TSTP Solution File: BOO015-10 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO015-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n028.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 23:37:07 EDT 2022
% Result : Unsatisfiable 10.34s 10.74s
% Output : Refutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 24
% Syntax : Number of clauses : 133 ( 133 unt; 0 nHn; 43 RR)
% Number of literals : 133 ( 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 : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 241 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(ifeq2(A,A,B,C),B),
file('BOO015-10.p',unknown),
[] ).
cnf(2,plain,
equal(ifeq(A,A,B,C),B),
file('BOO015-10.p',unknown),
[] ).
cnf(3,plain,
equal(sum(A,B,add(A,B)),true),
file('BOO015-10.p',unknown),
[] ).
cnf(4,plain,
equal(product(A,B,multiply(A,B)),true),
file('BOO015-10.p',unknown),
[] ).
cnf(5,plain,
equal(ifeq(sum(A,B,C),true,sum(B,A,C),true),true),
file('BOO015-10.p',unknown),
[] ).
cnf(6,plain,
equal(ifeq(product(A,B,C),true,product(B,A,C),true),true),
file('BOO015-10.p',unknown),
[] ).
cnf(7,plain,
equal(sum(additive_identity,A,A),true),
file('BOO015-10.p',unknown),
[] ).
cnf(8,plain,
equal(sum(A,additive_identity,A),true),
file('BOO015-10.p',unknown),
[] ).
cnf(9,plain,
equal(product(multiplicative_identity,A,A),true),
file('BOO015-10.p',unknown),
[] ).
cnf(10,plain,
equal(product(A,multiplicative_identity,A),true),
file('BOO015-10.p',unknown),
[] ).
cnf(11,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true),true),
file('BOO015-10.p',unknown),
[] ).
cnf(12,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true),true),
file('BOO015-10.p',unknown),
[] ).
cnf(13,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true),true),
file('BOO015-10.p',unknown),
[] ).
cnf(14,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true),true),
file('BOO015-10.p',unknown),
[] ).
cnf(17,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true),true),
file('BOO015-10.p',unknown),
[] ).
cnf(19,plain,
equal(sum(inverse(A),A,multiplicative_identity),true),
file('BOO015-10.p',unknown),
[] ).
cnf(20,plain,
equal(sum(A,inverse(A),multiplicative_identity),true),
file('BOO015-10.p',unknown),
[] ).
cnf(21,plain,
equal(product(inverse(A),A,additive_identity),true),
file('BOO015-10.p',unknown),
[] ).
cnf(22,plain,
equal(product(A,inverse(A),additive_identity),true),
file('BOO015-10.p',unknown),
[] ).
cnf(23,plain,
equal(ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C),C),
file('BOO015-10.p',unknown),
[] ).
cnf(24,plain,
equal(ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C),C),
file('BOO015-10.p',unknown),
[] ).
cnf(25,plain,
equal(product(x,y,x_times_y),true),
file('BOO015-10.p',unknown),
[] ).
cnf(26,plain,
equal(sum(inverse(x),inverse(y),x_inverse_plus_y_inverse),true),
file('BOO015-10.p',unknown),
[] ).
cnf(27,plain,
~ equal(inverse(x_times_y),x_inverse_plus_y_inverse),
file('BOO015-10.p',unknown),
[] ).
cnf(28,plain,
equal(sum(A,B,add(B,A)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),2]),
[iquote('para(3,5),demod([2])')] ).
cnf(29,plain,
equal(product(A,B,multiply(B,A)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,6]),2]),
[iquote('para(4,6),demod([2])')] ).
cnf(32,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(D,B,F),true,sum(E,C,multiply(A,F)),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,11]),2]),
[iquote('para(4,11),demod([2])')] ).
cnf(33,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(D,F,B),true,sum(E,multiply(A,F),C),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,11]),2]),
[iquote('para(4,11),demod([2])')] ).
cnf(34,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(F,D,B),true,sum(multiply(A,F),E,C),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,11]),2]),
[iquote('para(4,11),demod([2])')] ).
cnf(38,plain,
equal(product(y,x,x_times_y),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,6]),2]),
[iquote('para(25,6),demod([2])')] ).
cnf(44,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(D,B,multiplicative_identity),true,sum(E,C,A),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,11]),2]),
[iquote('para(10,11),demod([2])')] ).
cnf(48,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,product(A,add(D,B),F),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,12]),2]),
[iquote('para(3,12),demod([2])')] ).
cnf(49,plain,
equal(sum(inverse(y),inverse(x),x_inverse_plus_y_inverse),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,5]),2]),
[iquote('para(26,5),demod([2])')] ).
cnf(53,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,additive_identity),true,ifeq(sum(D,B,E),true,product(A,E,C),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,12]),2]),
[iquote('para(7,12),demod([2])')] ).
cnf(63,plain,
equal(ifeq2(sum(additive_identity,A,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,23]),1]),
[iquote('para(7,23),demod([1])')] ).
cnf(76,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(D,A,multiplicative_identity),true,sum(E,C,B),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,13]),2]),
[iquote('para(9,13),demod([2])')] ).
cnf(85,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(C,multiply(D,B),E),true,ifeq(sum(A,D,F),true,product(F,B,E),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,14]),2]),
[iquote('para(4,14),demod([2])')] ).
cnf(102,plain,
equal(ifeq2(sum(A,additive_identity,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,23]),1]),
[iquote('para(8,23),demod([1])')] ).
cnf(121,plain,
equal(ifeq2(product(multiplicative_identity,A,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,24]),1]),
[iquote('para(9,24),demod([1])')] ).
cnf(141,plain,
equal(ifeq(product(A,B,additive_identity),true,ifeq(sum(B,C,D),true,ifeq(sum(A,C,E),true,product(E,D,C),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,17]),2]),
[iquote('para(7,17),demod([2])')] ).
cnf(151,plain,
equal(multiply(A,multiplicative_identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,121]),1]),
[iquote('para(29,121),demod([1])')] ).
cnf(168,plain,
equal(ifeq2(product(A,multiplicative_identity,B),true,B,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,24]),1]),
[iquote('para(10,24),demod([1])')] ).
cnf(196,plain,
equal(ifeq2(product(x,y,A),true,A,x_times_y),x_times_y),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,24]),1]),
[iquote('para(25,24),demod([1])')] ).
cnf(226,plain,
equal(multiply(x,y),x_times_y),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,196]),1]),
[iquote('para(4,196),demod([1])')] ).
cnf(255,plain,
equal(ifeq2(sum(A,B,C),true,add(A,B),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,23]),1]),
[iquote('para(3,23),demod([1])')] ).
cnf(261,plain,
equal(ifeq2(product(A,B,C),true,multiply(A,B),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,24]),1]),
[iquote('para(4,24),demod([1])')] ).
cnf(265,plain,
equal(ifeq2(product(A,inverse(A),B),true,B,additive_identity),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,24]),1]),
[iquote('para(22,24),demod([1])')] ).
cnf(404,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(B,D,E),true,sum(C,multiply(A,D),multiply(A,E)),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,32]),2]),
[iquote('para(4,32),demod([2])')] ).
cnf(414,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,inverse(B),D),true,sum(D,C,A),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,32]),151,2]),
[iquote('para(19,32),demod([151,2])')] ).
cnf(433,plain,
equal(add(inverse(x),inverse(y)),x_inverse_plus_y_inverse),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,255]),1]),
[iquote('para(26,255),demod([1])')] ).
cnf(439,plain,
equal(ifeq(product(inverse(A),B,C),true,ifeq(sum(B,D,A),true,sum(C,multiply(inverse(A),D),additive_identity),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,33]),2]),
[iquote('para(21,33),demod([2])')] ).
cnf(459,plain,
equal(ifeq(product(A,multiplicative_identity,B),true,ifeq(product(A,inverse(C),D),true,sum(multiply(A,C),D,B),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,34]),2]),
[iquote('para(20,34),demod([2])')] ).
cnf(461,plain,
equal(ifeq(product(inverse(A),B,C),true,ifeq(sum(D,B,A),true,sum(multiply(inverse(A),D),C,additive_identity),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,34]),2]),
[iquote('para(21,34),demod([2])')] ).
cnf(472,plain,
equal(multiply(A,B),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,261]),1]),
[iquote('para(29,261),demod([1])')] ).
cnf(616,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(multiplicative_identity,B,multiplicative_identity),true,sum(A,C,A),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,44]),2]),
[iquote('para(10,44),demod([2])')] ).
cnf(696,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(C,multiply(A,D),E),true,product(A,add(B,D),E),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,48]),2]),
[iquote('para(4,48),demod([2])')] ).
cnf(850,plain,
equal(ifeq(product(A,additive_identity,B),true,ifeq(product(A,C,additive_identity),true,product(A,C,B),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,53]),2]),
[iquote('para(8,53),demod([2])')] ).
cnf(1240,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(A,multiplicative_identity,multiplicative_identity),true,sum(C,B,B),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,76]),2]),
[iquote('para(9,76),demod([2])')] ).
cnf(1387,plain,
equal(ifeq(product(A,B,additive_identity),true,ifeq(sum(A,C,D),true,product(D,B,multiply(C,B)),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,85]),2]),
[iquote('para(7,85),demod([2])')] ).
cnf(2384,plain,
equal(ifeq(product(A,additive_identity,additive_identity),true,ifeq(sum(A,B,C),true,product(C,B,B),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,141]),2]),
[iquote('para(7,141),demod([2])')] ).
cnf(2489,plain,
equal(ifeq(sum(multiplicative_identity,y,multiplicative_identity),true,sum(x,x_times_y,x),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,616]),2]),
[iquote('para(25,616),demod([2])')] ).
cnf(2497,plain,
equal(ifeq(sum(multiplicative_identity,x,multiplicative_identity),true,sum(y,x_times_y,y),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,616]),2]),
[iquote('para(38,616),demod([2])')] ).
cnf(4041,plain,
equal(ifeq(product(A,additive_identity,B),true,product(A,inverse(A),B),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,850]),2]),
[iquote('para(22,850),demod([2])')] ).
cnf(4042,plain,
equal(product(A,inverse(A),multiply(A,additive_identity)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,4041]),2]),
[iquote('para(4,4041),demod([2])')] ).
cnf(4044,plain,
equal(multiply(A,additive_identity),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4042,265]),1]),
[iquote('para(4042,265),demod([1])')] ).
cnf(4054,plain,
equal(product(A,additive_identity,additive_identity),true),
inference(para,[status(thm),theory(equality)],[4044,4]),
[iquote('para(4044,4)')] ).
cnf(4055,plain,
equal(ifeq(sum(A,B,C),true,product(C,B,B),true),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2384]),4054,2]),
[iquote('back_demod(2384),demod([4054,2])')] ).
cnf(4067,plain,
equal(product(add(A,B),B,B),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,4055]),2]),
[iquote('para(3,4055),demod([2])')] ).
cnf(4077,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)],[4067,168]),1]),1]),
[iquote('para(4067,168),demod([1]),flip(1)')] ).
cnf(4087,plain,
equal(sum(A,multiplicative_identity,multiplicative_identity),true),
inference(para,[status(thm),theory(equality)],[4077,3]),
[iquote('para(4077,3)')] ).
cnf(4090,plain,
equal(ifeq(product(A,B,C),true,sum(C,B,B),true),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1240]),4087,2]),
[iquote('back_demod(1240),demod([4087,2])')] ).
cnf(4092,plain,
equal(sum(multiplicative_identity,A,multiplicative_identity),true),
inference(para,[status(thm),theory(equality)],[4077,28]),
[iquote('para(4077,28)')] ).
cnf(4093,plain,
equal(sum(y,x_times_y,y),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2497]),4092,2]),
[iquote('back_demod(2497),demod([4092,2])')] ).
cnf(4094,plain,
equal(sum(x,x_times_y,x),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2489]),4092,2]),
[iquote('back_demod(2489),demod([4092,2])')] ).
cnf(4165,plain,
equal(multiply(add(A,B),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4067,261]),1]),
[iquote('para(4067,261),demod([1])')] ).
cnf(4166,plain,
equal(multiply(x_inverse_plus_y_inverse,inverse(y)),inverse(y)),
inference(para,[status(thm),theory(equality)],[433,4165]),
[iquote('para(433,4165)')] ).
cnf(4170,plain,
equal(multiply(inverse(y),x_inverse_plus_y_inverse),inverse(y)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4166,472]),1]),
[iquote('para(4166,472),flip(1)')] ).
cnf(4226,plain,
equal(sum(multiply(A,B),B,B),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,4090]),2]),
[iquote('para(4,4090),demod([2])')] ).
cnf(4229,plain,
equal(sum(inverse(y),x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),true),
inference(para,[status(thm),theory(equality)],[4170,4226]),
[iquote('para(4170,4226)')] ).
cnf(4236,plain,
equal(add(inverse(y),x_inverse_plus_y_inverse),x_inverse_plus_y_inverse),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4229,255]),1]),
[iquote('para(4229,255),demod([1])')] ).
cnf(4238,plain,
equal(sum(x_inverse_plus_y_inverse,inverse(y),x_inverse_plus_y_inverse),true),
inference(para,[status(thm),theory(equality)],[4236,28]),
[iquote('para(4236,28)')] ).
cnf(4255,plain,
equal(add(multiply(A,B),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4226,255]),1]),
[iquote('para(4226,255),demod([1])')] ).
cnf(4263,plain,
equal(sum(A,multiply(B,A),A),true),
inference(para,[status(thm),theory(equality)],[4255,28]),
[iquote('para(4255,28)')] ).
cnf(4558,plain,
equal(ifeq(product(A,inverse(B),C),true,sum(C,multiply(A,B),A),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,404]),151,2]),
[iquote('para(19,404),demod([151,2])')] ).
cnf(4562,plain,
equal(ifeq(sum(y,A,B),true,sum(x_times_y,multiply(x,A),multiply(x,B)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,404]),2]),
[iquote('para(25,404),demod([2])')] ).
cnf(4645,plain,
equal(ifeq(product(A,inverse(inverse(A)),B),true,sum(B,additive_identity,A),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,414]),2]),
[iquote('para(22,414),demod([2])')] ).
cnf(4896,plain,
equal(ifeq(sum(y,A,y),true,sum(x_times_y,multiply(x,A),x_times_y),true),true),
inference(para,[status(thm),theory(equality)],[226,4562]),
[iquote('para(226,4562)')] ).
cnf(4937,plain,
equal(ifeq(sum(A,B,A),true,sum(additive_identity,multiply(inverse(A),B),additive_identity),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,439]),2]),
[iquote('para(21,439),demod([2])')] ).
cnf(4953,plain,
equal(sum(additive_identity,multiply(inverse(y),x_times_y),additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4093,4937]),2]),
[iquote('para(4093,4937),demod([2])')] ).
cnf(4959,plain,
equal(multiply(inverse(y),x_times_y),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4953,63]),1]),1]),
[iquote('para(4953,63),demod([1]),flip(1)')] ).
cnf(4961,plain,
equal(multiply(x_times_y,inverse(y)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4959,472]),1]),
[iquote('para(4959,472),flip(1)')] ).
cnf(5005,plain,
equal(sum(additive_identity,multiply(inverse(x),x_times_y),additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4094,4937]),2]),
[iquote('para(4094,4937),demod([2])')] ).
cnf(5007,plain,
equal(multiply(inverse(x),x_times_y),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5005,63]),1]),1]),
[iquote('para(5005,63),demod([1]),flip(1)')] ).
cnf(5010,plain,
equal(product(x_times_y,inverse(x),additive_identity),true),
inference(para,[status(thm),theory(equality)],[5007,29]),
[iquote('para(5007,29)')] ).
cnf(5138,plain,
equal(ifeq(product(inverse(inverse(A)),multiplicative_identity,B),true,sum(multiply(inverse(inverse(A)),A),additive_identity,B),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,459]),2]),
[iquote('para(21,459),demod([2])')] ).
cnf(5156,plain,
equal(ifeq(sum(A,B,B),true,sum(multiply(inverse(B),A),additive_identity,additive_identity),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,461]),2]),
[iquote('para(21,461),demod([2])')] ).
cnf(5163,plain,
equal(ifeq(product(inverse(x_inverse_plus_y_inverse),inverse(x),A),true,sum(multiply(inverse(x_inverse_plus_y_inverse),inverse(y)),A,additive_identity),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[49,461]),2]),
[iquote('para(49,461),demod([2])')] ).
cnf(5491,plain,
equal(sum(multiply(A,inverse(inverse(A))),additive_identity,A),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,4645]),2]),
[iquote('para(4,4645),demod([2])')] ).
cnf(5493,plain,
equal(multiply(A,inverse(inverse(A))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5491,102]),1]),1]),
[iquote('para(5491,102),demod([1]),flip(1)')] ).
cnf(5494,plain,
equal(multiply(inverse(inverse(A)),A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5493,472]),1]),
[iquote('para(5493,472),flip(1)')] ).
cnf(5495,plain,
equal(ifeq(product(inverse(inverse(A)),multiplicative_identity,B),true,sum(A,additive_identity,B),true),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5138]),5494]),
[iquote('back_demod(5138),demod([5494])')] ).
cnf(5510,plain,
equal(sum(A,additive_identity,inverse(inverse(A))),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,5495]),2]),
[iquote('para(10,5495),demod([2])')] ).
cnf(5511,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5510,102]),1]),
[iquote('para(5510,102),demod([1])')] ).
cnf(5574,plain,
equal(sum(x_times_y,multiply(x,multiply(A,y)),x_times_y),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4263,4896]),2]),
[iquote('para(4263,4896),demod([2])')] ).
cnf(5578,plain,
equal(add(x_times_y,multiply(x,multiply(A,y))),x_times_y),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5574,255]),1]),
[iquote('para(5574,255),demod([1])')] ).
cnf(5896,plain,
equal(sum(additive_identity,multiply(inverse(x_inverse_plus_y_inverse),inverse(y)),additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4238,4937]),2]),
[iquote('para(4238,4937),demod([2])')] ).
cnf(5898,plain,
equal(multiply(inverse(x_inverse_plus_y_inverse),inverse(y)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5896,63]),1]),1]),
[iquote('para(5896,63),demod([1]),flip(1)')] ).
cnf(5899,plain,
equal(ifeq(product(inverse(x_inverse_plus_y_inverse),inverse(x),A),true,sum(additive_identity,A,additive_identity),true),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5163]),5898]),
[iquote('back_demod(5163),demod([5898])')] ).
cnf(5932,plain,
equal(sum(additive_identity,multiply(inverse(x_inverse_plus_y_inverse),inverse(x)),additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,5899]),2]),
[iquote('para(4,5899),demod([2])')] ).
cnf(5934,plain,
equal(multiply(inverse(x_inverse_plus_y_inverse),inverse(x)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5932,63]),1]),1]),
[iquote('para(5932,63),demod([1]),flip(1)')] ).
cnf(6220,plain,
equal(ifeq(product(A,B,additive_identity),true,product(A,add(B,C),multiply(A,C)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,696]),2]),
[iquote('para(7,696),demod([2])')] ).
cnf(7927,plain,
equal(ifeq(product(inverse(x_inverse_plus_y_inverse),y,A),true,sum(A,additive_identity,inverse(x_inverse_plus_y_inverse)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5898,4558]),5511]),
[iquote('para(5898,4558),demod([5511])')] ).
cnf(7928,plain,
equal(sum(multiply(inverse(x_inverse_plus_y_inverse),y),additive_identity,inverse(x_inverse_plus_y_inverse)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,7927]),2]),
[iquote('para(4,7927),demod([2])')] ).
cnf(7930,plain,
equal(multiply(inverse(x_inverse_plus_y_inverse),y),inverse(x_inverse_plus_y_inverse)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7928,102]),1]),1]),
[iquote('para(7928,102),demod([1]),flip(1)')] ).
cnf(7938,plain,
equal(add(x_times_y,multiply(x,inverse(x_inverse_plus_y_inverse))),x_times_y),
inference(para,[status(thm),theory(equality)],[7930,5578]),
[iquote('para(7930,5578)')] ).
cnf(7940,plain,
equal(add(x_times_y,multiply(inverse(x_inverse_plus_y_inverse),x)),x_times_y),
inference(para,[status(thm),theory(equality)],[472,7938]),
[iquote('para(472,7938)')] ).
cnf(7948,plain,
equal(sum(multiply(inverse(x_inverse_plus_y_inverse),x),x_times_y,x_times_y),true),
inference(para,[status(thm),theory(equality)],[7940,28]),
[iquote('para(7940,28)')] ).
cnf(8384,plain,
equal(ifeq(product(inverse(x_inverse_plus_y_inverse),x,A),true,sum(A,additive_identity,inverse(x_inverse_plus_y_inverse)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5934,4558]),5511]),
[iquote('para(5934,4558),demod([5511])')] ).
cnf(8385,plain,
equal(sum(multiply(inverse(x_inverse_plus_y_inverse),x),additive_identity,inverse(x_inverse_plus_y_inverse)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8384]),2]),
[iquote('para(4,8384),demod([2])')] ).
cnf(8387,plain,
equal(multiply(inverse(x_inverse_plus_y_inverse),x),inverse(x_inverse_plus_y_inverse)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8385,102]),1]),1]),
[iquote('para(8385,102),demod([1]),flip(1)')] ).
cnf(8421,plain,
equal(sum(inverse(x_inverse_plus_y_inverse),x_times_y,x_times_y),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7948]),8387]),
[iquote('back_demod(7948),demod([8387])')] ).
cnf(10013,plain,
equal(sum(multiply(inverse(x_times_y),inverse(x_inverse_plus_y_inverse)),additive_identity,additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8421,5156]),2]),
[iquote('para(8421,5156),demod([2])')] ).
cnf(10015,plain,
equal(multiply(inverse(x_times_y),inverse(x_inverse_plus_y_inverse)),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10013,102]),1]),1]),
[iquote('para(10013,102),demod([1]),flip(1)')] ).
cnf(10070,plain,
equal(ifeq(product(inverse(A),B,additive_identity),true,product(multiplicative_identity,B,multiply(A,B)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,1387]),2]),
[iquote('para(19,1387),demod([2])')] ).
cnf(10079,plain,
equal(ifeq(product(inverse(x_times_y),x_inverse_plus_y_inverse,A),true,sum(A,additive_identity,inverse(x_times_y)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10015,4558]),5511]),
[iquote('para(10015,4558),demod([5511])')] ).
cnf(10080,plain,
equal(sum(multiply(inverse(x_times_y),x_inverse_plus_y_inverse),additive_identity,inverse(x_times_y)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,10079]),2]),
[iquote('para(4,10079),demod([2])')] ).
cnf(10082,plain,
equal(multiply(inverse(x_times_y),x_inverse_plus_y_inverse),inverse(x_times_y)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10080,102]),1]),1]),
[iquote('para(10080,102),demod([1]),flip(1)')] ).
cnf(10454,plain,
equal(ifeq(product(x_times_y,x_inverse_plus_y_inverse,additive_identity),true,product(multiplicative_identity,x_inverse_plus_y_inverse,inverse(x_times_y)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10082,10070]),5511]),
[iquote('para(10082,10070),demod([5511])')] ).
cnf(10620,plain,
equal(ifeq(product(x_times_y,A,additive_identity),true,product(x_times_y,add(A,inverse(y)),additive_identity),true),true),
inference(para,[status(thm),theory(equality)],[4961,6220]),
[iquote('para(4961,6220)')] ).
cnf(10621,plain,
equal(product(x_times_y,x_inverse_plus_y_inverse,additive_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[433,10620]),5010,2]),
[iquote('para(433,10620),demod([5010,2])')] ).
cnf(10622,plain,
equal(product(multiplicative_identity,x_inverse_plus_y_inverse,inverse(x_times_y)),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10454]),10621,2]),
[iquote('back_demod(10454),demod([10621,2])')] ).
cnf(10624,plain,
equal(inverse(x_times_y),x_inverse_plus_y_inverse),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10622,121]),1]),
[iquote('para(10622,121),demod([1])')] ).
cnf(10625,plain,
$false,
inference(conflict,[status(thm)],[10624,27]),
[iquote('conflict(10624,27)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO015-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 16:19:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/1.06 ----- EQP 0.9e, May 2009 -----
% 0.66/1.06 The job began on n028.cluster.edu, Wed Jun 1 16:19:08 2022
% 0.66/1.06 The command was "./eqp09e".
% 0.66/1.06
% 0.66/1.06 set(prolog_style_variables).
% 0.66/1.06 set(lrpo).
% 0.66/1.06 set(basic_paramod).
% 0.66/1.06 set(functional_subsume).
% 0.66/1.06 set(ordered_paramod).
% 0.66/1.06 set(prime_paramod).
% 0.66/1.06 set(para_pairs).
% 0.66/1.06 assign(pick_given_ratio,4).
% 0.66/1.06 clear(print_kept).
% 0.66/1.06 clear(print_new_demod).
% 0.66/1.06 clear(print_back_demod).
% 0.66/1.06 clear(print_given).
% 0.66/1.06 assign(max_mem,64000).
% 0.66/1.06 end_of_commands.
% 0.66/1.06
% 0.66/1.06 Usable:
% 0.66/1.06 end_of_list.
% 0.66/1.06
% 0.66/1.06 Sos:
% 0.66/1.06 0 (wt=-1) [] ifeq2(A,A,B,C) = B.
% 0.66/1.06 0 (wt=-1) [] ifeq(A,A,B,C) = B.
% 0.66/1.06 0 (wt=-1) [] sum(A,B,add(A,B)) = true.
% 0.66/1.06 0 (wt=-1) [] product(A,B,multiply(A,B)) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.66/1.06 0 (wt=-1) [] sum(additive_identity,A,A) = true.
% 0.66/1.06 0 (wt=-1) [] sum(A,additive_identity,A) = true.
% 0.66/1.06 0 (wt=-1) [] product(multiplicative_identity,A,A) = true.
% 0.66/1.06 0 (wt=-1) [] product(A,multiplicative_identity,A) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 0.66/1.06 0 (wt=-1) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.66/1.06 0 (wt=-1) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.66/1.06 0 (wt=-1) [] product(inverse(A),A,additive_identity) = true.
% 0.66/1.06 0 (wt=-1) [] product(A,inverse(A),additive_identity) = true.
% 0.66/1.06 0 (wt=-1) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.66/1.06 0 (wt=-1) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.66/1.06 0 (wt=-1) [] product(x,y,x_times_y) = true.
% 0.66/1.06 0 (wt=-1) [] sum(inverse(x),inverse(y),x_inverse_plus_y_inverse) = true.
% 0.66/1.06 0 (wt=-1) [] -(inverse(x_times_y) = x_inverse_plus_y_inverse).
% 0.66/1.06 end_of_list.
% 0.66/1.06
% 0.66/1.06 Demodulators:
% 0.66/1.06 end_of_list.
% 0.66/1.06
% 0.66/1.06 Passive:
% 0.66/1.06 end_of_list.
% 0.66/1.06
% 0.66/1.06 Starting to process input.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.66/1.06 1 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.66/1.06 2 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.66/1.06 3 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.66/1.06 4 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.66/1.06 5 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.66/1.06 6 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.66/1.06 7 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.66/1.06 8 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 0.66/1.06 9 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 0.66/1.06 10 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 11 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 0.66/1.06 11 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 12 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 0.66/1.06 12 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 13 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 0.66/1.06 13 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 14 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 0.66/1.06 14 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 0.66/1.06 15 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 0.66/1.06 16 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 0.66/1.06 17 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 18 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 0.66/1.06 18 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.66/1.06 19 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.66/1.06 20 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 0.66/1.06 21 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 0.66/1.06 22 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.66/1.06 23 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.66/1.06 24 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 25 (wt=6) [] product(x,y,x_times_y) = true.
% 0.66/1.06 25 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 26 (wt=8) [] sum(inverse(x),inverse(y),x_inverse_plus_y_inverse) = true.
% 0.66/1.06 26 is a new demodulator.
% 0.66/1.06
% 0.66/1.06 ** KEPT: 27 (wt=4) [] -(inverse(x_times_y) = x_inverse_plus_y_inverse).
% 0.66/1.06
% 0.66/1.06 After processing input:
% 0.66/1.06
% 0.66/1.06 Usable:
% 0.66/1.06 end_of_list.
% 0.66/1.06
% 0.66/1.06 Sos:
% 0.66/1.06 27 (wt=4) [] -(inverse(x_times_y) = x_inverse_plus_y_inverse).
% 0.66/1.06 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.66/1.06 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.66/1.06 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 0.66/1.06 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 0.66/1.06 25 (wt=6) [] product(x,y,x_times_y) = true.
% 0.66/1.06 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.66/1.06 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.66/1.06 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.66/1.06 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.66/1.06 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 0.66/1.06 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 0.66/1.06 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.66/1.06 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.66/1.06 26 (wt=8) [] sum(inverse(x),inverse(y),x_inverse_plus_y_inverse) = true.
% 0.66/1.06 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.66/1.06 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.66/1.06 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.66/1.06 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.66/1.06 11 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 0.66/1.06 12 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 0.66/1.06 13 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 0.66/1.06 14 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 0.66/1.06 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 0.66/1.06 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 0.66/1.06 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 0.66/1.06 18 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 10.34/10.74 end_of_list.
% 10.34/10.74
% 10.34/10.74 Demodulators:
% 10.34/10.74 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 10.34/10.74 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 10.34/10.74 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 10.34/10.74 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 10.34/10.74 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 10.34/10.74 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 10.34/10.74 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 10.34/10.74 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 10.34/10.74 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 10.34/10.74 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 10.34/10.74 11 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(product(A,F,G),true,ifeq(sum(F,D,B),true,sum(G,E,C),true),true),true),true) = true.
% 10.34/10.74 12 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,B,G),true,product(A,G,F),true),true),true),true) = true.
% 10.34/10.74 13 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,B,G),true,ifeq(sum(F,D,A),true,sum(G,E,C),true),true),true),true) = true.
% 10.34/10.74 14 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(sum(E,C,F),true,ifeq(sum(D,A,G),true,product(G,B,F),true),true),true),true) = true.
% 10.34/10.74 15 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,B,F),true,ifeq(sum(D,A,G),true,product(G,F,E),true),true),true),true) = true.
% 10.34/10.74 16 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(G,E,B),true,ifeq(sum(G,D,A),true,sum(G,F,C),true),true),true),true) = true.
% 10.34/10.74 17 (wt=34) [] ifeq(product(A,B,C),true,ifeq(sum(C,D,E),true,ifeq(sum(B,D,F),true,ifeq(sum(A,D,G),true,product(G,F,E),true),true),true),true) = true.
% 10.34/10.74 18 (wt=34) [] ifeq(product(A,B,C),true,ifeq(product(D,E,F),true,ifeq(sum(E,G,B),true,ifeq(sum(D,G,A),true,sum(F,G,C),true),true),true),true) = true.
% 10.34/10.74 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) ---------------- PROOF FOUND ----------------
% 10.34/10.74 % SZS status Unsatisfiable
% 10.34/10.74
% 10.34/10.74 = true.
% 10.34/10.74 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 10.34/10.74 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 10.34/10.74 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 10.34/10.74 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 10.34/10.74 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 10.34/10.74 25 (wt=6) [] product(x,y,x_times_y) = true.
% 10.34/10.74 26 (wt=8) [] sum(inverse(x),inverse(y),x_inverse_plus_y_inverse) = true.
% 10.34/10.74 end_of_list.
% 10.34/10.74
% 10.34/10.74 Passive:
% 10.34/10.74 end_of_list.
% 10.34/10.74
% 10.34/10.74 UNIT CONFLICT from 10624 and 27 at 3.92 seconds.
% 10.34/10.74
% 10.34/10.74 ---------------- PROOF ----------------
% 10.34/10.74 % SZS output start Refutation
% See solution above
% 10.34/10.74 ------------ end of proof -------------
% 10.34/10.74
% 10.34/10.74
% 10.34/10.74 ------------- memory usage ------------
% 10.34/10.74 Memory dynamically allocated (tp_alloc): 13183.
% 10.34/10.74 type (bytes each) gets frees in use avail bytes
% 10.34/10.74 sym_ent ( 96) 74 0 74 0 6.9 K
% 10.34/10.74 term ( 16) 1662818 1474783 188035 41 3631.9 K
% 10.34/10.74 gen_ptr ( 8) 1183557 446225 737332 132 5761.4 K
% 10.34/10.74 context ( 808) 43468936 43468934 2 2 3.2 K
% 10.34/10.74 trail ( 12) 83542 83542 0 7 0.1 K
% 10.34/10.74 bt_node ( 68) 32762091 32762087 4 28 2.1 K
% 10.34/10.74 ac_position (285432) 0 0 0 0 0.0 K
% 10.34/10.74 ac_match_pos (14044) 0 0 0 0 0.0 K
% 10.34/10.74 ac_match_free_vars_pos (4020)
% 10.34/10.74 0 0 0 0 0.0 K
% 10.34/10.74 discrim ( 12) 167322 41296 126026 138 1478.5 K
% 10.34/10.74 flat ( 40) 2829470 2829470 0 33 1.3 K
% 10.34/10.74 discrim_pos ( 12) 115818 115818 0 1 0.0 K
% 10.34/10.74 fpa_head ( 12) 5416 0 5416 0 63.5 K
% 10.34/10.74 fpa_tree ( 28) 145361 145361 0 25 0.7 K
% 10.34/10.74 fpa_pos ( 36) 21244 21244 0 1 0.0 K
% 10.34/10.74 literal ( 12) 75339 64715 10624 1 124.5 K
% 10.34/10.74 clause ( 24) 75339 64715 10624 1 249.0 K
% 10.34/10.74 list ( 12) 10679 10623 56 4 0.7 K
% 10.34/10.74 list_pos ( 20) 46787 10544 36243 35 708.6 K
% 10.34/10.74 pair_index ( 40) 2 0 2 0 0.1 K
% 10.34/10.74
% 10.34/10.74 -------------- statistics -------------
% 10.34/10.74 Clauses input 27
% 10.34/10.74 Usable input 0
% 10.34/10.74 Sos input 27
% 10.34/10.74 Demodulators input 0
% 10.34/10.74 Passive input 0
% 10.34/10.74
% 10.34/10.74 Processed BS (before search) 27
% 10.34/10.74 Forward subsumed BS 0
% 10.34/10.74 Kept BS 27
% 10.34/10.74 New demodulators BS 26
% 10.34/10.74 Back demodulated BS 0
% 10.34/10.74
% 10.34/10.74 Clauses or pairs given 2070722
% 10.34/10.74 Clauses generated 64603
% 10.34/10.74 Forward subsumed 54006
% 10.34/10.74 Deleted by weight 0
% 10.34/10.74 Deleted by variable count 0
% 10.34/10.74 Kept 10597
% 10.34/10.74 New demodulators 10594
% 10.34/10.74 Back demodulated 2082
% 10.34/10.74 Ordered paramod prunes 0
% 10.34/10.74 Basic paramod prunes 11963171
% 10.34/10.74 Prime paramod prunes 10330
% 10.34/10.74 Semantic prunes 0
% 10.34/10.74
% 10.34/10.74 Rewrite attmepts 925946
% 10.34/10.74 Rewrites 105412
% 10.34/10.74
% 10.34/10.74 FPA overloads 0
% 10.34/10.74 FPA underloads 0
% 10.34/10.74
% 10.34/10.74 Usable size 0
% 10.34/10.74 Sos size 8541
% 10.34/10.74 Demodulators size 8538
% 10.34/10.74 Passive size 0
% 10.34/10.74 Disabled size 2082
% 10.34/10.74
% 10.34/10.74 Proofs found 1
% 10.34/10.74
% 10.34/10.74 ----------- times (seconds) ----------- Wed Jun 1 16:19:18 2022
% 10.34/10.74
% 10.34/10.74 user CPU time 3.92 (0 hr, 0 min, 3 sec)
% 10.34/10.74 system CPU time 5.76 (0 hr, 0 min, 5 sec)
% 10.34/10.74 wall-clock time 10 (0 hr, 0 min, 10 sec)
% 10.34/10.74 input time 0.00
% 10.34/10.74 paramodulation time 1.74
% 10.34/10.74 demodulation time 0.09
% 10.34/10.74 orient time 0.07
% 10.34/10.74 weigh time 0.01
% 10.34/10.74 forward subsume time 0.03
% 10.34/10.74 back demod find time 0.29
% 10.34/10.74 conflict time 0.01
% 10.34/10.74 LRPO time 0.03
% 10.34/10.74 store clause time 0.20
% 10.34/10.74 disable clause time 0.05
% 10.34/10.74 prime paramod time 0.05
% 10.34/10.74 semantics time 0.00
% 10.34/10.74
% 10.34/10.74 EQP interrupted
%------------------------------------------------------------------------------