"{begin

Assume that we need to check the equvalence of the Boolean
functions defined as follows.

ops f g : Bool Bool Bool Bool Bool 
          Bool Bool Bool Bool Bool 
          -> Bool .
vars X0 X1 X2 X3 X4 X5 X6 X7 X8 X9 : Bool .
eq f(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) = 
(X0 or (X9 implies (X6 or (not X2 and X4)))) 
  implies (not X5 or (X8 iff (X7 iff (X1 or X3)))) .
eq g(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) = 
not(not(X7 iff (X8 iff (X1 or X3))) and X0) or
  not(X5 or (X6 or (not X9 or (X4 and not X2)))) .

By making use of GENcases, we can check whether these two
Boolean functions f and g are equal, and if not, show all
argument lists of true and false (e.g. a list like
(false,true,true,false,true,false,false,true,true,true))
that makes the two functions have different values.

end}"

-- a solution

mod! BOOLfun {pr(BOOL)
ops f g : Bool Bool Bool Bool Bool 
          Bool Bool Bool Bool Bool 
          -> Bool .
vars X0 X1 X2 X3 X4 X5 X6 X7 X8 X9 : Bool .
eq f(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) = 
(X0 or (X9 implies (X6 or (not X2 and X4)))) 
  implies (not X5 or (X8 iff (X7 iff (X1 or X3)))) .
eq g(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) = 
not(not(X7 iff (X8 iff (X1 or X3))) and X0) or
  not(X5 or (X6 or (not X9 or (X4 and not X2)))) .
}

in genCases.cafe

-- predicate to be checked
mod! BOOLfunPtbc {
pr(BOOLfun) 
-- val and ValSeq
[Bool < Val < ValSq]
op _,_ : ValSq ValSq -> ValSq {assoc} .
-- predicate to be checked
op v_ : ValSq -> Bool .
vars X0 X1 X2 X3 X4 X5 X6 X7 X8 X9 : Bool .
eq v(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) =
     f(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) iff 
     g(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) .
-- indicator information
[IndInfo]
op ii_ : ValSq -> IndInfo .
}

open GENcases(BOOLfunPtbc) .
-- (1) checking only the equvalence 
ops X0 X1 X2 X3 X4 X5 X6 X7 X8 X9 : -> Bool .
red  f(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) iff 
     g(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) .

-- (2) with the instances that make the differences
op gen&ck : -> IndTr .
eq gen&ck = ($ | mmi[(true;false),(true;false),(true;false),(true;false),
                     (true;false),(true;false),(true;false),(true;false),
                     (true;false),(true;false)]) .
red gen&ck .
close