0.00/0.09 YES 0.00/0.09 Input TRS: 0.00/0.09 1: o(lambda(x),y) -> lambda(o(x,d(1(),o(y,p())))) 0.00/0.09 2: o(d(x,y),z) -> d(o(x,z),o(y,z)) 0.00/0.09 3: o(o(x,y),z) -> o(x,o(y,z)) 0.00/0.09 4: lambda(x) -> x 0.00/0.09 5: o(x,y) -> x 0.00/0.09 6: o(x,y) -> y 0.00/0.09 7: d(x,y) -> x 0.00/0.09 8: d(x,y) -> y 0.00/0.09 9: o(x,y) ->= d(x,y) 0.00/0.09 10: o(x,y) ->= d(y,x) 0.00/0.09 Number of strict rules: 8 0.00/0.09 Direct POLO(bPol) ... failed. 0.00/0.09 Uncurrying ... failed. 0.00/0.09 Dependency Pairs: 0.00/0.09 #1: #o(d(x,y),z) -> #d(o(x,z),o(y,z)) 0.00/0.09 #2: #o(d(x,y),z) -> #o(x,z) 0.00/0.09 #3: #o(d(x,y),z) -> #o(y,z) 0.00/0.09 #4: #o(x,y) ->? #d(x,y) 0.00/0.09 #5: #o(x,y) ->? #d(y,x) 0.00/0.09 #6: #o(o(x,y),z) -> #o(x,o(y,z)) 0.00/0.09 #7: #o(o(x,y),z) -> #o(y,z) 0.00/0.09 #8: #o(lambda(x),y) -> #lambda(o(x,d(1(),o(y,p())))) 0.00/0.09 #9: #o(lambda(x),y) -> #o(x,d(1(),o(y,p()))) 0.00/0.09 #10: #o(lambda(x),y) -> #d(1(),o(y,p())) 0.00/0.09 #11: #o(lambda(x),y) -> #o(y,p()) 0.00/0.09 Number of SCCs: 1, DPs: 6 0.00/0.09 SCC { #2 #3 #6 #7 #9 #11 } 0.00/0.09 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.09 1 w: 0 0.00/0.09 d w: max(x1, x2, 0) 0.00/0.09 #lambda w: max(x1 - 1, 0) 0.00/0.09 lambda w: max(x1 + 2, 0) 0.00/0.09 o w: max(x1 + x2, 0) 0.00/0.09 p w: 0 0.00/0.09 #o w: max(x1 + x2 - 1, 0) 0.00/0.09 #d w: 0 0.00/0.09 USABLE RULES: { 1..10 } 0.00/0.09 Removed DPs: #9 #11 0.00/0.09 Number of SCCs: 1, DPs: 4 0.00/0.09 SCC { #2 #3 #6 #7 } 0.00/0.09 POLO(Sum)... succeeded. 0.00/0.09 1 w: 1 0.00/0.09 d w: x1 + x2 + 1 0.00/0.09 #lambda w: 0 0.00/0.09 lambda w: x1 + 1 0.00/0.09 o w: x1 + x2 + 1 0.00/0.09 p w: 1 0.00/0.09 #o w: x1 0.00/0.09 #d w: 0 0.00/0.09 USABLE RULES: { } 0.00/0.09 Removed DPs: #2 #3 #6 #7 0.00/0.09 Number of SCCs: 0, DPs: 0 0.00/0.09 EOF