%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : REL018-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n019.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 : Mon Jul 18 19:15:30 EDT 2022
% Result : Unsatisfiable 4.77s 5.17s
% Output : Refutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of clauses : 103 ( 103 unt; 0 nHn; 15 RR)
% Number of literals : 103 ( 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; 4 con; 0-2 aty)
% Number of variables : 128 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(A,B),join(B,A)),
file('REL018-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(complement(join(complement(A),complement(B))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(join(meet(A,B),complement(join(complement(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
[iquote('back_demod(3),demod([4])')] ).
cnf(7,plain,
equal(composition(A,one),A),
file('REL018-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(composition(A,B),composition(C,B)),composition(join(A,C),B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(9,plain,
equal(converse(converse(A)),A),
file('REL018-1.p',unknown),
[] ).
cnf(10,plain,
equal(converse(join(A,B)),join(converse(A),converse(B))),
file('REL018-1.p',unknown),
[] ).
cnf(11,plain,
equal(converse(composition(A,B)),composition(converse(B),converse(A))),
file('REL018-1.p',unknown),
[] ).
cnf(12,plain,
equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)),
file('REL018-1.p',unknown),
[] ).
cnf(13,plain,
equal(join(A,complement(A)),top),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(14,plain,
equal(meet(A,complement(A)),zero),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(15,plain,
equal(composition(sk1,top),sk1),
file('REL018-1.p',unknown),
[] ).
cnf(16,plain,
~ equal(composition(complement(sk1),top),complement(sk1)),
file('REL018-1.p',unknown),
[] ).
cnf(20,plain,
equal(meet(A,B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),4]),
[iquote('para(1,4),demod([4])')] ).
cnf(23,plain,
equal(join(complement(A),A),top),
inference(para,[status(thm),theory(equality)],[1,13]),
[iquote('para(1,13)')] ).
cnf(25,plain,
equal(join(meet(A,B),complement(join(B,complement(A)))),A),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(26,plain,
equal(join(meet(A,B),join(complement(join(complement(A),B)),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,2]),1]),
[iquote('para(5,2),flip(1)')] ).
cnf(27,plain,
equal(join(meet(join(complement(A),complement(B)),C),complement(join(meet(A,B),C))),join(complement(A),complement(B))),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(28,plain,
equal(join(meet(A,complement(B)),meet(A,B)),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(29,plain,
equal(meet(complement(A),A),zero),
inference(para,[status(thm),theory(equality)],[20,14]),
[iquote('para(20,14)')] ).
cnf(30,plain,
equal(composition(converse(one),converse(A)),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,11]),1]),
[iquote('para(7,11),flip(1)')] ).
cnf(31,plain,
equal(composition(converse(one),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,30]),9]),
[iquote('para(9,30),demod([9])')] ).
cnf(32,plain,
equal(converse(one),one),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,7]),1]),
[iquote('para(31,7),flip(1)')] ).
cnf(33,plain,
equal(composition(one,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[31]),32]),
[iquote('back_demod(31),demod([32])')] ).
cnf(37,plain,
equal(composition(converse(top),converse(sk1)),converse(sk1)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,11]),1]),
[iquote('para(15,11),flip(1)')] ).
cnf(39,plain,
equal(complement(top),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,4]),14]),
[iquote('para(13,4),demod([14])')] ).
cnf(51,plain,
equal(complement(join(zero,complement(A))),meet(top,A)),
inference(para,[status(thm),theory(equality)],[39,4]),
[iquote('para(39,4)')] ).
cnf(53,plain,
equal(complement(join(zero,zero)),meet(top,top)),
inference(para,[status(thm),theory(equality)],[39,51]),
[iquote('para(39,51)')] ).
cnf(59,plain,
equal(join(A,join(complement(A),B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,2]),1]),
[iquote('para(13,2),flip(1)')] ).
cnf(61,plain,
equal(join(meet(A,complement(complement(A))),zero),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),39]),
[iquote('para(13,5),demod([39])')] ).
cnf(62,plain,
equal(join(converse(A),converse(complement(A))),converse(top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,10]),1]),
[iquote('para(13,10),flip(1)')] ).
cnf(64,plain,
equal(meet(join(complement(A),complement(B)),meet(A,B)),zero),
inference(para,[status(thm),theory(equality)],[4,14]),
[iquote('para(4,14)')] ).
cnf(65,plain,
equal(join(zero,meet(A,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,5]),4]),
[iquote('para(14,5),demod([4])')] ).
cnf(66,plain,
equal(join(meet(A,A),zero),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[65,1]),1]),
[iquote('para(65,1),flip(1)')] ).
cnf(71,plain,
equal(join(A,converse(complement(converse(A)))),converse(top)),
inference(para,[status(thm),theory(equality)],[9,62]),
[iquote('para(9,62)')] ).
cnf(107,plain,
equal(join(meet(A,B),complement(join(complement(B),A))),B),
inference(para,[status(thm),theory(equality)],[20,5]),
[iquote('para(20,5)')] ).
cnf(124,plain,
equal(join(complement(A),join(A,B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,2]),1]),
[iquote('para(23,2),flip(1)')] ).
cnf(126,plain,
equal(join(converse(complement(A)),converse(A)),converse(top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,10]),1]),
[iquote('para(23,10),flip(1)')] ).
cnf(127,plain,
equal(join(converse(complement(converse(A))),A),converse(top)),
inference(para,[status(thm),theory(equality)],[9,126]),
[iquote('para(9,126)')] ).
cnf(138,plain,
equal(join(meet(A,complement(B)),meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[4,25]),
[iquote('para(4,25)')] ).
cnf(144,plain,
equal(join(meet(A,B),complement(join(A,complement(B)))),B),
inference(para,[status(thm),theory(equality)],[20,25]),
[iquote('para(20,25)')] ).
cnf(149,plain,
equal(join(meet(complement(complement(A)),A),zero),A),
inference(para,[status(thm),theory(equality)],[20,61]),
[iquote('para(20,61)')] ).
cnf(159,plain,
equal(join(zero,meet(complement(complement(A)),A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[149,1]),1]),
[iquote('para(149,1),flip(1)')] ).
cnf(160,plain,
equal(join(meet(A,B),top),join(top,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,26]),59]),
[iquote('para(23,26),demod([59])')] ).
cnf(166,plain,
equal(join(top,meet(A,B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[160,1]),1]),
[iquote('para(160,1),flip(1)')] ).
cnf(169,plain,
equal(complement(complement(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,28]),159]),1]),
[iquote('para(29,28),demod([159]),flip(1)')] ).
cnf(179,plain,
equal(complement(join(zero,A)),meet(top,complement(A))),
inference(para,[status(thm),theory(equality)],[169,51]),
[iquote('para(169,51)')] ).
cnf(182,plain,
equal(meet(top,complement(zero)),meet(top,top)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[53]),179]),
[iquote('back_demod(53),demod([179])')] ).
cnf(199,plain,
equal(join(zero,complement(join(A,A))),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,5]),169]),
[iquote('para(29,5),demod([169])')] ).
cnf(201,plain,
equal(complement(join(A,complement(B))),meet(complement(A),B)),
inference(para,[status(thm),theory(equality)],[169,4]),
[iquote('para(169,4)')] ).
cnf(203,plain,
equal(join(meet(A,B),meet(complement(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[144]),201]),
[iquote('back_demod(144),demod([201])')] ).
cnf(210,plain,
equal(complement(join(complement(A),B)),meet(A,complement(B))),
inference(para,[status(thm),theory(equality)],[169,4]),
[iquote('para(169,4)')] ).
cnf(217,plain,
equal(join(meet(A,B),meet(B,complement(A))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[107]),210]),
[iquote('back_demod(107),demod([210])')] ).
cnf(222,plain,
equal(join(complement(A),complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[32,12]),33,33]),
[iquote('para(32,12),demod([33,33])')] ).
cnf(228,plain,
equal(join(composition(A,B),B),composition(join(A,one),B)),
inference(para,[status(thm),theory(equality)],[33,8]),
[iquote('para(33,8)')] ).
cnf(233,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[169,222]),169,169]),
[iquote('para(169,222),demod([169,169])')] ).
cnf(234,plain,
equal(join(zero,complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[199]),233]),
[iquote('back_demod(199),demod([233])')] ).
cnf(247,plain,
equal(join(zero,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[169,234]),169]),
[iquote('para(169,234),demod([169])')] ).
cnf(251,plain,
equal(meet(top,complement(A)),complement(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[179]),247]),1]),
[iquote('back_demod(179),demod([247]),flip(1)')] ).
cnf(252,plain,
equal(complement(zero),meet(top,top)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[182]),251]),
[iquote('back_demod(182),demod([251])')] ).
cnf(257,plain,
equal(meet(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[65]),247]),
[iquote('back_demod(65),demod([247])')] ).
cnf(258,plain,
equal(complement(zero),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[252]),257]),
[iquote('back_demod(252),demod([257])')] ).
cnf(259,plain,
equal(join(A,zero),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[66]),257]),
[iquote('back_demod(66),demod([257])')] ).
cnf(286,plain,
equal(composition(join(top,one),complement(converse(sk1))),complement(converse(sk1))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[37,12]),9,228]),
[iquote('para(37,12),demod([9,228])')] ).
cnf(313,plain,
equal(complement(join(A,top)),meet(complement(A),zero)),
inference(para,[status(thm),theory(equality)],[258,201]),
[iquote('para(258,201)')] ).
cnf(314,plain,
equal(join(meet(zero,A),meet(top,A)),A),
inference(para,[status(thm),theory(equality)],[258,203]),
[iquote('para(258,203)')] ).
cnf(320,plain,
equal(join(meet(zero,A),meet(A,top)),A),
inference(para,[status(thm),theory(equality)],[258,217]),
[iquote('para(258,217)')] ).
cnf(353,plain,
equal(join(A,top),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[313,13]),2,166,259]),
[iquote('para(313,13),demod([2,166,259])')] ).
cnf(354,plain,
equal(meet(complement(A),zero),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[313]),353,39]),1]),
[iquote('back_demod(313),demod([353,39]),flip(1)')] ).
cnf(357,plain,
equal(join(top,A),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[160]),353]),1]),
[iquote('back_demod(160),demod([353]),flip(1)')] ).
cnf(360,plain,
equal(composition(top,complement(converse(sk1))),complement(converse(sk1))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[286]),357]),
[iquote('back_demod(286),demod([357])')] ).
cnf(361,plain,
equal(join(complement(A),join(A,B)),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[124]),357]),
[iquote('back_demod(124),demod([357])')] ).
cnf(381,plain,
equal(converse(top),top),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[353,127]),1]),
[iquote('para(353,127),flip(1)')] ).
cnf(388,plain,
equal(join(converse(complement(converse(A))),A),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[127]),381]),
[iquote('back_demod(127),demod([381])')] ).
cnf(392,plain,
equal(join(A,converse(complement(converse(A)))),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[71]),381]),
[iquote('back_demod(71),demod([381])')] ).
cnf(459,plain,
equal(complement(meet(A,B)),join(complement(A),complement(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,27]),233,247]),
[iquote('para(64,27),demod([233,247])')] ).
cnf(460,plain,
equal(complement(join(A,B)),meet(complement(A),complement(B))),
inference(para,[status(thm),theory(equality)],[169,201]),
[iquote('para(169,201)')] ).
cnf(682,plain,
equal(meet(zero,A),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[354,138]),169,259]),
[iquote('para(354,138),demod([169,259])')] ).
cnf(683,plain,
equal(meet(A,top),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[320]),682,247]),
[iquote('back_demod(320),demod([682,247])')] ).
cnf(686,plain,
equal(meet(top,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[314]),682,247]),
[iquote('back_demod(314),demod([682,247])')] ).
cnf(1308,plain,
equal(meet(A,meet(complement(A),complement(B))),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[361,460]),39,169,460]),1]),
[iquote('para(361,460),demod([39,169,460]),flip(1)')] ).
cnf(1311,plain,
equal(meet(A,meet(complement(A),B)),zero),
inference(para,[status(thm),theory(equality)],[169,1308]),
[iquote('para(169,1308)')] ).
cnf(1443,plain,
equal(meet(A,join(A,complement(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1311,28]),459,169,259]),
[iquote('para(1311,28),demod([459,169,259])')] ).
cnf(1444,plain,
equal(meet(A,join(A,B)),A),
inference(para,[status(thm),theory(equality)],[169,1443]),
[iquote('para(169,1443)')] ).
cnf(3581,plain,
equal(composition(converse(complement(converse(sk1))),top),converse(complement(converse(sk1)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[360,11]),381]),1]),
[iquote('para(360,11),demod([381]),flip(1)')] ).
cnf(11568,plain,
equal(meet(join(complement(A),B),join(complement(B),complement(A))),complement(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[138,460]),459,169,459]),1]),
[iquote('para(138,460),demod([459,169,459]),flip(1)')] ).
cnf(11678,plain,
equal(meet(join(A,B),join(complement(B),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[169,11568]),169,169]),
[iquote('para(169,11568),demod([169,169])')] ).
cnf(11815,plain,
equal(join(complement(A),converse(complement(converse(A)))),converse(complement(converse(A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[388,11678]),686]),
[iquote('para(388,11678),demod([686])')] ).
cnf(11818,plain,
equal(join(complement(converse(A)),converse(complement(A))),converse(complement(A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,11815]),9]),
[iquote('para(9,11815),demod([9])')] ).
cnf(11819,plain,
equal(join(complement(converse(complement(A))),converse(A)),converse(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[169,11818]),169]),
[iquote('para(169,11818),demod([169])')] ).
cnf(11820,plain,
equal(join(complement(converse(complement(converse(A)))),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,11819]),9]),
[iquote('para(9,11819),demod([9])')] ).
cnf(11918,plain,
equal(join(converse(complement(converse(complement(A)))),A),converse(complement(converse(complement(A))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[392,11678]),683]),
[iquote('para(392,11678),demod([683])')] ).
cnf(11978,plain,
equal(meet(complement(converse(A)),converse(complement(A))),complement(converse(A))),
inference(para,[status(thm),theory(equality)],[11818,1444]),
[iquote('para(11818,1444)')] ).
cnf(11991,plain,
equal(meet(converse(complement(A)),complement(converse(A))),complement(converse(A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11978,20]),1]),
[iquote('para(11978,20),flip(1)')] ).
cnf(12127,plain,
equal(converse(complement(converse(complement(converse(A))))),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11820,10]),11918]),1]),
[iquote('para(11820,10),demod([11918]),flip(1)')] ).
cnf(12129,plain,
equal(converse(complement(converse(complement(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,12127]),9]),
[iquote('para(9,12127),demod([9])')] ).
cnf(12132,plain,
equal(complement(converse(complement(A))),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12129,9]),1]),
[iquote('para(12129,9),flip(1)')] ).
cnf(12154,plain,
equal(meet(converse(complement(A)),converse(A)),zero),
inference(para,[status(thm),theory(equality)],[12132,14]),
[iquote('para(12132,14)')] ).
cnf(12514,plain,
equal(converse(complement(A)),complement(converse(A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12154,28]),11991,259]),1]),
[iquote('para(12154,28),demod([11991,259]),flip(1)')] ).
cnf(13572,plain,
equal(composition(complement(sk1),top),complement(sk1)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3581]),12514,9,12514,9]),
[iquote('back_demod(3581),demod([12514,9,12514,9])')] ).
cnf(13573,plain,
$false,
inference(conflict,[status(thm)],[13572,16]),
[iquote('conflict(13572,16)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : REL018-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 16:02:53 EDT 2022
% 0.14/0.36 % CPUTime :
% 4.77/5.17 ----- EQP 0.9e, May 2009 -----
% 4.77/5.17 The job began on n019.cluster.edu, Fri Jul 8 16:02:54 2022
% 4.77/5.17 The command was "./eqp09e".
% 4.77/5.17
% 4.77/5.17 set(prolog_style_variables).
% 4.77/5.17 set(lrpo).
% 4.77/5.17 set(basic_paramod).
% 4.77/5.17 set(functional_subsume).
% 4.77/5.17 set(ordered_paramod).
% 4.77/5.17 set(prime_paramod).
% 4.77/5.17 set(para_pairs).
% 4.77/5.17 assign(pick_given_ratio,4).
% 4.77/5.17 clear(print_kept).
% 4.77/5.17 clear(print_new_demod).
% 4.77/5.17 clear(print_back_demod).
% 4.77/5.17 clear(print_given).
% 4.77/5.17 assign(max_mem,64000).
% 4.77/5.17 end_of_commands.
% 4.77/5.17
% 4.77/5.17 Usable:
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 Sos:
% 4.77/5.17 0 (wt=-1) [] join(A,B) = join(B,A).
% 4.77/5.17 0 (wt=-1) [] join(A,join(B,C)) = join(join(A,B),C).
% 4.77/5.17 0 (wt=-1) [] A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 4.77/5.17 0 (wt=-1) [] meet(A,B) = complement(join(complement(A),complement(B))).
% 4.77/5.17 0 (wt=-1) [] composition(A,composition(B,C)) = composition(composition(A,B),C).
% 4.77/5.17 0 (wt=-1) [] composition(A,one) = A.
% 4.77/5.17 0 (wt=-1) [] composition(join(A,B),C) = join(composition(A,C),composition(B,C)).
% 4.77/5.17 0 (wt=-1) [] converse(converse(A)) = A.
% 4.77/5.17 0 (wt=-1) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 4.77/5.17 0 (wt=-1) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 4.77/5.17 0 (wt=-1) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 4.77/5.17 0 (wt=-1) [] top = join(A,complement(A)).
% 4.77/5.17 0 (wt=-1) [] zero = meet(A,complement(A)).
% 4.77/5.17 0 (wt=-1) [] composition(sk1,top) = sk1.
% 4.77/5.17 0 (wt=-1) [] -(composition(complement(sk1),top) = complement(sk1)).
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 Demodulators:
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 Passive:
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 Starting to process input.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 1 (wt=7) [] join(A,B) = join(B,A).
% 4.77/5.17 clause forward subsumed: 0 (wt=7) [flip(1)] join(B,A) = join(A,B).
% 4.77/5.17
% 4.77/5.17 ** KEPT: 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 4.77/5.17 2 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 3 (wt=14) [flip(1)] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A.
% 4.77/5.17 3 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 4.77/5.17 4 is a new demodulator.
% 4.77/5.17 -> 4 back demodulating 3.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 4.77/5.17 5 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 4.77/5.17 6 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 7 (wt=5) [] composition(A,one) = A.
% 4.77/5.17 7 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 4.77/5.17 8 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 9 (wt=5) [] converse(converse(A)) = A.
% 4.77/5.17 9 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 4.77/5.17 10 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 4.77/5.17 11 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 4.77/5.17 12 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 4.77/5.17 13 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 4.77/5.17 14 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 15 (wt=5) [] composition(sk1,top) = sk1.
% 4.77/5.17 15 is a new demodulator.
% 4.77/5.17
% 4.77/5.17 ** KEPT: 16 (wt=7) [] -(composition(complement(sk1),top) = complement(sk1)).
% 4.77/5.17 ---------------- PROOF FOUND ----------------
% 4.77/5.17 % SZS status Unsatisfiable
% 4.77/5.17
% 4.77/5.17
% 4.77/5.17 After processing input:
% 4.77/5.17
% 4.77/5.17 Usable:
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 Sos:
% 4.77/5.17 7 (wt=5) [] composition(A,one) = A.
% 4.77/5.17 9 (wt=5) [] converse(converse(A)) = A.
% 4.77/5.17 15 (wt=5) [] composition(sk1,top) = sk1.
% 4.77/5.17 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 4.77/5.17 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 4.77/5.17 1 (wt=7) [] join(A,B) = join(B,A).
% 4.77/5.17 16 (wt=7) [] -(composition(complement(sk1),top) = complement(sk1)).
% 4.77/5.17 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 4.77/5.17 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 4.77/5.17 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 4.77/5.17 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 4.77/5.17 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 4.77/5.17 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 4.77/5.17 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 4.77/5.17 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 Demodulators:
% 4.77/5.17 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 4.77/5.17 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 4.77/5.17 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 4.77/5.17 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 4.77/5.17 7 (wt=5) [] composition(A,one) = A.
% 4.77/5.17 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 4.77/5.17 9 (wt=5) [] converse(converse(A)) = A.
% 4.77/5.17 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 4.77/5.17 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 4.77/5.17 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 4.77/5.17 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 4.77/5.17 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 4.77/5.17 15 (wt=5) [] composition(sk1,top) = sk1.
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 Passive:
% 4.77/5.17 end_of_list.
% 4.77/5.17
% 4.77/5.17 UNIT CONFLICT from 13572 and 16 at 3.23 seconds.
% 4.77/5.17
% 4.77/5.17 ---------------- PROOF ----------------
% 4.77/5.17 % SZS output start Refutation
% See solution above
% 4.77/5.17 ------------ end of proof -------------
% 4.77/5.17
% 4.77/5.17
% 4.77/5.17 ------------- memory usage ------------
% 4.77/5.17 Memory dynamically allocated (tp_alloc): 36132.
% 4.77/5.17 type (bytes each) gets frees in use avail bytes
% 4.77/5.17 sym_ent ( 96) 60 0 60 0 5.6 K
% 4.77/5.17 term ( 16) 2184588 1715959 468629 23 9100.3 K
% 4.77/5.17 gen_ptr ( 8) 3309357 619808 2689549 102 21012.9 K
% 4.77/5.17 context ( 808) 2163772 2163770 2 7 7.1 K
% 4.77/5.17 trail ( 12) 167539 167539 0 8 0.1 K
% 4.77/5.17 bt_node ( 68) 831826 831823 3 42 3.0 K
% 4.77/5.17 ac_position (285432) 0 0 0 0 0.0 K
% 4.77/5.17 ac_match_pos (14044) 0 0 0 0 0.0 K
% 4.77/5.17 ac_match_free_vars_pos (4020)
% 4.77/5.17 0 0 0 0 0.0 K
% 4.77/5.17 discrim ( 12) 430634 206305 224329 801 2638.2 K
% 4.77/5.17 flat ( 40) 5205332 5205332 0 129 5.0 K
% 4.77/5.17 discrim_pos ( 12) 116374 116374 0 1 0.0 K
% 4.77/5.17 fpa_head ( 12) 34184 0 34184 0 400.6 K
% 4.77/5.17 fpa_tree ( 28) 124848 124848 0 55 1.5 K
% 4.77/5.17 fpa_pos ( 36) 24018 24018 0 1 0.0 K
% 4.77/5.17 literal ( 12) 64226 50654 13572 1 159.1 K
% 4.77/5.17 clause ( 24) 64226 50654 13572 1 318.1 K
% 4.77/5.17 list ( 12) 10505 10448 57 10 0.8 K
% 4.77/5.17 list_pos ( 20) 63442 29341 34101 614 678.0 K
% 4.77/5.17 pair_index ( 40) 2 0 2 0 0.1 K
% 4.77/5.17
% 4.77/5.17 -------------- statistics -------------
% 4.77/5.17 Clauses input 15
% 4.77/5.17 Usable input 0
% 4.77/5.17 Sos input 15
% 4.77/5.17 Demodulators input 0
% 4.77/5.17 Passive input 0
% 4.77/5.17
% 4.77/5.17 Processed BS (before search) 17
% 4.77/5.17 Forward subsumed BS 1
% 4.77/5.17 Kept BS 16
% 4.77/5.17 New demodulators BS 14
% 4.77/5.17 Back demodulated BS 1
% 4.77/5.17
% 4.77/5.17 Clauses or pairs given 125672
% 4.77/5.17 Clauses generated 43544
% 4.77/5.17 Forward subsumed 29988
% 4.77/5.17 Deleted by weight 0
% 4.77/5.17 Deleted by variable count 0
% 4.77/5.17 Kept 13556
% 4.77/5.17 New demodulators 10432
% 4.77/5.17 Back demodulated 6000
% 4.77/5.17 Ordered paramod prunes 0
% 4.77/5.17 Basic paramod prunes 513550
% 4.77/5.17 Prime paramod prunes 2774
% 4.77/5.17 Semantic prunes 0
% 4.77/5.17
% 4.77/5.17 Rewrite attmepts 876856
% 4.77/5.17 Rewrites 107837
% 4.77/5.17
% 4.77/5.17 FPA overloads 0
% 4.77/5.17 FPA underloads 0
% 4.77/5.17
% 4.77/5.17 Usable size 0
% 4.77/5.17 Sos size 7570
% 4.77/5.17 Demodulators size 5287
% 4.77/5.17 Passive size 0
% 4.77/5.17 Disabled size 6001
% 4.77/5.17
% 4.77/5.17 Proofs found 1
% 4.77/5.17
% 4.77/5.17 ----------- times (seconds) ----------- Fri Jul 8 16:02:58 2022
% 4.77/5.17
% 4.77/5.17 user CPU time 3.23 (0 hr, 0 min, 3 sec)
% 4.77/5.17 system CPU time 0.82 (0 hr, 0 min, 0 sec)
% 4.77/5.17 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.77/5.17 input time 0.00
% 4.77/5.17 paramodulation time 0.23
% 4.77/5.17 demodulation time 0.24
% 4.77/5.17 orient time 0.07
% 4.77/5.17 weigh time 0.02
% 4.77/5.17 forward subsume time 0.06
% 4.77/5.17 back demod find time 0.34
% 4.77/5.17 conflict time 0.01
% 4.77/5.17 LRPO time 0.03
% 4.77/5.17 store clause time 1.39
% 4.77/5.17 disable clause time 0.60
% 4.77/5.17 prime paramod time 0.06
% 4.77/5.17 semantics time 0.00
% 4.77/5.17
% 4.77/5.17 EQP interrupted
%------------------------------------------------------------------------------