0.00/0.04 YES 0.00/0.04 Input TRS: 0.00/0.04 1: rev(nil()) -> nil() 0.00/0.04 2: rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l)) 0.00/0.04 3: rev1(0(),nil()) -> 0() 0.00/0.04 4: rev1(s(x),nil()) -> s(x) 0.00/0.04 5: rev1(x,cons(y,l)) -> rev1(y,l) 0.00/0.04 6: rev2(x,nil()) -> nil() 0.00/0.04 7: rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l))) 0.00/0.04 8: rand(x) ->= x 0.00/0.04 9: rand(x) ->= rand(s(x)) 0.00/0.04 Number of strict rules: 7 0.00/0.04 Direct POLO(bPol) ... failed. 0.00/0.04 Uncurrying rev 0.00/0.04 1: rev^1_nil() -> nil() 0.00/0.04 2: rev^1_cons(x,l) -> cons(rev1(x,l),rev2(x,l)) 0.00/0.04 3: rev1(0(),nil()) -> 0() 0.00/0.04 4: rev1(s(x),nil()) -> s(x) 0.00/0.04 5: rev1(x,cons(y,l)) -> rev1(y,l) 0.00/0.04 6: rev2(x,nil()) -> nil() 0.00/0.04 7: rev2(x,cons(y,l)) -> rev^1_cons(x,rev2(y,l)) 0.00/0.04 8: rand(x) ->= x 0.00/0.04 9: rand(x) ->= rand(s(x)) 0.00/0.04 10: rev(cons(_1,_2)) ->= rev^1_cons(_1,_2) 0.00/0.04 11: rev(nil()) ->= rev^1_nil() 0.00/0.04 Number of strict rules: 7 0.00/0.04 Direct POLO(bPol) ... failed. 0.00/0.04 Dependency Pairs: 0.00/0.04 #1: #rev^1_cons(x,l) -> #rev1(x,l) 0.00/0.04 #2: #rev^1_cons(x,l) -> #rev2(x,l) 0.00/0.04 #3: #rev(nil()) ->? #rev^1_nil() 0.00/0.04 #4: #rev2(x,cons(y,l)) -> #rev^1_cons(x,rev2(y,l)) 0.00/0.04 #5: #rev2(x,cons(y,l)) -> #rev2(y,l) 0.00/0.04 #6: #rev(cons(_1,_2)) ->? #rev^1_cons(_1,_2) 0.00/0.04 #7: #rev1(x,cons(y,l)) -> #rev1(y,l) 0.00/0.04 Number of SCCs: 2, DPs: 4 0.00/0.04 SCC { #7 } 0.00/0.04 POLO(Sum)... succeeded. 0.00/0.04 #rev w: 0 0.00/0.04 s w: 0 0.00/0.04 rev1 w: 1 0.00/0.04 #rev1 w: x2 0.00/0.04 #rev2 w: 0 0.00/0.04 rand w: x1 0.00/0.04 0 w: 1 0.00/0.04 #rev^1_nil w: 0 0.00/0.04 nil w: 1 0.00/0.04 rev w: x1 0.00/0.04 cons w: x2 + 1 0.00/0.04 #rev^1_cons w: 0 0.00/0.04 rev^1_cons w: x2 + 1 0.00/0.04 rev2 w: x2 0.00/0.04 rev^1_nil w: 1 0.00/0.04 Removed DPs: #7 0.00/0.04 Number of SCCs: 1, DPs: 3 0.00/0.04 SCC { #2 #4 #5 } 0.00/0.04 POLO(Sum)... succeeded. 0.00/0.04 #rev w: 0 0.00/0.04 s w: 0 0.00/0.04 rev1 w: 1 0.00/0.04 #rev1 w: 0 0.00/0.04 #rev2 w: x2 0.00/0.04 rand w: x1 0.00/0.04 0 w: 1 0.00/0.04 #rev^1_nil w: 0 0.00/0.04 nil w: 1 0.00/0.04 rev w: x1 0.00/0.04 cons w: x2 + 2 0.00/0.04 #rev^1_cons w: x2 + 1 0.00/0.04 rev^1_cons w: x2 + 2 0.00/0.04 rev2 w: x2 0.00/0.04 rev^1_nil w: 1 0.00/0.04 Removed DPs: #2 #4 #5 0.00/0.04 Number of SCCs: 0, DPs: 0 0.00/0.04 EOF