TSTP Solution File: GRP707-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 : Sat Jul 16 08:49:00 EDT 2022
% Result : Unsatisfiable 1.27s 1.66s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 9
% Syntax : Number of clauses : 215 ( 215 unt; 0 nHn; 5 RR)
% Number of literals : 215 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 463 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(mult(A,ld(A,B)),B),
file('GRP707-1.p',unknown),
[] ).
cnf(2,plain,
equal(ld(A,mult(A,B)),B),
file('GRP707-1.p',unknown),
[] ).
cnf(3,plain,
equal(mult(rd(A,B),B),A),
file('GRP707-1.p',unknown),
[] ).
cnf(4,plain,
equal(rd(mult(A,B),B),A),
file('GRP707-1.p',unknown),
[] ).
cnf(5,plain,
equal(mult(A,unit),A),
file('GRP707-1.p',unknown),
[] ).
cnf(6,plain,
equal(mult(unit,A),A),
file('GRP707-1.p',unknown),
[] ).
cnf(7,plain,
equal(mult(mult(mult(A,B),B),C),mult(A,mult(B,mult(B,C)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(8,plain,
equal(mult(A,mult(A,mult(A,A))),unit),
file('GRP707-1.p',unknown),
[] ).
cnf(9,plain,
equal(mult(mult(A,A),B),mult(B,mult(A,A))),
file('GRP707-1.p',unknown),
[] ).
cnf(10,plain,
equal(mult(A,mult(B,B)),mult(mult(B,B),A)),
inference(flip,[status(thm),theory(equality)],[9]),
[iquote('flip(9)')] ).
cnf(11,plain,
~ equal(mult(mult(a,b),a),mult(a,mult(b,a))),
file('GRP707-1.p',unknown),
[] ).
cnf(12,plain,
equal(ld(A,A),unit),
inference(para,[status(thm),theory(equality)],[5,2]),
[iquote('para(5,2)')] ).
cnf(14,plain,
equal(ld(unit,A),A),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(15,plain,
equal(ld(rd(A,B),A),B),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(18,plain,
equal(mult(A,mult(B,mult(B,ld(mult(mult(A,B),B),C)))),C),
inference(para,[status(thm),theory(equality)],[7,1]),
[iquote('para(7,1)')] ).
cnf(19,plain,
equal(mult(mult(A,ld(B,A)),C),mult(B,mult(ld(B,A),mult(ld(B,A),C)))),
inference(para,[status(thm),theory(equality)],[1,7]),
[iquote('para(1,7)')] ).
cnf(22,plain,
equal(rd(mult(A,mult(B,mult(B,C))),C),mult(mult(A,B),B)),
inference(para,[status(thm),theory(equality)],[7,4]),
[iquote('para(7,4)')] ).
cnf(23,plain,
equal(mult(mult(A,B),B),mult(A,mult(B,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,5]),5]),1]),
[iquote('para(7,5),demod([5]),flip(1)')] ).
cnf(24,plain,
equal(rd(mult(A,mult(B,mult(B,C))),C),mult(A,mult(B,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),23]),
[iquote('back_demod(22),demod([23])')] ).
cnf(26,plain,
equal(mult(A,mult(B,mult(B,ld(mult(A,mult(B,B)),C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[18]),23]),
[iquote('back_demod(18),demod([23])')] ).
cnf(27,plain,
equal(mult(mult(A,mult(B,B)),C),mult(A,mult(B,mult(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7]),23]),
[iquote('back_demod(7),demod([23])')] ).
cnf(28,plain,
equal(mult(A,mult(A,A)),ld(A,unit)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,2]),1]),
[iquote('para(8,2),flip(1)')] ).
cnf(29,plain,
equal(mult(ld(mult(A,A),B),mult(A,A)),B),
inference(para,[status(thm),theory(equality)],[9,1]),
[iquote('para(9,1)')] ).
cnf(30,plain,
equal(mult(A,A),ld(A,ld(A,unit))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,2]),1]),
[iquote('para(28,2),flip(1)')] ).
cnf(31,plain,
equal(mult(ld(ld(A,ld(A,unit)),B),ld(A,ld(A,unit))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),30,30]),
[iquote('back_demod(29),demod([30,30])')] ).
cnf(32,plain,
equal(mult(mult(A,ld(B,ld(B,unit))),C),mult(A,mult(B,mult(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[27]),30]),
[iquote('back_demod(27),demod([30])')] ).
cnf(33,plain,
equal(mult(A,mult(B,mult(B,ld(mult(A,ld(B,ld(B,unit))),C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[26]),30]),
[iquote('back_demod(26),demod([30])')] ).
cnf(35,plain,
equal(rd(mult(A,mult(B,mult(B,C))),C),mult(A,ld(B,ld(B,unit)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),30]),
[iquote('back_demod(24),demod([30])')] ).
cnf(36,plain,
equal(mult(mult(A,B),B),mult(A,ld(B,ld(B,unit)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[23]),30]),
[iquote('back_demod(23),demod([30])')] ).
cnf(37,plain,
equal(mult(A,ld(B,ld(B,unit))),mult(ld(B,ld(B,unit)),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),30,30]),
[iquote('back_demod(10),demod([30,30])')] ).
cnf(38,plain,
equal(mult(ld(A,ld(A,unit)),B),mult(B,ld(A,ld(A,unit)))),
inference(flip,[status(thm),theory(equality)],[37]),
[iquote('flip(37)')] ).
cnf(39,plain,
equal(ld(A,ld(A,ld(A,unit))),A),
inference(para,[status(thm),theory(equality)],[30,2]),
[iquote('para(30,2)')] ).
cnf(43,plain,
equal(mult(A,mult(ld(A,B),mult(ld(A,B),ld(mult(B,ld(A,B)),C)))),C),
inference(para,[status(thm),theory(equality)],[19,1]),
[iquote('para(19,1)')] ).
cnf(44,plain,
equal(ld(mult(A,ld(B,A)),mult(B,mult(ld(B,A),mult(ld(B,A),C)))),C),
inference(para,[status(thm),theory(equality)],[19,2]),
[iquote('para(19,2)')] ).
cnf(45,plain,
equal(mult(A,ld(ld(A,B),ld(ld(A,B),unit))),mult(B,ld(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,4]),35]),
[iquote('para(19,4),demod([35])')] ).
cnf(46,plain,
equal(mult(A,ld(B,A)),mult(B,ld(ld(B,A),ld(ld(B,A),unit)))),
inference(flip,[status(thm),theory(equality)],[45]),
[iquote('flip(45)')] ).
cnf(48,plain,
equal(ld(mult(A,B),mult(A,ld(B,ld(B,unit)))),B),
inference(para,[status(thm),theory(equality)],[36,2]),
[iquote('para(36,2)')] ).
cnf(50,plain,
equal(ld(ld(A,ld(A,unit)),ld(A,unit)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,48]),30]),
[iquote('para(1,48),demod([30])')] ).
cnf(55,plain,
equal(ld(ld(ld(A,ld(A,unit)),B),B),ld(A,ld(A,unit))),
inference(para,[status(thm),theory(equality)],[31,2]),
[iquote('para(31,2)')] ).
cnf(56,plain,
equal(ld(ld(rd(unit,A),A),A),rd(unit,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,50]),15]),
[iquote('para(15,50),demod([15])')] ).
cnf(57,plain,
equal(rd(A,ld(B,ld(B,unit))),ld(ld(B,ld(B,unit)),A)),
inference(para,[status(thm),theory(equality)],[31,4]),
[iquote('para(31,4)')] ).
cnf(62,plain,
equal(mult(ld(A,unit),B),mult(A,mult(A,mult(A,B)))),
inference(para,[status(thm),theory(equality)],[1,32]),
[iquote('para(1,32)')] ).
cnf(64,plain,
equal(mult(ld(A,ld(A,unit)),B),mult(A,mult(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,32]),6]),
[iquote('para(6,32),demod([6])')] ).
cnf(65,plain,
equal(mult(A,mult(A,B)),mult(B,ld(A,ld(A,unit)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[38]),64]),
[iquote('back_demod(38),demod([64])')] ).
cnf(66,plain,
equal(mult(A,ld(B,ld(B,unit))),mult(B,mult(B,A))),
inference(flip,[status(thm),theory(equality)],[65]),
[iquote('flip(65)')] ).
cnf(68,plain,
equal(ld(mult(A,rd(unit,B)),mult(A,ld(rd(unit,B),B))),rd(unit,B)),
inference(para,[status(thm),theory(equality)],[15,48]),
[iquote('para(15,48)')] ).
cnf(70,plain,
equal(mult(A,mult(A,mult(A,ld(ld(A,unit),B)))),B),
inference(para,[status(thm),theory(equality)],[62,1]),
[iquote('para(62,1)')] ).
cnf(73,plain,
equal(ld(ld(A,unit),mult(A,mult(A,mult(A,B)))),B),
inference(para,[status(thm),theory(equality)],[62,2]),
[iquote('para(62,2)')] ).
cnf(76,plain,
equal(mult(A,mult(A,ld(ld(A,ld(A,unit)),B))),B),
inference(para,[status(thm),theory(equality)],[64,1]),
[iquote('para(64,1)')] ).
cnf(77,plain,
equal(mult(A,mult(A,ld(mult(B,ld(A,ld(A,unit))),C))),ld(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,2]),1]),
[iquote('para(33,2),flip(1)')] ).
cnf(78,plain,
equal(ld(ld(A,ld(A,unit)),mult(A,mult(A,B))),B),
inference(para,[status(thm),theory(equality)],[64,2]),
[iquote('para(64,2)')] ).
cnf(84,plain,
equal(mult(ld(A,B),ld(A,ld(A,unit))),mult(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,65]),1]),
[iquote('para(1,65),flip(1)')] ).
cnf(85,plain,
equal(ld(A,mult(B,ld(A,ld(A,unit)))),mult(A,B)),
inference(para,[status(thm),theory(equality)],[65,2]),
[iquote('para(65,2)')] ).
cnf(86,plain,
equal(mult(A,B),ld(A,mult(B,ld(A,ld(A,unit))))),
inference(flip,[status(thm),theory(equality)],[85]),
[iquote('flip(85)')] ).
cnf(89,plain,
equal(rd(mult(A,ld(B,ld(B,unit))),mult(B,A)),B),
inference(para,[status(thm),theory(equality)],[65,4]),
[iquote('para(65,4)')] ).
cnf(90,plain,
equal(ld(A,mult(B,mult(B,A))),ld(B,ld(B,unit))),
inference(para,[status(thm),theory(equality)],[66,2]),
[iquote('para(66,2)')] ).
cnf(95,plain,
equal(mult(A,mult(A,ld(ld(A,unit),B))),ld(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,2]),1]),
[iquote('para(70,2),flip(1)')] ).
cnf(98,plain,
equal(ld(ld(A,ld(A,unit)),mult(B,mult(ld(ld(A,ld(A,unit)),C),C))),mult(B,ld(ld(ld(A,ld(A,unit)),C),ld(ld(ld(A,ld(A,unit)),C),unit)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,35]),57]),
[iquote('para(31,35),demod([57])')] ).
cnf(99,plain,
equal(ld(ld(A,unit),mult(A,mult(A,B))),ld(A,B)),
inference(para,[status(thm),theory(equality)],[1,73]),
[iquote('para(1,73)')] ).
cnf(100,plain,
equal(ld(ld(A,unit),ld(A,ld(A,unit))),ld(A,unit)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,99]),30]),
[iquote('para(5,99),demod([30])')] ).
cnf(105,plain,
equal(mult(A,ld(ld(A,ld(A,unit)),B)),ld(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[76,2]),1]),
[iquote('para(76,2),flip(1)')] ).
cnf(108,plain,
equal(ld(ld(A,ld(A,unit)),mult(A,B)),ld(A,B)),
inference(para,[status(thm),theory(equality)],[1,78]),
[iquote('para(1,78)')] ).
cnf(109,plain,
equal(ld(ld(A,ld(A,unit)),A),ld(A,unit)),
inference(para,[status(thm),theory(equality)],[5,108]),
[iquote('para(5,108)')] ).
cnf(116,plain,
equal(ld(ld(A,B),mult(A,B)),ld(A,ld(A,unit))),
inference(para,[status(thm),theory(equality)],[84,2]),
[iquote('para(84,2)')] ).
cnf(119,plain,
equal(ld(rd(unit,A),mult(B,ld(rd(unit,A),A))),mult(rd(unit,A),B)),
inference(para,[status(thm),theory(equality)],[15,85]),
[iquote('para(15,85)')] ).
cnf(120,plain,
equal(mult(rd(unit,A),B),ld(rd(unit,A),mult(B,ld(rd(unit,A),A)))),
inference(flip,[status(thm),theory(equality)],[119]),
[iquote('flip(119)')] ).
cnf(121,plain,
equal(ld(A,ld(A,mult(B,ld(A,ld(A,unit))))),B),
inference(para,[status(thm),theory(equality)],[86,2]),
[iquote('para(86,2)')] ).
cnf(124,plain,
equal(rd(mult(A,ld(rd(unit,B),B)),mult(rd(unit,B),A)),rd(unit,B)),
inference(para,[status(thm),theory(equality)],[15,89]),
[iquote('para(15,89)')] ).
cnf(125,plain,
equal(mult(A,ld(ld(A,unit),B)),ld(A,ld(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[95,2]),1]),
[iquote('para(95,2),flip(1)')] ).
cnf(128,plain,
equal(ld(A,ld(rd(unit,A),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,100]),15,15]),
[iquote('para(15,100),demod([15,15])')] ).
cnf(129,plain,
equal(ld(rd(unit,A),A),ld(A,ld(A,unit))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[128,1]),30]),1]),
[iquote('para(128,1),demod([30]),flip(1)')] ).
cnf(130,plain,
equal(rd(mult(A,ld(B,ld(B,unit))),mult(rd(unit,B),A)),rd(unit,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[124]),129]),
[iquote('back_demod(124),demod([129])')] ).
cnf(131,plain,
equal(mult(rd(unit,A),B),ld(rd(unit,A),mult(B,ld(A,ld(A,unit))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[120]),129]),
[iquote('back_demod(120),demod([129])')] ).
cnf(132,plain,
equal(ld(rd(unit,A),mult(B,ld(A,ld(A,unit)))),mult(rd(unit,A),B)),
inference(flip,[status(thm),theory(equality)],[131]),
[iquote('flip(131)')] ).
cnf(137,plain,
equal(ld(mult(A,rd(unit,B)),mult(A,ld(B,ld(B,unit)))),rd(unit,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[68]),129]),
[iquote('back_demod(68),demod([129])')] ).
cnf(141,plain,
equal(rd(unit,A),ld(A,unit)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[56]),129,109]),1]),
[iquote('back_demod(56),demod([129,109]),flip(1)')] ).
cnf(143,plain,
equal(ld(mult(A,ld(B,unit)),mult(A,ld(B,ld(B,unit)))),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[137]),141,141]),
[iquote('back_demod(137),demod([141,141])')] ).
cnf(148,plain,
equal(ld(ld(A,unit),mult(B,ld(A,ld(A,unit)))),mult(A,mult(A,mult(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[132]),141,141,62]),
[iquote('back_demod(132),demod([141,141,62])')] ).
cnf(149,plain,
equal(mult(A,mult(A,mult(A,B))),ld(ld(A,unit),mult(B,ld(A,ld(A,unit))))),
inference(flip,[status(thm),theory(equality)],[148]),
[iquote('flip(148)')] ).
cnf(150,plain,
equal(rd(mult(A,ld(B,ld(B,unit))),mult(B,mult(B,mult(B,A)))),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[130]),141,62,141]),
[iquote('back_demod(130),demod([141,62,141])')] ).
cnf(152,plain,
equal(mult(ld(A,B),mult(ld(A,B),ld(mult(B,ld(A,B)),C))),ld(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[43,2]),1]),
[iquote('para(43,2),flip(1)')] ).
cnf(153,plain,
equal(ld(mult(A,ld(B,A)),mult(B,mult(ld(B,A),C))),ld(ld(B,A),C)),
inference(para,[status(thm),theory(equality)],[1,44]),
[iquote('para(1,44)')] ).
cnf(155,plain,
equal(ld(A,mult(B,ld(A,B))),ld(ld(A,B),ld(ld(A,B),unit))),
inference(para,[status(thm),theory(equality)],[45,2]),
[iquote('para(45,2)')] ).
cnf(158,plain,
equal(mult(A,ld(mult(B,ld(C,B)),A)),mult(C,mult(ld(C,B),mult(ld(C,B),ld(ld(mult(B,ld(C,B)),A),ld(ld(mult(B,ld(C,B)),A),unit)))))),
inference(para,[status(thm),theory(equality)],[45,19]),
[iquote('para(45,19)')] ).
cnf(159,plain,
equal(mult(A,mult(ld(A,B),mult(ld(A,B),ld(ld(mult(B,ld(A,B)),C),ld(ld(mult(B,ld(A,B)),C),unit))))),mult(C,ld(mult(B,ld(A,B)),C))),
inference(flip,[status(thm),theory(equality)],[158]),
[iquote('flip(158)')] ).
cnf(160,plain,
equal(ld(ld(A,ld(A,unit)),B),ld(A,ld(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[105,2]),1]),
[iquote('para(105,2),flip(1)')] ).
cnf(162,plain,
equal(ld(A,ld(A,mult(B,mult(ld(A,ld(A,C)),C)))),mult(B,ld(ld(A,ld(A,C)),ld(ld(A,ld(A,C)),unit)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[98]),160,160,160,160]),
[iquote('back_demod(98),demod([160,160,160,160])')] ).
cnf(164,plain,
equal(rd(A,ld(B,ld(B,unit))),ld(B,ld(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[57]),160]),
[iquote('back_demod(57),demod([160])')] ).
cnf(165,plain,
equal(ld(ld(A,ld(A,B)),B),ld(A,ld(A,unit))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[55]),160]),
[iquote('back_demod(55),demod([160])')] ).
cnf(168,plain,
equal(ld(ld(A,B),ld(ld(A,B),mult(C,mult(A,mult(B,ld(A,B)))))),mult(C,ld(A,ld(A,unit)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[45,35]),164]),
[iquote('para(45,35),demod([164])')] ).
cnf(171,plain,
equal(ld(A,mult(B,ld(ld(B,A),ld(ld(B,A),unit)))),ld(B,A)),
inference(para,[status(thm),theory(equality)],[46,2]),
[iquote('para(46,2)')] ).
cnf(173,plain,
equal(ld(ld(A,unit),B),ld(A,ld(A,ld(A,B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[125,2]),1]),
[iquote('para(125,2),flip(1)')] ).
cnf(174,plain,
equal(mult(A,mult(A,mult(A,B))),ld(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[149]),173,121]),
[iquote('back_demod(149),demod([173,121])')] ).
cnf(175,plain,
equal(rd(mult(A,ld(B,ld(B,unit))),ld(B,A)),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[150]),174]),
[iquote('back_demod(150),demod([174])')] ).
cnf(176,plain,
equal(mult(ld(A,unit),B),ld(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[62]),174]),
[iquote('back_demod(62),demod([174])')] ).
cnf(177,plain,
equal(ld(A,ld(A,ld(A,ld(A,B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[176,2]),173]),
[iquote('para(176,2),demod([173])')] ).
cnf(178,plain,
equal(rd(ld(A,B),B),ld(A,unit)),
inference(para,[status(thm),theory(equality)],[176,4]),
[iquote('para(176,4)')] ).
cnf(182,plain,
equal(rd(A,B),ld(rd(B,A),unit)),
inference(para,[status(thm),theory(equality)],[15,178]),
[iquote('para(15,178)')] ).
cnf(183,plain,
equal(ld(rd(A,B),unit),rd(B,A)),
inference(flip,[status(thm),theory(equality)],[182]),
[iquote('flip(182)')] ).
cnf(184,plain,
equal(mult(A,ld(ld(A,mult(B,ld(C,ld(C,unit)))),ld(ld(A,mult(B,ld(C,ld(C,unit)))),unit))),mult(B,mult(C,mult(C,ld(A,mult(B,ld(C,ld(C,unit)))))))),
inference(para,[status(thm),theory(equality)],[46,32]),
[iquote('para(46,32)')] ).
cnf(185,plain,
equal(mult(A,mult(B,mult(B,ld(C,mult(A,ld(B,ld(B,unit))))))),mult(C,ld(ld(C,mult(A,ld(B,ld(B,unit)))),ld(ld(C,mult(A,ld(B,ld(B,unit)))),unit)))),
inference(flip,[status(thm),theory(equality)],[184]),
[iquote('flip(184)')] ).
cnf(189,plain,
equal(ld(mult(A,mult(B,mult(B,C))),mult(A,mult(B,mult(B,ld(C,ld(C,unit)))))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[32,48]),32]),
[iquote('para(32,48),demod([32])')] ).
cnf(190,plain,
equal(ld(mult(A,ld(B,unit)),A),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[36,48]),32,30,1,165,12,5]),
[iquote('para(36,48),demod([32,30,1,165,12,5])')] ).
cnf(191,plain,
equal(mult(mult(A,ld(B,unit)),B),A),
inference(para,[status(thm),theory(equality)],[190,1]),
[iquote('para(190,1)')] ).
cnf(192,plain,
equal(mult(mult(A,B),ld(B,ld(B,unit))),mult(A,ld(B,unit))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[48,45]),48,48,32,30,1]),
[iquote('para(48,45),demod([48,48,32,30,1])')] ).
cnf(195,plain,
equal(rd(A,B),mult(A,ld(B,unit))),
inference(para,[status(thm),theory(equality)],[191,4]),
[iquote('para(191,4)')] ).
cnf(198,plain,
equal(ld(mult(A,ld(B,unit)),unit),mult(B,ld(A,unit))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[183]),195,195]),
[iquote('back_demod(183),demod([195,195])')] ).
cnf(199,plain,
equal(mult(A,ld(B,unit)),ld(mult(B,ld(A,unit)),unit)),
inference(flip,[status(thm),theory(equality)],[198]),
[iquote('flip(198)')] ).
cnf(202,plain,
equal(mult(A,mult(B,mult(B,ld(ld(B,A),unit)))),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[175]),195,32]),
[iquote('back_demod(175),demod([195,32])')] ).
cnf(206,plain,
equal(mult(A,ld(B,ld(B,unit))),ld(B,ld(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[164]),195,165]),
[iquote('back_demod(164),demod([195,165])')] ).
cnf(208,plain,
equal(mult(A,ld(B,unit)),ld(B,ld(B,mult(A,B)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[192]),206]),1]),
[iquote('back_demod(192),demod([206]),flip(1)')] ).
cnf(213,plain,
equal(mult(A,mult(B,ld(ld(B,A),ld(ld(B,A),A)))),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[202]),208,1]),
[iquote('back_demod(202),demod([208,1])')] ).
cnf(216,plain,
equal(ld(A,ld(A,mult(B,A))),ld(ld(B,ld(B,mult(A,B))),unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[199]),208,208]),
[iquote('back_demod(199),demod([208,208])')] ).
cnf(217,plain,
equal(ld(ld(A,ld(A,mult(B,A))),unit),ld(B,ld(B,mult(A,B)))),
inference(flip,[status(thm),theory(equality)],[216]),
[iquote('flip(216)')] ).
cnf(219,plain,
equal(rd(A,B),ld(B,ld(B,mult(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[195]),208]),
[iquote('back_demod(195),demod([208])')] ).
cnf(238,plain,
equal(ld(ld(A,ld(A,mult(B,A))),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),219]),
[iquote('back_demod(15),demod([219])')] ).
cnf(239,plain,
equal(ld(ld(A,ld(A,mult(B,A))),ld(A,ld(A,B))),ld(A,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[143]),208,206]),
[iquote('back_demod(143),demod([208,206])')] ).
cnf(240,plain,
equal(ld(mult(A,mult(B,mult(B,C))),mult(A,mult(B,ld(C,ld(C,B))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[189]),206]),
[iquote('back_demod(189),demod([206])')] ).
cnf(241,plain,
equal(mult(A,mult(B,mult(B,ld(C,ld(B,ld(B,A)))))),ld(ld(C,ld(B,ld(B,A))),ld(ld(C,ld(B,ld(B,A))),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[185]),206,206,206,206]),
[iquote('back_demod(185),demod([206,206,206,206])')] ).
cnf(244,plain,
equal(ld(A,ld(ld(B,A),ld(ld(B,A),B))),ld(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[171]),206]),
[iquote('back_demod(171),demod([206])')] ).
cnf(245,plain,
equal(ld(ld(A,B),ld(ld(A,B),mult(C,mult(A,mult(B,ld(A,B)))))),ld(A,ld(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[168]),206]),
[iquote('back_demod(168),demod([206])')] ).
cnf(248,plain,
equal(ld(A,ld(A,mult(B,mult(ld(A,ld(A,C)),C)))),ld(ld(A,ld(A,C)),ld(ld(A,ld(A,C)),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[162]),206]),
[iquote('back_demod(162),demod([206])')] ).
cnf(249,plain,
equal(mult(A,mult(ld(A,B),ld(ld(mult(B,ld(A,B)),C),ld(ld(mult(B,ld(A,B)),C),ld(A,B))))),mult(C,ld(mult(B,ld(A,B)),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[159]),206]),
[iquote('back_demod(159),demod([206])')] ).
cnf(250,plain,
equal(mult(A,ld(mult(B,ld(C,B)),A)),mult(C,mult(ld(C,B),ld(ld(mult(B,ld(C,B)),A),ld(ld(mult(B,ld(C,B)),A),ld(C,B)))))),
inference(flip,[status(thm),theory(equality)],[249]),
[iquote('flip(249)')] ).
cnf(253,plain,
equal(mult(A,B),ld(A,ld(A,ld(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[86]),206]),
[iquote('back_demod(86),demod([206])')] ).
cnf(257,plain,
equal(ld(A,ld(A,ld(A,ld(ld(A,B),ld(ld(A,B),ld(ld(A,B),ld(ld(ld(B,ld(B,ld(B,ld(A,B)))),C),ld(ld(ld(B,ld(B,ld(B,ld(A,B)))),C),ld(A,B))))))))),ld(C,ld(C,ld(C,ld(ld(B,ld(B,ld(B,ld(A,B)))),C))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[250]),253,253,253,253,253,253]),1]),
[iquote('back_demod(250),demod([253,253,253,253,253,253]),flip(1)')] ).
cnf(258,plain,
equal(ld(A,ld(A,ld(B,ld(B,ld(B,ld(ld(A,ld(A,C)),ld(ld(A,ld(A,C)),ld(A,ld(A,unit))))))))),ld(ld(A,ld(A,C)),ld(ld(A,ld(A,C)),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[248]),253,165,253]),
[iquote('back_demod(248),demod([253,165,253])')] ).
cnf(259,plain,
equal(ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),C)),ld(A,ld(A,ld(C,ld(C,ld(C,ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),ld(A,ld(A,unit)))))))))),
inference(flip,[status(thm),theory(equality)],[258]),
[iquote('flip(258)')] ).
cnf(261,plain,
equal(ld(ld(A,B),ld(ld(A,B),ld(C,ld(C,ld(C,ld(A,ld(A,ld(A,ld(B,ld(B,ld(B,ld(A,B)))))))))))),ld(A,ld(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[245]),253,253,253]),
[iquote('back_demod(245),demod([253,253,253])')] ).
cnf(265,plain,
equal(ld(ld(A,ld(B,ld(B,C))),ld(ld(A,ld(B,ld(B,C))),A)),ld(C,ld(C,ld(C,ld(B,ld(B,ld(A,ld(B,ld(B,C))))))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[241]),253,253,177,253]),1]),
[iquote('back_demod(241),demod([253,253,177,253]),flip(1)')] ).
cnf(267,plain,
equal(ld(ld(A,ld(A,ld(A,ld(B,ld(B,C))))),ld(A,ld(A,ld(A,ld(B,ld(B,ld(B,ld(C,ld(C,B))))))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[240]),253,253,177,253,253,253]),
[iquote('back_demod(240),demod([253,253,177,253,253,253])')] ).
cnf(268,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),ld(A,ld(A,B))),ld(A,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[239]),253]),
[iquote('back_demod(239),demod([253])')] ).
cnf(269,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[238]),253]),
[iquote('back_demod(238),demod([253])')] ).
cnf(286,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),unit),ld(B,ld(B,ld(A,ld(A,ld(A,B)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[217]),253,253]),
[iquote('back_demod(217),demod([253,253])')] ).
cnf(290,plain,
equal(ld(A,ld(A,ld(A,ld(B,ld(B,ld(B,ld(ld(B,A),ld(ld(B,A),A)))))))),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[213]),253,253]),
[iquote('back_demod(213),demod([253,253])')] ).
cnf(294,plain,
equal(ld(A,ld(A,ld(A,ld(B,unit)))),ld(B,ld(B,ld(A,ld(A,ld(A,B)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[208]),253,253]),
[iquote('back_demod(208),demod([253,253])')] ).
cnf(296,plain,
equal(ld(A,ld(A,ld(A,ld(B,ld(B,unit))))),ld(B,ld(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[206]),253]),
[iquote('back_demod(206),demod([253])')] ).
cnf(297,plain,
equal(ld(A,ld(A,B)),ld(B,ld(B,ld(B,ld(A,ld(A,unit)))))),
inference(flip,[status(thm),theory(equality)],[296]),
[iquote('flip(296)')] ).
cnf(302,plain,
equal(ld(ld(A,B),ld(ld(A,B),unit)),ld(A,ld(B,ld(B,ld(B,ld(A,B)))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[155]),253]),1]),
[iquote('back_demod(155),demod([253]),flip(1)')] ).
cnf(305,plain,
equal(ld(ld(A,ld(A,ld(A,ld(B,A)))),ld(B,ld(B,ld(B,ld(ld(B,A),ld(ld(B,A),ld(ld(B,A),C))))))),ld(ld(B,A),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[153]),253,253,253]),
[iquote('back_demod(153),demod([253,253,253])')] ).
cnf(306,plain,
equal(ld(ld(A,B),ld(ld(A,B),ld(ld(B,ld(B,ld(B,ld(A,B)))),C))),ld(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[152]),253,253,253,177]),
[iquote('back_demod(152),demod([253,253,253,177])')] ).
cnf(307,plain,
equal(ld(ld(A,B),ld(A,ld(A,ld(A,B)))),ld(A,ld(A,unit))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[116]),253]),
[iquote('back_demod(116),demod([253])')] ).
cnf(308,plain,
equal(ld(A,ld(B,ld(B,A))),ld(B,ld(B,unit))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[90]),253,253,177]),
[iquote('back_demod(90),demod([253,253,177])')] ).
cnf(311,plain,
equal(ld(A,ld(A,ld(ld(B,ld(B,ld(B,ld(A,ld(A,unit))))),C))),ld(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[77]),253,253,253,177]),
[iquote('back_demod(77),demod([253,253,253,177])')] ).
cnf(317,plain,
equal(ld(ld(A,ld(A,ld(A,ld(B,ld(B,unit))))),ld(ld(A,ld(A,ld(A,ld(B,ld(B,unit))))),ld(ld(A,ld(A,ld(A,ld(B,ld(B,unit))))),C))),ld(A,ld(A,ld(A,ld(B,ld(B,C)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[32]),253,253,253,253,177,253]),
[iquote('back_demod(32),demod([253,253,253,253,177,253])')] ).
cnf(320,plain,
~ equal(ld(ld(a,ld(a,ld(a,b))),ld(b,ld(b,ld(b,ld(a,b))))),ld(a,ld(a,ld(a,ld(b,ld(b,ld(b,a))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),253,253,265,177,253,253]),
[iquote('back_demod(11),demod([253,253,265,177,253,253])')] ).
cnf(324,plain,
equal(ld(A,ld(ld(B,ld(B,A)),ld(ld(B,ld(B,A)),ld(B,ld(B,unit))))),ld(B,ld(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[160,244]),160,160]),
[iquote('para(160,244),demod([160,160])')] ).
cnf(332,plain,
equal(ld(ld(A,B),ld(ld(A,B),A)),ld(B,ld(B,ld(B,ld(A,B))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[244,177]),1]),
[iquote('para(244,177),flip(1)')] ).
cnf(335,plain,
equal(ld(ld(A,ld(A,ld(A,B))),ld(B,ld(B,A))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[177,244]),177,177]),
[iquote('para(177,244),demod([177,177])')] ).
cnf(339,plain,
equal(ld(ld(A,ld(A,ld(A,B))),ld(ld(A,ld(A,ld(A,B))),ld(A,unit))),ld(B,ld(B,ld(B,ld(A,ld(A,ld(A,B))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,257]),14,14,173,14,14,14,173,173,173,177,173,177,177,14,14,14,173]),
[iquote('para(14,257),demod([14,14,173,14,14,14,173,173,173,177,173,177,177,14,14,14,173])')] ).
cnf(343,plain,
equal(ld(A,ld(ld(B,ld(B,A)),ld(B,ld(B,unit)))),ld(B,ld(ld(B,A),ld(ld(B,A),ld(ld(B,A),ld(B,ld(B,A))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[165,308]),302]),
[iquote('para(165,308),demod([302])')] ).
cnf(348,plain,
equal(ld(ld(A,ld(A,B)),ld(B,ld(A,ld(A,unit)))),ld(B,ld(B,unit))),
inference(para,[status(thm),theory(equality)],[308,308]),
[iquote('para(308,308)')] ).
cnf(375,plain,
equal(ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),ld(C,ld(C,ld(C,ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),ld(A,ld(ld(A,B),ld(ld(A,B),ld(ld(A,B),ld(A,ld(A,B))))))))))))),ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[165,258]),165,302,165,165]),
[iquote('para(165,258),demod([165,302,165,165])')] ).
cnf(376,plain,
equal(ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),C)),ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),ld(C,ld(C,ld(C,ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),ld(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),ld(A,ld(ld(A,B),ld(ld(A,B),ld(ld(A,B),ld(A,ld(A,B)))))))))))))),
inference(flip,[status(thm),theory(equality)],[375]),
[iquote('flip(375)')] ).
cnf(389,plain,
equal(ld(A,ld(A,ld(ld(A,ld(A,B)),ld(A,ld(A,unit))))),ld(ld(A,ld(A,B)),unit)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[177,258]),12]),
[iquote('para(177,258),demod([12])')] ).
cnf(401,plain,
equal(ld(ld(A,ld(A,ld(B,A))),ld(B,unit)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[173,269]),173,177,173,177]),
[iquote('para(173,269),demod([173,177,173,177])')] ).
cnf(405,plain,
equal(ld(ld(A,ld(A,B)),ld(A,ld(A,unit))),ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[165,259]),324]),
[iquote('para(165,259),demod([324])')] ).
cnf(416,plain,
equal(ld(ld(A,ld(A,B)),unit),ld(B,ld(B,ld(A,ld(A,B))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[389]),405,177]),1]),
[iquote('back_demod(389),demod([405,177]),flip(1)')] ).
cnf(419,plain,
equal(ld(ld(A,ld(A,ld(A,B))),ld(ld(A,ld(A,ld(A,B))),ld(B,ld(B,ld(A,ld(A,ld(A,B))))))),ld(A,ld(A,ld(B,ld(B,ld(B,A)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[286]),416]),
[iquote('back_demod(286),demod([416])')] ).
cnf(426,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),C)),ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),ld(C,ld(C,ld(C,ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(A,ld(ld(A,B),ld(ld(A,B),ld(ld(A,B),ld(A,ld(A,B)))))))))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[376]),405,405,405,405]),
[iquote('back_demod(376),demod([405,405,405,405])')] ).
cnf(427,plain,
equal(ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),ld(C,ld(C,ld(C,ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(A,ld(ld(A,B),ld(ld(A,B),ld(ld(A,B),ld(A,ld(A,B))))))))))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),C))),
inference(flip,[status(thm),theory(equality)],[426]),
[iquote('flip(426)')] ).
cnf(433,plain,
equal(ld(A,ld(ld(A,B),ld(ld(A,B),ld(ld(A,B),ld(A,ld(A,B)))))),ld(B,ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[343]),405]),1]),
[iquote('back_demod(343),demod([405]),flip(1)')] ).
cnf(435,plain,
equal(ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),ld(C,ld(C,ld(C,ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(B,ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))))))))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[427]),433]),
[iquote('back_demod(427),demod([433])')] ).
cnf(436,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),C)),ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),ld(C,ld(C,ld(C,ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(B,ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B))))))))))))))),
inference(flip,[status(thm),theory(equality)],[435]),
[iquote('flip(435)')] ).
cnf(453,plain,
equal(ld(ld(A,ld(A,ld(B,ld(A,unit)))),ld(B,unit)),ld(A,unit)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[173,401]),173,177]),
[iquote('para(173,401),demod([173,177])')] ).
cnf(468,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),ld(B,ld(B,ld(A,ld(A,ld(A,B)))))),ld(B,ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[269,308]),416,419]),1]),
[iquote('para(269,308),demod([416,419]),flip(1)')] ).
cnf(485,plain,
equal(ld(ld(A,ld(B,ld(B,unit))),ld(ld(A,ld(B,ld(B,unit))),ld(C,ld(C,ld(C,ld(A,ld(A,ld(A,ld(B,ld(B,ld(A,ld(B,ld(B,unit))))))))))))),ld(A,ld(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[160,261]),160,177,160]),
[iquote('para(160,261),demod([160,177,160])')] ).
cnf(487,plain,
equal(ld(ld(ld(A,ld(A,ld(A,B))),B),ld(B,ld(B,A))),ld(A,ld(B,ld(B,ld(B,ld(A,B)))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[335,165]),416,307,348,302]),
[iquote('para(335,165),demod([416,307,348,302])')] ).
cnf(560,plain,
equal(ld(ld(A,ld(A,ld(A,B))),A),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,267]),173,12,173,39,12,39,12,39]),
[iquote('para(39,267),demod([173,12,173,39,12,39,12,39])')] ).
cnf(562,plain,
equal(ld(ld(A,ld(A,B)),A),ld(ld(A,B),ld(A,ld(A,unit)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[177,560]),416,307]),
[iquote('para(177,560),demod([416,307])')] ).
cnf(563,plain,
equal(ld(A,ld(A,ld(B,ld(B,ld(A,ld(A,B)))))),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[560]),562,405]),
[iquote('back_demod(560),demod([562,405])')] ).
cnf(578,plain,
equal(ld(ld(A,ld(A,B)),ld(ld(A,ld(A,B)),C)),ld(B,ld(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[436]),563,563,173,173,177,563,563,563,173,39,12,12,39]),1]),
[iquote('back_demod(436),demod([563,563,173,173,177,563,563,563,173,39,12,12,39]),flip(1)')] ).
cnf(609,plain,
equal(ld(ld(A,B),ld(ld(A,B),ld(B,ld(B,ld(A,ld(A,ld(A,B))))))),ld(A,ld(A,ld(B,ld(B,ld(B,A)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[419]),578]),
[iquote('back_demod(419),demod([578])')] ).
cnf(622,plain,
equal(ld(ld(A,B),ld(ld(A,B),ld(A,unit))),ld(B,ld(B,ld(B,ld(A,ld(A,ld(A,B))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[339]),578]),
[iquote('back_demod(339),demod([578])')] ).
cnf(626,plain,
equal(ld(ld(A,ld(A,ld(A,ld(B,ld(B,unit))))),ld(ld(A,ld(B,ld(B,unit))),ld(ld(A,ld(B,ld(B,unit))),C))),ld(A,ld(A,ld(A,ld(B,ld(B,C)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[317]),578]),
[iquote('back_demod(317),demod([578])')] ).
cnf(651,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),ld(B,ld(B,ld(A,ld(A,ld(A,B)))))),ld(B,ld(ld(A,ld(B,ld(B,ld(B,A)))),ld(A,ld(A,unit))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[468]),562]),
[iquote('back_demod(468),demod([562])')] ).
cnf(655,plain,
equal(ld(ld(A,B),A),ld(B,ld(B,ld(A,ld(A,B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[177,560]),416]),
[iquote('para(177,560),demod([416])')] ).
cnf(656,plain,
equal(ld(ld(A,B),ld(B,ld(B,ld(A,ld(A,B))))),ld(B,ld(B,ld(B,ld(A,B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[332]),655]),
[iquote('back_demod(332),demod([655])')] ).
cnf(657,plain,
equal(ld(ld(A,B),unit),ld(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[177,560]),1]),
[iquote('para(177,560),flip(1)')] ).
cnf(709,plain,
equal(ld(ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),ld(A,unit)),ld(A,ld(A,B))),ld(B,ld(ld(A,ld(B,ld(B,ld(B,A)))),ld(A,ld(A,unit))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[268,165]),657,655,578,609,651]),
[iquote('para(268,165),demod([657,655,578,609,651])')] ).
cnf(790,plain,
equal(ld(A,ld(A,ld(A,ld(ld(A,B),ld(ld(A,B),B))))),ld(B,ld(A,unit))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[290,177]),1]),
[iquote('para(290,177),flip(1)')] ).
cnf(802,plain,
equal(ld(A,ld(B,unit)),ld(B,ld(B,ld(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[173,294]),173,177,173,177,173,173,177,173,177]),
[iquote('para(173,294),demod([173,177,173,177,173,173,177,173,177])')] ).
cnf(803,plain,
equal(ld(A,ld(A,ld(B,A))),ld(B,ld(A,unit))),
inference(flip,[status(thm),theory(equality)],[802]),
[iquote('flip(802)')] ).
cnf(820,plain,
equal(ld(A,ld(A,ld(B,ld(A,unit)))),ld(B,A)),
inference(para,[status(thm),theory(equality)],[803,177]),
[iquote('para(803,177)')] ).
cnf(821,plain,
equal(ld(ld(A,B),ld(A,unit)),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[453]),820]),
[iquote('back_demod(453),demod([820])')] ).
cnf(826,plain,
equal(ld(A,ld(ld(B,ld(A,ld(A,ld(A,B)))),ld(B,ld(B,unit)))),ld(A,ld(B,ld(B,ld(B,ld(A,B)))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[709]),821,657,487]),1]),
[iquote('back_demod(709),demod([821,657,487]),flip(1)')] ).
cnf(831,plain,
equal(ld(ld(A,ld(A,ld(B,ld(B,ld(B,A))))),ld(B,ld(B,ld(A,ld(A,ld(A,B)))))),ld(B,ld(A,ld(A,ld(A,ld(B,A)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[651]),826]),
[iquote('back_demod(651),demod([826])')] ).
cnf(835,plain,
equal(ld(ld(A,B),ld(B,unit)),ld(B,ld(B,ld(B,ld(A,ld(A,ld(A,B))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[622]),821]),
[iquote('back_demod(622),demod([821])')] ).
cnf(838,plain,
equal(ld(ld(A,B),ld(ld(A,B),B)),ld(A,ld(ld(A,B),ld(A,ld(A,unit))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[177,803]),578,657,655,307]),
[iquote('para(177,803),demod([578,657,655,307])')] ).
cnf(841,plain,
equal(ld(ld(A,B),ld(A,ld(A,unit))),ld(B,ld(A,unit))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[790]),838,177]),
[iquote('back_demod(790),demod([838,177])')] ).
cnf(955,plain,
equal(ld(ld(A,ld(B,unit)),B),ld(B,ld(B,ld(B,ld(A,ld(A,ld(A,B))))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[820,821]),835,657]),1]),
[iquote('para(820,821),demod([835,657]),flip(1)')] ).
cnf(983,plain,
equal(ld(A,ld(B,ld(B,unit))),ld(B,ld(B,ld(A,unit)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[173,296]),173,177,173,177]),
[iquote('para(173,296),demod([173,177,173,177])')] ).
cnf(984,plain,
equal(ld(A,ld(A,ld(B,unit))),ld(B,ld(A,ld(A,unit)))),
inference(flip,[status(thm),theory(equality)],[983]),
[iquote('flip(983)')] ).
cnf(1098,plain,
equal(ld(ld(A,ld(A,ld(A,B))),B),ld(ld(B,ld(B,A)),ld(A,ld(A,ld(A,ld(B,ld(B,ld(B,ld(A,B))))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[268,297]),821,657,657,655,578,609,831,578]),
[iquote('para(268,297),demod([821,657,657,655,578,609,831,578])')] ).
cnf(1099,plain,
equal(ld(ld(A,ld(A,B)),ld(B,ld(B,ld(B,ld(A,ld(A,ld(A,ld(B,A)))))))),ld(ld(B,ld(B,ld(B,A))),A)),
inference(flip,[status(thm),theory(equality)],[1098]),
[iquote('flip(1098)')] ).
cnf(1222,plain,
equal(ld(A,ld(A,ld(B,ld(A,ld(A,unit))))),ld(B,unit)),
inference(para,[status(thm),theory(equality)],[984,177]),
[iquote('para(984,177)')] ).
cnf(1225,plain,
equal(ld(ld(A,ld(B,ld(B,unit))),ld(ld(A,ld(B,ld(B,unit))),C)),ld(A,ld(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[485]),1222,39,12,39]),
[iquote('back_demod(485),demod([1222,39,12,39])')] ).
cnf(1236,plain,
equal(ld(ld(A,ld(A,ld(A,ld(B,ld(B,unit))))),ld(A,ld(A,C))),ld(A,ld(A,ld(A,ld(B,ld(B,C)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[626]),1225]),
[iquote('back_demod(626),demod([1225])')] ).
cnf(1263,plain,
equal(ld(A,ld(A,ld(ld(A,ld(B,ld(B,unit))),ld(A,ld(A,C))))),ld(ld(A,ld(B,ld(B,unit))),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[160,305]),1222,160,160,177,1225,173,177]),
[iquote('para(160,305),demod([1222,160,160,177,1225,173,177])')] ).
cnf(1283,plain,
equal(ld(ld(A,ld(A,B)),C),ld(A,ld(A,ld(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[165,306]),165,165,160,311,160]),1]),
[iquote('para(165,306),demod([165,165,160,311,160]),flip(1)')] ).
cnf(1315,plain,
equal(ld(ld(A,ld(B,ld(B,unit))),C),ld(A,ld(A,ld(A,ld(B,ld(B,C)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1236]),1283,1263]),
[iquote('back_demod(1236),demod([1283,1263])')] ).
cnf(1362,plain,
equal(ld(A,ld(A,ld(ld(A,B),B))),ld(B,ld(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1099]),1283,177,177,1283]),1]),
[iquote('back_demod(1099),demod([1283,177,177,1283]),flip(1)')] ).
cnf(1510,plain,
~ equal(ld(a,ld(a,ld(ld(a,b),ld(b,ld(b,ld(b,ld(a,b))))))),ld(a,ld(a,ld(a,ld(b,ld(b,ld(b,a))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[320]),1283]),
[iquote('back_demod(320),demod([1283])')] ).
cnf(1511,plain,
equal(ld(A,ld(A,ld(B,ld(A,ld(A,C))))),ld(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[311]),1283,1315,177]),
[iquote('back_demod(311),demod([1283,1315,177])')] ).
cnf(1643,plain,
equal(ld(ld(A,B),B),ld(A,ld(A,ld(B,ld(A,B))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1362,177]),1]),
[iquote('para(1362,177),flip(1)')] ).
cnf(1658,plain,
equal(ld(A,ld(A,ld(B,C))),ld(B,ld(A,ld(A,C)))),
inference(para,[status(thm),theory(equality)],[1511,177]),
[iquote('para(1511,177)')] ).
cnf(1685,plain,
equal(ld(A,ld(A,ld(B,unit))),ld(ld(C,B),ld(A,ld(A,ld(C,unit))))),
inference(para,[status(thm),theory(equality)],[821,1658]),
[iquote('para(821,1658)')] ).
cnf(1687,plain,
equal(ld(ld(A,B),ld(B,ld(B,ld(A,unit)))),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,1685]),1643,14,39,173,173,177]),1]),
[iquote('para(12,1685),demod([1643,14,39,173,173,177]),flip(1)')] ).
cnf(1688,plain,
equal(ld(ld(ld(A,B),C),ld(C,ld(C,ld(B,A)))),C),
inference(para,[status(thm),theory(equality)],[657,1687]),
[iquote('para(657,1687)')] ).
cnf(2055,plain,
equal(ld(ld(A,ld(B,unit)),ld(A,ld(B,A))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[820,1688]),955,655,177,1283,12,841,821,657,655,307,841]),
[iquote('para(820,1688),demod([955,655,177,1283,12,841,821,657,655,307,841])')] ).
cnf(2056,plain,
equal(ld(ld(A,ld(B,C)),ld(A,ld(ld(C,B),A))),A),
inference(para,[status(thm),theory(equality)],[657,2055]),
[iquote('para(657,2055)')] ).
cnf(2057,plain,
equal(ld(ld(A,B),ld(A,ld(B,ld(B,ld(B,A))))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,2056]),173]),
[iquote('para(14,2056),demod([173])')] ).
cnf(2088,plain,
equal(ld(ld(A,B),ld(B,ld(B,ld(B,ld(A,B))))),ld(A,ld(B,ld(B,ld(B,A))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2057,177]),655,656]),
[iquote('para(2057,177),demod([655,656])')] ).
cnf(2103,plain,
~ equal(ld(a,ld(a,ld(a,ld(b,ld(b,ld(b,a)))))),ld(a,ld(a,ld(a,ld(b,ld(b,ld(b,a))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1510]),2088]),
[iquote('back_demod(1510),demod([2088])')] ).
cnf(2104,plain,
$false,
inference(conflict,[status(thm)],[2103]),
[iquote('xx_conflict(2103)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n025.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 : Tue Jun 14 07:54:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.27/1.66 ----- EQP 0.9e, May 2009 -----
% 1.27/1.66 The job began on n025.cluster.edu, Tue Jun 14 07:54:10 2022
% 1.27/1.66 The command was "./eqp09e".
% 1.27/1.66
% 1.27/1.66 set(prolog_style_variables).
% 1.27/1.66 set(lrpo).
% 1.27/1.66 set(basic_paramod).
% 1.27/1.66 set(functional_subsume).
% 1.27/1.66 set(ordered_paramod).
% 1.27/1.66 set(prime_paramod).
% 1.27/1.66 set(para_pairs).
% 1.27/1.66 assign(pick_given_ratio,4).
% 1.27/1.66 clear(print_kept).
% 1.27/1.66 clear(print_new_demod).
% 1.27/1.66 clear(print_back_demod).
% 1.27/1.66 clear(print_given).
% 1.27/1.66 assign(max_mem,64000).
% 1.27/1.66 end_of_commands.
% 1.27/1.66
% 1.27/1.66 Usable:
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 Sos:
% 1.27/1.66 0 (wt=-1) [] mult(A,ld(A,B)) = B.
% 1.27/1.66 0 (wt=-1) [] ld(A,mult(A,B)) = B.
% 1.27/1.66 0 (wt=-1) [] mult(rd(A,B),B) = A.
% 1.27/1.66 0 (wt=-1) [] rd(mult(A,B),B) = A.
% 1.27/1.66 0 (wt=-1) [] mult(A,unit) = A.
% 1.27/1.66 0 (wt=-1) [] mult(unit,A) = A.
% 1.27/1.66 0 (wt=-1) [] mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C).
% 1.27/1.66 0 (wt=-1) [] mult(A,mult(A,mult(A,A))) = unit.
% 1.27/1.66 0 (wt=-1) [] mult(mult(A,A),B) = mult(B,mult(A,A)).
% 1.27/1.66 0 (wt=-1) [] -(mult(mult(a,b),a) = mult(a,mult(b,a))).
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 Demodulators:
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 Passive:
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 Starting to process input.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 1 (wt=7) [] mult(A,ld(A,B)) = B.
% 1.27/1.66 1 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 2 (wt=7) [] ld(A,mult(A,B)) = B.
% 1.27/1.66 2 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 3 (wt=7) [] mult(rd(A,B),B) = A.
% 1.27/1.66 3 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 4 (wt=7) [] rd(mult(A,B),B) = A.
% 1.27/1.66 4 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 5 (wt=5) [] mult(A,unit) = A.
% 1.27/1.66 5 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 6 (wt=5) [] mult(unit,A) = A.
% 1.27/1.66 6 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 7 (wt=15) [flip(1)] mult(mult(mult(A,B),B),C) = mult(A,mult(B,mult(B,C))).
% 1.27/1.66 7 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 8 (wt=9) [] mult(A,mult(A,mult(A,A))) = unit.
% 1.27/1.66 8 is a new demodulator.
% 1.27/1.66
% 1.27/1.66 ** KEPT: 9 (wt=11) [] mult(mult(A,A),B) = mult(B,mult(A,A)).
% 1.27/1.66
% 1.27/1.66 ** KEPT: 10 (wt=11) [flip(9)] mult(A,mult(B,B)) = mult(mult(B,B),A).
% 1.27/1.66 clause forward subsumed: 0 (wt=11) [flip(10)] mult(mult(B,B),A) = mult(A,mult(B,B)).
% 1.27/1.66
% 1.27/1.66 ** KEPT: 11 (wt=11) [] -(mult(mult(a,b),a) = mult(a,mult(b,a))).
% 1.27/1.66 ---------------- PROOF FOUND ----------------
% 1.27/1.66 % SZS status Unsatisfiable
% 1.27/1.66
% 1.27/1.66
% 1.27/1.66 After processing input:
% 1.27/1.66
% 1.27/1.66 Usable:
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 Sos:
% 1.27/1.66 5 (wt=5) [] mult(A,unit) = A.
% 1.27/1.66 6 (wt=5) [] mult(unit,A) = A.
% 1.27/1.66 1 (wt=7) [] mult(A,ld(A,B)) = B.
% 1.27/1.66 2 (wt=7) [] ld(A,mult(A,B)) = B.
% 1.27/1.66 3 (wt=7) [] mult(rd(A,B),B) = A.
% 1.27/1.66 4 (wt=7) [] rd(mult(A,B),B) = A.
% 1.27/1.66 8 (wt=9) [] mult(A,mult(A,mult(A,A))) = unit.
% 1.27/1.66 9 (wt=11) [] mult(mult(A,A),B) = mult(B,mult(A,A)).
% 1.27/1.66 10 (wt=11) [flip(9)] mult(A,mult(B,B)) = mult(mult(B,B),A).
% 1.27/1.66 11 (wt=11) [] -(mult(mult(a,b),a) = mult(a,mult(b,a))).
% 1.27/1.66 7 (wt=15) [flip(1)] mult(mult(mult(A,B),B),C) = mult(A,mult(B,mult(B,C))).
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 Demodulators:
% 1.27/1.66 1 (wt=7) [] mult(A,ld(A,B)) = B.
% 1.27/1.66 2 (wt=7) [] ld(A,mult(A,B)) = B.
% 1.27/1.66 3 (wt=7) [] mult(rd(A,B),B) = A.
% 1.27/1.66 4 (wt=7) [] rd(mult(A,B),B) = A.
% 1.27/1.66 5 (wt=5) [] mult(A,unit) = A.
% 1.27/1.66 6 (wt=5) [] mult(unit,A) = A.
% 1.27/1.66 7 (wt=15) [flip(1)] mult(mult(mult(A,B),B),C) = mult(A,mult(B,mult(B,C))).
% 1.27/1.66 8 (wt=9) [] mult(A,mult(A,mult(A,A))) = unit.
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 Passive:
% 1.27/1.66 end_of_list.
% 1.27/1.66
% 1.27/1.66 UNIT CONFLICT from 2103 and x=x at 0.41 seconds.
% 1.27/1.66
% 1.27/1.66 ---------------- PROOF ----------------
% 1.27/1.66 % SZS output start Refutation
% See solution above
% 1.27/1.66 ------------ end of proof -------------
% 1.27/1.66
% 1.27/1.66
% 1.27/1.66 ------------- memory usage ------------
% 1.27/1.66 Memory dynamically allocated (tp_alloc): 7324.
% 1.27/1.66 type (bytes each) gets frees in use avail bytes
% 1.27/1.66 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.27/1.66 term ( 16) 515202 422089 93113 102 1812.4 K
% 1.27/1.66 gen_ptr ( 8) 712712 146154 566558 214 4427.9 K
% 1.27/1.66 context ( 808) 232060 232058 2 9 8.7 K
% 1.27/1.66 trail ( 12) 254084 254084 0 4 0.0 K
% 1.27/1.66 bt_node ( 68) 52365 52362 3 32 2.3 K
% 1.27/1.66 ac_position (285432) 0 0 0 0 0.0 K
% 1.27/1.66 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.27/1.66 ac_match_free_vars_pos (4020)
% 1.27/1.66 0 0 0 0 0.0 K
% 1.27/1.66 discrim ( 12) 97824 69219 28605 295 338.7 K
% 1.27/1.66 flat ( 40) 1397810 1397810 0 329 12.9 K
% 1.27/1.66 discrim_pos ( 12) 27387 27387 0 1 0.0 K
% 1.27/1.66 fpa_head ( 12) 3076 0 3076 0 36.0 K
% 1.27/1.66 fpa_tree ( 28) 10968 10968 0 57 1.6 K
% 1.27/1.66 fpa_pos ( 36) 3764 3764 0 1 0.0 K
% 1.27/1.66 literal ( 12) 9277 7174 2103 0 24.6 K
% 1.27/1.66 clause ( 24) 9277 7174 2103 0 49.3 K
% 1.27/1.66 list ( 12) 1721 1664 57 4 0.7 K
% 1.27/1.66 list_pos ( 20) 10930 6934 3996 9 78.2 K
% 1.27/1.66 pair_index ( 40) 2 0 2 0 0.1 K
% 1.27/1.66
% 1.27/1.66 -------------- statistics -------------
% 1.27/1.66 Clauses input 10
% 1.27/1.66 Usable input 0
% 1.27/1.66 Sos input 10
% 1.27/1.66 Demodulators input 0
% 1.27/1.66 Passive input 0
% 1.27/1.66
% 1.27/1.66 Processed BS (before search) 12
% 1.27/1.66 Forward subsumed BS 1
% 1.27/1.66 Kept BS 11
% 1.27/1.66 New demodulators BS 8
% 1.27/1.66 Back demodulated BS 0
% 1.27/1.66
% 1.27/1.66 Clauses or pairs given 2793
% 1.27/1.66 Clauses generated 6163
% 1.27/1.66 Forward subsumed 4071
% 1.27/1.66 Deleted by weight 0
% 1.27/1.66 Deleted by variable count 0
% 1.27/1.66 Kept 2092
% 1.27/1.66 New demodulators 1654
% 1.27/1.66 Back demodulated 1400
% 1.27/1.66 Ordered paramod prunes 0
% 1.27/1.66 Basic paramod prunes 6463
% 1.27/1.66 Prime paramod prunes 1097
% 1.27/1.66 Semantic prunes 0
% 1.27/1.66
% 1.27/1.66 Rewrite attmepts 175635
% 1.27/1.66 Rewrites 25526
% 1.27/1.66
% 1.27/1.66 FPA overloads 0
% 1.27/1.66 FPA underloads 0
% 1.27/1.66
% 1.27/1.66 Usable size 0
% 1.27/1.66 Sos size 702
% 1.27/1.66 Demodulators size 482
% 1.27/1.66 Passive size 0
% 1.27/1.66 Disabled size 1400
% 1.27/1.66
% 1.27/1.66 Proofs found 1
% 1.27/1.66
% 1.27/1.66 ----------- times (seconds) ----------- Tue Jun 14 07:54:11 2022
% 1.27/1.66
% 1.27/1.66 user CPU time 0.41 (0 hr, 0 min, 0 sec)
% 1.27/1.66 system CPU time 0.11 (0 hr, 0 min, 0 sec)
% 1.27/1.66 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.27/1.66 input time 0.00
% 1.27/1.66 paramodulation time 0.04
% 1.27/1.66 demodulation time 0.08
% 1.27/1.66 orient time 0.01
% 1.27/1.66 weigh time 0.00
% 1.27/1.66 forward subsume time 0.02
% 1.27/1.66 back demod find time 0.13
% 1.27/1.66 conflict time 0.01
% 1.27/1.66 LRPO time 0.00
% 1.27/1.66 store clause time 0.06
% 1.27/1.66 disable clause time 0.02
% 1.27/1.66 prime paramod time 0.02
% 1.27/1.66 semantics time 0.00
% 1.27/1.66
% 1.27/1.66 EQP interrupted
%------------------------------------------------------------------------------