TSTP Solution File: GRP669-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP669-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n010.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 08:48:46 EDT 2022
% Result : Unsatisfiable 1.87s 2.28s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 7
% Syntax : Number of clauses : 88 ( 88 unt; 0 nHn; 6 RR)
% Number of literals : 88 ( 0 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 204 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(mult(A,ld(A,B)),B),
file('GRP669-1.p',unknown),
[] ).
cnf(2,plain,
equal(ld(A,mult(A,B)),B),
file('GRP669-1.p',unknown),
[] ).
cnf(3,plain,
equal(mult(rd(A,B),B),A),
file('GRP669-1.p',unknown),
[] ).
cnf(4,plain,
equal(rd(mult(A,B),B),A),
file('GRP669-1.p',unknown),
[] ).
cnf(5,plain,
equal(mult(A,unit),A),
file('GRP669-1.p',unknown),
[] ).
cnf(6,plain,
equal(mult(unit,A),A),
file('GRP669-1.p',unknown),
[] ).
cnf(7,plain,
equal(mult(mult(mult(A,B),A),C),mult(A,mult(B,mult(A,C)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(8,plain,
equal(mult(mult(mult(A,B),C),B),mult(A,mult(B,mult(C,B)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(9,plain,
equal(mult(mult(A,mult(B,C)),A),mult(mult(A,B),mult(C,A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
equal(mult(mult(A,B),mult(C,A)),mult(A,mult(mult(B,C),A))),
file('GRP669-1.p',unknown),
[] ).
cnf(11,plain,
equal(mult(A,mult(mult(B,C),A)),mult(mult(A,B),mult(C,A))),
inference(flip,[status(thm),theory(equality)],[10]),
[iquote('flip(10)')] ).
cnf(12,plain,
~ equal(mult(a,mult(b,mult(mult(c,a),b))),mult(mult(a,b),mult(c,mult(a,b)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9,8]),1]),
[iquote('demod([9,8]),flip(1)')] ).
cnf(13,plain,
equal(ld(A,A),unit),
inference(para,[status(thm),theory(equality)],[5,2]),
[iquote('para(5,2)')] ).
cnf(15,plain,
equal(ld(unit,A),A),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(16,plain,
equal(ld(rd(A,B),A),B),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(20,plain,
equal(mult(mult(A,B),C),mult(B,mult(ld(B,A),mult(B,C)))),
inference(para,[status(thm),theory(equality)],[1,7]),
[iquote('para(1,7)')] ).
cnf(22,plain,
~ equal(mult(b,mult(ld(b,a),mult(b,mult(c,mult(a,b))))),mult(a,mult(b,mult(a,mult(ld(a,c),mult(a,b)))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),20,20]),1]),
[iquote('back_demod(12),demod([20,20]),flip(1)')] ).
cnf(23,plain,
equal(mult(A,mult(B,mult(ld(B,C),mult(B,A)))),mult(C,mult(ld(C,A),mult(C,mult(B,A))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),20,20]),
[iquote('back_demod(11),demod([20,20])')] ).
cnf(24,plain,
equal(mult(A,mult(ld(A,B),mult(A,mult(C,B)))),mult(B,mult(C,mult(ld(C,A),mult(C,B))))),
inference(flip,[status(thm),theory(equality)],[23]),
[iquote('flip(23)')] ).
cnf(26,plain,
equal(mult(A,mult(ld(A,B),mult(A,mult(ld(mult(B,A),ld(B,C)),mult(A,mult(ld(A,B),mult(A,mult(ld(mult(ld(B,C),mult(B,A)),B),mult(A,mult(ld(A,B),mult(A,mult(ld(mult(B,A),ld(B,C)),mult(A,mult(ld(A,B),mult(A,B))))))))))))))),mult(C,mult(B,mult(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),20,20,20,20,20,20,20,20]),
[iquote('back_demod(8),demod([20,20,20,20,20,20,20,20])')] ).
cnf(30,plain,
equal(mult(A,mult(ld(A,B),A)),mult(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,20]),5]),1]),
[iquote('para(5,20),demod([5]),flip(1)')] ).
cnf(32,plain,
equal(mult(A,mult(ld(A,rd(B,A)),mult(A,C))),mult(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,20]),1]),
[iquote('para(3,20),flip(1)')] ).
cnf(33,plain,
equal(mult(ld(A,B),A),ld(A,mult(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,2]),1]),
[iquote('para(30,2),flip(1)')] ).
cnf(34,plain,
equal(rd(mult(A,mult(ld(A,B),mult(A,C))),C),mult(B,A)),
inference(para,[status(thm),theory(equality)],[20,4]),
[iquote('para(20,4)')] ).
cnf(35,plain,
equal(mult(A,mult(ld(A,unit),mult(A,B))),mult(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,20]),1]),
[iquote('para(6,20),flip(1)')] ).
cnf(38,plain,
equal(mult(A,mult(ld(A,B),mult(A,mult(ld(mult(B,A),ld(B,C)),mult(A,mult(ld(A,B),mult(A,mult(ld(mult(ld(B,C),mult(B,A)),B),mult(A,mult(ld(A,B),mult(A,mult(ld(mult(B,A),ld(B,C)),mult(A,mult(ld(A,B),mult(A,D))))))))))))))),mult(A,mult(ld(A,mult(C,B)),mult(A,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,20]),20,20,20,20,20,20,20]),
[iquote('para(20,20),demod([20,20,20,20,20,20,20])')] ).
cnf(39,plain,
equal(mult(A,mult(ld(A,mult(B,C)),mult(A,C))),mult(B,mult(C,mult(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[26]),38]),
[iquote('back_demod(26),demod([38])')] ).
cnf(41,plain,
equal(mult(A,mult(ld(A,unit),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,35]),1]),
[iquote('para(1,35),demod([1])')] ).
cnf(44,plain,
equal(mult(A,B),ld(ld(A,unit),B)),
inference(para,[status(thm),theory(equality)],[1,41]),
[iquote('para(1,41)')] ).
cnf(47,plain,
equal(ld(ld(A,unit),ld(ld(ld(A,unit),unit),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[41]),44,44]),
[iquote('back_demod(41),demod([44,44])')] ).
cnf(49,plain,
equal(ld(ld(A,unit),ld(ld(ld(A,ld(ld(B,unit),C)),unit),ld(ld(A,unit),C))),ld(ld(B,unit),ld(ld(C,unit),ld(ld(A,unit),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[39]),44,44,44,44,44,44,44]),
[iquote('back_demod(39),demod([44,44,44,44,44,44,44])')] ).
cnf(53,plain,
equal(rd(ld(ld(A,unit),ld(ld(ld(A,B),unit),ld(ld(A,unit),C))),C),ld(ld(B,unit),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[34]),44,44,44,44]),
[iquote('back_demod(34),demod([44,44,44,44])')] ).
cnf(54,plain,
equal(ld(ld(ld(A,B),unit),A),ld(A,ld(ld(B,unit),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[33]),44,44]),
[iquote('back_demod(33),demod([44,44])')] ).
cnf(55,plain,
equal(ld(ld(A,unit),ld(ld(ld(A,rd(B,A)),unit),ld(ld(A,unit),C))),ld(ld(B,unit),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[32]),44,44,44,44]),
[iquote('back_demod(32),demod([44,44,44,44])')] ).
cnf(60,plain,
equal(ld(ld(A,unit),ld(ld(ld(A,B),unit),ld(ld(A,unit),ld(ld(C,unit),B)))),ld(ld(B,unit),ld(ld(C,unit),ld(ld(ld(C,A),unit),ld(ld(C,unit),B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),44,44,44,44,44,44,44,44]),
[iquote('back_demod(24),demod([44,44,44,44,44,44,44,44])')] ).
cnf(61,plain,
equal(ld(ld(A,unit),ld(ld(B,unit),ld(ld(ld(B,C),unit),ld(ld(B,unit),A)))),ld(ld(C,unit),ld(ld(ld(C,A),unit),ld(ld(C,unit),ld(ld(B,unit),A))))),
inference(flip,[status(thm),theory(equality)],[60]),
[iquote('flip(60)')] ).
cnf(62,plain,
~ equal(ld(ld(b,unit),ld(ld(ld(b,a),unit),ld(ld(b,unit),ld(ld(c,unit),ld(ld(a,unit),b))))),ld(ld(a,unit),ld(ld(b,unit),ld(ld(a,unit),ld(ld(ld(a,c),unit),ld(ld(a,unit),b)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),44,44,44,44,44,44,44,44,44,44]),
[iquote('back_demod(22),demod([44,44,44,44,44,44,44,44,44,44])')] ).
cnf(63,plain,
equal(ld(ld(ld(ld(A,unit),B),unit),C),ld(ld(B,unit),ld(ld(ld(B,A),unit),ld(ld(B,unit),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[20]),44,44,44,44,44]),
[iquote('back_demod(20),demod([44,44,44,44,44])')] ).
cnf(64,plain,
equal(ld(ld(A,unit),ld(ld(ld(A,B),unit),ld(ld(A,unit),C))),ld(ld(ld(ld(B,unit),A),unit),C)),
inference(flip,[status(thm),theory(equality)],[63]),
[iquote('flip(63)')] ).
cnf(65,plain,
equal(ld(ld(A,unit),unit),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5]),44]),
[iquote('back_demod(5),demod([44])')] ).
cnf(66,plain,
equal(ld(ld(A,unit),ld(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[47]),65]),
[iquote('back_demod(47),demod([65])')] ).
cnf(67,plain,
equal(rd(ld(ld(A,unit),B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),44]),
[iquote('back_demod(4),demod([44])')] ).
cnf(68,plain,
equal(ld(ld(rd(A,B),unit),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),44]),
[iquote('back_demod(3),demod([44])')] ).
cnf(69,plain,
equal(ld(A,ld(ld(A,unit),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2]),44]),
[iquote('back_demod(2),demod([44])')] ).
cnf(77,plain,
equal(rd(ld(A,B),B),ld(A,unit)),
inference(para,[status(thm),theory(equality)],[65,67]),
[iquote('para(65,67)')] ).
cnf(80,plain,
equal(rd(A,B),ld(rd(B,A),unit)),
inference(para,[status(thm),theory(equality)],[16,77]),
[iquote('para(16,77)')] ).
cnf(97,plain,
equal(ld(ld(A,unit),ld(ld(ld(A,B),unit),ld(ld(A,unit),B))),ld(ld(B,unit),ld(ld(A,unit),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,49]),15,13,15]),
[iquote('para(13,49),demod([15,13,15])')] ).
cnf(153,plain,
equal(rd(A,ld(B,unit)),ld(ld(A,unit),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,53]),65,66]),
[iquote('para(13,53),demod([65,66])')] ).
cnf(156,plain,
equal(ld(ld(ld(ld(A,unit),B),unit),ld(B,unit)),A),
inference(para,[status(thm),theory(equality)],[153,68]),
[iquote('para(153,68)')] ).
cnf(161,plain,
equal(ld(ld(ld(A,ld(B,unit)),unit),B),ld(A,unit)),
inference(para,[status(thm),theory(equality)],[153,77]),
[iquote('para(153,77)')] ).
cnf(164,plain,
equal(rd(ld(ld(A,unit),ld(ld(B,unit),ld(ld(C,unit),B))),B),ld(ld(ld(ld(A,unit),B),unit),C)),
inference(para,[status(thm),theory(equality)],[49,53]),
[iquote('para(49,53)')] ).
cnf(165,plain,
equal(ld(rd(ld(A,unit),B),unit),ld(ld(B,unit),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[153,80]),1]),
[iquote('para(153,80),flip(1)')] ).
cnf(172,plain,
equal(ld(ld(ld(A,B),unit),ld(B,unit)),ld(A,unit)),
inference(para,[status(thm),theory(equality)],[65,156]),
[iquote('para(65,156)')] ).
cnf(182,plain,
equal(rd(ld(A,unit),B),ld(ld(ld(B,unit),A),unit)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[165,65]),1]),
[iquote('para(165,65),flip(1)')] ).
cnf(187,plain,
equal(rd(A,B),ld(ld(A,unit),ld(B,unit))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,55]),65,66]),
[iquote('para(13,55),demod([65,66])')] ).
cnf(191,plain,
equal(ld(ld(ld(A,unit),B),unit),ld(B,ld(A,unit))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[182]),187,65]),1]),
[iquote('back_demod(182),demod([187,65]),flip(1)')] ).
cnf(197,plain,
equal(ld(ld(ld(ld(A,unit),ld(ld(B,unit),A)),ld(C,unit)),ld(A,unit)),ld(ld(A,ld(C,unit)),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[164]),187,191,191]),
[iquote('back_demod(164),demod([187,191,191])')] ).
cnf(236,plain,
equal(ld(ld(A,unit),ld(ld(ld(A,B),unit),ld(ld(A,unit),C))),ld(ld(A,ld(B,unit)),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[64]),191]),
[iquote('back_demod(64),demod([191])')] ).
cnf(272,plain,
equal(ld(ld(A,ld(B,unit)),B),ld(ld(B,unit),ld(ld(A,unit),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[97]),236]),
[iquote('back_demod(97),demod([236])')] ).
cnf(274,plain,
~ equal(ld(ld(a,unit),ld(ld(b,unit),ld(ld(a,ld(c,unit)),b))),ld(ld(b,ld(a,unit)),ld(ld(c,unit),ld(ld(a,unit),b)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[62]),236,236]),1]),
[iquote('back_demod(62),demod([236,236]),flip(1)')] ).
cnf(275,plain,
equal(ld(ld(A,unit),ld(ld(B,ld(C,unit)),A)),ld(ld(C,ld(A,unit)),ld(ld(B,unit),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[61]),236,236]),
[iquote('back_demod(61),demod([236,236])')] ).
cnf(281,plain,
equal(ld(ld(A,ld(B,unit)),unit),ld(ld(B,unit),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[53]),236,187,172]),
[iquote('back_demod(53),demod([236,187,172])')] ).
cnf(284,plain,
equal(ld(ld(ld(A,unit),B),A),ld(B,unit)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[161]),281]),
[iquote('back_demod(161),demod([281])')] ).
cnf(301,plain,
equal(ld(ld(A,B),ld(A,unit)),ld(B,unit)),
inference(para,[status(thm),theory(equality)],[65,284]),
[iquote('para(65,284)')] ).
cnf(303,plain,
equal(ld(ld(A,B),unit),ld(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,284]),1]),
[iquote('para(66,284),flip(1)')] ).
cnf(373,plain,
equal(ld(ld(A,B),B),ld(B,ld(ld(A,unit),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[54]),303]),
[iquote('back_demod(54),demod([303])')] ).
cnf(375,plain,
equal(ld(ld(A,B),ld(ld(B,A),C)),C),
inference(para,[status(thm),theory(equality)],[303,66]),
[iquote('para(303,66)')] ).
cnf(376,plain,
equal(ld(ld(ld(A,B),C),ld(B,A)),ld(C,unit)),
inference(para,[status(thm),theory(equality)],[303,284]),
[iquote('para(303,284)')] ).
cnf(393,plain,
equal(ld(ld(A,B),ld(A,ld(A,B))),ld(B,ld(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,373]),303,15]),1]),
[iquote('para(66,373),demod([303,15]),flip(1)')] ).
cnf(458,plain,
equal(ld(ld(A,B),ld(A,ld(B,A))),ld(B,ld(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[393,66]),303]),
[iquote('para(393,66),demod([303])')] ).
cnf(601,plain,
equal(ld(ld(ld(A,B),C),ld(C,unit)),ld(C,ld(ld(B,A),ld(C,unit)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[375,458]),376,376]),1]),
[iquote('para(375,458),demod([376,376]),flip(1)')] ).
cnf(610,plain,
equal(ld(ld(A,ld(B,C)),ld(C,B)),ld(ld(B,C),ld(ld(A,unit),ld(C,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[303,272]),303]),
[iquote('para(303,272),demod([303])')] ).
cnf(629,plain,
equal(ld(A,ld(ld(A,ld(B,unit)),C)),ld(ld(B,A),ld(ld(A,unit),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[197,275]),303,15,303,15,303,601,15,301,303]),
[iquote('para(197,275),demod([303,15,303,15,303,601,15,301,303])')] ).
cnf(630,plain,
equal(ld(ld(A,B),ld(ld(B,unit),C)),ld(B,ld(ld(B,ld(A,unit)),C))),
inference(flip,[status(thm),theory(equality)],[629]),
[iquote('flip(629)')] ).
cnf(639,plain,
~ equal(ld(ld(a,unit),ld(ld(c,ld(b,unit)),ld(ld(a,unit),b))),ld(ld(b,ld(a,unit)),ld(ld(c,unit),ld(ld(a,unit),b)))),
inference(para,[status(thm),theory(equality)],[275,274]),
[iquote('para(275,274)')] ).
cnf(1284,plain,
equal(ld(ld(A,B),C),ld(B,ld(ld(B,ld(A,unit)),ld(B,C)))),
inference(para,[status(thm),theory(equality)],[66,630]),
[iquote('para(66,630)')] ).
cnf(1460,plain,
equal(ld(ld(A,ld(ld(A,ld(B,unit)),ld(A,C))),ld(ld(C,ld(B,A)),D)),D),
inference(para,[status(thm),theory(equality)],[1284,375]),
[iquote('para(1284,375)')] ).
cnf(1463,plain,
equal(ld(ld(ld(A,ld(B,unit)),ld(A,C)),A),ld(C,ld(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,1460]),303]),
[iquote('para(13,1460),demod([303])')] ).
cnf(1475,plain,
equal(ld(ld(ld(A,B),ld(A,ld(C,unit))),ld(B,ld(C,A))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1463,66]),303]),
[iquote('para(1463,66),demod([303])')] ).
cnf(1498,plain,
equal(ld(ld(ld(A,B),ld(A,ld(C,D))),ld(B,ld(ld(D,C),A))),A),
inference(para,[status(thm),theory(equality)],[303,1475]),
[iquote('para(303,1475)')] ).
cnf(1500,plain,
equal(ld(ld(ld(A,B),ld(A,C)),ld(B,ld(ld(C,unit),A))),A),
inference(para,[status(thm),theory(equality)],[15,1498]),
[iquote('para(15,1498)')] ).
cnf(1507,plain,
equal(ld(ld(ld(A,B),ld(A,C)),A),ld(C,ld(ld(B,unit),A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1500,66]),303]),
[iquote('para(1500,66),demod([303])')] ).
cnf(1533,plain,
equal(ld(ld(ld(A,B),C),A),ld(ld(ld(A,unit),C),ld(ld(B,unit),A))),
inference(para,[status(thm),theory(equality)],[69,1507]),
[iquote('para(69,1507)')] ).
cnf(2172,plain,
equal(ld(ld(A,B),ld(C,unit)),ld(ld(C,B),ld(ld(A,C),ld(C,unit)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,1533]),303,15,303]),
[iquote('para(66,1533),demod([303,15,303])')] ).
cnf(2173,plain,
equal(ld(ld(A,B),ld(ld(C,A),ld(A,unit))),ld(ld(C,B),ld(A,unit))),
inference(flip,[status(thm),theory(equality)],[2172]),
[iquote('flip(2172)')] ).
cnf(2681,plain,
equal(ld(ld(A,B),ld(ld(C,A),ld(B,unit))),ld(ld(C,B),ld(B,unit))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2173,66]),303]),
[iquote('para(2173,66),demod([303])')] ).
cnf(2798,plain,
equal(ld(A,ld(ld(B,ld(C,unit)),ld(A,C))),ld(ld(C,A),ld(ld(B,unit),ld(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,2681]),303,303,610]),
[iquote('para(66,2681),demod([303,303,610])')] ).
cnf(2799,plain,
$false,
inference(conflict,[status(thm)],[2798,639]),
[iquote('conflict(2798,639)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP669-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 09:43:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.87/2.28 ----- EQP 0.9e, May 2009 -----
% 1.87/2.28 The job began on n010.cluster.edu, Tue Jun 14 09:43:25 2022
% 1.87/2.28 The command was "./eqp09e".
% 1.87/2.28
% 1.87/2.28 set(prolog_style_variables).
% 1.87/2.28 set(lrpo).
% 1.87/2.28 set(basic_paramod).
% 1.87/2.28 set(functional_subsume).
% 1.87/2.28 set(ordered_paramod).
% 1.87/2.28 set(prime_paramod).
% 1.87/2.28 set(para_pairs).
% 1.87/2.28 assign(pick_given_ratio,4).
% 1.87/2.28 clear(print_kept).
% 1.87/2.28 clear(print_new_demod).
% 1.87/2.28 clear(print_back_demod).
% 1.87/2.28 clear(print_given).
% 1.87/2.28 assign(max_mem,64000).
% 1.87/2.28 end_of_commands.
% 1.87/2.28
% 1.87/2.28 Usable:
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 Sos:
% 1.87/2.28 0 (wt=-1) [] mult(A,ld(A,B)) = B.
% 1.87/2.28 0 (wt=-1) [] ld(A,mult(A,B)) = B.
% 1.87/2.28 0 (wt=-1) [] mult(rd(A,B),B) = A.
% 1.87/2.28 0 (wt=-1) [] rd(mult(A,B),B) = A.
% 1.87/2.28 0 (wt=-1) [] mult(A,unit) = A.
% 1.87/2.28 0 (wt=-1) [] mult(unit,A) = A.
% 1.87/2.28 0 (wt=-1) [] mult(A,mult(B,mult(A,C))) = mult(mult(mult(A,B),A),C).
% 1.87/2.28 0 (wt=-1) [] mult(A,mult(B,mult(C,B))) = mult(mult(mult(A,B),C),B).
% 1.87/2.28 0 (wt=-1) [] mult(mult(A,B),mult(C,A)) = mult(mult(A,mult(B,C)),A).
% 1.87/2.28 0 (wt=-1) [] mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)).
% 1.87/2.28 0 (wt=-1) [] -(mult(mult(a,b),mult(c,mult(a,b))) = mult(mult(mult(a,mult(b,c)),a),b)).
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 Demodulators:
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 Passive:
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 Starting to process input.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 1 (wt=7) [] mult(A,ld(A,B)) = B.
% 1.87/2.28 1 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 2 (wt=7) [] ld(A,mult(A,B)) = B.
% 1.87/2.28 2 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 3 (wt=7) [] mult(rd(A,B),B) = A.
% 1.87/2.28 3 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 4 (wt=7) [] rd(mult(A,B),B) = A.
% 1.87/2.28 4 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 5 (wt=5) [] mult(A,unit) = A.
% 1.87/2.28 5 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 6 (wt=5) [] mult(unit,A) = A.
% 1.87/2.28 6 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 7 (wt=15) [flip(1)] mult(mult(mult(A,B),A),C) = mult(A,mult(B,mult(A,C))).
% 1.87/2.28 7 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 8 (wt=15) [flip(1)] mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))).
% 1.87/2.28 8 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 9 (wt=15) [flip(1)] mult(mult(A,mult(B,C)),A) = mult(mult(A,B),mult(C,A)).
% 1.87/2.28 9 is a new demodulator.
% 1.87/2.28
% 1.87/2.28 ** KEPT: 10 (wt=15) [] mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)).
% 1.87/2.28
% 1.87/2.28 ** KEPT: 11 (wt=15) [flip(10)] mult(A,mult(mult(B,C),A)) = mult(mult(A,B),mult(C,A)).
% 1.87/2.28 clause forward subsumed: 0 (wt=15) [flip(11)] mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)).
% 1.87/2.28
% 1.87/2.28 ** KEPT: 12 (wt=19) [demod([9,8]),flip(1)] -(mult(a,mult(b,mult(mult(c,a),b))) = mult(mult(a,b),mult(c,mult(a,b)))).
% 1.87/2.28 ---------------- PROOF FOUND ----------------
% 1.87/2.28 % SZS status Unsatisfiable
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 After processing input:
% 1.87/2.28
% 1.87/2.28 Usable:
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 Sos:
% 1.87/2.28 5 (wt=5) [] mult(A,unit) = A.
% 1.87/2.28 6 (wt=5) [] mult(unit,A) = A.
% 1.87/2.28 1 (wt=7) [] mult(A,ld(A,B)) = B.
% 1.87/2.28 2 (wt=7) [] ld(A,mult(A,B)) = B.
% 1.87/2.28 3 (wt=7) [] mult(rd(A,B),B) = A.
% 1.87/2.28 4 (wt=7) [] rd(mult(A,B),B) = A.
% 1.87/2.28 7 (wt=15) [flip(1)] mult(mult(mult(A,B),A),C) = mult(A,mult(B,mult(A,C))).
% 1.87/2.28 8 (wt=15) [flip(1)] mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))).
% 1.87/2.28 9 (wt=15) [flip(1)] mult(mult(A,mult(B,C)),A) = mult(mult(A,B),mult(C,A)).
% 1.87/2.28 10 (wt=15) [] mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)).
% 1.87/2.28 11 (wt=15) [flip(10)] mult(A,mult(mult(B,C),A)) = mult(mult(A,B),mult(C,A)).
% 1.87/2.28 12 (wt=19) [demod([9,8]),flip(1)] -(mult(a,mult(b,mult(mult(c,a),b))) = mult(mult(a,b),mult(c,mult(a,b)))).
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 Demodulators:
% 1.87/2.28 1 (wt=7) [] mult(A,ld(A,B)) = B.
% 1.87/2.28 2 (wt=7) [] ld(A,mult(A,B)) = B.
% 1.87/2.28 3 (wt=7) [] mult(rd(A,B),B) = A.
% 1.87/2.28 4 (wt=7) [] rd(mult(A,B),B) = A.
% 1.87/2.28 5 (wt=5) [] mult(A,unit) = A.
% 1.87/2.28 6 (wt=5) [] mult(unit,A) = A.
% 1.87/2.28 7 (wt=15) [flip(1)] mult(mult(mult(A,B),A),C) = mult(A,mult(B,mult(A,C))).
% 1.87/2.28 8 (wt=15) [flip(1)] mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))).
% 1.87/2.28 9 (wt=15) [flip(1)] mult(mult(A,mult(B,C)),A) = mult(mult(A,B),mult(C,A)).
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 Passive:
% 1.87/2.28 end_of_list.
% 1.87/2.28
% 1.87/2.28 UNIT CONFLICT from 2798 and 639 at 1.07 seconds.
% 1.87/2.28
% 1.87/2.28 ---------------- PROOF ----------------
% 1.87/2.28 % SZS output start Refutation
% See solution above
% 1.87/2.28 ------------ end of proof -------------
% 1.87/2.28
% 1.87/2.28
% 1.87/2.28 ------------- memory usage ------------
% 1.87/2.28 Memory dynamically allocated (tp_alloc): 21972.
% 1.87/2.28 type (bytes each) gets frees in use avail bytes
% 1.87/2.28 sym_ent ( 96) 58 0 58 0 5.4 K
% 1.87/2.28 term ( 16) 1331106 1074066 257040 170 5012.7 K
% 1.87/2.28 gen_ptr ( 8) 2070657 252889 1817768 154 14202.5 K
% 1.87/2.28 context ( 808) 760970 760968 2 7 7.1 K
% 1.87/2.28 trail ( 12) 758610 758610 0 6 0.1 K
% 1.87/2.28 bt_node ( 68) 101226 101223 3 128 8.7 K
% 1.87/2.28 ac_position (285432) 0 0 0 0 0.0 K
% 1.87/2.28 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.87/2.28 ac_match_free_vars_pos (4020)
% 1.87/2.28 0 0 0 0 0.0 K
% 1.87/2.28 discrim ( 12) 263809 112183 151626 364 1781.1 K
% 1.87/2.28 flat ( 40) 4218075 4218075 0 937 36.6 K
% 1.87/2.28 discrim_pos ( 12) 86461 86461 0 1 0.0 K
% 1.87/2.28 fpa_head ( 12) 3537 0 3537 0 41.4 K
% 1.87/2.28 fpa_tree ( 28) 25830 25830 0 123 3.4 K
% 1.87/2.28 fpa_pos ( 36) 4575 4575 0 1 0.0 K
% 1.87/2.28 literal ( 12) 13900 11102 2798 1 32.8 K
% 1.87/2.28 clause ( 24) 13900 11102 2798 1 65.6 K
% 1.87/2.28 list ( 12) 1836 1780 56 6 0.7 K
% 1.87/2.28 list_pos ( 20) 12530 5575 6955 8 136.0 K
% 1.87/2.28 pair_index ( 40) 2 0 2 0 0.1 K
% 1.87/2.28
% 1.87/2.28 -------------- statistics -------------
% 1.87/2.28 Clauses input 11
% 1.87/2.28 Usable input 0
% 1.87/2.28 Sos input 11
% 1.87/2.28 Demodulators input 0
% 1.87/2.28 Passive input 0
% 1.87/2.28
% 1.87/2.28 Processed BS (before search) 13
% 1.87/2.28 Forward subsumed BS 1
% 1.87/2.28 Kept BS 12
% 1.87/2.28 New demodulators BS 9
% 1.87/2.28 Back demodulated BS 0
% 1.87/2.28
% 1.87/2.28 Clauses or pairs given 3906
% 1.87/2.28 Clauses generated 9365
% 1.87/2.28 Forward subsumed 6579
% 1.87/2.28 Deleted by weight 0
% 1.87/2.28 Deleted by variable count 0
% 1.87/2.28 Kept 2786
% 1.87/2.28 New demodulators 1768
% 1.87/2.28 Back demodulated 1152
% 1.87/2.28 Ordered paramod prunes 0
% 1.87/2.28 Basic paramod prunes 12321
% 1.87/2.28 Prime paramod prunes 1975
% 1.87/2.28 Semantic prunes 0
% 1.87/2.28
% 1.87/2.28 Rewrite attmepts 646914
% 1.87/2.28 Rewrites 83263
% 1.87/2.28
% 1.87/2.28 FPA overloads 0
% 1.87/2.28 FPA underloads 0
% 1.87/2.28
% 1.87/2.28 Usable size 0
% 1.87/2.28 Sos size 1645
% 1.87/2.28 Demodulators size 868
% 1.87/2.28 Passive size 0
% 1.87/2.28 Disabled size 1152
% 1.87/2.28
% 1.87/2.28 Proofs found 1
% 1.87/2.28
% 1.87/2.28 ----------- times (seconds) ----------- Tue Jun 14 09:43:26 2022
% 1.87/2.28
% 1.87/2.28 user CPU time 1.07 (0 hr, 0 min, 1 sec)
% 1.87/2.28 system CPU time 0.12 (0 hr, 0 min, 0 sec)
% 1.87/2.28 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.87/2.28 input time 0.00
% 1.87/2.28 paramodulation time 0.06
% 1.87/2.28 demodulation time 0.24
% 1.87/2.28 orient time 0.04
% 1.87/2.28 weigh time 0.01
% 1.87/2.28 forward subsume time 0.02
% 1.87/2.28 back demod find time 0.44
% 1.87/2.28 conflict time 0.01
% 1.87/2.28 LRPO time 0.02
% 1.87/2.28 store clause time 0.19
% 1.87/2.28 disable clause time 0.01
% 1.87/2.28 prime paramod time 0.01
% 1.87/2.28 semantics time 0.00
% 1.87/2.28
% 1.87/2.28 EQP interrupted
%------------------------------------------------------------------------------