TSTP Solution File: GRP002-10 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP002-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n020.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 : Sat Jul 16 08:44:09 EDT 2022

% Result   : Unsatisfiable 1.87s 2.27s
% Output   : Refutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   18
% Syntax   : Number of clauses     :  130 ( 130 unt;   0 nHn;  51 RR)
%            Number of literals    :  130 (   0 equ;   3 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;   9 con; 0-4 aty)
%            Number of variables   :  157 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(ifeq2(A,A,B,C),B),
    file('GRP002-10.p',unknown),
    [] ).

cnf(2,plain,
    equal(ifeq(A,A,B,C),B),
    file('GRP002-10.p',unknown),
    [] ).

cnf(3,plain,
    equal(product(identity,A,A),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(4,plain,
    equal(product(A,identity,A),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(5,plain,
    equal(product(inverse(A),A,identity),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(6,plain,
    equal(product(A,inverse(A),identity),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(7,plain,
    equal(product(A,B,multiply(A,B)),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(8,plain,
    equal(ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C),C),
    file('GRP002-10.p',unknown),
    [] ).

cnf(9,plain,
    equal(ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(10,plain,
    equal(ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(11,plain,
    equal(ifeq(product(A,A,B),true,product(A,B,identity),true),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(12,plain,
    equal(ifeq(product(A,A,B),true,product(B,A,identity),true),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(13,plain,
    equal(product(a,b,c),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(14,plain,
    equal(product(c,inverse(a),d),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(15,plain,
    equal(product(d,inverse(b),h),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(16,plain,
    equal(product(h,b,j),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(17,plain,
    equal(product(j,inverse(h),k),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(18,plain,
    ~ equal(product(k,inverse(b),identity),true),
    file('GRP002-10.p',unknown),
    [] ).

cnf(21,plain,
    equal(ifeq2(product(A,identity,B),true,B,A),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8]),1]),
    [iquote('para(4,8),demod([1])')] ).

cnf(28,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)],[7,8]),1]),
    [iquote('para(7,8),demod([1])')] ).

cnf(30,plain,
    equal(ifeq(product(A,B,C),true,ifeq(product(D,A,identity),true,product(D,C,B),true),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,9]),2]),
    [iquote('para(3,9),demod([2])')] ).

cnf(39,plain,
    equal(ifeq(product(A,B,C),true,ifeq(product(D,inverse(B),A),true,product(D,identity,C),true),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,9]),2]),
    [iquote('para(5,9),demod([2])')] ).

cnf(46,plain,
    equal(ifeq(product(A,B,C),true,ifeq(product(D,A,E),true,product(D,C,multiply(E,B)),true),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,9]),2]),
    [iquote('para(7,9),demod([2])')] ).

cnf(55,plain,
    equal(ifeq(product(A,B,identity),true,ifeq(product(C,A,D),true,product(D,B,C),true),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,10]),2]),
    [iquote('para(4,10),demod([2])')] ).

cnf(58,plain,
    equal(ifeq(product(A,identity,B),true,ifeq(product(A,inverse(C),D),true,product(D,C,B),true),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,10]),2]),
    [iquote('para(5,10),demod([2])')] ).

cnf(66,plain,
    equal(ifeq(product(A,multiply(B,C),D),true,ifeq(product(A,B,E),true,product(E,C,D),true),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,10]),2]),
    [iquote('para(7,10),demod([2])')] ).

cnf(73,plain,
    equal(product(A,multiply(A,A),identity),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,11]),2]),
    [iquote('para(7,11),demod([2])')] ).

cnf(76,plain,
    equal(multiply(A,identity),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,21]),1]),
    [iquote('para(7,21),demod([1])')] ).

cnf(77,plain,
    equal(product(multiply(A,A),A,identity),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,12]),2]),
    [iquote('para(7,12),demod([2])')] ).

cnf(78,plain,
    equal(ifeq2(product(a,b,A),true,A,c),c),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,8]),1]),
    [iquote('para(13,8),demod([1])')] ).

cnf(108,plain,
    equal(ifeq2(product(h,b,A),true,A,j),j),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,8]),1]),
    [iquote('para(16,8),demod([1])')] ).

cnf(128,plain,
    equal(multiply(a,b),c),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,78]),1]),
    [iquote('para(7,78),demod([1])')] ).

cnf(129,plain,
    equal(multiply(h,b),j),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,108]),1]),
    [iquote('para(7,108),demod([1])')] ).

cnf(135,plain,
    equal(multiply(A,multiply(A,A)),identity),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,28]),1]),
    [iquote('para(73,28),demod([1])')] ).

cnf(141,plain,
    equal(ifeq(product(A,inverse(B),identity),true,product(A,identity,B),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,30]),2]),
    [iquote('para(5,30),demod([2])')] ).

cnf(142,plain,
    equal(ifeq(product(A,B,C),true,product(inverse(A),C,B),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,30]),2]),
    [iquote('para(5,30),demod([2])')] ).

cnf(150,plain,
    equal(ifeq(product(A,a,identity),true,product(A,c,b),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,30]),2]),
    [iquote('para(13,30),demod([2])')] ).

cnf(156,plain,
    equal(ifeq(product(A,h,identity),true,product(A,j,b),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,30]),2]),
    [iquote('para(16,30),demod([2])')] ).

cnf(236,plain,
    equal(product(inverse(a),c,b),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,150]),2]),
    [iquote('para(5,150),demod([2])')] ).

cnf(315,plain,
    equal(ifeq(product(h,b,A),true,product(d,identity,A),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,39]),2]),
    [iquote('para(15,39),demod([2])')] ).

cnf(318,plain,
    equal(ifeq(product(k,h,A),true,product(j,identity,A),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,39]),2]),
    [iquote('para(17,39),demod([2])')] ).

cnf(324,plain,
    equal(product(d,identity,j),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,315]),2]),
    [iquote('para(16,315),demod([2])')] ).

cnf(330,plain,
    equal(j,d),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[324,21]),1]),
    [iquote('para(324,21),demod([1])')] ).

cnf(333,plain,
    equal(ifeq(product(k,h,A),true,product(d,identity,A),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[318]),330]),
    [iquote('back_demod(318),demod([330])')] ).

cnf(372,plain,
    equal(ifeq(product(A,h,identity),true,product(A,d,b),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[156]),330]),
    [iquote('back_demod(156),demod([330])')] ).

cnf(374,plain,
    equal(multiply(h,b),d),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[129]),330]),
    [iquote('back_demod(129),demod([330])')] ).

cnf(433,plain,
    equal(ifeq(product(A,B,C),true,product(A,multiply(B,D),multiply(C,D)),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,46]),2]),
    [iquote('para(7,46),demod([2])')] ).

cnf(434,plain,
    equal(ifeq(product(A,B,C),true,product(D,C,multiply(multiply(D,A),B)),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,46]),2]),
    [iquote('para(7,46),demod([2])')] ).

cnf(521,plain,
    equal(ifeq(product(A,B,C),true,product(C,inverse(B),A),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,55]),2]),
    [iquote('para(6,55),demod([2])')] ).

cnf(523,plain,
    equal(ifeq(product(A,B,identity),true,product(multiply(C,A),B,C),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,55]),2]),
    [iquote('para(7,55),demod([2])')] ).

cnf(553,plain,
    equal(ifeq(product(c,identity,A),true,product(d,a,A),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,58]),2]),
    [iquote('para(14,58),demod([2])')] ).

cnf(556,plain,
    equal(product(d,a,c),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,553]),2]),
    [iquote('para(4,553),demod([2])')] ).

cnf(557,plain,
    equal(multiply(d,a),c),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[556,28]),1]),
    [iquote('para(556,28),demod([1])')] ).

cnf(573,plain,
    equal(product(inverse(d),c,a),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[556,142]),2]),
    [iquote('para(556,142),demod([2])')] ).

cnf(623,plain,
    equal(ifeq(product(A,B,C),true,product(C,D,multiply(A,multiply(B,D))),true),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,66]),2]),
    [iquote('para(7,66),demod([2])')] ).

cnf(633,plain,
    equal(ifeq(product(a,A,identity),true,product(c,A,d),true),true),
    inference(para,[status(thm),theory(equality)],[557,523]),
    [iquote('para(557,523)')] ).

cnf(659,plain,
    equal(product(multiply(a,a),c,b),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[77,150]),2]),
    [iquote('para(77,150),demod([2])')] ).

cnf(660,plain,
    equal(multiply(multiply(a,a),c),b),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[659,28]),1]),
    [iquote('para(659,28),demod([1])')] ).

cnf(662,plain,
    equal(product(d,identity,multiply(k,h)),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,333]),2]),
    [iquote('para(7,333),demod([2])')] ).

cnf(663,plain,
    equal(multiply(k,h),d),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[662,21]),1]),
    [iquote('para(662,21),demod([1])')] ).

cnf(841,plain,
    equal(product(multiply(h,h),d,b),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[77,372]),2]),
    [iquote('para(77,372),demod([2])')] ).

cnf(843,plain,
    equal(multiply(multiply(h,h),d),b),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[841,28]),1]),
    [iquote('para(841,28),demod([1])')] ).

cnf(864,plain,
    equal(product(c,multiply(a,a),d),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,633]),2]),
    [iquote('para(73,633),demod([2])')] ).

cnf(865,plain,
    equal(multiply(c,multiply(a,a)),d),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[864,28]),1]),
    [iquote('para(864,28),demod([1])')] ).

cnf(895,plain,
    equal(product(inverse(inverse(A)),identity,A),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,141]),2]),
    [iquote('para(5,141),demod([2])')] ).

cnf(896,plain,
    equal(inverse(inverse(A)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[895,21]),1]),1]),
    [iquote('para(895,21),demod([1]),flip(1)')] ).

cnf(980,plain,
    equal(product(b,inverse(c),inverse(a)),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[236,521]),2]),
    [iquote('para(236,521),demod([2])')] ).

cnf(981,plain,
    equal(multiply(b,inverse(c)),inverse(a)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[980,28]),1]),
    [iquote('para(980,28),demod([1])')] ).

cnf(984,plain,
    equal(product(a,inverse(c),inverse(d)),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[573,521]),2]),
    [iquote('para(573,521),demod([2])')] ).

cnf(985,plain,
    equal(inverse(d),multiply(a,inverse(c))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[984,28]),1]),1]),
    [iquote('para(984,28),demod([1]),flip(1)')] ).

cnf(1062,plain,
    equal(product(multiply(inverse(A),inverse(A)),identity,A),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[77,141]),2]),
    [iquote('para(77,141),demod([2])')] ).

cnf(1063,plain,
    equal(product(multiply(A,A),identity,inverse(A)),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[896,1062]),896]),
    [iquote('para(896,1062),demod([896])')] ).

cnf(1065,plain,
    equal(product(inverse(A),multiply(A,B),B),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,142]),2]),
    [iquote('para(7,142),demod([2])')] ).

cnf(1067,plain,
    equal(product(A,multiply(inverse(A),B),B),true),
    inference(para,[status(thm),theory(equality)],[896,1065]),
    [iquote('para(896,1065)')] ).

cnf(1104,plain,
    equal(inverse(A),multiply(A,A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1063,21]),1]),
    [iquote('para(1063,21),demod([1])')] ).

cnf(1137,plain,
    equal(product(A,multiply(multiply(A,A),B),B),true),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1067]),1104]),
    [iquote('back_demod(1067),demod([1104])')] ).

cnf(1197,plain,
    equal(multiply(d,d),multiply(a,multiply(c,c))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[985]),1104,1104]),
    [iquote('back_demod(985),demod([1104,1104])')] ).

cnf(1199,plain,
    equal(multiply(b,multiply(c,c)),multiply(a,a)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[981]),1104,1104]),
    [iquote('back_demod(981),demod([1104,1104])')] ).

cnf(1216,plain,
    equal(multiply(multiply(A,A),multiply(A,A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[896]),1104,1104]),
    [iquote('back_demod(896),demod([1104,1104])')] ).

cnf(1347,plain,
    ~ equal(product(k,multiply(b,b),identity),true),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[18]),1104]),
    [iquote('back_demod(18),demod([1104])')] ).

cnf(1381,plain,
    equal(multiply(A,multiply(multiply(A,A),B)),B),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1137,28]),1]),
    [iquote('para(1137,28),demod([1])')] ).

cnf(1383,plain,
    equal(multiply(multiply(A,A),multiply(A,B)),B),
    inference(para,[status(thm),theory(equality)],[1216,1381]),
    [iquote('para(1216,1381)')] ).

cnf(1656,plain,
    equal(product(A,multiply(B,C),multiply(multiply(A,B),C)),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,433]),2]),
    [iquote('para(7,433),demod([2])')] ).

cnf(1658,plain,
    equal(product(a,multiply(b,A),multiply(c,A)),true),
    inference(para,[status(thm),theory(equality)],[128,1656]),
    [iquote('para(128,1656)')] ).

cnf(1660,plain,
    equal(product(A,d,multiply(multiply(A,h),b)),true),
    inference(para,[status(thm),theory(equality)],[374,1656]),
    [iquote('para(374,1656)')] ).

cnf(1661,plain,
    equal(product(h,multiply(b,A),multiply(d,A)),true),
    inference(para,[status(thm),theory(equality)],[374,1656]),
    [iquote('para(374,1656)')] ).

cnf(1664,plain,
    equal(product(A,c,multiply(multiply(A,d),a)),true),
    inference(para,[status(thm),theory(equality)],[557,1656]),
    [iquote('para(557,1656)')] ).

cnf(1669,plain,
    equal(product(k,multiply(h,A),multiply(d,A)),true),
    inference(para,[status(thm),theory(equality)],[663,1656]),
    [iquote('para(663,1656)')] ).

cnf(1673,plain,
    equal(product(A,identity,multiply(multiply(A,B),multiply(B,B))),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,434]),2]),
    [iquote('para(73,434),demod([2])')] ).

cnf(1690,plain,
    equal(product(a,multiply(a,c),b),true),
    inference(para,[status(thm),theory(equality)],[660,1656]),
    [iquote('para(660,1656)')] ).

cnf(1699,plain,
    equal(product(c,multiply(multiply(a,a),A),multiply(d,A)),true),
    inference(para,[status(thm),theory(equality)],[865,1656]),
    [iquote('para(865,1656)')] ).

cnf(1742,plain,
    equal(multiply(a,multiply(a,c)),b),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1690,28]),1]),
    [iquote('para(1690,28),demod([1])')] ).

cnf(1743,plain,
    equal(multiply(multiply(a,a),b),multiply(a,c)),
    inference(para,[status(thm),theory(equality)],[1742,1383]),
    [iquote('para(1742,1383)')] ).

cnf(1802,plain,
    equal(product(A,multiply(A,multiply(A,B)),B),true),
    inference(para,[status(thm),theory(equality)],[1383,1656]),
    [iquote('para(1383,1656)')] ).

cnf(1876,plain,
    equal(product(c,multiply(a,c),multiply(d,b)),true),
    inference(para,[status(thm),theory(equality)],[1743,1699]),
    [iquote('para(1743,1699)')] ).

cnf(2003,plain,
    equal(product(multiply(A,B),C,multiply(A,multiply(B,C))),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,623]),2]),
    [iquote('para(7,623),demod([2])')] ).

cnf(2190,plain,
    equal(product(multiply(b,c),c,multiply(a,a)),true),
    inference(para,[status(thm),theory(equality)],[1199,2003]),
    [iquote('para(1199,2003)')] ).

cnf(2206,plain,
    equal(product(A,B,multiply(multiply(C,C),multiply(multiply(C,A),B))),true),
    inference(para,[status(thm),theory(equality)],[1383,2003]),
    [iquote('para(1383,2003)')] ).

cnf(2367,plain,
    equal(multiply(c,A),multiply(a,multiply(b,A))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1658,28]),1]),1]),
    [iquote('para(1658,28),demod([1]),flip(1)')] ).

cnf(2663,plain,
    equal(multiply(d,d),multiply(a,multiply(a,multiply(b,c)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1197]),2367]),
    [iquote('back_demod(1197),demod([2367])')] ).

cnf(2785,plain,
    equal(multiply(multiply(A,B),multiply(B,B)),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1673,21]),1]),
    [iquote('para(1673,21),demod([1])')] ).

cnf(2786,plain,
    equal(multiply(h,h),multiply(b,multiply(a,multiply(a,multiply(b,c))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[843,2785]),2663]),1]),
    [iquote('para(843,2785),demod([2663]),flip(1)')] ).

cnf(2940,plain,
    equal(multiply(multiply(b,multiply(a,multiply(a,multiply(b,c)))),d),b),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[843]),2786]),
    [iquote('back_demod(843),demod([2786])')] ).

cnf(3051,plain,
    equal(multiply(multiply(A,multiply(B,B)),B),A),
    inference(para,[status(thm),theory(equality)],[1383,2785]),
    [iquote('para(1383,2785)')] ).

cnf(3162,plain,
    equal(multiply(multiply(A,h),b),multiply(A,d)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1660,28]),1]),1]),
    [iquote('para(1660,28),demod([1]),flip(1)')] ).

cnf(3164,plain,
    equal(multiply(multiply(A,d),multiply(b,b)),multiply(A,h)),
    inference(para,[status(thm),theory(equality)],[3162,2785]),
    [iquote('para(3162,2785)')] ).

cnf(3201,plain,
    equal(multiply(h,multiply(b,A)),multiply(d,A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1661,28]),1]),
    [iquote('para(1661,28),demod([1])')] ).

cnf(3202,plain,
    equal(multiply(d,multiply(multiply(b,b),A)),multiply(h,A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1381,3201]),1]),
    [iquote('para(1381,3201),flip(1)')] ).

cnf(3234,plain,
    equal(multiply(multiply(A,d),a),multiply(A,c)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1664,28]),1]),1]),
    [iquote('para(1664,28),demod([1]),flip(1)')] ).

cnf(3236,plain,
    equal(multiply(multiply(A,c),multiply(a,a)),multiply(A,d)),
    inference(para,[status(thm),theory(equality)],[3234,2785]),
    [iquote('para(3234,2785)')] ).

cnf(3302,plain,
    equal(multiply(k,multiply(h,A)),multiply(d,A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1669,28]),1]),
    [iquote('para(1669,28),demod([1])')] ).

cnf(3306,plain,
    equal(multiply(k,multiply(d,A)),multiply(d,multiply(b,A))),
    inference(para,[status(thm),theory(equality)],[3201,3302]),
    [iquote('para(3201,3302)')] ).

cnf(3311,plain,
    equal(multiply(multiply(d,multiply(b,d)),d),k),
    inference(para,[status(thm),theory(equality)],[3306,3051]),
    [iquote('para(3306,3051)')] ).

cnf(3399,plain,
    equal(multiply(A,multiply(A,multiply(A,B))),B),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1802,28]),1]),
    [iquote('para(1802,28),demod([1])')] ).

cnf(3403,plain,
    equal(multiply(multiply(A,A),B),multiply(A,multiply(A,B))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1381,3399]),1]),
    [iquote('para(1381,3399),flip(1)')] ).

cnf(3423,plain,
    equal(multiply(h,A),multiply(d,multiply(b,multiply(b,A)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3202]),3403]),1]),
    [iquote('back_demod(3202),demod([3403]),flip(1)')] ).

cnf(3598,plain,
    equal(multiply(d,multiply(b,multiply(b,h))),multiply(b,multiply(a,multiply(a,multiply(b,c))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2786]),3423]),
    [iquote('back_demod(2786),demod([3423])')] ).

cnf(3781,plain,
    equal(product(A,B,multiply(C,multiply(C,multiply(multiply(C,A),B)))),true),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2206]),3403]),
    [iquote('back_demod(2206),demod([3403])')] ).

cnf(3980,plain,
    equal(multiply(d,b),multiply(a,multiply(b,multiply(a,c)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1876,28]),2367,1]),1]),
    [iquote('para(1876,28),demod([2367,1]),flip(1)')] ).

cnf(4131,plain,
    equal(multiply(multiply(a,multiply(b,multiply(a,c))),multiply(b,b)),d),
    inference(para,[status(thm),theory(equality)],[3980,2785]),
    [iquote('para(3980,2785)')] ).

cnf(4141,plain,
    equal(multiply(multiply(b,c),c),multiply(a,a)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2190,28]),1]),
    [iquote('para(2190,28),demod([1])')] ).

cnf(4151,plain,
    equal(multiply(multiply(b,c),d),a),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4141,3236]),3403,135,76]),1]),
    [iquote('para(4141,3236),demod([3403,135,76]),flip(1)')] ).

cnf(4229,plain,
    equal(product(d,A,multiply(multiply(b,c),multiply(multiply(b,c),multiply(a,A)))),true),
    inference(para,[status(thm),theory(equality)],[4151,3781]),
    [iquote('para(4151,3781)')] ).

cnf(4239,plain,
    equal(product(d,b,multiply(b,d)),true),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[128,4229]),4141,3236]),
    [iquote('para(128,4229),demod([4141,3236])')] ).

cnf(4240,plain,
    equal(multiply(a,multiply(b,multiply(a,c))),multiply(b,d)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4239,28]),3980,1]),
    [iquote('para(4239,28),demod([3980,1])')] ).

cnf(4250,plain,
    equal(multiply(b,h),d),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4131]),4240,3164]),
    [iquote('back_demod(4131),demod([4240,3164])')] ).

cnf(4264,plain,
    equal(multiply(d,multiply(b,d)),multiply(b,multiply(a,multiply(a,multiply(b,c))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3598]),4250]),
    [iquote('back_demod(3598),demod([4250])')] ).

cnf(4283,plain,
    equal(k,b),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3311]),4264,2940]),1]),
    [iquote('back_demod(3311),demod([4264,2940]),flip(1)')] ).

cnf(4841,plain,
    ~ equal(true,true),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1347]),4283,73]),
    [iquote('back_demod(1347),demod([4283,73])')] ).

cnf(4842,plain,
    $false,
    inference(conflict,[status(thm)],[4841]),
    [iquote('xx_conflict(4841)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP002-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jun 13 17:38:20 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.87/2.27  ----- EQP 0.9e, May 2009 -----
% 1.87/2.27  The job began on n020.cluster.edu, Mon Jun 13 17:38:20 2022
% 1.87/2.27  The command was "./eqp09e".
% 1.87/2.27  
% 1.87/2.27  set(prolog_style_variables).
% 1.87/2.27  set(lrpo).
% 1.87/2.27  set(basic_paramod).
% 1.87/2.27  set(functional_subsume).
% 1.87/2.27  set(ordered_paramod).
% 1.87/2.27  set(prime_paramod).
% 1.87/2.27  set(para_pairs).
% 1.87/2.27  assign(pick_given_ratio,4).
% 1.87/2.27  clear(print_kept).
% 1.87/2.27  clear(print_new_demod).
% 1.87/2.27  clear(print_back_demod).
% 1.87/2.27  clear(print_given).
% 1.87/2.27  assign(max_mem,64000).
% 1.87/2.27  end_of_commands.
% 1.87/2.27  
% 1.87/2.27  Usable:
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  Sos:
% 1.87/2.27  0 (wt=-1) [] ifeq2(A,A,B,C) = B.
% 1.87/2.27  0 (wt=-1) [] ifeq(A,A,B,C) = B.
% 1.87/2.27  0 (wt=-1) [] product(identity,A,A) = true.
% 1.87/2.27  0 (wt=-1) [] product(A,identity,A) = true.
% 1.87/2.27  0 (wt=-1) [] product(inverse(A),A,identity) = true.
% 1.87/2.27  0 (wt=-1) [] product(A,inverse(A),identity) = true.
% 1.87/2.27  0 (wt=-1) [] product(A,B,multiply(A,B)) = true.
% 1.87/2.27  0 (wt=-1) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 1.87/2.27  0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 1.87/2.27  0 (wt=-1) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 1.87/2.27  0 (wt=-1) [] ifeq(product(A,A,B),true,product(A,B,identity),true) = true.
% 1.87/2.27  0 (wt=-1) [] ifeq(product(A,A,B),true,product(B,A,identity),true) = true.
% 1.87/2.27  0 (wt=-1) [] product(a,b,c) = true.
% 1.87/2.27  0 (wt=-1) [] product(c,inverse(a),d) = true.
% 1.87/2.27  0 (wt=-1) [] product(d,inverse(b),h) = true.
% 1.87/2.27  0 (wt=-1) [] product(h,b,j) = true.
% 1.87/2.27  0 (wt=-1) [] product(j,inverse(h),k) = true.
% 1.87/2.27  0 (wt=-1) [] -(product(k,inverse(b),identity) = true).
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  Demodulators:
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  Passive:
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  Starting to process input.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 1.87/2.27  1 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 1.87/2.27  2 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 3 (wt=6) [] product(identity,A,A) = true.
% 1.87/2.27  3 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 4 (wt=6) [] product(A,identity,A) = true.
% 1.87/2.27  4 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 5 (wt=7) [] product(inverse(A),A,identity) = true.
% 1.87/2.27  5 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 6 (wt=7) [] product(A,inverse(A),identity) = true.
% 1.87/2.27  6 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 7 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 1.87/2.27  7 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 8 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 1.87/2.27  8 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 9 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 1.87/2.27  9 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 10 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 1.87/2.27  10 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 11 (wt=13) [] ifeq(product(A,A,B),true,product(A,B,identity),true) = true.
% 1.87/2.27  11 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 12 (wt=13) [] ifeq(product(A,A,B),true,product(B,A,identity),true) = true.
% 1.87/2.27  12 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 13 (wt=6) [] product(a,b,c) = true.
% 1.87/2.27  13 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 14 (wt=7) [] product(c,inverse(a),d) = true.
% 1.87/2.27  14 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 15 (wt=7) [] product(d,inverse(b),h) = true.
% 1.87/2.27  15 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 16 (wt=6) [] product(h,b,j) = true.
% 1.87/2.27  16 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 17 (wt=7) [] product(j,inverse(h),k) = true.
% 1.87/2.27  17 is a new demodulator.
% 1.87/2.27  
% 1.87/2.27  ** KEPT: 18 (wt=7) [] -(product(k,inverse(b),identity) = true).
% 1.87/2.27  ---------------- PROOF FOUND ----------------
% 1.87/2.27  % SZS status Unsatisfiable
% 1.87/2.27  
% 1.87/2.27  
% 1.87/2.27  After processing input:
% 1.87/2.27  
% 1.87/2.27  Usable:
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  Sos:
% 1.87/2.27  3 (wt=6) [] product(identity,A,A) = true.
% 1.87/2.27  4 (wt=6) [] product(A,identity,A) = true.
% 1.87/2.27  13 (wt=6) [] product(a,b,c) = true.
% 1.87/2.27  16 (wt=6) [] product(h,b,j) = true.
% 1.87/2.27  1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 1.87/2.27  2 (wt=7) [] ifeq(A,A,B,C) = B.
% 1.87/2.27  5 (wt=7) [] product(inverse(A),A,identity) = true.
% 1.87/2.27  6 (wt=7) [] product(A,inverse(A),identity) = true.
% 1.87/2.27  14 (wt=7) [] product(c,inverse(a),d) = true.
% 1.87/2.27  15 (wt=7) [] product(d,inverse(b),h) = true.
% 1.87/2.27  17 (wt=7) [] product(j,inverse(h),k) = true.
% 1.87/2.27  18 (wt=7) [] -(product(k,inverse(b),identity) = true).
% 1.87/2.27  7 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 1.87/2.27  11 (wt=13) [] ifeq(product(A,A,B),true,product(A,B,identity),true) = true.
% 1.87/2.27  12 (wt=13) [] ifeq(product(A,A,B),true,product(B,A,identity),true) = true.
% 1.87/2.27  8 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 1.87/2.27  9 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 1.87/2.27  10 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  Demodulators:
% 1.87/2.27  1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 1.87/2.27  2 (wt=7) [] ifeq(A,A,B,C) = B.
% 1.87/2.27  3 (wt=6) [] product(identity,A,A) = true.
% 1.87/2.27  4 (wt=6) [] product(A,identity,A) = true.
% 1.87/2.27  5 (wt=7) [] product(inverse(A),A,identity) = true.
% 1.87/2.27  6 (wt=7) [] product(A,inverse(A),identity) = true.
% 1.87/2.27  7 (wt=8) [] product(A,B,multiply(A,B)) = true.
% 1.87/2.27  8 (wt=17) [] ifeq2(product(A,B,C),true,ifeq2(product(A,B,D),true,D,C),C) = C.
% 1.87/2.27  9 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,B,E),true,ifeq(product(F,D,A),true,product(F,E,C),true),true),true) = true.
% 1.87/2.27  10 (wt=27) [] ifeq(product(A,B,C),true,ifeq(product(D,C,E),true,ifeq(product(D,A,F),true,product(F,B,E),true),true),true) = true.
% 1.87/2.27  11 (wt=13) [] ifeq(product(A,A,B),true,product(A,B,identity),true) = true.
% 1.87/2.27  12 (wt=13) [] ifeq(product(A,A,B),true,product(B,A,identity),true) = true.
% 1.87/2.27  13 (wt=6) [] product(a,b,c) = true.
% 1.87/2.27  14 (wt=7) [] product(c,inverse(a),d) = true.
% 1.87/2.27  15 (wt=7) [] product(d,inverse(b),h) = true.
% 1.87/2.27  16 (wt=6) [] product(h,b,j) = true.
% 1.87/2.27  17 (wt=7) [] product(j,inverse(h),k) = true.
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  Passive:
% 1.87/2.27  end_of_list.
% 1.87/2.27  
% 1.87/2.27  UNIT CONFLICT from 4841 and x=x at   0.45 seconds.
% 1.87/2.27  
% 1.87/2.27  ---------------- PROOF ----------------
% 1.87/2.27  % SZS output start Refutation
% See solution above
% 1.87/2.27  ------------ end of proof -------------
% 1.87/2.27  
% 1.87/2.27  
% 1.87/2.27  ------------- memory usage ------------
% 1.87/2.27  Memory dynamically allocated (tp_alloc): 5371.
% 1.87/2.27    type (bytes each)        gets      frees     in use      avail      bytes
% 1.87/2.27  sym_ent (  96)               71          0         71          0      6.7 K
% 1.87/2.27  term (  16)              348927     271588      77339         37   1492.4 K
% 1.87/2.27  gen_ptr (   8)           500483     175386     325097        129   2540.8 K
% 1.87/2.27  context ( 808)          3028675    3028673          2          5      5.5 K
% 1.87/2.27  trail (  12)              15983      15983          0          6      0.1 K
% 1.87/2.27  bt_node (  68)          2143758    2143754          4         21      1.7 K
% 1.87/2.27  ac_position (285432)          0          0          0          0      0.0 K
% 1.87/2.27  ac_match_pos (14044)          0          0          0          0      0.0 K
% 1.87/2.27  ac_match_free_vars_pos (4020)
% 1.87/2.27                                0          0          0          0      0.0 K
% 1.87/2.27  discrim (  12)            74297      51737      22560       5256    326.0 K
% 1.87/2.27  flat (  40)              676346     676346          0         30      1.2 K
% 1.87/2.27  discrim_pos (  12)        23409      23409          0          1      0.0 K
% 1.87/2.27  fpa_head (  12)            4366          0       4366          0     51.2 K
% 1.87/2.27  fpa_tree (  28)           60479      60479          0         31      0.8 K
% 1.87/2.27  fpa_pos (  36)             9678       9678          0          1      0.0 K
% 1.87/2.27  literal (  12)            20117      15276       4841          0     56.7 K
% 1.87/2.27  clause (  24)             20117      15276       4841          0    113.5 K
% 1.87/2.27  list (  12)                4897       4837         60          3      0.7 K
% 1.87/2.27  list_pos (  20)           26568      17229       9339        587    193.9 K
% 1.87/2.27  pair_index (   40)              2          0          2          0      0.1 K
% 1.87/2.27  
% 1.87/2.27  -------------- statistics -------------
% 1.87/2.27  Clauses input                 18
% 1.87/2.27    Usable input                   0
% 1.87/2.27    Sos input                     18
% 1.87/2.27    Demodulators input             0
% 1.87/2.27    Passive input                  0
% 1.87/2.27  
% 1.87/2.27  Processed BS (before search)  18
% 1.87/2.27  Forward subsumed BS            0
% 1.87/2.27  Kept BS                       18
% 1.87/2.27  New demodulators BS           17
% 1.87/2.27  Back demodulated BS            0
% 1.87/2.27  
% 1.87/2.27  Clauses or pairs given    159608
% 1.87/2.27  Clauses generated          15254
% 1.87/2.27  Forward subsumed           10431
% 1.87/2.27  Deleted by weight              0
% 1.87/2.27  Deleted by variable count      0
% 1.87/2.27  Kept                        4823
% 1.87/2.27  New demodulators            4821
% 1.87/2.27  Back demodulated            3402
% 1.87/2.27  Ordered paramod prunes         0
% 1.87/2.27  Basic paramod prunes      655843
% 1.87/2.27  Prime paramod prunes        1708
% 1.87/2.27  Semantic prunes                0
% 1.87/2.27  
% 1.87/2.27  Rewrite attmepts          210252
% 1.87/2.27  Rewrites                   21701
% 1.87/2.27  
% 1.87/2.27  FPA overloads                  0
% 1.87/2.27  FPA underloads                 0
% 1.87/2.27  
% 1.87/2.27  Usable size                    0
% 1.87/2.27  Sos size                    1438
% 1.87/2.27  Demodulators size           1438
% 1.87/2.27  Passive size                   0
% 1.87/2.27  Disabled size               3402
% 1.87/2.27  
% 1.87/2.27  Proofs found                   1
% 1.87/2.27  
% 1.87/2.27  ----------- times (seconds) ----------- Mon Jun 13 17:38:22 2022
% 1.87/2.27  
% 1.87/2.27  user CPU time             0.45   (0 hr, 0 min, 0 sec)
% 1.87/2.27  system CPU time           0.65   (0 hr, 0 min, 0 sec)
% 1.87/2.27  wall-clock time           2      (0 hr, 0 min, 2 sec)
% 1.87/2.27  input time                0.00
% 1.87/2.27  paramodulation time       0.12
% 1.87/2.27  demodulation time         0.02
% 1.87/2.27  orient time               0.02
% 1.87/2.27  weigh time                0.01
% 1.87/2.27  forward subsume time      0.01
% 1.87/2.27  back demod find time      0.02
% 1.87/2.27  conflict time             0.01
% 1.87/2.27  LRPO time                 0.01
% 1.87/2.27  store clause time         0.04
% 1.87/2.27  disable clause time       0.03
% 1.87/2.27  prime paramod time        0.01
% 1.87/2.27  semantics time            0.00
% 1.87/2.27  
% 1.87/2.27  EQP interrupted
%------------------------------------------------------------------------------