TSTP Solution File: BOO015-2 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n026.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 : 600s
% DateTime : Thu Jul 14 23:37:07 EDT 2022
% Result : Unsatisfiable 3.43s 3.78s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 15
% Syntax : Number of clauses : 127 ( 127 unt; 0 nHn; 35 RR)
% Number of literals : 127 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 228 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(A,B),add(B,A)),
file('BOO015-2.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),multiply(B,A)),
file('BOO015-2.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(add(A,B),add(A,C)),add(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(multiply(add(A,B),C),add(multiply(A,C),multiply(B,C))),
file('BOO015-2.p',unknown),
[] ).
cnf(6,plain,
equal(add(multiply(A,add(A,B)),multiply(C,add(A,B))),add(A,multiply(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),5]),
[iquote('back_demod(4),demod([5])')] ).
cnf(8,plain,
equal(multiply(A,add(B,C)),add(multiply(A,B),multiply(A,C))),
file('BOO015-2.p',unknown),
[] ).
cnf(10,plain,
equal(add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))),add(A,multiply(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),8,8]),
[iquote('back_demod(6),demod([8,8])')] ).
cnf(11,plain,
equal(add(A,inverse(A)),multiplicative_identity),
file('BOO015-2.p',unknown),
[] ).
cnf(12,plain,
equal(add(inverse(A),A),multiplicative_identity),
file('BOO015-2.p',unknown),
[] ).
cnf(13,plain,
equal(multiply(A,inverse(A)),additive_identity),
file('BOO015-2.p',unknown),
[] ).
cnf(14,plain,
equal(multiply(inverse(A),A),additive_identity),
file('BOO015-2.p',unknown),
[] ).
cnf(15,plain,
equal(multiply(A,multiplicative_identity),A),
file('BOO015-2.p',unknown),
[] ).
cnf(16,plain,
equal(multiply(multiplicative_identity,A),A),
file('BOO015-2.p',unknown),
[] ).
cnf(17,plain,
equal(add(A,additive_identity),A),
file('BOO015-2.p',unknown),
[] ).
cnf(18,plain,
equal(add(additive_identity,A),A),
file('BOO015-2.p',unknown),
[] ).
cnf(19,plain,
equal(multiply(a,b),c),
file('BOO015-2.p',unknown),
[] ).
cnf(20,plain,
equal(add(inverse(a),inverse(b)),d),
file('BOO015-2.p',unknown),
[] ).
cnf(21,plain,
~ equal(inverse(c),d),
file('BOO015-2.p',unknown),
[] ).
cnf(22,plain,
equal(add(multiply(A,B),multiply(C,B)),add(multiply(B,A),multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,2]),8]),
[iquote('para(5,2),demod([8])')] ).
cnf(25,plain,
equal(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(C,D))),add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,5]),5,5,8,8]),
[iquote('para(8,5),demod([5,5,8,8])')] ).
cnf(56,plain,
equal(add(multiply(A,B),multiply(inverse(A),B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,5]),16]),1]),
[iquote('para(11,5),demod([16]),flip(1)')] ).
cnf(58,plain,
equal(multiply(b,a),c),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,2]),1]),
[iquote('para(19,2),flip(1)')] ).
cnf(60,plain,
equal(add(multiply(A,inverse(B)),multiply(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,8]),15]),1]),
[iquote('para(12,8),demod([15]),flip(1)')] ).
cnf(68,plain,
equal(add(add(multiply(A,A),multiply(A,inverse(B))),multiply(B,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,10]),17,13,17]),
[iquote('para(13,10),demod([17,13,17])')] ).
cnf(69,plain,
equal(add(multiply(inverse(add(A,B)),A),multiply(inverse(add(A,B)),B)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,8]),1]),
[iquote('para(14,8),flip(1)')] ).
cnf(75,plain,
equal(add(multiply(inverse(A),inverse(A)),B),add(inverse(A),multiply(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,10]),17,60]),
[iquote('para(14,10),demod([17,60])')] ).
cnf(76,plain,
equal(add(inverse(A),multiply(B,A)),add(multiply(inverse(A),inverse(A)),B)),
inference(flip,[status(thm),theory(equality)],[75]),
[iquote('flip(75)')] ).
cnf(77,plain,
equal(add(add(multiply(A,A),multiply(A,B)),multiply(inverse(A),B)),add(A,multiply(inverse(A),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,10]),18]),
[iquote('para(14,10),demod([18])')] ).
cnf(87,plain,
equal(add(multiply(A,B),multiply(additive_identity,B)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,5]),1]),
[iquote('para(17,5),flip(1)')] ).
cnf(98,plain,
equal(add(add(multiply(A,A),multiply(A,b)),add(multiply(a,A),c)),add(A,c)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,10]),19]),
[iquote('para(19,10),demod([19])')] ).
cnf(100,plain,
equal(add(multiply(A,inverse(a)),multiply(A,inverse(b))),multiply(A,d)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,8]),1]),
[iquote('para(20,8),flip(1)')] ).
cnf(107,plain,
equal(add(add(multiply(A,B),multiply(C,B)),multiply(D,B)),add(add(multiply(B,A),multiply(B,C)),multiply(B,D))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,22]),8]),
[iquote('para(5,22),demod([8])')] ).
cnf(109,plain,
equal(add(multiply(A,B),add(multiply(C,B),multiply(D,B))),add(multiply(B,A),add(multiply(B,C),multiply(B,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,22]),8]),
[iquote('para(5,22),demod([8])')] ).
cnf(113,plain,
equal(add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C))),add(add(multiply(B,A),multiply(C,A)),add(multiply(B,D),multiply(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,22]),8,5,5]),
[iquote('para(8,22),demod([8,5,5])')] ).
cnf(121,plain,
equal(add(c,multiply(inverse(b),a)),a),
inference(para,[status(thm),theory(equality)],[58,56]),
[iquote('para(58,56)')] ).
cnf(127,plain,
equal(add(c,multiply(a,inverse(b))),a),
inference(para,[status(thm),theory(equality)],[2,121]),
[iquote('para(2,121)')] ).
cnf(128,plain,
equal(add(multiply(a,inverse(b)),c),a),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[127,1]),1]),
[iquote('para(127,1),flip(1)')] ).
cnf(129,plain,
equal(add(add(multiply(A,B),multiply(A,C)),add(multiply(D,B),multiply(D,C))),add(add(multiply(A,C),multiply(D,C)),add(multiply(A,B),multiply(D,B)))),
inference(para,[status(thm),theory(equality)],[25,1]),
[iquote('para(25,1)')] ).
cnf(131,plain,
equal(add(add(multiply(A,B),multiply(C,B)),add(multiply(C,D),multiply(A,D))),add(add(multiply(C,B),multiply(C,D)),add(multiply(A,B),multiply(A,D)))),
inference(para,[status(thm),theory(equality)],[1,25]),
[iquote('para(1,25)')] ).
cnf(139,plain,
equal(add(add(multiply(A,B),multiply(C,B)),add(multiply(D,A),multiply(C,D))),add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[2,25]),
[iquote('para(2,25)')] ).
cnf(141,plain,
equal(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,D),multiply(D,C))),add(add(multiply(A,B),multiply(A,D)),add(multiply(C,B),multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[2,25]),
[iquote('para(2,25)')] ).
cnf(145,plain,
equal(add(add(add(multiply(A,B),multiply(C,B)),multiply(D,B)),add(add(multiply(A,E),multiply(C,E)),multiply(D,E))),add(add(add(multiply(A,B),multiply(C,B)),add(multiply(A,E),multiply(C,E))),add(multiply(D,B),multiply(D,E)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,25]),5,5,5]),
[iquote('para(5,25),demod([5,5,5])')] ).
cnf(147,plain,
equal(add(add(multiply(A,B),add(multiply(C,B),multiply(D,B))),add(multiply(A,E),add(multiply(C,E),multiply(D,E)))),add(add(multiply(A,B),multiply(A,E)),add(add(multiply(C,B),multiply(D,B)),add(multiply(C,E),multiply(D,E))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,25]),5,5,5]),
[iquote('para(5,25),demod([5,5,5])')] ).
cnf(165,plain,
equal(add(add(multiply(A,B),multiply(A,C)),multiply(inverse(B),C)),add(multiply(A,B),add(multiply(A,C),multiply(inverse(B),C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,25]),17,14,18]),1]),
[iquote('para(14,25),demod([17,14,18]),flip(1)')] ).
cnf(166,plain,
equal(add(A,multiply(inverse(A),B)),add(multiply(A,A),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[77]),165,56]),1]),
[iquote('back_demod(77),demod([165,56]),flip(1)')] ).
cnf(172,plain,
equal(add(add(multiply(A,B),multiply(C,B)),add(A,C)),add(add(multiply(A,B),A),add(multiply(C,B),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,25]),15,15,15]),
[iquote('para(15,25),demod([15,15,15])')] ).
cnf(173,plain,
equal(add(add(multiply(A,B),A),add(multiply(C,B),C)),add(add(multiply(A,B),multiply(C,B)),add(A,C))),
inference(flip,[status(thm),theory(equality)],[172]),
[iquote('flip(172)')] ).
cnf(186,plain,
equal(multiply(inverse(A),inverse(A)),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,56]),18]),
[iquote('para(13,56),demod([18])')] ).
cnf(188,plain,
equal(add(inverse(A),multiply(B,A)),add(inverse(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[76]),186]),
[iquote('back_demod(76),demod([186])')] ).
cnf(191,plain,
equal(multiply(A,inverse(inverse(A))),inverse(inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,56]),17]),
[iquote('para(13,56),demod([17])')] ).
cnf(214,plain,
equal(multiply(inverse(inverse(A)),A),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[2,191]),
[iquote('para(2,191)')] ).
cnf(215,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,56]),214,18]),
[iquote('para(14,56),demod([214,18])')] ).
cnf(216,plain,
equal(multiply(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[214]),215,215]),
[iquote('back_demod(214),demod([215,215])')] ).
cnf(223,plain,
equal(add(A,multiply(inverse(A),B)),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[166]),216]),
[iquote('back_demod(166),demod([216])')] ).
cnf(228,plain,
equal(add(add(A,multiply(A,b)),add(multiply(a,A),c)),add(A,c)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[98]),216]),
[iquote('back_demod(98),demod([216])')] ).
cnf(239,plain,
equal(add(add(A,multiply(A,inverse(B))),multiply(B,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[68]),216]),
[iquote('back_demod(68),demod([216])')] ).
cnf(281,plain,
equal(add(A,multiplicative_identity),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,223]),11]),1]),
[iquote('para(15,223),demod([11]),flip(1)')] ).
cnf(322,plain,
equal(add(multiply(multiply(inverse(add(A,B)),A),C),multiply(multiply(inverse(add(A,B)),B),C)),multiply(additive_identity,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[69,5]),1]),
[iquote('para(69,5),flip(1)')] ).
cnf(346,plain,
equal(multiply(additive_identity,A),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,87]),18,14]),
[iquote('para(14,87),demod([18,14])')] ).
cnf(347,plain,
equal(add(multiply(multiply(inverse(add(A,B)),A),C),multiply(multiply(inverse(add(A,B)),B),C)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[322]),346]),
[iquote('back_demod(322),demod([346])')] ).
cnf(370,plain,
equal(multiply(a,inverse(b)),multiply(a,d)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,100]),18]),
[iquote('para(13,100),demod([18])')] ).
cnf(371,plain,
equal(add(multiply(a,d),c),a),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[128]),370]),
[iquote('back_demod(128),demod([370])')] ).
cnf(373,plain,
equal(multiply(b,inverse(a)),multiply(b,d)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,100]),17]),
[iquote('para(13,100),demod([17])')] ).
cnf(487,plain,
equal(add(add(multiply(A,B),B),multiply(C,B)),add(add(multiply(B,A),B),multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,107]),15]),
[iquote('para(16,107),demod([15])')] ).
cnf(488,plain,
equal(add(add(multiply(A,B),A),multiply(A,C)),add(add(multiply(B,A),A),multiply(C,A))),
inference(flip,[status(thm),theory(equality)],[487]),
[iquote('flip(487)')] ).
cnf(531,plain,
equal(add(multiply(A,B),add(multiply(C,B),B)),add(multiply(B,A),add(multiply(B,C),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,109]),15]),
[iquote('para(16,109),demod([15])')] ).
cnf(532,plain,
equal(add(multiply(A,B),add(multiply(A,C),A)),add(multiply(B,A),add(multiply(C,A),A))),
inference(flip,[status(thm),theory(equality)],[531]),
[iquote('flip(531)')] ).
cnf(634,plain,
equal(add(add(A,multiply(A,B)),add(C,multiply(C,B))),add(add(A,multiply(B,A)),add(C,multiply(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,113]),15,16,16]),
[iquote('para(15,113),demod([15,16,16])')] ).
cnf(635,plain,
equal(add(add(A,multiply(B,A)),add(C,multiply(B,C))),add(add(A,multiply(A,B)),add(C,multiply(C,B)))),
inference(flip,[status(thm),theory(equality)],[634]),
[iquote('flip(634)')] ).
cnf(733,plain,
equal(add(add(multiply(A,B),multiply(C,B)),add(A,C)),add(add(A,multiply(A,B)),add(C,multiply(C,B)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,129]),15,15,15]),1]),
[iquote('para(15,129),demod([15,15,15]),flip(1)')] ).
cnf(735,plain,
equal(add(add(multiply(A,B),A),add(multiply(C,B),C)),add(add(A,multiply(A,B)),add(C,multiply(C,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[173]),733]),
[iquote('back_demod(173),demod([733])')] ).
cnf(752,plain,
equal(add(add(b,multiply(b,d)),c),b),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,239]),373]),
[iquote('para(19,239),demod([373])')] ).
cnf(760,plain,
equal(add(add(multiply(b,d),b),c),b),
inference(para,[status(thm),theory(equality)],[1,752]),
[iquote('para(1,752)')] ).
cnf(781,plain,
equal(add(c,add(multiply(b,d),b)),b),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[760,1]),1]),
[iquote('para(760,1),flip(1)')] ).
cnf(804,plain,
equal(add(add(a,multiply(a,d)),c),a),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[58,239]),370]),
[iquote('para(58,239),demod([370])')] ).
cnf(815,plain,
equal(add(add(multiply(A,B),multiply(A,C)),add(B,C)),add(add(B,multiply(A,B)),add(multiply(A,C),C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,131]),16,16,16]),1]),
[iquote('para(16,131),demod([16,16,16]),flip(1)')] ).
cnf(819,plain,
equal(add(add(multiply(a,d),a),c),a),
inference(para,[status(thm),theory(equality)],[1,804]),
[iquote('para(1,804)')] ).
cnf(835,plain,
equal(add(c,add(multiply(a,d),a)),a),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[819,1]),1]),
[iquote('para(819,1),flip(1)')] ).
cnf(1257,plain,
equal(add(add(multiply(A,B),B),add(multiply(C,A),C)),add(add(B,multiply(A,B)),add(multiply(A,C),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,139]),16,16,16,815]),
[iquote('para(16,139),demod([16,16,16,815])')] ).
cnf(1258,plain,
equal(add(add(A,multiply(B,A)),add(multiply(B,C),C)),add(add(multiply(B,A),A),add(multiply(C,B),C))),
inference(flip,[status(thm),theory(equality)],[1257]),
[iquote('flip(1257)')] ).
cnf(1370,plain,
equal(add(add(A,multiply(B,A)),add(C,multiply(C,B))),add(add(A,C),add(multiply(B,A),multiply(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,141]),16,16,16]),
[iquote('para(16,141),demod([16,16,16])')] ).
cnf(1371,plain,
equal(add(add(A,B),add(multiply(C,A),multiply(C,B))),add(add(A,multiply(C,A)),add(B,multiply(B,C)))),
inference(flip,[status(thm),theory(equality)],[1370]),
[iquote('flip(1370)')] ).
cnf(1626,plain,
equal(add(add(add(A,multiply(B,A)),multiply(C,A)),add(add(D,multiply(B,D)),multiply(C,D))),add(add(add(A,multiply(B,A)),add(D,multiply(B,D))),add(multiply(C,A),multiply(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,145]),16,16,16]),
[iquote('para(16,145),demod([16,16,16])')] ).
cnf(1627,plain,
equal(add(add(add(A,multiply(B,A)),add(C,multiply(B,C))),add(multiply(D,A),multiply(D,C))),add(add(add(A,multiply(B,A)),multiply(D,A)),add(add(C,multiply(B,C)),multiply(D,C)))),
inference(flip,[status(thm),theory(equality)],[1626]),
[iquote('flip(1626)')] ).
cnf(1809,plain,
equal(add(add(multiply(A,B),add(multiply(C,B),B)),add(multiply(A,D),add(multiply(C,D),D))),add(add(multiply(A,B),multiply(A,D)),add(add(multiply(C,B),B),add(multiply(C,D),D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,147]),16,16,16]),
[iquote('para(16,147),demod([16,16,16])')] ).
cnf(1810,plain,
equal(add(add(multiply(A,B),multiply(A,C)),add(add(multiply(D,B),B),add(multiply(D,C),C))),add(add(multiply(A,B),add(multiply(D,B),B)),add(multiply(A,C),add(multiply(D,C),C)))),
inference(flip,[status(thm),theory(equality)],[1809]),
[iquote('flip(1809)')] ).
cnf(1857,plain,
equal(add(inverse(a),multiply(inverse(a),inverse(b))),multiply(inverse(a),d)),
inference(para,[status(thm),theory(equality)],[216,100]),
[iquote('para(216,100)')] ).
cnf(1863,plain,
equal(add(multiply(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[281,5]),16,16]),1]),
[iquote('para(281,5),demod([16,16]),flip(1)')] ).
cnf(1869,plain,
equal(add(add(A,multiply(B,A)),C),add(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1810]),1863,1863,815,1863,1863,1863,1863,1863]),
[iquote('back_demod(1810),demod([1863,1863,815,1863,1863,1863,1863,1863])')] ).
cnf(1875,plain,
equal(add(add(A,add(B,multiply(C,B))),add(multiply(D,A),multiply(D,B))),add(A,add(B,multiply(D,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1627]),1869,1869,1869,1869]),
[iquote('back_demod(1627),demod([1869,1869,1869,1869])')] ).
cnf(1876,plain,
equal(add(add(A,B),add(multiply(C,A),multiply(C,B))),add(A,add(B,multiply(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1371]),1869]),
[iquote('back_demod(1371),demod([1869])')] ).
cnf(1877,plain,
equal(add(A,add(B,multiply(B,C))),add(add(A,B),add(multiply(C,A),multiply(C,B)))),
inference(flip,[status(thm),theory(equality)],[1876]),
[iquote('flip(1876)')] ).
cnf(1878,plain,
equal(add(A,add(multiply(B,C),B)),add(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1258]),1863,1869,1863]),1]),
[iquote('back_demod(1258),demod([1863,1869,1863]),flip(1)')] ).
cnf(1882,plain,
equal(add(c,a),a),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[835]),1878]),
[iquote('back_demod(835),demod([1878])')] ).
cnf(1892,plain,
equal(add(c,b),b),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[781]),1878]),
[iquote('back_demod(781),demod([1878])')] ).
cnf(1902,plain,
equal(add(add(multiply(A,B),A),C),add(add(A,multiply(A,B)),add(C,multiply(C,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[735]),1878]),
[iquote('back_demod(735),demod([1878])')] ).
cnf(1903,plain,
equal(add(add(A,multiply(A,B)),add(C,multiply(C,B))),add(add(multiply(A,B),A),C)),
inference(flip,[status(thm),theory(equality)],[1902]),
[iquote('flip(1902)')] ).
cnf(1904,plain,
equal(add(multiply(A,B),A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[532]),1878,1863,1863]),
[iquote('back_demod(532),demod([1878,1863,1863])')] ).
cnf(1905,plain,
equal(add(add(A,multiply(A,B)),add(C,multiply(C,B))),add(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1903]),1904]),
[iquote('back_demod(1903),demod([1904])')] ).
cnf(1916,plain,
equal(add(A,add(B,multiply(C,B))),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[635]),1869,1905]),
[iquote('back_demod(635),demod([1869,1905])')] ).
cnf(1917,plain,
equal(add(add(A,B),add(multiply(C,A),multiply(C,B))),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1875]),1916,1916]),
[iquote('back_demod(1875),demod([1916,1916])')] ).
cnf(1918,plain,
equal(add(A,add(B,multiply(B,C))),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1877]),1917]),
[iquote('back_demod(1877),demod([1917])')] ).
cnf(1919,plain,
equal(add(add(A,multiply(A,B)),C),add(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1905]),1918]),
[iquote('back_demod(1905),demod([1918])')] ).
cnf(1931,plain,
equal(add(A,multiply(B,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[239]),1919]),
[iquote('back_demod(239),demod([1919])')] ).
cnf(1936,plain,
equal(add(A,add(multiply(a,A),c)),add(A,c)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[228]),1919]),
[iquote('back_demod(228),demod([1919])')] ).
cnf(1944,plain,
equal(add(A,multiply(A,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[488]),1904,1863,1931]),
[iquote('back_demod(488),demod([1904,1863,1931])')] ).
cnf(1945,plain,
equal(multiply(inverse(a),d),inverse(a)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1857]),1944]),1]),
[iquote('back_demod(1857),demod([1944]),flip(1)')] ).
cnf(2139,plain,
equal(add(multiply(a,d),inverse(b)),inverse(b)),
inference(para,[status(thm),theory(equality)],[370,1863]),
[iquote('para(370,1863)')] ).
cnf(2502,plain,
equal(add(a,d),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1945,223]),11]),1]),
[iquote('para(1945,223),demod([11]),flip(1)')] ).
cnf(2505,plain,
equal(add(d,a),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2502,1]),1]),
[iquote('para(2502,1),flip(1)')] ).
cnf(2594,plain,
equal(add(d,c),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[371,1936]),2505]),1]),
[iquote('para(371,1936),demod([2505]),flip(1)')] ).
cnf(2711,plain,
equal(add(multiply(c,A),multiply(a,A)),multiply(a,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1882,5]),1]),
[iquote('para(1882,5),flip(1)')] ).
cnf(2712,plain,
equal(multiply(a,c),c),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[216,2711]),1931]),1]),
[iquote('para(216,2711),demod([1931]),flip(1)')] ).
cnf(2722,plain,
equal(add(inverse(c),a),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2712,188]),12]),1]),
[iquote('para(2712,188),demod([12]),flip(1)')] ).
cnf(2836,plain,
equal(add(multiply(c,A),multiply(b,A)),multiply(b,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1892,5]),1]),
[iquote('para(1892,5),flip(1)')] ).
cnf(3288,plain,
equal(add(multiply(d,A),multiply(c,A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2594,5]),16]),1]),
[iquote('para(2594,5),demod([16]),flip(1)')] ).
cnf(3290,plain,
equal(multiply(d,inverse(c)),inverse(c)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,3288]),17]),
[iquote('para(13,3288),demod([17])')] ).
cnf(3309,plain,
equal(multiply(inverse(c),d),inverse(c)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3290,2]),1]),
[iquote('para(3290,2),flip(1)')] ).
cnf(4718,plain,
equal(add(multiply(inverse(c),A),multiply(a,A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2722,5]),16]),1]),
[iquote('para(2722,5),demod([16]),flip(1)')] ).
cnf(4732,plain,
equal(add(inverse(c),multiply(a,d)),d),
inference(para,[status(thm),theory(equality)],[3309,4718]),
[iquote('para(3309,4718)')] ).
cnf(4737,plain,
equal(add(multiply(a,d),inverse(c)),d),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4732,1]),1]),
[iquote('para(4732,1),flip(1)')] ).
cnf(5143,plain,
equal(multiply(inverse(add(A,B)),A),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[216,347]),1931]),
[iquote('para(216,347),demod([1931])')] ).
cnf(5771,plain,
equal(multiply(b,multiply(a,d)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2139,5143]),215]),
[iquote('para(2139,5143),demod([215])')] ).
cnf(10273,plain,
equal(multiply(c,multiply(a,d)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5771,2836]),17,5771]),
[iquote('para(5771,2836),demod([17,5771])')] ).
cnf(10925,plain,
equal(multiply(inverse(c),multiply(a,d)),multiply(a,d)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10273,56]),18]),
[iquote('para(10273,56),demod([18])')] ).
cnf(12111,plain,
equal(inverse(c),d),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10925,1904]),4737]),1]),
[iquote('para(10925,1904),demod([4737]),flip(1)')] ).
cnf(12112,plain,
$false,
inference(conflict,[status(thm)],[12111,21]),
[iquote('conflict(12111,21)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.04/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 23:57:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.43/3.78 ----- EQP 0.9e, May 2009 -----
% 3.43/3.78 The job began on n026.cluster.edu, Wed Jun 1 23:57:13 2022
% 3.43/3.78 The command was "./eqp09e".
% 3.43/3.78
% 3.43/3.78 set(prolog_style_variables).
% 3.43/3.78 set(lrpo).
% 3.43/3.78 set(basic_paramod).
% 3.43/3.78 set(functional_subsume).
% 3.43/3.78 set(ordered_paramod).
% 3.43/3.78 set(prime_paramod).
% 3.43/3.78 set(para_pairs).
% 3.43/3.78 assign(pick_given_ratio,4).
% 3.43/3.78 clear(print_kept).
% 3.43/3.78 clear(print_new_demod).
% 3.43/3.78 clear(print_back_demod).
% 3.43/3.78 clear(print_given).
% 3.43/3.78 assign(max_mem,64000).
% 3.43/3.78 end_of_commands.
% 3.43/3.78
% 3.43/3.78 Usable:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Sos:
% 3.43/3.78 0 (wt=-1) [] add(A,B) = add(B,A).
% 3.43/3.78 0 (wt=-1) [] multiply(A,B) = multiply(B,A).
% 3.43/3.78 0 (wt=-1) [] add(multiply(A,B),C) = multiply(add(A,C),add(B,C)).
% 3.43/3.78 0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(A,B),add(A,C)).
% 3.43/3.78 0 (wt=-1) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 0 (wt=-1) [] add(A,inverse(A)) = multiplicative_identity.
% 3.43/3.78 0 (wt=-1) [] add(inverse(A),A) = multiplicative_identity.
% 3.43/3.78 0 (wt=-1) [] multiply(A,inverse(A)) = additive_identity.
% 3.43/3.78 0 (wt=-1) [] multiply(inverse(A),A) = additive_identity.
% 3.43/3.78 0 (wt=-1) [] multiply(A,multiplicative_identity) = A.
% 3.43/3.78 0 (wt=-1) [] multiply(multiplicative_identity,A) = A.
% 3.43/3.78 0 (wt=-1) [] add(A,additive_identity) = A.
% 3.43/3.78 0 (wt=-1) [] add(additive_identity,A) = A.
% 3.43/3.78 0 (wt=-1) [] multiply(a,b) = c.
% 3.43/3.78 0 (wt=-1) [] add(inverse(a),inverse(b)) = d.
% 3.43/3.78 0 (wt=-1) [] -(inverse(c) = d).
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Demodulators:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Passive:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Starting to process input.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 3.43/3.78 clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 3.43/3.78
% 3.43/3.78 ** KEPT: 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 3.43/3.78 clause forward subsumed: 0 (wt=7) [flip(2)] multiply(B,A) = multiply(A,B).
% 3.43/3.78
% 3.43/3.78 ** KEPT: 3 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(multiply(A,C),B).
% 3.43/3.78 3 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 4 (wt=13) [flip(1)] multiply(add(A,B),add(A,C)) = add(A,multiply(B,C)).
% 3.43/3.78 4 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 5 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 5 is a new demodulator.
% 3.43/3.78 -> 5 back demodulating 4.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 6 (wt=17) [back_demod(4),demod([5])] add(multiply(A,add(A,B)),multiply(C,add(A,B))) = add(A,multiply(C,B)).
% 3.43/3.78 6 is a new demodulator.
% 3.43/3.78 -> 5 back demodulating 3.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 7 (wt=17) [back_demod(3),demod([5])] add(multiply(A,add(B,C)),multiply(C,add(B,C))) = add(multiply(A,B),C).
% 3.43/3.78 7 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 8 is a new demodulator.
% 3.43/3.78 -> 8 back demodulating 7.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 9 (wt=21) [back_demod(7),demod([8,8])] add(add(multiply(A,B),multiply(A,C)),add(multiply(C,B),multiply(C,C))) = add(multiply(A,B),C).
% 3.43/3.78 9 is a new demodulator.
% 3.43/3.78 -> 8 back demodulating 6.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 10 (wt=21) [back_demod(6),demod([8,8])] add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))) = add(A,multiply(C,B)).
% 3.43/3.78 10 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 11 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.43/3.78 11 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 12 (wt=6) [] add(inverse(A),A) = multiplicative_identity.
% 3.43/3.78 12 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 13 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.43/3.78 13 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 14 (wt=6) [] multiply(inverse(A),A) = additive_identity.
% 3.43/3.78 14 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 15 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.43/3.78 15 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 16 (wt=5) [] multiply(multiplicative_identity,A) = A.
% 3.43/3.78 16 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 17 (wt=5) [] add(A,additive_identity) = A.
% 3.43/3.78 17 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 18 (wt=5) [] add(additive_identity,A) = A.
% 3.43/3.78 18 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 19 (wt=5) [] multiply(a,b) = c.
% 3.43/3.78 19 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 20 (wt=7) [] add(inverse(a),inverse(b)) = d.
% 3.43/3.78 20 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 21 (wt=4) [] -(inverse(c) = d).
% 3.43/3.78 ---------------- PROOF FOUND ----------------
% 3.43/3.78 % SZS status Unsatisfiable
% 3.43/3.78
% 3.43/3.78
% 3.43/3.78 After processing input:
% 3.43/3.78
% 3.43/3.78 Usable:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Sos:
% 3.43/3.78 21 (wt=4) [] -(inverse(c) = d).
% 3.43/3.78 15 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.43/3.78 16 (wt=5) [] multiply(multiplicative_identity,A) = A.
% 3.43/3.78 17 (wt=5) [] add(A,additive_identity) = A.
% 3.43/3.78 18 (wt=5) [] add(additive_identity,A) = A.
% 3.43/3.78 19 (wt=5) [] multiply(a,b) = c.
% 3.43/3.78 11 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.43/3.78 12 (wt=6) [] add(inverse(A),A) = multiplicative_identity.
% 3.43/3.78 13 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.43/3.78 14 (wt=6) [] multiply(inverse(A),A) = additive_identity.
% 3.43/3.78 1 (wt=7) [] add(A,B) = add(B,A).
% 3.43/3.78 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 3.43/3.78 20 (wt=7) [] add(inverse(a),inverse(b)) = d.
% 3.43/3.78 5 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 9 (wt=21) [back_demod(7),demod([8,8])] add(add(multiply(A,B),multiply(A,C)),add(multiply(C,B),multiply(C,C))) = add(multiply(A,B),C).
% 3.43/3.78 10 (wt=21) [back_demod(6),demod([8,8])] add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))) = add(A,multiply(C,B)).
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Demodulators:
% 3.43/3.78 5 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 9 (wt=21) [back_demod(7),demod([8,8])] add(add(multiply(A,B),multiply(A,C)),add(multiply(C,B),multiply(C,C))) = add(multiply(A,B),C).
% 3.43/3.78 10 (wt=21) [back_demod(6),demod([8,8])] add(add(multiply(A,A),multiply(A,B)),add(multiply(C,A),multiply(C,B))) = add(A,multiply(C,B)).
% 3.43/3.78 11 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.43/3.78 12 (wt=6) [] add(inverse(A),A) = multiplicative_identity.
% 3.43/3.78 13 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.43/3.78 14 (wt=6) [] multiply(inverse(A),A) = additive_identity.
% 3.43/3.78 15 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.43/3.78 16 (wt=5) [] multiply(multiplicative_identity,A) = A.
% 3.43/3.78 17 (wt=5) [] add(A,additive_identity) = A.
% 3.43/3.78 18 (wt=5) [] add(additive_identity,A) = A.
% 3.43/3.78 19 (wt=5) [] multiply(a,b) = c.
% 3.43/3.78 20 (wt=7) [] add(inverse(a),inverse(b)) = d.
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Passive:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 UNIT CONFLICT from 12111 and 21 at 1.82 seconds.
% 3.43/3.78
% 3.43/3.78 ---------------- PROOF ----------------
% 3.43/3.78 % SZS output start Refutation
% See solution above
% 3.43/3.78 ------------ end of proof -------------
% 3.43/3.78
% 3.43/3.78
% 3.43/3.78 ------------- memory usage ------------
% 3.43/3.78 Memory dynamically allocated (tp_alloc): 27343.
% 3.43/3.78 type (bytes each) gets frees in use avail bytes
% 3.43/3.78 sym_ent ( 96) 60 0 60 0 5.6 K
% 3.43/3.78 term ( 16) 1808031 1375368 432663 59 8404.3 K
% 3.43/3.78 gen_ptr ( 8) 2189719 295473 1894246 126 14799.8 K
% 3.43/3.78 context ( 808) 2134565 2134563 2 4 4.7 K
% 3.43/3.78 trail ( 12) 919304 919304 0 5 0.1 K
% 3.43/3.78 bt_node ( 68) 1100566 1100563 3 30 2.2 K
% 3.43/3.78 ac_position (285432) 0 0 0 0 0.0 K
% 3.43/3.78 ac_match_pos (14044) 0 0 0 0 0.0 K
% 3.43/3.78 ac_match_free_vars_pos (4020)
% 3.43/3.78 0 0 0 0 0.0 K
% 3.43/3.78 discrim ( 12) 225693 39647 186046 40 2180.7 K
% 3.43/3.78 flat ( 40) 4573236 4573236 0 95 3.7 K
% 3.43/3.78 discrim_pos ( 12) 105133 105133 0 1 0.0 K
% 3.43/3.78 fpa_head ( 12) 6923 0 6923 0 81.1 K
% 3.43/3.78 fpa_tree ( 28) 20518 20518 0 35 1.0 K
% 3.43/3.78 fpa_pos ( 36) 15336 15336 0 1 0.0 K
% 3.43/3.78 literal ( 12) 72423 60312 12111 1 141.9 K
% 3.43/3.78 clause ( 24) 72423 60312 12111 1 283.9 K
% 3.43/3.78 list ( 12) 3284 3228 56 11 0.8 K
% 3.43/3.78 list_pos ( 20) 43699 9106 34593 16 676.0 K
% 3.43/3.78 pair_index ( 40) 2 0 2 0 0.1 K
% 3.43/3.78
% 3.43/3.78 -------------- statistics -------------
% 3.43/3.78 Clauses input 17
% 3.43/3.78 Usable input 0
% 3.43/3.78 Sos input 17
% 3.43/3.78 Demodulators input 0
% 3.43/3.78 Passive input 0
% 3.43/3.78
% 3.43/3.78 Processed BS (before search) 23
% 3.43/3.78 Forward subsumed BS 2
% 3.43/3.78 Kept BS 21
% 3.43/3.78 New demodulators BS 18
% 3.43/3.78 Back demodulated BS 4
% 3.43/3.78
% 3.43/3.78 Clauses or pairs given 125602
% 3.43/3.78 Clauses generated 42936
% 3.43/3.78 Forward subsumed 30846
% 3.43/3.78 Deleted by weight 0
% 3.43/3.78 Deleted by variable count 0
% 3.43/3.78 Kept 12090
% 3.43/3.78 New demodulators 3207
% 3.43/3.78 Back demodulated 1874
% 3.43/3.78 Ordered paramod prunes 0
% 3.43/3.78 Basic paramod prunes 577523
% 3.43/3.78 Prime paramod prunes 1126
% 3.43/3.78 Semantic prunes 0
% 3.43/3.78
% 3.43/3.78 Rewrite attmepts 820150
% 3.43/3.78 Rewrites 90402
% 3.43/3.78
% 3.43/3.78 FPA overloads 0
% 3.43/3.78 FPA underloads 0
% 3.43/3.78
% 3.43/3.78 Usable size 0
% 3.43/3.78 Sos size 10232
% 3.43/3.78 Demodulators size 2019
% 3.43/3.78 Passive size 0
% 3.43/3.78 Disabled size 1878
% 3.43/3.78
% 3.43/3.78 Proofs found 1
% 3.43/3.78
% 3.43/3.78 ----------- times (seconds) ----------- Wed Jun 1 23:57:15 2022
% 3.43/3.78
% 3.43/3.78 user CPU time 1.82 (0 hr, 0 min, 1 sec)
% 3.43/3.78 system CPU time 0.77 (0 hr, 0 min, 0 sec)
% 3.43/3.78 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 3.43/3.78 input time 0.00
% 3.43/3.78 paramodulation time 0.24
% 3.43/3.78 demodulation time 0.19
% 3.43/3.78 orient time 0.09
% 3.43/3.78 weigh time 0.02
% 3.43/3.78 forward subsume time 0.07
% 3.43/3.78 back demod find time 0.14
% 3.43/3.78 conflict time 0.01
% 3.43/3.78 LRPO time 0.04
% 3.43/3.78 store clause time 0.73
% 3.43/3.78 disable clause time 0.08
% 3.43/3.78 prime paramod time 0.03
% 3.43/3.78 semantics time 0.00
% 3.43/3.78
% 3.43/3.78 EQP interrupted
%------------------------------------------------------------------------------