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


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, _um])) -> drop([s(u), cons(x2, x3), _um])}
(drop([_vm, _wm, _xm]) /\ drop([_vm, _wm, _ym])) -> eq_eltlist([_xm, _ym])
)
}

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


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

Clause system for inference is:

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


Solving took 65.278225 seconds.
DontKnow. Stopped because: timeout
Working model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2601, q_gen_2602, q_gen_2603, q_gen_2604, q_gen_2605, q_gen_2606, q_gen_2607, q_gen_2608, q_gen_2609, q_gen_2610, q_gen_2611, q_gen_2612, q_gen_2613, q_gen_2614, q_gen_2615, q_gen_2616, q_gen_2617, q_gen_2618, q_gen_2619, q_gen_2620, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2624, q_gen_2625, q_gen_2626, q_gen_2627, q_gen_2628, q_gen_2629, q_gen_2630, q_gen_2631, q_gen_2632, q_gen_2633, q_gen_2634, q_gen_2635, q_gen_2636, q_gen_2637, q_gen_2638, q_gen_2639, q_gen_2640, q_gen_2641, q_gen_2642, q_gen_2643, q_gen_2644, q_gen_2645, q_gen_2646, q_gen_2647, q_gen_2648, q_gen_2649, q_gen_2650, q_gen_2651, q_gen_2652, q_gen_2653, q_gen_2654, q_gen_2655, q_gen_2656, q_gen_2657, q_gen_2658, q_gen_2659, q_gen_2660, q_gen_2661, q_gen_2662, q_gen_2663, q_gen_2664, q_gen_2665, q_gen_2666, q_gen_2667, q_gen_2668, q_gen_2669, q_gen_2670, q_gen_2671, q_gen_2672, q_gen_2673, q_gen_2674, q_gen_2675, q_gen_2676, q_gen_2677, q_gen_2678, q_gen_2679, q_gen_2680, q_gen_2681, q_gen_2682, q_gen_2683, q_gen_2684, q_gen_2685, q_gen_2686, q_gen_2687, q_gen_2688, q_gen_2689, q_gen_2690, q_gen_2691, q_gen_2692, q_gen_2693, q_gen_2694, q_gen_2695, q_gen_2696, q_gen_2697, q_gen_2698, q_gen_2699, q_gen_2700, q_gen_2701, q_gen_2702, q_gen_2703, q_gen_2704, q_gen_2705, q_gen_2706, q_gen_2707, q_gen_2708, q_gen_2709, q_gen_2710, q_gen_2711, q_gen_2712, q_gen_2713, q_gen_2714, q_gen_2715, q_gen_2716, q_gen_2717, q_gen_2718, q_gen_2719, q_gen_2720, q_gen_2721, q_gen_2722, q_gen_2723, q_gen_2724, q_gen_2725, q_gen_2726, q_gen_2727, q_gen_2728, q_gen_2729, q_gen_2730, q_gen_2731, q_gen_2732, q_gen_2733, q_gen_2734, q_gen_2735, q_gen_2736, q_gen_2737, q_gen_2738, q_gen_2739, q_gen_2740, q_gen_2741, q_gen_2742, q_gen_2743, q_gen_2744, q_gen_2745, q_gen_2746},
Q_f={},
Delta=
{
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<s>(q_gen_2602) -> q_gen_2610
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<z, nil>() -> q_gen_2604
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2614
<a, a>() -> q_gen_2615
<s, nil>(q_gen_2602) -> q_gen_2617
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2619
<s, cons>(q_gen_2605, q_gen_2617) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2632
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2619) -> q_gen_2652
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2657
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2684
<s, cons>(q_gen_2612, q_gen_2619) -> q_gen_2725
<s, cons>(q_gen_2605, q_gen_2630) -> q_gen_2743
<s, cons>(q_gen_2612, q_gen_2630) -> q_gen_2746
<z, nil, nil>() -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2601
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2603
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2606
<s, nil, nil>(q_gen_2610) -> q_gen_2609
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2611
<z, cons, cons>(q_gen_2615, q_gen_2614) -> q_gen_2613
<s, cons, nil>(q_gen_2605, q_gen_2617) -> q_gen_2616
<s, cons, nil>(q_gen_2605, q_gen_2619) -> q_gen_2618
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2620
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2625) -> q_gen_2624
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2625
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2626
<s, cons, cons>(q_gen_2608, q_gen_2601) -> q_gen_2628
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2629
<z, cons, cons>(q_gen_2608, q_gen_2632) -> q_gen_2631
<s, cons, cons>(q_gen_2608, q_gen_2629) -> q_gen_2633
<s, cons, cons>(q_gen_2608, q_gen_2635) -> q_gen_2634
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2635
<s, cons, cons>(q_gen_2608, q_gen_2637) -> q_gen_2636
<s, cons, cons>(q_gen_2608, q_gen_2638) -> q_gen_2637
<s, cons, cons>(q_gen_2608, q_gen_2603) -> q_gen_2638
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2639
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2640
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
<s, cons, cons>(q_gen_2608, q_gen_2644) -> q_gen_2643
<s, cons, cons>(q_gen_2615, q_gen_2625) -> q_gen_2644
<s, cons, nil>(q_gen_2612, q_gen_2619) -> q_gen_2645
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2646
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2648
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2649
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2650
<s, cons, nil>(q_gen_2612, q_gen_2652) -> q_gen_2651
<s, cons, cons>(q_gen_2642, q_gen_2611) -> q_gen_2653
<s, cons, cons>(q_gen_2615, q_gen_2603) -> q_gen_2654
<s, cons, cons>(q_gen_2615, q_gen_2656) -> q_gen_2655
<s, cons, nil>(q_gen_2612, q_gen_2657) -> q_gen_2656
<s, cons, cons>(q_gen_2647, q_gen_2659) -> q_gen_2658
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2659
<s, cons, cons>(q_gen_2608, q_gen_2654) -> q_gen_2660
<s, cons, cons>(q_gen_2615, q_gen_2629) -> q_gen_2661
<s, cons, cons>(q_gen_2615, q_gen_2663) -> q_gen_2662
<s, cons, cons>(q_gen_2647, q_gen_2664) -> q_gen_2663
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2664
<s, cons, cons>(q_gen_2642, q_gen_2666) -> q_gen_2665
<s, cons, cons>(q_gen_2647, q_gen_2667) -> q_gen_2666
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2667
<s, cons, cons>(q_gen_2608, q_gen_2669) -> q_gen_2668
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2669
<s, cons, cons>(q_gen_2615, q_gen_2638) -> q_gen_2670
<s, cons, cons>(q_gen_2615, q_gen_2672) -> q_gen_2671
<s, cons, cons>(q_gen_2647, q_gen_2673) -> q_gen_2672
<s, cons, nil>(q_gen_2605, q_gen_2657) -> q_gen_2673
<s, cons, cons>(q_gen_2642, q_gen_2625) -> q_gen_2674
<s, cons, cons>(q_gen_2647, q_gen_2648) -> q_gen_2675
<s, cons, cons>(q_gen_2608, q_gen_2661) -> q_gen_2676
<s, cons, cons>(q_gen_2608, q_gen_2678) -> q_gen_2677
<s, cons, cons>(q_gen_2642, q_gen_2669) -> q_gen_2678
<s, cons, cons>(q_gen_2615, q_gen_2669) -> q_gen_2679
<s, cons, cons>(q_gen_2615, q_gen_2681) -> q_gen_2680
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2681
<s, cons, nil>(q_gen_2605, q_gen_2684) -> q_gen_2683
<s, cons, cons>(q_gen_2642, q_gen_2681) -> q_gen_2685
<s, cons, cons>(q_gen_2615, q_gen_2683) -> q_gen_2686
<s, cons, cons>(q_gen_2615, q_gen_2606) -> q_gen_2687
<s, cons, cons>(q_gen_2642, q_gen_2646) -> q_gen_2688
<s, cons, cons>(q_gen_2615, q_gen_2601) -> q_gen_2689
<s, cons, cons>(q_gen_2642, q_gen_2691) -> q_gen_2690
<s, cons, cons>(q_gen_2615, q_gen_2692) -> q_gen_2691
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2692
<s, cons, cons>(q_gen_2615, q_gen_2694) -> q_gen_2693
<s, cons, cons>(q_gen_2642, q_gen_2695) -> q_gen_2694
<s, cons, cons>(q_gen_2647, q_gen_2696) -> q_gen_2695
<s, cons, cons>(q_gen_2647, q_gen_2603) -> q_gen_2696
<s, cons, cons>(q_gen_2615, q_gen_2659) -> q_gen_2697
<s, cons, cons>(q_gen_2647, q_gen_2649) -> q_gen_2698
<s, cons, cons>(q_gen_2647, q_gen_2700) -> q_gen_2699
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2700
<s, cons, cons>(q_gen_2642, q_gen_2702) -> q_gen_2701
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2702
<s, cons, cons>(q_gen_2615, q_gen_2704) -> q_gen_2703
<s, cons, cons>(q_gen_2642, q_gen_2696) -> q_gen_2704
<s, cons, cons>(q_gen_2615, q_gen_2706) -> q_gen_2705
<s, cons, cons>(q_gen_2647, q_gen_2625) -> q_gen_2706
<s, cons, cons>(q_gen_2647, q_gen_2650) -> q_gen_2707
<s, cons, cons>(q_gen_2647, q_gen_2709) -> q_gen_2708
<s, cons, cons>(q_gen_2647, q_gen_2681) -> q_gen_2709
<s, cons, cons>(q_gen_2615, q_gen_2611) -> q_gen_2710
<s, cons, cons>(q_gen_2642, q_gen_2645) -> q_gen_2711
<s, cons, cons>(q_gen_2615, q_gen_2649) -> q_gen_2712
<s, cons, cons>(q_gen_2642, q_gen_2700) -> q_gen_2713
<s, cons, cons>(q_gen_2642, q_gen_2661) -> q_gen_2714
<s, cons, cons>(q_gen_2647, q_gen_2629) -> q_gen_2715
<s, cons, cons>(q_gen_2615, q_gen_2717) -> q_gen_2716
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2717
<s, cons, cons>(q_gen_2642, q_gen_2670) -> q_gen_2718
<s, cons, cons>(q_gen_2642, q_gen_2650) -> q_gen_2719
<s, cons, cons>(q_gen_2615, q_gen_2664) -> q_gen_2720
<s, cons, cons>(q_gen_2642, q_gen_2667) -> q_gen_2721
<s, cons, cons>(q_gen_2608, q_gen_2723) -> q_gen_2722
<s, cons, cons>(q_gen_2642, q_gen_2706) -> q_gen_2723
<s, cons, nil>(q_gen_2605, q_gen_2725) -> q_gen_2724
<s, cons, cons>(q_gen_2615, q_gen_2648) -> q_gen_2726
<s, cons, cons>(q_gen_2647, q_gen_2668) -> q_gen_2727
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2728
<s, cons, cons>(q_gen_2642, q_gen_2730) -> q_gen_2729
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2730
<s, cons, cons>(q_gen_2647, q_gen_2732) -> q_gen_2731
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2732
<s, cons, cons>(q_gen_2608, q_gen_2664) -> q_gen_2733
<s, cons, cons>(q_gen_2608, q_gen_2692) -> q_gen_2734
<s, cons, cons>(q_gen_2608, q_gen_2736) -> q_gen_2735
<s, cons, cons>(q_gen_2608, q_gen_2696) -> q_gen_2736
<s, cons, cons>(q_gen_2608, q_gen_2732) -> q_gen_2737
<s, cons, cons>(q_gen_2615, q_gen_2668) -> q_gen_2738
<s, cons, cons>(q_gen_2642, q_gen_2740) -> q_gen_2739
<s, cons, cons>(q_gen_2608, q_gen_2730) -> q_gen_2740
<s, cons, cons>(q_gen_2608, q_gen_2742) -> q_gen_2741
<s, cons, nil>(q_gen_2605, q_gen_2743) -> q_gen_2742
<s, cons, cons>(q_gen_2608, q_gen_2745) -> q_gen_2744
<s, cons, nil>(q_gen_2612, q_gen_2746) -> q_gen_2745
}

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

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

-------------------
STEPS:
-------------------------------------------
Step 0, which took 0.010339 s (model generation: 0.009697,  model checking: 0.000642):

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

}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 1
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 1
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> nil
})

-------------------------------------------
Step 1, which took 0.010269 s (model generation: 0.009969,  model checking: 0.000300):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600},
Q_f={q_gen_2600},
Delta=
{
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 1
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 1
}
Sat witness: Found: (() -> drop([s(u), nil, nil]), {
u -> z
})

-------------------------------------------
Step 2, which took 0.010818 s (model generation: 0.010350,  model checking: 0.000468):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602},
Q_f={q_gen_2600},
Delta=
{
<z>() -> q_gen_2602
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 1
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 4
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> nil  ;  u -> z  ;  x2 -> b  ;  x3 -> nil
})

-------------------------------------------
Step 3, which took 0.011245 s (model generation: 0.010659,  model checking: 0.000586):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605},
Q_f={q_gen_2600},
Delta=
{
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<z, nil>() -> q_gen_2604
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 2
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 4
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, nil)
})

-------------------------------------------
Step 4, which took 0.011686 s (model generation: 0.010987,  model checking: 0.000699):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608},
Q_f={q_gen_2600},
Delta=
{
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<z, nil>() -> q_gen_2604
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 3
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 4
}
Sat witness: Found: (() -> drop([s(u), nil, nil]), {
u -> s(z)
})

-------------------------------------------
Step 5, which took 0.012683 s (model generation: 0.011566,  model checking: 0.001117):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<z, nil>() -> q_gen_2604
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 4
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 7
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> nil  ;  u -> z  ;  x2 -> a  ;  x3 -> nil
})

-------------------------------------------
Step 6, which took 0.012871 s (model generation: 0.012023,  model checking: 0.000848):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<z, nil>() -> q_gen_2604
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 5
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 7
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 7, which took 0.013999 s (model generation: 0.012714,  model checking: 0.001285):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 6
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 10
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> nil  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> nil
})

-------------------------------------------
Step 8, which took 0.015273 s (model generation: 0.013305,  model checking: 0.001968):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 7
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 13
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> nil  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 9, which took 0.016062 s (model generation: 0.013984,  model checking: 0.002078):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 8
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 16
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(b, nil)
})

-------------------------------------------
Step 10, which took 0.016626 s (model generation: 0.015813,  model checking: 0.000813):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2622},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 11
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 16
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, nil)  ;  l1 -> nil  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 11, which took 0.018024 s (model generation: 0.016542,  model checking: 0.001482):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 14
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 16
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, cons(a, nil))  ;  l1 -> cons(a, nil)  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 12, which took 0.019830 s (model generation: 0.018052,  model checking: 0.001778):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2601, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2622, q_gen_2623},
Q_f={q_gen_2600, q_gen_2601},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, cons>(q_gen_2608, q_gen_2601) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2601
<s, nil, nil>(q_gen_2602) -> q_gen_2601
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2601
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2601
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 17
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 16
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, nil)  ;  _zm -> nil  ;  l1 -> cons(b, nil)  ;  n -> s(s(z))  ;  x -> b
})

-------------------------------------------
Step 13, which took 0.024436 s (model generation: 0.021514,  model checking: 0.002922):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2620, q_gen_2622, q_gen_2623},
Q_f={q_gen_2600, q_gen_2620},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2620) -> q_gen_2620
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2620
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 17
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 19
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> nil  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(b, nil)
})

-------------------------------------------
Step 14, which took 0.024559 s (model generation: 0.022279,  model checking: 0.002280):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2620, q_gen_2622, q_gen_2623},
Q_f={q_gen_2600, q_gen_2620},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2620) -> q_gen_2620
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2620
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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]) -> 14
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 20
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 19
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, nil)  ;  l1 -> cons(b, nil)  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 15, which took 0.025891 s (model generation: 0.024368,  model checking: 0.001523):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2615, q_gen_2621, q_gen_2622},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 20
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 19
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 16, which took 0.014187 s (model generation: 0.013015,  model checking: 0.001172):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622, q_gen_2623},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 20
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 22
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(b, cons(b, nil))
})

-------------------------------------------
Step 17, which took 0.011104 s (model generation: 0.009583,  model checking: 0.001521):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2630},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 23
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 22
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, nil)  ;  l1 -> nil  ;  n -> z  ;  x -> a
})

-------------------------------------------
Step 18, which took 0.029461 s (model generation: 0.026206,  model checking: 0.003255):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2603, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622, q_gen_2623},
Q_f={q_gen_2600, q_gen_2603},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, cons>(q_gen_2608, q_gen_2603) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2603
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2603
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2603
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 23
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 25
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, cons(b, cons(b, nil)))  ;  u -> s(s(s(z)))  ;  x2 -> b  ;  x3 -> cons(b, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 19, which took 0.039585 s (model generation: 0.037340,  model checking: 0.002245):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2603, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622, q_gen_2623},
Q_f={q_gen_2600, q_gen_2603},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons, cons>(q_gen_2608, q_gen_2603) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2603
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2603
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 26
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 25
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, nil)  ;  _zm -> nil  ;  l1 -> cons(b, nil)  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 20, which took 0.042112 s (model generation: 0.036933,  model checking: 0.005179):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 26
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 28
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, nil)  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 21, which took 0.049303 s (model generation: 0.045360,  model checking: 0.003943):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 29
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 28
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, cons(a, cons(a, nil)))  ;  l1 -> cons(a, cons(a, nil))  ;  n -> s(s(z))  ;  x -> b
})

-------------------------------------------
Step 22, which took 0.059182 s (model generation: 0.053650,  model checking: 0.005532):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<b, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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]) -> 24
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 29
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 31
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> z  ;  x2 -> a  ;  x3 -> cons(b, nil)
})

-------------------------------------------
Step 23, which took 0.064921 s (model generation: 0.060571,  model checking: 0.004350):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<a, b>() -> q_gen_2608
<b, a>() -> q_gen_2608
<b, b>() -> q_gen_2608
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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]) -> 25
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 32
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 31
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(a, nil)  ;  _zm -> cons(b, nil)  ;  l1 -> cons(b, cons(b, nil))  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 24, which took 0.066867 s (model generation: 0.065197,  model checking: 0.001670):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2614, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2624, q_gen_2630},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<a>() -> q_gen_2605
<b>() -> q_gen_2605
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2614
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2614
<a, a>() -> q_gen_2615
<b, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2614) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2614) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2624) -> q_gen_2624
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2624
<s, cons, cons>(q_gen_2615, q_gen_2624) -> q_gen_2624
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 32
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 31
}
Sat witness: Found: (() -> drop([z, l, l]), {
l -> cons(a, nil)
})

-------------------------------------------
Step 25, which took 0.067816 s (model generation: 0.064669,  model checking: 0.003147):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2624, q_gen_2630},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<b, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2624) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2624) -> q_gen_2624
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2624
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2624
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 32
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 34
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(a, nil)
})

-------------------------------------------
Step 26, which took 0.079226 s (model generation: 0.076700,  model checking: 0.002526):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2606, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2642},
Q_f={q_gen_2600, q_gen_2606},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2606) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2606) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2606
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2606
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2606
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 35
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 34
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(a, nil)  ;  _zm -> nil  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 27, which took 0.085763 s (model generation: 0.083536,  model checking: 0.002227):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2603, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2642},
Q_f={q_gen_2600, q_gen_2603},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2603) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2603) -> q_gen_2603
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2603
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2603
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2603
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
}

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

}
--
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, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 35
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 37
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, nil)  ;  u -> s(s(z))  ;  x2 -> a  ;  x3 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 28, which took 0.094326 s (model generation: 0.093102,  model checking: 0.001224):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2625, q_gen_2627, q_gen_2640},
Q_f={q_gen_2600, q_gen_2640},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<b, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2625) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2625
<s, cons, cons>(q_gen_2615, q_gen_2625) -> q_gen_2625
<s, cons, cons>(q_gen_2608, q_gen_2640) -> q_gen_2640
<s, cons, cons>(q_gen_2615, q_gen_2640) -> q_gen_2640
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2640
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 27
() -> drop([z, l, l]) -> 32
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 38
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 37
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, nil)  ;  l1 -> cons(a, nil)  ;  n -> z  ;  x -> b
})

-------------------------------------------
Step 29, which took 0.085635 s (model generation: 0.082560,  model checking: 0.003075):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2629, q_gen_2630, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2629) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2629) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2629
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2629
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 28
() -> drop([z, l, l]) -> 33
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 38
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 40
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, cons(a, nil))  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 30, which took 0.095894 s (model generation: 0.092985,  model checking: 0.002909):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2627, q_gen_2641, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, a>() -> q_gen_2608
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 34
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 41
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 40
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, nil)  ;  _zm -> cons(a, nil)  ;  l1 -> cons(b, cons(b, nil))  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 31, which took 0.098088 s (model generation: 0.091624,  model checking: 0.006464):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<b, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 35
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 41
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 43
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(b, cons(a, nil)))  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 32, which took 0.142118 s (model generation: 0.140230,  model checking: 0.001888):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2625, q_gen_2627},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<b, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2625) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2625
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2625
<s, cons, cons>(q_gen_2615, q_gen_2625) -> q_gen_2625
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2625
}

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

}
--
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]) -> 36
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 44
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 43
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, cons(b, nil))  ;  l1 -> cons(a, nil)  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 33, which took 0.135879 s (model generation: 0.134111,  model checking: 0.001768):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2625, q_gen_2627, q_gen_2647},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<b, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<a, b>() -> q_gen_2647
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2625) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2625) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2625) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2625
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2625
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2625
}

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

}
--
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]) -> 37
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 44
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 46
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, nil)  ;  u -> z  ;  x2 -> b  ;  x3 -> cons(b, nil)
})

-------------------------------------------
Step 34, which took 0.146317 s (model generation: 0.143359,  model checking: 0.002958):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2625, q_gen_2627, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<a, b>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2625) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2625) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2625
<s, cons, cons>(q_gen_2615, q_gen_2625) -> q_gen_2625
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2625
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2625
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2625
}

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

}
--
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]) -> 38
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 47
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 46
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, cons(b, nil))  ;  l1 -> cons(b, nil)  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 35, which took 0.131459 s (model generation: 0.123824,  model checking: 0.007635):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2627, q_gen_2642, q_gen_2647},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2623
}

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

}
--
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]) -> 39
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 47
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 49
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(b, nil))  ;  u -> s(s(s(z)))  ;  x2 -> a  ;  x3 -> cons(a, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 36, which took 0.134800 s (model generation: 0.132773,  model checking: 0.002027):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2627, q_gen_2642, q_gen_2647},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2623
}

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

}
--
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]) -> 40
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 50
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 49
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, cons(a, nil))  ;  l1 -> cons(a, nil)  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 37, which took 0.136229 s (model generation: 0.131707,  model checking: 0.004522):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2627, q_gen_2641, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 41
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 50
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 52
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, cons(a, nil))  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 38, which took 0.149785 s (model generation: 0.146719,  model checking: 0.003066):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2627, q_gen_2641, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 42
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 53
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 52
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, cons(a, cons(b, nil)))  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(s(z))  ;  x -> b
})

-------------------------------------------
Step 39, which took 0.158487 s (model generation: 0.153433,  model checking: 0.005054):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2627, q_gen_2641, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2627
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2627
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2627) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2627) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 43
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 53
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 55
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> nil  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(b, nil)
})

-------------------------------------------
Step 40, which took 0.175602 s (model generation: 0.171677,  model checking: 0.003925):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 44
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 56
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 55
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, cons(b, nil))  ;  l1 -> cons(a, nil)  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 41, which took 0.190301 s (model generation: 0.184859,  model checking: 0.005442):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 45
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 56
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 58
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, nil)  ;  u -> s(z)  ;  x2 -> a  ;  x3 -> cons(b, cons(a, nil))
})

-------------------------------------------
Step 42, which took 0.220475 s (model generation: 0.219075,  model checking: 0.001400):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2601, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642},
Q_f={q_gen_2600, q_gen_2601},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2601) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2601
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2601
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2601
<s, nil, nil>(q_gen_2602) -> q_gen_2601
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2601
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2601) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2601) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 46
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 59
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 58
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, nil)  ;  _zm -> nil  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 43, which took 0.213636 s (model generation: 0.209210,  model checking: 0.004426):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2630
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 47
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 59
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 61
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, nil)  ;  u -> s(s(z))  ;  x2 -> a  ;  x3 -> cons(b, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 44, which took 0.274996 s (model generation: 0.271242,  model checking: 0.003754):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<a, b>() -> q_gen_2608
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 48
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 62
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 61
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, nil)  ;  _zm -> cons(a, nil)  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 45, which took 0.282583 s (model generation: 0.280429,  model checking: 0.002154):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2601, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647},
Q_f={q_gen_2600, q_gen_2601},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2601
<s, cons, cons>(q_gen_2615, q_gen_2601) -> q_gen_2601
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2601
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2601
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2601
<s, nil, nil>(q_gen_2602) -> q_gen_2601
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2601
<s, cons, cons>(q_gen_2608, q_gen_2601) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2601) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2601) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 49
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 62
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 64
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(b, nil))  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 46, which took 0.251301 s (model generation: 0.249700,  model checking: 0.001601):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2601, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647},
Q_f={q_gen_2600, q_gen_2601},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2601) -> q_gen_2601
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2601
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2601
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2601
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2601
<s, nil, nil>(q_gen_2602) -> q_gen_2601
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2601) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2601) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2601) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2641
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2641
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 50
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 65
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 64
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, nil)  ;  l1 -> nil  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 47, which took 0.704499 s (model generation: 0.693629,  model checking: 0.010870):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2641
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 51
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 65
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 67
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(a, cons(b, cons(b, nil))))  ;  u -> s(s(s(s(z))))  ;  x2 -> a  ;  x3 -> cons(b, cons(a, cons(a, cons(b, nil))))
})

-------------------------------------------
Step 48, which took 0.496976 s (model generation: 0.493837,  model checking: 0.003139):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 52
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 68
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 67
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, cons(a, nil))  ;  l1 -> cons(b, nil)  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 49, which took 0.602570 s (model generation: 0.593290,  model checking: 0.009280):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 53
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 68
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 70
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, cons(b, nil))  ;  u -> s(z)  ;  x2 -> a  ;  x3 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 50, which took 0.794770 s (model generation: 0.790513,  model checking: 0.004257):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 54
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 71
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 70
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, nil)  ;  l1 -> nil  ;  n -> z  ;  x -> a
})

-------------------------------------------
Step 51, which took 0.679137 s (model generation: 0.670424,  model checking: 0.008713):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 55
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 71
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 73
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(a, cons(b, nil)))  ;  u -> s(s(s(z)))  ;  x2 -> a  ;  x3 -> cons(b, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 52, which took 0.825796 s (model generation: 0.820737,  model checking: 0.005059):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2641
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 56
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 74
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 73
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, cons(b, cons(a, nil)))  ;  l1 -> cons(a, cons(a, nil))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 53, which took 0.765826 s (model generation: 0.757139,  model checking: 0.008687):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2641
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 57
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 74
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 76
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, cons(b, nil))  ;  u -> s(s(z))  ;  x2 -> a  ;  x3 -> cons(a, cons(b, cons(a, nil)))
})

-------------------------------------------
Step 54, which took 0.993276 s (model generation: 0.990127,  model checking: 0.003149):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2603, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647},
Q_f={q_gen_2600, q_gen_2603},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2603) -> q_gen_2603
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2603
<s, cons, cons>(q_gen_2647, q_gen_2603) -> q_gen_2603
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2603
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2603
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2603
<s, cons, cons>(q_gen_2642, q_gen_2603) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2603) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2641
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 58
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 77
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 76
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, cons(a, nil))  ;  l1 -> cons(a, nil)  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 55, which took 0.889939 s (model generation: 0.887038,  model checking: 0.002901):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2603, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2625, q_gen_2630, q_gen_2642, q_gen_2647},
Q_f={q_gen_2600, q_gen_2603},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2603) -> q_gen_2603
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2603
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2603
<s, cons, cons>(q_gen_2608, q_gen_2625) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2603) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2603) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2625) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2603) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2625
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2625
<s, cons, cons>(q_gen_2615, q_gen_2625) -> q_gen_2625
<s, cons, cons>(q_gen_2642, q_gen_2625) -> q_gen_2625
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2625
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2625
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2625
}

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

}
--
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]) -> 59
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 77
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 79
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, nil)  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 56, which took 0.940699 s (model generation: 0.935071,  model checking: 0.005628):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2641
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 60
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 80
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 79
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, cons(a, cons(b, nil)))  ;  l1 -> cons(a, cons(b, nil))  ;  n -> s(s(z))  ;  x -> b
})

-------------------------------------------
Step 57, which took 1.213654 s (model generation: 1.209485,  model checking: 0.004169):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2624, q_gen_2630, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2624) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2624) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2624) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2624) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2624
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2624
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2624
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2624
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2624
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2624
}

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

}
--
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]) -> 61
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 80
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 82
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(b, nil))  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 58, which took 1.194599 s (model generation: 1.187512,  model checking: 0.007087):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 62
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 83
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 82
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, nil)  ;  _zm -> cons(a, cons(a, nil))  ;  l1 -> cons(a, cons(b, cons(b, nil)))  ;  n -> s(s(z))  ;  x -> b
})

-------------------------------------------
Step 59, which took 1.299401 s (model generation: 1.291017,  model checking: 0.008384):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2641
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 63
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 83
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 85
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(a, cons(b, nil)))  ;  u -> s(s(s(z)))  ;  x2 -> b  ;  x3 -> cons(a, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 60, which took 1.939110 s (model generation: 1.932608,  model checking: 0.006502):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2641
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 64
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 86
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 85
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(a, nil)  ;  _zm -> cons(a, cons(b, nil))  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(z)  ;  x -> b
})

-------------------------------------------
Step 61, which took 1.921795 s (model generation: 1.919458,  model checking: 0.002337):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 65
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 86
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 88
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(a, nil))  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 62, which took 1.714263 s (model generation: 1.709782,  model checking: 0.004481):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 66
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 89
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 88
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, cons(a, cons(b, cons(a, nil))))  ;  l1 -> cons(b, cons(a, cons(a, nil)))  ;  n -> s(s(s(z)))  ;  x -> b
})

-------------------------------------------
Step 63, which took 2.184626 s (model generation: 2.183075,  model checking: 0.001551):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 67
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 89
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 91
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(a, nil))  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 64, which took 2.432786 s (model generation: 2.428915,  model checking: 0.003871):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 68
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 92
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 91
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(b, cons(b, cons(b, nil)))  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 65, which took 1.933802 s (model generation: 1.916735,  model checking: 0.017067):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 69
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 92
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 94
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, nil)  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(a, cons(a, nil))
})

-------------------------------------------
Step 66, which took 2.984948 s (model generation: 2.979139,  model checking: 0.005809):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 70
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 95
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 94
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, nil)  ;  _zm -> cons(b, cons(a, nil))  ;  l1 -> cons(a, cons(b, nil))  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 67, which took 1.852838 s (model generation: 1.841415,  model checking: 0.011423):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 71
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 95
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 97
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> s(z)  ;  x2 -> a  ;  x3 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 68, which took 2.611165 s (model generation: 2.605722,  model checking: 0.005443):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2621
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2621
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 67
() -> drop([z, l, l]) -> 72
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 98
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 97
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(b, cons(a, nil))  ;  _zm -> cons(b, nil)  ;  l1 -> cons(b, cons(b, nil))  ;  n -> s(z)  ;  x -> a
})

-------------------------------------------
Step 69, which took 2.159255 s (model generation: 2.141841,  model checking: 0.017414):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 68
() -> drop([z, l, l]) -> 73
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 98
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 100
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, cons(b, cons(b, nil)))  ;  u -> s(s(s(z)))  ;  x2 -> b  ;  x3 -> cons(b, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 70, which took 2.905980 s (model generation: 2.899679,  model checking: 0.006301):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2621
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 74
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 101
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 100
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(a, nil)  ;  _zm -> cons(b, cons(b, nil))  ;  l1 -> cons(a, cons(b, cons(a, nil)))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 71, which took 3.216421 s (model generation: 3.211061,  model checking: 0.005360):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

}
--
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]) -> 75
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 101
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 103
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> s(z)  ;  x2 -> b  ;  x3 -> cons(a, cons(b, nil))
})

-------------------------------------------
Step 72, which took 2.935039 s (model generation: 2.929078,  model checking: 0.005961):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2624, q_gen_2630, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2624) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2624) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2624) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2624
<s, cons, cons>(q_gen_2647, q_gen_2624) -> q_gen_2624
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2624
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2624
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2624
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2624
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 71
() -> drop([z, l, l]) -> 76
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 104
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 103
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> nil  ;  _zm -> cons(a, cons(b, cons(b, nil)))  ;  l1 -> cons(b, cons(a, nil))  ;  n -> s(s(z))  ;  x -> a
})

-------------------------------------------
Step 73, which took 3.005785 s (model generation: 2.997871,  model checking: 0.007914):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2641
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 72
() -> drop([z, l, l]) -> 77
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 104
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 106
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(a, cons(b, nil))  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(b, cons(a, cons(a, nil)))
})

-------------------------------------------
Step 74, which took 2.808838 s (model generation: 2.789846,  model checking: 0.018992):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 73
() -> drop([z, l, l]) -> 78
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 105
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 109
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(b, cons(b, cons(b, nil)))
})

-------------------------------------------
Step 75, which took 5.307649 s (model generation: 5.285791,  model checking: 0.021858):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2647, q_gen_2682},
Q_f={q_gen_2600},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2604
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2604
<s, nil>(q_gen_2602) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2605, q_gen_2630) -> q_gen_2630
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2682) -> q_gen_2682
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2682
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2600
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2600
<s, nil, nil>(q_gen_2602) -> q_gen_2600
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2621
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2623
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2623
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, nil>(q_gen_2605, q_gen_2682) -> q_gen_2641
<s, cons, nil>(q_gen_2612, q_gen_2682) -> q_gen_2641
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 74
() -> drop([z, l, l]) -> 79
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 106
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 112
}
Sat witness: Found: ((drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]), {
_um -> cons(b, nil)  ;  u -> s(s(z))  ;  x2 -> b  ;  x3 -> cons(a, cons(a, cons(b, nil)))
})

-------------------------------------------
Step 76, which took 2.029084 s (model generation: 2.025359,  model checking: 0.003725):

Model:
|_
{
drop -> 
{{{
Q={q_gen_2600, q_gen_2601, q_gen_2602, q_gen_2604, q_gen_2605, q_gen_2607, q_gen_2608, q_gen_2612, q_gen_2615, q_gen_2617, q_gen_2621, q_gen_2622, q_gen_2623, q_gen_2625, q_gen_2629, q_gen_2630, q_gen_2641, q_gen_2642, q_gen_2643, q_gen_2644, q_gen_2645, q_gen_2646, q_gen_2647, q_gen_2650, q_gen_2657, q_gen_2659, q_gen_2660, q_gen_2661, q_gen_2662, q_gen_2663, q_gen_2664, q_gen_2666, q_gen_2667, q_gen_2668, q_gen_2669, q_gen_2671, q_gen_2672, q_gen_2673, q_gen_2675, q_gen_2676, q_gen_2677, q_gen_2683, q_gen_2684, q_gen_2685, q_gen_2686, q_gen_2688, q_gen_2690, q_gen_2691, q_gen_2693, q_gen_2694},
Q_f={q_gen_2600, q_gen_2601, q_gen_2646, q_gen_2673},
Delta=
{
<s>(q_gen_2602) -> q_gen_2602
<z>() -> q_gen_2602
<b>() -> q_gen_2605
<a>() -> q_gen_2612
<nil>() -> q_gen_2622
<s, cons>(q_gen_2605, q_gen_2617) -> q_gen_2604
<z, nil>() -> q_gen_2604
<cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2607
<cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2607
<nil, nil>() -> q_gen_2607
<b, b>() -> q_gen_2608
<a, a>() -> q_gen_2615
<s, cons>(q_gen_2612, q_gen_2604) -> q_gen_2617
<s, cons>(q_gen_2612, q_gen_2617) -> q_gen_2617
<s, nil>(q_gen_2602) -> q_gen_2617
<z, cons>(q_gen_2605, q_gen_2622) -> q_gen_2630
<b, a>() -> q_gen_2642
<a, b>() -> q_gen_2647
<s, cons>(q_gen_2605, q_gen_2604) -> q_gen_2657
<z, cons>(q_gen_2612, q_gen_2622) -> q_gen_2657
<s, cons>(q_gen_2605, q_gen_2630) -> q_gen_2684
<s, cons>(q_gen_2605, q_gen_2657) -> q_gen_2684
<s, cons>(q_gen_2612, q_gen_2630) -> q_gen_2684
<s, cons, cons>(q_gen_2608, q_gen_2621) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2629) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2683) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2690) -> q_gen_2600
<s, cons, cons>(q_gen_2608, q_gen_2691) -> q_gen_2600
<s, cons, cons>(q_gen_2615, q_gen_2673) -> q_gen_2600
<s, cons, cons>(q_gen_2642, q_gen_2641) -> q_gen_2600
<s, cons, cons>(q_gen_2647, q_gen_2691) -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2617) -> q_gen_2600
<z, cons, cons>(q_gen_2615, q_gen_2607) -> q_gen_2600
<z, nil, nil>() -> q_gen_2600
<s, cons, nil>(q_gen_2605, q_gen_2604) -> q_gen_2601
<s, cons, nil>(q_gen_2612, q_gen_2604) -> q_gen_2601
<s, nil, nil>(q_gen_2602) -> q_gen_2601
<z, cons, cons>(q_gen_2608, q_gen_2607) -> q_gen_2601
<s, cons, cons>(q_gen_2608, q_gen_2623) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2625) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2659) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2668) -> q_gen_2621
<s, cons, cons>(q_gen_2615, q_gen_2669) -> q_gen_2621
<s, cons, cons>(q_gen_2642, q_gen_2625) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2650) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2668) -> q_gen_2621
<s, cons, cons>(q_gen_2647, q_gen_2672) -> q_gen_2621
<z, cons, nil>(q_gen_2605, q_gen_2622) -> q_gen_2621
<s, cons, cons>(q_gen_2608, q_gen_2600) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2601) -> q_gen_2623
<s, cons, cons>(q_gen_2608, q_gen_2693) -> q_gen_2623
<s, cons, cons>(q_gen_2642, q_gen_2621) -> q_gen_2623
<z, cons, cons>(q_gen_2647, q_gen_2607) -> q_gen_2623
<s, cons, cons>(q_gen_2615, q_gen_2600) -> q_gen_2625
<s, cons, nil>(q_gen_2605, q_gen_2630) -> q_gen_2629
<z, cons, nil>(q_gen_2612, q_gen_2622) -> q_gen_2641
<s, cons, cons>(q_gen_2608, q_gen_2644) -> q_gen_2643
<s, cons, cons>(q_gen_2615, q_gen_2625) -> q_gen_2644
<s, cons, nil>(q_gen_2612, q_gen_2617) -> q_gen_2645
<s, cons, cons>(q_gen_2647, q_gen_2621) -> q_gen_2646
<s, cons, cons>(q_gen_2608, q_gen_2641) -> q_gen_2650
<s, cons, cons>(q_gen_2615, q_gen_2601) -> q_gen_2650
<s, cons, cons>(q_gen_2615, q_gen_2650) -> q_gen_2650
<s, cons, cons>(q_gen_2642, q_gen_2601) -> q_gen_2650
<s, cons, cons>(q_gen_2647, q_gen_2659) -> q_gen_2650
<s, cons, nil>(q_gen_2612, q_gen_2657) -> q_gen_2650
<s, cons, cons>(q_gen_2642, q_gen_2600) -> q_gen_2659
<s, cons, cons>(q_gen_2608, q_gen_2650) -> q_gen_2660
<s, cons, cons>(q_gen_2615, q_gen_2629) -> q_gen_2661
<s, cons, cons>(q_gen_2615, q_gen_2663) -> q_gen_2662
<s, cons, cons>(q_gen_2647, q_gen_2664) -> q_gen_2663
<s, cons, cons>(q_gen_2615, q_gen_2623) -> q_gen_2664
<s, cons, cons>(q_gen_2642, q_gen_2666) -> q_gen_2664
<z, cons, cons>(q_gen_2642, q_gen_2607) -> q_gen_2664
<s, cons, cons>(q_gen_2647, q_gen_2667) -> q_gen_2666
<s, cons, cons>(q_gen_2615, q_gen_2621) -> q_gen_2667
<s, cons, cons>(q_gen_2608, q_gen_2669) -> q_gen_2668
<s, cons, cons>(q_gen_2647, q_gen_2600) -> q_gen_2669
<s, cons, cons>(q_gen_2615, q_gen_2672) -> q_gen_2671
<s, cons, cons>(q_gen_2647, q_gen_2673) -> q_gen_2672
<s, cons, nil>(q_gen_2605, q_gen_2657) -> q_gen_2673
<s, cons, cons>(q_gen_2647, q_gen_2623) -> q_gen_2675
<s, cons, cons>(q_gen_2608, q_gen_2661) -> q_gen_2676
<s, cons, cons>(q_gen_2608, q_gen_2677) -> q_gen_2677
<s, cons, cons>(q_gen_2642, q_gen_2650) -> q_gen_2677
<s, cons, cons>(q_gen_2642, q_gen_2669) -> q_gen_2677
<s, cons, nil>(q_gen_2605, q_gen_2684) -> q_gen_2683
<s, cons, cons>(q_gen_2642, q_gen_2673) -> q_gen_2685
<s, cons, cons>(q_gen_2615, q_gen_2683) -> q_gen_2686
<s, cons, cons>(q_gen_2642, q_gen_2646) -> q_gen_2688
<s, cons, cons>(q_gen_2642, q_gen_2691) -> q_gen_2690
<s, cons, nil>(q_gen_2612, q_gen_2684) -> q_gen_2690
<s, cons, cons>(q_gen_2615, q_gen_2675) -> q_gen_2691
<s, cons, nil>(q_gen_2612, q_gen_2630) -> q_gen_2691
<s, cons, cons>(q_gen_2615, q_gen_2694) -> q_gen_2693
<s, cons, cons>(q_gen_2642, q_gen_2623) -> q_gen_2693
<s, cons, cons>(q_gen_2647, q_gen_2601) -> q_gen_2693
<s, cons, cons>(q_gen_2647, q_gen_2625) -> q_gen_2693
<s, cons, cons>(q_gen_2608, q_gen_2664) -> q_gen_2694
<s, cons, cons>(q_gen_2608, q_gen_2675) -> q_gen_2694
<s, cons, cons>(q_gen_2608, q_gen_2694) -> q_gen_2694
<s, cons, cons>(q_gen_2615, q_gen_2641) -> q_gen_2694
<s, cons, cons>(q_gen_2615, q_gen_2664) -> q_gen_2694
<s, cons, cons>(q_gen_2615, q_gen_2693) -> q_gen_2694
<s, cons, cons>(q_gen_2642, q_gen_2645) -> q_gen_2694
<s, cons, cons>(q_gen_2642, q_gen_2660) -> q_gen_2694
<s, cons, cons>(q_gen_2642, q_gen_2661) -> q_gen_2694
<s, cons, cons>(q_gen_2642, q_gen_2664) -> q_gen_2694
<s, cons, cons>(q_gen_2642, q_gen_2667) -> q_gen_2694
<s, cons, cons>(q_gen_2642, q_gen_2693) -> q_gen_2694
<s, cons, cons>(q_gen_2642, q_gen_2694) -> q_gen_2694
<s, cons, cons>(q_gen_2647, q_gen_2629) -> q_gen_2694
<s, cons, cons>(q_gen_2647, q_gen_2641) -> q_gen_2694
<s, cons, cons>(q_gen_2647, q_gen_2693) -> q_gen_2694
<s, cons, cons>(q_gen_2647, q_gen_2694) -> q_gen_2694
}

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

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

Teacher's answer:
New clause system:
{
() -> drop([s(u), nil, nil]) -> 75
() -> drop([z, l, l]) -> 80
(drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]) -> 109
(drop([u, x3, _um])) -> drop([s(u), cons(x2, x3), _um]) -> 112
}
Sat witness: Found: ((drop([n, l1, _an]) /\ drop([s(n), cons(x, l1), _zm])) -> eq_eltlist([_zm, _an]), {
_an -> cons(a, nil)  ;  _zm -> nil  ;  l1 -> cons(a, nil)  ;  n -> z  ;  x -> b
})

Total time: 65.278225
Reason for stopping: DontKnow. Stopped because: timeout