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


Learning problem is:

env: {
elt -> {a, b}  ;  eltlist -> {cons, nil}  ;  nat -> {s, z}
}
definition:
{
(drop, F:
{() -> drop([s(u), nil, nil])
() -> drop([z, l, l])
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca])}
(drop([_oca, _pca, _qca]) /\ drop([_oca, _pca, _rca])) -> eq_eltlist([_qca, _rca])
)
}

properties:
{(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca])}


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

Clause system for inference is:

{
() -> drop([s(u), nil, nil]) -> 0
() -> drop([z, l, l]) -> 0
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 0
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 0
}


Solving took 912.478062 seconds.
DontKnow. Stopped because: timeout
Working model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7750, q_gen_7751, q_gen_7752, q_gen_7753, q_gen_7754, q_gen_7755, q_gen_7756, q_gen_7757, q_gen_7758, q_gen_7759, q_gen_7760, q_gen_7761, q_gen_7762, q_gen_7763, q_gen_7764, q_gen_7765, q_gen_7766, q_gen_7767, q_gen_7768, q_gen_7769, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7774, q_gen_7775, q_gen_7776, q_gen_7777, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7781, q_gen_7782, q_gen_7783, q_gen_7784, q_gen_7785, q_gen_7786, q_gen_7787, q_gen_7788, q_gen_7789, q_gen_7790, q_gen_7791, q_gen_7792, q_gen_7793, q_gen_7794, q_gen_7795, q_gen_7796, q_gen_7797, q_gen_7798, q_gen_7799, q_gen_7800, q_gen_7801, q_gen_7802, q_gen_7803, q_gen_7804, q_gen_7805, q_gen_7806, q_gen_7807, q_gen_7808, q_gen_7809, q_gen_7810, q_gen_7811, q_gen_7812, q_gen_7813, q_gen_7814, q_gen_7815, q_gen_7816, q_gen_7817, q_gen_7818, q_gen_7819, q_gen_7820, q_gen_7821, q_gen_7822, q_gen_7823, q_gen_7824, q_gen_7825, q_gen_7826, q_gen_7827, q_gen_7828, q_gen_7829, q_gen_7830, q_gen_7831, q_gen_7832, q_gen_7833, q_gen_7834, q_gen_7835, q_gen_7836, q_gen_7837, q_gen_7838, q_gen_7839, q_gen_7840, q_gen_7841, q_gen_7842, q_gen_7843, q_gen_7844, q_gen_7845, q_gen_7846, q_gen_7847, q_gen_7848, q_gen_7849, q_gen_7850, q_gen_7851, q_gen_7852, q_gen_7853, q_gen_7854, q_gen_7855, q_gen_7856, q_gen_7857, q_gen_7858, q_gen_7859, q_gen_7860, q_gen_7861, q_gen_7862, q_gen_7863, q_gen_7864, q_gen_7865, q_gen_7866, q_gen_7867, q_gen_7868, q_gen_7869, q_gen_7870, q_gen_7871, q_gen_7872, q_gen_7873, q_gen_7874, q_gen_7875, q_gen_7876, q_gen_7877},
Q_f={},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s>(q_gen_7759) -> q_gen_7805
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7851
<s>(q_gen_7805) -> q_gen_7876
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<z, a>() -> q_gen_7761
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, b>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7751) -> q_gen_7768
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7795
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7799
<s, a>(q_gen_7759) -> q_gen_7809
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7812
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7814
<s, b>(q_gen_7759) -> q_gen_7818
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7821
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7823
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7832
<cons, cons>(q_gen_7764, q_gen_7821) -> q_gen_7837
<cons, cons>(q_gen_7764, q_gen_7799) -> q_gen_7842
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7844
<cons, cons>(q_gen_7757, q_gen_7795) -> q_gen_7846
<s, a>(q_gen_7805) -> q_gen_7848
<cons, nil>(q_gen_7771, q_gen_7851) -> q_gen_7850
<cons, cons>(q_gen_7757, q_gen_7821) -> q_gen_7854
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7857
<cons, cons>(q_gen_7764, q_gen_7832) -> q_gen_7860
<s, b>(q_gen_7805) -> q_gen_7869
<cons, cons>(q_gen_7764, q_gen_7812) -> q_gen_7873
<z, nil, nil>() -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7750
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7752
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7755
<s, nil, nil>(q_gen_7759) -> q_gen_7758
<s, cons, nil>(q_gen_7761, q_gen_7753) -> q_gen_7760
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7762
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7765
<s, cons, nil>(q_gen_7768, q_gen_7753) -> q_gen_7767
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7769
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7774
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7776
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7777
<z, b, a>() -> q_gen_7780
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7781
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7782
<s, cons, cons>(q_gen_7784, q_gen_7778) -> q_gen_7783
<z, a, a>() -> q_gen_7784
<s, cons, cons>(q_gen_7786, q_gen_7770) -> q_gen_7785
<z, a, b>() -> q_gen_7786
<s, cons, cons>(q_gen_7786, q_gen_7778) -> q_gen_7787
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7788
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7792
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7793
<z, cons, cons>(q_gen_7757, q_gen_7795) -> q_gen_7794
<s, cons, nil>(q_gen_7761, q_gen_7790) -> q_gen_7796
<s, cons, cons>(q_gen_7784, q_gen_7763) -> q_gen_7797
<s, cons, cons>(q_gen_7791, q_gen_7799) -> q_gen_7798
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7800
<s, cons, cons>(q_gen_7780, q_gen_7799) -> q_gen_7801
<s, cons, cons>(q_gen_7803, q_gen_7789) -> q_gen_7802
<s, a, a>(q_gen_7759) -> q_gen_7803
<s, nil, nil>(q_gen_7805) -> q_gen_7804
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7806
<s, cons, cons>(q_gen_7786, q_gen_7789) -> q_gen_7807
<s, cons, nil>(q_gen_7809, q_gen_7753) -> q_gen_7808
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7810
<s, cons, cons>(q_gen_7780, q_gen_7812) -> q_gen_7811
<s, cons, cons>(q_gen_7791, q_gen_7814) -> q_gen_7813
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7815
<s, cons, cons>(q_gen_7803, q_gen_7770) -> q_gen_7816
<s, cons, nil>(q_gen_7818, q_gen_7753) -> q_gen_7817
<s, cons, cons>(q_gen_7803, q_gen_7812) -> q_gen_7819
<z, cons, cons>(q_gen_7757, q_gen_7821) -> q_gen_7820
<z, cons, cons>(q_gen_7757, q_gen_7823) -> q_gen_7822
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7824
<s, cons, nil>(q_gen_7818, q_gen_7790) -> q_gen_7825
<s, cons, cons>(q_gen_7786, q_gen_7823) -> q_gen_7826
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7827
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7828
<s, cons, nil>(q_gen_7809, q_gen_7790) -> q_gen_7829
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7830
<s, cons, cons>(q_gen_7834, q_gen_7832) -> q_gen_7831
<s, b, a>(q_gen_7759) -> q_gen_7834
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7835
<z, cons, cons>(q_gen_7757, q_gen_7837) -> q_gen_7836
<s, cons, cons>(q_gen_7834, q_gen_7778) -> q_gen_7838
<s, cons, cons>(q_gen_7840, q_gen_7789) -> q_gen_7839
<s, b, a>(q_gen_7805) -> q_gen_7840
<s, cons, cons>(q_gen_7803, q_gen_7842) -> q_gen_7841
<s, cons, cons>(q_gen_7791, q_gen_7844) -> q_gen_7843
<z, cons, cons>(q_gen_7757, q_gen_7846) -> q_gen_7845
<s, cons, nil>(q_gen_7848, q_gen_7833) -> q_gen_7847
<s, cons, cons>(q_gen_7852, q_gen_7850) -> q_gen_7849
<s, a, a>(q_gen_7805) -> q_gen_7852
<s, cons, cons>(q_gen_7834, q_gen_7854) -> q_gen_7853
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7855
<s, cons, cons>(q_gen_7786, q_gen_7857) -> q_gen_7856
<z, cons, cons>(q_gen_7764, q_gen_7821) -> q_gen_7858
<s, cons, cons>(q_gen_7861, q_gen_7860) -> q_gen_7859
<s, b, a>(q_gen_7751) -> q_gen_7861
<s, cons, cons>(q_gen_7786, q_gen_7832) -> q_gen_7862
<s, cons, cons>(q_gen_7784, q_gen_7844) -> q_gen_7863
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7864
<s, cons, cons>(q_gen_7861, q_gen_7789) -> q_gen_7865
<s, cons, nil>(q_gen_7818, q_gen_7851) -> q_gen_7866
<s, cons, nil>(q_gen_7818, q_gen_7833) -> q_gen_7867
<s, cons, nil>(q_gen_7869, q_gen_7851) -> q_gen_7868
<s, cons, cons>(q_gen_7852, q_gen_7778) -> q_gen_7870
<z, cons, cons>(q_gen_7764, q_gen_7795) -> q_gen_7871
<s, cons, cons>(q_gen_7803, q_gen_7873) -> q_gen_7872
<s, cons, nil>(q_gen_7768, q_gen_7833) -> q_gen_7874
<s, nil, nil>(q_gen_7876) -> q_gen_7875
<s, cons, nil>(q_gen_7869, q_gen_7833) -> q_gen_7877
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

-------------------
STEPS:
-------------------------------------------
Step 0, which took 0.007922 s (model generation: 0.007417,  model checking: 0.000505):

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

}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 0
() -> drop([z, l, l]) -> 3
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 1
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 1
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> nil
})

-------------------------------------------
Step 1, which took 0.007534 s (model generation: 0.007357,  model checking: 0.000177):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749},
Q_f={q_gen_7749},
Delta=
{
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 3
() -> drop([z, l, l]) -> 3
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 1
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 1
}
Sat witness: Found: (() -> drop([s(u), nil, nil]), {
u -> z
})

-------------------------------------------
Step 2, which took 0.007966 s (model generation: 0.007751,  model checking: 0.000215):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 3
() -> drop([z, l, l]) -> 3
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 1
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 4
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> z  ;  x2 -> b  ;  x3 -> nil
})

-------------------------------------------
Step 3, which took 0.013508 s (model generation: 0.012041,  model checking: 0.001467):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<z, b>() -> q_gen_7754
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 3
() -> drop([z, l, l]) -> 6
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 2
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 4
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, nil)
})

-------------------------------------------
Step 4, which took 0.016480 s (model generation: 0.010091,  model checking: 0.006389):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 6
() -> drop([z, l, l]) -> 6
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 3
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 4
}
Sat witness: Found: (() -> drop([s(u), nil, nil]), {
u -> s(z)
})

-------------------------------------------
Step 5, which took 0.009172 s (model generation: 0.008148,  model checking: 0.001024):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 6
() -> drop([z, l, l]) -> 6
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 4
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 7
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> z  ;  x2 -> a  ;  x3 -> nil
})

-------------------------------------------
Step 6, which took 0.009037 s (model generation: 0.008636,  model checking: 0.000401):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 6
() -> drop([z, l, l]) -> 9
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 5
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 7
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 7, which took 0.015519 s (model generation: 0.013422,  model checking: 0.002097):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 7
() -> drop([z, l, l]) -> 9
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 6
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 10
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> nil
})

-------------------------------------------
Step 8, which took 0.013055 s (model generation: 0.011505,  model checking: 0.001550):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 8
() -> drop([z, l, l]) -> 10
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 7
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 13
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(z)  ;  x2 -> a  ;  x3 -> nil
})

-------------------------------------------
Step 9, which took 0.012822 s (model generation: 0.011098,  model checking: 0.001724):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 9
() -> drop([z, l, l]) -> 11
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 8
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 16
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(b, nil)  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(b, nil)
})

-------------------------------------------
Step 10, which took 0.011572 s (model generation: 0.011164,  model checking: 0.000408):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7771, q_gen_7772},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, b>() -> q_gen_7772
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 9
() -> drop([z, l, l]) -> 11
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 11
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 16
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(b, nil)  ;  _tca -> nil  ;  l1 -> nil  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 11, which took 0.020116 s (model generation: 0.017499,  model checking: 0.002617):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7763, q_gen_7771, q_gen_7772, q_gen_7773},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 10
() -> drop([z, l, l]) -> 11
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 14
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 16
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(b, cons(b, nil))  ;  _tca -> cons(b, nil)  ;  l1 -> cons(b, nil)  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 12, which took 0.015133 s (model generation: 0.012644,  model checking: 0.002489):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 11
() -> drop([z, l, l]) -> 12
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 15
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 19
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, nil)  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 13, which took 0.015565 s (model generation: 0.013969,  model checking: 0.001596):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<a>() -> q_gen_7771
<b>() -> q_gen_7771
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, a>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 12
() -> drop([z, l, l]) -> 13
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 18
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 19
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(b, nil)  ;  _tca -> cons(a, nil)  ;  l1 -> cons(a, nil)  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 14, which took 0.015847 s (model generation: 0.014904,  model checking: 0.000943):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7763, q_gen_7764, q_gen_7771, q_gen_7772, q_gen_7773},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<a>() -> q_gen_7771
<b>() -> q_gen_7771
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, a>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7773
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 13
() -> drop([z, l, l]) -> 16
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 18
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 19
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(a, nil)
})

-------------------------------------------
Step 15, which took 0.016354 s (model generation: 0.014384,  model checking: 0.001970):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 14
() -> drop([z, l, l]) -> 17
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 21
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 19
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> nil  ;  l1 -> nil  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 16, which took 0.017758 s (model generation: 0.015748,  model checking: 0.002010):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 15
() -> drop([z, l, l]) -> 18
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 21
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 22
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, nil)  ;  u -> z  ;  x2 -> a  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 17, which took 0.021155 s (model generation: 0.016330,  model checking: 0.004825):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 16
() -> drop([z, l, l]) -> 19
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 22
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 25
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(b, nil)  ;  u -> z  ;  x2 -> a  ;  x3 -> cons(b, nil)
})

-------------------------------------------
Step 18, which took 0.023007 s (model generation: 0.017775,  model checking: 0.005232):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, a, b>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 17
() -> drop([z, l, l]) -> 20
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 25
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 25
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(b, nil)  ;  _tca -> cons(a, nil)  ;  l1 -> cons(a, nil)  ;  n -> z  ;  x -> a
})

-------------------------------------------
Step 19, which took 0.022307 s (model generation: 0.019310,  model checking: 0.002997):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 18
() -> drop([z, l, l]) -> 21
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 25
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 28
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, nil)  ;  u -> s(z)  ;  x2 -> a  ;  x3 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 20, which took 0.023068 s (model generation: 0.020730,  model checking: 0.002338):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7753
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7751) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 19
() -> drop([z, l, l]) -> 22
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 28
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 28
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> nil  ;  _tca -> cons(a, nil)  ;  l1 -> cons(a, nil)  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 21, which took 0.024989 s (model generation: 0.022887,  model checking: 0.002102):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7751) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 20
() -> drop([z, l, l]) -> 23
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 28
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 31
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 22, which took 0.024046 s (model generation: 0.022739,  model checking: 0.001307):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7761, q_gen_7763, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7761
<s, b>(q_gen_7751) -> q_gen_7761
<z, a>() -> q_gen_7761
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7761, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7761, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7751) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 21
() -> drop([z, l, l]) -> 26
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 28
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 31
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 23, which took 0.028111 s (model generation: 0.024952,  model checking: 0.003159):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7761, q_gen_7763, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7761
<s, b>(q_gen_7751) -> q_gen_7761
<z, a>() -> q_gen_7761
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7761, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7761, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7751) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 22
() -> drop([z, l, l]) -> 27
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 31
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 31
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> nil  ;  _tca -> cons(a, nil)  ;  l1 -> cons(a, nil)  ;  n -> z  ;  x -> a
})

-------------------------------------------
Step 24, which took 0.028752 s (model generation: 0.025712,  model checking: 0.003040):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7763
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7751) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 23
() -> drop([z, l, l]) -> 28
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 31
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 34
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, cons(a, nil))  ;  u -> s(z)  ;  x2 -> a  ;  x3 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 25, which took 0.036569 s (model generation: 0.031913,  model checking: 0.004656):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7763
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 24
() -> drop([z, l, l]) -> 29
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 34
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 34
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> nil  ;  l1 -> cons(b, nil)  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 26, which took 0.036602 s (model generation: 0.033601,  model checking: 0.003001):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 25
() -> drop([z, l, l]) -> 30
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 34
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 37
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, cons(a, nil))  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 27, which took 0.039822 s (model generation: 0.035825,  model checking: 0.003997):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7751) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7763
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 26
() -> drop([z, l, l]) -> 31
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 37
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 37
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> nil  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 28, which took 0.038188 s (model generation: 0.037306,  model checking: 0.000882):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7763
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 29
() -> drop([z, l, l]) -> 31
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 37
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 37
}
Sat witness: Found: (() -> drop([s(u), nil, nil]), {
u -> s(s(z))
})

-------------------------------------------
Step 29, which took 0.042740 s (model generation: 0.040163,  model checking: 0.002577):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7763
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 30
() -> drop([z, l, l]) -> 32
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 37
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 40
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(b, nil)  ;  u -> z  ;  x2 -> a  ;  x3 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 30, which took 0.049435 s (model generation: 0.045194,  model checking: 0.004241):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 31
() -> drop([z, l, l]) -> 33
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 40
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 40
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, cons(a, nil))  ;  _tca -> cons(a, nil)  ;  l1 -> cons(a, cons(a, nil))  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 31, which took 0.053320 s (model generation: 0.047282,  model checking: 0.006038):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 32
() -> drop([z, l, l]) -> 34
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 40
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 43
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(z))  ;  x2 -> a  ;  x3 -> nil
})

-------------------------------------------
Step 32, which took 0.052353 s (model generation: 0.046992,  model checking: 0.005361):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 33
() -> drop([z, l, l]) -> 35
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 43
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 43
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> nil  ;  l1 -> nil  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 33, which took 0.054729 s (model generation: 0.050028,  model checking: 0.004701):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7784, q_gen_7790},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7784, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7784
<z, a, a>() -> q_gen_7784
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 34
() -> drop([z, l, l]) -> 36
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 43
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 46
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, cons(b, nil))  ;  u -> s(z)  ;  x2 -> a  ;  x3 -> cons(b, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 34, which took 0.062634 s (model generation: 0.061123,  model checking: 0.001511):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 35
() -> drop([z, l, l]) -> 39
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 43
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 46
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 35, which took 0.076157 s (model generation: 0.068454,  model checking: 0.007703):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 36
() -> drop([z, l, l]) -> 40
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 46
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 46
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> nil  ;  l1 -> cons(b, nil)  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 36, which took 0.074255 s (model generation: 0.065138,  model checking: 0.009117):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 37
() -> drop([z, l, l]) -> 41
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 46
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 49
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> nil
})

-------------------------------------------
Step 37, which took 0.075712 s (model generation: 0.069237,  model checking: 0.006475):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7759) -> q_gen_7754
<s, b>(q_gen_7759) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 38
() -> drop([z, l, l]) -> 42
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 49
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 49
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, cons(b, nil))  ;  _tca -> nil  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 38, which took 0.082917 s (model generation: 0.081177,  model checking: 0.001740):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7759) -> q_gen_7754
<s, b>(q_gen_7759) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 39
() -> drop([z, l, l]) -> 45
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 49
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 49
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 39, which took 0.089148 s (model generation: 0.086939,  model checking: 0.002209):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, b>(q_gen_7759) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 40
() -> drop([z, l, l]) -> 48
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 49
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 49
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(a, cons(a, nil)))
})

-------------------------------------------
Step 40, which took 0.090976 s (model generation: 0.089592,  model checking: 0.001384):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, b>(q_gen_7759) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 41
() -> drop([z, l, l]) -> 51
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 49
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 49
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 41, which took 0.099221 s (model generation: 0.086093,  model checking: 0.013128):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, b>(q_gen_7759) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 42
() -> drop([z, l, l]) -> 51
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 49
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 52
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 42, which took 0.100405 s (model generation: 0.089269,  model checking: 0.011136):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7759) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 43
() -> drop([z, l, l]) -> 51
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 52
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 52
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(b, cons(a, cons(a, nil)))  ;  _tca -> cons(a, nil)  ;  l1 -> cons(a, cons(a, nil))  ;  n -> z  ;  x -> a
})

-------------------------------------------
Step 43, which took 0.100229 s (model generation: 0.098874,  model checking: 0.001355):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 44
() -> drop([z, l, l]) -> 54
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 52
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 52
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 44, which took 0.113414 s (model generation: 0.107927,  model checking: 0.005487):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7784, q_gen_7790, q_gen_7803},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7759) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7784, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7784
<z, a, a>() -> q_gen_7784
<s, a, a>(q_gen_7759) -> q_gen_7803
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 45
() -> drop([z, l, l]) -> 54
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 52
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 55
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(z))  ;  x2 -> a  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 45, which took 0.113046 s (model generation: 0.106576,  model checking: 0.006470):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7784, q_gen_7790, q_gen_7803},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7784, q_gen_7778) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7784
<z, a, a>() -> q_gen_7784
<s, a, a>(q_gen_7759) -> q_gen_7803
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 46
() -> drop([z, l, l]) -> 54
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 55
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 55
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> nil  ;  l1 -> cons(a, nil)  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 46, which took 0.126140 s (model generation: 0.111331,  model checking: 0.014809):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 47
() -> drop([z, l, l]) -> 55
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 55
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 58
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, nil)  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 47, which took 0.127835 s (model generation: 0.120764,  model checking: 0.007071):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7753
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 48
() -> drop([z, l, l]) -> 55
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 58
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 58
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> nil  ;  _tca -> cons(b, cons(a, nil))  ;  l1 -> cons(b, cons(a, nil))  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 48, which took 0.126737 s (model generation: 0.124655,  model checking: 0.002082):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 49
() -> drop([z, l, l]) -> 58
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 58
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 58
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(a, cons(b, cons(a, nil))))
})

-------------------------------------------
Step 49, which took 0.141915 s (model generation: 0.131344,  model checking: 0.010571):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7789) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 50
() -> drop([z, l, l]) -> 58
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 58
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 61
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, nil)  ;  u -> s(s(s(z)))  ;  x2 -> b  ;  x3 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 50, which took 0.190400 s (model generation: 0.167528,  model checking: 0.022872):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7759) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 51
() -> drop([z, l, l]) -> 58
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 61
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 61
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, cons(a, cons(a, nil)))  ;  _tca -> cons(a, nil)  ;  l1 -> cons(a, cons(a, cons(a, nil)))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 51, which took 0.199245 s (model generation: 0.197755,  model checking: 0.001490):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 52
() -> drop([z, l, l]) -> 61
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 61
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 61
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(b, cons(b, cons(b, nil))))
})

-------------------------------------------
Step 52, which took 0.225994 s (model generation: 0.216178,  model checking: 0.009816):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 53
() -> drop([z, l, l]) -> 61
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 61
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 64
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(s(z)))  ;  x2 -> a  ;  x3 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 53, which took 0.242930 s (model generation: 0.233019,  model checking: 0.009911):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 54
() -> drop([z, l, l]) -> 61
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 64
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 64
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> cons(a, cons(b, cons(b, cons(a, nil))))  ;  l1 -> cons(b, cons(b, cons(b, cons(a, nil))))  ;  n -> s(s(s(z)))  ;  x -> a
})

-------------------------------------------
Step 54, which took 0.242883 s (model generation: 0.234966,  model checking: 0.007917):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791, q_gen_7803},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s, a>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7803, q_gen_7756) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, a, a>(q_gen_7759) -> q_gen_7803
<s, b, a>(q_gen_7759) -> q_gen_7803
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 55
() -> drop([z, l, l]) -> 62
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 64
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 67
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(b, nil)  ;  u -> z  ;  x2 -> a  ;  x3 -> cons(b, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 55, which took 0.277004 s (model generation: 0.275526,  model checking: 0.001478):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7789
<cons, cons>(q_gen_7764, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 56
() -> drop([z, l, l]) -> 65
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 64
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 67
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(a, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 56, which took 0.298153 s (model generation: 0.282343,  model checking: 0.015810):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7756
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 57
() -> drop([z, l, l]) -> 65
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 67
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 67
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, cons(a, nil))  ;  _tca -> cons(b, nil)  ;  l1 -> cons(a, cons(a, cons(b, cons(a, nil))))  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 57, which took 0.348889 s (model generation: 0.340739,  model checking: 0.008150):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7756
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7751) -> q_gen_7772
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 58
() -> drop([z, l, l]) -> 66
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 67
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 70
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, nil)  ;  u -> z  ;  x2 -> a  ;  x3 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 58, which took 0.449966 s (model generation: 0.433639,  model checking: 0.016327):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7751) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 59
() -> drop([z, l, l]) -> 67
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 70
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 70
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> cons(b, cons(a, nil))  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 59, which took 0.496660 s (model generation: 0.491956,  model checking: 0.004704):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7789
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7751) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 60
() -> drop([z, l, l]) -> 68
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 70
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 73
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> cons(a, nil)  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 60, which took 0.406965 s (model generation: 0.401066,  model checking: 0.005899):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7790
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 61
() -> drop([z, l, l]) -> 69
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 73
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 73
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> nil  ;  _tca -> cons(a, nil)  ;  l1 -> cons(b, cons(b, cons(a, nil)))  ;  n -> s(s(z))  ;  x -> b
})

-------------------------------------------
Step 61, which took 0.452816 s (model generation: 0.443029,  model checking: 0.009787):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791, q_gen_7833, q_gen_7851},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7851
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7851) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7833) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7773
<s, cons, nil>(q_gen_7766, q_gen_7851) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 62
() -> drop([z, l, l]) -> 70
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 73
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 76
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(s(z)))  ;  x2 -> b  ;  x3 -> cons(b, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 62, which took 0.455129 s (model generation: 0.449350,  model checking: 0.005779):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791, q_gen_7809, q_gen_7833},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7759) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7833
<s, a>(q_gen_7751) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7789) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7789
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7789
<s, a>(q_gen_7759) -> q_gen_7809
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7833) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7773
<s, cons, nil>(q_gen_7766, q_gen_7833) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7759) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 63
() -> drop([z, l, l]) -> 71
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 76
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 76
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, nil)  ;  _tca -> nil  ;  l1 -> cons(a, nil)  ;  n -> s(s(s(z)))  ;  x -> a
})

-------------------------------------------
Step 63, which took 0.681845 s (model generation: 0.673357,  model checking: 0.008488):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791, q_gen_7809, q_gen_7833},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7833
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7756
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7763
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7763
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, a>(q_gen_7759) -> q_gen_7809
<s, b>(q_gen_7759) -> q_gen_7809
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7833) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7790) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7763) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7773
<s, cons, nil>(q_gen_7809, q_gen_7833) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7759) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 64
() -> drop([z, l, l]) -> 72
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 76
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 79
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 64, which took 0.528107 s (model generation: 0.525780,  model checking: 0.002327):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791, q_gen_7809, q_gen_7833, q_gen_7851},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7851
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7770
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7851) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7775
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7775
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, a>(q_gen_7759) -> q_gen_7809
<s, b>(q_gen_7759) -> q_gen_7809
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7833) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7851) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7809, q_gen_7833) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7773
<s, cons, nil>(q_gen_7809, q_gen_7851) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7764, q_gen_7778) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 65
() -> drop([z, l, l]) -> 75
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 76
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 79
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(a, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 65, which took 0.541132 s (model generation: 0.531080,  model checking: 0.010052):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7766, q_gen_7768, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7784, q_gen_7789, q_gen_7790, q_gen_7791, q_gen_7833, q_gen_7851},
Q_f={q_gen_7749},
Delta=
{
<s>(q_gen_7759) -> q_gen_7751
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7851
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<s, a>(q_gen_7759) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7751) -> q_gen_7768
<s, b>(q_gen_7759) -> q_gen_7768
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7851) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7789
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7784, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7851) -> q_gen_7749
<s, cons, nil>(q_gen_7768, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7768, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7768, q_gen_7833) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7784, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7773
<s, cons, nil>(q_gen_7768, q_gen_7851) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<s, b, a>(q_gen_7759) -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7759) -> q_gen_7784
<z, a, a>() -> q_gen_7784
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 66
() -> drop([z, l, l]) -> 76
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 79
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 79
}
Sat witness: Found: ((drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]), {
_sca -> cons(a, cons(a, cons(b, nil)))  ;  _tca -> nil  ;  l1 -> cons(a, cons(b, cons(a, nil)))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 66, which took 0.533701 s (model generation: 0.532135,  model checking: 0.001566):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7764, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7775, q_gen_7779, q_gen_7780, q_gen_7789, q_gen_7790, q_gen_7791, q_gen_7805, q_gen_7833, q_gen_7851},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s>(q_gen_7759) -> q_gen_7805
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7851
<s, a>(q_gen_7751) -> q_gen_7754
<s, b>(q_gen_7805) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7756
<cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7851) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<b, b>() -> q_gen_7757
<a, a>() -> q_gen_7764
<s, a>(q_gen_7759) -> q_gen_7766
<s, a>(q_gen_7805) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7775
<cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7775
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7775
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7789
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7772, q_gen_7789) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7775) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7789) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7851) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7833) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<s, nil, nil>(q_gen_7805) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7775) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7770) -> q_gen_7749
<z, cons, cons>(q_gen_7764, q_gen_7775) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7805) -> q_gen_7772
<s, b, a>(q_gen_7751) -> q_gen_7772
<s, b, a>(q_gen_7759) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7775) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7789) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7775) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7773
<s, cons, nil>(q_gen_7766, q_gen_7851) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7789) -> q_gen_7773
<s, a, a>(q_gen_7759) -> q_gen_7780
<s, b, a>(q_gen_7805) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 69
() -> drop([z, l, l]) -> 76
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 79
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 79
}
Sat witness: Found: (() -> drop([s(u), nil, nil]), {
u -> s(s(s(z)))
})

-------------------------------------------
Step 67, which took 0.565292 s (model generation: 0.550503,  model checking: 0.014789):

Model:
|_
{
drop -> 
{{{
Q={q_gen_7749, q_gen_7751, q_gen_7753, q_gen_7754, q_gen_7756, q_gen_7757, q_gen_7759, q_gen_7763, q_gen_7766, q_gen_7770, q_gen_7771, q_gen_7772, q_gen_7773, q_gen_7778, q_gen_7779, q_gen_7780, q_gen_7790, q_gen_7791, q_gen_7803, q_gen_7805, q_gen_7833, q_gen_7851},
Q_f={q_gen_7749},
Delta=
{
<z>() -> q_gen_7751
<nil>() -> q_gen_7753
<s>(q_gen_7751) -> q_gen_7759
<s>(q_gen_7805) -> q_gen_7759
<b>() -> q_gen_7771
<a>() -> q_gen_7779
<cons>(q_gen_7779, q_gen_7753) -> q_gen_7790
<s>(q_gen_7759) -> q_gen_7805
<cons>(q_gen_7771, q_gen_7790) -> q_gen_7833
<cons>(q_gen_7771, q_gen_7833) -> q_gen_7851
<s, b>(q_gen_7805) -> q_gen_7754
<z, a>() -> q_gen_7754
<z, b>() -> q_gen_7754
<cons, cons>(q_gen_7757, q_gen_7770) -> q_gen_7756
<cons, nil>(q_gen_7771, q_gen_7851) -> q_gen_7756
<cons, nil>(q_gen_7779, q_gen_7790) -> q_gen_7756
<nil, nil>() -> q_gen_7756
<a, a>() -> q_gen_7757
<b, b>() -> q_gen_7757
<cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7763
<cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7763
<cons, nil>(q_gen_7771, q_gen_7790) -> q_gen_7763
<s, a>(q_gen_7751) -> q_gen_7766
<s, a>(q_gen_7759) -> q_gen_7766
<s, a>(q_gen_7805) -> q_gen_7766
<s, b>(q_gen_7751) -> q_gen_7766
<s, b>(q_gen_7759) -> q_gen_7766
<cons, nil>(q_gen_7771, q_gen_7753) -> q_gen_7770
<cons, nil>(q_gen_7771, q_gen_7833) -> q_gen_7770
<cons, nil>(q_gen_7779, q_gen_7833) -> q_gen_7770
<cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7778
<cons, nil>(q_gen_7779, q_gen_7753) -> q_gen_7778
<s, cons, cons>(q_gen_7772, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7770) -> q_gen_7749
<s, cons, cons>(q_gen_7780, q_gen_7778) -> q_gen_7749
<s, cons, cons>(q_gen_7791, q_gen_7763) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7754, q_gen_7851) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7753) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7790) -> q_gen_7749
<s, cons, nil>(q_gen_7766, q_gen_7833) -> q_gen_7749
<s, nil, nil>(q_gen_7751) -> q_gen_7749
<s, nil, nil>(q_gen_7759) -> q_gen_7749
<s, nil, nil>(q_gen_7805) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7756) -> q_gen_7749
<z, cons, cons>(q_gen_7757, q_gen_7763) -> q_gen_7749
<z, nil, nil>() -> q_gen_7749
<s, a, a>(q_gen_7805) -> q_gen_7772
<z, a, b>() -> q_gen_7772
<z, b, b>() -> q_gen_7772
<s, cons, cons>(q_gen_7772, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7772, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7780, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7756) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7791, q_gen_7778) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7763) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7770) -> q_gen_7773
<s, cons, cons>(q_gen_7803, q_gen_7778) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7790) -> q_gen_7773
<s, cons, nil>(q_gen_7754, q_gen_7833) -> q_gen_7773
<s, cons, nil>(q_gen_7766, q_gen_7851) -> q_gen_7773
<z, cons, cons>(q_gen_7757, q_gen_7778) -> q_gen_7773
<s, b, a>(q_gen_7759) -> q_gen_7780
<z, a, a>() -> q_gen_7780
<z, b, a>() -> q_gen_7780
<s, a, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7751) -> q_gen_7791
<s, b, a>(q_gen_7805) -> q_gen_7791
<s, a, a>(q_gen_7759) -> q_gen_7803
}

Datatype: <nat, eltlist, eltlist>
Convolution form: left
}}}

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 70
() -> drop([z, l, l]) -> 77
(drop([n, l1, _tca]) /\ drop([s(n), cons(x, l1), _sca])) -> eq_eltlist([_sca, _tca]) -> 79
(drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]) -> 82
}
Sat witness: Found: ((drop([u, x3, _nca])) -> drop([s(u), cons(x2, x3), _nca]), {
_nca -> nil  ;  u -> s(s(s(z)))  ;  x2 -> b  ;  x3 -> cons(b, cons(a, nil))
})

Total time: 912.478062
Reason for stopping: DontKnow. Stopped because: timeout