TSTP Solution File: BOO026-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : BOO026-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n018.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 23:37:09 EDT 2022

% Result   : Unsatisfiable 0.97s 1.34s
% Output   : Refutation 0.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :    5
% Syntax   : Number of clauses     :  218 ( 218 unt;   0 nHn;  46 RR)
%            Number of literals    :  218 (   0 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  254 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(multiply(A,add(B,C)),add(multiply(B,A),multiply(C,A))),
    file('BOO026-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(add(multiply(A,B),multiply(C,B)),multiply(B,add(A,C))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(3,plain,
    equal(add(A,inverse(A)),n1),
    file('BOO026-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(multiply(add(A,B),add(C,B)),add(B,multiply(A,C))),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(5,plain,
    equal(multiply(A,inverse(A)),n0),
    file('BOO026-1.p',unknown),
    [] ).

cnf(6,plain,
    equal(add(n0,add(multiply(A,B),multiply(inverse(A),B))),B),
    inference(demod,[status(thm),theory(equality)],[5]),
    [iquote('demod([5])')] ).

cnf(7,plain,
    equal(add(multiply(A,inverse(B)),add(multiply(A,B),multiply(inverse(B),B))),A),
    file('BOO026-1.p',unknown),
    [] ).

cnf(9,plain,
    equal(multiply(n1,add(A,n0)),A),
    inference(demod,[status(thm),theory(equality)],[3,4,5]),
    [iquote('demod([3,4,5])')] ).

cnf(12,plain,
    ~ equal(multiply(add(a,b),b),b),
    file('BOO026-1.p',unknown),
    [] ).

cnf(13,plain,
    equal(multiply(A,multiply(B,add(C,D))),add(multiply(multiply(C,B),A),multiply(multiply(D,B),A))),
    inference(para,[status(thm),theory(equality)],[2,1]),
    [iquote('para(2,1)')] ).

cnf(15,plain,
    equal(add(add(multiply(A,B),multiply(C,B)),multiply(D,add(A,C))),multiply(add(A,C),add(B,D))),
    inference(para,[status(thm),theory(equality)],[1,2]),
    [iquote('para(1,2)')] ).

cnf(20,plain,
    equal(add(n0,add(multiply(A,inverse(inverse(A))),n0)),inverse(inverse(A))),
    inference(para,[status(thm),theory(equality)],[5,6]),
    [iquote('para(5,6)')] ).

cnf(22,plain,
    equal(multiply(A,n1),add(multiply(B,A),multiply(inverse(B),A))),
    inference(para,[status(thm),theory(equality)],[3,1]),
    [iquote('para(3,1)')] ).

cnf(23,plain,
    equal(add(multiply(A,B),multiply(inverse(A),B)),multiply(B,n1)),
    inference(flip,[status(thm),theory(equality)],[22]),
    [iquote('flip(22)')] ).

cnf(24,plain,
    equal(add(n0,multiply(inverse(A),inverse(A))),multiply(inverse(A),n1)),
    inference(para,[status(thm),theory(equality)],[5,23]),
    [iquote('para(5,23)')] ).

cnf(26,plain,
    equal(multiply(inverse(inverse(A)),n1),add(multiply(A,inverse(inverse(A))),n0)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,23]),1]),
    [iquote('para(5,23),flip(1)')] ).

cnf(27,plain,
    equal(add(A,multiply(B,C)),add(multiply(C,add(B,A)),multiply(A,add(B,A)))),
    inference(para,[status(thm),theory(equality)],[4,1]),
    [iquote('para(4,1)')] ).

cnf(28,plain,
    equal(add(multiply(A,add(B,C)),multiply(C,add(B,C))),add(C,multiply(B,A))),
    inference(flip,[status(thm),theory(equality)],[27]),
    [iquote('flip(27)')] ).

cnf(33,plain,
    equal(multiply(multiply(A,add(B,C)),add(D,multiply(C,A))),add(multiply(C,A),multiply(multiply(B,A),D))),
    inference(para,[status(thm),theory(equality)],[2,4]),
    [iquote('para(2,4)')] ).

cnf(39,plain,
    equal(multiply(n1,add(A,inverse(B))),add(inverse(B),multiply(B,A))),
    inference(para,[status(thm),theory(equality)],[3,4]),
    [iquote('para(3,4)')] ).

cnf(40,plain,
    equal(add(inverse(A),multiply(A,B)),multiply(n1,add(B,inverse(A)))),
    inference(flip,[status(thm),theory(equality)],[39]),
    [iquote('flip(39)')] ).

cnf(41,plain,
    equal(multiply(add(A,inverse(B)),n1),add(inverse(B),multiply(A,B))),
    inference(para,[status(thm),theory(equality)],[3,4]),
    [iquote('para(3,4)')] ).

cnf(42,plain,
    equal(add(n0,multiply(A,inverse(B))),multiply(inverse(B),add(B,A))),
    inference(para,[status(thm),theory(equality)],[5,2]),
    [iquote('para(5,2)')] ).

cnf(43,plain,
    equal(multiply(inverse(A),add(A,B)),add(n0,multiply(B,inverse(A)))),
    inference(flip,[status(thm),theory(equality)],[42]),
    [iquote('flip(42)')] ).

cnf(44,plain,
    equal(add(multiply(A,inverse(B)),n0),multiply(inverse(B),add(A,B))),
    inference(para,[status(thm),theory(equality)],[5,2]),
    [iquote('para(5,2)')] ).

cnf(45,plain,
    equal(multiply(inverse(A),add(B,A)),add(multiply(B,inverse(A)),n0)),
    inference(flip,[status(thm),theory(equality)],[44]),
    [iquote('flip(44)')] ).

cnf(46,plain,
    equal(multiply(A,B),add(multiply(n0,A),multiply(add(multiply(C,B),multiply(inverse(C),B)),A))),
    inference(para,[status(thm),theory(equality)],[6,1]),
    [iquote('para(6,1)')] ).

cnf(50,plain,
    equal(add(n0,multiply(A,n1)),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,6]),3]),
    [iquote('para(2,6),demod([3])')] ).

cnf(55,plain,
    equal(add(inverse(A),multiply(A,A)),multiply(n1,n1)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,39]),1]),
    [iquote('para(3,39),flip(1)')] ).

cnf(60,plain,
    equal(add(multiply(A,inverse(B)),multiply(B,add(A,inverse(B)))),A),
    inference(para,[status(thm),theory(equality)],[2,7]),
    [iquote('para(2,7)')] ).

cnf(61,plain,
    equal(multiply(n1,add(inverse(A),inverse(A))),add(inverse(A),n0)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,40]),1]),
    [iquote('para(5,40),flip(1)')] ).

cnf(65,plain,
    equal(multiply(inverse(A),add(A,A)),add(n0,n0)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,42]),1]),
    [iquote('para(5,42),flip(1)')] ).

cnf(66,plain,
    equal(add(multiply(A,inverse(inverse(A))),add(n0,multiply(inverse(inverse(A)),inverse(A)))),A),
    inference(para,[status(thm),theory(equality)],[5,7]),
    [iquote('para(5,7)')] ).

cnf(72,plain,
    equal(add(multiply(A,n1),multiply(n0,n1)),A),
    inference(para,[status(thm),theory(equality)],[1,9]),
    [iquote('para(1,9)')] ).

cnf(76,plain,
    equal(multiply(inverse(multiply(n0,n1)),n0),add(n0,n0)),
    inference(para,[status(thm),theory(equality)],[72,65]),
    [iquote('para(72,65)')] ).

cnf(83,plain,
    equal(multiply(A,B),add(multiply(n0,A),multiply(multiply(B,n1),A))),
    inference(para,[status(thm),theory(equality)],[50,1]),
    [iquote('para(50,1)')] ).

cnf(84,plain,
    equal(add(multiply(n0,A),multiply(multiply(B,n1),A)),multiply(A,B)),
    inference(flip,[status(thm),theory(equality)],[83]),
    [iquote('flip(83)')] ).

cnf(85,plain,
    equal(add(multiply(n0,A),multiply(multiply(inverse(A),n1),A)),n0),
    inference(para,[status(thm),theory(equality)],[83,5]),
    [iquote('para(83,5)')] ).

cnf(94,plain,
    equal(multiply(inverse(multiply(A,n1)),A),add(multiply(n0,inverse(multiply(A,n1))),n0)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,84]),1]),
    [iquote('para(5,84),flip(1)')] ).

cnf(95,plain,
    equal(add(multiply(n0,inverse(multiply(n0,n1))),n0),add(n0,n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[76]),94]),
    [iquote('back_demod(76),demod([94])')] ).

cnf(96,plain,
    equal(multiply(n0,inverse(multiply(n0,n1))),n0),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[95,9]),9]),1]),
    [iquote('para(95,9),demod([9]),flip(1)')] ).

cnf(101,plain,
    equal(add(n0,multiply(add(multiply(multiply(n0,n1),inverse(inverse(multiply(n0,n1)))),n0),inverse(multiply(n0,n1)))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,85]),26]),
    [iquote('para(96,85),demod([26])')] ).

cnf(103,plain,
    equal(multiply(A,add(B,multiply(A,n1))),add(multiply(A,n1),multiply(n0,B))),
    inference(para,[status(thm),theory(equality)],[50,4]),
    [iquote('para(50,4)')] ).

cnf(104,plain,
    equal(add(multiply(A,n1),multiply(n0,B)),multiply(A,add(B,multiply(A,n1)))),
    inference(flip,[status(thm),theory(equality)],[103]),
    [iquote('flip(103)')] ).

cnf(105,plain,
    equal(multiply(add(A,multiply(B,n1)),B),add(multiply(B,n1),multiply(A,n0))),
    inference(para,[status(thm),theory(equality)],[50,4]),
    [iquote('para(50,4)')] ).

cnf(114,plain,
    equal(add(n0,add(inverse(A),multiply(B,A))),add(B,inverse(A))),
    inference(para,[status(thm),theory(equality)],[41,50]),
    [iquote('para(41,50)')] ).

cnf(115,plain,
    equal(add(A,inverse(B)),add(n0,add(inverse(B),multiply(A,B)))),
    inference(flip,[status(thm),theory(equality)],[114]),
    [iquote('flip(114)')] ).

cnf(116,plain,
    equal(add(n0,add(inverse(inverse(A)),n0)),add(A,inverse(inverse(A)))),
    inference(para,[status(thm),theory(equality)],[5,114]),
    [iquote('para(5,114)')] ).

cnf(117,plain,
    equal(multiply(n1,multiply(inverse(A),add(B,A))),multiply(B,inverse(A))),
    inference(para,[status(thm),theory(equality)],[44,9]),
    [iquote('para(44,9)')] ).

cnf(147,plain,
    equal(multiply(A,B),add(multiply(multiply(B,n1),A),multiply(multiply(n0,n1),A))),
    inference(para,[status(thm),theory(equality)],[9,13]),
    [iquote('para(9,13)')] ).

cnf(157,plain,
    equal(add(add(multiply(A,B),multiply(inverse(A),B)),multiply(n0,n1)),B),
    inference(para,[status(thm),theory(equality)],[22,72]),
    [iquote('para(22,72)')] ).

cnf(191,plain,
    equal(multiply(add(A,B),add(C,D)),add(add(multiply(A,C),multiply(B,C)),add(multiply(A,D),multiply(B,D)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,15]),1]),
    [iquote('para(1,15),flip(1)')] ).

cnf(222,plain,
    equal(add(multiply(multiply(inverse(A),n1),A),multiply(multiply(n0,n1),A)),n0),
    inference(para,[status(thm),theory(equality)],[147,5]),
    [iquote('para(147,5)')] ).

cnf(223,plain,
    equal(add(multiply(add(multiply(multiply(n0,n1),inverse(inverse(multiply(n0,n1)))),n0),inverse(multiply(n0,n1))),n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,222]),26]),
    [iquote('para(5,222),demod([26])')] ).

cnf(236,plain,
    equal(add(add(n0,n0),multiply(inverse(inverse(A)),add(A,A))),multiply(add(A,A),n1)),
    inference(para,[status(thm),theory(equality)],[65,23]),
    [iquote('para(65,23)')] ).

cnf(237,plain,
    equal(multiply(add(A,A),n1),add(multiply(A,add(A,A)),add(n0,n0))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[65,23]),1]),
    [iquote('para(65,23),flip(1)')] ).

cnf(238,plain,
    equal(add(add(n0,n0),multiply(inverse(inverse(A)),add(A,A))),add(multiply(A,add(A,A)),add(n0,n0))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[236]),237]),
    [iquote('back_demod(236),demod([237])')] ).

cnf(243,plain,
    equal(add(add(inverse(A),multiply(B,A)),multiply(n0,n1)),add(B,inverse(A))),
    inference(para,[status(thm),theory(equality)],[41,72]),
    [iquote('para(41,72)')] ).

cnf(248,plain,
    equal(add(add(inverse(inverse(A)),n0),multiply(n0,n1)),add(A,inverse(inverse(A)))),
    inference(para,[status(thm),theory(equality)],[5,243]),
    [iquote('para(5,243)')] ).

cnf(249,plain,
    equal(add(add(multiply(n0,A),multiply(multiply(n1,n1),A)),multiply(n0,n1)),A),
    inference(para,[status(thm),theory(equality)],[83,72]),
    [iquote('para(83,72)')] ).

cnf(258,plain,
    equal(multiply(n1,multiply(inverse(multiply(n0,n1)),A)),multiply(multiply(A,n1),inverse(multiply(n0,n1)))),
    inference(para,[status(thm),theory(equality)],[72,117]),
    [iquote('para(72,117)')] ).

cnf(267,plain,
    equal(multiply(A,A),add(multiply(A,n1),multiply(n0,n0))),
    inference(para,[status(thm),theory(equality)],[50,103]),
    [iquote('para(50,103)')] ).

cnf(268,plain,
    equal(add(multiply(A,n1),multiply(n0,n0)),multiply(A,A)),
    inference(flip,[status(thm),theory(equality)],[267]),
    [iquote('flip(267)')] ).

cnf(271,plain,
    equal(add(n0,add(multiply(n1,n1),multiply(n0,n0))),n1),
    inference(para,[status(thm),theory(equality)],[267,50]),
    [iquote('para(267,50)')] ).

cnf(275,plain,
    equal(add(inverse(A),add(multiply(A,n1),multiply(n0,n0))),multiply(n1,n1)),
    inference(para,[status(thm),theory(equality)],[267,55]),
    [iquote('para(267,55)')] ).

cnf(278,plain,
    equal(add(multiply(A,n1),add(multiply(n0,n1),multiply(n0,n0))),multiply(A,A)),
    inference(para,[status(thm),theory(equality)],[267,268]),
    [iquote('para(267,268)')] ).

cnf(279,plain,
    equal(multiply(A,A),add(multiply(A,n1),add(multiply(n0,n1),multiply(n0,n0)))),
    inference(flip,[status(thm),theory(equality)],[278]),
    [iquote('flip(278)')] ).

cnf(289,plain,
    equal(add(multiply(multiply(add(A,n0),n1),n1),multiply(multiply(n0,n1),n1)),A),
    inference(para,[status(thm),theory(equality)],[147,9]),
    [iquote('para(147,9)')] ).

cnf(312,plain,
    equal(add(multiply(A,n1),multiply(inverse(A),n1)),add(multiply(n1,n1),multiply(n0,n0))),
    inference(para,[status(thm),theory(equality)],[22,267]),
    [iquote('para(22,267)')] ).

cnf(314,plain,
    equal(add(add(multiply(A,n1),multiply(n0,n0)),multiply(inverse(A),A)),multiply(A,n1)),
    inference(para,[status(thm),theory(equality)],[267,23]),
    [iquote('para(267,23)')] ).

cnf(317,plain,
    equal(add(A,add(multiply(B,C),multiply(inverse(B),C))),add(multiply(n1,add(C,A)),multiply(A,add(C,A)))),
    inference(para,[status(thm),theory(equality)],[22,27]),
    [iquote('para(22,27)')] ).

cnf(318,plain,
    equal(add(multiply(n1,add(A,B)),multiply(B,add(A,B))),add(B,add(multiply(C,A),multiply(inverse(C),A)))),
    inference(flip,[status(thm),theory(equality)],[317]),
    [iquote('flip(317)')] ).

cnf(333,plain,
    equal(add(A,multiply(n0,add(A,n0))),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,28]),50]),
    [iquote('para(9,28),demod([50])')] ).

cnf(336,plain,
    equal(multiply(A,B),add(multiply(B,A),multiply(multiply(n0,add(B,n0)),A))),
    inference(para,[status(thm),theory(equality)],[333,1]),
    [iquote('para(333,1)')] ).

cnf(337,plain,
    equal(add(multiply(A,B),multiply(multiply(n0,add(A,n0)),B)),multiply(B,A)),
    inference(flip,[status(thm),theory(equality)],[336]),
    [iquote('flip(336)')] ).

cnf(338,plain,
    equal(add(A,add(multiply(A,n0),multiply(n0,n0))),A),
    inference(para,[status(thm),theory(equality)],[1,333]),
    [iquote('para(1,333)')] ).

cnf(340,plain,
    equal(multiply(inverse(A),A),add(n0,multiply(multiply(n0,add(A,n0)),inverse(A)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,337]),1]),
    [iquote('para(5,337),flip(1)')] ).

cnf(342,plain,
    equal(add(add(multiply(A,n1),multiply(n0,n0)),add(n0,multiply(multiply(n0,add(A,n0)),inverse(A)))),multiply(A,n1)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[314]),340]),
    [iquote('back_demod(314),demod([340])')] ).

cnf(354,plain,
    equal(add(multiply(A,inverse(inverse(A))),add(n0,add(n0,multiply(multiply(n0,add(inverse(A),n0)),inverse(inverse(A)))))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[66]),340]),
    [iquote('back_demod(66),demod([340])')] ).

cnf(382,plain,
    equal(add(multiply(n0,n1),multiply(multiply(A,n1),B)),multiply(A,add(B,multiply(n0,n1)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,33]),1]),
    [iquote('para(9,33),flip(1)')] ).

cnf(395,plain,
    ~ equal(add(multiply(b,add(a,b)),multiply(multiply(n0,add(b,n0)),add(a,b))),b),
    inference(para,[status(thm),theory(equality)],[336,12]),
    [iquote('para(336,12)')] ).

cnf(396,plain,
    equal(add(n0,add(multiply(n1,A),multiply(multiply(n0,add(n1,n0)),A))),A),
    inference(para,[status(thm),theory(equality)],[336,50]),
    [iquote('para(336,50)')] ).

cnf(399,plain,
    equal(add(n0,add(n0,multiply(multiply(n0,add(n1,n0)),inverse(n1)))),inverse(n1)),
    inference(para,[status(thm),theory(equality)],[5,396]),
    [iquote('para(5,396)')] ).

cnf(400,plain,
    equal(add(n0,add(multiply(n1,inverse(multiply(n0,add(n1,n0)))),n0)),inverse(multiply(n0,add(n1,n0)))),
    inference(para,[status(thm),theory(equality)],[5,396]),
    [iquote('para(5,396)')] ).

cnf(401,plain,
    equal(add(A,multiply(multiply(n0,add(n1,n0)),add(A,n0))),multiply(add(A,n0),n1)),
    inference(para,[status(thm),theory(equality)],[9,337]),
    [iquote('para(9,337)')] ).

cnf(402,plain,
    equal(multiply(add(A,n0),n1),add(A,multiply(multiply(n0,add(n1,n0)),add(A,n0)))),
    inference(flip,[status(thm),theory(equality)],[401]),
    [iquote('flip(401)')] ).

cnf(439,plain,
    equal(multiply(inverse(inverse(A)),add(n0,add(inverse(A),add(n0,multiply(multiply(n0,add(A,n0)),inverse(A)))))),add(n0,n0)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[115,65]),340]),
    [iquote('para(115,65),demod([340])')] ).

cnf(468,plain,
    equal(add(add(n0,multiply(multiply(n1,n1),inverse(multiply(n0,n1)))),multiply(n0,n1)),inverse(multiply(n0,n1))),
    inference(para,[status(thm),theory(equality)],[96,249]),
    [iquote('para(96,249)')] ).

cnf(504,plain,
    equal(multiply(add(multiply(multiply(n0,n1),inverse(inverse(multiply(n0,n1)))),n0),inverse(multiply(n0,n1))),multiply(n1,n0)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,258]),26]),1]),
    [iquote('para(5,258),demod([26]),flip(1)')] ).

cnf(505,plain,
    equal(add(multiply(n1,n0),n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[223]),504]),
    [iquote('back_demod(223),demod([504])')] ).

cnf(506,plain,
    equal(add(n0,multiply(n1,n0)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[101]),504]),
    [iquote('back_demod(101),demod([504])')] ).

cnf(528,plain,
    equal(add(multiply(n0,add(n1,multiply(n0,n1))),n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[83,505]),382]),
    [iquote('para(83,505),demod([382])')] ).

cnf(529,plain,
    equal(multiply(n1,n0),multiply(n0,add(n1,multiply(n0,n1)))),
    inference(para,[status(thm),theory(equality)],[528,9]),
    [iquote('para(528,9)')] ).

cnf(534,plain,
    equal(add(n0,multiply(n0,add(n1,multiply(n0,n1)))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[506]),529]),
    [iquote('back_demod(506),demod([529])')] ).

cnf(535,plain,
    equal(multiply(add(multiply(multiply(n0,n1),inverse(inverse(multiply(n0,n1)))),n0),inverse(multiply(n0,n1))),multiply(n0,add(n1,multiply(n0,n1)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[504]),529]),
    [iquote('back_demod(504),demod([529])')] ).

cnf(542,plain,
    equal(add(n1,add(multiply(n0,add(n1,multiply(n0,n1))),multiply(n0,n0))),n1),
    inference(para,[status(thm),theory(equality)],[529,338]),
    [iquote('para(529,338)')] ).

cnf(588,plain,
    equal(add(add(multiply(A,n1),multiply(n0,n0)),multiply(B,A)),multiply(A,add(A,B))),
    inference(para,[status(thm),theory(equality)],[267,2]),
    [iquote('para(267,2)')] ).

cnf(592,plain,
    equal(multiply(inverse(A),add(inverse(A),A)),add(add(multiply(inverse(A),n1),multiply(n0,n0)),n0)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,588]),1]),
    [iquote('para(5,588),flip(1)')] ).

cnf(597,plain,
    equal(add(add(multiply(inverse(A),n1),multiply(n0,n0)),multiply(A,add(inverse(A),inverse(A)))),inverse(A)),
    inference(para,[status(thm),theory(equality)],[267,60]),
    [iquote('para(267,60)')] ).

cnf(627,plain,
    equal(multiply(A,n1),add(multiply(n0,A),multiply(add(multiply(n1,n1),multiply(n0,n0)),A))),
    inference(para,[status(thm),theory(equality)],[271,1]),
    [iquote('para(271,1)')] ).

cnf(628,plain,
    equal(add(multiply(n0,A),multiply(add(multiply(n1,n1),multiply(n0,n0)),A)),multiply(A,n1)),
    inference(flip,[status(thm),theory(equality)],[627]),
    [iquote('flip(627)')] ).

cnf(629,plain,
    equal(multiply(inverse(n0),n1),add(n0,multiply(add(multiply(n1,n1),multiply(n0,n0)),inverse(n0)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,628]),1]),
    [iquote('para(5,628),flip(1)')] ).

cnf(643,plain,
    equal(multiply(A,B),add(multiply(B,A),multiply(add(multiply(B,n0),multiply(n0,n0)),A))),
    inference(para,[status(thm),theory(equality)],[338,1]),
    [iquote('para(338,1)')] ).

cnf(644,plain,
    equal(add(multiply(A,B),multiply(add(multiply(A,n0),multiply(n0,n0)),B)),multiply(B,A)),
    inference(flip,[status(thm),theory(equality)],[643]),
    [iquote('flip(643)')] ).

cnf(650,plain,
    equal(multiply(inverse(add(multiply(A,n0),multiply(n0,n0))),A),add(multiply(A,inverse(add(multiply(A,n0),multiply(n0,n0)))),n0)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,644]),1]),
    [iquote('para(5,644),flip(1)')] ).

cnf(652,plain,
    equal(add(A,add(add(multiply(n0,A),multiply(multiply(n0,n1),A)),multiply(n0,n0))),A),
    inference(para,[status(thm),theory(equality)],[83,338]),
    [iquote('para(83,338)')] ).

cnf(654,plain,
    equal(add(inverse(multiply(n0,n1)),add(add(n0,n0),multiply(n0,n0))),inverse(multiply(n0,n1))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,652]),96]),
    [iquote('para(5,652),demod([96])')] ).

cnf(665,plain,
    equal(add(add(multiply(n0,add(n1,multiply(n0,n1))),multiply(multiply(n0,n1),n0)),n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,528]),529]),
    [iquote('para(1,528),demod([529])')] ).

cnf(681,plain,
    equal(multiply(A,n0),add(multiply(n0,A),multiply(multiply(n0,add(n1,multiply(n0,n1))),A))),
    inference(para,[status(thm),theory(equality)],[534,1]),
    [iquote('para(534,1)')] ).

cnf(682,plain,
    equal(add(multiply(n0,A),multiply(multiply(n0,add(n1,multiply(n0,n1))),A)),multiply(A,n0)),
    inference(flip,[status(thm),theory(equality)],[681]),
    [iquote('flip(681)')] ).

cnf(698,plain,
    equal(add(add(multiply(A,add(A,A)),add(n0,n0)),multiply(n0,n1)),add(A,A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[65,157]),238]),
    [iquote('para(65,157),demod([238])')] ).

cnf(699,plain,
    equal(add(n0,add(add(n0,multiply(A,inverse(B))),multiply(inverse(inverse(B)),add(B,A)))),add(B,A)),
    inference(para,[status(thm),theory(equality)],[43,6]),
    [iquote('para(43,6)')] ).

cnf(701,plain,
    equal(multiply(inverse(n0),A),add(n0,multiply(add(multiply(B,A),multiply(inverse(B),A)),inverse(n0)))),
    inference(para,[status(thm),theory(equality)],[6,43]),
    [iquote('para(6,43)')] ).

cnf(702,plain,
    equal(add(n0,multiply(add(multiply(A,B),multiply(inverse(A),B)),inverse(n0))),multiply(inverse(n0),B)),
    inference(flip,[status(thm),theory(equality)],[701]),
    [iquote('flip(701)')] ).

cnf(711,plain,
    equal(add(add(n0,multiply(A,inverse(B))),multiply(inverse(inverse(B)),add(B,A))),multiply(add(B,A),n1)),
    inference(para,[status(thm),theory(equality)],[43,23]),
    [iquote('para(43,23)')] ).

cnf(712,plain,
    equal(multiply(add(A,B),n1),add(add(n0,multiply(B,inverse(A))),multiply(inverse(inverse(A)),add(A,B)))),
    inference(flip,[status(thm),theory(equality)],[711]),
    [iquote('flip(711)')] ).

cnf(716,plain,
    equal(multiply(inverse(n0),multiply(inverse(A),n1)),add(n0,multiply(multiply(inverse(A),inverse(A)),inverse(n0)))),
    inference(para,[status(thm),theory(equality)],[24,43]),
    [iquote('para(24,43)')] ).

cnf(717,plain,
    equal(add(n0,multiply(multiply(inverse(A),inverse(A)),inverse(n0))),multiply(inverse(n0),multiply(inverse(A),n1))),
    inference(flip,[status(thm),theory(equality)],[716]),
    [iquote('flip(716)')] ).

cnf(721,plain,
    equal(add(add(n0,multiply(A,inverse(B))),multiply(A,add(B,A))),add(A,n0)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[43,28]),5]),
    [iquote('para(43,28),demod([5])')] ).

cnf(723,plain,
    equal(add(add(n0,n0),multiply(A,add(A,A))),add(A,n0)),
    inference(para,[status(thm),theory(equality)],[5,721]),
    [iquote('para(5,721)')] ).

cnf(730,plain,
    equal(multiply(A,add(n1,multiply(A,n1))),A),
    inference(para,[status(thm),theory(equality)],[104,72]),
    [iquote('para(104,72)')] ).

cnf(732,plain,
    equal(add(multiply(n0,A),multiply(n0,A)),multiply(A,n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[682]),730]),
    [iquote('back_demod(682),demod([730])')] ).

cnf(743,plain,
    equal(add(add(n0,multiply(multiply(n0,n1),n0)),n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[665]),730]),
    [iquote('back_demod(665),demod([730])')] ).

cnf(745,plain,
    equal(add(n1,add(n0,multiply(n0,n0))),n1),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[542]),730]),
    [iquote('back_demod(542),demod([730])')] ).

cnf(746,plain,
    equal(multiply(add(multiply(multiply(n0,n1),inverse(inverse(multiply(n0,n1)))),n0),inverse(multiply(n0,n1))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[535]),730]),
    [iquote('back_demod(535),demod([730])')] ).

cnf(747,plain,
    equal(add(n0,n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[534]),730]),
    [iquote('back_demod(534),demod([730])')] ).

cnf(750,plain,
    equal(add(n0,multiply(A,add(A,A))),add(A,n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[723]),747]),
    [iquote('back_demod(723),demod([747])')] ).

cnf(752,plain,
    equal(add(add(multiply(A,add(A,A)),n0),multiply(n0,n1)),add(A,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[698]),747]),
    [iquote('back_demod(698),demod([747])')] ).

cnf(756,plain,
    equal(add(inverse(multiply(n0,n1)),add(n0,multiply(n0,n0))),inverse(multiply(n0,n1))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[654]),747]),
    [iquote('back_demod(654),demod([747])')] ).

cnf(763,plain,
    equal(multiply(inverse(inverse(A)),add(n0,add(inverse(A),add(n0,multiply(multiply(n0,add(A,n0)),inverse(A)))))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[439]),747]),
    [iquote('back_demod(439),demod([747])')] ).

cnf(774,plain,
    equal(multiply(inverse(A),add(A,A)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[65]),747]),
    [iquote('back_demod(65),demod([747])')] ).

cnf(775,plain,
    equal(multiply(n1,n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[529]),730]),
    [iquote('back_demod(529),demod([730])')] ).

cnf(794,plain,
    equal(multiply(inverse(add(multiply(A,B),multiply(inverse(A),B))),B),add(multiply(n0,inverse(add(multiply(A,B),multiply(inverse(A),B)))),n0)),
    inference(para,[status(thm),theory(equality)],[6,45]),
    [iquote('para(6,45)')] ).

cnf(799,plain,
    equal(multiply(inverse(add(multiply(A,inverse(inverse(A))),n0)),inverse(inverse(A))),add(multiply(n0,inverse(add(multiply(A,inverse(inverse(A))),n0))),n0)),
    inference(para,[status(thm),theory(equality)],[20,45]),
    [iquote('para(20,45)')] ).

cnf(847,plain,
    equal(add(n0,multiply(multiply(n0,n1),n0)),n0),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[743,9]),775]),1]),
    [iquote('para(743,9),demod([775]),flip(1)')] ).

cnf(848,plain,
    equal(add(multiply(A,B),multiply(inverse(A),B)),add(multiply(n0,B),multiply(add(multiply(n1,n1),multiply(n0,n0)),B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[46,22]),312]),1]),
    [iquote('para(46,22),demod([312]),flip(1)')] ).

cnf(867,plain,
    equal(multiply(inverse(add(multiply(n0,A),multiply(add(multiply(n1,n1),multiply(n0,n0)),A))),A),add(multiply(n0,inverse(add(multiply(n0,A),multiply(add(multiply(n1,n1),multiply(n0,n0)),A)))),n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[794]),848,848]),
    [iquote('back_demod(794),demod([848,848])')] ).

cnf(868,plain,
    equal(add(n0,multiply(add(multiply(n0,A),multiply(add(multiply(n1,n1),multiply(n0,n0)),A)),inverse(n0))),multiply(inverse(n0),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[702]),848]),
    [iquote('back_demod(702),demod([848])')] ).

cnf(869,plain,
    equal(multiply(inverse(n0),A),add(n0,multiply(add(multiply(n0,A),multiply(add(multiply(n1,n1),multiply(n0,n0)),A)),inverse(n0)))),
    inference(flip,[status(thm),theory(equality)],[868]),
    [iquote('flip(868)')] ).

cnf(905,plain,
    equal(add(multiply(n1,add(A,B)),multiply(B,add(A,B))),add(B,add(multiply(n0,A),multiply(add(multiply(n1,n1),multiply(n0,n0)),A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[318]),848]),
    [iquote('back_demod(318),demod([848])')] ).

cnf(906,plain,
    equal(add(A,add(multiply(n0,B),multiply(add(multiply(n1,n1),multiply(n0,n0)),B))),add(multiply(n1,add(B,A)),multiply(A,add(B,A)))),
    inference(flip,[status(thm),theory(equality)],[905]),
    [iquote('flip(905)')] ).

cnf(1013,plain,
    equal(add(multiply(n0,n1),n0),n0),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[730,732]),730,747,105,775]),1]),
    [iquote('para(730,732),demod([730,747,105,775]),flip(1)')] ).

cnf(1020,plain,
    equal(multiply(n0,n1),n0),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1013,9]),775]),1]),
    [iquote('para(1013,9),demod([775]),flip(1)')] ).

cnf(1024,plain,
    equal(add(n0,multiply(n0,n0)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[847]),1020]),
    [iquote('back_demod(847),demod([1020])')] ).

cnf(1026,plain,
    equal(add(inverse(n0),n0),inverse(n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[756]),1020,1024,1020]),
    [iquote('back_demod(756),demod([1020,1024,1020])')] ).

cnf(1030,plain,
    equal(add(n1,n0),n1),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[745]),1024]),
    [iquote('back_demod(745),demod([1024])')] ).

cnf(1038,plain,
    equal(multiply(add(A,n0),n1),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[402]),1030,1020,333]),
    [iquote('back_demod(402),demod([1030,1020,333])')] ).

cnf(1072,plain,
    equal(add(multiply(A,n1),n0),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[289]),1038,1020,1020]),
    [iquote('back_demod(289),demod([1038,1020,1020])')] ).

cnf(1074,plain,
    equal(add(n0,add(multiply(n1,inverse(n0)),n0)),inverse(n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[400]),1030,1020,1030,1020]),
    [iquote('back_demod(400),demod([1030,1020,1030,1020])')] ).

cnf(1075,plain,
    equal(add(n0,add(n0,multiply(n0,inverse(n1)))),inverse(n1)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[399]),1030,1020]),
    [iquote('back_demod(399),demod([1030,1020])')] ).

cnf(1078,plain,
    equal(add(add(multiply(A,add(A,A)),n0),n0),add(A,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[752]),1020]),
    [iquote('back_demod(752),demod([1020])')] ).

cnf(1079,plain,
    equal(multiply(add(multiply(n0,inverse(inverse(n0))),n0),inverse(n0)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[746]),1020,1020,1020]),
    [iquote('back_demod(746),demod([1020,1020,1020])')] ).

cnf(1086,plain,
    equal(add(add(n0,multiply(multiply(n1,n1),inverse(n0))),n0),inverse(n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[468]),1020,1020,1020]),
    [iquote('back_demod(468),demod([1020,1020,1020])')] ).

cnf(1089,plain,
    equal(add(n0,multiply(multiply(A,n1),B)),multiply(A,add(B,n0))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[382]),1020,1020]),
    [iquote('back_demod(382),demod([1020,1020])')] ).

cnf(1090,plain,
    equal(add(multiply(n1,inverse(n0)),n0),inverse(n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1086]),1089,1026]),
    [iquote('back_demod(1086),demod([1089,1026])')] ).

cnf(1091,plain,
    equal(inverse(n0),n1),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1074]),1090,3]),1]),
    [iquote('back_demod(1074),demod([1090,3]),flip(1)')] ).

cnf(1092,plain,
    equal(multiply(n0,inverse(n1)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1079]),1091,1091,1038]),
    [iquote('back_demod(1079),demod([1091,1091,1038])')] ).

cnf(1094,plain,
    equal(inverse(n1),n0),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1075]),1092,747,747]),1]),
    [iquote('back_demod(1075),demod([1092,747,747]),flip(1)')] ).

cnf(1096,plain,
    equal(multiply(n0,n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1092]),1094]),
    [iquote('back_demod(1092),demod([1094])')] ).

cnf(1126,plain,
    equal(add(multiply(n1,add(A,B)),multiply(B,add(A,B))),add(B,add(multiply(n0,A),multiply(n1,A)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[906]),1096,1072]),1]),
    [iquote('back_demod(906),demod([1096,1072]),flip(1)')] ).

cnf(1137,plain,
    equal(add(multiply(n0,A),multiply(n1,A)),multiply(n1,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[869]),1091,1096,1072,1091,50]),1]),
    [iquote('back_demod(869),demod([1091,1096,1072,1091,50]),flip(1)')] ).

cnf(1145,plain,
    equal(add(multiply(n1,add(A,B)),multiply(B,add(A,B))),add(B,multiply(n1,A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1126]),1137]),
    [iquote('back_demod(1126),demod([1137])')] ).

cnf(1168,plain,
    equal(multiply(inverse(multiply(n1,A)),A),add(multiply(n0,inverse(multiply(n1,A))),n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[867]),1096,1072,1137,1096,1072,1137]),
    [iquote('back_demod(867),demod([1096,1072,1137,1096,1072,1137])')] ).

cnf(1188,plain,
    equal(multiply(inverse(add(multiply(A,n0),n0)),A),add(multiply(A,inverse(add(multiply(A,n0),n0))),n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[650]),1096,1096]),
    [iquote('back_demod(650),demod([1096,1096])')] ).

cnf(1192,plain,
    equal(multiply(n1,n1),n1),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[629]),1091,1096,1072,1091,50]),
    [iquote('back_demod(629),demod([1091,1096,1072,1091,50])')] ).

cnf(1217,plain,
    equal(add(inverse(A),A),n1),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[275]),1096,1072,1192]),
    [iquote('back_demod(275),demod([1096,1072,1192])')] ).

cnf(1218,plain,
    equal(multiply(inverse(A),n1),add(inverse(A),n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[592]),1217,1096,1072]),
    [iquote('back_demod(592),demod([1217,1096,1072])')] ).

cnf(1229,plain,
    equal(multiply(inverse(A),inverse(A)),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[717]),1091,50,1091,1218,9]),
    [iquote('back_demod(717),demod([1091,50,1091,1218,9])')] ).

cnf(1231,plain,
    equal(add(n0,add(inverse(A),n0)),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[716]),1091,1218,9,1229,1091,1218]),1]),
    [iquote('back_demod(716),demod([1091,1218,9,1229,1091,1218]),flip(1)')] ).

cnf(1233,plain,
    equal(add(A,inverse(inverse(A))),inverse(inverse(A))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[116]),1231]),1]),
    [iquote('back_demod(116),demod([1231]),flip(1)')] ).

cnf(1234,plain,
    equal(add(add(inverse(inverse(A)),n0),n0),inverse(inverse(A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[248]),1020,1233]),
    [iquote('back_demod(248),demod([1020,1233])')] ).

cnf(1243,plain,
    equal(add(add(add(inverse(A),n0),n0),multiply(A,add(inverse(A),inverse(A)))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[597]),1218,1096]),
    [iquote('back_demod(597),demod([1218,1096])')] ).

cnf(1258,plain,
    equal(add(multiply(add(inverse(A),n0),A),multiply(n0,A)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[222]),1218,1020]),
    [iquote('back_demod(222),demod([1218,1020])')] ).

cnf(1260,plain,
    equal(add(multiply(A,inverse(inverse(A))),n0),add(inverse(inverse(A)),n0)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[26]),1218]),1]),
    [iquote('back_demod(26),demod([1218]),flip(1)')] ).

cnf(1268,plain,
    equal(multiply(inverse(add(inverse(inverse(A)),n0)),inverse(inverse(A))),add(multiply(n0,inverse(add(inverse(inverse(A)),n0))),n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[799]),1260,1260]),
    [iquote('back_demod(799),demod([1260,1260])')] ).

cnf(1296,plain,
    equal(add(A,add(n0,multiply(multiply(n0,add(A,n0)),inverse(A)))),multiply(A,n1)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[342]),1096,1072]),
    [iquote('back_demod(342),demod([1096,1072])')] ).

cnf(1297,plain,
    equal(multiply(A,A),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[279]),1020,1096,747,1072]),
    [iquote('back_demod(279),demod([1020,1096,747,1072])')] ).

cnf(1409,plain,
    equal(add(inverse(A),inverse(A)),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[61,40]),1094,1231,1094,9]),1]),
    [iquote('para(61,40),demod([1094,1231,1094,9]),flip(1)')] ).

cnf(1413,plain,
    equal(add(add(add(inverse(A),n0),n0),n0),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1243]),1409,5]),
    [iquote('back_demod(1243),demod([1409,5])')] ).

cnf(1515,plain,
    equal(add(n0,multiply(multiply(n0,add(inverse(A),n0)),inverse(inverse(A)))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1409,774]),340]),
    [iquote('para(1409,774),demod([340])')] ).

cnf(1517,plain,
    equal(add(inverse(inverse(A)),n0),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[354]),1515,747,1260]),
    [iquote('back_demod(354),demod([1515,747,1260])')] ).

cnf(1530,plain,
    equal(add(multiply(n0,inverse(A)),n0),n0),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1268]),1517,5,1517]),1]),
    [iquote('back_demod(1268),demod([1517,5,1517]),flip(1)')] ).

cnf(1531,plain,
    equal(multiply(inverse(multiply(n1,A)),A),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1168]),1530]),
    [iquote('back_demod(1168),demod([1530])')] ).

cnf(1541,plain,
    equal(inverse(inverse(A)),add(A,n0)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1234]),1517]),1]),
    [iquote('back_demod(1234),demod([1517]),flip(1)')] ).

cnf(1549,plain,
    equal(add(add(A,n0),n0),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1517]),1541]),
    [iquote('back_demod(1517),demod([1541])')] ).

cnf(1551,plain,
    equal(add(inverse(A),n0),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1413]),1549]),
    [iquote('back_demod(1413),demod([1549])')] ).

cnf(1607,plain,
    equal(add(add(n0,multiply(multiply(n0,add(A,n0)),inverse(A))),multiply(n0,A)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1258]),1551,340]),
    [iquote('back_demod(1258),demod([1551,340])')] ).

cnf(1633,plain,
    equal(multiply(A,add(A,A)),add(A,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1078]),1549]),
    [iquote('back_demod(1078),demod([1549])')] ).

cnf(1638,plain,
    equal(add(n0,add(A,A)),add(A,n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[750]),1633]),
    [iquote('back_demod(750),demod([1633])')] ).

cnf(1639,plain,
    equal(add(A,n0),add(n0,add(A,A))),
    inference(flip,[status(thm),theory(equality)],[1638]),
    [iquote('flip(1638)')] ).

cnf(1655,plain,
    equal(add(add(multiply(A,n0),n0),add(multiply(A,add(inverse(A),add(n0,multiply(multiply(n0,add(A,n0)),inverse(A))))),multiply(n0,add(inverse(A),add(n0,multiply(multiply(n0,add(A,n0)),inverse(A))))))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[763]),1541,191,1297]),
    [iquote('back_demod(763),demod([1541,191,1297])')] ).

cnf(1656,plain,
    equal(multiply(add(A,B),n1),add(add(n0,multiply(B,inverse(A))),add(add(A,multiply(n0,A)),add(multiply(A,B),multiply(n0,B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[712]),1541,191,1297]),
    [iquote('back_demod(712),demod([1541,191,1297])')] ).

cnf(1657,plain,
    equal(add(add(n0,multiply(A,inverse(B))),add(add(B,multiply(n0,B)),add(multiply(B,A),multiply(n0,A)))),multiply(add(B,A),n1)),
    inference(flip,[status(thm),theory(equality)],[1656]),
    [iquote('flip(1656)')] ).

cnf(1658,plain,
    equal(add(n0,add(add(n0,multiply(A,inverse(B))),add(add(B,multiply(n0,B)),add(multiply(B,A),multiply(n0,A))))),add(B,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[699]),1541,191,1297]),
    [iquote('back_demod(699),demod([1541,191,1297])')] ).

cnf(1681,plain,
    equal(inverse(add(A,n0)),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1541,1541]),1551]),
    [iquote('para(1541,1541),demod([1551])')] ).

cnf(1689,plain,
    equal(multiply(inverse(multiply(A,n0)),A),add(multiply(A,inverse(multiply(A,n0))),n0)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1188]),1681,1681]),
    [iquote('back_demod(1188),demod([1681,1681])')] ).

cnf(1710,plain,
    equal(multiply(A,add(B,multiply(n1,A))),add(multiply(A,n1),multiply(n0,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,103]),1145]),
    [iquote('para(27,103),demod([1145])')] ).

cnf(1711,plain,
    equal(add(multiply(A,n1),multiply(n0,B)),multiply(A,add(B,multiply(n1,A)))),
    inference(flip,[status(thm),theory(equality)],[1710]),
    [iquote('flip(1710)')] ).

cnf(1735,plain,
    equal(multiply(n1,A),add(A,n0)),
    inference(para,[status(thm),theory(equality)],[1549,9]),
    [iquote('para(1549,9)')] ).

cnf(1742,plain,
    equal(add(multiply(A,n1),multiply(n0,B)),multiply(A,add(B,add(A,n0)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1711]),1735]),
    [iquote('back_demod(1711),demod([1735])')] ).

cnf(1743,plain,
    equal(multiply(A,add(B,add(A,n0))),add(multiply(A,n1),multiply(n0,B))),
    inference(flip,[status(thm),theory(equality)],[1742]),
    [iquote('flip(1742)')] ).

cnf(1763,plain,
    equal(add(n0,multiply(multiply(n0,add(A,n0)),inverse(A))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1531]),1735,1681,340]),
    [iquote('back_demod(1531),demod([1735,1681,340])')] ).

cnf(1764,plain,
    equal(add(add(multiply(A,n0),n0),add(n0,multiply(n0,inverse(A)))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1655]),1763,1551,5,1763,1551]),
    [iquote('back_demod(1655),demod([1763,1551,5,1763,1551])')] ).

cnf(1766,plain,
    equal(add(n0,multiply(n0,A)),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1607]),1763]),
    [iquote('back_demod(1607),demod([1763])')] ).

cnf(1767,plain,
    equal(multiply(A,n0),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1764]),1766,1549]),
    [iquote('back_demod(1764),demod([1766,1549])')] ).

cnf(1770,plain,
    equal(add(A,n0),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1689]),1767,1091,1735,1767,1091,1072]),
    [iquote('back_demod(1689),demod([1767,1091,1735,1767,1091,1072])')] ).

cnf(1771,plain,
    equal(add(n0,multiply(multiply(n0,A),inverse(A))),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1763]),1770]),
    [iquote('back_demod(1763),demod([1770])')] ).

cnf(1791,plain,
    equal(multiply(A,n1),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1296]),1770,1771,1770]),1]),
    [iquote('back_demod(1296),demod([1770,1771,1770]),flip(1)')] ).

cnf(1812,plain,
    equal(multiply(A,add(B,A)),add(A,multiply(n0,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1743]),1770,1791]),
    [iquote('back_demod(1743),demod([1770,1791])')] ).

cnf(1813,plain,
    equal(add(A,multiply(n0,B)),multiply(A,add(B,A))),
    inference(flip,[status(thm),theory(equality)],[1812]),
    [iquote('flip(1812)')] ).

cnf(1834,plain,
    equal(add(add(n0,multiply(A,inverse(B))),add(add(B,multiply(n0,B)),add(multiply(B,A),multiply(n0,A)))),add(B,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1657]),1791]),
    [iquote('back_demod(1657),demod([1791])')] ).

cnf(1835,plain,
    equal(add(n0,add(A,B)),add(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1658]),1834]),
    [iquote('back_demod(1658),demod([1834])')] ).

cnf(1852,plain,
    equal(add(A,A),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1639]),1770,1835]),1]),
    [iquote('back_demod(1639),demod([1770,1835]),flip(1)')] ).

cnf(1853,plain,
    equal(add(n0,A),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1638]),1852,1770]),
    [iquote('back_demod(1638),demod([1852,1770])')] ).

cnf(1861,plain,
    equal(multiply(n0,A),n0),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1766]),1853]),
    [iquote('back_demod(1766),demod([1853])')] ).

cnf(1903,plain,
    equal(multiply(A,add(B,A)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1813]),1861,1770]),1]),
    [iquote('back_demod(1813),demod([1861,1770]),flip(1)')] ).

cnf(2010,plain,
    ~ equal(b,b),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[395]),1903,1770,1861,1861,1770]),
    [iquote('back_demod(395),demod([1903,1770,1861,1861,1770])')] ).

cnf(2011,plain,
    $false,
    inference(conflict,[status(thm)],[2010]),
    [iquote('xx_conflict(2010)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : BOO026-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14  % Command  : tptp2X_and_run_eqp %s
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun  1 20:13:44 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.97/1.34  ----- EQP 0.9e, May 2009 -----
% 0.97/1.34  The job began on n018.cluster.edu, Wed Jun  1 20:13:45 2022
% 0.97/1.34  The command was "./eqp09e".
% 0.97/1.34  
% 0.97/1.34  set(prolog_style_variables).
% 0.97/1.34  set(lrpo).
% 0.97/1.34  set(basic_paramod).
% 0.97/1.34  set(functional_subsume).
% 0.97/1.34  set(ordered_paramod).
% 0.97/1.34  set(prime_paramod).
% 0.97/1.34  set(para_pairs).
% 0.97/1.34  assign(pick_given_ratio,4).
% 0.97/1.34  clear(print_kept).
% 0.97/1.34  clear(print_new_demod).
% 0.97/1.34  clear(print_back_demod).
% 0.97/1.34  clear(print_given).
% 0.97/1.34  assign(max_mem,64000).
% 0.97/1.34  end_of_commands.
% 0.97/1.34  
% 0.97/1.34  Usable:
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  Sos:
% 0.97/1.34  0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(B,A),multiply(C,A)).
% 0.97/1.34  0 (wt=-1) [] add(A,inverse(A)) = n1.
% 0.97/1.34  0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(B,A),add(C,A)).
% 0.97/1.34  0 (wt=-1) [] multiply(A,inverse(A)) = n0.
% 0.97/1.34  0 (wt=-1) [] add(multiply(A,inverse(A)),add(multiply(A,B),multiply(inverse(A),B))) = B.
% 0.97/1.34  0 (wt=-1) [] add(multiply(A,inverse(B)),add(multiply(A,B),multiply(inverse(B),B))) = A.
% 0.97/1.34  0 (wt=-1) [] add(multiply(A,inverse(B)),add(multiply(A,A),multiply(inverse(B),A))) = A.
% 0.97/1.34  0 (wt=-1) [] multiply(add(A,inverse(A)),multiply(add(A,B),add(inverse(A),B))) = B.
% 0.97/1.34  0 (wt=-1) [] multiply(add(A,inverse(B)),multiply(add(A,B),add(inverse(B),B))) = A.
% 0.97/1.34  0 (wt=-1) [] multiply(add(A,inverse(B)),multiply(add(A,A),add(inverse(B),A))) = A.
% 0.97/1.34  0 (wt=-1) [] -(multiply(add(a,b),b) = b).
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  Demodulators:
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  Passive:
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  Starting to process input.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 1 (wt=13) [] multiply(A,add(B,C)) = add(multiply(B,A),multiply(C,A)).
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 2 (wt=13) [flip(1)] add(multiply(A,B),multiply(C,B)) = multiply(B,add(A,C)).
% 0.97/1.34  clause forward subsumed: 0 (wt=13) [flip(2)] multiply(B,add(A,C)) = add(multiply(A,B),multiply(C,B)).
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 3 (wt=6) [] add(A,inverse(A)) = n1.
% 0.97/1.34  3 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 4 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(B,multiply(A,C)).
% 0.97/1.34  4 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 5 (wt=6) [] multiply(A,inverse(A)) = n0.
% 0.97/1.34  5 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 6 (wt=12) [demod([5])] add(n0,add(multiply(A,B),multiply(inverse(A),B))) = B.
% 0.97/1.34  6 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 7 (wt=15) [] add(multiply(A,inverse(B)),add(multiply(A,B),multiply(inverse(B),B))) = A.
% 0.97/1.34  7 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 8 (wt=15) [] add(multiply(A,inverse(B)),add(multiply(A,A),multiply(inverse(B),A))) = A.
% 0.97/1.34  8 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 9 (wt=7) [demod([3,4,5])] multiply(n1,add(A,n0)) = A.
% 0.97/1.34  9 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 10 (wt=13) [demod([4])] multiply(add(A,inverse(B)),add(B,multiply(A,inverse(B)))) = A.
% 0.97/1.34  10 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 11 (wt=13) [demod([4])] multiply(add(A,inverse(B)),add(A,multiply(A,inverse(B)))) = A.
% 0.97/1.34  11 is a new demodulator.
% 0.97/1.34  
% 0.97/1.34  ** KEPT: 12 (wt=7) [] -(multiply(add(a,b),b) = b).
% 0.97/1.34  ---------------- PROOF FOUND ----------------
% 0.97/1.34  % SZS status Unsatisfiable
% 0.97/1.34  
% 0.97/1.34  
% 0.97/1.34  After processing input:
% 0.97/1.34  
% 0.97/1.34  Usable:
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  Sos:
% 0.97/1.34  3 (wt=6) [] add(A,inverse(A)) = n1.
% 0.97/1.34  5 (wt=6) [] multiply(A,inverse(A)) = n0.
% 0.97/1.34  9 (wt=7) [demod([3,4,5])] multiply(n1,add(A,n0)) = A.
% 0.97/1.34  12 (wt=7) [] -(multiply(add(a,b),b) = b).
% 0.97/1.34  6 (wt=12) [demod([5])] add(n0,add(multiply(A,B),multiply(inverse(A),B))) = B.
% 0.97/1.34  1 (wt=13) [] multiply(A,add(B,C)) = add(multiply(B,A),multiply(C,A)).
% 0.97/1.34  2 (wt=13) [flip(1)] add(multiply(A,B),multiply(C,B)) = multiply(B,add(A,C)).
% 0.97/1.34  4 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(B,multiply(A,C)).
% 0.97/1.34  10 (wt=13) [demod([4])] multiply(add(A,inverse(B)),add(B,multiply(A,inverse(B)))) = A.
% 0.97/1.34  11 (wt=13) [demod([4])] multiply(add(A,inverse(B)),add(A,multiply(A,inverse(B)))) = A.
% 0.97/1.34  7 (wt=15) [] add(multiply(A,inverse(B)),add(multiply(A,B),multiply(inverse(B),B))) = A.
% 0.97/1.34  8 (wt=15) [] add(multiply(A,inverse(B)),add(multiply(A,A),multiply(inverse(B),A))) = A.
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  Demodulators:
% 0.97/1.34  3 (wt=6) [] add(A,inverse(A)) = n1.
% 0.97/1.34  4 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(B,multiply(A,C)).
% 0.97/1.34  5 (wt=6) [] multiply(A,inverse(A)) = n0.
% 0.97/1.34  6 (wt=12) [demod([5])] add(n0,add(multiply(A,B),multiply(inverse(A),B))) = B.
% 0.97/1.34  7 (wt=15) [] add(multiply(A,inverse(B)),add(multiply(A,B),multiply(inverse(B),B))) = A.
% 0.97/1.34  8 (wt=15) [] add(multiply(A,inverse(B)),add(multiply(A,A),multiply(inverse(B),A))) = A.
% 0.97/1.34  9 (wt=7) [demod([3,4,5])] multiply(n1,add(A,n0)) = A.
% 0.97/1.34  10 (wt=13) [demod([4])] multiply(add(A,inverse(B)),add(B,multiply(A,inverse(B)))) = A.
% 0.97/1.34  11 (wt=13) [demod([4])] multiply(add(A,inverse(B)),add(A,multiply(A,inverse(B)))) = A.
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  Passive:
% 0.97/1.34  end_of_list.
% 0.97/1.34  
% 0.97/1.34  UNIT CONFLICT from 2010 and x=x at   0.12 seconds.
% 0.97/1.34  
% 0.97/1.34  ---------------- PROOF ----------------
% 0.97/1.34  % SZS output start Refutation
% See solution above
% 0.97/1.34  ------------ end of proof -------------
% 0.97/1.34  
% 0.97/1.34  
% 0.97/1.34  ------------- memory usage ------------
% 0.97/1.34  Memory dynamically allocated (tp_alloc): 3417.
% 0.97/1.34    type (bytes each)        gets      frees     in use      avail      bytes
% 0.97/1.34  sym_ent (  96)               58          0         58          0      5.4 K
% 0.97/1.34  term (  16)              110724      65372      45352         43    878.8 K
% 0.97/1.34  gen_ptr (   8)           247374      49702     197672        217   1546.0 K
% 0.97/1.34  context ( 808)           111443     111441          2          4      4.7 K
% 0.97/1.34  trail (  12)              28571      28571          0          5      0.1 K
% 0.97/1.34  bt_node (  68)            34192      34189          3         23      1.7 K
% 0.97/1.34  ac_position (285432)          0          0          0          0      0.0 K
% 0.97/1.34  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.97/1.34  ac_match_free_vars_pos (4020)
% 0.97/1.34                                0          0          0          0      0.0 K
% 0.97/1.34  discrim (  12)            38110      24692      13418       4266    207.2 K
% 0.97/1.34  flat (  40)              271338     271338          0         77      3.0 K
% 0.97/1.34  discrim_pos (  12)         4895       4895          0          1      0.0 K
% 0.97/1.34  fpa_head (  12)            8137          0       8137          0     95.4 K
% 0.97/1.34  fpa_tree (  28)            7436       7436          0         35      1.0 K
% 0.97/1.34  fpa_pos (  36)             2947       2947          0          1      0.0 K
% 0.97/1.34  literal (  12)             6745       4735       2010          1     23.6 K
% 0.97/1.34  clause (  24)              6745       4735       2010          1     47.1 K
% 0.97/1.34  list (  12)                 997        928         69          4      0.9 K
% 0.97/1.34  list_pos (  20)           10774       6200       4574        238     94.0 K
% 0.97/1.34  pair_index (   40)              2          0          2          0      0.1 K
% 0.97/1.34  
% 0.97/1.34  -------------- statistics -------------
% 0.97/1.34  Clauses input                 11
% 0.97/1.34    Usable input                   0
% 0.97/1.34    Sos input                     11
% 0.97/1.34    Demodulators input             0
% 0.97/1.34    Passive input                  0
% 0.97/1.34  
% 0.97/1.34  Processed BS (before search)  13
% 0.97/1.34  Forward subsumed BS            1
% 0.97/1.34  Kept BS                       12
% 0.97/1.34  New demodulators BS            9
% 0.97/1.34  Back demodulated BS            0
% 0.97/1.34  
% 0.97/1.34  Clauses or pairs given      3972
% 0.97/1.34  Clauses generated           3661
% 0.97/1.34  Forward subsumed            1663
% 0.97/1.34  Deleted by weight              0
% 0.97/1.34  Deleted by variable count      0
% 0.97/1.34  Kept                        1998
% 0.97/1.34  New demodulators             929
% 0.97/1.34  Back demodulated            1337
% 0.97/1.34  Ordered paramod prunes         0
% 0.97/1.34  Basic paramod prunes       12739
% 0.97/1.34  Prime paramod prunes          20
% 0.97/1.34  Semantic prunes                0
% 0.97/1.34  
% 0.97/1.34  Rewrite attmepts           60046
% 0.97/1.34  Rewrites                    3944
% 0.97/1.34  
% 0.97/1.34  FPA overloads                  0
% 0.97/1.34  FPA underloads                 0
% 0.97/1.34  
% 0.97/1.34  Usable size                    0
% 0.97/1.34  Sos size                     672
% 0.97/1.34  Demodulators size            246
% 0.97/1.34  Passive size                   0
% 0.97/1.34  Disabled size               1337
% 0.97/1.34  
% 0.97/1.34  Proofs found                   1
% 0.97/1.34  
% 0.97/1.34  ----------- times (seconds) ----------- Wed Jun  1 20:13:45 2022
% 0.97/1.34  
% 0.97/1.34  user CPU time             0.12   (0 hr, 0 min, 0 sec)
% 0.97/1.34  system CPU time           0.09   (0 hr, 0 min, 0 sec)
% 0.97/1.34  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.97/1.34  input time                0.00
% 0.97/1.34  paramodulation time       0.01
% 0.97/1.34  demodulation time         0.01
% 0.97/1.34  orient time               0.01
% 0.97/1.34  weigh time                0.00
% 0.97/1.34  forward subsume time      0.01
% 0.97/1.34  back demod find time      0.01
% 0.97/1.34  conflict time             0.00
% 0.97/1.34  LRPO time                 0.01
% 0.97/1.34  store clause time         0.02
% 0.97/1.34  disable clause time       0.01
% 0.97/1.34  prime paramod time        0.00
% 0.97/1.34  semantics time            0.00
% 0.97/1.34  
% 0.97/1.34  EQP interrupted
%------------------------------------------------------------------------------