TSTP Solution File: BOO014-10 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO014-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 23:37:06 EDT 2022
% Result : Unsatisfiable 37.23s 37.67s
% Output : Refutation 37.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 25
% Syntax : Number of clauses : 124 ( 124 unt; 0 nHn; 36 RR)
% Number of literals : 124 ( 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 : 251 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(ifeq2(A,A,B,C),B),
file('BOO014-10.p',unknown),
[] ).
cnf(2,plain,
equal(ifeq(A,A,B,C),B),
file('BOO014-10.p',unknown),
[] ).
cnf(3,plain,
equal(sum(A,B,add(A,B)),true),
file('BOO014-10.p',unknown),
[] ).
cnf(4,plain,
equal(product(A,B,multiply(A,B)),true),
file('BOO014-10.p',unknown),
[] ).
cnf(5,plain,
equal(ifeq(sum(A,B,C),true,sum(B,A,C),true),true),
file('BOO014-10.p',unknown),
[] ).
cnf(6,plain,
equal(ifeq(product(A,B,C),true,product(B,A,C),true),true),
file('BOO014-10.p',unknown),
[] ).
cnf(7,plain,
equal(sum(additive_identity,A,A),true),
file('BOO014-10.p',unknown),
[] ).
cnf(8,plain,
equal(sum(A,additive_identity,A),true),
file('BOO014-10.p',unknown),
[] ).
cnf(9,plain,
equal(product(multiplicative_identity,A,A),true),
file('BOO014-10.p',unknown),
[] ).
cnf(10,plain,
equal(product(A,multiplicative_identity,A),true),
file('BOO014-10.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('BOO014-10.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('BOO014-10.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('BOO014-10.p',unknown),
[] ).
cnf(15,plain,
equal(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),
file('BOO014-10.p',unknown),
[] ).
cnf(16,plain,
equal(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),
file('BOO014-10.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('BOO014-10.p',unknown),
[] ).
cnf(19,plain,
equal(sum(inverse(A),A,multiplicative_identity),true),
file('BOO014-10.p',unknown),
[] ).
cnf(20,plain,
equal(sum(A,inverse(A),multiplicative_identity),true),
file('BOO014-10.p',unknown),
[] ).
cnf(21,plain,
equal(product(inverse(A),A,additive_identity),true),
file('BOO014-10.p',unknown),
[] ).
cnf(22,plain,
equal(product(A,inverse(A),additive_identity),true),
file('BOO014-10.p',unknown),
[] ).
cnf(23,plain,
equal(ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C),C),
file('BOO014-10.p',unknown),
[] ).
cnf(24,plain,
equal(ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C),C),
file('BOO014-10.p',unknown),
[] ).
cnf(25,plain,
equal(sum(x,y,x_plus_y),true),
file('BOO014-10.p',unknown),
[] ).
cnf(26,plain,
equal(product(inverse(x),inverse(y),x_inverse_times_y_inverse),true),
file('BOO014-10.p',unknown),
[] ).
cnf(27,plain,
~ equal(inverse(x_plus_y),x_inverse_times_y_inverse),
file('BOO014-10.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(sum(y,x,x_plus_y),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,5]),2]),
[iquote('para(25,5),demod([2])')] ).
cnf(47,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,ifeq(sum(D,B,F),true,product(A,F,add(E,C)),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(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(82,plain,
equal(add(additive_identity,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,63]),1]),
[iquote('para(3,63),demod([1])')] ).
cnf(88,plain,
equal(add(A,additive_identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,63]),1]),
[iquote('para(28,63),demod([1])')] ).
cnf(100,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(D,C,E),true,ifeq(sum(D,A,F),true,product(F,add(D,B),E),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,15]),2]),
[iquote('para(3,15),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(109,plain,
equal(ifeq(product(A,B,additive_identity),true,ifeq(sum(C,B,D),true,ifeq(sum(C,A,E),true,product(E,D,C),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,15]),2]),
[iquote('para(8,15),demod([2])')] ).
cnf(116,plain,
equal(ifeq(product(A,add(B,C),D),true,ifeq(product(E,C,F),true,ifeq(sum(B,E,A),true,sum(B,F,D),true),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,16]),2]),
[iquote('para(3,16),demod([2])')] ).
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(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(199,plain,
equal(multiply(A,multiplicative_identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,151]),1]),
[iquote('para(29,151),demod([1])')] ).
cnf(248,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(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(262,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(415,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]),199,2]),
[iquote('para(19,32),demod([199,2])')] ).
cnf(433,plain,
equal(add(A,B),add(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,255]),1]),
[iquote('para(28,255),demod([1])')] ).
cnf(434,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(B,D,multiplicative_identity),true,sum(C,multiply(A,D),A),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,33]),2]),
[iquote('para(10,33),demod([2])')] ).
cnf(444,plain,
equal(multiply(inverse(x),inverse(y)),x_inverse_times_y_inverse),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,262]),1]),
[iquote('para(26,262),demod([1])')] ).
cnf(457,plain,
equal(multiply(A,B),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,262]),1]),
[iquote('para(29,262),demod([1])')] ).
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(463,plain,
equal(multiply(inverse(y),inverse(x)),x_inverse_times_y_inverse),
inference(para,[status(thm),theory(equality)],[457,444]),
[iquote('para(457,444)')] ).
cnf(663,plain,
equal(ifeq(product(A,B,C),true,ifeq(product(A,D,E),true,product(A,add(D,B),add(E,C)),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,47]),2]),
[iquote('para(3,47),demod([2])')] ).
cnf(664,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(B,D,E),true,product(A,E,add(C,multiply(A,D))),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,47]),2]),
[iquote('para(4,47),demod([2])')] ).
cnf(853,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(1251,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(1695,plain,
equal(ifeq(product(A,B,C),true,ifeq(sum(inverse(C),A,D),true,product(D,add(inverse(C),B),multiplicative_identity),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,100]),2]),
[iquote('para(19,100),demod([2])')] ).
cnf(1838,plain,
equal(ifeq(product(additive_identity,A,additive_identity),true,ifeq(sum(B,A,C),true,product(B,C,B),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,109]),2]),
[iquote('para(8,109),demod([2])')] ).
cnf(1976,plain,
equal(ifeq(product(A,add(B,C),D),true,ifeq(sum(B,E,A),true,sum(B,multiply(E,C),D),true),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,116]),2]),
[iquote('para(4,116),demod([2])')] ).
cnf(2419,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(3169,plain,
equal(ifeq(product(additive_identity,y,additive_identity),true,product(x,x_plus_y,x),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,1838]),2]),
[iquote('para(25,1838),demod([2])')] ).
cnf(3177,plain,
equal(ifeq(product(additive_identity,x,additive_identity),true,product(y,x_plus_y,y),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,1838]),2]),
[iquote('para(38,1838),demod([2])')] ).
cnf(3658,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)],[22,853]),2]),
[iquote('para(22,853),demod([2])')] ).
cnf(3659,plain,
equal(product(A,inverse(A),multiply(A,additive_identity)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,3658]),2]),
[iquote('para(4,3658),demod([2])')] ).
cnf(3661,plain,
equal(multiply(A,additive_identity),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3659,265]),1]),
[iquote('para(3659,265),demod([1])')] ).
cnf(3671,plain,
equal(product(A,additive_identity,additive_identity),true),
inference(para,[status(thm),theory(equality)],[3661,4]),
[iquote('para(3661,4)')] ).
cnf(3674,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)],[2419]),3671,2]),
[iquote('back_demod(2419),demod([3671,2])')] ).
cnf(3676,plain,
equal(product(additive_identity,A,additive_identity),true),
inference(para,[status(thm),theory(equality)],[3661,29]),
[iquote('para(3661,29)')] ).
cnf(3677,plain,
equal(product(y,x_plus_y,y),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3177]),3676,2]),
[iquote('back_demod(3177),demod([3676,2])')] ).
cnf(3678,plain,
equal(product(x,x_plus_y,x),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3169]),3676,2]),
[iquote('back_demod(3169),demod([3676,2])')] ).
cnf(3704,plain,
equal(product(add(A,B),B,B),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,3674]),2]),
[iquote('para(3,3674),demod([2])')] ).
cnf(3706,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)],[3704,248]),1]),1]),
[iquote('para(3704,248),demod([1]),flip(1)')] ).
cnf(3716,plain,
equal(sum(A,multiplicative_identity,multiplicative_identity),true),
inference(para,[status(thm),theory(equality)],[3706,3]),
[iquote('para(3706,3)')] ).
cnf(3717,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)],[1251]),3716,2]),
[iquote('back_demod(1251),demod([3716,2])')] ).
cnf(3757,plain,
equal(sum(multiply(A,B),B,B),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,3717]),2]),
[iquote('para(4,3717),demod([2])')] ).
cnf(3764,plain,
equal(add(multiply(A,B),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3757,255]),1]),
[iquote('para(3757,255),demod([1])')] ).
cnf(3766,plain,
equal(add(x_inverse_times_y_inverse,inverse(y)),inverse(y)),
inference(para,[status(thm),theory(equality)],[444,3764]),
[iquote('para(444,3764)')] ).
cnf(3772,plain,
equal(add(x_inverse_times_y_inverse,inverse(x)),inverse(x)),
inference(para,[status(thm),theory(equality)],[463,3764]),
[iquote('para(463,3764)')] ).
cnf(4460,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)],[22,415]),2]),
[iquote('para(22,415),demod([2])')] ).
cnf(4463,plain,
equal(ifeq(product(A,inverse(B),C),true,sum(C,multiply(B,A),A),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,415]),2]),
[iquote('para(29,415),demod([2])')] ).
cnf(4738,plain,
equal(ifeq(sum(inverse(A),B,multiplicative_identity),true,sum(additive_identity,multiply(A,B),A),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,434]),2]),
[iquote('para(22,434),demod([2])')] ).
cnf(5014,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(5121,plain,
equal(sum(multiply(A,inverse(inverse(A))),additive_identity,A),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,4460]),2]),
[iquote('para(4,4460),demod([2])')] ).
cnf(5123,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)],[5121,102]),1]),1]),
[iquote('para(5121,102),demod([1]),flip(1)')] ).
cnf(5124,plain,
equal(multiply(inverse(inverse(A)),A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5123,457]),1]),
[iquote('para(5123,457),flip(1)')] ).
cnf(5125,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)],[5014]),5124]),
[iquote('back_demod(5014),demod([5124])')] ).
cnf(5144,plain,
equal(sum(A,additive_identity,inverse(inverse(A))),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,5125]),2]),
[iquote('para(10,5125),demod([2])')] ).
cnf(5145,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5144,102]),1]),
[iquote('para(5144,102),demod([1])')] ).
cnf(5948,plain,
equal(ifeq(product(A,B,C),true,product(A,add(B,inverse(A)),C),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,663]),88,2]),
[iquote('para(22,663),demod([88,2])')] ).
cnf(5981,plain,
equal(ifeq(product(A,y,B),true,product(A,x_plus_y,add(B,multiply(A,x))),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,664]),2]),
[iquote('para(38,664),demod([2])')] ).
cnf(6452,plain,
equal(ifeq(product(A,y,additive_identity),true,product(A,x_plus_y,multiply(A,x)),true),true),
inference(para,[status(thm),theory(equality)],[82,5981]),
[iquote('para(82,5981)')] ).
cnf(7404,plain,
equal(ifeq(product(y,x_inverse_times_y_inverse,A),true,product(y,inverse(y),A),true),true),
inference(para,[status(thm),theory(equality)],[3766,5948]),
[iquote('para(3766,5948)')] ).
cnf(7405,plain,
equal(product(y,inverse(y),multiply(y,x_inverse_times_y_inverse)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,7404]),2]),
[iquote('para(4,7404),demod([2])')] ).
cnf(7407,plain,
equal(multiply(y,x_inverse_times_y_inverse),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7405,265]),1]),
[iquote('para(7405,265),demod([1])')] ).
cnf(7410,plain,
equal(product(x_inverse_times_y_inverse,y,additive_identity),true),
inference(para,[status(thm),theory(equality)],[7407,29]),
[iquote('para(7407,29)')] ).
cnf(7471,plain,
equal(product(x_inverse_times_y_inverse,x_plus_y,multiply(x_inverse_times_y_inverse,x)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7410,6452]),2]),
[iquote('para(7410,6452),demod([2])')] ).
cnf(7473,plain,
equal(multiply(x_inverse_times_y_inverse,x_plus_y),multiply(x_inverse_times_y_inverse,x)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7471,262]),1]),
[iquote('para(7471,262),demod([1])')] ).
cnf(7474,plain,
equal(multiply(x_plus_y,x_inverse_times_y_inverse),multiply(x_inverse_times_y_inverse,x)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7473,457]),1]),
[iquote('para(7473,457),flip(1)')] ).
cnf(8383,plain,
equal(ifeq(product(x,x_inverse_times_y_inverse,A),true,product(x,inverse(x),A),true),true),
inference(para,[status(thm),theory(equality)],[3772,5948]),
[iquote('para(3772,5948)')] ).
cnf(8384,plain,
equal(product(x,inverse(x),multiply(x,x_inverse_times_y_inverse)),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8383]),2]),
[iquote('para(4,8383),demod([2])')] ).
cnf(8386,plain,
equal(multiply(x,x_inverse_times_y_inverse),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8384,265]),1]),
[iquote('para(8384,265),demod([1])')] ).
cnf(8392,plain,
equal(multiply(x_inverse_times_y_inverse,x),additive_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8386,457]),1]),
[iquote('para(8386,457),flip(1)')] ).
cnf(8438,plain,
equal(multiply(x_plus_y,x_inverse_times_y_inverse),additive_identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7474]),8392]),
[iquote('back_demod(7474),demod([8392])')] ).
cnf(8645,plain,
equal(ifeq(product(x_inverse_times_y_inverse,inverse(x_plus_y),A),true,sum(A,additive_identity,x_inverse_times_y_inverse),true),true),
inference(para,[status(thm),theory(equality)],[8438,4463]),
[iquote('para(8438,4463)')] ).
cnf(8791,plain,
equal(sum(multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),additive_identity,x_inverse_times_y_inverse),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8645]),2]),
[iquote('para(4,8645),demod([2])')] ).
cnf(8793,plain,
equal(multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),x_inverse_times_y_inverse),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8791,102]),1]),1]),
[iquote('para(8791,102),demod([1]),flip(1)')] ).
cnf(8794,plain,
equal(multiply(inverse(x_plus_y),x_inverse_times_y_inverse),x_inverse_times_y_inverse),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8793,457]),1]),
[iquote('para(8793,457),flip(1)')] ).
cnf(9464,plain,
equal(ifeq(sum(x_plus_y,x_inverse_times_y_inverse,multiplicative_identity),true,sum(additive_identity,x_inverse_times_y_inverse,inverse(x_plus_y)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8794,4738]),5145]),
[iquote('para(8794,4738),demod([5145])')] ).
cnf(11631,plain,
equal(ifeq(product(A,B,A),true,product(multiplicative_identity,add(inverse(A),B),multiplicative_identity),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,1695]),2]),
[iquote('para(19,1695),demod([2])')] ).
cnf(11636,plain,
equal(product(multiplicative_identity,add(inverse(y),x_plus_y),multiplicative_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3677,11631]),2]),
[iquote('para(3677,11631),demod([2])')] ).
cnf(11639,plain,
equal(add(inverse(y),x_plus_y),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11636,151]),1]),1]),
[iquote('para(11636,151),demod([1]),flip(1)')] ).
cnf(11640,plain,
equal(add(x_plus_y,inverse(y)),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11639,433]),1]),
[iquote('para(11639,433),flip(1)')] ).
cnf(11711,plain,
equal(product(multiplicative_identity,add(inverse(x),x_plus_y),multiplicative_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3678,11631]),2]),
[iquote('para(3678,11631),demod([2])')] ).
cnf(11713,plain,
equal(add(inverse(x),x_plus_y),multiplicative_identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11711,151]),1]),1]),
[iquote('para(11711,151),demod([1]),flip(1)')] ).
cnf(11716,plain,
equal(sum(x_plus_y,inverse(x),multiplicative_identity),true),
inference(para,[status(thm),theory(equality)],[11713,28]),
[iquote('para(11713,28)')] ).
cnf(12851,plain,
equal(ifeq(sum(A,B,multiplicative_identity),true,sum(A,multiply(B,C),add(A,C)),true),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,1976]),2]),
[iquote('para(9,1976),demod([2])')] ).
cnf(21701,plain,
equal(ifeq(sum(x_plus_y,A,multiplicative_identity),true,sum(x_plus_y,multiply(A,inverse(y)),multiplicative_identity),true),true),
inference(para,[status(thm),theory(equality)],[11640,12851]),
[iquote('para(11640,12851)')] ).
cnf(21702,plain,
equal(sum(x_plus_y,x_inverse_times_y_inverse,multiplicative_identity),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[444,21701]),11716,2]),
[iquote('para(444,21701),demod([11716,2])')] ).
cnf(21703,plain,
equal(sum(additive_identity,x_inverse_times_y_inverse,inverse(x_plus_y)),true),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9464]),21702,2]),
[iquote('back_demod(9464),demod([21702,2])')] ).
cnf(21705,plain,
equal(inverse(x_plus_y),x_inverse_times_y_inverse),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21703,63]),1]),
[iquote('para(21703,63),demod([1])')] ).
cnf(21706,plain,
$false,
inference(conflict,[status(thm)],[21705,27]),
[iquote('conflict(21705,27)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO014-10 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n023.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 21:16:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.65/1.05 ----- EQP 0.9e, May 2009 -----
% 0.65/1.05 The job began on n023.cluster.edu, Wed Jun 1 21:16:11 2022
% 0.65/1.05 The command was "./eqp09e".
% 0.65/1.05
% 0.65/1.05 set(prolog_style_variables).
% 0.65/1.05 set(lrpo).
% 0.65/1.05 set(basic_paramod).
% 0.65/1.05 set(functional_subsume).
% 0.65/1.05 set(ordered_paramod).
% 0.65/1.05 set(prime_paramod).
% 0.65/1.05 set(para_pairs).
% 0.65/1.05 assign(pick_given_ratio,4).
% 0.65/1.05 clear(print_kept).
% 0.65/1.05 clear(print_new_demod).
% 0.65/1.05 clear(print_back_demod).
% 0.65/1.05 clear(print_given).
% 0.65/1.05 assign(max_mem,64000).
% 0.65/1.05 end_of_commands.
% 0.65/1.05
% 0.65/1.05 Usable:
% 0.65/1.05 end_of_list.
% 0.65/1.05
% 0.65/1.05 Sos:
% 0.65/1.05 0 (wt=-1) [] ifeq2(A,A,B,C) = B.
% 0.65/1.05 0 (wt=-1) [] ifeq(A,A,B,C) = B.
% 0.65/1.05 0 (wt=-1) [] sum(A,B,add(A,B)) = true.
% 0.65/1.05 0 (wt=-1) [] product(A,B,multiply(A,B)) = true.
% 0.65/1.05 0 (wt=-1) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.65/1.05 0 (wt=-1) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.65/1.05 0 (wt=-1) [] sum(additive_identity,A,A) = true.
% 0.65/1.05 0 (wt=-1) [] sum(A,additive_identity,A) = true.
% 0.65/1.05 0 (wt=-1) [] product(multiplicative_identity,A,A) = true.
% 0.65/1.05 0 (wt=-1) [] product(A,multiplicative_identity,A) = true.
% 0.65/1.05 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.
% 0.65/1.05 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.
% 0.65/1.05 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.
% 0.65/1.05 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.
% 0.65/1.05 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.
% 0.65/1.05 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.
% 0.65/1.05 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.
% 0.65/1.05 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.
% 0.65/1.05 0 (wt=-1) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.65/1.05 0 (wt=-1) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.65/1.05 0 (wt=-1) [] product(inverse(A),A,additive_identity) = true.
% 0.65/1.05 0 (wt=-1) [] product(A,inverse(A),additive_identity) = true.
% 0.65/1.05 0 (wt=-1) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.65/1.05 0 (wt=-1) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.65/1.05 0 (wt=-1) [] sum(x,y,x_plus_y) = true.
% 0.65/1.05 0 (wt=-1) [] product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true.
% 0.65/1.05 0 (wt=-1) [] -(inverse(x_plus_y) = x_inverse_times_y_inverse).
% 0.65/1.05 end_of_list.
% 0.65/1.05
% 0.65/1.05 Demodulators:
% 0.65/1.05 end_of_list.
% 0.65/1.05
% 0.65/1.05 Passive:
% 0.65/1.05 end_of_list.
% 0.65/1.05
% 0.65/1.05 Starting to process input.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.65/1.05 1 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.65/1.05 2 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.65/1.05 3 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.65/1.05 4 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.65/1.05 5 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.65/1.05 6 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.65/1.05 7 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.65/1.05 8 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 0.65/1.05 9 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** KEPT: 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 0.65/1.05 10 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** 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.
% 0.65/1.05 11 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** 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.
% 0.65/1.05 12 is a new demodulator.
% 0.65/1.05
% 0.65/1.05 ** 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.
% 0.65/1.06 13 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** 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.
% 0.65/1.06 14 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** 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.
% 0.65/1.06 15 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** 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.
% 0.65/1.06 16 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** 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.
% 0.65/1.06 17 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** 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.
% 0.65/1.06 18 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.65/1.06 19 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.65/1.06 20 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 0.65/1.06 21 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 0.65/1.06 22 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.65/1.06 23 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.65/1.06 24 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 25 (wt=6) [] sum(x,y,x_plus_y) = true.
% 0.65/1.06 25 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 26 (wt=8) [] product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true.
% 0.65/1.06 26 is a new demodulator.
% 0.65/1.06
% 0.65/1.06 ** KEPT: 27 (wt=4) [] -(inverse(x_plus_y) = x_inverse_times_y_inverse).
% 0.65/1.06
% 0.65/1.06 After processing input:
% 0.65/1.06
% 0.65/1.06 Usable:
% 0.65/1.06 end_of_list.
% 0.65/1.06
% 0.65/1.06 Sos:
% 0.65/1.06 27 (wt=4) [] -(inverse(x_plus_y) = x_inverse_times_y_inverse).
% 0.65/1.06 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 0.65/1.06 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 0.65/1.06 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 0.65/1.06 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 0.65/1.06 25 (wt=6) [] sum(x,y,x_plus_y) = true.
% 0.65/1.06 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.65/1.06 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.65/1.06 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) = true.
% 0.65/1.06 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 0.65/1.06 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 0.65/1.06 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 0.65/1.06 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 0.65/1.06 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 0.65/1.06 26 (wt=8) [] product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true.
% 0.65/1.06 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 0.65/1.06 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 0.65/1.06 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 0.65/1.06 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 0.65/1.06 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.
% 0.65/1.06 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.
% 0.65/1.06 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.
% 0.65/1.06 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.
% 0.65/1.06 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.
% 0.65/1.06 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.
% 0.65/1.06 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.
% 0.65/1.06 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.
% 37.23/37.67 end_of_list.
% 37.23/37.67
% 37.23/37.67 Demodulators:
% 37.23/37.67 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 37.23/37.67 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 37.23/37.67 3 (wt=8) [] sum(A,B,add(A,B)) = true.
% 37.23/37.67 4 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 37.23/37.67 5 (wt=13) [] ifeq(sum(A,B,C),true,sum(B,A,C),true) = true.
% 37.23/37.67 6 (wt=13) [] ifeq(product(A,B,C),true,product(B,A,C),true) = true.
% 37.23/37.67 7 (wt=6) [] sum(additive_identity,A,A) = true.
% 37.23/37.67 8 (wt=6) [] sum(A,additive_identity,A) = true.
% 37.23/37.67 9 (wt=6) [] product(multiplicative_identity,A,A) = true.
% 37.23/37.67 10 (wt=6) [] product(A,multiplicative_identity,A) = true.
% 37.23/37.67 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.
% 37.23/37.67 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.
% 37.23/37.67 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.
% 37.23/37.67 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.
% 37.23/37.67 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.
% 37.23/37.67 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.
% 37.23/37.67 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.
% 37.23/37.67 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.
% 37.23/37.67 19 (wt=7) [] sum(inverse(A),A,multiplicative_identity) ---------------- PROOF FOUND ----------------
% 37.23/37.67 % SZS status Unsatisfiable
% 37.23/37.67
% 37.23/37.67 = true.
% 37.23/37.67 20 (wt=7) [] sum(A,inverse(A),multiplicative_identity) = true.
% 37.23/37.67 21 (wt=7) [] product(inverse(A),A,additive_identity) = true.
% 37.23/37.67 22 (wt=7) [] product(A,inverse(A),additive_identity) = true.
% 37.23/37.67 23 (wt=17) [] ifeq2(sum(A,B,C),true,ifeq2(sum(A,B,D),true,D,C),C) = C.
% 37.23/37.67 24 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 37.23/37.67 25 (wt=6) [] sum(x,y,x_plus_y) = true.
% 37.23/37.67 26 (wt=8) [] product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true.
% 37.23/37.67 end_of_list.
% 37.23/37.67
% 37.23/37.67 Passive:
% 37.23/37.67 end_of_list.
% 37.23/37.67
% 37.23/37.67 UNIT CONFLICT from 21705 and 27 at 15.03 seconds.
% 37.23/37.67
% 37.23/37.67 ---------------- PROOF ----------------
% 37.23/37.67 % SZS output start Refutation
% See solution above
% 37.23/37.67 ------------ end of proof -------------
% 37.23/37.67
% 37.23/37.67
% 37.23/37.67 ------------- memory usage ------------
% 37.23/37.67 Memory dynamically allocated (tp_alloc): 24902.
% 37.23/37.67 type (bytes each) gets frees in use avail bytes
% 37.23/37.67 sym_ent ( 96) 74 0 74 0 6.9 K
% 37.23/37.67 term ( 16) 3946629 3589121 357508 40 6898.6 K
% 37.23/37.67 gen_ptr ( 8) 2455110 1069683 1385427 123 10824.6 K
% 37.23/37.67 context ( 808) 155452451 155452449 2 4 4.7 K
% 37.23/37.67 trail ( 12) 156096 156096 0 7 0.1 K
% 37.23/37.67 bt_node ( 68) 115866793 115866789 4 28 2.1 K
% 37.23/37.68 ac_position (285432) 0 0 0 0 0.0 K
% 37.23/37.68 ac_match_pos (14044) 0 0 0 0 0.0 K
% 37.23/37.68 ac_match_free_vars_pos (4020)
% 37.23/37.68 0 0 0 0 0.0 K
% 37.23/37.68 discrim ( 12) 308126 66529 241597 182 2833.3 K
% 37.23/37.68 flat ( 40) 6746022 6746022 0 33 1.3 K
% 37.23/37.68 discrim_pos ( 12) 291031 291031 0 1 0.0 K
% 37.23/37.68 fpa_head ( 12) 9166 0 9166 0 107.4 K
% 37.23/37.68 fpa_tree ( 28) 280210 280210 0 25 0.7 K
% 37.23/37.68 fpa_pos ( 36) 43406 43406 0 1 0.0 K
% 37.23/37.68 literal ( 12) 179977 158272 21705 1 254.4 K
% 37.23/37.68 clause ( 24) 179977 158272 21705 1 508.7 K
% 37.23/37.68 list ( 12) 21760 21704 56 5 0.7 K
% 37.23/37.68 list_pos ( 20) 95491 21494 73997 50 1446.2 K
% 37.23/37.68 pair_index ( 40) 2 0 2 0 0.1 K
% 37.23/37.68
% 37.23/37.68 -------------- statistics -------------
% 37.23/37.68 Clauses input 27
% 37.23/37.68 Usable input 0
% 37.23/37.68 Sos input 27
% 37.23/37.68 Demodulators input 0
% 37.23/37.68 Passive input 0
% 37.23/37.68
% 37.23/37.68 Processed BS (before search) 27
% 37.23/37.68 Forward subsumed BS 0
% 37.23/37.68 Kept BS 27
% 37.23/37.68 New demodulators BS 26
% 37.23/37.68 Back demodulated BS 0
% 37.23/37.68
% 37.23/37.68 Clauses or pairs given 8102071
% 37.23/37.68 Clauses generated 157935
% 37.23/37.68 Forward subsumed 136257
% 37.23/37.68 Deleted by weight 0
% 37.23/37.68 Deleted by variable count 0
% 37.23/37.68 Kept 21678
% 37.23/37.68 New demodulators 21675
% 37.23/37.68 Back demodulated 4272
% 37.23/37.68 Ordered paramod prunes 0
% 37.23/37.68 Basic paramod prunes 54799360
% 37.23/37.68 Prime paramod prunes 22938
% 37.23/37.68 Semantic prunes 0
% 37.23/37.68
% 37.23/37.68 Rewrite attmepts 2261762
% 37.23/37.68 Rewrites 267835
% 37.23/37.68
% 37.23/37.68 FPA overloads 0
% 37.23/37.68 FPA underloads 0
% 37.23/37.68
% 37.23/37.68 Usable size 0
% 37.23/37.68 Sos size 17432
% 37.23/37.68 Demodulators size 17429
% 37.23/37.68 Passive size 0
% 37.23/37.68 Disabled size 4272
% 37.23/37.68
% 37.23/37.68 Proofs found 1
% 37.23/37.68
% 37.23/37.68 ----------- times (seconds) ----------- Wed Jun 1 21:16:48 2022
% 37.23/37.68
% 37.23/37.68 user CPU time 15.03 (0 hr, 0 min, 15 sec)
% 37.23/37.68 system CPU time 21.59 (0 hr, 0 min, 21 sec)
% 37.23/37.68 wall-clock time 37 (0 hr, 0 min, 37 sec)
% 37.23/37.68 input time 0.00
% 37.23/37.68 paramodulation time 6.49
% 37.23/37.68 demodulation time 0.19
% 37.23/37.68 orient time 0.17
% 37.23/37.68 weigh time 0.04
% 37.23/37.68 forward subsume time 0.05
% 37.23/37.68 back demod find time 1.15
% 37.23/37.68 conflict time 0.01
% 37.23/37.68 LRPO time 0.06
% 37.23/37.68 store clause time 1.13
% 37.23/37.68 disable clause time 0.44
% 37.23/37.68 prime paramod time 0.12
% 37.23/37.68 semantics time 0.00
% 37.23/37.68
% 37.23/37.68 EQP interrupted
%------------------------------------------------------------------------------