TSTP Solution File: BOO015-4 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n017.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 23:37:08 EDT 2022
% Result : Unsatisfiable 3.14s 3.50s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of clauses : 117 ( 117 unt; 0 nHn; 3 RR)
% Number of literals : 117 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 242 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(A,B),add(B,A)),
file('BOO015-4.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),multiply(B,A)),
file('BOO015-4.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('BOO015-4.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('BOO015-4.p',unknown),
[] ).
cnf(7,plain,
equal(multiply(A,multiplicative_identity),A),
file('BOO015-4.p',unknown),
[] ).
cnf(8,plain,
equal(add(A,inverse(A)),multiplicative_identity),
file('BOO015-4.p',unknown),
[] ).
cnf(9,plain,
equal(multiply(A,inverse(A)),additive_identity),
file('BOO015-4.p',unknown),
[] ).
cnf(10,plain,
~ equal(inverse(multiply(a,b)),add(inverse(a),inverse(b))),
file('BOO015-4.p',unknown),
[] ).
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(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(44,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(58,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(59,plain,
equal(multiply(add(multiplicative_identity,A),B),add(B,multiply(B,A))),
inference(flip,[status(thm),theory(equality)],[58]),
[iquote('flip(58)')] ).
cnf(60,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(61,plain,
equal(multiply(add(A,multiplicative_identity),B),add(multiply(B,A),B)),
inference(flip,[status(thm),theory(equality)],[60]),
[iquote('flip(60)')] ).
cnf(65,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(66,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)],[61]),65,15]),1]),
[iquote('back_demod(61),demod([65,15]),flip(1)')] ).
cnf(68,plain,
equal(add(multiplicative_identity,A),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[65,1]),1]),
[iquote('para(65,1),flip(1)')] ).
cnf(69,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)],[59]),68,15]),1]),
[iquote('back_demod(59),demod([68,15]),flip(1)')] ).
cnf(70,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(71,plain,
equal(multiply(additive_identity,A),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,6]),1]),
[iquote('para(66,6),flip(1)')] ).
cnf(72,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]),71,6]),1]),
[iquote('back_demod(29),demod([71,6]),flip(1)')] ).
cnf(78,plain,
equal(add(A,A),A),
inference(para,[status(thm),theory(equality)],[7,66]),
[iquote('para(7,66)')] ).
cnf(85,plain,
equal(add(multiply(A,B),B),B),
inference(para,[status(thm),theory(equality)],[2,66]),
[iquote('para(2,66)')] ).
cnf(94,plain,
equal(add(A,multiply(B,A)),A),
inference(para,[status(thm),theory(equality)],[2,69]),
[iquote('para(2,69)')] ).
cnf(96,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(97,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(101,plain,
equal(multiply(A,A),A),
inference(para,[status(thm),theory(equality)],[78,72]),
[iquote('para(78,72)')] ).
cnf(117,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(127,plain,
equal(multiply(inverse(inverse(A)),A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[117,2]),1]),
[iquote('para(117,2),flip(1)')] ).
cnf(150,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]),4,101,69]),
[iquote('para(16,20),demod([4,101,69])')] ).
cnf(159,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(160,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)],[159]),
[iquote('flip(159)')] ).
cnf(161,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(162,plain,
equal(add(multiply(A,B),C),add(C,multiply(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[160]),161]),
[iquote('back_demod(160),demod([161])')] ).
cnf(163,plain,
equal(add(A,multiply(B,C)),add(multiply(C,B),A)),
inference(flip,[status(thm),theory(equality)],[162]),
[iquote('flip(162)')] ).
cnf(168,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]),127,6]),1]),
[iquote('para(34,33),demod([127,6]),flip(1)')] ).
cnf(193,plain,
equal(add(multiply(A,B),multiply(B,inverse(A))),B),
inference(para,[status(thm),theory(equality)],[2,33]),
[iquote('para(2,33)')] ).
cnf(194,plain,
equal(add(multiply(A,B),multiply(inverse(B),A)),A),
inference(para,[status(thm),theory(equality)],[2,33]),
[iquote('para(2,33)')] ).
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(198,plain,
equal(add(A,multiply(B,inverse(A))),add(A,B)),
inference(para,[status(thm),theory(equality)],[2,35]),
[iquote('para(2,35)')] ).
cnf(229,plain,
equal(add(multiply(A,B),multiply(inverse(A),B)),B),
inference(para,[status(thm),theory(equality)],[2,193]),
[iquote('para(2,193)')] ).
cnf(238,plain,
equal(add(multiply(A,inverse(B)),B),add(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[198,1]),1]),
[iquote('para(198,1),flip(1)')] ).
cnf(243,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(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(270,plain,
equal(add(multiply(A,B),inverse(A)),add(inverse(A),B)),
inference(para,[status(thm),theory(equality)],[1,97]),
[iquote('para(1,97)')] ).
cnf(271,plain,
equal(add(inverse(A),B),add(multiply(A,B),inverse(A))),
inference(flip,[status(thm),theory(equality)],[270]),
[iquote('flip(270)')] ).
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(293,plain,
equal(add(multiply(A,B),inverse(A)),add(B,inverse(A))),
inference(para,[status(thm),theory(equality)],[271,1]),
[iquote('para(271,1)')] ).
cnf(313,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(325,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)],[2,44]),1]),
[iquote('para(2,44),flip(1)')] ).
cnf(431,plain,
equal(add(A,add(B,multiply(C,A))),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[150]),325,101,94]),
[iquote('back_demod(150),demod([325,101,94])')] ).
cnf(471,plain,
equal(add(A,add(A,B)),add(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[96]),325,101,85]),
[iquote('back_demod(96),demod([325,101,85])')] ).
cnf(507,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)],[66,4]),1]),
[iquote('para(66,4),flip(1)')] ).
cnf(515,plain,
equal(add(add(A,B),A),add(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[471,1]),1]),
[iquote('para(471,1),flip(1)')] ).
cnf(525,plain,
equal(add(multiply(inverse(add(A,B)),B),multiply(A,inverse(add(A,B)))),additive_identity),
inference(para,[status(thm),theory(equality)],[162,70]),
[iquote('para(162,70)')] ).
cnf(530,plain,
equal(add(multiply(A,inverse(add(B,A))),multiply(inverse(add(B,A)),B)),additive_identity),
inference(para,[status(thm),theory(equality)],[163,70]),
[iquote('para(163,70)')] ).
cnf(535,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)],[30,431]),65]),1]),
[iquote('para(30,431),demod([65]),flip(1)')] ).
cnf(539,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)],[194,4]),1]),
[iquote('para(194,4),flip(1)')] ).
cnf(542,plain,
equal(add(add(A,multiply(B,C)),C),add(C,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[431,1]),1]),
[iquote('para(431,1),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)],[101,243]),69,30]),1]),
[iquote('para(101,243),demod([69,30]),flip(1)')] ).
cnf(671,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(672,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)],[9,245]),11]),
[iquote('para(9,245),demod([11])')] ).
cnf(673,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)],[9,245]),6]),
[iquote('para(9,245),demod([6])')] ).
cnf(810,plain,
equal(add(multiply(A,inverse(add(A,B))),multiply(B,inverse(add(A,B)))),additive_identity),
inference(para,[status(thm),theory(equality)],[325,9]),
[iquote('para(325,9)')] ).
cnf(811,plain,
equal(multiply(A,multiply(inverse(A),B)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,507]),6,9]),
[iquote('para(9,507),demod([6,9])')] ).
cnf(813,plain,
equal(multiply(multiply(inverse(A),B),A),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[811,2]),1]),
[iquote('para(811,2),flip(1)')] ).
cnf(844,plain,
equal(multiply(A,inverse(multiply(inverse(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[811,33]),11]),
[iquote('para(811,33),demod([11])')] ).
cnf(846,plain,
equal(multiply(inverse(A),inverse(multiply(A,B))),inverse(A)),
inference(para,[status(thm),theory(equality)],[168,844]),
[iquote('para(168,844)')] ).
cnf(849,plain,
equal(multiply(A,inverse(multiply(B,inverse(A)))),A),
inference(para,[status(thm),theory(equality)],[2,844]),
[iquote('para(2,844)')] ).
cnf(880,plain,
equal(add(inverse(multiply(inverse(A),B)),A),inverse(multiply(inverse(A),B))),
inference(para,[status(thm),theory(equality)],[844,94]),
[iquote('para(844,94)')] ).
cnf(882,plain,
equal(multiply(inverse(multiply(A,inverse(B))),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[849,2]),1]),
[iquote('para(849,2),flip(1)')] ).
cnf(902,plain,
equal(multiply(inverse(A),inverse(multiply(B,A))),inverse(A)),
inference(para,[status(thm),theory(equality)],[2,846]),
[iquote('para(2,846)')] ).
cnf(905,plain,
equal(multiply(inverse(multiply(A,B)),inverse(B)),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[902,2]),1]),
[iquote('para(902,2),flip(1)')] ).
cnf(1554,plain,
equal(inverse(multiply(inverse(add(A,B)),A)),multiplicative_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[515,671]),880]),
[iquote('para(515,671),demod([880])')] ).
cnf(1560,plain,
equal(multiply(inverse(add(A,B)),A),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1554,9]),7]),
[iquote('para(1554,9),demod([7])')] ).
cnf(1567,plain,
equal(multiply(A,inverse(add(B,A))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[530]),1560,6]),
[iquote('back_demod(530),demod([1560,6])')] ).
cnf(1569,plain,
equal(multiply(A,inverse(add(A,B))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[810]),1567,6]),
[iquote('back_demod(810),demod([1567,6])')] ).
cnf(1571,plain,
equal(multiply(inverse(add(A,B)),B),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[525]),1569,6]),
[iquote('back_demod(525),demod([1569,6])')] ).
cnf(1702,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)],[1560,193]),6]),
[iquote('para(1560,193),demod([6])')] ).
cnf(1703,plain,
equal(add(multiply(A,B),inverse(add(inverse(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[672]),1702]),
[iquote('back_demod(672),demod([1702])')] ).
cnf(1821,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)],[1567,229]),6]),
[iquote('para(1567,229),demod([6])')] ).
cnf(1822,plain,
equal(add(multiply(A,B),inverse(add(B,inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[673]),1821]),
[iquote('back_demod(673),demod([1821])')] ).
cnf(1872,plain,
equal(add(multiply(A,B),inverse(add(A,inverse(B)))),B),
inference(para,[status(thm),theory(equality)],[2,1822]),
[iquote('para(2,1822)')] ).
cnf(2841,plain,
equal(multiply(inverse(add(A,B)),multiply(C,A)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[542,1560]),4,1571,11]),
[iquote('para(542,1560),demod([4,1571,11])')] ).
cnf(4854,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)],[882,1703]),168,238]),1]),
[iquote('para(882,1703),demod([168,238]),flip(1)')] ).
cnf(8388,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)],[535,4]),7]),1]),
[iquote('para(535,4),demod([7]),flip(1)')] ).
cnf(8440,plain,
equal(add(multiply(A,B),multiply(inverse(multiply(C,B)),A)),A),
inference(para,[status(thm),theory(equality)],[2,8388]),
[iquote('para(2,8388)')] ).
cnf(8441,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)],[34,539]),11]),
[iquote('para(34,539),demod([11])')] ).
cnf(8612,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)],[813,8440]),11]),
[iquote('para(813,8440),demod([11])')] ).
cnf(8613,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)],[8441]),8612]),1]),
[iquote('back_demod(8441),demod([8612]),flip(1)')] ).
cnf(8636,plain,
equal(multiply(A,inverse(multiply(A,B))),multiply(inverse(B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8613,2]),1]),
[iquote('para(8613,2),flip(1)')] ).
cnf(8944,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)],[905,1703]),168,313]),
[iquote('para(905,1703),demod([168,313])')] ).
cnf(8947,plain,
equal(inverse(multiply(A,B)),add(inverse(add(A,inverse(B))),inverse(B))),
inference(para,[status(thm),theory(equality)],[8944,1]),
[iquote('para(8944,1)')] ).
cnf(8948,plain,
equal(add(inverse(add(A,inverse(B))),inverse(B)),inverse(multiply(A,B))),
inference(flip,[status(thm),theory(equality)],[8947]),
[iquote('flip(8947)')] ).
cnf(9117,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)],[2841,1872]),11]),
[iquote('para(2841,1872),demod([11])')] ).
cnf(9118,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)],[30,9117]),22,4854,11]),
[iquote('para(30,9117),demod([22,4854,11])')] ).
cnf(9121,plain,
equal(inverse(add(A,inverse(B))),multiply(inverse(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,9118]),293,8636]),
[iquote('para(66,9118),demod([293,8636])')] ).
cnf(9122,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)],[8948]),9121,313]),1]),
[iquote('back_demod(8948),demod([9121,313]),flip(1)')] ).
cnf(9123,plain,
$false,
inference(conflict,[status(thm)],[9122,10]),
[iquote('conflict(9122,10)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n017.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 : Wed Jun 1 17:23:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.14/3.50 ----- EQP 0.9e, May 2009 -----
% 3.14/3.50 The job began on n017.cluster.edu, Wed Jun 1 17:23:42 2022
% 3.14/3.50 The command was "./eqp09e".
% 3.14/3.50
% 3.14/3.50 set(prolog_style_variables).
% 3.14/3.50 set(lrpo).
% 3.14/3.50 set(basic_paramod).
% 3.14/3.50 set(functional_subsume).
% 3.14/3.50 set(ordered_paramod).
% 3.14/3.50 set(prime_paramod).
% 3.14/3.50 set(para_pairs).
% 3.14/3.50 assign(pick_given_ratio,4).
% 3.14/3.50 clear(print_kept).
% 3.14/3.50 clear(print_new_demod).
% 3.14/3.50 clear(print_back_demod).
% 3.14/3.50 clear(print_given).
% 3.14/3.50 assign(max_mem,64000).
% 3.14/3.50 end_of_commands.
% 3.14/3.50
% 3.14/3.50 Usable:
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 Sos:
% 3.14/3.50 0 (wt=-1) [] add(A,B) = add(B,A).
% 3.14/3.50 0 (wt=-1) [] multiply(A,B) = multiply(B,A).
% 3.14/3.50 0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(A,B),add(A,C)).
% 3.14/3.50 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.14/3.50 0 (wt=-1) [] add(A,additive_identity) = A.
% 3.14/3.50 0 (wt=-1) [] multiply(A,multiplicative_identity) = A.
% 3.14/3.50 0 (wt=-1) [] add(A,inverse(A)) = multiplicative_identity.
% 3.14/3.50 0 (wt=-1) [] multiply(A,inverse(A)) = additive_identity.
% 3.14/3.50 0 (wt=-1) [] -(inverse(multiply(a,b)) = add(inverse(a),inverse(b))).
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 Demodulators:
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 Passive:
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 Starting to process input.
% 3.14/3.50
% 3.14/3.50 ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 3.14/3.50 clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 3.14/3.50
% 3.14/3.50 ** KEPT: 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 3.14/3.50 clause forward subsumed: 0 (wt=7) [flip(2)] multiply(B,A) = multiply(A,B).
% 3.14/3.50
% 3.14/3.50 ** KEPT: 3 (wt=13) [flip(1)] multiply(add(A,B),add(A,C)) = add(A,multiply(B,C)).
% 3.14/3.50 3 is a new demodulator.
% 3.14/3.50
% 3.14/3.50 ** KEPT: 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.14/3.50 4 is a new demodulator.
% 3.14/3.50 -> 4 back demodulating 3.
% 3.14/3.50
% 3.14/3.50 ** 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)).
% 3.14/3.50 5 is a new demodulator.
% 3.14/3.50
% 3.14/3.50 ** KEPT: 6 (wt=5) [] add(A,additive_identity) = A.
% 3.14/3.50 6 is a new demodulator.
% 3.14/3.50
% 3.14/3.50 ** KEPT: 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.14/3.50 7 is a new demodulator.
% 3.14/3.50
% 3.14/3.50 ** KEPT: 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.14/3.50 8 is a new demodulator.
% 3.14/3.50
% 3.14/3.50 ** KEPT: 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.14/3.50 9 is a new demodulator.
% 3.14/3.50
% 3.14/3.50 ** KEPT: 10 (wt=10) [] -(inverse(multiply(a,b)) = add(inverse(a),inverse(b))).
% 3.14/3.50 ---------------- PROOF FOUND ----------------
% 3.14/3.50 % SZS status Unsatisfiable
% 3.14/3.50
% 3.14/3.50
% 3.14/3.50 After processing input:
% 3.14/3.50
% 3.14/3.50 Usable:
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 Sos:
% 3.14/3.50 6 (wt=5) [] add(A,additive_identity) = A.
% 3.14/3.50 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.14/3.50 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.14/3.50 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.14/3.50 1 (wt=7) [] add(A,B) = add(B,A).
% 3.14/3.50 2 (wt=7) [] multiply(A,B) = multiply(B,A).
% 3.14/3.50 10 (wt=10) [] -(inverse(multiply(a,b)) = add(inverse(a),inverse(b))).
% 3.14/3.50 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.14/3.50 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 Demodulators:
% 3.14/3.50 4 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.14/3.50 5 (wt=17) [back_demod(3),demod([4])] add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)).
% 3.14/3.50 6 (wt=5) [] add(A,additive_identity) = A.
% 3.14/3.50 7 (wt=5) [] multiply(A,multiplicative_identity) = A.
% 3.14/3.50 8 (wt=6) [] add(A,inverse(A)) = multiplicative_identity.
% 3.14/3.50 9 (wt=6) [] multiply(A,inverse(A)) = additive_identity.
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 Passive:
% 3.14/3.50 end_of_list.
% 3.14/3.50
% 3.14/3.50 UNIT CONFLICT from 9122 and 10 at 1.80 seconds.
% 3.14/3.50
% 3.14/3.50 ---------------- PROOF ----------------
% 3.14/3.50 % SZS output start Refutation
% See solution above
% 3.14/3.50 ------------ end of proof -------------
% 3.14/3.50
% 3.14/3.50
% 3.14/3.50 ------------- memory usage ------------
% 3.14/3.50 Memory dynamically allocated (tp_alloc): 21972.
% 3.14/3.50 type (bytes each) gets frees in use avail bytes
% 3.14/3.50 sym_ent ( 96) 58 0 58 0 5.4 K
% 3.14/3.50 term ( 16) 1818641 1487096 331545 31 6440.4 K
% 3.14/3.50 gen_ptr ( 8) 2155718 521018 1634700 116 12772.0 K
% 3.14/3.50 context ( 808) 1230294 1230292 2 11 10.3 K
% 3.14/3.50 trail ( 12) 1050619 1050619 0 9 0.1 K
% 3.14/3.50 bt_node ( 68) 494333 494330 3 46 3.3 K
% 3.14/3.50 ac_position (285432) 0 0 0 0 0.0 K
% 3.14/3.50 ac_match_pos (14044) 0 0 0 0 0.0 K
% 3.14/3.50 ac_match_free_vars_pos (4020)
% 3.14/3.50 0 0 0 0 0.0 K
% 3.14/3.50 discrim ( 12) 243332 157343 85989 27234 1326.8 K
% 3.14/3.50 flat ( 40) 4169112 4169112 0 147 5.7 K
% 3.14/3.50 discrim_pos ( 12) 105029 105029 0 1 0.0 K
% 3.14/3.50 fpa_head ( 12) 10353 0 10353 0 121.3 K
% 3.14/3.50 fpa_tree ( 28) 37525 37525 0 49 1.3 K
% 3.14/3.50 fpa_pos ( 36) 13988 13988 0 1 0.0 K
% 3.14/3.50 literal ( 12) 63333 54211 9122 1 106.9 K
% 3.14/3.50 clause ( 24) 63333 54211 9122 1 213.8 K
% 3.14/3.50 list ( 12) 4925 4868 57 7 0.8 K
% 3.14/3.50 list_pos ( 20) 43406 24786 18620 1255 388.2 K
% 3.14/3.50 pair_index ( 40) 2 0 2 0 0.1 K
% 3.14/3.50
% 3.14/3.50 -------------- statistics -------------
% 3.14/3.50 Clauses input 9
% 3.14/3.50 Usable input 0
% 3.14/3.50 Sos input 9
% 3.14/3.50 Demodulators input 0
% 3.14/3.50 Passive input 0
% 3.14/3.50
% 3.14/3.50 Processed BS (before search) 12
% 3.14/3.50 Forward subsumed BS 2
% 3.14/3.50 Kept BS 10
% 3.14/3.50 New demodulators BS 7
% 3.14/3.50 Back demodulated BS 1
% 3.14/3.50
% 3.14/3.50 Clauses or pairs given 69364
% 3.14/3.50 Clauses generated 41589
% 3.14/3.50 Forward subsumed 32477
% 3.14/3.50 Deleted by weight 0
% 3.14/3.50 Deleted by variable count 0
% 3.14/3.50 Kept 9112
% 3.14/3.50 New demodulators 4859
% 3.14/3.50 Back demodulated 5404
% 3.14/3.50 Ordered paramod prunes 0
% 3.14/3.50 Basic paramod prunes 236916
% 3.14/3.50 Prime paramod prunes 3225
% 3.14/3.50 Semantic prunes 0
% 3.14/3.50
% 3.14/3.50 Rewrite attmepts 627423
% 3.14/3.50 Rewrites 95536
% 3.14/3.50
% 3.14/3.50 FPA overloads 0
% 3.14/3.50 FPA underloads 0
% 3.14/3.50
% 3.14/3.50 Usable size 0
% 3.14/3.50 Sos size 3716
% 3.14/3.50 Demodulators size 2015
% 3.14/3.50 Passive size 0
% 3.14/3.50 Disabled size 5405
% 3.14/3.50
% 3.14/3.50 Proofs found 1
% 3.14/3.50
% 3.14/3.50 ----------- times (seconds) ----------- Wed Jun 1 17:23:45 2022
% 3.14/3.50
% 3.14/3.50 user CPU time 1.80 (0 hr, 0 min, 1 sec)
% 3.14/3.50 system CPU time 0.63 (0 hr, 0 min, 0 sec)
% 3.14/3.50 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.14/3.50 input time 0.00
% 3.14/3.50 paramodulation time 0.14
% 3.14/3.50 demodulation time 0.23
% 3.14/3.50 orient time 0.08
% 3.14/3.50 weigh time 0.02
% 3.14/3.50 forward subsume time 0.06
% 3.14/3.50 back demod find time 0.51
% 3.14/3.50 conflict time 0.01
% 3.14/3.50 LRPO time 0.04
% 3.14/3.50 store clause time 0.40
% 3.14/3.50 disable clause time 0.18
% 3.14/3.50 prime paramod time 0.04
% 3.14/3.50 semantics time 0.00
% 3.14/3.50
% 3.14/3.50 EQP interrupted
%------------------------------------------------------------------------------