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

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


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 0.060515 seconds.
Disproved
-------------------
STEPS:
-------------------------------------------
Step 0, which took 0.014374 s (model generation: 0.014227,  model checking: 0.000147):

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

}

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

}
--
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 0.015133 s (model generation: 0.015110,  model checking: 0.000023):

Model:
|_
{
not_null -> 
{{{
Q={q_gen_8638, q_gen_8640},
Q_f={q_gen_8638},
Delta=
{
<cons>(q_gen_8640, q_gen_8638) -> q_gen_8638
<nil>() -> q_gen_8638
<z>() -> q_gen_8640
}

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

}
--
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 0.015882 s (model generation: 0.015750,  model checking: 0.000132):

Model:
|_
{
not_null -> 
{{{
Q={q_gen_8638, q_gen_8639, q_gen_8640},
Q_f={q_gen_8638},
Delta=
{
<cons>(q_gen_8640, q_gen_8639) -> q_gen_8638
<nil>() -> q_gen_8639
<z>() -> q_gen_8640
}

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

}
--
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: 0.060515
Reason for stopping: Disproved