Solving ../../benchmarks/false/cons_not_null.smt2...

Inference procedure has parameters:
Ice fuel: 200
Timeout: 60s
Convolution: right


Learning problem is:

env: {
nat -> {s, z}  ;  natlist -> {cons, nil}
}
definition:
{
(not_null, P:
{() -> not_null([cons(x, ll)])
(not_null([nil])) -> BOT}
)
}

properties:
{(not_null([cons(i, l1)])) -> not_null([l1])}


over-approximation: {}
under-approximation: {}

Clause system for inference is:

{
() -> not_null([cons(x, ll)]) -> 0
(not_null([cons(i, l1)])) -> not_null([l1]) -> 0
(not_null([nil])) -> BOT -> 0
}


Solving took 0.041949 seconds.
Disproved
-------------------
STEPS:
-------------------------------------------
Step 0, which took 0.010251 s (model generation: 0.010098,  model checking: 0.000153):

Model:
|_
{
not_null -> 
{{{
Q={},
Q_f={},
Delta=
{

}

Datatype: <natlist>
Convolution form: right
}}}

}
--
Equality automata are defined for: {eq_nat, eq_natlist}
_|

Teacher's answer:
New clause system:
{
() -> not_null([cons(x, ll)]) -> 3
(not_null([cons(i, l1)])) -> not_null([l1]) -> 1
(not_null([nil])) -> BOT -> 1
}
Sat witness: Found: (() -> not_null([cons(x, ll)]), {
ll -> nil  ;  x -> z
})

-------------------------------------------
Step 1, which took 0.010565 s (model generation: 0.010540,  model checking: 0.000025):

Model:
|_
{
not_null -> 
{{{
Q={q_gen_6847, q_gen_6849},
Q_f={q_gen_6847},
Delta=
{
<cons>(q_gen_6849, q_gen_6847) -> q_gen_6847
<nil>() -> q_gen_6847
<z>() -> q_gen_6849
}

Datatype: <natlist>
Convolution form: right
}}}

}
--
Equality automata are defined for: {eq_nat, eq_natlist}
_|

Teacher's answer:
New clause system:
{
() -> not_null([cons(x, ll)]) -> 3
(not_null([cons(i, l1)])) -> not_null([l1]) -> 1
(not_null([nil])) -> BOT -> 4
}
Sat witness: Found: ((not_null([nil])) -> BOT, {

})

-------------------------------------------
Step 2, which took 0.010785 s (model generation: 0.010650,  model checking: 0.000135):

Model:
|_
{
not_null -> 
{{{
Q={q_gen_6847, q_gen_6848, q_gen_6849},
Q_f={q_gen_6847},
Delta=
{
<cons>(q_gen_6849, q_gen_6848) -> q_gen_6847
<nil>() -> q_gen_6848
<z>() -> q_gen_6849
}

Datatype: <natlist>
Convolution form: right
}}}

}
--
Equality automata are defined for: {eq_nat, eq_natlist}
_|

Teacher's answer:
New clause system:
{
() -> not_null([cons(x, ll)]) -> 3
(not_null([cons(i, l1)])) -> not_null([l1]) -> 4
(not_null([nil])) -> BOT -> 4
}
Sat witness: Found: ((not_null([cons(i, l1)])) -> not_null([l1]), {
i -> z  ;  l1 -> nil
})

Total time: 0.041949
Reason for stopping: Disproved