00/0.02 SCC { #5..7 } 0.00/0.02 POLO(Sum)... succeeded. 0.00/0.02 a w: 1 0.00/0.02 + w: x1 + x2 + 1 0.00/0.02 g w: 1 0.00/0.02 #+ w: x1 + x2 0.00/0.02 USABLE RULES: { 1 2 } 0.00/0.02 Removed DPs: #6 #7 0.00/0.02 Number of SCCs: 1, DPs: 1 0.00/0.02 SCC { #5 } 0.00/0.02 only weak rules. 0.00/0.02 Number of SCCs: 0, DPs: 0 0.00/0.02 EOF