%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HWV008-1.001 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 12:58:03 EDT 2022
% Result : Unsatisfiable 1.87s 2.05s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of clauses : 68 ( 46 unt; 1 nHn; 68 RR)
% Number of literals : 99 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 30 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ connection(A,B)
| ~ value(A,C)
| value(B,C) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(2,axiom,
( ~ connection(A,B)
| ~ value(B,C)
| value(A,C) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(3,axiom,
( ~ value(A,B)
| ~ value(A,C)
| e_qual_value(B,C) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(5,axiom,
~ e_qual_value(n1,n0),
file('HWV008-1.001.p',unknown),
[] ).
cnf(7,axiom,
( ~ type(A,B)
| mode(A,ok)
| mode(A,abnormal) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(8,axiom,
( ~ mode(A,ok)
| ~ type(A,and)
| ~ value(in(B,A),n0)
| value(out(n1,A),n0) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(14,axiom,
( ~ mode(A,ok)
| ~ type(A,or)
| ~ value(in(n1,A),n0)
| ~ value(in(n2,A),n0)
| value(out(n1,A),n0) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(23,axiom,
( ~ type(A,halfadder)
| type(and2(A),and) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(28,axiom,
( ~ type(A,halfadder)
| connection(in(n1,A),in(n1,and2(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(29,axiom,
( ~ type(A,halfadder)
| connection(in(n2,A),in(n2,and2(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(31,axiom,
( ~ type(A,halfadder)
| connection(out(c,A),out(n1,and2(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(35,axiom,
( ~ type(A,fulladder)
| type(h1(A),halfadder) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(36,axiom,
( ~ type(A,fulladder)
| type(h2(A),halfadder) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(37,axiom,
( ~ type(A,fulladder)
| type(or1(A),or) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(39,axiom,
( ~ type(A,fulladder)
| connection(out(c,h1(A)),in(n2,or1(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(40,axiom,
( ~ type(A,fulladder)
| connection(out(c,h2(A)),in(n1,or1(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(41,axiom,
( ~ type(A,fulladder)
| connection(in(n1,A),in(n1,h2(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(43,axiom,
( ~ type(A,fulladder)
| connection(in(c,A),in(n2,h1(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(45,axiom,
( ~ type(A,fulladder)
| connection(out(c,A),out(n1,or1(A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(46,axiom,
( ~ type(A,nbit_adder(n1))
| type(v(n1,A),fulladder) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(48,axiom,
( ~ type(A,nbit_adder(n1))
| connection(out(c,A),out(c,v(n1,A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(49,axiom,
( ~ type(A,nbit_adder(n1))
| connection(in(a1,A),in(n1,v(n1,A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(51,axiom,
( ~ type(A,nbit_adder(n1))
| connection(in(c,A),in(c,v(n1,A))) ),
file('HWV008-1.001.p',unknown),
[] ).
cnf(52,axiom,
~ mode(or1(v(n1,a)),abnormal),
file('HWV008-1.001.p',unknown),
[] ).
cnf(53,axiom,
~ mode(and2(h1(v(n1,a))),abnormal),
file('HWV008-1.001.p',unknown),
[] ).
cnf(54,axiom,
~ mode(and2(h2(v(n1,a))),abnormal),
file('HWV008-1.001.p',unknown),
[] ).
cnf(56,axiom,
type(a,nbit_adder(n1)),
file('HWV008-1.001.p',unknown),
[] ).
cnf(57,axiom,
value(in(a1,a),n0),
file('HWV008-1.001.p',unknown),
[] ).
cnf(59,axiom,
value(in(c,a),n0),
file('HWV008-1.001.p',unknown),
[] ).
cnf(61,axiom,
value(out(c,a),n1),
file('HWV008-1.001.p',unknown),
[] ).
cnf(62,plain,
connection(in(c,a),in(c,v(n1,a))),
inference(hyper,[status(thm)],[56,51]),
[iquote('hyper,56,51')] ).
cnf(64,plain,
connection(in(a1,a),in(n1,v(n1,a))),
inference(hyper,[status(thm)],[56,49]),
[iquote('hyper,56,49')] ).
cnf(65,plain,
connection(out(c,a),out(c,v(n1,a))),
inference(hyper,[status(thm)],[56,48]),
[iquote('hyper,56,48')] ).
cnf(67,plain,
type(v(n1,a),fulladder),
inference(hyper,[status(thm)],[56,46]),
[iquote('hyper,56,46')] ).
cnf(71,plain,
connection(out(c,v(n1,a)),out(n1,or1(v(n1,a)))),
inference(hyper,[status(thm)],[67,45]),
[iquote('hyper,67,45')] ).
cnf(73,plain,
connection(in(c,v(n1,a)),in(n2,h1(v(n1,a)))),
inference(hyper,[status(thm)],[67,43]),
[iquote('hyper,67,43')] ).
cnf(75,plain,
connection(in(n1,v(n1,a)),in(n1,h2(v(n1,a)))),
inference(hyper,[status(thm)],[67,41]),
[iquote('hyper,67,41')] ).
cnf(76,plain,
connection(out(c,h2(v(n1,a))),in(n1,or1(v(n1,a)))),
inference(hyper,[status(thm)],[67,40]),
[iquote('hyper,67,40')] ).
cnf(77,plain,
connection(out(c,h1(v(n1,a))),in(n2,or1(v(n1,a)))),
inference(hyper,[status(thm)],[67,39]),
[iquote('hyper,67,39')] ).
cnf(79,plain,
type(or1(v(n1,a)),or),
inference(hyper,[status(thm)],[67,37]),
[iquote('hyper,67,37')] ).
cnf(80,plain,
type(h2(v(n1,a)),halfadder),
inference(hyper,[status(thm)],[67,36]),
[iquote('hyper,67,36')] ).
cnf(81,plain,
type(h1(v(n1,a)),halfadder),
inference(hyper,[status(thm)],[67,35]),
[iquote('hyper,67,35')] ).
cnf(83,plain,
value(in(c,v(n1,a)),n0),
inference(hyper,[status(thm)],[62,1,59]),
[iquote('hyper,62,1,59')] ).
cnf(84,plain,
mode(or1(v(n1,a)),ok),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[79,7]),52]),
[iquote('hyper,79,7,unit_del,52')] ).
cnf(88,plain,
connection(out(c,h2(v(n1,a))),out(n1,and2(h2(v(n1,a))))),
inference(hyper,[status(thm)],[80,31]),
[iquote('hyper,80,31')] ).
cnf(91,plain,
connection(in(n1,h2(v(n1,a))),in(n1,and2(h2(v(n1,a))))),
inference(hyper,[status(thm)],[80,28]),
[iquote('hyper,80,28')] ).
cnf(96,plain,
type(and2(h2(v(n1,a))),and),
inference(hyper,[status(thm)],[80,23]),
[iquote('hyper,80,23')] ).
cnf(102,plain,
connection(out(c,h1(v(n1,a))),out(n1,and2(h1(v(n1,a))))),
inference(hyper,[status(thm)],[81,31]),
[iquote('hyper,81,31')] ).
cnf(104,plain,
connection(in(n2,h1(v(n1,a))),in(n2,and2(h1(v(n1,a))))),
inference(hyper,[status(thm)],[81,29]),
[iquote('hyper,81,29')] ).
cnf(110,plain,
type(and2(h1(v(n1,a))),and),
inference(hyper,[status(thm)],[81,23]),
[iquote('hyper,81,23')] ).
cnf(116,plain,
mode(and2(h2(v(n1,a))),ok),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[96,7]),54]),
[iquote('hyper,96,7,unit_del,54')] ).
cnf(117,plain,
value(in(n1,v(n1,a)),n0),
inference(hyper,[status(thm)],[64,1,57]),
[iquote('hyper,64,1,57')] ).
cnf(121,plain,
mode(and2(h1(v(n1,a))),ok),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[110,7]),53]),
[iquote('hyper,110,7,unit_del,53')] ).
cnf(122,plain,
value(out(c,v(n1,a)),n1),
inference(hyper,[status(thm)],[65,1,61]),
[iquote('hyper,65,1,61')] ).
cnf(125,plain,
value(out(n1,or1(v(n1,a))),n1),
inference(hyper,[status(thm)],[71,1,122]),
[iquote('hyper,71,1,122')] ).
cnf(128,plain,
value(in(n2,h1(v(n1,a))),n0),
inference(hyper,[status(thm)],[73,1,83]),
[iquote('hyper,73,1,83')] ).
cnf(130,plain,
value(in(n1,h2(v(n1,a))),n0),
inference(hyper,[status(thm)],[75,1,117]),
[iquote('hyper,75,1,117')] ).
cnf(132,plain,
value(in(n1,and2(h2(v(n1,a)))),n0),
inference(hyper,[status(thm)],[91,1,130]),
[iquote('hyper,91,1,130')] ).
cnf(133,plain,
value(out(n1,and2(h2(v(n1,a)))),n0),
inference(hyper,[status(thm)],[132,8,116,96]),
[iquote('hyper,132,8,116,96')] ).
cnf(134,plain,
value(out(c,h2(v(n1,a))),n0),
inference(hyper,[status(thm)],[133,2,88]),
[iquote('hyper,133,2,88')] ).
cnf(136,plain,
value(in(n1,or1(v(n1,a))),n0),
inference(hyper,[status(thm)],[134,1,76]),
[iquote('hyper,134,1,76')] ).
cnf(138,plain,
value(in(n2,and2(h1(v(n1,a)))),n0),
inference(hyper,[status(thm)],[104,1,128]),
[iquote('hyper,104,1,128')] ).
cnf(139,plain,
value(out(n1,and2(h1(v(n1,a)))),n0),
inference(hyper,[status(thm)],[138,8,121,110]),
[iquote('hyper,138,8,121,110')] ).
cnf(140,plain,
value(out(c,h1(v(n1,a))),n0),
inference(hyper,[status(thm)],[139,2,102]),
[iquote('hyper,139,2,102')] ).
cnf(142,plain,
value(in(n2,or1(v(n1,a))),n0),
inference(hyper,[status(thm)],[140,1,77]),
[iquote('hyper,140,1,77')] ).
cnf(143,plain,
value(out(n1,or1(v(n1,a))),n0),
inference(hyper,[status(thm)],[142,14,84,79,136]),
[iquote('hyper,142,14,84,79,136')] ).
cnf(144,plain,
e_qual_value(n1,n0),
inference(hyper,[status(thm)],[143,3,125]),
[iquote('hyper,143,3,125')] ).
cnf(145,plain,
$false,
inference(binary,[status(thm)],[144,5]),
[iquote('binary,144.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : HWV008-1.001 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 06:40:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.87/2.04 ----- Otter 3.3f, August 2004 -----
% 1.87/2.04 The process was started by sandbox on n009.cluster.edu,
% 1.87/2.04 Wed Jul 27 06:40:06 2022
% 1.87/2.04 The command was "./otter". The process ID is 30789.
% 1.87/2.04
% 1.87/2.04 set(prolog_style_variables).
% 1.87/2.04 set(auto).
% 1.87/2.04 dependent: set(auto1).
% 1.87/2.04 dependent: set(process_input).
% 1.87/2.04 dependent: clear(print_kept).
% 1.87/2.04 dependent: clear(print_new_demod).
% 1.87/2.04 dependent: clear(print_back_demod).
% 1.87/2.04 dependent: clear(print_back_sub).
% 1.87/2.04 dependent: set(control_memory).
% 1.87/2.04 dependent: assign(max_mem, 12000).
% 1.87/2.04 dependent: assign(pick_given_ratio, 4).
% 1.87/2.04 dependent: assign(stats_level, 1).
% 1.87/2.04 dependent: assign(max_seconds, 10800).
% 1.87/2.04 clear(print_given).
% 1.87/2.04
% 1.87/2.04 list(usable).
% 1.87/2.04 0 [] -connection(P1,P2)| -value(P1,V)|value(P2,V).
% 1.87/2.04 0 [] -connection(P1,P2)| -value(P2,V)|value(P1,V).
% 1.87/2.04 0 [] -value(P,V1)| -value(P,V2)|e_qual_value(V1,V2).
% 1.87/2.04 0 [] -e_qual_value(n0,n1).
% 1.87/2.04 0 [] -e_qual_value(n1,n0).
% 1.87/2.04 0 [] -mode(K,ok)| -mode(K,abnormal).
% 1.87/2.04 0 [] -type(K,Any)|mode(K,ok)|mode(K,abnormal).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,and)| -value(in(Any,K),n0)|value(out(n1,K),n0).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,and)| -value(in(n1,K),n1)| -value(in(n2,K),n1)|value(out(n1,K),n1).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,and)| -value(out(n1,K),n0)|value(in(n1,K),n0)|value(in(n2,K),n0).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,and)| -value(out(n1,K),n1)|value(in(n1,K),n1).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,and)| -value(out(n1,K),n1)|value(in(n2,K),n1).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,or)| -value(in(Any,K),n1)|value(out(n1,K),n1).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,or)| -value(in(n1,K),n0)| -value(in(n2,K),n0)|value(out(n1,K),n0).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,or)| -value(out(n1,K),n1)|value(in(n1,K),n1)|value(in(n2,K),n1).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,or)| -value(out(n1,K),n0)|value(in(n1,K),n0).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,or)| -value(out(n1,K),n0)|value(in(n2,K),n0).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,not)| -value(in(n1,K),n0)|value(out(n1,K),n1).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,not)| -value(in(n1,K),n1)|value(out(n1,K),n0).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,not)| -value(out(n1,K),n0)|value(in(n1,K),n1).
% 1.87/2.04 0 [] -mode(K,ok)| -type(K,not)| -value(out(n1,K),n1)|value(in(n1,K),n0).
% 1.87/2.04 0 [] -type(X,halfadder)|type(and1(X),and).
% 1.87/2.04 0 [] -type(X,halfadder)|type(and2(X),and).
% 1.87/2.04 0 [] -type(X,halfadder)|type(not1(X),not).
% 1.87/2.04 0 [] -type(X,halfadder)|type(or1(X),or).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(in(n1,X),in(n1,or1(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(in(n2,X),in(n2,or1(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(in(n1,X),in(n1,and2(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(in(n2,X),in(n2,and2(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(out(s,X),out(n1,and1(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(out(c,X),out(n1,and2(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(out(n1,or1(X)),in(n1,and1(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(out(n1,and2(X)),in(n1,not1(X))).
% 1.87/2.04 0 [] -type(X,halfadder)|connection(out(n1,not1(X)),in(n2,and1(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|type(h1(X),halfadder).
% 1.87/2.04 0 [] -type(X,fulladder)|type(h2(X),halfadder).
% 1.87/2.04 0 [] -type(X,fulladder)|type(or1(X),or).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(out(s,h1(X)),in(n2,h2(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(out(c,h1(X)),in(n2,or1(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(out(c,h2(X)),in(n1,or1(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(in(n1,X),in(n1,h2(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(in(n2,X),in(n1,h1(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(in(c,X),in(n2,h1(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(out(s,X),out(s,h2(X))).
% 1.87/2.04 0 [] -type(X,fulladder)|connection(out(c,X),out(n1,or1(X))).
% 1.87/2.04 0 [] -type(X,nbit_adder(n1))|type(v(n1,X),fulladder).
% 1.87/2.04 0 [] -type(X,nbit_adder(n1))|connection(out(n1,X),out(s,v(n1,X))).
% 1.87/2.04 0 [] -type(X,nbit_adder(n1))|connection(out(c,X),out(c,v(n1,X))).
% 1.87/2.04 0 [] -type(X,nbit_adder(n1))|connection(in(a1,X),in(n1,v(n1,X))).
% 1.87/2.04 0 [] -type(X,nbit_adder(n1))|connection(in(b1,X),in(n2,v(n1,X))).
% 1.87/2.04 0 [] -type(X,nbit_adder(n1))|connection(in(c,X),in(c,v(n1,X))).
% 1.87/2.04 0 [] type(a,nbit_adder(n1)).
% 1.87/2.04 0 [] value(in(a1,a),n0).
% 1.87/2.04 0 [] value(in(b1,a),n0).
% 1.87/2.04 0 [] value(in(c,a),n0).
% 1.87/2.04 0 [] value(out(n1,a),n0).
% 1.87/2.04 0 [] value(out(c,a),n1).
% 1.87/2.04 0 [] -mode(or1(v(n1,a)),abnormal).
% 1.87/2.04 0 [] -mode(and2(h1(v(n1,a))),abnormal).
% 1.87/2.04 0 [] -mode(and2(h2(v(n1,a))),abnormal).
% 1.87/2.04 end_of_list.
% 1.87/2.04
% 1.87/2.04 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.87/2.04
% 1.87/2.04 This is a non-Horn set without equality. The strategy will
% 1.87/2.04 be ordered hyper_res, unit deletion, and factoring, with
% 1.87/2.04 satellites in sos and with nuclei in usable.
% 1.87/2.04
% 1.87/2.04 dependent: set(hyper_res).
% 1.87/2.04 dependent: set(factor).
% 1.87/2.04 dependent: set(unit_deletion).
% 1.87/2.04
% 1.87/2.04 ------------> process usable:
% 1.87/2.04 ** KEPT (pick-wt=9): 1 [] -connection(A,B)| -value(A,C)|value(B,C).
% 1.87/2.04 ** KEPT (pick-wt=9): 2 [] -connection(A,B)| -value(B,C)|value(A,C).
% 1.87/2.04 ** KEPT (pick-wt=9): 3 [] -value(A,B)| -value(A,C)|e_qual_value(B,C).
% 1.87/2.04 ** KEPT (pick-wt=3): 4 [] -e_qual_value(n0,n1).
% 1.87/2.04 ** KEPT (pick-wt=3): 5 [] -e_qual_value(n1,n0).
% 1.87/2.04 ** KEPT (pick-wt=6): 6 [] -mode(A,ok)| -mode(A,abnormal).
% 1.87/2.04 ** KEPT (pick-wt=9): 7 [] -type(A,B)|mode(A,ok)|mode(A,abnormal).
% 1.87/2.04 ** KEPT (pick-wt=16): 8 [] -mode(A,ok)| -type(A,and)| -value(in(B,A),n0)|value(out(n1,A),n0).
% 1.87/2.04 ** KEPT (pick-wt=21): 9 [] -mode(A,ok)| -type(A,and)| -value(in(n1,A),n1)| -value(in(n2,A),n1)|value(out(n1,A),n1).
% 1.87/2.04 ** KEPT (pick-wt=21): 10 [] -mode(A,ok)| -type(A,and)| -value(out(n1,A),n0)|value(in(n1,A),n0)|value(in(n2,A),n0).
% 1.87/2.04 ** KEPT (pick-wt=16): 11 [] -mode(A,ok)| -type(A,and)| -value(out(n1,A),n1)|value(in(n1,A),n1).
% 1.87/2.04 ** KEPT (pick-wt=16): 12 [] -mode(A,ok)| -type(A,and)| -value(out(n1,A),n1)|value(in(n2,A),n1).
% 1.87/2.04 ** KEPT (pick-wt=16): 13 [] -mode(A,ok)| -type(A,or)| -value(in(B,A),n1)|value(out(n1,A),n1).
% 1.87/2.04 ** KEPT (pick-wt=21): 14 [] -mode(A,ok)| -type(A,or)| -value(in(n1,A),n0)| -value(in(n2,A),n0)|value(out(n1,A),n0).
% 1.87/2.04 ** KEPT (pick-wt=21): 15 [] -mode(A,ok)| -type(A,or)| -value(out(n1,A),n1)|value(in(n1,A),n1)|value(in(n2,A),n1).
% 1.87/2.04 ** KEPT (pick-wt=16): 16 [] -mode(A,ok)| -type(A,or)| -value(out(n1,A),n0)|value(in(n1,A),n0).
% 1.87/2.04 ** KEPT (pick-wt=16): 17 [] -mode(A,ok)| -type(A,or)| -value(out(n1,A),n0)|value(in(n2,A),n0).
% 1.87/2.04 ** KEPT (pick-wt=16): 18 [] -mode(A,ok)| -type(A,not)| -value(in(n1,A),n0)|value(out(n1,A),n1).
% 1.87/2.04 ** KEPT (pick-wt=16): 19 [] -mode(A,ok)| -type(A,not)| -value(in(n1,A),n1)|value(out(n1,A),n0).
% 1.87/2.04 ** KEPT (pick-wt=16): 20 [] -mode(A,ok)| -type(A,not)| -value(out(n1,A),n0)|value(in(n1,A),n1).
% 1.87/2.04 ** KEPT (pick-wt=16): 21 [] -mode(A,ok)| -type(A,not)| -value(out(n1,A),n1)|value(in(n1,A),n0).
% 1.87/2.04 ** KEPT (pick-wt=7): 22 [] -type(A,halfadder)|type(and1(A),and).
% 1.87/2.04 ** KEPT (pick-wt=7): 23 [] -type(A,halfadder)|type(and2(A),and).
% 1.87/2.04 ** KEPT (pick-wt=7): 24 [] -type(A,halfadder)|type(not1(A),not).
% 1.87/2.04 ** KEPT (pick-wt=7): 25 [] -type(A,halfadder)|type(or1(A),or).
% 1.87/2.04 ** KEPT (pick-wt=11): 26 [] -type(A,halfadder)|connection(in(n1,A),in(n1,or1(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 27 [] -type(A,halfadder)|connection(in(n2,A),in(n2,or1(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 28 [] -type(A,halfadder)|connection(in(n1,A),in(n1,and2(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 29 [] -type(A,halfadder)|connection(in(n2,A),in(n2,and2(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 30 [] -type(A,halfadder)|connection(out(s,A),out(n1,and1(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 31 [] -type(A,halfadder)|connection(out(c,A),out(n1,and2(A))).
% 1.87/2.04 ** KEPT (pick-wt=12): 32 [] -type(A,halfadder)|connection(out(n1,or1(A)),in(n1,and1(A))).
% 1.87/2.04 ** KEPT (pick-wt=12): 33 [] -type(A,halfadder)|connection(out(n1,and2(A)),in(n1,not1(A))).
% 1.87/2.04 ** KEPT (pick-wt=12): 34 [] -type(A,halfadder)|connection(out(n1,not1(A)),in(n2,and1(A))).
% 1.87/2.04 ** KEPT (pick-wt=7): 35 [] -type(A,fulladder)|type(h1(A),halfadder).
% 1.87/2.04 ** KEPT (pick-wt=7): 36 [] -type(A,fulladder)|type(h2(A),halfadder).
% 1.87/2.04 ** KEPT (pick-wt=7): 37 [] -type(A,fulladder)|type(or1(A),or).
% 1.87/2.04 ** KEPT (pick-wt=12): 38 [] -type(A,fulladder)|connection(out(s,h1(A)),in(n2,h2(A))).
% 1.87/2.04 ** KEPT (pick-wt=12): 39 [] -type(A,fulladder)|connection(out(c,h1(A)),in(n2,or1(A))).
% 1.87/2.04 ** KEPT (pick-wt=12): 40 [] -type(A,fulladder)|connection(out(c,h2(A)),in(n1,or1(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 41 [] -type(A,fulladder)|connection(in(n1,A),in(n1,h2(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 42 [] -type(A,fulladder)|connection(in(n2,A),in(n1,h1(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 43 [] -type(A,fulladder)|connection(in(c,A),in(n2,h1(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 44 [] -type(A,fulladder)|connection(out(s,A),out(s,h2(A))).
% 1.87/2.04 ** KEPT (pick-wt=11): 45 [] -type(A,fulladder)|connection(out(c,A),out(n1,or1(A))).
% 1.87/2.04 ** KEPT (pick-wt=9): 46 [] -type(A,nbit_adder(n1))|type(v(n1,A),fulladder).
% 1.87/2.05 ** KEPT (pick-wt=13): 47 [] -type(A,nbit_adder(n1))|connection(out(n1,A),out(s,v(n1,A))).
% 1.87/2.05 ** KEPT (pick-wt=13): 48 [] -type(A,nbit_adder(n1))|connection(out(c,A),out(c,v(n1,A))).
% 1.87/2.05 ** KEPT (pick-wt=13): 49 [] -type(A,nbit_adder(n1))|connection(in(a1,A),in(n1,v(n1,A))).
% 1.87/2.05 ** KEPT (pick-wt=13): 50 [] -type(A,nbit_adder(n1))|connection(in(b1,A),in(n2,v(n1,A))).
% 1.87/2.05 ** KEPT (pick-wt=13): 51 [] -type(A,nbit_adder(n1))|connection(in(c,A),in(c,v(n1,A))).
% 1.87/2.05 ** KEPT (pick-wt=6): 52 [] -mode(or1(v(n1,a)),abnormal).
% 1.87/2.05 ** KEPT (pick-wt=7): 53 [] -mode(and2(h1(v(n1,a))),abnormal).
% 1.87/2.05 ** KEPT (pick-wt=7): 54 [] -mode(and2(h2(v(n1,a))),abnormal).
% 1.87/2.05
% 1.87/2.05 ------------> process sos:
% 1.87/2.05 ** KEPT (pick-wt=4): 56 [] type(a,nbit_adder(n1)).
% 1.87/2.05 ** KEPT (pick-wt=5): 57 [] value(in(a1,a),n0).
% 1.87/2.05 ** KEPT (pick-wt=5): 58 [] value(in(b1,a),n0).
% 1.87/2.05 ** KEPT (pick-wt=5): 59 [] value(in(c,a),n0).
% 1.87/2.05 ** KEPT (pick-wt=5): 60 [] value(out(n1,a),n0).
% 1.87/2.05 ** KEPT (pick-wt=5): 61 [] value(out(c,a),n1).
% 1.87/2.05
% 1.87/2.05 ======= end of input processing =======
% 1.87/2.05
% 1.87/2.05 =========== start of search ===========
% 1.87/2.05
% 1.87/2.05 -------- PROOF --------
% 1.87/2.05
% 1.87/2.05 ----> UNIT CONFLICT at 0.01 sec ----> 145 [binary,144.1,5.1] $F.
% 1.87/2.05
% 1.87/2.05 Length of proof is 37. Level of proof is 9.
% 1.87/2.05
% 1.87/2.05 ---------------- PROOF ----------------
% 1.87/2.05 % SZS status Unsatisfiable
% 1.87/2.05 % SZS output start Refutation
% See solution above
% 1.87/2.05 ------------ end of proof -------------
% 1.87/2.05
% 1.87/2.05
% 1.87/2.05 Search stopped by max_proofs option.
% 1.87/2.05
% 1.87/2.05
% 1.87/2.05 Search stopped by max_proofs option.
% 1.87/2.05
% 1.87/2.05 ============ end of search ============
% 1.87/2.05
% 1.87/2.05 -------------- statistics -------------
% 1.87/2.05 clauses given 77
% 1.87/2.05 clauses generated 193
% 1.87/2.05 clauses kept 144
% 1.87/2.05 clauses forward subsumed 109
% 1.87/2.05 clauses back subsumed 0
% 1.87/2.05 Kbytes malloced 1953
% 1.87/2.05
% 1.87/2.05 ----------- times (seconds) -----------
% 1.87/2.05 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.87/2.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.87/2.05 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.87/2.05
% 1.87/2.05 That finishes the proof of the theorem.
% 1.87/2.05
% 1.87/2.05 Process 30789 finished Wed Jul 27 06:40:08 2022
% 1.87/2.05 Otter interrupted
% 1.87/2.05 PROOF FOUND
%------------------------------------------------------------------------------