summaryrefslogtreecommitdiff
path: root/Test/test2/sk_hack.bpl
blob: 1d902a7493e9e7f5b46a3a595fd39d4375bc9320 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
// RUN: %boogie -noinfer %s > %t
// RUN: %diff %s.expect %t
function in_set(int) returns(bool);
function next(int) returns(int);
function f(int) returns(bool);
function g(int) returns(bool);

// this function is treated specially by Z3 when used in triggers
//    sk_hack(f(x)) means to activate the e-node f(x0) when trying to prove
//    !(forall x : T :: {sk_hack(f(x))} p(x)) by proving !p(x0) 
//    (i.e., after skolemization of x to x0).
function sk_hack(bool) returns(bool);

// PR: sk_hack cannot be defined as a polymorphic function
// when using /quantifierTypePremisses:a, because then it would
// get an additional explicit type parameter, and Z3 would
// no longer recognise it.

procedure foo()
{
  assume (forall x:int :: {in_set(next(x))}
     in_set(x) ==> in_set(next(x)));

  assume (forall x:int :: {in_set(x)}
     in_set(x) ==> f(x));

  assume (forall x:int :: {f(next(x))}
     f(next(x)) ==> g(x));

  assert (forall x:int ::
    { sk_hack(in_set(next(x))) }
    in_set(x) ==> g(x));
  }