TSTP Solution File: REL005-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n027.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 19:15:12 EDT 2022
% Result : Unsatisfiable 9.96s 10.33s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 7
% Syntax : Number of clauses : 121 ( 121 unt; 0 nHn; 8 RR)
% Number of literals : 121 ( 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 182 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(A,B),join(B,A)),
file('REL005-1.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('REL005-1.p',unknown),
[] ).
cnf(9,plain,
equal(converse(converse(A)),A),
file('REL005-1.p',unknown),
[] ).
cnf(10,plain,
equal(converse(join(A,B)),join(converse(A),converse(B))),
file('REL005-1.p',unknown),
[] ).
cnf(11,plain,
equal(converse(composition(A,B)),composition(converse(B),converse(A))),
file('REL005-1.p',unknown),
[] ).
cnf(12,plain,
equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)),
file('REL005-1.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(converse(meet(sk1,sk2)),meet(converse(sk1),converse(sk2))),
file('REL005-1.p',unknown),
[] ).
cnf(18,plain,
equal(join(A,join(B,C)),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),2]),
[iquote('para(1,2),demod([2])')] ).
cnf(19,plain,
equal(join(complement(A),A),top),
inference(para,[status(thm),theory(equality)],[1,13]),
[iquote('para(1,13)')] ).
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(21,plain,
equal(meet(complement(A),A),zero),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,20]),1]),
[iquote('para(14,20),flip(1)')] ).
cnf(22,plain,
equal(complement(join(meet(A,B),complement(C))),meet(join(complement(A),complement(B)),C)),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(23,plain,
equal(complement(join(complement(A),meet(B,C))),meet(A,join(complement(B),complement(C)))),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(24,plain,
equal(join(complement(join(complement(A),B)),meet(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,1]),1]),
[iquote('para(5,1),flip(1)')] ).
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(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(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(30,plain,
equal(composition(converse(one),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,29]),9]),
[iquote('para(9,29),demod([9])')] ).
cnf(31,plain,
equal(converse(one),one),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,7]),1]),
[iquote('para(30,7),flip(1)')] ).
cnf(32,plain,
equal(composition(one,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[30]),31]),
[iquote('back_demod(30),demod([31])')] ).
cnf(35,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(44,plain,
equal(complement(join(zero,complement(A))),meet(top,A)),
inference(para,[status(thm),theory(equality)],[35,4]),
[iquote('para(35,4)')] ).
cnf(46,plain,
equal(complement(join(zero,zero)),meet(top,top)),
inference(para,[status(thm),theory(equality)],[35,44]),
[iquote('para(35,44)')] ).
cnf(61,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(63,plain,
equal(join(meet(A,complement(complement(A))),zero),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),35]),
[iquote('para(13,5),demod([35])')] ).
cnf(64,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(67,plain,
equal(join(A,converse(complement(converse(A)))),converse(top)),
inference(para,[status(thm),theory(equality)],[9,64]),
[iquote('para(9,64)')] ).
cnf(68,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(69,plain,
equal(join(meet(A,A),zero),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[68,1]),1]),
[iquote('para(68,1),flip(1)')] ).
cnf(98,plain,
equal(join(A,join(B,complement(A))),join(B,top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,18]),1]),
[iquote('para(13,18),flip(1)')] ).
cnf(104,plain,
equal(join(converse(complement(A)),converse(A)),converse(top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,10]),1]),
[iquote('para(19,10),flip(1)')] ).
cnf(105,plain,
equal(join(converse(complement(converse(A))),A),converse(top)),
inference(para,[status(thm),theory(equality)],[9,104]),
[iquote('para(9,104)')] ).
cnf(112,plain,
equal(join(zero,complement(join(complement(complement(A)),A))),complement(A)),
inference(para,[status(thm),theory(equality)],[21,5]),
[iquote('para(21,5)')] ).
cnf(124,plain,
equal(join(meet(A,meet(B,C)),meet(A,join(complement(B),complement(C)))),A),
inference(para,[status(thm),theory(equality)],[23,5]),
[iquote('para(23,5)')] ).
cnf(131,plain,
equal(join(complement(join(complement(A),B)),join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,2]),1]),
[iquote('para(24,2),flip(1)')] ).
cnf(133,plain,
equal(join(meet(complement(complement(A)),A),zero),A),
inference(para,[status(thm),theory(equality)],[20,63]),
[iquote('para(20,63)')] ).
cnf(135,plain,
equal(join(zero,meet(complement(complement(A)),A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[133,1]),1]),
[iquote('para(133,1),flip(1)')] ).
cnf(137,plain,
equal(complement(complement(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,28]),135]),1]),
[iquote('para(21,28),demod([135]),flip(1)')] ).
cnf(138,plain,
equal(join(zero,complement(join(A,A))),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[112]),137]),
[iquote('back_demod(112),demod([137])')] ).
cnf(141,plain,
equal(join(meet(A,complement(B)),meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[4,25]),
[iquote('para(4,25)')] ).
cnf(142,plain,
equal(complement(join(zero,A)),meet(top,complement(A))),
inference(para,[status(thm),theory(equality)],[137,44]),
[iquote('para(137,44)')] ).
cnf(145,plain,
equal(meet(top,complement(zero)),meet(top,top)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[46]),142]),
[iquote('back_demod(46),demod([142])')] ).
cnf(151,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(155,plain,
equal(join(meet(join(A,complement(B)),meet(B,A)),complement(B)),join(A,complement(B))),
inference(para,[status(thm),theory(equality)],[25,25]),
[iquote('para(25,25)')] ).
cnf(168,plain,
equal(complement(join(A,complement(B))),meet(complement(A),B)),
inference(para,[status(thm),theory(equality)],[137,4]),
[iquote('para(137,4)')] ).
cnf(169,plain,
equal(join(meet(A,B),meet(complement(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[151]),168]),
[iquote('back_demod(151),demod([168])')] ).
cnf(175,plain,
equal(join(meet(A,B),meet(complement(B),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[25]),168]),
[iquote('back_demod(25),demod([168])')] ).
cnf(176,plain,
equal(meet(complement(meet(A,B)),C),meet(join(complement(A),complement(B)),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),168]),
[iquote('back_demod(22),demod([168])')] ).
cnf(177,plain,
equal(complement(join(complement(A),B)),meet(A,complement(B))),
inference(para,[status(thm),theory(equality)],[137,4]),
[iquote('para(137,4)')] ).
cnf(184,plain,
equal(join(meet(A,complement(B)),join(meet(A,B),C)),join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[131]),177]),
[iquote('back_demod(131),demod([177])')] ).
cnf(194,plain,
equal(join(meet(top,A),meet(zero,A)),A),
inference(para,[status(thm),theory(equality)],[35,169]),
[iquote('para(35,169)')] ).
cnf(198,plain,
equal(join(meet(A,top),meet(zero,A)),A),
inference(para,[status(thm),theory(equality)],[35,175]),
[iquote('para(35,175)')] ).
cnf(206,plain,
equal(complement(zero),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,194]),145,69]),1]),
[iquote('para(14,194),demod([145,69]),flip(1)')] ).
cnf(210,plain,
equal(complement(join(A,top)),meet(complement(A),zero)),
inference(para,[status(thm),theory(equality)],[206,168]),
[iquote('para(206,168)')] ).
cnf(211,plain,
equal(join(complement(A),complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,12]),32,32]),
[iquote('para(31,12),demod([32,32])')] ).
cnf(225,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[137,211]),137,137]),
[iquote('para(137,211),demod([137,137])')] ).
cnf(226,plain,
equal(join(zero,complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[138]),225]),
[iquote('back_demod(138),demod([225])')] ).
cnf(235,plain,
equal(join(zero,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[137,226]),137]),
[iquote('para(137,226),demod([137])')] ).
cnf(240,plain,
equal(meet(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[68]),235]),
[iquote('back_demod(68),demod([235])')] ).
cnf(241,plain,
equal(join(A,zero),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[69]),240]),
[iquote('back_demod(69),demod([240])')] ).
cnf(282,plain,
equal(join(meet(zero,A),meet(top,A)),A),
inference(para,[status(thm),theory(equality)],[206,169]),
[iquote('para(206,169)')] ).
cnf(289,plain,
equal(complement(join(top,A)),meet(zero,complement(A))),
inference(para,[status(thm),theory(equality)],[206,177]),
[iquote('para(206,177)')] ).
cnf(303,plain,
equal(join(A,join(top,meet(complement(A),zero))),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[210,13]),2]),
[iquote('para(210,13),demod([2])')] ).
cnf(317,plain,
equal(join(top,join(A,meet(zero,complement(A)))),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[289,13]),2]),
[iquote('para(289,13),demod([2])')] ).
cnf(322,plain,
equal(join(top,complement(A)),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[225,61]),13]),1]),
[iquote('para(225,61),demod([13]),flip(1)')] ).
cnf(334,plain,
equal(meet(zero,A),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[322,289]),35,137]),1]),
[iquote('para(322,289),demod([35,137]),flip(1)')] ).
cnf(336,plain,
equal(join(top,A),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[317]),334,241]),
[iquote('back_demod(317),demod([334,241])')] ).
cnf(337,plain,
equal(join(A,top),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[303]),336]),
[iquote('back_demod(303),demod([336])')] ).
cnf(342,plain,
equal(join(A,join(B,complement(A))),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[98]),337]),
[iquote('back_demod(98),demod([337])')] ).
cnf(348,plain,
equal(meet(top,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[282]),334,235]),
[iquote('back_demod(282),demod([334,235])')] ).
cnf(351,plain,
equal(meet(A,top),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[198]),334,241]),
[iquote('back_demod(198),demod([334,241])')] ).
cnf(368,plain,
equal(converse(top),top),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[336,67]),1]),
[iquote('para(336,67),flip(1)')] ).
cnf(371,plain,
equal(join(converse(complement(converse(A))),A),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[105]),368]),
[iquote('back_demod(105),demod([368])')] ).
cnf(374,plain,
equal(join(A,converse(complement(converse(A)))),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[67]),368]),
[iquote('back_demod(67),demod([368])')] ).
cnf(431,plain,
equal(complement(join(A,B)),meet(complement(A),complement(B))),
inference(para,[status(thm),theory(equality)],[137,168]),
[iquote('para(137,168)')] ).
cnf(1080,plain,
equal(complement(meet(A,B)),join(complement(A),complement(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,124]),176,240,235]),1]),
[iquote('para(21,124),demod([176,240,235]),flip(1)')] ).
cnf(1084,plain,
equal(meet(complement(A),meet(complement(B),A)),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[342,431]),35,431,137]),1]),
[iquote('para(342,431),demod([35,431,137]),flip(1)')] ).
cnf(1086,plain,
equal(meet(complement(A),meet(B,A)),zero),
inference(para,[status(thm),theory(equality)],[137,1084]),
[iquote('para(137,1084)')] ).
cnf(1212,plain,
equal(meet(complement(A),join(complement(B),complement(A))),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1086,28]),1080,241]),
[iquote('para(1086,28),demod([1080,241])')] ).
cnf(1214,plain,
equal(meet(A,join(complement(B),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[137,1212]),137,137]),
[iquote('para(137,1212),demod([137,137])')] ).
cnf(1217,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[137,1214]),
[iquote('para(137,1214)')] ).
cnf(1221,plain,
equal(meet(A,join(A,B)),A),
inference(para,[status(thm),theory(equality)],[1,1217]),
[iquote('para(1,1217)')] ).
cnf(1323,plain,
equal(join(converse(meet(join(A,complement(B)),meet(B,A))),converse(complement(B))),join(converse(A),converse(complement(B)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[155,10]),10]),1]),
[iquote('para(155,10),demod([10]),flip(1)')] ).
cnf(1327,plain,
equal(join(meet(meet(A,B),join(B,complement(A))),complement(A)),join(B,complement(A))),
inference(para,[status(thm),theory(equality)],[20,155]),
[iquote('para(20,155)')] ).
cnf(1573,plain,
equal(join(meet(A,B),A),join(A,meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[141,184]),137]),
[iquote('para(141,184),demod([137])')] ).
cnf(1574,plain,
equal(join(A,meet(B,A)),join(meet(A,B),A)),
inference(flip,[status(thm),theory(equality)],[1573]),
[iquote('flip(1573)')] ).
cnf(1615,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[2,1217]),
[iquote('para(2,1217)')] ).
cnf(2031,plain,
equal(join(A,meet(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[225,184]),28]),1]),
[iquote('para(225,184),demod([28]),flip(1)')] ).
cnf(2035,plain,
equal(join(meet(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2031,1]),1]),
[iquote('para(2031,1),flip(1)')] ).
cnf(2036,plain,
equal(join(A,meet(B,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1574]),2035]),
[iquote('back_demod(1574),demod([2035])')] ).
cnf(2142,plain,
equal(meet(meet(A,B),join(C,B)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[2036,1615]),
[iquote('para(2036,1615)')] ).
cnf(2206,plain,
equal(join(converse(A),converse(meet(A,B))),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2031,10]),1]),
[iquote('para(2031,10),flip(1)')] ).
cnf(2707,plain,
equal(meet(meet(A,B),join(B,C)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[1,2142]),
[iquote('para(1,2142)')] ).
cnf(2708,plain,
equal(join(meet(A,B),complement(A)),join(B,complement(A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1327]),2707]),
[iquote('back_demod(1327),demod([2707])')] ).
cnf(2938,plain,
equal(meet(join(A,B),meet(C,A)),meet(C,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2707,20]),1]),
[iquote('para(2707,20),flip(1)')] ).
cnf(2963,plain,
equal(join(converse(meet(A,B)),converse(complement(A))),join(converse(B),converse(complement(A)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1323]),2938]),
[iquote('back_demod(1323),demod([2938])')] ).
cnf(10724,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)],[141,431]),1080,137,1080]),1]),
[iquote('para(141,431),demod([1080,137,1080]),flip(1)')] ).
cnf(10939,plain,
equal(meet(join(A,B),join(complement(B),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[137,10724]),137,137]),
[iquote('para(137,10724),demod([137,137])')] ).
cnf(10940,plain,
equal(meet(join(A,complement(B)),join(B,A)),A),
inference(para,[status(thm),theory(equality)],[137,10939]),
[iquote('para(137,10939)')] ).
cnf(11016,plain,
equal(meet(join(A,complement(B)),B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2031,10940]),2708]),
[iquote('para(2031,10940),demod([2708])')] ).
cnf(11073,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)],[371,10939]),348]),
[iquote('para(371,10939),demod([348])')] ).
cnf(11074,plain,
equal(join(complement(converse(A)),converse(complement(A))),converse(complement(A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,11073]),9]),
[iquote('para(9,11073),demod([9])')] ).
cnf(11079,plain,
equal(join(complement(converse(complement(A))),converse(A)),converse(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[137,11074]),137]),
[iquote('para(137,11074),demod([137])')] ).
cnf(11082,plain,
equal(join(complement(converse(complement(converse(A)))),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,11079]),9]),
[iquote('para(9,11079),demod([9])')] ).
cnf(11113,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)],[374,10939]),351]),
[iquote('para(374,10939),demod([351])')] ).
cnf(11176,plain,
equal(meet(complement(converse(A)),converse(complement(A))),complement(converse(A))),
inference(para,[status(thm),theory(equality)],[11074,1221]),
[iquote('para(11074,1221)')] ).
cnf(11183,plain,
equal(meet(converse(complement(A)),complement(converse(A))),complement(converse(A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11176,20]),1]),
[iquote('para(11176,20),flip(1)')] ).
cnf(11358,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)],[11082,10]),11113]),1]),
[iquote('para(11082,10),demod([11113]),flip(1)')] ).
cnf(11360,plain,
equal(converse(complement(converse(complement(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,11358]),9]),
[iquote('para(9,11358),demod([9])')] ).
cnf(11361,plain,
equal(complement(converse(complement(A))),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11360,9]),1]),
[iquote('para(11360,9),flip(1)')] ).
cnf(11381,plain,
equal(meet(converse(complement(A)),converse(A)),zero),
inference(para,[status(thm),theory(equality)],[11361,14]),
[iquote('para(11361,14)')] ).
cnf(12534,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)],[11381,28]),11183,241]),1]),
[iquote('para(11381,28),demod([11183,241]),flip(1)')] ).
cnf(13519,plain,
equal(join(converse(meet(A,B)),complement(converse(A))),join(converse(B),complement(converse(A)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2963]),12534,12534]),
[iquote('back_demod(2963),demod([12534,12534])')] ).
cnf(27427,plain,
equal(converse(meet(A,B)),meet(converse(A),converse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2206,10940]),13519,11016]),1]),
[iquote('para(2206,10940),demod([13519,11016]),flip(1)')] ).
cnf(27428,plain,
$false,
inference(conflict,[status(thm)],[27427,15]),
[iquote('conflict(27427,15)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 13:10:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.96/10.33 ----- EQP 0.9e, May 2009 -----
% 9.96/10.33 The job began on n027.cluster.edu, Fri Jul 8 13:10:31 2022
% 9.96/10.33 The command was "./eqp09e".
% 9.96/10.33
% 9.96/10.33 set(prolog_style_variables).
% 9.96/10.33 set(lrpo).
% 9.96/10.33 set(basic_paramod).
% 9.96/10.33 set(functional_subsume).
% 9.96/10.33 set(ordered_paramod).
% 9.96/10.33 set(prime_paramod).
% 9.96/10.33 set(para_pairs).
% 9.96/10.33 assign(pick_given_ratio,4).
% 9.96/10.33 clear(print_kept).
% 9.96/10.33 clear(print_new_demod).
% 9.96/10.33 clear(print_back_demod).
% 9.96/10.33 clear(print_given).
% 9.96/10.33 assign(max_mem,64000).
% 9.96/10.33 end_of_commands.
% 9.96/10.33
% 9.96/10.33 Usable:
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 Sos:
% 9.96/10.33 0 (wt=-1) [] join(A,B) = join(B,A).
% 9.96/10.33 0 (wt=-1) [] join(A,join(B,C)) = join(join(A,B),C).
% 9.96/10.33 0 (wt=-1) [] A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 9.96/10.33 0 (wt=-1) [] meet(A,B) = complement(join(complement(A),complement(B))).
% 9.96/10.33 0 (wt=-1) [] composition(A,composition(B,C)) = composition(composition(A,B),C).
% 9.96/10.33 0 (wt=-1) [] composition(A,one) = A.
% 9.96/10.33 0 (wt=-1) [] composition(join(A,B),C) = join(composition(A,C),composition(B,C)).
% 9.96/10.33 0 (wt=-1) [] converse(converse(A)) = A.
% 9.96/10.33 0 (wt=-1) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 9.96/10.33 0 (wt=-1) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 9.96/10.33 0 (wt=-1) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 9.96/10.33 0 (wt=-1) [] top = join(A,complement(A)).
% 9.96/10.33 0 (wt=-1) [] zero = meet(A,complement(A)).
% 9.96/10.33 0 (wt=-1) [] -(converse(meet(sk1,sk2)) = meet(converse(sk1),converse(sk2))).
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 Demodulators:
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 Passive:
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 Starting to process input.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 1 (wt=7) [] join(A,B) = join(B,A).
% 9.96/10.33 clause forward subsumed: 0 (wt=7) [flip(1)] join(B,A) = join(A,B).
% 9.96/10.33
% 9.96/10.33 ** KEPT: 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 9.96/10.33 2 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 3 (wt=14) [flip(1)] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A.
% 9.96/10.33 3 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 9.96/10.33 4 is a new demodulator.
% 9.96/10.33 -> 4 back demodulating 3.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 9.96/10.33 5 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 9.96/10.33 6 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 7 (wt=5) [] composition(A,one) = A.
% 9.96/10.33 7 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 9.96/10.33 8 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 9 (wt=5) [] converse(converse(A)) = A.
% 9.96/10.33 9 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 9.96/10.33 10 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 9.96/10.33 11 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 9.96/10.33 12 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 9.96/10.33 13 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 9.96/10.33 14 is a new demodulator.
% 9.96/10.33
% 9.96/10.33 ** KEPT: 15 (wt=10) [] -(converse(meet(sk1,sk2)) = meet(converse(sk1),converse(sk2))).
% 9.96/10.33 ---------------- PROOF FOUND ----------------
% 9.96/10.33 % SZS status Unsatisfiable
% 9.96/10.33
% 9.96/10.33
% 9.96/10.33 After processing input:
% 9.96/10.33
% 9.96/10.33 Usable:
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 Sos:
% 9.96/10.33 7 (wt=5) [] composition(A,one) = A.
% 9.96/10.33 9 (wt=5) [] converse(converse(A)) = A.
% 9.96/10.33 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 9.96/10.33 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 9.96/10.33 1 (wt=7) [] join(A,B) = join(B,A).
% 9.96/10.33 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 9.96/10.33 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 9.96/10.33 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 9.96/10.33 15 (wt=10) [] -(converse(meet(sk1,sk2)) = meet(converse(sk1),converse(sk2))).
% 9.96/10.33 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 9.96/10.33 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 9.96/10.33 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 9.96/10.33 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 9.96/10.33 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 Demodulators:
% 9.96/10.33 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 9.96/10.33 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 9.96/10.33 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 9.96/10.33 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 9.96/10.33 7 (wt=5) [] composition(A,one) = A.
% 9.96/10.33 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 9.96/10.33 9 (wt=5) [] converse(converse(A)) = A.
% 9.96/10.33 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 9.96/10.33 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 9.96/10.33 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 9.96/10.33 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 9.96/10.33 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 Passive:
% 9.96/10.33 end_of_list.
% 9.96/10.33
% 9.96/10.33 UNIT CONFLICT from 27427 and 15 at 7.77 seconds.
% 9.96/10.33
% 9.96/10.33 ---------------- PROOF ----------------
% 9.96/10.33 % SZS output start Refutation
% See solution above
% 9.96/10.33 ------------ end of proof -------------
% 9.96/10.33
% 9.96/10.33
% 9.96/10.33 ------------- memory usage ------------
% 9.96/10.33 Memory dynamically allocated (tp_alloc): 63964.
% 9.96/10.33 type (bytes each) gets frees in use avail bytes
% 9.96/10.33 sym_ent ( 96) 61 0 61 0 5.7 K
% 9.96/10.33 term ( 16) 4570550 3679885 890665 35 17289.3 K
% 9.96/10.33 gen_ptr ( 8) 5776581 938073 4838508 120 37801.8 K
% 9.96/10.33 context ( 808) 3841659 3841657 2 7 7.1 K
% 9.96/10.33 trail ( 12) 490164 490164 0 9 0.1 K
% 9.96/10.33 bt_node ( 68) 1385752 1385749 3 42 3.0 K
% 9.96/10.33 ac_position (285432) 0 0 0 0 0.0 K
% 9.96/10.33 ac_match_pos (14044) 0 0 0 0 0.0 K
% 9.96/10.33 ac_match_free_vars_pos (4020)
% 9.96/10.33 0 0 0 0 0.0 K
% 9.96/10.33 discrim ( 12) 561921 231327 330594 5613 3939.9 K
% 9.96/10.33 flat ( 40) 12059556 12059556 0 129 5.0 K
% 9.96/10.33 discrim_pos ( 12) 222557 222557 0 1 0.0 K
% 9.96/10.33 fpa_head ( 12) 35902 0 35902 0 420.7 K
% 9.96/10.34 fpa_tree ( 28) 133064 133064 0 55 1.5 K
% 9.96/10.34 fpa_pos ( 36) 39656 39656 0 1 0.0 K
% 9.96/10.34 literal ( 12) 169236 141809 27427 1 321.4 K
% 9.96/10.34 clause ( 24) 169236 141809 27427 1 642.8 K
% 9.96/10.34 list ( 12) 12288 12232 56 13 0.8 K
% 9.96/10.34 list_pos ( 20) 108289 32839 75450 0 1473.6 K
% 9.96/10.34 pair_index ( 40) 2 0 2 0 0.1 K
% 9.96/10.34
% 9.96/10.34 -------------- statistics -------------
% 9.96/10.34 Clauses input 14
% 9.96/10.34 Usable input 0
% 9.96/10.34 Sos input 14
% 9.96/10.34 Demodulators input 0
% 9.96/10.34 Passive input 0
% 9.96/10.34
% 9.96/10.34 Processed BS (before search) 16
% 9.96/10.34 Forward subsumed BS 1
% 9.96/10.34 Kept BS 15
% 9.96/10.34 New demodulators BS 13
% 9.96/10.34 Back demodulated BS 1
% 9.96/10.34
% 9.96/10.34 Clauses or pairs given 191562
% 9.96/10.34 Clauses generated 103763
% 9.96/10.34 Forward subsumed 76351
% 9.96/10.34 Deleted by weight 0
% 9.96/10.34 Deleted by variable count 0
% 9.96/10.34 Kept 27412
% 9.96/10.34 New demodulators 12216
% 9.96/10.34 Back demodulated 6753
% 9.96/10.34 Ordered paramod prunes 0
% 9.96/10.34 Basic paramod prunes 764945
% 9.96/10.34 Prime paramod prunes 5495
% 9.96/10.34 Semantic prunes 0
% 9.96/10.34
% 9.96/10.34 Rewrite attmepts 1761801
% 9.96/10.34 Rewrites 183578
% 9.96/10.34
% 9.96/10.34 FPA overloads 0
% 9.96/10.34 FPA underloads 0
% 9.96/10.34
% 9.96/10.34 Usable size 0
% 9.96/10.34 Sos size 20672
% 9.96/10.34 Demodulators size 6680
% 9.96/10.34 Passive size 0
% 9.96/10.34 Disabled size 6754
% 9.96/10.34
% 9.96/10.34 Proofs found 1
% 9.96/10.34
% 9.96/10.34 ----------- times (seconds) ----------- Fri Jul 8 13:10:40 2022
% 9.96/10.34
% 9.96/10.34 user CPU time 7.77 (0 hr, 0 min, 7 sec)
% 9.96/10.34 system CPU time 1.49 (0 hr, 0 min, 1 sec)
% 9.96/10.34 wall-clock time 9 (0 hr, 0 min, 9 sec)
% 9.96/10.34 input time 0.00
% 9.96/10.34 paramodulation time 0.50
% 9.96/10.34 demodulation time 0.47
% 9.96/10.34 orient time 0.23
% 9.96/10.34 weigh time 0.05
% 9.96/10.34 forward subsume time 0.16
% 9.96/10.34 back demod find time 0.68
% 9.96/10.34 conflict time 0.02
% 9.96/10.34 LRPO time 0.12
% 9.96/10.34 store clause time 4.42
% 9.96/10.34 disable clause time 0.69
% 9.96/10.34 prime paramod time 0.13
% 9.96/10.34 semantics time 0.00
% 9.96/10.34
% 9.96/10.34 EQP interrupted
%------------------------------------------------------------------------------