TSTP Solution File: RNG025-4 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : RNG025-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:25:32 EDT 2022
% Result : Unsatisfiable 3.43s 3.78s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 2 RR)
% Number of literals : 82 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 231 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(additive_identity,A),A),
file('RNG025-4.p',unknown),
[] ).
cnf(2,plain,
equal(add(A,additive_identity),A),
file('RNG025-4.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(additive_identity,A),additive_identity),
file('RNG025-4.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(A,additive_identity),additive_identity),
file('RNG025-4.p',unknown),
[] ).
cnf(5,plain,
equal(add(additive_inverse(A),A),additive_identity),
file('RNG025-4.p',unknown),
[] ).
cnf(6,plain,
equal(add(A,additive_inverse(A)),additive_identity),
file('RNG025-4.p',unknown),
[] ).
cnf(7,plain,
equal(additive_inverse(additive_inverse(A)),A),
file('RNG025-4.p',unknown),
[] ).
cnf(8,plain,
equal(multiply(A,add(B,C)),add(multiply(A,B),multiply(A,C))),
file('RNG025-4.p',unknown),
[] ).
cnf(9,plain,
equal(multiply(add(A,B),C),add(multiply(A,C),multiply(B,C))),
file('RNG025-4.p',unknown),
[] ).
cnf(10,plain,
equal(add(A,B),add(B,A)),
file('RNG025-4.p',unknown),
[] ).
cnf(11,plain,
equal(add(add(A,B),C),add(A,add(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(12,plain,
equal(multiply(multiply(A,B),B),multiply(A,multiply(B,B))),
file('RNG025-4.p',unknown),
[] ).
cnf(13,plain,
equal(multiply(multiply(A,A),B),multiply(A,multiply(A,B))),
file('RNG025-4.p',unknown),
[] ).
cnf(14,plain,
equal(add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))),associator(A,B,C)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(16,plain,
~ equal(add(associator(x,y,z),associator(x,z,y)),additive_identity),
file('RNG025-4.p',unknown),
[] ).
cnf(18,plain,
equal(add(multiply(A,additive_inverse(B)),multiply(A,B)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,8]),4]),1]),
[iquote('para(5,8),demod([4]),flip(1)')] ).
cnf(19,plain,
equal(add(multiply(A,B),multiply(A,additive_inverse(B))),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,8]),4]),1]),
[iquote('para(6,8),demod([4]),flip(1)')] ).
cnf(21,plain,
equal(add(multiply(A,B),multiply(additive_inverse(A),B)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,9]),3]),1]),
[iquote('para(6,9),demod([3]),flip(1)')] ).
cnf(24,plain,
equal(add(additive_inverse(A),add(A,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,11]),1]),1]),
[iquote('para(5,11),demod([1]),flip(1)')] ).
cnf(27,plain,
equal(add(additive_inverse(A),add(B,A)),B),
inference(para,[status(thm),theory(equality)],[10,24]),
[iquote('para(10,24)')] ).
cnf(29,plain,
equal(add(A,add(B,C)),add(C,add(A,B))),
inference(para,[status(thm),theory(equality)],[11,10]),
[iquote('para(11,10)')] ).
cnf(31,plain,
equal(add(A,add(B,C)),add(B,add(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,11]),11]),
[iquote('para(10,11),demod([11])')] ).
cnf(33,plain,
equal(add(additive_inverse(add(A,B)),B),additive_inverse(A)),
inference(para,[status(thm),theory(equality)],[24,27]),
[iquote('para(24,27)')] ).
cnf(46,plain,
equal(add(multiply(multiply(A,B),C),add(multiply(multiply(A,D),C),additive_inverse(add(multiply(A,multiply(B,C)),multiply(A,multiply(D,C)))))),associator(A,add(B,D),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,14]),9,9,8,11]),
[iquote('para(8,14),demod([9,9,8,11])')] ).
cnf(49,plain,
equal(add(multiply(multiply(A,B),C),add(multiply(multiply(D,B),C),additive_inverse(add(multiply(A,multiply(B,C)),multiply(D,multiply(B,C)))))),associator(add(A,D),B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,14]),9,9,11]),
[iquote('para(9,14),demod([9,9,11])')] ).
cnf(51,plain,
equal(add(multiply(multiply(A,B),C),add(additive_inverse(multiply(A,multiply(B,C))),D)),add(associator(A,B,C),D)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,11]),1]),
[iquote('para(14,11),flip(1)')] ).
cnf(57,plain,
equal(associator(A,A,B),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,14]),6]),1]),
[iquote('para(13,14),demod([6]),flip(1)')] ).
cnf(73,plain,
equal(add(multiply(A,multiply(B,additive_inverse(C))),multiply(A,multiply(B,C))),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,8]),4]),1]),
[iquote('para(18,8),demod([4]),flip(1)')] ).
cnf(80,plain,
equal(add(multiply(A,multiply(B,C)),multiply(A,multiply(B,additive_inverse(C)))),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,8]),4]),1]),
[iquote('para(19,8),demod([4]),flip(1)')] ).
cnf(94,plain,
equal(additive_inverse(add(A,B)),add(additive_inverse(B),additive_inverse(A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,27]),1]),
[iquote('para(33,27),flip(1)')] ).
cnf(99,plain,
equal(add(multiply(multiply(A,B),C),add(associator(D,B,C),additive_inverse(multiply(A,multiply(B,C))))),associator(add(A,D),B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[49]),94,51]),
[iquote('back_demod(49),demod([94,51])')] ).
cnf(101,plain,
equal(add(multiply(multiply(A,B),C),add(associator(A,D,C),additive_inverse(multiply(A,multiply(B,C))))),associator(A,add(B,D),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[46]),94,51]),
[iquote('back_demod(46),demod([94,51])')] ).
cnf(102,plain,
equal(add(multiply(A,multiply(B,C)),multiply(A,multiply(additive_inverse(B),C))),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,8]),4]),1]),
[iquote('para(21,8),demod([4]),flip(1)')] ).
cnf(104,plain,
equal(add(multiply(multiply(A,B),C),multiply(multiply(additive_inverse(A),B),C)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,9]),3]),1]),
[iquote('para(21,9),demod([3]),flip(1)')] ).
cnf(106,plain,
equal(add(multiply(A,B),add(multiply(additive_inverse(A),B),C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,11]),1]),1]),
[iquote('para(21,11),demod([1]),flip(1)')] ).
cnf(107,plain,
equal(add(multiply(A,multiply(B,B)),multiply(additive_inverse(multiply(A,B)),B)),additive_identity),
inference(para,[status(thm),theory(equality)],[12,21]),
[iquote('para(12,21)')] ).
cnf(119,plain,
equal(additive_inverse(multiply(A,additive_inverse(B))),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,24]),2]),
[iquote('para(18,24),demod([2])')] ).
cnf(120,plain,
equal(additive_inverse(multiply(A,B)),multiply(A,additive_inverse(B))),
inference(para,[status(thm),theory(equality)],[7,119]),
[iquote('para(7,119)')] ).
cnf(122,plain,
equal(add(multiply(A,multiply(B,B)),multiply(multiply(A,additive_inverse(B)),B)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[107]),120]),
[iquote('back_demod(107),demod([120])')] ).
cnf(123,plain,
equal(add(multiply(multiply(A,B),C),add(associator(A,D,C),multiply(A,multiply(B,additive_inverse(C))))),associator(A,add(B,D),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[101]),120,120]),
[iquote('back_demod(101),demod([120,120])')] ).
cnf(125,plain,
equal(add(multiply(multiply(A,B),C),add(associator(D,B,C),multiply(A,multiply(B,additive_inverse(C))))),associator(add(A,D),B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[99]),120,120]),
[iquote('back_demod(99),demod([120,120])')] ).
cnf(145,plain,
equal(add(multiply(multiply(A,B),C),add(multiply(A,multiply(B,additive_inverse(C))),D)),add(associator(A,B,C),D)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[51]),120,120]),
[iquote('back_demod(51),demod([120,120])')] ).
cnf(151,plain,
equal(add(multiply(multiply(A,B),C),multiply(A,multiply(B,additive_inverse(C)))),associator(A,B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[14]),120,120]),
[iquote('back_demod(14),demod([120,120])')] ).
cnf(166,plain,
equal(add(additive_inverse(A),add(B,add(C,A))),add(B,C)),
inference(para,[status(thm),theory(equality)],[11,27]),
[iquote('para(11,27)')] ).
cnf(177,plain,
equal(add(A,add(B,add(C,D))),add(B,add(C,add(A,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,11]),11,11,11]),
[iquote('para(29,11),demod([11,11,11])')] ).
cnf(205,plain,
equal(add(A,add(B,add(C,D))),add(B,add(D,add(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,29]),11]),
[iquote('para(31,29),demod([11])')] ).
cnf(206,plain,
equal(add(A,add(B,add(C,D))),add(C,add(A,add(D,B)))),
inference(flip,[status(thm),theory(equality)],[205]),
[iquote('flip(205)')] ).
cnf(431,plain,
equal(add(multiply(A,multiply(B,C)),add(D,multiply(A,multiply(B,additive_inverse(C))))),D),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,29]),2]),1]),
[iquote('para(73,29),demod([2]),flip(1)')] ).
cnf(462,plain,
equal(add(multiply(A,multiply(B,C)),add(multiply(A,multiply(B,additive_inverse(C))),D)),D),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[80,11]),1]),1]),
[iquote('para(80,11),demod([1]),flip(1)')] ).
cnf(562,plain,
equal(add(multiply(multiply(A,B),C),add(multiply(multiply(additive_inverse(A),B),C),D)),D),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[104,11]),1]),1]),
[iquote('para(104,11),demod([1]),flip(1)')] ).
cnf(572,plain,
equal(add(multiply(A,B),add(C,add(multiply(additive_inverse(A),B),D))),add(C,D)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[106,31]),1]),
[iquote('para(106,31),flip(1)')] ).
cnf(916,plain,
equal(add(multiply(A,multiply(B,B)),add(multiply(A,multiply(B,C)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(C,C)),add(multiply(multiply(A,additive_inverse(C)),B),add(multiply(multiply(A,additive_inverse(B)),B),add(multiply(multiply(A,additive_inverse(C)),C),multiply(multiply(A,additive_inverse(B)),C)))))))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,122]),8,8,11,8,8,8,94,8,8,9,9,11,11,11,11]),
[iquote('para(9,122),demod([8,8,11,8,8,8,94,8,8,9,9,11,11,11,11])')] ).
cnf(922,plain,
equal(multiply(multiply(A,additive_inverse(B)),B),multiply(A,multiply(B,additive_inverse(B)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[122,24]),120,120,2]),1]),
[iquote('para(122,24),demod([120,120,2]),flip(1)')] ).
cnf(923,plain,
equal(add(multiply(A,multiply(B,B)),add(multiply(A,multiply(B,C)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(C,C)),add(multiply(multiply(A,additive_inverse(C)),B),add(multiply(A,multiply(B,additive_inverse(B))),add(multiply(A,multiply(C,additive_inverse(C))),multiply(multiply(A,additive_inverse(B)),C)))))))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[916]),922,922]),
[iquote('back_demod(916),demod([922,922])')] ).
cnf(943,plain,
equal(associator(A,add(A,B),C),associator(A,B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,123]),431]),1]),
[iquote('para(13,123),demod([431]),flip(1)')] ).
cnf(967,plain,
equal(associator(A,add(B,A),C),associator(A,B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[57,123]),1,151]),1]),
[iquote('para(57,123),demod([1,151]),flip(1)')] ).
cnf(1035,plain,
equal(associator(add(A,B),A,C),associator(B,A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,125]),431]),1]),
[iquote('para(13,125),demod([431]),flip(1)')] ).
cnf(1716,plain,
equal(multiply(multiply(A,B),C),add(multiply(A,multiply(B,C)),associator(A,B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[145,27]),94,120,120,7,11,166]),1]),
[iquote('para(145,27),demod([94,120,120,7,11,166]),flip(1)')] ).
cnf(2000,plain,
equal(add(multiply(A,multiply(B,B)),add(multiply(A,multiply(B,C)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(C,C)),add(multiply(A,multiply(additive_inverse(C),B)),add(associator(A,additive_inverse(C),B),add(multiply(A,multiply(B,additive_inverse(B))),add(multiply(A,multiply(C,additive_inverse(C))),add(multiply(A,multiply(additive_inverse(B),C)),associator(A,additive_inverse(B),C)))))))))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[923]),1716,1716,11]),
[iquote('back_demod(923),demod([1716,1716,11])')] ).
cnf(2034,plain,
equal(add(associator(A,B,C),add(associator(additive_inverse(A),B,C),D)),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[562]),1716,1716,11,11,572]),
[iquote('back_demod(562),demod([1716,1716,11,11,572])')] ).
cnf(2248,plain,
equal(additive_inverse(associator(additive_inverse(A),B,C)),associator(A,B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,2034]),2]),1]),
[iquote('para(6,2034),demod([2]),flip(1)')] ).
cnf(2249,plain,
equal(additive_inverse(associator(A,B,C)),associator(additive_inverse(A),B,C)),
inference(para,[status(thm),theory(equality)],[2248,7]),
[iquote('para(2248,7)')] ).
cnf(5002,plain,
equal(add(multiply(A,multiply(B,C)),add(D,add(multiply(A,multiply(additive_inverse(B),C)),E))),add(D,E)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[102,206]),2]),1]),
[iquote('para(102,206),demod([2]),flip(1)')] ).
cnf(5005,plain,
equal(add(multiply(A,multiply(B,B)),add(multiply(A,multiply(B,C)),add(multiply(A,multiply(C,C)),add(associator(A,additive_inverse(C),B),add(multiply(A,multiply(B,additive_inverse(B))),add(multiply(A,multiply(C,additive_inverse(C))),add(multiply(A,multiply(additive_inverse(B),C)),associator(A,additive_inverse(B),C)))))))),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2000]),5002]),
[iquote('back_demod(2000),demod([5002])')] ).
cnf(7706,plain,
equal(associator(additive_inverse(A),add(A,B),C),associator(additive_inverse(A),B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[943,2249]),2249]),1]),
[iquote('para(943,2249),demod([2249]),flip(1)')] ).
cnf(7833,plain,
equal(associator(add(additive_inverse(A),additive_inverse(B)),B,C),associator(additive_inverse(A),B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1035,2249]),2249,94]),1]),
[iquote('para(1035,2249),demod([2249,94]),flip(1)')] ).
cnf(7850,plain,
equal(associator(add(A,additive_inverse(B)),B,C),associator(A,B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,7833]),7]),
[iquote('para(7,7833),demod([7])')] ).
cnf(7852,plain,
equal(associator(add(A,B),additive_inverse(B),C),associator(A,additive_inverse(B),C)),
inference(para,[status(thm),theory(equality)],[7,7850]),
[iquote('para(7,7850)')] ).
cnf(8529,plain,
equal(associator(A,add(additive_inverse(A),additive_inverse(B)),C),associator(additive_inverse(B),additive_inverse(A),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,7852]),94,94,967]),
[iquote('para(24,7852),demod([94,94,967])')] ).
cnf(8531,plain,
equal(associator(additive_inverse(A),additive_inverse(B),C),associator(additive_inverse(B),A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,8529]),7706,7]),
[iquote('para(7,8529),demod([7706,7])')] ).
cnf(8537,plain,
equal(associator(additive_inverse(A),B,C),associator(B,A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,8531]),7]),
[iquote('para(7,8531),demod([7])')] ).
cnf(8538,plain,
equal(associator(A,B,C),associator(additive_inverse(B),A,C)),
inference(flip,[status(thm),theory(equality)],[8537]),
[iquote('flip(8537)')] ).
cnf(8948,plain,
equal(associator(additive_inverse(A),additive_inverse(B),C),associator(A,B,C)),
inference(para,[status(thm),theory(equality)],[8538,8537]),
[iquote('para(8538,8537)')] ).
cnf(9873,plain,
equal(add(multiply(A,multiply(B,C)),add(D,add(E,add(multiply(A,multiply(B,additive_inverse(C))),F)))),add(D,add(E,F))),
inference(para,[status(thm),theory(equality)],[177,462]),
[iquote('para(177,462)')] ).
cnf(9874,plain,
equal(add(associator(A,additive_inverse(B),C),associator(A,additive_inverse(C),B)),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5005]),9873,9873,5002]),
[iquote('back_demod(5005),demod([9873,9873,5002])')] ).
cnf(10823,plain,
equal(associator(A,B,C),associator(A,additive_inverse(C),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9874,24]),2249,8948,2]),
[iquote('para(9874,24),demod([2249,8948,2])')] ).
cnf(11648,plain,
equal(associator(A,B,C),associator(C,A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10823,8537]),8948]),
[iquote('para(10823,8537),demod([8948])')] ).
cnf(11649,plain,
equal(associator(A,B,C),associator(B,C,A)),
inference(flip,[status(thm),theory(equality)],[11648]),
[iquote('flip(11648)')] ).
cnf(11667,plain,
equal(associator(additive_inverse(A),B,C),associator(A,C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11649,8538]),1]),
[iquote('para(11649,8538),flip(1)')] ).
cnf(11877,plain,
equal(additive_inverse(associator(A,B,C)),associator(A,C,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2249]),11667]),
[iquote('back_demod(2249),demod([11667])')] ).
cnf(11893,plain,
equal(add(associator(A,B,C),associator(A,C,B)),additive_identity),
inference(para,[status(thm),theory(equality)],[11877,5]),
[iquote('para(11877,5)')] ).
cnf(11894,plain,
$false,
inference(conflict,[status(thm)],[11893,16]),
[iquote('conflict(11893,16)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG025-4 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon May 30 20:17:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 3.43/3.78 ----- EQP 0.9e, May 2009 -----
% 3.43/3.78 The job began on n017.cluster.edu, Mon May 30 20:17:41 2022
% 3.43/3.78 The command was "./eqp09e".
% 3.43/3.78
% 3.43/3.78 set(prolog_style_variables).
% 3.43/3.78 set(lrpo).
% 3.43/3.78 set(basic_paramod).
% 3.43/3.78 set(functional_subsume).
% 3.43/3.78 set(ordered_paramod).
% 3.43/3.78 set(prime_paramod).
% 3.43/3.78 set(para_pairs).
% 3.43/3.78 assign(pick_given_ratio,4).
% 3.43/3.78 clear(print_kept).
% 3.43/3.78 clear(print_new_demod).
% 3.43/3.78 clear(print_back_demod).
% 3.43/3.78 clear(print_given).
% 3.43/3.78 assign(max_mem,64000).
% 3.43/3.78 end_of_commands.
% 3.43/3.78
% 3.43/3.78 Usable:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Sos:
% 3.43/3.78 0 (wt=-1) [] add(additive_identity,A) = A.
% 3.43/3.78 0 (wt=-1) [] add(A,additive_identity) = A.
% 3.43/3.78 0 (wt=-1) [] multiply(additive_identity,A) = additive_identity.
% 3.43/3.78 0 (wt=-1) [] multiply(A,additive_identity) = additive_identity.
% 3.43/3.78 0 (wt=-1) [] add(additive_inverse(A),A) = additive_identity.
% 3.43/3.78 0 (wt=-1) [] add(A,additive_inverse(A)) = additive_identity.
% 3.43/3.78 0 (wt=-1) [] additive_inverse(additive_inverse(A)) = A.
% 3.43/3.78 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 0 (wt=-1) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 0 (wt=-1) [] add(A,B) = add(B,A).
% 3.43/3.78 0 (wt=-1) [] add(A,add(B,C)) = add(add(A,B),C).
% 3.43/3.78 0 (wt=-1) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 3.43/3.78 0 (wt=-1) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 3.43/3.78 0 (wt=-1) [] associator(A,B,C) = add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))).
% 3.43/3.78 0 (wt=-1) [] commutator(A,B) = add(multiply(B,A),additive_inverse(multiply(A,B))).
% 3.43/3.78 0 (wt=-1) [] -(add(associator(x,y,z),associator(x,z,y)) = additive_identity).
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Demodulators:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Passive:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Starting to process input.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 1 (wt=5) [] add(additive_identity,A) = A.
% 3.43/3.78 1 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 2 (wt=5) [] add(A,additive_identity) = A.
% 3.43/3.78 2 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 3 (wt=5) [] multiply(additive_identity,A) = additive_identity.
% 3.43/3.78 3 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 4 (wt=5) [] multiply(A,additive_identity) = additive_identity.
% 3.43/3.78 4 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 5 (wt=6) [] add(additive_inverse(A),A) = additive_identity.
% 3.43/3.78 5 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 6 (wt=6) [] add(A,additive_inverse(A)) = additive_identity.
% 3.43/3.78 6 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 7 (wt=5) [] additive_inverse(additive_inverse(A)) = A.
% 3.43/3.78 7 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 8 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 9 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 9 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 10 (wt=7) [] add(A,B) = add(B,A).
% 3.43/3.78 clause forward subsumed: 0 (wt=7) [flip(10)] add(B,A) = add(A,B).
% 3.43/3.78
% 3.43/3.78 ** KEPT: 11 (wt=11) [flip(1)] add(add(A,B),C) = add(A,add(B,C)).
% 3.43/3.78 11 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 12 (wt=11) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 3.43/3.78 12 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 13 (wt=11) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 3.43/3.78 13 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 14 (wt=17) [flip(1)] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))) = associator(A,B,C).
% 3.43/3.78 14 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 15 (wt=12) [flip(1)] add(multiply(A,B),additive_inverse(multiply(B,A))) = commutator(B,A).
% 3.43/3.78 15 is a new demodulator.
% 3.43/3.78
% 3.43/3.78 ** KEPT: 16 (wt=11) [] -(add(associator(x,y,z),associator(x,z,y)) = additive_identity).
% 3.43/3.78 ---------------- PROOF FOUND ----------------
% 3.43/3.78 % SZS status Unsatisfiable
% 3.43/3.78
% 3.43/3.78
% 3.43/3.78 After processing input:
% 3.43/3.78
% 3.43/3.78 Usable:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Sos:
% 3.43/3.78 1 (wt=5) [] add(additive_identity,A) = A.
% 3.43/3.78 2 (wt=5) [] add(A,additive_identity) = A.
% 3.43/3.78 3 (wt=5) [] multiply(additive_identity,A) = additive_identity.
% 3.43/3.78 4 (wt=5) [] multiply(A,additive_identity) = additive_identity.
% 3.43/3.78 7 (wt=5) [] additive_inverse(additive_inverse(A)) = A.
% 3.43/3.78 5 (wt=6) [] add(additive_inverse(A),A) = additive_identity.
% 3.43/3.78 6 (wt=6) [] add(A,additive_inverse(A)) = additive_identity.
% 3.43/3.78 10 (wt=7) [] add(A,B) = add(B,A).
% 3.43/3.78 11 (wt=11) [flip(1)] add(add(A,B),C) = add(A,add(B,C)).
% 3.43/3.78 12 (wt=11) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 3.43/3.78 13 (wt=11) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 3.43/3.78 16 (wt=11) [] -(add(associator(x,y,z),associator(x,z,y)) = additive_identity).
% 3.43/3.78 15 (wt=12) [flip(1)] add(multiply(A,B),additive_inverse(multiply(B,A))) = commutator(B,A).
% 3.43/3.78 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 9 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 14 (wt=17) [flip(1)] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))) = associator(A,B,C).
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Demodulators:
% 3.43/3.78 1 (wt=5) [] add(additive_identity,A) = A.
% 3.43/3.78 2 (wt=5) [] add(A,additive_identity) = A.
% 3.43/3.78 3 (wt=5) [] multiply(additive_identity,A) = additive_identity.
% 3.43/3.78 4 (wt=5) [] multiply(A,additive_identity) = additive_identity.
% 3.43/3.78 5 (wt=6) [] add(additive_inverse(A),A) = additive_identity.
% 3.43/3.78 6 (wt=6) [] add(A,additive_inverse(A)) = additive_identity.
% 3.43/3.78 7 (wt=5) [] additive_inverse(additive_inverse(A)) = A.
% 3.43/3.78 8 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 3.43/3.78 9 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 3.43/3.78 11 (wt=11) [flip(1)] add(add(A,B),C) = add(A,add(B,C)).
% 3.43/3.78 12 (wt=11) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 3.43/3.78 13 (wt=11) [] multiply(multiply(A,A),B) = multiply(A,multiply(A,B)).
% 3.43/3.78 14 (wt=17) [flip(1)] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))) = associator(A,B,C).
% 3.43/3.78 15 (wt=12) [flip(1)] add(multiply(A,B),additive_inverse(multiply(B,A))) = commutator(B,A).
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 Passive:
% 3.43/3.78 end_of_list.
% 3.43/3.78
% 3.43/3.78 UNIT CONFLICT from 11893 and 16 at 2.04 seconds.
% 3.43/3.78
% 3.43/3.78 ---------------- PROOF ----------------
% 3.43/3.78 % SZS output start Refutation
% See solution above
% 3.43/3.78 ------------ end of proof -------------
% 3.43/3.78
% 3.43/3.78
% 3.43/3.78 ------------- memory usage ------------
% 3.43/3.78 Memory dynamically allocated (tp_alloc): 34667.
% 3.43/3.78 type (bytes each) gets frees in use avail bytes
% 3.43/3.78 sym_ent ( 96) 60 0 60 0 5.6 K
% 3.43/3.78 term ( 16) 2605301 2114542 490759 74 9540.1 K
% 3.43/3.78 gen_ptr ( 8) 2937259 335514 2601745 81 20326.8 K
% 3.43/3.78 context ( 808) 1416670 1416668 2 60 48.9 K
% 3.43/3.78 trail ( 12) 94046 94046 0 6 0.1 K
% 3.43/3.78 bt_node ( 68) 523351 523349 2 22 1.6 K
% 3.43/3.78 ac_position (285432) 0 0 0 0 0.0 K
% 3.43/3.78 ac_match_pos (14044) 0 0 0 0 0.0 K
% 3.43/3.78 ac_match_free_vars_pos (4020)
% 3.43/3.78 0 0 0 0 0.0 K
% 3.43/3.78 discrim ( 12) 335721 120283 215438 5718 2591.7 K
% 3.43/3.78 flat ( 40) 4738896 4738896 0 399 15.6 K
% 3.43/3.78 discrim_pos ( 12) 87265 87265 0 1 0.0 K
% 3.43/3.78 fpa_head ( 12) 16148 0 16148 0 189.2 K
% 3.43/3.78 fpa_tree ( 28) 29488 29488 0 71 1.9 K
% 3.43/3.78 fpa_pos ( 36) 15625 15625 0 1 0.0 K
% 3.43/3.78 literal ( 12) 64367 52474 11893 1 139.4 K
% 3.43/3.78 clause ( 24) 64367 52474 11893 1 278.8 K
% 3.43/3.78 list ( 12) 3791 3735 56 3 0.7 K
% 3.43/3.78 list_pos ( 20) 43810 10314 33496 376 661.6 K
% 3.43/3.78 pair_index ( 40) 2 0 2 0 0.1 K
% 3.43/3.78
% 3.43/3.78 -------------- statistics -------------
% 3.43/3.78 Clauses input 16
% 3.43/3.78 Usable input 0
% 3.43/3.78 Sos input 16
% 3.43/3.78 Demodulators input 0
% 3.43/3.78 Passive input 0
% 3.43/3.78
% 3.43/3.78 Processed BS (before search) 17
% 3.43/3.78 Forward subsumed BS 1
% 3.43/3.78 Kept BS 16
% 3.43/3.78 New demodulators BS 14
% 3.43/3.78 Back demodulated BS 0
% 3.43/3.78
% 3.43/3.78 Clauses or pairs given 90817
% 3.43/3.78 Clauses generated 36655
% 3.43/3.78 Forward subsumed 24778
% 3.43/3.78 Deleted by weight 0
% 3.43/3.78 Deleted by variable count 0
% 3.43/3.78 Kept 11877
% 3.43/3.78 New demodulators 3718
% 3.43/3.78 Back demodulated 2166
% 3.43/3.78 Ordered paramod prunes 0
% 3.43/3.78 Basic paramod prunes 285245
% 3.43/3.78 Prime paramod prunes 4057
% 3.43/3.78 Semantic prunes 0
% 3.43/3.78
% 3.43/3.78 Rewrite attmepts 680449
% 3.43/3.78 Rewrites 72804
% 3.43/3.78
% 3.43/3.78 FPA overloads 0
% 3.43/3.78 FPA underloads 0
% 3.43/3.78
% 3.43/3.78 Usable size 0
% 3.43/3.78 Sos size 9726
% 3.43/3.78 Demodulators size 2152
% 3.43/3.78 Passive size 0
% 3.43/3.78 Disabled size 2166
% 3.43/3.78
% 3.43/3.78 Proofs found 1
% 3.43/3.78
% 3.43/3.78 ----------- times (seconds) ----------- Mon May 30 20:17:43 2022
% 3.43/3.78
% 3.43/3.78 user CPU time 2.04 (0 hr, 0 min, 2 sec)
% 3.43/3.78 system CPU time 0.61 (0 hr, 0 min, 0 sec)
% 3.43/3.78 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 3.43/3.78 input time 0.00
% 3.43/3.78 paramodulation time 0.19
% 3.43/3.78 demodulation time 0.21
% 3.43/3.78 orient time 0.09
% 3.43/3.78 weigh time 0.03
% 3.43/3.78 forward subsume time 0.11
% 3.43/3.78 back demod find time 0.23
% 3.43/3.78 conflict time 0.01
% 3.43/3.78 LRPO time 0.04
% 3.43/3.78 store clause time 0.80
% 3.43/3.78 disable clause time 0.14
% 3.43/3.78 prime paramod time 0.04
% 3.43/3.78 semantics time 0.00
% 3.43/3.78
% 3.43/3.78 EQP interrupted
%------------------------------------------------------------------------------