TSTP Solution File: BOO007-4 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n018.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 : Thu Jul 14 23:37:04 EDT 2022
% Result : Unsatisfiable 3.78s 4.15s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of clauses : 157 ( 157 unt; 0 nHn; 4 RR)
% Number of literals : 157 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 376 ( 66 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(A,B),add(B,A)),
file('BOO007-4.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),multiply(B,A)),
file('BOO007-4.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(add(A,B),add(A,C)),add(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(multiply(A,add(B,C)),add(multiply(A,B),multiply(A,C))),
file('BOO007-4.p',unknown),
[] ).
cnf(5,plain,
equal(add(multiply(add(A,B),A),multiply(add(A,B),C)),add(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
[iquote('back_demod(3),demod([4])')] ).
cnf(6,plain,
equal(add(A,additive_identity),A),
file('BOO007-4.p',unknown),
[] ).
cnf(7,plain,
equal(multiply(A,multiplicative_identity),A),
file('BOO007-4.p',unknown),
[] ).
cnf(8,plain,
equal(add(A,inverse(A)),multiplicative_identity),
file('BOO007-4.p',unknown),
[] ).
cnf(9,plain,
equal(multiply(A,inverse(A)),additive_identity),
file('BOO007-4.p',unknown),
[] ).
cnf(10,plain,
~ equal(multiply(multiply(a,b),c),multiply(a,multiply(b,c))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(11,plain,
equal(add(additive_identity,A),A),
inference(para,[status(thm),theory(equality)],[1,6]),
[iquote('para(1,6)')] ).
cnf(13,plain,
equal(add(multiply(A,B),multiply(A,C)),multiply(add(B,C),A)),
inference(para,[status(thm),theory(equality)],[4,2]),
[iquote('para(4,2)')] ).
cnf(14,plain,
equal(multiply(add(A,B),C),add(multiply(C,A),multiply(C,B))),
inference(flip,[status(thm),theory(equality)],[13]),
[iquote('flip(13)')] ).
cnf(15,plain,
equal(multiply(multiplicative_identity,A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,2]),1]),
[iquote('para(7,2),flip(1)')] ).
cnf(16,plain,
equal(add(multiply(add(A,B),C),multiply(add(A,B),A)),add(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,1]),1]),
[iquote('para(5,1),flip(1)')] ).
cnf(17,plain,
equal(add(multiply(add(A,B),B),multiply(add(B,A),C)),add(B,multiply(A,C))),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(20,plain,
equal(add(multiply(add(A,B),A),add(multiply(C,A),multiply(C,B))),add(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,5]),4]),
[iquote('para(2,5),demod([4])')] ).
cnf(21,plain,
equal(add(A,multiply(B,C)),add(multiply(add(A,B),A),add(multiply(C,A),multiply(C,B)))),
inference(flip,[status(thm),theory(equality)],[20]),
[iquote('flip(20)')] ).
cnf(22,plain,
equal(inverse(multiplicative_identity),additive_identity),
inference(para,[status(thm),theory(equality)],[15,9]),
[iquote('para(15,9)')] ).
cnf(24,plain,
equal(add(add(multiply(add(add(A,B),C),A),multiply(add(add(A,B),C),B)),multiply(add(add(A,B),C),D)),add(add(A,B),multiply(C,D))),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(25,plain,
equal(add(multiply(add(A,B),A),add(multiply(add(A,B),C),multiply(add(A,B),D))),add(A,add(multiply(B,C),multiply(B,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,5]),4]),
[iquote('para(4,5),demod([4])')] ).
cnf(28,plain,
equal(add(multiply(A,A),multiply(A,B)),add(A,multiply(additive_identity,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,5]),6]),
[iquote('para(6,5),demod([6])')] ).
cnf(29,plain,
equal(add(A,multiply(additive_identity,B)),add(multiply(A,A),multiply(A,B))),
inference(flip,[status(thm),theory(equality)],[28]),
[iquote('flip(28)')] ).
cnf(30,plain,
equal(add(inverse(A),A),multiplicative_identity),
inference(para,[status(thm),theory(equality)],[1,8]),
[iquote('para(1,8)')] ).
cnf(33,plain,
equal(add(multiply(A,B),multiply(A,inverse(B))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,4]),7]),1]),
[iquote('para(8,4),demod([7]),flip(1)')] ).
cnf(34,plain,
equal(multiply(inverse(A),A),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,2]),1]),
[iquote('para(9,2),flip(1)')] ).
cnf(35,plain,
equal(add(A,multiply(inverse(A),B)),add(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,5]),15,8,15]),1]),
[iquote('para(8,5),demod([15,8,15]),flip(1)')] ).
cnf(37,plain,
~ equal(multiply(multiply(b,a),c),multiply(a,multiply(b,c))),
inference(para,[status(thm),theory(equality)],[2,10]),
[iquote('para(2,10)')] ).
cnf(46,plain,
equal(add(multiply(A,B),multiply(B,C)),multiply(add(A,C),B)),
inference(para,[status(thm),theory(equality)],[2,13]),
[iquote('para(2,13)')] ).
cnf(59,plain,
equal(add(A,multiply(A,B)),multiply(add(multiplicative_identity,B),A)),
inference(para,[status(thm),theory(equality)],[7,13]),
[iquote('para(7,13)')] ).
cnf(60,plain,
equal(multiply(add(multiplicative_identity,A),B),add(B,multiply(B,A))),
inference(flip,[status(thm),theory(equality)],[59]),
[iquote('flip(59)')] ).
cnf(61,plain,
equal(add(multiply(A,B),A),multiply(add(B,multiplicative_identity),A)),
inference(para,[status(thm),theory(equality)],[7,13]),
[iquote('para(7,13)')] ).
cnf(62,plain,
equal(multiply(add(A,multiplicative_identity),B),add(multiply(B,A),B)),
inference(flip,[status(thm),theory(equality)],[61]),
[iquote('flip(61)')] ).
cnf(63,plain,
equal(add(A,multiplicative_identity),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,35]),8]),1]),
[iquote('para(7,35),demod([8]),flip(1)')] ).
cnf(64,plain,
equal(add(multiply(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[62]),63,15]),1]),
[iquote('back_demod(62),demod([63,15]),flip(1)')] ).
cnf(67,plain,
equal(add(multiplicative_identity,A),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[63,1]),1]),
[iquote('para(63,1),flip(1)')] ).
cnf(68,plain,
equal(add(A,multiply(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[60]),67,15]),1]),
[iquote('back_demod(60),demod([67,15]),flip(1)')] ).
cnf(70,plain,
equal(multiply(additive_identity,A),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,6]),1]),
[iquote('para(64,6),flip(1)')] ).
cnf(71,plain,
equal(add(multiply(A,A),multiply(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),70,6]),1]),
[iquote('back_demod(29),demod([70,6]),flip(1)')] ).
cnf(73,plain,
equal(add(A,A),A),
inference(para,[status(thm),theory(equality)],[7,64]),
[iquote('para(7,64)')] ).
cnf(74,plain,
equal(add(multiply(inverse(add(A,B)),A),multiply(inverse(add(A,B)),B)),additive_identity),
inference(para,[status(thm),theory(equality)],[14,9]),
[iquote('para(14,9)')] ).
cnf(83,plain,
equal(add(multiply(A,B),B),B),
inference(para,[status(thm),theory(equality)],[2,64]),
[iquote('para(2,64)')] ).
cnf(84,plain,
equal(add(A,multiply(B,A)),A),
inference(para,[status(thm),theory(equality)],[2,68]),
[iquote('para(2,68)')] ).
cnf(95,plain,
equal(multiply(A,A),A),
inference(para,[status(thm),theory(equality)],[73,71]),
[iquote('para(73,71)')] ).
cnf(97,plain,
equal(add(multiply(add(A,B),B),add(B,A)),add(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,17]),7]),
[iquote('para(7,17),demod([7])')] ).
cnf(98,plain,
equal(add(inverse(A),multiply(A,B)),add(inverse(A),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,17]),15,30,15]),1]),
[iquote('para(8,17),demod([15,30,15]),flip(1)')] ).
cnf(112,plain,
equal(multiply(A,inverse(inverse(A))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,33]),11]),
[iquote('para(9,33),demod([11])')] ).
cnf(115,plain,
equal(multiply(inverse(inverse(A)),A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[112,2]),1]),
[iquote('para(112,2),flip(1)')] ).
cnf(143,plain,
equal(inverse(inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[34,33]),115,6]),1]),
[iquote('para(34,33),demod([115,6]),flip(1)')] ).
cnf(151,plain,
equal(add(multiply(add(A,B),A),add(B,multiply(C,A))),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,20]),4,95,68]),
[iquote('para(16,20),demod([4,95,68])')] ).
cnf(160,plain,
equal(add(multiply(add(A,B),A),add(multiply(C,A),multiply(C,B))),add(multiply(B,C),A)),
inference(para,[status(thm),theory(equality)],[21,1]),
[iquote('para(21,1)')] ).
cnf(161,plain,
equal(add(multiply(A,B),C),add(multiply(add(C,A),C),add(multiply(B,C),multiply(B,A)))),
inference(flip,[status(thm),theory(equality)],[160]),
[iquote('flip(160)')] ).
cnf(162,plain,
equal(add(multiply(add(A,B),A),add(multiply(C,A),multiply(C,B))),add(A,multiply(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,21]),1]),
[iquote('para(2,21),flip(1)')] ).
cnf(163,plain,
equal(add(multiply(A,B),C),add(C,multiply(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[161]),162]),
[iquote('back_demod(161),demod([162])')] ).
cnf(164,plain,
equal(add(A,multiply(B,C)),add(multiply(C,B),A)),
inference(flip,[status(thm),theory(equality)],[163]),
[iquote('flip(163)')] ).
cnf(183,plain,
equal(add(multiply(A,B),multiply(B,inverse(A))),B),
inference(para,[status(thm),theory(equality)],[2,33]),
[iquote('para(2,33)')] ).
cnf(184,plain,
equal(add(multiply(A,B),multiply(inverse(B),A)),A),
inference(para,[status(thm),theory(equality)],[2,33]),
[iquote('para(2,33)')] ).
cnf(191,plain,
equal(add(add(multiply(add(add(A,add(B,C)),D),A),add(multiply(add(add(A,add(B,C)),D),B),multiply(add(add(A,add(B,C)),D),C))),multiply(add(add(A,add(B,C)),D),E)),add(add(A,add(B,C)),multiply(D,E))),
inference(para,[status(thm),theory(equality)],[4,24]),
[iquote('para(4,24)')] ).
cnf(195,plain,
equal(add(multiply(inverse(A),B),A),add(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,1]),1]),
[iquote('para(35,1),flip(1)')] ).
cnf(196,plain,
equal(add(A,multiply(B,inverse(A))),add(A,B)),
inference(para,[status(thm),theory(equality)],[2,35]),
[iquote('para(2,35)')] ).
cnf(212,plain,
equal(add(multiply(add(A,B),A),add(multiply(add(A,B),C),add(multiply(add(A,B),D),multiply(add(A,B),E)))),add(A,add(multiply(B,C),add(multiply(B,D),multiply(B,E))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,25]),4]),
[iquote('para(4,25),demod([4])')] ).
cnf(216,plain,
equal(add(A,add(multiply(A,B),multiply(A,C))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,25]),95,6,6,70,70,73,6]),
[iquote('para(6,25),demod([95,6,6,70,70,73,6])')] ).
cnf(217,plain,
equal(add(A,add(multiply(inverse(A),B),multiply(inverse(A),C))),add(A,add(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,25]),15,8,15,8,15]),1]),
[iquote('para(8,25),demod([15,8,15,8,15]),flip(1)')] ).
cnf(220,plain,
equal(add(multiply(A,B),multiply(inverse(A),B)),B),
inference(para,[status(thm),theory(equality)],[2,183]),
[iquote('para(2,183)')] ).
cnf(233,plain,
equal(add(multiply(A,inverse(B)),B),add(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[196,1]),1]),
[iquote('para(196,1),flip(1)')] ).
cnf(244,plain,
equal(add(inverse(A),add(multiply(A,B),multiply(A,C))),add(inverse(A),add(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,25]),15,30,15,30,15]),1]),
[iquote('para(30,25),demod([15,30,15,30,15]),flip(1)')] ).
cnf(245,plain,
equal(add(multiply(A,multiply(B,C)),multiply(A,multiply(B,inverse(C)))),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,4]),1]),
[iquote('para(33,4),flip(1)')] ).
cnf(246,plain,
equal(add(add(multiply(A,B),multiply(A,C)),multiply(A,inverse(add(B,C)))),A),
inference(para,[status(thm),theory(equality)],[4,33]),
[iquote('para(4,33)')] ).
cnf(250,plain,
equal(add(inverse(A),multiply(B,A)),add(inverse(A),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,16]),1]),
[iquote('para(33,16),flip(1)')] ).
cnf(266,plain,
equal(add(inverse(A),B),add(multiply(A,B),inverse(A))),
inference(para,[status(thm),theory(equality)],[98,1]),
[iquote('para(98,1)')] ).
cnf(279,plain,
equal(add(A,add(multiply(B,A),multiply(A,C))),A),
inference(para,[status(thm),theory(equality)],[2,216]),
[iquote('para(2,216)')] ).
cnf(282,plain,
equal(add(inverse(A),B),add(multiply(B,A),inverse(A))),
inference(para,[status(thm),theory(equality)],[250,1]),
[iquote('para(250,1)')] ).
cnf(288,plain,
equal(add(multiply(A,B),inverse(A)),add(B,inverse(A))),
inference(para,[status(thm),theory(equality)],[266,1]),
[iquote('para(266,1)')] ).
cnf(300,plain,
equal(add(A,add(multiply(B,A),multiply(C,A))),A),
inference(para,[status(thm),theory(equality)],[2,279]),
[iquote('para(2,279)')] ).
cnf(311,plain,
equal(add(multiply(A,B),inverse(B)),add(A,inverse(B))),
inference(para,[status(thm),theory(equality)],[282,1]),
[iquote('para(282,1)')] ).
cnf(326,plain,
equal(multiply(add(A,B),C),add(multiply(A,C),multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,46]),1]),
[iquote('para(2,46),flip(1)')] ).
cnf(387,plain,
equal(add(A,add(add(multiply(A,B),multiply(C,B)),add(add(multiply(A,D),multiply(C,D)),add(multiply(A,E),multiply(C,E))))),add(A,add(multiply(C,B),add(multiply(C,D),multiply(C,E))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[212]),326,95,84,326,326,326]),
[iquote('back_demod(212),demod([326,95,84,326,326,326])')] ).
cnf(403,plain,
equal(add(add(A,add(B,C)),add(add(multiply(A,D),add(multiply(B,D),multiply(C,D))),multiply(E,D))),add(add(A,add(B,C)),multiply(E,D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[191]),326,326,95,326,300,84,326,326,326,95,84,83,84,326,326,326,95,83,83,84,326,326,326]),
[iquote('back_demod(191),demod([326,326,95,326,300,84,326,326,326,95,84,83,84,326,326,326,95,83,83,84,326,326,326])')] ).
cnf(430,plain,
equal(add(A,add(B,multiply(C,A))),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[151]),326,95,84]),
[iquote('back_demod(151),demod([326,95,84])')] ).
cnf(470,plain,
equal(add(A,add(A,B)),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[97]),326,95,83]),
[iquote('back_demod(97),demod([326,95,83])')] ).
cnf(504,plain,
equal(add(multiply(A,multiply(B,C)),multiply(A,B)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,4]),1]),
[iquote('para(64,4),flip(1)')] ).
cnf(509,plain,
equal(add(add(multiply(inverse(add(add(A,B),C)),A),multiply(inverse(add(add(A,B),C)),B)),multiply(inverse(add(add(A,B),C)),C)),additive_identity),
inference(para,[status(thm),theory(equality)],[4,74]),
[iquote('para(4,74)')] ).
cnf(512,plain,
equal(add(add(A,B),A),add(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[470,1]),1]),
[iquote('para(470,1),flip(1)')] ).
cnf(513,plain,
equal(add(multiply(A,multiply(B,C)),multiply(A,C)),multiply(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[83,4]),1]),
[iquote('para(83,4),flip(1)')] ).
cnf(523,plain,
equal(add(multiply(inverse(add(A,B)),B),multiply(A,inverse(add(A,B)))),additive_identity),
inference(para,[status(thm),theory(equality)],[163,74]),
[iquote('para(163,74)')] ).
cnf(527,plain,
equal(add(multiply(A,inverse(add(B,A))),multiply(inverse(add(B,A)),B)),additive_identity),
inference(para,[status(thm),theory(equality)],[164,74]),
[iquote('para(164,74)')] ).
cnf(532,plain,
equal(add(A,inverse(multiply(B,A))),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,430]),63]),1]),
[iquote('para(30,430),demod([63]),flip(1)')] ).
cnf(536,plain,
equal(add(multiply(A,multiply(B,C)),multiply(A,multiply(inverse(C),B))),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[184,4]),1]),
[iquote('para(184,4),flip(1)')] ).
cnf(539,plain,
equal(add(add(A,multiply(B,C)),C),add(C,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[430,1]),1]),
[iquote('para(430,1),flip(1)')] ).
cnf(544,plain,
equal(add(A,add(B,multiply(A,C))),add(A,B)),
inference(para,[status(thm),theory(equality)],[2,430]),
[iquote('para(2,430)')] ).
cnf(569,plain,
equal(add(A,multiply(B,multiply(A,C))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[83,544]),68]),1]),
[iquote('para(83,544),demod([68]),flip(1)')] ).
cnf(570,plain,
equal(add(multiply(A,multiply(B,C)),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[569,1]),1]),
[iquote('para(569,1),flip(1)')] ).
cnf(589,plain,
equal(multiply(multiply(A,B),B),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[95,513]),68]),1]),
[iquote('para(95,513),demod([68]),flip(1)')] ).
cnf(596,plain,
equal(multiply(A,multiply(B,A)),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[589,2]),1]),
[iquote('para(589,2),flip(1)')] ).
cnf(648,plain,
equal(add(inverse(A),add(A,B)),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[95,244]),68,30]),1]),
[iquote('para(95,244),demod([68,30]),flip(1)')] ).
cnf(654,plain,
equal(add(multiply(A,multiply(B,multiply(C,D))),multiply(A,multiply(B,multiply(C,inverse(D))))),multiply(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[245,4]),1]),
[iquote('para(245,4),flip(1)')] ).
cnf(661,plain,
equal(add(inverse(multiply(inverse(A),B)),add(A,B)),multiplicative_identity),
inference(para,[status(thm),theory(equality)],[195,648]),
[iquote('para(195,648)')] ).
cnf(673,plain,
equal(add(multiply(A,B),multiply(A,inverse(add(inverse(A),B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,246]),11]),
[iquote('para(9,246),demod([11])')] ).
cnf(674,plain,
equal(add(multiply(A,B),multiply(A,inverse(add(B,inverse(A))))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,246]),6]),
[iquote('para(9,246),demod([6])')] ).
cnf(803,plain,
equal(add(multiply(A,inverse(add(A,B))),multiply(B,inverse(add(A,B)))),additive_identity),
inference(para,[status(thm),theory(equality)],[326,9]),
[iquote('para(326,9)')] ).
cnf(804,plain,
equal(multiply(A,multiply(inverse(A),B)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,504]),6,9]),
[iquote('para(9,504),demod([6,9])')] ).
cnf(807,plain,
equal(multiply(multiply(inverse(A),B),A),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[804,2]),1]),
[iquote('para(804,2),flip(1)')] ).
cnf(819,plain,
equal(multiply(A,inverse(multiply(inverse(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[804,33]),11]),
[iquote('para(804,33),demod([11])')] ).
cnf(821,plain,
equal(multiply(inverse(A),inverse(multiply(A,B))),inverse(A)),
inference(para,[status(thm),theory(equality)],[143,819]),
[iquote('para(143,819)')] ).
cnf(827,plain,
equal(multiply(A,inverse(multiply(B,inverse(A)))),A),
inference(para,[status(thm),theory(equality)],[2,819]),
[iquote('para(2,819)')] ).
cnf(836,plain,
equal(add(inverse(multiply(inverse(A),B)),A),inverse(multiply(inverse(A),B))),
inference(para,[status(thm),theory(equality)],[819,84]),
[iquote('para(819,84)')] ).
cnf(838,plain,
equal(multiply(inverse(multiply(A,inverse(B))),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[827,2]),1]),
[iquote('para(827,2),flip(1)')] ).
cnf(880,plain,
equal(multiply(inverse(A),inverse(multiply(B,A))),inverse(A)),
inference(para,[status(thm),theory(equality)],[2,821]),
[iquote('para(2,821)')] ).
cnf(889,plain,
equal(multiply(inverse(multiply(A,B)),inverse(B)),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[880,2]),1]),
[iquote('para(880,2),flip(1)')] ).
cnf(1525,plain,
equal(inverse(multiply(inverse(add(A,B)),A)),multiplicative_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[512,661]),836]),
[iquote('para(512,661),demod([836])')] ).
cnf(1534,plain,
equal(multiply(inverse(add(A,B)),A),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1525,9]),7]),
[iquote('para(1525,9),demod([7])')] ).
cnf(1539,plain,
equal(multiply(A,inverse(add(B,A))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[527]),1534,6]),
[iquote('back_demod(527),demod([1534,6])')] ).
cnf(1541,plain,
equal(multiply(A,inverse(add(A,B))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[803]),1539,6]),
[iquote('back_demod(803),demod([1539,6])')] ).
cnf(1543,plain,
equal(multiply(inverse(add(A,B)),B),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[523]),1541,6]),
[iquote('back_demod(523),demod([1541,6])')] ).
cnf(1544,plain,
equal(add(multiply(inverse(add(add(A,B),C)),A),multiply(inverse(add(add(A,B),C)),B)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[509]),1543,6]),
[iquote('back_demod(509),demod([1543,6])')] ).
cnf(1675,plain,
equal(multiply(A,inverse(add(inverse(A),B))),inverse(add(inverse(A),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1534,183]),6]),
[iquote('para(1534,183),demod([6])')] ).
cnf(1676,plain,
equal(add(multiply(A,B),inverse(add(inverse(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[673]),1675]),
[iquote('back_demod(673),demod([1675])')] ).
cnf(1771,plain,
equal(multiply(A,inverse(add(B,inverse(A)))),inverse(add(B,inverse(A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1539,220]),6]),
[iquote('para(1539,220),demod([6])')] ).
cnf(1772,plain,
equal(add(multiply(A,B),inverse(add(B,inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[674]),1771]),
[iquote('back_demod(674),demod([1771])')] ).
cnf(1856,plain,
equal(add(multiply(A,B),inverse(add(A,inverse(B)))),B),
inference(para,[status(thm),theory(equality)],[2,1772]),
[iquote('para(2,1772)')] ).
cnf(2191,plain,
equal(add(A,add(B,add(A,C))),add(A,add(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[184,387]),220,220,34,11,217]),
[iquote('para(184,387),demod([220,220,34,11,217])')] ).
cnf(2775,plain,
equal(multiply(inverse(add(A,B)),multiply(C,A)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[539,1534]),4,1543,11]),
[iquote('para(539,1534),demod([4,1543,11])')] ).
cnf(2967,plain,
equal(add(add(A,add(B,C)),multiply(D,B)),add(add(A,add(B,C)),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[95,403]),84,83,84]),1]),
[iquote('para(95,403),demod([84,83,84]),flip(1)')] ).
cnf(4948,plain,
equal(inverse(multiply(A,inverse(B))),add(B,inverse(add(B,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[838,1676]),143,233]),1]),
[iquote('para(838,1676),demod([143,233]),flip(1)')] ).
cnf(5412,plain,
equal(add(add(A,add(B,C)),B),add(B,add(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2191,1]),1]),
[iquote('para(2191,1),flip(1)')] ).
cnf(5413,plain,
equal(add(add(A,add(B,C)),multiply(D,B)),add(B,add(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2967]),5412]),
[iquote('back_demod(2967),demod([5412])')] ).
cnf(5854,plain,
equal(add(A,add(B,C)),add(B,add(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,5413]),6]),
[iquote('para(70,5413),demod([6])')] ).
cnf(5855,plain,
equal(add(A,add(B,C)),add(add(A,C),B)),
inference(para,[status(thm),theory(equality)],[5854,1]),
[iquote('para(5854,1)')] ).
cnf(5874,plain,
equal(add(add(A,B),C),add(A,add(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,5855]),1]),
[iquote('para(1,5855),flip(1)')] ).
cnf(8226,plain,
equal(multiply(inverse(add(A,add(B,C))),B),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1544]),5874,1534,5874,11]),
[iquote('back_demod(1544),demod([5874,1534,5874,11])')] ).
cnf(8592,plain,
equal(add(multiply(A,B),multiply(A,inverse(multiply(C,B)))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[532,4]),7]),1]),
[iquote('para(532,4),demod([7]),flip(1)')] ).
cnf(8595,plain,
equal(multiply(inverse(add(A,B)),multiply(C,multiply(B,D))),additive_identity),
inference(para,[status(thm),theory(equality)],[570,8226]),
[iquote('para(570,8226)')] ).
cnf(8631,plain,
equal(add(multiply(A,B),multiply(inverse(multiply(C,B)),A)),A),
inference(para,[status(thm),theory(equality)],[2,8592]),
[iquote('para(2,8592)')] ).
cnf(8660,plain,
equal(multiply(inverse(multiply(A,B)),multiply(inverse(B),A)),multiply(inverse(multiply(A,B)),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[34,536]),11]),
[iquote('para(34,536),demod([11])')] ).
cnf(8789,plain,
equal(multiply(inverse(multiply(A,B)),multiply(inverse(B),C)),multiply(inverse(B),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[807,8631]),11]),
[iquote('para(807,8631),demod([11])')] ).
cnf(8790,plain,
equal(multiply(inverse(multiply(A,B)),A),multiply(inverse(B),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8660]),8789]),1]),
[iquote('back_demod(8660),demod([8789]),flip(1)')] ).
cnf(8816,plain,
equal(multiply(A,inverse(multiply(A,B))),multiply(inverse(B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8790,2]),1]),
[iquote('para(8790,2),flip(1)')] ).
cnf(9104,plain,
equal(add(inverse(A),inverse(add(B,inverse(A)))),inverse(multiply(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[889,1676]),143,311]),
[iquote('para(889,1676),demod([143,311])')] ).
cnf(9119,plain,
equal(inverse(multiply(A,B)),add(inverse(add(A,inverse(B))),inverse(B))),
inference(para,[status(thm),theory(equality)],[9104,1]),
[iquote('para(9104,1)')] ).
cnf(9120,plain,
equal(add(inverse(add(A,inverse(B))),inverse(B)),inverse(multiply(A,B))),
inference(flip,[status(thm),theory(equality)],[9119]),
[iquote('flip(9119)')] ).
cnf(9288,plain,
equal(multiply(inverse(add(A,multiply(B,C))),multiply(D,multiply(C,B))),additive_identity),
inference(para,[status(thm),theory(equality)],[163,2775]),
[iquote('para(163,2775)')] ).
cnf(9311,plain,
equal(inverse(add(inverse(add(A,B)),inverse(multiply(C,A)))),multiply(C,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2775,1856]),11]),
[iquote('para(2775,1856),demod([11])')] ).
cnf(9312,plain,
equal(inverse(add(A,inverse(add(A,B)))),multiply(B,inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,9311]),22,4948,11]),
[iquote('para(30,9311),demod([22,4948,11])')] ).
cnf(9316,plain,
equal(inverse(add(A,inverse(B))),multiply(inverse(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,9312]),288,8816]),
[iquote('para(64,9312),demod([288,8816])')] ).
cnf(9317,plain,
equal(inverse(multiply(A,B)),add(inverse(A),inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9120]),9316,311]),1]),
[iquote('back_demod(9120),demod([9316,311]),flip(1)')] ).
cnf(9505,plain,
equal(inverse(add(A,B)),multiply(inverse(A),inverse(B))),
inference(para,[status(thm),theory(equality)],[143,9316]),
[iquote('para(143,9316)')] ).
cnf(9506,plain,
equal(add(multiply(multiply(inverse(A),inverse(B)),multiply(C,multiply(D,B))),multiply(multiply(inverse(A),inverse(D)),multiply(C,multiply(D,B)))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9288]),9505,9317,4,326]),
[iquote('back_demod(9288),demod([9505,9317,4,326])')] ).
cnf(9539,plain,
equal(multiply(multiply(inverse(A),inverse(B)),multiply(C,multiply(B,D))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8595]),9505]),
[iquote('back_demod(8595),demod([9505])')] ).
cnf(9540,plain,
equal(multiply(multiply(inverse(A),inverse(B)),multiply(C,multiply(D,B))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9506]),9539,6]),
[iquote('back_demod(9506),demod([9539,6])')] ).
cnf(9783,plain,
equal(multiply(multiply(A,inverse(B)),multiply(C,multiply(D,B))),additive_identity),
inference(para,[status(thm),theory(equality)],[143,9540]),
[iquote('para(143,9540)')] ).
cnf(9785,plain,
equal(multiply(multiply(A,B),multiply(C,multiply(D,inverse(B)))),additive_identity),
inference(para,[status(thm),theory(equality)],[143,9783]),
[iquote('para(143,9783)')] ).
cnf(9818,plain,
equal(multiply(A,multiply(B,C)),multiply(multiply(B,C),multiply(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[596,654]),9785,6]),
[iquote('para(596,654),demod([9785,6])')] ).
cnf(9830,plain,
equal(multiply(multiply(A,B),multiply(C,A)),multiply(multiply(A,B),C)),
inference(para,[status(thm),theory(equality)],[9818,2]),
[iquote('para(9818,2)')] ).
cnf(9836,plain,
equal(multiply(multiply(A,B),multiply(A,C)),multiply(multiply(A,B),C)),
inference(para,[status(thm),theory(equality)],[2,9830]),
[iquote('para(2,9830)')] ).
cnf(9866,plain,
equal(multiply(multiply(A,B),C),multiply(multiply(A,C),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9836,2]),9836]),
[iquote('para(9836,2),demod([9836])')] ).
cnf(9867,plain,
equal(multiply(multiply(A,B),C),multiply(B,multiply(A,C))),
inference(para,[status(thm),theory(equality)],[9866,2]),
[iquote('para(9866,2)')] ).
cnf(9868,plain,
$false,
inference(conflict,[status(thm)],[9867,37]),
[iquote('conflict(9867,37)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14 % Command : tptp2X_and_run_eqp %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 1 17:49:59 EDT 2022
% 0.15/0.35 % CPUTime :
% 3.78/4.15 ----- EQP 0.9e, May 2009 -----
% 3.78/4.15 The job began on n018.cluster.edu, Wed Jun 1 17:50:00 2022
% 3.78/4.15 The command was "./eqp09e".
% 3.78/4.15
% 3.78/4.15 set(prolog_style_variables).
% 3.78/4.15 set(lrpo).
% 3.78/4.15 set(basic_paramod).
% 3.78/4.15 set(functional_subsume).
% 3.78/4.15 set(ordered_paramod).
% 3.78/4.15 set(prime_paramod).
% 3.78/4.15 set(para_pairs).
% 3.78/4.15 assign(pick_given_ratio,4).
% 3.78/4.15 clear(print_kept).
% 3.78/4.15 clear(print_new_demod).
% 3.78/4.15 clear(print_back_demod).
% 3.78/4.15 clear(print_given).
% 3.78/4.15 assign(max_mem,64000).
% 3.78/4.15 end_of_commands.
% 3.78/4.15
% 3.78/4.15 Usable:
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 Sos:
% 3.78/4.15 0 (wt=-1) [] add(A,B) = add(B,A).
% 3.78/4.15 0 (wt=-1) [] multiply(A,B) = multiply(B,A).
% 3.78/4.15 0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(A,B),add(A,C)).
% 3.78/4.15 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.78/4.15 0 (wt=-1) [] add(A,additive_identity) = A.
% 3.78/4.15 0 (wt=-1) [] multiply(A,multiplicative_identity) = A.
% 3.78/4.15 0 (wt=-1) [] add(A,inverse(A)) = multiplicative_identity.
% 3.78/4.15 0 (wt=-1) [] multiply(A,inverse(A)) = additive_identity.
% 3.78/4.15 0 (wt=-1) [] -(multiply(a,multiply(b,c)) = multiply(multiply(a,b),c)).
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 Demodulators:
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 Passive:
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 Starting to process input.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 3.78/4.15 clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 3.78/4.15
% 3.78/4.15 ** KEPT: 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 3.78/4.15 clause forward subsumed: 0 (wt=7) [flip(2)] multiply(B,A) = multiply(A,B).
% 3.78/4.15
% 3.78/4.15 ** KEPT: 3 (wt=13) [flip(1)] multiply(add(A,B),add(A,C)) = add(A,multiply(B,C)).
% 3.78/4.15 3 is a new demodulator.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.78/4.15 4 is a new demodulator.
% 3.78/4.15 -> 4 back demodulating 3.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 3.78/4.15 5 is a new demodulator.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 6 (wt=5) [] add(A,additive_identity) = A.
% 3.78/4.15 6 is a new demodulator.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.78/4.15 7 is a new demodulator.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.78/4.15 8 is a new demodulator.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.78/4.15 9 is a new demodulator.
% 3.78/4.15
% 3.78/4.15 ** KEPT: 10 (wt=11) [flip(1)] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 3.78/4.15 ---------------- PROOF FOUND ----------------
% 3.78/4.15 % SZS status Unsatisfiable
% 3.78/4.15
% 3.78/4.15
% 3.78/4.15 After processing input:
% 3.78/4.15
% 3.78/4.15 Usable:
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 Sos:
% 3.78/4.15 6 (wt=5) [] add(A,additive_identity) = A.
% 3.78/4.15 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.78/4.15 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.78/4.15 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.78/4.15 1 (wt=7) [] add(A,B) = add(B,A).
% 3.78/4.15 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 3.78/4.15 10 (wt=11) [flip(1)] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 3.78/4.15 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.78/4.15 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 Demodulators:
% 3.78/4.15 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.78/4.15 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 3.78/4.15 6 (wt=5) [] add(A,additive_identity) = A.
% 3.78/4.15 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.78/4.15 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.78/4.15 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 Passive:
% 3.78/4.15 end_of_list.
% 3.78/4.15
% 3.78/4.15 UNIT CONFLICT from 9867 and 37 at 2.37 seconds.
% 3.78/4.15
% 3.78/4.15 ---------------- PROOF ----------------
% 3.78/4.15 % SZS output start Refutation
% See solution above
% 3.78/4.15 ------------ end of proof -------------
% 3.78/4.15
% 3.78/4.15
% 3.78/4.15 ------------- memory usage ------------
% 3.78/4.15 Memory dynamically allocated (tp_alloc): 23925.
% 3.78/4.15 type (bytes each) gets frees in use avail bytes
% 3.78/4.15 sym_ent ( 96) 59 0 59 0 5.5 K
% 3.78/4.15 term ( 16) 2041288 1681117 360171 59 6997.2 K
% 3.78/4.15 gen_ptr ( 8) 2389112 596779 1792333 156 14003.8 K
% 3.78/4.15 context ( 808) 1340255 1340253 2 11 10.3 K
% 3.78/4.15 trail ( 12) 1126840 1126840 0 9 0.1 K
% 3.78/4.15 bt_node ( 68) 522477 522474 3 46 3.3 K
% 3.78/4.15 ac_position (285432) 0 0 0 0 0.0 K
% 3.78/4.15 ac_match_pos (14044) 0 0 0 0 0.0 K
% 3.78/4.15 ac_match_free_vars_pos (4020)
% 3.78/4.15 0 0 0 0 0.0 K
% 3.78/4.15 discrim ( 12) 269883 183581 86302 34777 1418.9 K
% 3.78/4.15 flat ( 40) 4639509 4639509 0 147 5.7 K
% 3.78/4.15 discrim_pos ( 12) 121169 121169 0 1 0.0 K
% 3.78/4.15 fpa_head ( 12) 10792 0 10792 0 126.5 K
% 3.78/4.15 fpa_tree ( 28) 42730 42730 0 49 1.3 K
% 3.78/4.15 fpa_pos ( 36) 15318 15318 0 1 0.0 K
% 3.78/4.15 literal ( 12) 68638 58771 9867 1 115.6 K
% 3.78/4.15 clause ( 24) 68638 58771 9867 1 231.3 K
% 3.78/4.15 list ( 12) 5510 5454 56 8 0.8 K
% 3.78/4.15 list_pos ( 20) 48539 30508 18031 2397 399.0 K
% 3.78/4.15 pair_index ( 40) 2 0 2 0 0.1 K
% 3.78/4.15
% 3.78/4.15 -------------- statistics -------------
% 3.78/4.15 Clauses input 9
% 3.78/4.15 Usable input 0
% 3.78/4.15 Sos input 9
% 3.78/4.15 Demodulators input 0
% 3.78/4.15 Passive input 0
% 3.78/4.15
% 3.78/4.15 Processed BS (before search) 12
% 3.78/4.15 Forward subsumed BS 2
% 3.78/4.15 Kept BS 10
% 3.78/4.15 New demodulators BS 7
% 3.78/4.15 Back demodulated BS 1
% 3.78/4.15
% 3.78/4.15 Clauses or pairs given 72926
% 3.78/4.15 Clauses generated 45386
% 3.78/4.15 Forward subsumed 35529
% 3.78/4.15 Deleted by weight 0
% 3.78/4.15 Deleted by variable count 0
% 3.78/4.15 Kept 9857
% 3.78/4.15 New demodulators 5444
% 3.78/4.15 Back demodulated 6564
% 3.78/4.15 Ordered paramod prunes 0
% 3.78/4.15 Basic paramod prunes 248181
% 3.78/4.15 Prime paramod prunes 3530
% 3.78/4.15 Semantic prunes 0
% 3.78/4.15
% 3.78/4.15 Rewrite attmepts 699006
% 3.78/4.15 Rewrites 111218
% 3.78/4.15
% 3.78/4.15 FPA overloads 0
% 3.78/4.15 FPA underloads 0
% 3.78/4.15
% 3.78/4.15 Usable size 0
% 3.78/4.15 Sos size 3301
% 3.78/4.15 Demodulators size 1563
% 3.78/4.15 Passive size 0
% 3.78/4.15 Disabled size 6565
% 3.78/4.15
% 3.78/4.15 Proofs found 1
% 3.78/4.15
% 3.78/4.15 ----------- times (seconds) ----------- Wed Jun 1 17:50:03 2022
% 3.78/4.15
% 3.78/4.15 user CPU time 2.37 (0 hr, 0 min, 2 sec)
% 3.78/4.15 system CPU time 0.66 (0 hr, 0 min, 0 sec)
% 3.78/4.15 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.78/4.15 input time 0.00
% 3.78/4.15 paramodulation time 0.19
% 3.78/4.15 demodulation time 0.27
% 3.78/4.15 orient time 0.09
% 3.78/4.15 weigh time 0.03
% 3.78/4.15 forward subsume time 0.07
% 3.78/4.15 back demod find time 0.79
% 3.78/4.15 conflict time 0.01
% 3.78/4.15 LRPO time 0.03
% 3.78/4.15 store clause time 0.48
% 3.78/4.15 disable clause time 0.25
% 3.78/4.15 prime paramod time 0.04
% 3.78/4.15 semantics time 0.00
% 3.78/4.15
% 3.78/4.15 EQP interrupted
%------------------------------------------------------------------------------