TSTP Solution File: LAT023-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n020.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 : Sun Jul 17 04:34:19 EDT 2022
% Result : Unsatisfiable 1.45s 1.88s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 10
% Syntax : Number of clauses : 172 ( 172 unt; 0 nHn; 4 RR)
% Number of literals : 172 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 478 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT023-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(A,A),A),
file('LAT023-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,B),meet(B,A)),
file('LAT023-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,B),join(B,A)),
file('LAT023-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT023-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT023-1.p',unknown),
[] ).
cnf(7,plain,
equal(join(meet(A,join(B,C)),meet(A,B)),meet(A,join(B,C))),
file('LAT023-1.p',unknown),
[] ).
cnf(8,plain,
equal(meet(join(A,meet(B,C)),join(A,B)),join(A,meet(B,C))),
file('LAT023-1.p',unknown),
[] ).
cnf(9,plain,
equal(join(meet(join(A,B),C),B),join(meet(join(C,B),A),B)),
file('LAT023-1.p',unknown),
[] ).
cnf(10,plain,
~ equal(meet(a,join(b,meet(a,c))),join(meet(a,b),meet(a,c))),
file('LAT023-1.p',unknown),
[] ).
cnf(11,plain,
equal(meet(A,meet(A,B)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,5]),1]),
[iquote('para(1,5),flip(1)')] ).
cnf(13,plain,
equal(meet(A,meet(B,A)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[3,11]),
[iquote('para(3,11)')] ).
cnf(16,plain,
equal(meet(A,meet(B,C)),meet(B,meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),5]),
[iquote('para(3,5),demod([5])')] ).
cnf(18,plain,
equal(join(A,join(A,B)),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,6]),1]),
[iquote('para(2,6),flip(1)')] ).
cnf(19,plain,
equal(join(A,join(B,A)),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,4]),6]),1]),
[iquote('para(18,4),demod([6]),flip(1)')] ).
cnf(20,plain,
equal(join(A,join(B,C)),join(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(21,plain,
equal(join(A,join(B,C)),join(B,join(C,A))),
inference(flip,[status(thm),theory(equality)],[20]),
[iquote('flip(20)')] ).
cnf(22,plain,
equal(join(A,join(B,C)),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,6]),6]),
[iquote('para(4,6),demod([6])')] ).
cnf(24,plain,
equal(join(meet(A,join(A,B)),A),meet(A,join(A,B))),
inference(para,[status(thm),theory(equality)],[1,7]),
[iquote('para(1,7)')] ).
cnf(25,plain,
equal(join(meet(join(A,B),C),meet(C,A)),meet(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(26,plain,
equal(meet(A,join(B,C)),join(meet(join(B,C),A),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[25]),
[iquote('flip(25)')] ).
cnf(27,plain,
equal(join(meet(A,join(B,C)),meet(B,A)),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(28,plain,
equal(join(meet(A,B),meet(A,join(B,C))),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,4]),1]),
[iquote('para(7,4),flip(1)')] ).
cnf(29,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(A,join(C,B))),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(30,plain,
equal(meet(A,join(B,C)),join(meet(A,join(C,B)),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[29]),
[iquote('flip(29)')] ).
cnf(39,plain,
equal(meet(A,meet(B,join(meet(A,B),A))),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,8]),5,2]),
[iquote('para(2,8),demod([5,2])')] ).
cnf(40,plain,
equal(meet(join(A,meet(A,B)),A),join(A,meet(A,B))),
inference(para,[status(thm),theory(equality)],[2,8]),
[iquote('para(2,8)')] ).
cnf(41,plain,
equal(meet(join(A,B),join(A,meet(B,C))),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,3]),1]),
[iquote('para(8,3),flip(1)')] ).
cnf(42,plain,
equal(meet(join(A,meet(B,C)),join(A,C)),join(A,meet(C,B))),
inference(para,[status(thm),theory(equality)],[3,8]),
[iquote('para(3,8)')] ).
cnf(43,plain,
equal(meet(A,meet(B,meet(A,C))),meet(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),5,5]),1]),
[iquote('para(13,5),demod([5,5]),flip(1)')] ).
cnf(46,plain,
equal(meet(join(meet(A,B),C),join(C,A)),join(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[4,8]),
[iquote('para(4,8)')] ).
cnf(49,plain,
equal(meet(join(A,meet(B,C)),meet(join(A,B),D)),meet(join(A,meet(B,C)),D)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,5]),1]),
[iquote('para(8,5),flip(1)')] ).
cnf(54,plain,
equal(meet(join(meet(A,join(B,C)),meet(A,meet(B,D))),meet(A,join(B,C))),join(meet(A,join(B,C)),meet(A,meet(B,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,8]),5,5]),
[iquote('para(7,8),demod([5,5])')] ).
cnf(59,plain,
equal(join(meet(join(A,B),A),B),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,9]),6,2,6,2]),1]),
[iquote('para(1,9),demod([6,2,6,2]),flip(1)')] ).
cnf(60,plain,
equal(join(meet(A,join(A,B)),B),join(A,B)),
inference(para,[status(thm),theory(equality)],[3,59]),
[iquote('para(3,59)')] ).
cnf(64,plain,
equal(join(meet(join(A,B),C),B),join(meet(A,join(C,B)),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,9]),1]),
[iquote('para(3,9),flip(1)')] ).
cnf(66,plain,
equal(join(A,meet(B,join(B,A))),join(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[60,4]),1]),
[iquote('para(60,4),flip(1)')] ).
cnf(72,plain,
equal(join(A,join(B,join(A,C))),join(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,6]),6,6]),1]),
[iquote('para(19,6),demod([6,6]),flip(1)')] ).
cnf(74,plain,
equal(join(A,join(B,join(C,A))),join(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[6,19]),
[iquote('para(6,19)')] ).
cnf(76,plain,
equal(join(A,join(B,C)),join(C,join(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,20]),6,19]),
[iquote('para(19,20),demod([6,19])')] ).
cnf(96,plain,
equal(join(meet(A,join(B,A)),A),meet(A,join(A,B))),
inference(para,[status(thm),theory(equality)],[4,24]),
[iquote('para(4,24)')] ).
cnf(99,plain,
equal(meet(A,meet(join(meet(B,A),B),B)),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,3]),5]),1]),
[iquote('para(39,3),demod([5]),flip(1)')] ).
cnf(106,plain,
equal(meet(join(meet(A,B),A),A),join(A,meet(A,B))),
inference(para,[status(thm),theory(equality)],[4,40]),
[iquote('para(4,40)')] ).
cnf(107,plain,
equal(meet(A,join(B,meet(B,A))),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[99]),106]),
[iquote('back_demod(99),demod([106])')] ).
cnf(113,plain,
equal(meet(A,join(meet(B,A),B)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[4,107]),
[iquote('para(4,107)')] ).
cnf(120,plain,
equal(meet(join(meet(A,B),A),B),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[113,3]),1]),
[iquote('para(113,3),flip(1)')] ).
cnf(128,plain,
equal(join(A,join(B,join(C,D))),join(B,join(C,join(D,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,6]),6]),
[iquote('para(20,6),demod([6])')] ).
cnf(152,plain,
equal(join(meet(A,B),B),meet(B,join(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,96]),64,2]),
[iquote('para(3,96),demod([64,2])')] ).
cnf(158,plain,
equal(meet(A,join(A,B)),join(meet(A,B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,152]),1]),
[iquote('para(3,152),flip(1)')] ).
cnf(163,plain,
equal(join(A,join(meet(B,A),B)),join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[66]),158]),
[iquote('back_demod(66),demod([158])')] ).
cnf(165,plain,
equal(meet(join(A,B),A),join(meet(A,B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[158,3]),1]),
[iquote('para(158,3),flip(1)')] ).
cnf(166,plain,
equal(join(meet(A,meet(join(B,C),meet(B,D))),meet(A,join(B,C))),join(meet(A,join(B,C)),meet(A,meet(B,D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[54]),165,5,43]),
[iquote('back_demod(54),demod([165,5,43])')] ).
cnf(167,plain,
equal(meet(A,join(B,A)),join(meet(A,B),A)),
inference(para,[status(thm),theory(equality)],[4,158]),
[iquote('para(4,158)')] ).
cnf(174,plain,
equal(meet(join(A,B),B),join(meet(B,A),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[167,3]),1]),
[iquote('para(167,3),flip(1)')] ).
cnf(179,plain,
equal(meet(A,join(B,C)),join(meet(A,B),meet(join(B,C),A))),
inference(para,[status(thm),theory(equality)],[25,4]),
[iquote('para(25,4)')] ).
cnf(181,plain,
equal(join(meet(A,B),join(meet(B,A),B)),join(B,meet(A,B))),
inference(para,[status(thm),theory(equality)],[13,163]),
[iquote('para(13,163)')] ).
cnf(191,plain,
equal(join(A,join(meet(B,C),meet(A,B))),join(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,25]),165,6,74,41]),
[iquote('para(8,25),demod([165,6,74,41])')] ).
cnf(219,plain,
equal(join(meet(A,B),meet(B,A)),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,26]),2]),1]),
[iquote('para(2,26),demod([2]),flip(1)')] ).
cnf(220,plain,
equal(join(meet(join(A,B),C),meet(C,A)),meet(join(A,B),C)),
inference(para,[status(thm),theory(equality)],[26,3]),
[iquote('para(26,3)')] ).
cnf(249,plain,
equal(meet(A,meet(join(B,C),join(meet(A,B),A))),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,8]),5,28]),
[iquote('para(28,8),demod([5,28])')] ).
cnf(299,plain,
equal(meet(A,meet(join(meet(B,A),B),C)),meet(B,meet(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[113,5]),5]),1]),
[iquote('para(113,5),demod([5]),flip(1)')] ).
cnf(336,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(join(C,B),A)),
inference(para,[status(thm),theory(equality)],[30,3]),
[iquote('para(30,3)')] ).
cnf(337,plain,
equal(meet(join(A,B),C),join(meet(C,join(B,A)),meet(C,A))),
inference(flip,[status(thm),theory(equality)],[336]),
[iquote('flip(336)')] ).
cnf(338,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,30]),1]),
[iquote('para(4,30),flip(1)')] ).
cnf(339,plain,
equal(meet(join(A,B),C),meet(C,join(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[337]),338]),
[iquote('back_demod(337),demod([338])')] ).
cnf(340,plain,
equal(meet(A,join(B,C)),meet(join(C,B),A)),
inference(flip,[status(thm),theory(equality)],[339]),
[iquote('flip(339)')] ).
cnf(375,plain,
equal(meet(join(meet(A,B),A),meet(B,C)),meet(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[120,5]),5]),1]),
[iquote('para(120,5),demod([5]),flip(1)')] ).
cnf(402,plain,
equal(meet(join(meet(A,B),A),C),meet(A,meet(join(A,B),C))),
inference(para,[status(thm),theory(equality)],[158,5]),
[iquote('para(158,5)')] ).
cnf(405,plain,
equal(meet(A,meet(join(A,B),meet(B,C))),meet(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[375]),402]),
[iquote('back_demod(375),demod([402])')] ).
cnf(409,plain,
equal(meet(A,meet(B,meet(join(B,A),C))),meet(B,meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[299]),402]),
[iquote('back_demod(299),demod([402])')] ).
cnf(423,plain,
equal(meet(A,join(meet(B,C),B)),meet(B,meet(A,join(B,C)))),
inference(para,[status(thm),theory(equality)],[158,16]),
[iquote('para(158,16)')] ).
cnf(424,plain,
equal(meet(A,meet(B,join(A,C))),meet(B,join(meet(A,C),A))),
inference(flip,[status(thm),theory(equality)],[423]),
[iquote('flip(423)')] ).
cnf(430,plain,
equal(meet(A,join(B,join(C,A))),join(meet(A,join(B,C)),A)),
inference(para,[status(thm),theory(equality)],[21,158]),
[iquote('para(21,158)')] ).
cnf(431,plain,
equal(meet(A,join(B,join(A,C))),join(meet(A,join(B,C)),A)),
inference(para,[status(thm),theory(equality)],[22,158]),
[iquote('para(22,158)')] ).
cnf(503,plain,
equal(join(meet(A,B),A),join(A,meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[163,167]),402,1,158,402,174,113,181]),
[iquote('para(163,167),demod([402,1,158,402,174,113,181])')] ).
cnf(504,plain,
equal(join(A,meet(B,A)),join(meet(A,B),A)),
inference(flip,[status(thm),theory(equality)],[503]),
[iquote('flip(503)')] ).
cnf(554,plain,
equal(meet(join(A,meet(B,join(A,C))),join(A,C)),join(A,meet(join(A,C),B))),
inference(para,[status(thm),theory(equality)],[18,42]),
[iquote('para(18,42)')] ).
cnf(567,plain,
equal(meet(A,join(meet(join(B,C),meet(A,B)),join(B,C))),join(meet(A,B),meet(join(B,C),A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,42]),5,167]),
[iquote('para(28,42),demod([5,167])')] ).
cnf(588,plain,
equal(meet(A,meet(join(A,B),C)),meet(join(B,A),meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[174,5]),402]),
[iquote('para(174,5),demod([402])')] ).
cnf(589,plain,
equal(meet(join(A,B),meet(B,C)),meet(B,meet(join(B,A),C))),
inference(flip,[status(thm),theory(equality)],[588]),
[iquote('flip(588)')] ).
cnf(606,plain,
equal(join(meet(A,B),join(meet(B,A),C)),join(meet(B,A),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[219,6]),1]),
[iquote('para(219,6),flip(1)')] ).
cnf(614,plain,
equal(join(A,meet(B,C)),join(meet(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[219,76]),606]),
[iquote('para(219,76),demod([606])')] ).
cnf(633,plain,
equal(meet(join(A,join(B,C)),join(C,B)),join(meet(join(B,C),A),join(B,C))),
inference(para,[status(thm),theory(equality)],[339,167]),
[iquote('para(339,167)')] ).
cnf(679,plain,
equal(meet(join(meet(join(A,B),C),A),join(A,B)),join(A,meet(join(A,B),C))),
inference(para,[status(thm),theory(equality)],[18,46]),
[iquote('para(18,46)')] ).
cnf(686,plain,
equal(join(A,meet(join(B,A),C)),join(A,meet(B,join(C,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,46]),64,46]),1]),
[iquote('para(19,46),demod([64,46]),flip(1)')] ).
cnf(804,plain,
equal(join(A,join(B,meet(join(B,A),C))),join(meet(join(A,B),C),join(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[340,504]),6]),
[iquote('para(340,504),demod([6])')] ).
cnf(805,plain,
equal(join(meet(join(A,B),C),join(A,B)),join(A,join(B,meet(join(B,A),C)))),
inference(flip,[status(thm),theory(equality)],[804]),
[iquote('flip(804)')] ).
cnf(867,plain,
equal(join(meet(join(A,B),C),A),join(meet(B,join(C,A)),A)),
inference(para,[status(thm),theory(equality)],[4,64]),
[iquote('para(4,64)')] ).
cnf(870,plain,
equal(join(A,meet(join(A,B),C)),join(A,meet(B,join(C,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[679]),867,46]),1]),
[iquote('back_demod(679),demod([867,46]),flip(1)')] ).
cnf(871,plain,
equal(join(meet(join(A,B),C),join(A,B)),join(A,join(B,meet(A,join(C,B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[805]),870]),
[iquote('back_demod(805),demod([870])')] ).
cnf(875,plain,
equal(meet(join(A,join(B,C)),join(C,B)),join(B,join(C,meet(B,join(A,C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[633]),871]),
[iquote('back_demod(633),demod([871])')] ).
cnf(876,plain,
equal(meet(A,join(B,join(C,meet(B,join(meet(A,B),C))))),join(meet(A,B),meet(join(B,C),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[567]),871]),
[iquote('back_demod(567),demod([871])')] ).
cnf(877,plain,
equal(join(meet(A,B),meet(join(B,C),A)),meet(A,join(B,join(C,meet(B,join(meet(A,B),C)))))),
inference(flip,[status(thm),theory(equality)],[876]),
[iquote('flip(876)')] ).
cnf(887,plain,
equal(meet(join(A,meet(B,join(A,C))),join(A,C)),join(A,meet(C,join(B,A)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[554]),870]),
[iquote('back_demod(554),demod([870])')] ).
cnf(916,plain,
equal(join(meet(A,B),meet(join(B,C),A)),meet(join(B,C),A)),
inference(para,[status(thm),theory(equality)],[179,3]),
[iquote('para(179,3)')] ).
cnf(917,plain,
equal(meet(join(A,B),C),meet(C,join(A,join(B,meet(A,join(meet(C,A),B)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[877]),916]),
[iquote('back_demod(877),demod([916])')] ).
cnf(918,plain,
equal(meet(A,join(B,join(C,meet(B,join(meet(A,B),C))))),meet(join(B,C),A)),
inference(flip,[status(thm),theory(equality)],[917]),
[iquote('flip(917)')] ).
cnf(922,plain,
equal(join(A,join(meet(B,C),meet(B,A))),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[3,191]),
[iquote('para(3,191)')] ).
cnf(926,plain,
equal(join(A,join(meet(A,B),meet(B,C))),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,191]),
[iquote('para(4,191)')] ).
cnf(1080,plain,
equal(join(meet(A,meet(B,join(C,A))),C),join(C,meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[46,64]),6,19,6,19,5]),1]),
[iquote('para(46,64),demod([6,19,6,19,5]),flip(1)')] ).
cnf(1098,plain,
equal(meet(join(A,B),meet(B,C)),meet(join(B,A),meet(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[588,3]),5]),
[iquote('para(588,3),demod([5])')] ).
cnf(1099,plain,
equal(meet(join(A,B),meet(C,A)),meet(join(B,A),meet(A,C))),
inference(flip,[status(thm),theory(equality)],[1098]),
[iquote('flip(1098)')] ).
cnf(1238,plain,
equal(join(A,join(meet(B,A),meet(B,C))),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,922]),
[iquote('para(4,922)')] ).
cnf(1242,plain,
equal(join(meet(A,B),join(meet(B,C),A)),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[926,4]),6]),1]),
[iquote('para(926,4),demod([6]),flip(1)')] ).
cnf(1272,plain,
equal(join(meet(A,join(B,C)),join(D,meet(B,A))),join(meet(A,join(B,C)),D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,72]),19]),1]),
[iquote('para(27,72),demod([19]),flip(1)')] ).
cnf(1295,plain,
equal(join(meet(A,meet(join(B,A),C)),B),join(B,meet(A,C))),
inference(para,[status(thm),theory(equality)],[3,1080]),
[iquote('para(3,1080)')] ).
cnf(1356,plain,
equal(join(meet(A,B),join(meet(A,C),B)),join(B,meet(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1238,4]),6]),1]),
[iquote('para(1238,4),demod([6]),flip(1)')] ).
cnf(1360,plain,
equal(join(meet(A,B),join(A,meet(B,C))),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,1242]),
[iquote('para(4,1242)')] ).
cnf(1380,plain,
equal(join(meet(A,join(meet(B,A),C)),C),join(C,meet(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,1295]),5,867]),
[iquote('para(3,1295),demod([5,867])')] ).
cnf(1457,plain,
equal(join(A,meet(B,join(meet(C,B),A))),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1380,4]),1]),
[iquote('para(1380,4),flip(1)')] ).
cnf(1458,plain,
equal(meet(A,join(B,join(C,meet(B,A)))),meet(join(B,C),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[918]),1457]),
[iquote('back_demod(918),demod([1457])')] ).
cnf(1500,plain,
equal(meet(A,join(B,join(meet(C,A),C))),meet(join(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,1458]),6]),
[iquote('para(4,1458),demod([6])')] ).
cnf(1501,plain,
equal(meet(join(A,B),C),meet(C,join(B,join(meet(A,C),A)))),
inference(flip,[status(thm),theory(equality)],[1500]),
[iquote('flip(1500)')] ).
cnf(1539,plain,
equal(meet(join(A,B),C),meet(join(B,join(meet(A,C),A)),C)),
inference(para,[status(thm),theory(equality)],[1500,3]),
[iquote('para(1500,3)')] ).
cnf(1551,plain,
equal(meet(join(A,B),C),meet(C,join(A,join(meet(B,C),B)))),
inference(para,[status(thm),theory(equality)],[4,1501]),
[iquote('para(4,1501)')] ).
cnf(1588,plain,
equal(meet(join(A,join(meet(B,C),B)),C),meet(C,join(B,A))),
inference(para,[status(thm),theory(equality)],[1539,3]),
[iquote('para(1539,3)')] ).
cnf(1600,plain,
equal(meet(A,join(B,join(meet(C,A),C))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[1551,3]),
[iquote('para(1551,3)')] ).
cnf(1708,plain,
equal(meet(A,meet(B,join(meet(A,C),A))),meet(A,meet(B,join(A,C)))),
inference(para,[status(thm),theory(equality)],[158,43]),
[iquote('para(158,43)')] ).
cnf(1712,plain,
equal(meet(A,meet(join(B,C),join(A,B))),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[249]),1708]),
[iquote('back_demod(249),demod([1708])')] ).
cnf(1715,plain,
equal(meet(A,meet(join(A,B),join(B,C))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[3,1712]),
[iquote('para(3,1712)')] ).
cnf(1716,plain,
equal(meet(A,meet(join(B,C),join(A,C))),meet(A,join(C,B))),
inference(para,[status(thm),theory(equality)],[4,1712]),
[iquote('para(4,1712)')] ).
cnf(1717,plain,
equal(meet(A,meet(join(B,C),join(B,A))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[4,1712]),
[iquote('para(4,1712)')] ).
cnf(1719,plain,
equal(meet(join(A,B),meet(join(B,C),A)),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1715,3]),5]),1]),
[iquote('para(1715,3),demod([5]),flip(1)')] ).
cnf(1725,plain,
equal(meet(A,meet(join(B,A),join(B,C))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[3,1717]),
[iquote('para(3,1717)')] ).
cnf(1733,plain,
equal(meet(join(A,B),meet(join(A,C),B)),meet(B,join(A,C))),
inference(para,[status(thm),theory(equality)],[4,1719]),
[iquote('para(4,1719)')] ).
cnf(1843,plain,
equal(meet(join(meet(A,B),C),A),join(meet(C,join(A,meet(A,B))),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,220]),867]),1]),
[iquote('para(11,220),demod([867]),flip(1)')] ).
cnf(2244,plain,
equal(join(meet(A,B),join(A,meet(A,meet(B,C)))),join(A,meet(A,meet(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,1360]),5,5]),
[iquote('para(11,1360),demod([5,5])')] ).
cnf(2365,plain,
equal(join(meet(A,join(B,meet(B,join(C,A)))),A),join(meet(A,join(B,C)),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,1716]),875,431,6,431]),
[iquote('para(19,1716),demod([875,431,6,431])')] ).
cnf(2383,plain,
equal(meet(join(A,meet(B,join(C,A))),C),meet(join(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,1733]),870,49,5,13]),
[iquote('para(11,1733),demod([870,49,5,13])')] ).
cnf(2388,plain,
equal(meet(join(A,meet(B,join(A,C))),C),meet(join(A,B),C)),
inference(para,[status(thm),theory(equality)],[4,2383]),
[iquote('para(4,2383)')] ).
cnf(2389,plain,
equal(meet(join(meet(A,join(B,C)),C),B),meet(join(C,A),B)),
inference(para,[status(thm),theory(equality)],[4,2383]),
[iquote('para(4,2383)')] ).
cnf(2399,plain,
equal(meet(join(A,B),C),meet(C,join(meet(B,join(C,A)),A))),
inference(para,[status(thm),theory(equality)],[2389,3]),
[iquote('para(2389,3)')] ).
cnf(2410,plain,
equal(meet(A,join(meet(B,join(A,C)),C)),meet(A,join(C,B))),
inference(para,[status(thm),theory(equality)],[2399,3]),
[iquote('para(2399,3)')] ).
cnf(2434,plain,
equal(join(A,meet(B,join(C,A))),meet(join(A,C),join(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,2388]),887]),
[iquote('para(18,2388),demod([887])')] ).
cnf(2436,plain,
equal(meet(join(A,B),join(A,C)),join(A,meet(B,join(C,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,2434]),686]),1]),
[iquote('para(3,2434),demod([686]),flip(1)')] ).
cnf(2520,plain,
equal(meet(A,join(B,meet(A,join(C,B)))),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1725]),2436]),
[iquote('back_demod(1725),demod([2436])')] ).
cnf(3187,plain,
equal(meet(A,join(B,join(C,join(D,A)))),join(meet(A,join(B,join(C,D))),A)),
inference(para,[status(thm),theory(equality)],[128,158]),
[iquote('para(128,158)')] ).
cnf(3665,plain,
equal(join(meet(A,join(meet(B,C),meet(A,B))),A),join(meet(A,meet(B,C)),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[191,158]),158]),1]),
[iquote('para(191,158),demod([158]),flip(1)')] ).
cnf(4186,plain,
~ equal(join(meet(b,join(a,meet(a,c))),meet(a,c)),join(meet(a,b),meet(a,c))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[340,10]),1843]),
[iquote('para(340,10),demod([1843])')] ).
cnf(4449,plain,
equal(join(meet(A,meet(join(A,B),C)),join(meet(A,B),A)),join(meet(A,B),join(A,meet(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[43,166]),158,158,11,6]),
[iquote('para(43,166),demod([158,158,11,6])')] ).
cnf(4543,plain,
equal(meet(A,meet(join(A,join(B,C)),join(meet(B,C),B))),meet(A,join(meet(B,C),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[165,405]),165]),
[iquote('para(165,405),demod([165])')] ).
cnf(4637,plain,
equal(meet(A,join(meet(B,join(A,C)),B)),meet(B,join(meet(A,join(C,B)),A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[167,409]),871,158,2520,430]),
[iquote('para(167,409),demod([871,158,2520,430])')] ).
cnf(4638,plain,
equal(meet(A,join(meet(B,join(C,A)),B)),meet(B,join(meet(A,join(B,C)),A))),
inference(flip,[status(thm),theory(equality)],[4637]),
[iquote('flip(4637)')] ).
cnf(4910,plain,
equal(meet(A,meet(join(B,join(meet(A,C),A)),join(A,C))),join(meet(A,C),join(A,meet(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[423,174]),402,4449]),
[iquote('para(423,174),demod([402,4449])')] ).
cnf(4934,plain,
equal(meet(join(A,join(B,C)),join(meet(B,C),B)),join(meet(B,join(C,A)),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[174,424]),871,158,2520]),1]),
[iquote('para(174,424),demod([871,158,2520]),flip(1)')] ).
cnf(4935,plain,
equal(meet(A,join(meet(B,join(C,A)),B)),meet(A,join(meet(B,C),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4543]),4934]),
[iquote('back_demod(4543),demod([4934])')] ).
cnf(4936,plain,
equal(meet(A,join(meet(B,C),B)),meet(B,join(meet(A,join(B,C)),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4638]),4935]),
[iquote('back_demod(4638),demod([4935])')] ).
cnf(4937,plain,
equal(meet(A,join(meet(B,join(A,C)),B)),meet(B,join(meet(A,C),A))),
inference(flip,[status(thm),theory(equality)],[4936]),
[iquote('flip(4936)')] ).
cnf(4954,plain,
equal(meet(A,join(meet(B,join(A,C)),B)),meet(A,join(meet(B,C),B))),
inference(para,[status(thm),theory(equality)],[4,4935]),
[iquote('para(4,4935)')] ).
cnf(4955,plain,
equal(meet(A,join(meet(B,C),B)),meet(B,join(meet(A,C),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4937]),4954]),
[iquote('back_demod(4937),demod([4954])')] ).
cnf(4958,plain,
equal(meet(A,join(B,meet(B,join(C,A)))),meet(A,join(meet(B,C),B))),
inference(para,[status(thm),theory(equality)],[4,4935]),
[iquote('para(4,4935)')] ).
cnf(4965,plain,
equal(join(meet(A,join(meet(B,C),B)),A),join(meet(A,join(B,C)),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2365]),4958]),
[iquote('back_demod(2365),demod([4958])')] ).
cnf(4968,plain,
equal(meet(A,join(meet(B,C),B)),meet(A,meet(join(A,C),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4955,3]),402]),
[iquote('para(4955,3),demod([402])')] ).
cnf(4972,plain,
equal(meet(A,join(B,meet(B,C))),meet(B,join(meet(A,C),A))),
inference(para,[status(thm),theory(equality)],[4,4955]),
[iquote('para(4,4955)')] ).
cnf(4973,plain,
equal(meet(A,join(meet(B,C),B)),meet(B,join(A,meet(A,C)))),
inference(flip,[status(thm),theory(equality)],[4972]),
[iquote('flip(4972)')] ).
cnf(4980,plain,
equal(meet(A,meet(join(A,B),C)),meet(A,join(meet(B,C),C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,4968]),1]),
[iquote('para(3,4968),flip(1)')] ).
cnf(5030,plain,
equal(meet(join(A,B),meet(B,C)),meet(B,join(meet(A,C),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[589]),4980]),
[iquote('back_demod(589),demod([4980])')] ).
cnf(5038,plain,
equal(meet(join(A,B),meet(C,A)),meet(A,join(meet(B,C),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1099]),5030]),
[iquote('back_demod(1099),demod([5030])')] ).
cnf(5078,plain,
equal(meet(A,join(B,meet(B,C))),meet(B,join(A,meet(A,C)))),
inference(para,[status(thm),theory(equality)],[4,4973]),
[iquote('para(4,4973)')] ).
cnf(5079,plain,
equal(meet(A,meet(B,join(A,C))),meet(A,join(meet(C,B),B))),
inference(para,[status(thm),theory(equality)],[3,4980]),
[iquote('para(3,4980)')] ).
cnf(5080,plain,
equal(meet(A,join(meet(B,C),C)),meet(A,meet(C,join(A,B)))),
inference(flip,[status(thm),theory(equality)],[5079]),
[iquote('flip(5079)')] ).
cnf(5099,plain,
equal(meet(A,join(meet(B,C),C)),meet(A,meet(C,join(B,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5030,3]),5]),
[iquote('para(5030,3),demod([5])')] ).
cnf(5162,plain,
equal(meet(A,meet(B,join(A,C))),meet(A,join(meet(B,C),B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5080]),1]),
[iquote('para(3,5080),flip(1)')] ).
cnf(5169,plain,
equal(join(meet(A,join(B,C)),A),join(meet(A,C),join(A,meet(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4910]),5162,1588,3187,1272,2410]),
[iquote('back_demod(4910),demod([5162,1588,3187,1272,2410])')] ).
cnf(5181,plain,
equal(join(A,meet(A,meet(B,C))),join(meet(A,C),join(A,meet(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4965]),5169,2244,5169]),
[iquote('back_demod(4965),demod([5169,2244,5169])')] ).
cnf(5209,plain,
equal(join(meet(A,meet(B,C)),A),join(meet(A,B),join(meet(A,C),A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3665]),5169,11,5181,74]),1]),
[iquote('back_demod(3665),demod([5169,11,5181,74]),flip(1)')] ).
cnf(5317,plain,
equal(meet(A,meet(B,join(C,A))),meet(A,join(meet(B,C),B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5099]),1]),
[iquote('para(3,5099),flip(1)')] ).
cnf(5367,plain,
equal(meet(A,join(meet(B,C),B)),join(meet(A,meet(B,C)),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,5038]),165,5,5,5317,5209,1600]),1]),
[iquote('para(11,5038),demod([165,5,5,5317,5209,1600]),flip(1)')] ).
cnf(5406,plain,
equal(meet(A,meet(B,join(A,C))),join(meet(A,meet(B,C)),meet(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5162]),5367]),
[iquote('back_demod(5162),demod([5367])')] ).
cnf(5541,plain,
equal(meet(A,join(B,meet(B,C))),join(meet(A,meet(B,C)),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5078,11]),5406,43]),1]),
[iquote('para(5078,11),demod([5406,43]),flip(1)')] ).
cnf(5546,plain,
~ equal(join(meet(a,c),meet(b,a)),join(meet(a,b),meet(a,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4186]),5541,6,1356]),
[iquote('back_demod(4186),demod([5541,6,1356])')] ).
cnf(5547,plain,
$false,
inference(conflict,[status(thm)],[5546,614]),
[iquote('conflict(5546,614)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 03:51:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.45/1.88 ----- EQP 0.9e, May 2009 -----
% 1.45/1.88 The job began on n020.cluster.edu, Thu Jun 30 03:51:16 2022
% 1.45/1.88 The command was "./eqp09e".
% 1.45/1.88
% 1.45/1.88 set(prolog_style_variables).
% 1.45/1.88 set(lrpo).
% 1.45/1.88 set(basic_paramod).
% 1.45/1.88 set(functional_subsume).
% 1.45/1.88 set(ordered_paramod).
% 1.45/1.88 set(prime_paramod).
% 1.45/1.88 set(para_pairs).
% 1.45/1.88 assign(pick_given_ratio,4).
% 1.45/1.88 clear(print_kept).
% 1.45/1.88 clear(print_new_demod).
% 1.45/1.88 clear(print_back_demod).
% 1.45/1.88 clear(print_given).
% 1.45/1.88 assign(max_mem,64000).
% 1.45/1.88 end_of_commands.
% 1.45/1.88
% 1.45/1.88 Usable:
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 Sos:
% 1.45/1.88 0 (wt=-1) [] meet(A,A) = A.
% 1.45/1.88 0 (wt=-1) [] join(A,A) = A.
% 1.45/1.88 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 1.45/1.88 0 (wt=-1) [] join(A,B) = join(B,A).
% 1.45/1.88 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.45/1.88 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.45/1.88 0 (wt=-1) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 1.45/1.88 0 (wt=-1) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 1.45/1.88 0 (wt=-1) [] join(meet(join(A,B),C),B) = join(meet(join(C,B),A),B).
% 1.45/1.88 0 (wt=-1) [] -(meet(a,join(b,meet(a,c))) = join(meet(a,b),meet(a,c))).
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 Demodulators:
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 Passive:
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 Starting to process input.
% 1.45/1.88
% 1.45/1.88 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 1.45/1.88 1 is a new demodulator.
% 1.45/1.88
% 1.45/1.88 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 1.45/1.88 2 is a new demodulator.
% 1.45/1.88
% 1.45/1.88 ** KEPT: 3 (wt=7) [] meet(A,B) = meet(B,A).
% 1.45/1.88 clause forward subsumed: 0 (wt=7) [flip(3)] meet(B,A) = meet(A,B).
% 1.45/1.88
% 1.45/1.88 ** KEPT: 4 (wt=7) [] join(A,B) = join(B,A).
% 1.45/1.88 clause forward subsumed: 0 (wt=7) [flip(4)] join(B,A) = join(A,B).
% 1.45/1.88
% 1.45/1.88 ** KEPT: 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.45/1.88 5 is a new demodulator.
% 1.45/1.88
% 1.45/1.88 ** KEPT: 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.45/1.88 6 is a new demodulator.
% 1.45/1.88
% 1.45/1.88 ** KEPT: 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 1.45/1.88 7 is a new demodulator.
% 1.45/1.88
% 1.45/1.88 ** KEPT: 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 1.45/1.88 8 is a new demodulator.
% 1.45/1.88
% 1.45/1.88 ** KEPT: 9 (wt=15) [] join(meet(join(A,B),C),B) = join(meet(join(C,B),A),B).
% 1.45/1.88 clause forward subsumed: 0 (wt=15) [flip(9)] join(meet(join(C,B),A),B) = join(meet(join(A,B),C),B).
% 1.45/1.88
% 1.45/1.88 ** KEPT: 10 (wt=15) [] -(meet(a,join(b,meet(a,c))) = join(meet(a,b),meet(a,c))).
% 1.45/1.88 ---------------- PROOF FOUND ----------------
% 1.45/1.88 % SZS status Unsatisfiable
% 1.45/1.88
% 1.45/1.88
% 1.45/1.88 After processing input:
% 1.45/1.88
% 1.45/1.88 Usable:
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 Sos:
% 1.45/1.88 1 (wt=5) [] meet(A,A) = A.
% 1.45/1.88 2 (wt=5) [] join(A,A) = A.
% 1.45/1.88 3 (wt=7) [] meet(A,B) = meet(B,A).
% 1.45/1.88 4 (wt=7) [] join(A,B) = join(B,A).
% 1.45/1.88 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.45/1.88 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.45/1.88 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 1.45/1.88 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 1.45/1.88 9 (wt=15) [] join(meet(join(A,B),C),B) = join(meet(join(C,B),A),B).
% 1.45/1.88 10 (wt=15) [] -(meet(a,join(b,meet(a,c))) = join(meet(a,b),meet(a,c))).
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 Demodulators:
% 1.45/1.88 1 (wt=5) [] meet(A,A) = A.
% 1.45/1.88 2 (wt=5) [] join(A,A) = A.
% 1.45/1.88 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.45/1.88 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.45/1.88 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 1.45/1.88 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 Passive:
% 1.45/1.88 end_of_list.
% 1.45/1.88
% 1.45/1.88 UNIT CONFLICT from 5546 and 614 at 0.48 seconds.
% 1.45/1.88
% 1.45/1.88 ---------------- PROOF ----------------
% 1.45/1.88 % SZS output start Refutation
% See solution above
% 1.45/1.88 ------------ end of proof -------------
% 1.45/1.88
% 1.45/1.88
% 1.45/1.88 ------------- memory usage ------------
% 1.45/1.88 Memory dynamically allocated (tp_alloc): 7812.
% 1.45/1.88 type (bytes each) gets frees in use avail bytes
% 1.45/1.88 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.45/1.88 term ( 16) 813797 688397 125400 30 2428.1 K
% 1.45/1.88 gen_ptr ( 8) 668066 155567 512499 171 4005.2 K
% 1.45/1.88 context ( 808) 424785 424783 2 8 7.9 K
% 1.45/1.88 trail ( 12) 163954 163954 0 6 0.1 K
% 1.45/1.88 bt_node ( 68) 99627 99624 3 12 1.0 K
% 1.45/1.88 ac_position (285432) 0 0 0 0 0.0 K
% 1.45/1.88 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.45/1.88 ac_match_free_vars_pos (4020)
% 1.45/1.88 0 0 0 0 0.0 K
% 1.45/1.88 discrim ( 12) 71351 20542 50809 1074 608.0 K
% 1.45/1.88 flat ( 40) 1778753 1778753 0 59 2.3 K
% 1.45/1.88 discrim_pos ( 12) 50247 50247 0 1 0.0 K
% 1.45/1.88 fpa_head ( 12) 4803 0 4803 0 56.3 K
% 1.45/1.88 fpa_tree ( 28) 8699 8699 0 45 1.2 K
% 1.45/1.88 fpa_pos ( 36) 8084 8084 0 1 0.0 K
% 1.45/1.88 literal ( 12) 39778 34232 5546 0 65.0 K
% 1.45/1.88 clause ( 24) 39778 34232 5546 0 130.0 K
% 1.45/1.88 list ( 12) 2597 2540 57 4 0.7 K
% 1.45/1.88 list_pos ( 20) 22857 8115 14742 36 288.6 K
% 1.45/1.88 pair_index ( 40) 2 0 2 0 0.1 K
% 1.45/1.88
% 1.45/1.88 -------------- statistics -------------
% 1.45/1.88 Clauses input 10
% 1.45/1.88 Usable input 0
% 1.45/1.88 Sos input 10
% 1.45/1.88 Demodulators input 0
% 1.45/1.88 Passive input 0
% 1.45/1.88
% 1.45/1.88 Processed BS (before search) 13
% 1.45/1.88 Forward subsumed BS 3
% 1.45/1.88 Kept BS 10
% 1.45/1.88 New demodulators BS 6
% 1.45/1.88 Back demodulated BS 0
% 1.45/1.88
% 1.45/1.88 Clauses or pairs given 12888
% 1.45/1.88 Clauses generated 20750
% 1.45/1.88 Forward subsumed 15214
% 1.45/1.88 Deleted by weight 0
% 1.45/1.88 Deleted by variable count 0
% 1.45/1.88 Kept 5536
% 1.45/1.88 New demodulators 2532
% 1.45/1.88 Back demodulated 1812
% 1.45/1.88 Ordered paramod prunes 0
% 1.45/1.88 Basic paramod prunes 13377
% 1.45/1.88 Prime paramod prunes 245
% 1.45/1.88 Semantic prunes 0
% 1.45/1.88
% 1.45/1.88 Rewrite attmepts 269869
% 1.45/1.88 Rewrites 40130
% 1.45/1.88
% 1.45/1.88 FPA overloads 0
% 1.45/1.88 FPA underloads 0
% 1.45/1.88
% 1.45/1.88 Usable size 0
% 1.45/1.88 Sos size 3733
% 1.45/1.88 Demodulators size 1703
% 1.45/1.88 Passive size 0
% 1.45/1.88 Disabled size 1812
% 1.45/1.88
% 1.45/1.88 Proofs found 1
% 1.45/1.88
% 1.45/1.88 ----------- times (seconds) ----------- Thu Jun 30 03:51:17 2022
% 1.45/1.88
% 1.45/1.88 user CPU time 0.49 (0 hr, 0 min, 0 sec)
% 1.45/1.88 system CPU time 0.28 (0 hr, 0 min, 0 sec)
% 1.45/1.88 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.45/1.88 input time 0.00
% 1.45/1.88 paramodulation time 0.06
% 1.45/1.88 demodulation time 0.06
% 1.45/1.88 orient time 0.04
% 1.45/1.88 weigh time 0.01
% 1.45/1.88 forward subsume time 0.03
% 1.45/1.88 back demod find time 0.04
% 1.45/1.88 conflict time 0.00
% 1.45/1.88 LRPO time 0.02
% 1.45/1.88 store clause time 0.14
% 1.45/1.88 disable clause time 0.05
% 1.45/1.88 prime paramod time 0.02
% 1.45/1.88 semantics time 0.00
% 1.45/1.88
% 1.45/1.88 EQP interrupted
%------------------------------------------------------------------------------