TSTP Solution File: HWV008-2.002 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HWV008-2.002 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 2.01s 2.19s
% Output : Refutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 30
% Syntax : Number of clauses : 67 ( 44 unt; 2 nHn; 67 RR)
% Number of literals : 98 ( 0 equ; 33 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 : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ connection(A,B)
| ~ zero(A)
| zero(B) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(2,axiom,
( ~ connection(A,B)
| ~ one(A)
| one(B) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(3,axiom,
( ~ connection(A,B)
| ~ zero(B)
| zero(A) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(5,axiom,
( ~ zero(A)
| ~ one(A) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(6,axiom,
( ~ and_ok(A)
| ~ zero(in1(A))
| zero(out1(A)) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(13,axiom,
( ~ logic_and(A)
| and_ok(A)
| abnormal(A) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(16,axiom,
( ~ or_ok(A)
| ~ zero(in1(A))
| ~ zero(in2(A))
| zero(out1(A)) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(21,axiom,
( ~ logic_or(A)
| or_ok(A)
| abnormal(A) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(29,axiom,
( ~ halfadder(A)
| logic_and(and2(A)) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(34,axiom,
( ~ halfadder(A)
| connection(in1(A),in1(and2(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(37,axiom,
( ~ halfadder(A)
| connection(outc(A),out1(and2(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(41,axiom,
( ~ fulladder(A)
| halfadder(h1(A)) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(42,axiom,
( ~ fulladder(A)
| halfadder(h2(A)) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(43,axiom,
( ~ fulladder(A)
| logic_or(or1(A)) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(45,axiom,
( ~ fulladder(A)
| connection(outc(h1(A)),in2(or1(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(46,axiom,
( ~ fulladder(A)
| connection(outc(h2(A)),in1(or1(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(47,axiom,
( ~ fulladder(A)
| connection(in1(A),in1(h2(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(48,axiom,
( ~ fulladder(A)
| connection(in2(A),in1(h1(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(51,axiom,
( ~ fulladder(A)
| connection(outc(A),out1(or1(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(53,axiom,
( ~ nbit_adder2(A)
| fulladder(f2(A)) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(56,axiom,
( ~ nbit_adder2(A)
| connection(outc(A),outc(f2(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(59,axiom,
( ~ nbit_adder2(A)
| connection(ina2(A),in1(f2(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(60,axiom,
( ~ nbit_adder2(A)
| connection(inb2(A),in2(f2(A))) ),
file('HWV008-2.002.p',unknown),
[] ).
cnf(63,axiom,
~ abnormal(or1(f2(a))),
file('HWV008-2.002.p',unknown),
[] ).
cnf(64,axiom,
~ abnormal(and2(h1(f2(a)))),
file('HWV008-2.002.p',unknown),
[] ).
cnf(65,axiom,
~ abnormal(and2(h2(f2(a)))),
file('HWV008-2.002.p',unknown),
[] ).
cnf(66,axiom,
nbit_adder2(a),
file('HWV008-2.002.p',unknown),
[] ).
cnf(68,axiom,
zero(ina2(a)),
file('HWV008-2.002.p',unknown),
[] ).
cnf(70,axiom,
zero(inb2(a)),
file('HWV008-2.002.p',unknown),
[] ).
cnf(74,axiom,
one(outc(a)),
file('HWV008-2.002.p',unknown),
[] ).
cnf(77,plain,
connection(inb2(a),in2(f2(a))),
inference(hyper,[status(thm)],[66,60]),
[iquote('hyper,66,60')] ).
cnf(78,plain,
connection(ina2(a),in1(f2(a))),
inference(hyper,[status(thm)],[66,59]),
[iquote('hyper,66,59')] ).
cnf(81,plain,
connection(outc(a),outc(f2(a))),
inference(hyper,[status(thm)],[66,56]),
[iquote('hyper,66,56')] ).
cnf(84,plain,
fulladder(f2(a)),
inference(hyper,[status(thm)],[66,53]),
[iquote('hyper,66,53')] ).
cnf(86,plain,
connection(outc(f2(a)),out1(or1(f2(a)))),
inference(hyper,[status(thm)],[84,51]),
[iquote('hyper,84,51')] ).
cnf(89,plain,
connection(in2(f2(a)),in1(h1(f2(a)))),
inference(hyper,[status(thm)],[84,48]),
[iquote('hyper,84,48')] ).
cnf(90,plain,
connection(in1(f2(a)),in1(h2(f2(a)))),
inference(hyper,[status(thm)],[84,47]),
[iquote('hyper,84,47')] ).
cnf(91,plain,
connection(outc(h2(f2(a))),in1(or1(f2(a)))),
inference(hyper,[status(thm)],[84,46]),
[iquote('hyper,84,46')] ).
cnf(92,plain,
connection(outc(h1(f2(a))),in2(or1(f2(a)))),
inference(hyper,[status(thm)],[84,45]),
[iquote('hyper,84,45')] ).
cnf(94,plain,
logic_or(or1(f2(a))),
inference(hyper,[status(thm)],[84,43]),
[iquote('hyper,84,43')] ).
cnf(95,plain,
halfadder(h2(f2(a))),
inference(hyper,[status(thm)],[84,42]),
[iquote('hyper,84,42')] ).
cnf(96,plain,
halfadder(h1(f2(a))),
inference(hyper,[status(thm)],[84,41]),
[iquote('hyper,84,41')] ).
cnf(109,plain,
or_ok(or1(f2(a))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[94,21]),63]),
[iquote('hyper,94,21,unit_del,63')] ).
cnf(113,plain,
connection(outc(h2(f2(a))),out1(and2(h2(f2(a))))),
inference(hyper,[status(thm)],[95,37]),
[iquote('hyper,95,37')] ).
cnf(116,plain,
connection(in1(h2(f2(a))),in1(and2(h2(f2(a))))),
inference(hyper,[status(thm)],[95,34]),
[iquote('hyper,95,34')] ).
cnf(121,plain,
logic_and(and2(h2(f2(a)))),
inference(hyper,[status(thm)],[95,29]),
[iquote('hyper,95,29')] ).
cnf(126,plain,
connection(outc(h1(f2(a))),out1(and2(h1(f2(a))))),
inference(hyper,[status(thm)],[96,37]),
[iquote('hyper,96,37')] ).
cnf(129,plain,
connection(in1(h1(f2(a))),in1(and2(h1(f2(a))))),
inference(hyper,[status(thm)],[96,34]),
[iquote('hyper,96,34')] ).
cnf(134,plain,
logic_and(and2(h1(f2(a)))),
inference(hyper,[status(thm)],[96,29]),
[iquote('hyper,96,29')] ).
cnf(163,plain,
zero(in2(f2(a))),
inference(hyper,[status(thm)],[77,1,70]),
[iquote('hyper,77,1,70')] ).
cnf(166,plain,
zero(in1(f2(a))),
inference(hyper,[status(thm)],[78,1,68]),
[iquote('hyper,78,1,68')] ).
cnf(167,plain,
and_ok(and2(h2(f2(a)))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[121,13]),65]),
[iquote('hyper,121,13,unit_del,65')] ).
cnf(172,plain,
and_ok(and2(h1(f2(a)))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[134,13]),64]),
[iquote('hyper,134,13,unit_del,64')] ).
cnf(178,plain,
one(outc(f2(a))),
inference(hyper,[status(thm)],[81,2,74]),
[iquote('hyper,81,2,74')] ).
cnf(186,plain,
one(out1(or1(f2(a)))),
inference(hyper,[status(thm)],[86,2,178]),
[iquote('hyper,86,2,178')] ).
cnf(188,plain,
zero(in1(h1(f2(a)))),
inference(hyper,[status(thm)],[89,1,163]),
[iquote('hyper,89,1,163')] ).
cnf(189,plain,
zero(in1(h2(f2(a)))),
inference(hyper,[status(thm)],[90,1,166]),
[iquote('hyper,90,1,166')] ).
cnf(193,plain,
zero(in1(and2(h2(f2(a))))),
inference(hyper,[status(thm)],[116,1,189]),
[iquote('hyper,116,1,189')] ).
cnf(194,plain,
zero(out1(and2(h2(f2(a))))),
inference(hyper,[status(thm)],[193,6,167]),
[iquote('hyper,193,6,167')] ).
cnf(195,plain,
zero(outc(h2(f2(a)))),
inference(hyper,[status(thm)],[194,3,113]),
[iquote('hyper,194,3,113')] ).
cnf(196,plain,
zero(in1(or1(f2(a)))),
inference(hyper,[status(thm)],[195,1,91]),
[iquote('hyper,195,1,91')] ).
cnf(199,plain,
zero(in1(and2(h1(f2(a))))),
inference(hyper,[status(thm)],[129,1,188]),
[iquote('hyper,129,1,188')] ).
cnf(200,plain,
zero(out1(and2(h1(f2(a))))),
inference(hyper,[status(thm)],[199,6,172]),
[iquote('hyper,199,6,172')] ).
cnf(201,plain,
zero(outc(h1(f2(a)))),
inference(hyper,[status(thm)],[200,3,126]),
[iquote('hyper,200,3,126')] ).
cnf(202,plain,
zero(in2(or1(f2(a)))),
inference(hyper,[status(thm)],[201,1,92]),
[iquote('hyper,201,1,92')] ).
cnf(203,plain,
zero(out1(or1(f2(a)))),
inference(hyper,[status(thm)],[202,16,109,196]),
[iquote('hyper,202,16,109,196')] ).
cnf(205,plain,
$false,
inference(hyper,[status(thm)],[203,5,186]),
[iquote('hyper,203,5,186')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HWV008-2.002 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:03:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.01/2.19 ----- Otter 3.3f, August 2004 -----
% 2.01/2.19 The process was started by sandbox2 on n023.cluster.edu,
% 2.01/2.19 Wed Jul 27 07:03:18 2022
% 2.01/2.19 The command was "./otter". The process ID is 30141.
% 2.01/2.19
% 2.01/2.19 set(prolog_style_variables).
% 2.01/2.19 set(auto).
% 2.01/2.19 dependent: set(auto1).
% 2.01/2.19 dependent: set(process_input).
% 2.01/2.19 dependent: clear(print_kept).
% 2.01/2.19 dependent: clear(print_new_demod).
% 2.01/2.19 dependent: clear(print_back_demod).
% 2.01/2.19 dependent: clear(print_back_sub).
% 2.01/2.19 dependent: set(control_memory).
% 2.01/2.19 dependent: assign(max_mem, 12000).
% 2.01/2.19 dependent: assign(pick_given_ratio, 4).
% 2.01/2.19 dependent: assign(stats_level, 1).
% 2.01/2.19 dependent: assign(max_seconds, 10800).
% 2.01/2.19 clear(print_given).
% 2.01/2.19
% 2.01/2.19 list(usable).
% 2.01/2.19 0 [] -connection(P1,P2)| -zero(P1)|zero(P2).
% 2.01/2.19 0 [] -connection(P1,P2)| -one(P1)|one(P2).
% 2.01/2.19 0 [] -connection(P1,P2)| -zero(P2)|zero(P1).
% 2.01/2.19 0 [] -connection(P1,P2)| -one(P2)|one(P1).
% 2.01/2.19 0 [] -zero(P)| -one(P).
% 2.01/2.19 0 [] -and_ok(K)| -zero(in1(K))|zero(out1(K)).
% 2.01/2.19 0 [] -and_ok(K)| -zero(in2(K))|zero(out1(K)).
% 2.01/2.19 0 [] -and_ok(K)| -one(in1(K))| -one(in2(K))|one(out1(K)).
% 2.01/2.19 0 [] -and_ok(K)| -zero(out1(K))|zero(in1(K))|zero(in2(K)).
% 2.01/2.19 0 [] -and_ok(K)| -one(out1(K))|one(in1(K)).
% 2.01/2.19 0 [] -and_ok(K)| -one(out1(K))|one(in2(K)).
% 2.01/2.19 0 [] -and_ok(K)| -abnormal(K).
% 2.01/2.19 0 [] -logic_and(K)|and_ok(K)|abnormal(K).
% 2.01/2.19 0 [] -or_ok(K)| -one(in1(K))|one(out1(K)).
% 2.01/2.19 0 [] -or_ok(K)| -one(in2(K))|one(out1(K)).
% 2.01/2.19 0 [] -or_ok(K)| -zero(in1(K))| -zero(in2(K))|zero(out1(K)).
% 2.01/2.19 0 [] -or_ok(K)| -one(out1(K))|one(in1(K))|one(in2(K)).
% 2.01/2.19 0 [] -or_ok(K)| -zero(out1(K))|zero(in1(K)).
% 2.01/2.19 0 [] -or_ok(K)| -zero(out1(K))|zero(in2(K)).
% 2.01/2.19 0 [] -or_ok(K)| -abnormal(K).
% 2.01/2.19 0 [] -logic_or(K)|or_ok(K)|abnormal(K).
% 2.01/2.19 0 [] -not_ok(K)| -zero(in1(K))|one(out1(K)).
% 2.01/2.19 0 [] -not_ok(K)| -one(in1(K))|zero(out1(K)).
% 2.01/2.19 0 [] -not_ok(K)| -zero(out1(K))|one(in1(K)).
% 2.01/2.19 0 [] -not_ok(K)| -one(out1(K))|zero(in1(K)).
% 2.01/2.19 0 [] -not_ok(K)| -abnormal(K).
% 2.01/2.19 0 [] -logic_not(K)|not_ok(K)|abnormal(K).
% 2.01/2.19 0 [] -halfadder(X)|logic_and(and1(X)).
% 2.01/2.19 0 [] -halfadder(X)|logic_and(and2(X)).
% 2.01/2.19 0 [] -halfadder(X)|logic_not(not1(X)).
% 2.01/2.19 0 [] -halfadder(X)|logic_or(or1(X)).
% 2.01/2.19 0 [] -halfadder(X)|connection(in1(X),in1(or1(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(in2(X),in2(or1(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(in1(X),in1(and2(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(in2(X),in2(and2(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(outs(X),out1(and1(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(outc(X),out1(and2(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(out1(or1(X)),in1(and1(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(out1(and2(X)),in1(not1(X))).
% 2.01/2.19 0 [] -halfadder(X)|connection(out1(not1(X)),in2(and1(X))).
% 2.01/2.19 0 [] -fulladder(X)|halfadder(h1(X)).
% 2.01/2.19 0 [] -fulladder(X)|halfadder(h2(X)).
% 2.01/2.19 0 [] -fulladder(X)|logic_or(or1(X)).
% 2.01/2.19 0 [] -fulladder(X)|connection(outs(h1(X)),in2(h2(X))).
% 2.01/2.19 0 [] -fulladder(X)|connection(outc(h1(X)),in2(or1(X))).
% 2.01/2.19 0 [] -fulladder(X)|connection(outc(h2(X)),in1(or1(X))).
% 2.01/2.19 0 [] -fulladder(X)|connection(in1(X),in1(h2(X))).
% 2.01/2.19 0 [] -fulladder(X)|connection(in2(X),in1(h1(X))).
% 2.01/2.19 0 [] -fulladder(X)|connection(inc(X),in2(h1(X))).
% 2.01/2.19 0 [] -fulladder(X)|connection(outs(X),outs(h2(X))).
% 2.01/2.19 0 [] -fulladder(X)|connection(outc(X),out1(or1(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|fulladder(f1(X)).
% 2.01/2.19 0 [] -nbit_adder2(X)|fulladder(f2(X)).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(out1(X),out1(f1(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(out2(X),out1(f2(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(outc(X),outc(f2(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(ina1(X),in1(f1(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(inb1(X),in2(f1(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(ina2(X),in1(f2(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(inb2(X),in2(f2(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(outc(f1(X)),inc(f2(X))).
% 2.01/2.19 0 [] -nbit_adder2(X)|connection(inc(X),inc(f1(X))).
% 2.01/2.19 0 [] nbit_adder2(a).
% 2.01/2.19 0 [] zero(ina1(a)).
% 2.01/2.19 0 [] zero(ina2(a)).
% 2.01/2.19 0 [] zero(inb1(a)).
% 2.01/2.19 0 [] zero(inb2(a)).
% 2.01/2.19 0 [] zero(inc(a)).
% 2.01/2.19 0 [] zero(out1(a)).
% 2.01/2.19 0 [] zero(out2(a)).
% 2.01/2.19 0 [] one(outc(a)).
% 2.01/2.19 0 [] -abnormal(or1(f2(a))).
% 2.01/2.19 0 [] -abnormal(and2(h1(f2(a)))).
% 2.01/2.19 0 [] -abnormal(and2(h2(f2(a)))).
% 2.01/2.19 end_of_list.
% 2.01/2.19
% 2.01/2.19 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 2.01/2.19
% 2.01/2.19 This is a non-Horn set without equality. The strategy will
% 2.01/2.19 be ordered hyper_res, unit deletion, and factoring, with
% 2.01/2.19 satellites in sos and with nuclei in usable.
% 2.01/2.19
% 2.01/2.19 dependent: set(hyper_res).
% 2.01/2.19 dependent: set(factor).
% 2.01/2.19 dependent: set(unit_deletion).
% 2.01/2.19
% 2.01/2.19 ------------> process usable:
% 2.01/2.19 ** KEPT (pick-wt=7): 1 [] -connection(A,B)| -zero(A)|zero(B).
% 2.01/2.19 ** KEPT (pick-wt=7): 2 [] -connection(A,B)| -one(A)|one(B).
% 2.01/2.19 ** KEPT (pick-wt=7): 3 [] -connection(A,B)| -zero(B)|zero(A).
% 2.01/2.19 ** KEPT (pick-wt=7): 4 [] -connection(A,B)| -one(B)|one(A).
% 2.01/2.19 ** KEPT (pick-wt=4): 5 [] -zero(A)| -one(A).
% 2.01/2.19 ** KEPT (pick-wt=8): 6 [] -and_ok(A)| -zero(in1(A))|zero(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 7 [] -and_ok(A)| -zero(in2(A))|zero(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=11): 8 [] -and_ok(A)| -one(in1(A))| -one(in2(A))|one(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=11): 9 [] -and_ok(A)| -zero(out1(A))|zero(in1(A))|zero(in2(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 10 [] -and_ok(A)| -one(out1(A))|one(in1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 11 [] -and_ok(A)| -one(out1(A))|one(in2(A)).
% 2.01/2.19 ** KEPT (pick-wt=4): 12 [] -and_ok(A)| -abnormal(A).
% 2.01/2.19 ** KEPT (pick-wt=6): 13 [] -logic_and(A)|and_ok(A)|abnormal(A).
% 2.01/2.19 ** KEPT (pick-wt=8): 14 [] -or_ok(A)| -one(in1(A))|one(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 15 [] -or_ok(A)| -one(in2(A))|one(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=11): 16 [] -or_ok(A)| -zero(in1(A))| -zero(in2(A))|zero(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=11): 17 [] -or_ok(A)| -one(out1(A))|one(in1(A))|one(in2(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 18 [] -or_ok(A)| -zero(out1(A))|zero(in1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 19 [] -or_ok(A)| -zero(out1(A))|zero(in2(A)).
% 2.01/2.19 ** KEPT (pick-wt=4): 20 [] -or_ok(A)| -abnormal(A).
% 2.01/2.19 ** KEPT (pick-wt=6): 21 [] -logic_or(A)|or_ok(A)|abnormal(A).
% 2.01/2.19 ** KEPT (pick-wt=8): 22 [] -not_ok(A)| -zero(in1(A))|one(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 23 [] -not_ok(A)| -one(in1(A))|zero(out1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 24 [] -not_ok(A)| -zero(out1(A))|one(in1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 25 [] -not_ok(A)| -one(out1(A))|zero(in1(A)).
% 2.01/2.19 ** KEPT (pick-wt=4): 26 [] -not_ok(A)| -abnormal(A).
% 2.01/2.19 ** KEPT (pick-wt=6): 27 [] -logic_not(A)|not_ok(A)|abnormal(A).
% 2.01/2.19 ** KEPT (pick-wt=5): 28 [] -halfadder(A)|logic_and(and1(A)).
% 2.01/2.19 ** KEPT (pick-wt=5): 29 [] -halfadder(A)|logic_and(and2(A)).
% 2.01/2.19 ** KEPT (pick-wt=5): 30 [] -halfadder(A)|logic_not(not1(A)).
% 2.01/2.19 ** KEPT (pick-wt=5): 31 [] -halfadder(A)|logic_or(or1(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 32 [] -halfadder(A)|connection(in1(A),in1(or1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 33 [] -halfadder(A)|connection(in2(A),in2(or1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 34 [] -halfadder(A)|connection(in1(A),in1(and2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 35 [] -halfadder(A)|connection(in2(A),in2(and2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 36 [] -halfadder(A)|connection(outs(A),out1(and1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 37 [] -halfadder(A)|connection(outc(A),out1(and2(A))).
% 2.01/2.19 ** KEPT (pick-wt=9): 38 [] -halfadder(A)|connection(out1(or1(A)),in1(and1(A))).
% 2.01/2.19 ** KEPT (pick-wt=9): 39 [] -halfadder(A)|connection(out1(and2(A)),in1(not1(A))).
% 2.01/2.19 ** KEPT (pick-wt=9): 40 [] -halfadder(A)|connection(out1(not1(A)),in2(and1(A))).
% 2.01/2.19 ** KEPT (pick-wt=5): 41 [] -fulladder(A)|halfadder(h1(A)).
% 2.01/2.19 ** KEPT (pick-wt=5): 42 [] -fulladder(A)|halfadder(h2(A)).
% 2.01/2.19 ** KEPT (pick-wt=5): 43 [] -fulladder(A)|logic_or(or1(A)).
% 2.01/2.19 ** KEPT (pick-wt=9): 44 [] -fulladder(A)|connection(outs(h1(A)),in2(h2(A))).
% 2.01/2.19 ** KEPT (pick-wt=9): 45 [] -fulladder(A)|connection(outc(h1(A)),in2(or1(A))).
% 2.01/2.19 ** KEPT (pick-wt=9): 46 [] -fulladder(A)|connection(outc(h2(A)),in1(or1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 47 [] -fulladder(A)|connection(in1(A),in1(h2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 48 [] -fulladder(A)|connection(in2(A),in1(h1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 49 [] -fulladder(A)|connection(inc(A),in2(h1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 50 [] -fulladder(A)|connection(outs(A),outs(h2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 51 [] -fulladder(A)|connection(outc(A),out1(or1(A))).
% 2.01/2.19 ** KEPT (pick-wt=5): 52 [] -nbit_adder2(A)|fulladder(f1(A)).
% 2.01/2.19 ** KEPT (pick-wt=5): 53 [] -nbit_adder2(A)|fulladder(f2(A)).
% 2.01/2.19 ** KEPT (pick-wt=8): 54 [] -nbit_adder2(A)|connection(out1(A),out1(f1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 55 [] -nbit_adder2(A)|connection(out2(A),out1(f2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 56 [] -nbit_adder2(A)|connection(outc(A),outc(f2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 57 [] -nbit_adder2(A)|connection(ina1(A),in1(f1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 58 [] -nbit_adder2(A)|connection(inb1(A),in2(f1(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 59 [] -nbit_adder2(A)|connection(ina2(A),in1(f2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 60 [] -nbit_adder2(A)|connection(inb2(A),in2(f2(A))).
% 2.01/2.19 ** KEPT (pick-wt=9): 61 [] -nbit_adder2(A)|connection(outc(f1(A)),inc(f2(A))).
% 2.01/2.19 ** KEPT (pick-wt=8): 62 [] -nbit_adder2(A)|connection(inc(A),inc(f1(A))).
% 2.01/2.19 ** KEPT (pick-wt=4): 63 [] -abnormal(or1(f2(a))).
% 2.01/2.19 ** KEPT (pick-wt=5): 64 [] -abnormal(and2(h1(f2(a)))).
% 2.01/2.19 ** KEPT (pick-wt=5): 65 [] -abnormal(and2(h2(f2(a)))).
% 2.01/2.19
% 2.01/2.19 ------------> process sos:
% 2.01/2.19 ** KEPT (pick-wt=2): 66 [] nbit_adder2(a).
% 2.01/2.19 ** KEPT (pick-wt=3): 67 [] zero(ina1(a)).
% 2.01/2.19 ** KEPT (pick-wt=3): 68 [] zero(ina2(a)).
% 2.01/2.19 ** KEPT (pick-wt=3): 69 [] zero(inb1(a)).
% 2.01/2.19 ** KEPT (pick-wt=3): 70 [] zero(inb2(a)).
% 2.01/2.19 ** KEPT (pick-wt=3): 71 [] zero(inc(a)).
% 2.01/2.19 ** KEPT (pick-wt=3): 72 [] zero(out1(a)).
% 2.01/2.19 ** KEPT (pick-wt=3): 73 [] zero(out2(a)).
% 2.01/2.19 ** KEPT (pick-wt=3): 74 [] one(outc(a)).
% 2.01/2.19
% 2.01/2.19 ======= end of input processing =======
% 2.01/2.19
% 2.01/2.19 =========== start of search ===========
% 2.01/2.19
% 2.01/2.19 -------- PROOF --------
% 2.01/2.19
% 2.01/2.19 -----> EMPTY CLAUSE at 0.01 sec ----> 205 [hyper,203,5,186] $F.
% 2.01/2.19
% 2.01/2.19 Length of proof is 36. Level of proof is 8.
% 2.01/2.19
% 2.01/2.19 ---------------- PROOF ----------------
% 2.01/2.19 % SZS status Unsatisfiable
% 2.01/2.19 % SZS output start Refutation
% See solution above
% 2.01/2.19 ------------ end of proof -------------
% 2.01/2.19
% 2.01/2.19
% 2.01/2.19 Search stopped by max_proofs option.
% 2.01/2.19
% 2.01/2.19
% 2.01/2.19 Search stopped by max_proofs option.
% 2.01/2.19
% 2.01/2.19 ============ end of search ============
% 2.01/2.19
% 2.01/2.19 -------------- statistics -------------
% 2.01/2.19 clauses given 102
% 2.01/2.19 clauses generated 157
% 2.01/2.19 clauses kept 204
% 2.01/2.19 clauses forward subsumed 26
% 2.01/2.19 clauses back subsumed 0
% 2.01/2.19 Kbytes malloced 2929
% 2.01/2.19
% 2.01/2.19 ----------- times (seconds) -----------
% 2.01/2.19 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.01/2.19 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.01/2.19 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.01/2.19
% 2.01/2.19 That finishes the proof of the theorem.
% 2.01/2.19
% 2.01/2.19 Process 30141 finished Wed Jul 27 07:03:20 2022
% 2.01/2.19 Otter interrupted
% 2.01/2.19 PROOF FOUND
%------------------------------------------------------------------------------