0.00/0.03 YES 0.00/0.03 Input TRS: 0.00/0.03 1: average(s(x),y) -> average(x,s(y)) 0.00/0.03 2: average(x,s(s(s(y)))) -> s(average(s(x),y)) 0.00/0.03 3: average(0(),0()) -> 0() 0.00/0.03 4: average(0(),s(0())) -> 0() 0.00/0.03 5: average(0(),s(s(0()))) -> s(0()) 0.00/0.03 6: rand(x) ->= x 0.00/0.03 7: rand(x) ->= rand(s(x)) 0.00/0.03 Number of strict rules: 5 0.00/0.03 Direct POLO(bPol) ... removes: 4 3 5 6 0.00/0.03 s w: x1 0.00/0.03 average w: x1 + x2 + 1 0.00/0.03 rand w: x1 + 1 0.00/0.03 0 w: 1 0.00/0.03 Number of strict rules: 2 0.00/0.03 Direct POLO(bPol) ... failed. 0.00/0.03 Uncurrying ... failed. 0.00/0.03 Dependency Pairs: 0.00/0.03 #1: #average(x,s(s(s(y)))) -> #average(s(x),y) 0.00/0.03 #2: #average(s(x),y) -> #average(x,s(y)) 0.00/0.03 Number of SCCs: 1, DPs: 2 0.00/0.03 SCC { #1 #2 } 0.00/0.03 POLO(Sum)... succeeded. 0.00/0.03 s w: x1 + 1 0.00/0.03 average w: x1 + x2 0.00/0.03 rand w: 0 0.00/0.03 0 w: 0 0.00/0.03 #average w: x1 + x2 0.00/0.03 Removed DPs: #1 0.00/0.03 Number of SCCs: 1, DPs: 1 0.00/0.03 SCC { #2 } 0.00/0.03 POLO(Sum)... succeeded. 0.00/0.03 s w: x1 + 1 0.00/0.03 average w: x1 + x2 0.00/0.03 rand w: 0 0.00/0.03 0 w: 0 0.00/0.03 #average w: x1 0.00/0.03 Removed DPs: #2 0.00/0.03 Number of SCCs: 0, DPs: 0 0.00/0.03 EOF