MAYBE
(ignored inputs)COMMENT doi:10.1016/S0747-7171 ( 08 ) 80132-0 cops number: 285 submitted by: Thomas Sternagel , Aart Middeldorp [53] p. 77
Conditional Rewrite Rules:
   [ lte(?x,?z) -> true | lte(?x,?y) == true,lte(?y,?z) == true,
     lte(?x,?x) -> true,
     max(?x,?y) -> ?y | lte(?x,?y) == true,
     max(?x,?y) -> ?x | lte(?x,?y) == false,
     lte(?x,max(?x,?y)) -> true,
     lte(?y,max(?x,?y)) -> true ]
Check whether all rules are type 3
OK
Check whether the input is deterministic
No. non-deterministic rule: lte(?x,?z) -> true | lte(?x,?y) == true,lte(?y,?z) == true
Conditional critical pairs (CCPs):
   [ true = true | lte(?x_1,?y) == true,lte(?y,?x_1) == true,
     true = true | lte(?x_4,?y) == true,lte(?y,max(?x_4,?y_4)) == true,
     true = true | lte(?y_5,?y) == true,lte(?y,max(?x_5,?y_5)) == true,
     true = true | lte(?z,?y) == true,lte(?y,?z) == true,
     ?x_3 = ?y_3 | lte(?x_3,?y_3) == false,lte(?x_3,?y_3) == true,
     ?y_2 = ?x_2 | lte(?x_2,?y_2) == true,lte(?x_2,?y_2) == false,
     true = true | lte(?x,?y) == true,lte(?y,max(?x,?y_4)) == true,
     lte(?x_2,?y_2) = true | lte(?x_2,?y_2) == true,
     lte(?x_3,?x_3) = true | lte(?x_3,?y_3) == false,
     true = true,
     true = true | lte(?x,?y) == true,lte(?y,max(?x_5,?x)) == true,
     lte(?y_2,?y_2) = true | lte(?x_2,?y_2) == true,
     lte(?y_3,?x_3) = true | lte(?x_3,?y_3) == false,
     true = true ]
Check whether the input is almost orthogonale
not almost orthogonal
cops-DvOT4bKG.trs: Failure(unknown CR)
(1 msec.)