Solving ../../benchmarks/smtlib/true/delete_one_insert.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:
{
(leq_elt, P:
{
leq_elt(a, e2) <= True
leq_elt(b, b) <= True
False <= leq_elt(b, a)
}
)
(insert_elt, F:
{
insert_elt(x, enil, econs(x, enil)) <= True
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)
}
eq_elist(_ip, _jp) <= insert_elt(_gp, _hp, _ip) /\ insert_elt(_gp, _hp, _jp)
)
(delete_one_elt, F:
{
delete_one_elt(h, econs(h, t), t) <= True
delete_one_elt(x, enil, enil) <= True
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)
}
eq_elist(_np, _op) <= delete_one_elt(_lp, _mp, _np) /\ delete_one_elt(_lp, _mp, _op)
)
}

properties:
{
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)
}


over-approximation: {delete_one_elt, insert_elt}
under-approximation: {}

Clause system for inference is:

{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}


Solving took 60.961357 seconds.
Maybe:  timeout during learnerLast solver state:

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, econs(a, econs(a, enil)))), econs(a, econs(a, econs(a, enil)))) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, econs(a, econs(a, enil))), econs(b, econs(b, econs(a, econs(a, enil))))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, econs(b, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(b, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, econs(a, enil))), econs(b, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, econs(a, enil))))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, econs(a, econs(a, enil))))) <= insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil))))
False <= insert_elt(b, econs(a, econs(a, enil)), econs(b, enil))
False <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= insert_elt(b, enil, econs(b, econs(b, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_4(x_1_1)
  _r_1(econs(x_0_0, x_0_1), enil) <= _r_2(x_0_0)
  _r_1(enil, econs(x_1_0, x_1_1)) <= _r_2(x_1_0)
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0) /\ _r_3(x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_4(x_1_1)
  _r_1(econs(x_0_0, x_0_1), enil) <= _r_2(x_0_0)
  _r_1(enil, econs(x_1_0, x_1_1)) <= _r_2(x_1_0)
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_4(x_2_1) /\ _r_5(x_1_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1) /\ _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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






-------------------
STEPS:
-------------------------------------------
Step 0, which took 0.005995 s (model generation: 0.005897,  model checking: 0.000098):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{

}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> b  ;  t -> enil
}

delete_one_elt(x, enil, enil) <= True  :
Yes: {
x -> b
}

insert_elt(x, enil, econs(x, enil)) <= True  :
Yes: {
x -> b
}

leq_elt(a, e2) <= True  :
Yes: {
e2 -> b
}

leq_elt(b, b) <= True  :
Yes: {

}

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
No: ()

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 1, which took 0.006658 s (model generation: 0.006542,  model checking: 0.000116):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= True
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> b  ;  t -> econs(_odud_0, _odud_1)
}

delete_one_elt(x, enil, enil) <= True  :
Yes: {
x -> a
}

insert_elt(x, enil, econs(x, enil)) <= True  :
Yes: {
x -> a
}

leq_elt(a, e2) <= True  :
Yes: {
e2 -> a
}

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
No: ()

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
Yes: {
_kp -> enil  ;  h -> a  ;  t -> enil  ;  x -> b
}

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
Yes: {
_fp -> econs(_aeud_0, _aeud_1)  ;  x -> b  ;  y -> a  ;  z -> enil
}

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
Yes: {
x -> b  ;  y -> b
}

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 2, which took 0.010123 s (model generation: 0.010001,  model checking: 0.000122):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
insert_elt(b, econs(a, enil), econs(a, econs(a, enil))) \/ leq_elt(b, a) <= insert_elt(b, enil, econs(a, enil))
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= True
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, a) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> a  ;  t -> enil
}

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_yeud_0, _yeud_1)  ;  _qp -> enil  ;  e -> b  ;  l -> econs(_bfud_0, _bfud_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
Yes: {
_kp -> enil  ;  h -> b  ;  t -> enil  ;  x -> a
}

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
Yes: {
x -> a  ;  y -> b
}

False <= leq_elt(b, a)  :
Yes: {

}


-------------------------------------------
Step 3, which took 0.026689 s (model generation: 0.026541,  model checking: 0.000148):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
insert_elt(b, econs(a, enil), econs(a, econs(a, enil))) <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= True
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_wfud_0, _wfud_1)  ;  _qp -> enil  ;  e -> a  ;  l -> econs(_zfud_0, _zfud_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 4, which took 0.020127 s (model generation: 0.019856,  model checking: 0.000271):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
insert_elt(b, econs(a, enil), econs(a, econs(a, enil))) <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= True
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_yhud_0, _yhud_1)  ;  _qp -> econs(_zhud_0, _zhud_1)  ;  e -> b  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 5, which took 0.018006 s (model generation: 0.017753,  model checking: 0.000253):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_djud_0, _djud_1)  ;  _qp -> econs(_ejud_0, _ejud_1)  ;  e -> a  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
Yes: {
_fp -> econs(b, _fkud_1)  ;  x -> b  ;  y -> a  ;  z -> enil
}

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
Yes: {
x -> a  ;  y -> a
}

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 6, which took 0.038796 s (model generation: 0.038337,  model checking: 0.000459):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> a  ;  t -> econs(a, _rkud_1)
}

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, _rlud_1)  ;  _qp -> econs(_slud_0, _slud_1)  ;  e -> b  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 7, which took 0.037908 s (model generation: 0.037472,  model checking: 0.000436):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), enil) <= True
  _r_1(enil, econs(x_1_0, x_1_1)) <= True
  _r_2(b) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= leq_elt(x_1_0, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), enil) <= True
  _r_1(enil, econs(x_1_0, x_1_1)) <= True
  _r_2(b) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> a  ;  t -> econs(a, econs(_frud_0, _frud_1))
}

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_onud_0, enil)  ;  _qp -> econs(_pnud_0, econs(_jrud_0, _jrud_1))  ;  e -> a  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
Yes: {
_fp -> econs(_qqud_0, econs(_nrud_0, _nrud_1))  ;  x -> b  ;  y -> a  ;  z -> econs(_tqud_0, enil)
}

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
Yes: {
x -> a  ;  y -> a  ;  z -> econs(_orud_0, _orud_1)
}

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 8, which took 0.057661 s (model generation: 0.057199,  model checking: 0.000462):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= leq_elt(x_1_0, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_csud_0, _csud_1)  ;  _qp -> econs(b, _dsud_1)  ;  e -> a  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 9, which took 0.058440 s (model generation: 0.058012,  model checking: 0.000428):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= leq_elt(x_1_0, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, _gwud_1)  ;  _qp -> econs(_hwud_0, _hwud_1)  ;  e -> a  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 10, which took 0.058471 s (model generation: 0.057753,  model checking: 0.000718):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, enil), econs(a, enil)) /\ insert_elt(a, enil, econs(b, enil))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0) /\ _r_1(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= leq_elt(x_1_0, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= True
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, _mavd_1)  ;  _qp -> econs(b, _navd_1)  ;  e -> a  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 11, which took 0.110826 s (model generation: 0.110174,  model checking: 0.000652):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, enil, econs(a, enil))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(_bjvd_0, _bjvd_1))  ;  _qp -> econs(_wgvd_0, _wgvd_1)  ;  e -> b  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 12, which took 0.211360 s (model generation: 0.210794,  model checking: 0.000566):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_jlvd_0, econs(_lnvd_0, _lnvd_1))  ;  _qp -> enil  ;  e -> b  ;  l -> econs(_mlvd_0, _mlvd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 13, which took 0.192909 s (model generation: 0.192429,  model checking: 0.000480):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(a) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_1(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(a) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= True
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, _vpvd_1)  ;  _qp -> enil  ;  e -> b  ;  l -> econs(_ypvd_0, _ypvd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 14, which took 0.215393 s (model generation: 0.214642,  model checking: 0.000751):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(_wvvd_0, _wvvd_1))  ;  _qp -> enil  ;  e -> b  ;  l -> econs(_xtvd_0, _xtvd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 15, which took 0.240729 s (model generation: 0.239979,  model checking: 0.000750):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, _azvd_1)  ;  _qp -> enil  ;  e -> b  ;  l -> econs(b, _dzvd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 16, which took 0.243646 s (model generation: 0.242401,  model checking: 0.001245):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_3(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_ncwd_0, econs(_ehwd_0, _ehwd_1))  ;  _qp -> enil  ;  e -> a  ;  l -> econs(_qcwd_0, _qcwd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 17, which took 0.240138 s (model generation: 0.239528,  model checking: 0.000610):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_3(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(_tlwd_0, _tlwd_1))  ;  _qp -> econs(_liwd_0, _liwd_1)  ;  e -> a  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 18, which took 0.237115 s (model generation: 0.236515,  model checking: 0.000600):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(a) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(a) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_3(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(_jqwd_0, _jqwd_1))  ;  _qp -> econs(_jnwd_0, enil)  ;  e -> b  ;  l -> econs(_lnwd_0, econs(_rqwd_0, _rqwd_1))
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 19, which took 0.252035 s (model generation: 0.251171,  model checking: 0.000864):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(a) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0) /\ _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(b) <= True
  _r_2(a) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(_hxwd_0, _hxwd_1))  ;  _qp -> econs(_lrwd_0, enil)  ;  e -> a  ;  l -> econs(_nrwd_0, econs(_rxwd_0, _rxwd_1))
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
Yes: {
_kp -> enil  ;  h -> a  ;  t -> econs(_evwd_0, enil)  ;  x -> b
}

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 20, which took 0.240880 s (model generation: 0.239955,  model checking: 0.000925):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0) /\ _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0) /\ _r_3(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_3(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(_ffxd_0, _ffxd_1))  ;  _qp -> econs(b, _haxd_1)  ;  e -> b  ;  l -> econs(a, _jaxd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
Yes: {
_kp -> econs(_qbxd_0, _qbxd_1)  ;  h -> a  ;  t -> econs(a, enil)  ;  x -> b
}

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 21, which took 0.283942 s (model generation: 0.282616,  model checking: 0.001326):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0) /\ _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_2(x_1_0) /\ _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0) /\ _r_4(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> b  ;  t -> econs(b, enil)
}

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, enil)  ;  _qp -> econs(_pixd_0, econs(_apxd_0, _apxd_1))  ;  e -> b  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
Yes: {
_kp -> enil  ;  h -> a  ;  t -> econs(b, enil)  ;  x -> b
}

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 22, which took 0.471573 s (model generation: 0.470589,  model checking: 0.000984):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(econs(x_0_0, x_0_1)) <= _r_2(x_0_0)
  _r_4(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(econs(x_0_0, x_0_1)) <= _r_2(x_0_0)
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_3(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(_mwxd_0, _mwxd_1))  ;  _qp -> enil  ;  e -> b  ;  l -> econs(b, _psxd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
Yes: {
_fp -> econs(a, econs(_pwxd_0, _pwxd_1))  ;  x -> b  ;  y -> a  ;  z -> econs(b, _xuxd_1)
}

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 23, which took 0.716501 s (model generation: 0.715475,  model checking: 0.001026):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= _r_2(x_0_0)
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0) /\ _r_3(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= _r_2(x_0_0)
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_2(x_2_0) /\ _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_3(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(_sfyd_0, _sfyd_1))  ;  _qp -> econs(b, _wxxd_1)  ;  e -> a  ;  l -> econs(a, _yxxd_1)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
Yes: {
_fp -> econs(a, enil)  ;  x -> b  ;  y -> a  ;  z -> econs(_ccyd_0, _ccyd_1)
}

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 24, which took 0.529653 s (model generation: 0.527522,  model checking: 0.002131):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(econs(x_0_0, x_0_1)) <= _r_3(x_0_1)
  _r_4(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(econs(x_0_0, x_0_1)) <= True
  _r_4(econs(x_0_0, x_0_1)) <= _r_3(x_0_1)
  _r_4(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_4(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1) /\ _r_4(x_1_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_3(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_1) /\ _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> a  ;  t -> econs(b, _ufyd_1)
}

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(_ruyd_0, _ruyd_1))  ;  _qp -> econs(_shyd_0, enil)  ;  e -> b  ;  l -> econs(b, econs(_bvyd_0, _bvyd_1))
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 25, which took 0.812278 s (model generation: 0.811276,  model checking: 0.001002):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= _r_2(x_0_0)
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= _r_5(x_0_1)
  _r_4(enil) <= True
  _r_5(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= _r_5(x_0_1)
  _r_4(enil) <= True
  _r_5(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_4(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_2_1) /\ _r_5(x_1_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_4(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(_wczd_0, _wczd_1))  ;  _qp -> econs(b, _ayyd_1)  ;  e -> b  ;  l -> econs(a, enil)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 26, which took 0.932969 s (model generation: 0.931950,  model checking: 0.001019):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= True
  _r_1(econs(x_0_0, x_0_1), enil) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_4(x_0_0)
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1) /\ _r_3(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1) /\ _r_5(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= True
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= True
  _r_2(enil, econs(x_1_0, x_1_1)) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_4(x_0_0)
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_3(x_2_0)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_5(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_4(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(_sgzd_0, econs(b, _anzd_1))  ;  _qp -> enil  ;  e -> b  ;  l -> econs(_vgzd_0, enil)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
Yes: {
_fp -> econs(a, econs(b, _xlzd_1))  ;  x -> b  ;  y -> a  ;  z -> econs(_vkzd_0, enil)
}

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 27, which took 1.071386 s (model generation: 1.070502,  model checking: 0.000884):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= _r_4(x_0_0)
  _r_4(b) <= True
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_5(x_1_1) /\ leq_elt(x_1_0, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(b, enil, enil) <= True
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_2(x_0_1, x_1_1)
  _r_2(enil, econs(x_1_0, x_1_1)) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_4(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(_hszd_0, _hszd_1))  ;  _qp -> econs(b, _gozd_1)  ;  e -> a  ;  l -> econs(a, enil)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 28, which took 2.827763 s (model generation: 2.826755,  model checking: 0.001008):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= _r_3(x_0_0)
  _r_3(b) <= True
  _r_4(a) <= True
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_0) /\ _r_4(x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_2(x_0_1, x_1_1)
  _r_2(enil, econs(x_1_0, x_1_1)) <= True
  _r_3(b) <= True
  _r_4(a) <= True
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_4(x_2_0)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_4(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(_vyzd_0, _vyzd_1))  ;  _qp -> econs(a, _svzd_1)  ;  e -> b  ;  l -> econs(b, enil)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 29, which took 1.084801 s (model generation: 1.081363,  model checking: 0.003438):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(enil) <= True
  _r_4(econs(x_0_0, x_0_1)) <= _r_2(x_0_0)
  _r_5(econs(x_0_0, x_0_1)) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_5(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_0) /\ _r_3(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_2(x_1_0) /\ _r_5(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_5(x_1_1) /\ _r_5(x_2_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_2(x_1_0) /\ _r_3(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(a) <= True
  _r_2(b) <= True
  _r_3(enil) <= True
  _r_5(econs(x_0_0, x_0_1)) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_5(x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_1(x_2_0) /\ _r_3(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_5(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_3(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(b, _etae_1))  ;  _qp -> econs(_zbae_0, enil)  ;  e -> a  ;  l -> econs(_bcae_0, econs(_osae_0, _osae_1))
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 30, which took 2.731396 s (model generation: 2.730307,  model checking: 0.001089):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, econs(b, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(b, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= _r_4(x_0_0)
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0) /\ _r_3(x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_2(x_0_1, x_1_1)
  _r_2(enil, econs(x_1_0, x_1_1)) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_3(x_2_0)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_3(x_1_0)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_4(x_2_0)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_4(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(_fdbe_0, _fdbe_1))  ;  _qp -> econs(a, econs(_gdbe_0, _gdbe_1))  ;  e -> b  ;  l -> econs(a, enil)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 31, which took 1.786894 s (model generation: 1.784951,  model checking: 0.001943):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, econs(b, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(b, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
False <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), enil) <= True
  _r_1(enil, econs(x_1_0, x_1_1)) <= True
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_1(x_0_1, x_1_1)
  _r_2(econs(x_0_0, x_0_1), enil) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_4(x_0_0)
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_3(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_5(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_0) /\ _r_5(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), enil) <= True
  _r_1(enil, econs(x_1_0, x_1_1)) <= True
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_1(x_0_1, x_1_1)
  _r_2(econs(x_0_0, x_0_1), enil) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_4(x_0_0)
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_4(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
Yes: {
h -> b  ;  t -> econs(_cebe_0, econs(_bqbe_0, econs(_irbe_0, _irbe_1)))
}

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, enil)  ;  _qp -> enil  ;  e -> b  ;  l -> econs(_uibe_0, econs(_eqbe_0, _eqbe_1))
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
Yes: {
_kp -> enil  ;  h -> b  ;  t -> econs(a, enil)  ;  x -> a
}

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
Yes: {
_fp -> econs(_zobe_0, econs(_hqbe_0, econs(_arbe_0, _arbe_1)))  ;  x -> b  ;  y -> a  ;  z -> econs(_cpbe_0, econs(_gqbe_0, enil))
}

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
Yes: {
x -> b  ;  y -> b  ;  z -> econs(_lqbe_0, econs(_tqbe_0, _tqbe_1))
}

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 32, which took 2.316229 s (model generation: 2.314276,  model checking: 0.001953):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, econs(a, econs(a, enil)))), econs(a, econs(a, econs(a, enil)))) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, econs(a, econs(a, enil))), econs(b, econs(b, econs(a, econs(a, enil))))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, econs(b, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(b, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, econs(a, econs(a, enil))))) <= insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil))))
False <= insert_elt(b, econs(a, econs(a, enil)), econs(b, enil))
False <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_4(x_0_0)
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_3(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_4(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_5(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_4(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= True
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_2(x_0_1, x_1_1)
  _r_2(enil, econs(x_1_0, x_1_1)) <= True
  _r_3(a) <= True
  _r_4(b) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_4(x_0_0)
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_3(x_2_0)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_2(x_1_1, x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_5(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_4(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(a, econs(b, _ogce_1))  ;  _qp -> econs(b, _awbe_1)  ;  e -> b  ;  l -> econs(a, enil)
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 33, which took 24.753063 s (model generation: 24.750927,  model checking: 0.002136):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, econs(a, econs(a, enil)))), econs(a, econs(a, econs(a, enil)))) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, econs(a, econs(a, enil))), econs(b, econs(b, econs(a, econs(a, enil))))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, econs(b, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(b, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, econs(a, econs(a, enil))))) <= insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil))))
False <= insert_elt(b, econs(a, econs(a, enil)), econs(b, enil))
False <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= True
  _r_3(b) <= True
  _r_4(a) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_3(x_0_0)
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_4(x_2_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_5(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_3(x_1_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_4(x_1_0) /\ _r_4(x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_3(x_1_0)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), a) <= True
  _r_1(econs(x_0_0, x_0_1), b) <= True
  _r_2(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_2(x_0_1, x_1_1)
  _r_2(enil, econs(x_1_0, x_1_1)) <= True
  _r_3(b) <= True
  _r_4(a) <= True
  _r_5(econs(x_0_0, x_0_1)) <= _r_3(x_0_0)
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_4(x_2_0)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_4(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_0) /\ _r_2(x_1_1, x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_1, x_2_1) /\ _r_5(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(h, econs(h, t), t) <= True  :
No: ()

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(b, _wvce_1))  ;  _qp -> econs(b, _dkce_1)  ;  e -> b  ;  l -> enil
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


-------------------------------------------
Step 34, which took 17.100704 s (model generation: 17.098978,  model checking: 0.001726):

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, econs(a, econs(a, enil)))), econs(a, econs(a, econs(a, enil)))) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, econs(a, econs(a, enil))), econs(b, econs(b, econs(a, econs(a, enil))))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, econs(b, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(b, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, econs(a, econs(a, enil))))) <= insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil))))
False <= insert_elt(b, econs(a, econs(a, enil)), econs(b, enil))
False <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= insert_elt(b, enil, econs(b, econs(b, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_4(x_1_1)
  _r_1(econs(x_0_0, x_0_1), enil) <= _r_2(x_0_0)
  _r_1(enil, econs(x_1_0, x_1_1)) <= _r_2(x_1_0)
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0) /\ _r_3(x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_4(x_1_1)
  _r_1(econs(x_0_0, x_0_1), enil) <= _r_2(x_0_0)
  _r_1(enil, econs(x_1_0, x_1_1)) <= _r_2(x_1_0)
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_4(x_2_1) /\ _r_5(x_1_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1) /\ _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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




Answer of teacher:

delete_one_elt(x, enil, enil) <= True  :
No: ()

insert_elt(x, enil, econs(x, enil)) <= True  :
No: ()

leq_elt(a, e2) <= True  :
No: ()

leq_elt(b, b) <= True  :
No: ()

eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp)  :
Yes: {
_pp -> econs(b, econs(_cgde_0, econs(_xgde_0, _xgde_1)))  ;  _qp -> econs(b, _cyce_1)  ;  e -> a  ;  l -> econs(a, econs(_bgde_0, _bgde_1))
}

eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp)  :
No: ()

insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp)  :
No: ()

insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y)  :
No: ()

False <= leq_elt(b, a)  :
No: ()


Total time: 60.961357
Learner time: 59.910438
Teacher time: 0.032620
Reasons for stopping: Maybe:  timeout during learnerLast solver state:

Clauses:
{
delete_one_elt(h, econs(h, t), t) <= True -> 0
delete_one_elt(x, enil, enil) <= True -> 0
insert_elt(x, enil, econs(x, enil)) <= True -> 0
leq_elt(a, e2) <= True -> 0
leq_elt(b, b) <= True -> 0
eq_elist(_qp, l) <= delete_one_elt(e, _pp, _qp) /\ insert_elt(e, l, _pp) -> 0
eq_elt(x, h) \/ delete_one_elt(x, econs(h, t), econs(h, _kp)) <= delete_one_elt(x, t, _kp) -> 0
insert_elt(x, econs(y, z), econs(y, _fp)) \/ leq_elt(x, y) <= insert_elt(x, z, _fp) -> 0
insert_elt(x, econs(y, z), econs(x, econs(y, z))) <= leq_elt(x, y) -> 0
False <= leq_elt(b, a) -> 0
}

Accumulated learning constraints:
{
delete_one_elt(a, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, enil))) <= True
delete_one_elt(a, econs(a, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(a, econs(a, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(a, enil), enil) <= True
delete_one_elt(a, econs(b, econs(a, enil)), econs(b, enil)) <= True
delete_one_elt(a, econs(b, enil), econs(b, enil)) <= True
delete_one_elt(a, enil, enil) <= True
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= True
delete_one_elt(b, econs(a, econs(b, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(a, enil), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(a, econs(a, econs(a, enil)))), econs(a, econs(a, econs(a, enil)))) <= True
delete_one_elt(b, econs(b, econs(a, enil)), econs(a, enil)) <= True
delete_one_elt(b, econs(b, econs(b, enil)), econs(b, enil)) <= True
delete_one_elt(b, econs(b, enil), enil) <= True
delete_one_elt(b, enil, enil) <= True
insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil)))) <= True
insert_elt(a, econs(a, enil), econs(a, econs(a, enil))) <= True
insert_elt(a, econs(b, enil), econs(a, econs(b, enil))) <= True
insert_elt(a, enil, econs(a, enil)) <= True
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(b, enil)))) <= True
insert_elt(b, econs(a, enil), econs(a, econs(b, enil))) <= True
insert_elt(b, econs(b, econs(a, econs(a, enil))), econs(b, econs(b, econs(a, econs(a, enil))))) <= True
insert_elt(b, econs(b, enil), econs(b, econs(b, enil))) <= True
insert_elt(b, enil, econs(b, enil)) <= True
leq_elt(a, a) <= True
leq_elt(a, b) <= True
leq_elt(b, b) <= True
False <= delete_one_elt(a, econs(a, econs(a, enil)), econs(b, enil))
False <= delete_one_elt(a, econs(a, econs(a, enil)), enil)
False <= delete_one_elt(a, econs(a, econs(b, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(a, econs(b, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(a, econs(a, enil), econs(a, enil))
False <= delete_one_elt(a, econs(a, enil), econs(b, enil))
False <= delete_one_elt(a, econs(b, econs(a, econs(a, enil))), econs(b, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, econs(a, enil))))
False <= delete_one_elt(a, econs(b, econs(a, enil)), econs(a, enil)) /\ insert_elt(a, econs(a, econs(a, enil)), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, econs(a, enil)), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) /\ insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(a, econs(b, enil)), econs(b, enil))
False <= delete_one_elt(b, econs(a, econs(b, enil)), enil)
delete_one_elt(b, econs(a, econs(a, enil)), econs(a, enil)) <= delete_one_elt(b, econs(a, enil), enil)
False <= delete_one_elt(b, econs(a, enil), enil) /\ insert_elt(b, econs(a, enil), econs(a, enil))
False <= delete_one_elt(b, econs(b, econs(a, enil)), econs(b, enil)) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(a, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, econs(a, enil)), enil) /\ insert_elt(b, econs(b, enil), econs(b, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= delete_one_elt(b, econs(b, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(a, enil))
False <= insert_elt(a, econs(a, enil), econs(b, econs(a, enil)))
False <= insert_elt(a, enil, econs(a, econs(a, enil)))
False <= insert_elt(a, enil, econs(b, enil))
insert_elt(b, econs(a, econs(a, econs(a, enil))), econs(a, econs(a, econs(a, econs(a, enil))))) <= insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, econs(a, enil))))
False <= insert_elt(b, econs(a, econs(a, enil)), econs(b, enil))
False <= insert_elt(b, econs(a, enil), econs(a, econs(a, enil)))
insert_elt(b, econs(a, econs(a, enil)), econs(a, econs(a, enil))) <= insert_elt(b, econs(a, enil), econs(a, enil))
False <= insert_elt(b, econs(a, enil), econs(b, enil))
insert_elt(b, econs(a, econs(b, enil)), econs(a, econs(a, econs(a, enil)))) <= insert_elt(b, econs(b, enil), econs(a, econs(a, enil)))
False <= insert_elt(b, econs(b, enil), econs(b, enil))
False <= insert_elt(b, enil, econs(a, enil))
False <= insert_elt(b, enil, econs(b, econs(a, enil)))
False <= insert_elt(b, enil, econs(b, econs(b, enil)))
False <= leq_elt(b, a)
}

Current best model:
|_
name: None

delete_one_elt ->
[
delete_one_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_4(x_1_1)
  _r_1(econs(x_0_0, x_0_1), enil) <= _r_2(x_0_0)
  _r_1(enil, econs(x_1_0, x_1_1)) <= _r_2(x_1_0)
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  _r_5(enil) <= True
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0)
  delete_one_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_4(x_1_1)
  delete_one_elt(a, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(a, enil, enil) <= True
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_2(x_1_0) /\ _r_4(x_1_1)
  delete_one_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_1_0) /\ _r_3(x_2_0)
  delete_one_elt(b, econs(x_1_0, x_1_1), enil) <= _r_5(x_1_1)
  delete_one_elt(b, enil, enil) <= True
}
]


;
insert_elt ->
[
insert_elt : <elt * elist * elist>
{
  _r_1(econs(x_0_0, x_0_1), econs(x_1_0, x_1_1)) <= _r_4(x_1_1)
  _r_1(econs(x_0_0, x_0_1), enil) <= _r_2(x_0_0)
  _r_1(enil, econs(x_1_0, x_1_1)) <= _r_2(x_1_0)
  _r_2(b) <= True
  _r_3(a) <= True
  _r_4(econs(x_0_0, x_0_1)) <= True
  _r_5(enil) <= True
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1)
  insert_elt(a, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_4(x_2_1) /\ _r_5(x_1_1)
  insert_elt(a, enil, econs(x_2_0, x_2_1)) <= _r_3(x_2_0) /\ _r_5(x_2_1)
  insert_elt(b, econs(x_1_0, x_1_1), econs(x_2_0, x_2_1)) <= _r_1(x_1_1, x_2_1) /\ _r_4(x_2_1)
  insert_elt(b, enil, econs(x_2_0, x_2_1)) <= _r_2(x_2_0) /\ _r_5(x_2_1)
}
]


;
leq_elt ->
[
leq_elt : <elt * elt>
{
  leq_elt(a, a) <= True
  leq_elt(a, b) <= True
  leq_elt(b, b) <= True
}
]



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