Solving ../../benchmarks/smtlib/false/length_take.smt2...

Inference procedure has parameters:
Ice fuel: 200
Timeout: Some(60.) (sec)
Teacher_type: Checks all clauses every time
Approximation method: remove every clause that can be safely removed



Learning problem is:

env: {
elist -> {econs, enil}  ;  elt -> {a, b}  ;  nat -> {s, z}
}
definition:
{
(take_elt, F:
{
take_elt(s(u), enil, enil) <= True
take_elt(z, y, enil) <= True
take_elt(s(u), econs(x2, x3), econs(x2, _yhb)) <= take_elt(u, x3, _yhb)
}
eq_elist(_bib, _cib) <= take_elt(_zhb, _aib, _bib) /\ take_elt(_zhb, _aib, _cib)
)
(length_elt, F:
{
length_elt(enil, z) <= True
length_elt(econs(x, ll), s(_dib)) <= length_elt(ll, _dib)
}
eq_nat(_fib, _gib) <= length_elt(_eib, _fib) /\ length_elt(_eib, _gib)
)
}

properties:
{
eq_nat(_iib, n) <= length_elt(_hib, _iib) /\ take_elt(n, l, _hib)
}


over-approximation: {length_elt, take_elt}
under-approximation: {}

Clause system for inference is:

{
length_elt(enil, z) <= True -> 0
take_elt(s(u), enil, enil) <= True -> 0
take_elt(z, y, enil) <= True -> 0
eq_nat(_iib, n) <= length_elt(_hib, _iib) /\ take_elt(n, l, _hib) -> 0
length_elt(econs(x, ll), s(_dib)) <= length_elt(ll, _dib) -> 0
take_elt(s(u), econs(x2, x3), econs(x2, _yhb)) <= take_elt(u, x3, _yhb) -> 0
}


Solving took 0.023186 seconds.
No: Contradictory set of ground constraints:
{
False <= True
length_elt(econs(a, enil), s(z)) <= True
length_elt(enil, z) <= True
take_elt(s(z), econs(a, enil), econs(a, enil)) <= True
take_elt(s(z), enil, enil) <= True
take_elt(z, econs(a, enil), enil) <= True
take_elt(z, enil, enil) <= True
}
-------------------
STEPS:
-------------------------------------------
Step 0, which took 0.006481 s (model generation: 0.006414,  model checking: 0.000067):

Clauses:
{
length_elt(enil, z) <= True -> 0
take_elt(s(u), enil, enil) <= True -> 0
take_elt(z, y, enil) <= True -> 0
eq_nat(_iib, n) <= length_elt(_hib, _iib) /\ take_elt(n, l, _hib) -> 0
length_elt(econs(x, ll), s(_dib)) <= length_elt(ll, _dib) -> 0
take_elt(s(u), econs(x2, x3), econs(x2, _yhb)) <= take_elt(u, x3, _yhb) -> 0
}

Accumulated learning constraints:
{

}

Current best model:
|_
name: None

length_elt ->
[
length_elt : <elist * nat>
{
  
}
]


;
take_elt ->
[
take_elt : <nat * elist * elist>
{
  
}
]



--
Equality automata are defined for: {elist, elt, nat}
_|




Answer of teacher:

length_elt(enil, z) <= True  :
Yes: {

}

take_elt(s(u), enil, enil) <= True  :
Yes: {

}

take_elt(z, y, enil) <= True  :
Yes: {
y -> enil
}

eq_nat(_iib, n) <= length_elt(_hib, _iib) /\ take_elt(n, l, _hib)  :
No: ()

length_elt(econs(x, ll), s(_dib)) <= length_elt(ll, _dib)  :
No: ()

take_elt(s(u), econs(x2, x3), econs(x2, _yhb)) <= take_elt(u, x3, _yhb)  :
No: ()


-------------------------------------------
Step 1, which took 0.007279 s (model generation: 0.007150,  model checking: 0.000129):

Clauses:
{
length_elt(enil, z) <= True -> 0
take_elt(s(u), enil, enil) <= True -> 0
take_elt(z, y, enil) <= True -> 0
eq_nat(_iib, n) <= length_elt(_hib, _iib) /\ take_elt(n, l, _hib) -> 0
length_elt(econs(x, ll), s(_dib)) <= length_elt(ll, _dib) -> 0
take_elt(s(u), econs(x2, x3), econs(x2, _yhb)) <= take_elt(u, x3, _yhb) -> 0
}

Accumulated learning constraints:
{
length_elt(enil, z) <= True
take_elt(s(z), enil, enil) <= True
take_elt(z, enil, enil) <= True
}

Current best model:
|_
name: None

length_elt ->
[
length_elt : <elist * nat>
{
  length_elt(enil, z) <= True
}
]


;
take_elt ->
[
take_elt : <nat * elist * elist>
{
  take_elt(s(x_0_0), enil, enil) <= True
  take_elt(z, enil, enil) <= True
}
]



--
Equality automata are defined for: {elist, elt, nat}
_|




Answer of teacher:

length_elt(enil, z) <= True  :
No: ()

take_elt(s(u), enil, enil) <= True  :
No: ()

take_elt(z, y, enil) <= True  :
Yes: {
y -> econs(_dvoqw_0, _dvoqw_1)
}

eq_nat(_iib, n) <= length_elt(_hib, _iib) /\ take_elt(n, l, _hib)  :
Yes: {
_hib -> enil  ;  _iib -> z  ;  l -> enil  ;  n -> s(_hvoqw_0)
}

length_elt(econs(x, ll), s(_dib)) <= length_elt(ll, _dib)  :
Yes: {
_dib -> z  ;  ll -> enil
}

take_elt(s(u), econs(x2, x3), econs(x2, _yhb)) <= take_elt(u, x3, _yhb)  :
Yes: {
_yhb -> enil  ;  u -> z  ;  x3 -> enil
}


Total time: 0.023186
Learner time: 0.013564
Teacher time: 0.000196
Reasons for stopping: No: Contradictory set of ground constraints:
{
False <= True
length_elt(econs(a, enil), s(z)) <= True
length_elt(enil, z) <= True
take_elt(s(z), econs(a, enil), econs(a, enil)) <= True
take_elt(s(z), enil, enil) <= True
take_elt(z, econs(a, enil), enil) <= True
take_elt(z, enil, enil) <= True
}