File: test4.elpi

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:functional 
pred p i:int, o:int.

:functional
pred q i:int, o:int.

q 1 1.
      /* the local premise keeps q functional! */
p 1 X :- (pi x\ q 2 x :- x = 4) => q 1 X.

p 2 X :- pi x\ q x 2 => q 1 X.

         /* two new local clauses q x 2 and q y 3 are not overlapping, p is functional! */
p 3 X :- pi x\ q x 2 => pi y\ q y 3 => q 1 X.

main.