%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HWV008-2.001 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:58:04 EDT 2022
% Result : Unsatisfiable 1.66s 1.87s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of clauses : 69 ( 44 unt; 2 nHn; 69 RR)
% Number of literals : 103 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(2,axiom,
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(3,axiom,
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(5,axiom,
( ~ zero(A)
| ~ one(A) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(6,axiom,
( ~ and_ok(A)
| ~ zero(in1(A))
| zero(out1(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(7,axiom,
( ~ and_ok(A)
| ~ zero(in2(A))
| zero(out1(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(13,axiom,
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(16,axiom,
( ~ or_ok(A)
| ~ zero(in1(A))
| ~ zero(in2(A))
| zero(out1(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(21,axiom,
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(29,axiom,
( ~ halfadder(A)
| logic_and(and2(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(34,axiom,
( ~ halfadder(A)
| connection(in1(A),in1(and2(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(35,axiom,
( ~ halfadder(A)
| connection(in2(A),in2(and2(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(37,axiom,
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(41,axiom,
( ~ fulladder(A)
| halfadder(h1(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(42,axiom,
( ~ fulladder(A)
| halfadder(h2(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(43,axiom,
( ~ fulladder(A)
| logic_or(or1(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(45,axiom,
( ~ fulladder(A)
| connection(outc(h1(A)),in2(or1(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(46,axiom,
( ~ fulladder(A)
| connection(outc(h2(A)),in1(or1(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(47,axiom,
( ~ fulladder(A)
| connection(in1(A),in1(h2(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(49,axiom,
( ~ fulladder(A)
| connection(inc(A),in2(h1(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(51,axiom,
( ~ fulladder(A)
| connection(outc(A),out1(or1(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(52,axiom,
( ~ nbit_adder1(A)
| fulladder(f1(A)) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(54,axiom,
( ~ nbit_adder1(A)
| connection(outc(A),outc(f1(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(55,axiom,
( ~ nbit_adder1(A)
| connection(ina1(A),in1(f1(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(57,axiom,
( ~ nbit_adder1(A)
| connection(inc(A),inc(f1(A))) ),
file('HWV008-2.001.p',unknown),
[] ).
cnf(58,axiom,
~ abnormal(or1(f1(a))),
file('HWV008-2.001.p',unknown),
[] ).
cnf(59,axiom,
~ abnormal(and2(h1(f1(a)))),
file('HWV008-2.001.p',unknown),
[] ).
cnf(60,axiom,
~ abnormal(and2(h2(f1(a)))),
file('HWV008-2.001.p',unknown),
[] ).
cnf(61,axiom,
nbit_adder1(a),
file('HWV008-2.001.p',unknown),
[] ).
cnf(62,axiom,
zero(ina1(a)),
file('HWV008-2.001.p',unknown),
[] ).
cnf(64,axiom,
zero(inc(a)),
file('HWV008-2.001.p',unknown),
[] ).
cnf(66,axiom,
one(outc(a)),
file('HWV008-2.001.p',unknown),
[] ).
cnf(67,plain,
connection(inc(a),inc(f1(a))),
inference(hyper,[status(thm)],[61,57]),
[iquote('hyper,61,57')] ).
cnf(69,plain,
connection(ina1(a),in1(f1(a))),
inference(hyper,[status(thm)],[61,55]),
[iquote('hyper,61,55')] ).
cnf(70,plain,
connection(outc(a),outc(f1(a))),
inference(hyper,[status(thm)],[61,54]),
[iquote('hyper,61,54')] ).
cnf(72,plain,
fulladder(f1(a)),
inference(hyper,[status(thm)],[61,52]),
[iquote('hyper,61,52')] ).
cnf(73,plain,
connection(outc(f1(a)),out1(or1(f1(a)))),
inference(hyper,[status(thm)],[72,51]),
[iquote('hyper,72,51')] ).
cnf(75,plain,
connection(inc(f1(a)),in2(h1(f1(a)))),
inference(hyper,[status(thm)],[72,49]),
[iquote('hyper,72,49')] ).
cnf(77,plain,
connection(in1(f1(a)),in1(h2(f1(a)))),
inference(hyper,[status(thm)],[72,47]),
[iquote('hyper,72,47')] ).
cnf(78,plain,
connection(outc(h2(f1(a))),in1(or1(f1(a)))),
inference(hyper,[status(thm)],[72,46]),
[iquote('hyper,72,46')] ).
cnf(79,plain,
connection(outc(h1(f1(a))),in2(or1(f1(a)))),
inference(hyper,[status(thm)],[72,45]),
[iquote('hyper,72,45')] ).
cnf(81,plain,
logic_or(or1(f1(a))),
inference(hyper,[status(thm)],[72,43]),
[iquote('hyper,72,43')] ).
cnf(82,plain,
halfadder(h2(f1(a))),
inference(hyper,[status(thm)],[72,42]),
[iquote('hyper,72,42')] ).
cnf(83,plain,
halfadder(h1(f1(a))),
inference(hyper,[status(thm)],[72,41]),
[iquote('hyper,72,41')] ).
cnf(84,plain,
or_ok(or1(f1(a))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[81,21]),58]),
[iquote('hyper,81,21,unit_del,58')] ).
cnf(88,plain,
connection(outc(h2(f1(a))),out1(and2(h2(f1(a))))),
inference(hyper,[status(thm)],[82,37]),
[iquote('hyper,82,37')] ).
cnf(91,plain,
connection(in1(h2(f1(a))),in1(and2(h2(f1(a))))),
inference(hyper,[status(thm)],[82,34]),
[iquote('hyper,82,34')] ).
cnf(96,plain,
logic_and(and2(h2(f1(a)))),
inference(hyper,[status(thm)],[82,29]),
[iquote('hyper,82,29')] ).
cnf(101,plain,
connection(outc(h1(f1(a))),out1(and2(h1(f1(a))))),
inference(hyper,[status(thm)],[83,37]),
[iquote('hyper,83,37')] ).
cnf(103,plain,
connection(in2(h1(f1(a))),in2(and2(h1(f1(a))))),
inference(hyper,[status(thm)],[83,35]),
[iquote('hyper,83,35')] ).
cnf(109,plain,
logic_and(and2(h1(f1(a)))),
inference(hyper,[status(thm)],[83,29]),
[iquote('hyper,83,29')] ).
cnf(111,plain,
zero(inc(f1(a))),
inference(hyper,[status(thm)],[67,1,64]),
[iquote('hyper,67,1,64')] ).
cnf(115,plain,
and_ok(and2(h2(f1(a)))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[96,13]),60]),
[iquote('hyper,96,13,unit_del,60')] ).
cnf(118,plain,
zero(in1(f1(a))),
inference(hyper,[status(thm)],[69,1,62]),
[iquote('hyper,69,1,62')] ).
cnf(120,plain,
and_ok(and2(h1(f1(a)))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[109,13]),59]),
[iquote('hyper,109,13,unit_del,59')] ).
cnf(122,plain,
one(outc(f1(a))),
inference(hyper,[status(thm)],[70,2,66]),
[iquote('hyper,70,2,66')] ).
cnf(124,plain,
one(out1(or1(f1(a)))),
inference(hyper,[status(thm)],[73,2,122]),
[iquote('hyper,73,2,122')] ).
cnf(127,plain,
zero(in2(h1(f1(a)))),
inference(hyper,[status(thm)],[75,1,111]),
[iquote('hyper,75,1,111')] ).
cnf(129,plain,
zero(in1(h2(f1(a)))),
inference(hyper,[status(thm)],[77,1,118]),
[iquote('hyper,77,1,118')] ).
cnf(131,plain,
zero(in1(and2(h2(f1(a))))),
inference(hyper,[status(thm)],[91,1,129]),
[iquote('hyper,91,1,129')] ).
cnf(132,plain,
zero(out1(and2(h2(f1(a))))),
inference(hyper,[status(thm)],[131,6,115]),
[iquote('hyper,131,6,115')] ).
cnf(133,plain,
zero(outc(h2(f1(a)))),
inference(hyper,[status(thm)],[132,3,88]),
[iquote('hyper,132,3,88')] ).
cnf(135,plain,
zero(in1(or1(f1(a)))),
inference(hyper,[status(thm)],[133,1,78]),
[iquote('hyper,133,1,78')] ).
cnf(137,plain,
zero(in2(and2(h1(f1(a))))),
inference(hyper,[status(thm)],[103,1,127]),
[iquote('hyper,103,1,127')] ).
cnf(138,plain,
zero(out1(and2(h1(f1(a))))),
inference(hyper,[status(thm)],[137,7,120]),
[iquote('hyper,137,7,120')] ).
cnf(139,plain,
zero(outc(h1(f1(a)))),
inference(hyper,[status(thm)],[138,3,101]),
[iquote('hyper,138,3,101')] ).
cnf(141,plain,
zero(in2(or1(f1(a)))),
inference(hyper,[status(thm)],[139,1,79]),
[iquote('hyper,139,1,79')] ).
cnf(142,plain,
zero(out1(or1(f1(a)))),
inference(hyper,[status(thm)],[141,16,84,135]),
[iquote('hyper,141,16,84,135')] ).
cnf(143,plain,
$false,
inference(hyper,[status(thm)],[142,5,124]),
[iquote('hyper,142,5,124')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV008-2.001 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Jul 27 06:36:25 EDT 2022
% 0.14/0.33 % CPUTime :
% 1.66/1.87 ----- Otter 3.3f, August 2004 -----
% 1.66/1.87 The process was started by sandbox2 on n010.cluster.edu,
% 1.66/1.87 Wed Jul 27 06:36:25 2022
% 1.66/1.87 The command was "./otter". The process ID is 14559.
% 1.66/1.87
% 1.66/1.87 set(prolog_style_variables).
% 1.66/1.87 set(auto).
% 1.66/1.87 dependent: set(auto1).
% 1.66/1.87 dependent: set(process_input).
% 1.66/1.87 dependent: clear(print_kept).
% 1.66/1.87 dependent: clear(print_new_demod).
% 1.66/1.87 dependent: clear(print_back_demod).
% 1.66/1.87 dependent: clear(print_back_sub).
% 1.66/1.87 dependent: set(control_memory).
% 1.66/1.87 dependent: assign(max_mem, 12000).
% 1.66/1.87 dependent: assign(pick_given_ratio, 4).
% 1.66/1.87 dependent: assign(stats_level, 1).
% 1.66/1.87 dependent: assign(max_seconds, 10800).
% 1.66/1.87 clear(print_given).
% 1.66/1.87
% 1.66/1.87 list(usable).
% 1.66/1.87 0 [] -connection(P1,P2)| -zero(P1)|zero(P2).
% 1.66/1.87 0 [] -connection(P1,P2)| -one(P1)|one(P2).
% 1.66/1.87 0 [] -connection(P1,P2)| -zero(P2)|zero(P1).
% 1.66/1.87 0 [] -connection(P1,P2)| -one(P2)|one(P1).
% 1.66/1.87 0 [] -zero(P)| -one(P).
% 1.66/1.87 0 [] -and_ok(K)| -zero(in1(K))|zero(out1(K)).
% 1.66/1.87 0 [] -and_ok(K)| -zero(in2(K))|zero(out1(K)).
% 1.66/1.87 0 [] -and_ok(K)| -one(in1(K))| -one(in2(K))|one(out1(K)).
% 1.66/1.87 0 [] -and_ok(K)| -zero(out1(K))|zero(in1(K))|zero(in2(K)).
% 1.66/1.87 0 [] -and_ok(K)| -one(out1(K))|one(in1(K)).
% 1.66/1.87 0 [] -and_ok(K)| -one(out1(K))|one(in2(K)).
% 1.66/1.87 0 [] -and_ok(K)| -abnormal(K).
% 1.66/1.87 0 [] -logic_and(K)|and_ok(K)|abnormal(K).
% 1.66/1.87 0 [] -or_ok(K)| -one(in1(K))|one(out1(K)).
% 1.66/1.87 0 [] -or_ok(K)| -one(in2(K))|one(out1(K)).
% 1.66/1.87 0 [] -or_ok(K)| -zero(in1(K))| -zero(in2(K))|zero(out1(K)).
% 1.66/1.87 0 [] -or_ok(K)| -one(out1(K))|one(in1(K))|one(in2(K)).
% 1.66/1.87 0 [] -or_ok(K)| -zero(out1(K))|zero(in1(K)).
% 1.66/1.87 0 [] -or_ok(K)| -zero(out1(K))|zero(in2(K)).
% 1.66/1.87 0 [] -or_ok(K)| -abnormal(K).
% 1.66/1.87 0 [] -logic_or(K)|or_ok(K)|abnormal(K).
% 1.66/1.87 0 [] -not_ok(K)| -zero(in1(K))|one(out1(K)).
% 1.66/1.87 0 [] -not_ok(K)| -one(in1(K))|zero(out1(K)).
% 1.66/1.87 0 [] -not_ok(K)| -zero(out1(K))|one(in1(K)).
% 1.66/1.87 0 [] -not_ok(K)| -one(out1(K))|zero(in1(K)).
% 1.66/1.87 0 [] -not_ok(K)| -abnormal(K).
% 1.66/1.87 0 [] -logic_not(K)|not_ok(K)|abnormal(K).
% 1.66/1.87 0 [] -halfadder(X)|logic_and(and1(X)).
% 1.66/1.87 0 [] -halfadder(X)|logic_and(and2(X)).
% 1.66/1.87 0 [] -halfadder(X)|logic_not(not1(X)).
% 1.66/1.87 0 [] -halfadder(X)|logic_or(or1(X)).
% 1.66/1.87 0 [] -halfadder(X)|connection(in1(X),in1(or1(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(in2(X),in2(or1(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(in1(X),in1(and2(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(in2(X),in2(and2(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(outs(X),out1(and1(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(outc(X),out1(and2(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(out1(or1(X)),in1(and1(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(out1(and2(X)),in1(not1(X))).
% 1.66/1.87 0 [] -halfadder(X)|connection(out1(not1(X)),in2(and1(X))).
% 1.66/1.87 0 [] -fulladder(X)|halfadder(h1(X)).
% 1.66/1.87 0 [] -fulladder(X)|halfadder(h2(X)).
% 1.66/1.87 0 [] -fulladder(X)|logic_or(or1(X)).
% 1.66/1.87 0 [] -fulladder(X)|connection(outs(h1(X)),in2(h2(X))).
% 1.66/1.87 0 [] -fulladder(X)|connection(outc(h1(X)),in2(or1(X))).
% 1.66/1.87 0 [] -fulladder(X)|connection(outc(h2(X)),in1(or1(X))).
% 1.66/1.87 0 [] -fulladder(X)|connection(in1(X),in1(h2(X))).
% 1.66/1.87 0 [] -fulladder(X)|connection(in2(X),in1(h1(X))).
% 1.66/1.87 0 [] -fulladder(X)|connection(inc(X),in2(h1(X))).
% 1.66/1.87 0 [] -fulladder(X)|connection(outs(X),outs(h2(X))).
% 1.66/1.87 0 [] -fulladder(X)|connection(outc(X),out1(or1(X))).
% 1.66/1.87 0 [] -nbit_adder1(X)|fulladder(f1(X)).
% 1.66/1.87 0 [] -nbit_adder1(X)|connection(out1(X),outs(f1(X))).
% 1.66/1.87 0 [] -nbit_adder1(X)|connection(outc(X),outc(f1(X))).
% 1.66/1.87 0 [] -nbit_adder1(X)|connection(ina1(X),in1(f1(X))).
% 1.66/1.87 0 [] -nbit_adder1(X)|connection(inb1(X),in2(f1(X))).
% 1.66/1.87 0 [] -nbit_adder1(X)|connection(inc(X),inc(f1(X))).
% 1.66/1.87 0 [] nbit_adder1(a).
% 1.66/1.87 0 [] zero(ina1(a)).
% 1.66/1.87 0 [] zero(inb1(a)).
% 1.66/1.87 0 [] zero(inc(a)).
% 1.66/1.87 0 [] zero(out1(a)).
% 1.66/1.87 0 [] one(outc(a)).
% 1.66/1.87 0 [] -abnormal(or1(f1(a))).
% 1.66/1.87 0 [] -abnormal(and2(h1(f1(a)))).
% 1.66/1.87 0 [] -abnormal(and2(h2(f1(a)))).
% 1.66/1.87 end_of_list.
% 1.66/1.87
% 1.66/1.87 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.66/1.87
% 1.66/1.87 This is a non-Horn set without equality. The strategy will
% 1.66/1.87 be ordered hyper_res, unit deletion, and factoring, with
% 1.66/1.87 satellites in sos and with nuclei in usable.
% 1.66/1.87
% 1.66/1.87 dependent: set(hyper_res).
% 1.66/1.87 dependent: set(factor).
% 1.66/1.87 dependent: set(unit_deletion).
% 1.66/1.87
% 1.66/1.87 ------------> process usable:
% 1.66/1.87 ** KEPT (pick-wt=7): 1 [] -connection(A,B)| -zero(A)|zero(B).
% 1.66/1.87 ** KEPT (pick-wt=7): 2 [] -connection(A,B)| -one(A)|one(B).
% 1.66/1.87 ** KEPT (pick-wt=7): 3 [] -connection(A,B)| -zero(B)|zero(A).
% 1.66/1.87 ** KEPT (pick-wt=7): 4 [] -connection(A,B)| -one(B)|one(A).
% 1.66/1.87 ** KEPT (pick-wt=4): 5 [] -zero(A)| -one(A).
% 1.66/1.87 ** KEPT (pick-wt=8): 6 [] -and_ok(A)| -zero(in1(A))|zero(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 7 [] -and_ok(A)| -zero(in2(A))|zero(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=11): 8 [] -and_ok(A)| -one(in1(A))| -one(in2(A))|one(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=11): 9 [] -and_ok(A)| -zero(out1(A))|zero(in1(A))|zero(in2(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 10 [] -and_ok(A)| -one(out1(A))|one(in1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 11 [] -and_ok(A)| -one(out1(A))|one(in2(A)).
% 1.66/1.87 ** KEPT (pick-wt=4): 12 [] -and_ok(A)| -abnormal(A).
% 1.66/1.87 ** KEPT (pick-wt=6): 13 [] -logic_and(A)|and_ok(A)|abnormal(A).
% 1.66/1.87 ** KEPT (pick-wt=8): 14 [] -or_ok(A)| -one(in1(A))|one(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 15 [] -or_ok(A)| -one(in2(A))|one(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=11): 16 [] -or_ok(A)| -zero(in1(A))| -zero(in2(A))|zero(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=11): 17 [] -or_ok(A)| -one(out1(A))|one(in1(A))|one(in2(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 18 [] -or_ok(A)| -zero(out1(A))|zero(in1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 19 [] -or_ok(A)| -zero(out1(A))|zero(in2(A)).
% 1.66/1.87 ** KEPT (pick-wt=4): 20 [] -or_ok(A)| -abnormal(A).
% 1.66/1.87 ** KEPT (pick-wt=6): 21 [] -logic_or(A)|or_ok(A)|abnormal(A).
% 1.66/1.87 ** KEPT (pick-wt=8): 22 [] -not_ok(A)| -zero(in1(A))|one(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 23 [] -not_ok(A)| -one(in1(A))|zero(out1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 24 [] -not_ok(A)| -zero(out1(A))|one(in1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 25 [] -not_ok(A)| -one(out1(A))|zero(in1(A)).
% 1.66/1.87 ** KEPT (pick-wt=4): 26 [] -not_ok(A)| -abnormal(A).
% 1.66/1.87 ** KEPT (pick-wt=6): 27 [] -logic_not(A)|not_ok(A)|abnormal(A).
% 1.66/1.87 ** KEPT (pick-wt=5): 28 [] -halfadder(A)|logic_and(and1(A)).
% 1.66/1.87 ** KEPT (pick-wt=5): 29 [] -halfadder(A)|logic_and(and2(A)).
% 1.66/1.87 ** KEPT (pick-wt=5): 30 [] -halfadder(A)|logic_not(not1(A)).
% 1.66/1.87 ** KEPT (pick-wt=5): 31 [] -halfadder(A)|logic_or(or1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 32 [] -halfadder(A)|connection(in1(A),in1(or1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 33 [] -halfadder(A)|connection(in2(A),in2(or1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 34 [] -halfadder(A)|connection(in1(A),in1(and2(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 35 [] -halfadder(A)|connection(in2(A),in2(and2(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 36 [] -halfadder(A)|connection(outs(A),out1(and1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 37 [] -halfadder(A)|connection(outc(A),out1(and2(A))).
% 1.66/1.87 ** KEPT (pick-wt=9): 38 [] -halfadder(A)|connection(out1(or1(A)),in1(and1(A))).
% 1.66/1.87 ** KEPT (pick-wt=9): 39 [] -halfadder(A)|connection(out1(and2(A)),in1(not1(A))).
% 1.66/1.87 ** KEPT (pick-wt=9): 40 [] -halfadder(A)|connection(out1(not1(A)),in2(and1(A))).
% 1.66/1.87 ** KEPT (pick-wt=5): 41 [] -fulladder(A)|halfadder(h1(A)).
% 1.66/1.87 ** KEPT (pick-wt=5): 42 [] -fulladder(A)|halfadder(h2(A)).
% 1.66/1.87 ** KEPT (pick-wt=5): 43 [] -fulladder(A)|logic_or(or1(A)).
% 1.66/1.87 ** KEPT (pick-wt=9): 44 [] -fulladder(A)|connection(outs(h1(A)),in2(h2(A))).
% 1.66/1.87 ** KEPT (pick-wt=9): 45 [] -fulladder(A)|connection(outc(h1(A)),in2(or1(A))).
% 1.66/1.87 ** KEPT (pick-wt=9): 46 [] -fulladder(A)|connection(outc(h2(A)),in1(or1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 47 [] -fulladder(A)|connection(in1(A),in1(h2(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 48 [] -fulladder(A)|connection(in2(A),in1(h1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 49 [] -fulladder(A)|connection(inc(A),in2(h1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 50 [] -fulladder(A)|connection(outs(A),outs(h2(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 51 [] -fulladder(A)|connection(outc(A),out1(or1(A))).
% 1.66/1.87 ** KEPT (pick-wt=5): 52 [] -nbit_adder1(A)|fulladder(f1(A)).
% 1.66/1.87 ** KEPT (pick-wt=8): 53 [] -nbit_adder1(A)|connection(out1(A),outs(f1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 54 [] -nbit_adder1(A)|connection(outc(A),outc(f1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 55 [] -nbit_adder1(A)|connection(ina1(A),in1(f1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 56 [] -nbit_adder1(A)|connection(inb1(A),in2(f1(A))).
% 1.66/1.87 ** KEPT (pick-wt=8): 57 [] -nbit_adder1(A)|connection(inc(A),inc(f1(A))).
% 1.66/1.87 ** KEPT (pick-wt=4): 58 [] -abnormal(or1(f1(a))).
% 1.66/1.87 ** KEPT (pick-wt=5): 59 [] -abnormal(and2(h1(f1(a)))).
% 1.66/1.87 ** KEPT (pick-wt=5): 60 [] -abnormal(and2(h2(f1(a)))).
% 1.66/1.87
% 1.66/1.87 ------------> process sos:
% 1.66/1.87 ** KEPT (pick-wt=2): 61 [] nbit_adder1(a).
% 1.66/1.87 ** KEPT (pick-wt=3): 62 [] zero(ina1(a)).
% 1.66/1.87 ** KEPT (pick-wt=3): 63 [] zero(inb1(a)).
% 1.66/1.87 ** KEPT (pick-wt=3): 64 [] zero(inc(a)).
% 1.66/1.87 ** KEPT (pick-wt=3): 65 [] zero(out1(a)).
% 1.66/1.87 ** KEPT (pick-wt=3): 66 [] one(outc(a)).
% 1.66/1.87
% 1.66/1.87 ======= end of input processing =======
% 1.66/1.87
% 1.66/1.87 =========== start of search ===========
% 1.66/1.87
% 1.66/1.87 -------- PROOF --------
% 1.66/1.87
% 1.66/1.87 -----> EMPTY CLAUSE at 0.00 sec ----> 143 [hyper,142,5,124] $F.
% 1.66/1.87
% 1.66/1.87 Length of proof is 36. Level of proof is 8.
% 1.66/1.87
% 1.66/1.87 ---------------- PROOF ----------------
% 1.66/1.87 % SZS status Unsatisfiable
% 1.66/1.87 % SZS output start Refutation
% See solution above
% 1.66/1.87 ------------ end of proof -------------
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87 ============ end of search ============
% 1.66/1.87
% 1.66/1.87 -------------- statistics -------------
% 1.66/1.87 clauses given 70
% 1.66/1.87 clauses generated 100
% 1.66/1.87 clauses kept 142
% 1.66/1.87 clauses forward subsumed 23
% 1.66/1.87 clauses back subsumed 0
% 1.66/1.87 Kbytes malloced 1953
% 1.66/1.87
% 1.66/1.87 ----------- times (seconds) -----------
% 1.66/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.66/1.87
% 1.66/1.87 That finishes the proof of the theorem.
% 1.66/1.87
% 1.66/1.87 Process 14559 finished Wed Jul 27 06:36:26 2022
% 1.66/1.87 Otter interrupted
% 1.66/1.87 PROOF FOUND
%------------------------------------------------------------------------------