TSTP Solution File: GRP504-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP504-1 : TPTP v8.1.0. Released v2.6.0.
% 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 08:47:43 EDT 2022

% Result   : Unsatisfiable 2.23s 2.56s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   71
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  295 ( 295 unt;   0 nHn;   2 RR)
%            Number of literals    :  295 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   : 1265 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))),C),
    file('GRP504-1.p',unknown),
    [] ).

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

cnf(3,plain,
    equal(double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),2,2]),
    [iquote('back_demod(1),demod([2,2])')] ).

cnf(4,plain,
    ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
    file('GRP504-1.p',unknown),
    [] ).

cnf(5,plain,
    equal(double_divide(double_divide(A,multiply(B,double_divide(C,D))),double_divide(multiply(D,C),multiply(double_divide(A,E),E))),B),
    inference(para,[status(thm),theory(equality)],[2,3]),
    [iquote('para(2,3)')] ).

cnf(6,plain,
    equal(inverse(A),multiply(double_divide(inverse(B),multiply(double_divide(C,D),D)),double_divide(C,multiply(A,B)))),
    inference(para,[status(thm),theory(equality)],[3,2]),
    [iquote('para(3,2)')] ).

cnf(7,plain,
    equal(multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,multiply(D,A))),inverse(D)),
    inference(flip,[status(thm),theory(equality)],[6]),
    [iquote('flip(6)')] ).

cnf(8,plain,
    equal(double_divide(double_divide(double_divide(A,multiply(B,C)),multiply(D,E)),double_divide(inverse(E),multiply(B,double_divide(inverse(C),multiply(double_divide(A,F),F))))),D),
    inference(para,[status(thm),theory(equality)],[3,3]),
    [iquote('para(3,3)')] ).

cnf(10,plain,
    equal(inverse(A),multiply(double_divide(multiply(B,C),multiply(double_divide(D,E),E)),double_divide(D,multiply(A,double_divide(C,B))))),
    inference(para,[status(thm),theory(equality)],[5,2]),
    [iquote('para(5,2)')] ).

cnf(17,plain,
    equal(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(inverse(C),multiply(double_divide(D,F),F))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,3]),2]),
    [iquote('para(7,3),demod([2])')] ).

cnf(18,plain,
    equal(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(double_divide(D,inverse(E)),double_divide(multiply(multiply(E,A),B),multiply(double_divide(D,F),F)))),
    inference(flip,[status(thm),theory(equality)],[17]),
    [iquote('flip(17)')] ).

cnf(23,plain,
    equal(double_divide(double_divide(A,multiply(B,C)),double_divide(multiply(multiply(double_divide(C,B),D),E),multiply(double_divide(A,F),F))),double_divide(inverse(D),multiply(double_divide(E,G),G))),
    inference(para,[status(thm),theory(equality)],[2,17]),
    [iquote('para(2,17)')] ).

cnf(29,plain,
    equal(double_divide(double_divide(A,multiply(B,C)),double_divide(multiply(double_divide(multiply(D,E),multiply(double_divide(F,G),G)),double_divide(F,multiply(C,double_divide(E,D)))),multiply(double_divide(A,H),H))),B),
    inference(para,[status(thm),theory(equality)],[10,3]),
    [iquote('para(10,3)')] ).

cnf(41,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(double_divide(multiply(multiply(double_divide(D,E),C),A),multiply(double_divide(F,G),G)),double_divide(F,multiply(E,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,2]),2]),
    [iquote('para(23,2),demod([2])')] ).

cnf(45,plain,
    equal(double_divide(double_divide(double_divide(A,multiply(double_divide(inverse(B),multiply(double_divide(inverse(C),D),D)),C)),multiply(E,F)),double_divide(inverse(F),multiply(B,A))),E),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,8]),2]),
    [iquote('para(7,8),demod([2])')] ).

cnf(46,plain,
    equal(inverse(A),multiply(double_divide(inverse(B),multiply(C,D)),double_divide(double_divide(D,multiply(double_divide(inverse(C),multiply(double_divide(inverse(E),F),F)),E)),multiply(A,B)))),
    inference(para,[status(thm),theory(equality)],[45,2]),
    [iquote('para(45,2)')] ).

cnf(47,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,C)),double_divide(double_divide(C,multiply(double_divide(inverse(B),multiply(double_divide(inverse(D),E),E)),D)),multiply(F,A))),inverse(F)),
    inference(flip,[status(thm),theory(equality)],[46]),
    [iquote('flip(46)')] ).

cnf(75,plain,
    equal(inverse(A),multiply(double_divide(multiply(double_divide(multiply(B,C),multiply(double_divide(D,E),E)),double_divide(D,multiply(F,double_divide(C,B)))),multiply(double_divide(G,H),H)),double_divide(G,multiply(A,F)))),
    inference(para,[status(thm),theory(equality)],[29,2]),
    [iquote('para(29,2)')] ).

cnf(103,plain,
    equal(double_divide(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(inverse(F),multiply(double_divide(inverse(C),G),G))),double_divide(D,F)),
    inference(para,[status(thm),theory(equality)],[18,3]),
    [iquote('para(18,3)')] ).

cnf(105,plain,
    equal(double_divide(double_divide(A,multiply(B,C)),double_divide(double_divide(D,inverse(E)),double_divide(multiply(multiply(E,C),A),multiply(double_divide(D,F),F)))),B),
    inference(para,[status(thm),theory(equality)],[18,3]),
    [iquote('para(18,3)')] ).

cnf(107,plain,
    equal(inverse(A),multiply(double_divide(double_divide(B,inverse(C)),double_divide(multiply(multiply(C,D),E),multiply(double_divide(B,F),F))),double_divide(E,multiply(A,D)))),
    inference(para,[status(thm),theory(equality)],[105,2]),
    [iquote('para(105,2)')] ).

cnf(108,plain,
    equal(multiply(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(D,multiply(F,C))),inverse(F)),
    inference(flip,[status(thm),theory(equality)],[107]),
    [iquote('flip(107)')] ).

cnf(117,plain,
    equal(double_divide(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(multiply(F,G),multiply(double_divide(inverse(C),H),H))),double_divide(D,double_divide(G,F))),
    inference(para,[status(thm),theory(equality)],[2,103]),
    [iquote('para(2,103)')] ).

cnf(131,plain,
    equal(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(double_divide(F,inverse(G)),double_divide(multiply(multiply(G,C),D),multiply(double_divide(F,H),H)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[108,3]),2]),
    [iquote('para(108,3),demod([2])')] ).

cnf(154,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),C),multiply(double_divide(D,E),E)),double_divide(D,inverse(A))),multiply(double_divide(multiply(multiply(F,B),C),multiply(double_divide(G,H),H)),double_divide(G,inverse(F)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[131,2]),2]),
    [iquote('para(131,2),demod([2])')] ).

cnf(159,plain,
    equal(multiply(double_divide(multiply(multiply(double_divide(A,B),C),D),multiply(double_divide(E,F),F)),double_divide(E,multiply(B,A))),multiply(double_divide(multiply(multiply(G,C),D),multiply(double_divide(H,I),I)),double_divide(H,inverse(G)))),
    inference(para,[status(thm),theory(equality)],[2,154]),
    [iquote('para(2,154)')] ).

cnf(160,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),C),multiply(double_divide(D,E),E)),double_divide(D,inverse(A))),multiply(double_divide(multiply(multiply(double_divide(F,G),B),C),multiply(double_divide(H,I),I)),double_divide(H,multiply(G,F)))),
    inference(flip,[status(thm),theory(equality)],[159]),
    [iquote('flip(159)')] ).

cnf(209,plain,
    equal(double_divide(double_divide(double_divide(A,multiply(double_divide(inverse(B),multiply(double_divide(inverse(C),D),D)),C)),inverse(E)),double_divide(multiply(multiply(E,F),G),multiply(B,A))),double_divide(inverse(F),multiply(double_divide(G,H),H))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,45]),2]),
    [iquote('para(7,45),demod([2])')] ).

cnf(213,plain,
    equal(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),double_divide(D,multiply(double_divide(inverse(E),multiply(double_divide(inverse(F),G),G)),F))),multiply(double_divide(A,H),H))),double_divide(inverse(C),multiply(E,D))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[47,3]),2]),
    [iquote('para(47,3),demod([2])')] ).

cnf(226,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(double_divide(multiply(multiply(D,C),A),multiply(E,F)),double_divide(double_divide(F,multiply(double_divide(inverse(E),multiply(double_divide(inverse(G),H),H)),G)),inverse(D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[209,2]),2]),
    [iquote('para(209,2),demod([2])')] ).

cnf(227,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),C),multiply(D,E)),double_divide(double_divide(E,multiply(double_divide(inverse(D),multiply(double_divide(inverse(F),G),G)),F)),inverse(A))),multiply(multiply(double_divide(C,H),H),inverse(B))),
    inference(flip,[status(thm),theory(equality)],[226]),
    [iquote('flip(226)')] ).

cnf(235,plain,
    equal(multiply(multiply(A,B),inverse(C)),multiply(double_divide(multiply(multiply(D,C),double_divide(B,multiply(double_divide(inverse(A),multiply(double_divide(inverse(E),F),F)),E))),multiply(double_divide(G,H),H)),double_divide(G,inverse(D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[213,2]),2]),
    [iquote('para(213,2),demod([2])')] ).

cnf(236,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),double_divide(C,multiply(double_divide(inverse(D),multiply(double_divide(inverse(E),F),F)),E))),multiply(double_divide(G,H),H)),double_divide(G,inverse(A))),multiply(multiply(D,C),inverse(B))),
    inference(flip,[status(thm),theory(equality)],[235]),
    [iquote('flip(235)')] ).

cnf(243,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,D)),multiply(double_divide(multiply(multiply(E,double_divide(D,C)),A),multiply(F,G)),double_divide(double_divide(G,multiply(double_divide(inverse(F),multiply(double_divide(inverse(H),I),I)),H)),inverse(E)))),
    inference(para,[status(thm),theory(equality)],[2,226]),
    [iquote('para(2,226)')] ).

cnf(244,plain,
    equal(multiply(double_divide(multiply(multiply(A,double_divide(B,C)),D),multiply(E,F)),double_divide(double_divide(F,multiply(double_divide(inverse(E),multiply(double_divide(inverse(G),H),H)),G)),inverse(A))),multiply(multiply(double_divide(D,I),I),multiply(C,B))),
    inference(flip,[status(thm),theory(equality)],[243]),
    [iquote('flip(243)')] ).

cnf(312,plain,
    equal(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(inverse(A),multiply(double_divide(B,D),D))),
    inference(para,[status(thm),theory(equality)],[17,17]),
    [iquote('para(17,17)')] ).

cnf(313,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(multiply(double_divide(A,D),D),inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[312,2]),2]),
    [iquote('para(312,2),demod([2])')] ).

cnf(314,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,D)),multiply(multiply(double_divide(A,E),E),multiply(C,D))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,313]),2]),
    [iquote('para(2,313),demod([2])')] ).

cnf(320,plain,
    equal(multiply(double_divide(A,B),B),multiply(double_divide(A,C),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[313,3]),3]),
    [iquote('para(313,3),demod([3])')] ).

cnf(323,plain,
    equal(double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(inverse(D),multiply(double_divide(A,E),E))),double_divide(B,D)),
    inference(para,[status(thm),theory(equality)],[320,3]),
    [iquote('para(320,3)')] ).

cnf(329,plain,
    equal(double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(multiply(D,E),multiply(double_divide(A,F),F))),double_divide(B,double_divide(E,D))),
    inference(para,[status(thm),theory(equality)],[2,323]),
    [iquote('para(2,323)')] ).

cnf(334,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),multiply(multiply(double_divide(A,E),E),multiply(double_divide(C,F),F))),
    inference(para,[status(thm),theory(equality)],[320,314]),
    [iquote('para(320,314)')] ).

cnf(353,plain,
    equal(double_divide(A,double_divide(B,double_divide(C,B))),double_divide(A,double_divide(D,double_divide(C,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[320,329]),329]),
    [iquote('para(320,329),demod([329])')] ).

cnf(354,plain,
    equal(multiply(double_divide(A,double_divide(B,A)),C),multiply(double_divide(D,double_divide(B,D)),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[353,2]),2]),
    [iquote('para(353,2),demod([2])')] ).

cnf(358,plain,
    equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)),multiply(double_divide(C,D),D)),
    inference(para,[status(thm),theory(equality)],[354,320]),
    [iquote('para(354,320)')] ).

cnf(362,plain,
    equal(double_divide(A,double_divide(double_divide(B,C),double_divide(D,double_divide(B,D)))),double_divide(A,double_divide(E,double_divide(C,E)))),
    inference(para,[status(thm),theory(equality)],[353,353]),
    [iquote('para(353,353)')] ).

cnf(385,plain,
    equal(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[354,3]),3]),
    [iquote('para(354,3),demod([3])')] ).

cnf(391,plain,
    equal(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(B,D))),
    inference(para,[status(thm),theory(equality)],[385,385]),
    [iquote('para(385,385)')] ).

cnf(392,plain,
    equal(double_divide(A,double_divide(B,A)),double_divide(double_divide(C,B),double_divide(D,double_divide(C,D)))),
    inference(flip,[status(thm),theory(equality)],[391]),
    [iquote('flip(391)')] ).

cnf(395,plain,
    equal(double_divide(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(D,C))),double_divide(E,double_divide(double_divide(B,D),E))),
    inference(para,[status(thm),theory(equality)],[391,385]),
    [iquote('para(391,385)')] ).

cnf(397,plain,
    equal(double_divide(double_divide(A,B),double_divide(double_divide(C,A),double_divide(D,double_divide(C,D)))),double_divide(E,double_divide(B,E))),
    inference(para,[status(thm),theory(equality)],[392,385]),
    [iquote('para(392,385)')] ).

cnf(418,plain,
    equal(double_divide(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(E,double_divide(B,E)))),double_divide(F,double_divide(D,F))),
    inference(para,[status(thm),theory(equality)],[362,385]),
    [iquote('para(362,385)')] ).

cnf(444,plain,
    equal(double_divide(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(double_divide(D,B),C))),double_divide(E,double_divide(double_divide(F,double_divide(D,F)),E))),
    inference(para,[status(thm),theory(equality)],[395,385]),
    [iquote('para(395,385)')] ).

cnf(445,plain,
    equal(double_divide(A,double_divide(double_divide(B,double_divide(C,B)),A)),double_divide(double_divide(D,double_divide(E,D)),double_divide(F,double_divide(double_divide(C,E),F)))),
    inference(flip,[status(thm),theory(equality)],[444]),
    [iquote('flip(444)')] ).

cnf(462,plain,
    equal(double_divide(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(E,D))),double_divide(F,double_divide(double_divide(B,E),F))),
    inference(para,[status(thm),theory(equality)],[397,385]),
    [iquote('para(397,385)')] ).

cnf(541,plain,
    equal(double_divide(A,double_divide(B,multiply(double_divide(C,double_divide(A,C)),D))),double_divide(inverse(D),multiply(double_divide(B,E),E))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,23]),117]),
    [iquote('para(18,23),demod([117])')] ).

cnf(545,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(double_divide(A,multiply(double_divide(D,double_divide(E,D)),C)),E)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[541,2]),2]),
    [iquote('para(541,2),demod([2])')] ).

cnf(549,plain,
    equal(double_divide(A,double_divide(B,multiply(double_divide(C,D),D))),double_divide(multiply(C,A),multiply(double_divide(B,E),E))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[320,541]),2]),
    [iquote('para(320,541),demod([2])')] ).

cnf(551,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,D)),multiply(double_divide(A,multiply(double_divide(C,E),E)),D)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[549,2]),2]),
    [iquote('para(549,2),demod([2])')] ).

cnf(593,plain,
    equal(multiply(multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)),inverse(D)),multiply(double_divide(C,multiply(double_divide(E,double_divide(F,E)),D)),F)),
    inference(para,[status(thm),theory(equality)],[385,545]),
    [iquote('para(385,545)')] ).

cnf(602,plain,
    equal(multiply(multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)),multiply(D,E)),multiply(double_divide(C,multiply(double_divide(F,double_divide(G,F)),double_divide(E,D))),G)),
    inference(para,[status(thm),theory(equality)],[2,593]),
    [iquote('para(2,593)')] ).

cnf(603,plain,
    equal(multiply(double_divide(A,multiply(double_divide(B,double_divide(C,B)),double_divide(D,E))),C),multiply(multiply(double_divide(F,double_divide(G,F)),double_divide(G,A)),multiply(E,D))),
    inference(flip,[status(thm),theory(equality)],[602]),
    [iquote('flip(602)')] ).

cnf(619,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),multiply(multiply(double_divide(A,E),E),multiply(double_divide(F,double_divide(G,F)),double_divide(G,C)))),
    inference(para,[status(thm),theory(equality)],[358,314]),
    [iquote('para(358,314)')] ).

cnf(620,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,double_divide(D,C)),double_divide(D,E))),multiply(multiply(double_divide(A,F),F),multiply(double_divide(E,G),G))),
    inference(flip,[status(thm),theory(equality)],[619]),
    [iquote('flip(619)')] ).

cnf(736,plain,
    equal(multiply(multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)),multiply(double_divide(D,E),E)),multiply(multiply(double_divide(C,F),F),multiply(double_divide(D,G),G))),
    inference(para,[status(thm),theory(equality)],[385,334]),
    [iquote('para(385,334)')] ).

cnf(737,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),multiply(multiply(double_divide(E,double_divide(F,E)),double_divide(F,A)),multiply(double_divide(C,G),G))),
    inference(flip,[status(thm),theory(equality)],[736]),
    [iquote('flip(736)')] ).

cnf(766,plain,
    equal(double_divide(double_divide(A,double_divide(B,double_divide(C,B))),double_divide(D,double_divide(A,D))),double_divide(E,double_divide(double_divide(double_divide(F,C),double_divide(G,double_divide(F,G))),E))),
    inference(para,[status(thm),theory(equality)],[418,385]),
    [iquote('para(418,385)')] ).

cnf(767,plain,
    equal(double_divide(A,double_divide(double_divide(double_divide(B,C),double_divide(D,double_divide(B,D))),A)),double_divide(double_divide(E,double_divide(F,double_divide(C,F))),double_divide(G,double_divide(E,G)))),
    inference(flip,[status(thm),theory(equality)],[766]),
    [iquote('flip(766)')] ).

cnf(808,plain,
    equal(double_divide(double_divide(A,double_divide(double_divide(B,C),A)),double_divide(D,double_divide(double_divide(E,double_divide(B,E)),D))),double_divide(F,double_divide(double_divide(G,double_divide(C,G)),F))),
    inference(para,[status(thm),theory(equality)],[444,385]),
    [iquote('para(444,385)')] ).

cnf(809,plain,
    equal(double_divide(A,double_divide(double_divide(B,double_divide(C,B)),A)),double_divide(double_divide(D,double_divide(double_divide(E,C),D)),double_divide(F,double_divide(double_divide(G,double_divide(E,G)),F)))),
    inference(flip,[status(thm),theory(equality)],[808]),
    [iquote('flip(808)')] ).

cnf(826,plain,
    equal(double_divide(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(double_divide(D,B),C))),double_divide(E,double_divide(double_divide(double_divide(F,D),double_divide(G,double_divide(F,G))),E))),
    inference(para,[status(thm),theory(equality)],[462,385]),
    [iquote('para(462,385)')] ).

cnf(827,plain,
    equal(double_divide(A,double_divide(double_divide(double_divide(B,C),double_divide(D,double_divide(B,D))),A)),double_divide(double_divide(E,double_divide(F,E)),double_divide(G,double_divide(double_divide(C,F),G)))),
    inference(flip,[status(thm),theory(equality)],[826]),
    [iquote('flip(826)')] ).

cnf(973,plain,
    equal(double_divide(multiply(A,double_divide(A,multiply(B,C))),multiply(double_divide(inverse(C),D),D)),B),
    inference(para,[status(thm),theory(equality)],[549,3]),
    [iquote('para(549,3)')] ).

cnf(978,plain,
    equal(inverse(A),multiply(multiply(double_divide(inverse(B),C),C),multiply(D,double_divide(D,multiply(A,B))))),
    inference(para,[status(thm),theory(equality)],[973,2]),
    [iquote('para(973,2)')] ).

cnf(979,plain,
    equal(multiply(multiply(double_divide(inverse(A),B),B),multiply(C,double_divide(C,multiply(D,A)))),inverse(D)),
    inference(flip,[status(thm),theory(equality)],[978]),
    [iquote('flip(978)')] ).

cnf(1100,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(multiply(double_divide(inverse(C),D),D),multiply(E,double_divide(E,multiply(F,C))))),multiply(multiply(double_divide(A,G),G),inverse(F))),
    inference(para,[status(thm),theory(equality)],[978,313]),
    [iquote('para(978,313)')] ).

cnf(1101,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(multiply(double_divide(A,D),D),multiply(multiply(double_divide(inverse(E),F),F),multiply(G,double_divide(G,multiply(C,E)))))),
    inference(flip,[status(thm),theory(equality)],[1100]),
    [iquote('flip(1100)')] ).

cnf(1111,plain,
    equal(double_divide(double_divide(inverse(A),multiply(B,double_divide(double_divide(C,multiply(D,A)),C))),D),B),
    inference(para,[status(thm),theory(equality)],[973,5]),
    [iquote('para(973,5)')] ).

cnf(1115,plain,
    equal(multiply(double_divide(double_divide(inverse(A),multiply(B,double_divide(double_divide(C,multiply(D,A)),C))),E),E),multiply(B,D)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1111,320]),1]),
    [iquote('para(1111,320),flip(1)')] ).

cnf(1161,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,B)))),C),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1111,3]),1115]),
    [iquote('para(1111,3),demod([1115])')] ).

cnf(1164,plain,
    equal(inverse(A),multiply(double_divide(inverse(B),multiply(C,multiply(A,B))),C)),
    inference(para,[status(thm),theory(equality)],[1161,2]),
    [iquote('para(1161,2)')] ).

cnf(1165,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,multiply(C,A))),B),inverse(C)),
    inference(flip,[status(thm),theory(equality)],[1164]),
    [iquote('flip(1164)')] ).

cnf(1182,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(A,inverse(C)))),double_divide(inverse(D),multiply(B,multiply(C,D)))),
    inference(para,[status(thm),theory(equality)],[1165,1161]),
    [iquote('para(1165,1161)')] ).

cnf(1183,plain,
    equal(double_divide(inverse(A),multiply(B,multiply(C,A))),double_divide(D,double_divide(inverse(B),multiply(D,inverse(C))))),
    inference(flip,[status(thm),theory(equality)],[1182]),
    [iquote('flip(1182)')] ).

cnf(1195,plain,
    equal(multiply(multiply(A,multiply(B,C)),inverse(C)),multiply(double_divide(inverse(A),multiply(D,inverse(B))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1182,2]),2]),
    [iquote('para(1182,2),demod([2])')] ).

cnf(1292,plain,
    equal(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),multiply(double_divide(A,D),D))),double_divide(inverse(E),multiply(C,multiply(B,E)))),
    inference(para,[status(thm),theory(equality)],[1165,3]),
    [iquote('para(1165,3)')] ).

cnf(1305,plain,
    equal(double_divide(A,double_divide(inverse(multiply(B,double_divide(B,multiply(C,D)))),multiply(A,inverse(C)))),multiply(double_divide(inverse(D),E),E)),
    inference(para,[status(thm),theory(equality)],[979,1161]),
    [iquote('para(979,1161)')] ).

cnf(1306,plain,
    equal(multiply(double_divide(inverse(A),B),B),double_divide(C,double_divide(inverse(multiply(D,double_divide(D,multiply(E,A)))),multiply(C,inverse(E))))),
    inference(flip,[status(thm),theory(equality)],[1305]),
    [iquote('flip(1305)')] ).

cnf(1307,plain,
    equal(double_divide(multiply(double_divide(inverse(A),B),B),double_divide(multiply(multiply(C,A),D),inverse(C))),D),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[979,1161]),2]),
    [iquote('para(979,1161),demod([2])')] ).

cnf(1424,plain,
    equal(double_divide(A,double_divide(B,double_divide(inverse(A),multiply(B,inverse(C))))),C),
    inference(para,[status(thm),theory(equality)],[1183,1161]),
    [iquote('para(1183,1161)')] ).

cnf(1425,plain,
    equal(multiply(double_divide(A,double_divide(inverse(B),multiply(A,inverse(C)))),B),inverse(C)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1424,2]),1]),
    [iquote('para(1424,2),flip(1)')] ).

cnf(1427,plain,
    equal(double_divide(A,double_divide(B,double_divide(inverse(A),multiply(B,multiply(C,D))))),double_divide(D,C)),
    inference(para,[status(thm),theory(equality)],[2,1424]),
    [iquote('para(2,1424)')] ).

cnf(1430,plain,
    equal(multiply(A,double_divide(B,double_divide(inverse(C),multiply(B,inverse(A))))),multiply(double_divide(C,D),D)),
    inference(para,[status(thm),theory(equality)],[1424,320]),
    [iquote('para(1424,320)')] ).

cnf(1431,plain,
    equal(multiply(double_divide(A,B),B),multiply(C,double_divide(D,double_divide(inverse(A),multiply(D,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[1430]),
    [iquote('flip(1430)')] ).

cnf(1443,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(A,inverse(C)))),double_divide(D,double_divide(inverse(B),multiply(D,inverse(C))))),
    inference(para,[status(thm),theory(equality)],[1425,1161]),
    [iquote('para(1425,1161)')] ).

cnf(1445,plain,
    equal(double_divide(A,double_divide(double_divide(B,double_divide(inverse(inverse(C)),multiply(B,inverse(D)))),double_divide(inverse(A),inverse(D)))),C),
    inference(para,[status(thm),theory(equality)],[1425,1424]),
    [iquote('para(1425,1424)')] ).

cnf(1464,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(C))),B),multiply(double_divide(inverse(A),multiply(D,inverse(C))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1443,2]),2]),
    [iquote('para(1443,2),demod([2])')] ).

cnf(1511,plain,
    equal(double_divide(A,double_divide(multiply(double_divide(inverse(B),multiply(C,inverse(D))),C),multiply(A,multiply(double_divide(B,E),E)))),D),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1430,1161]),2]),
    [iquote('para(1430,1161),demod([2])')] ).

cnf(1512,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,double_divide(D,double_divide(inverse(E),multiply(D,inverse(C)))))))),double_divide(E,B)),
    inference(para,[status(thm),theory(equality)],[1431,1161]),
    [iquote('para(1431,1161)')] ).

cnf(1530,plain,
    equal(double_divide(A,double_divide(multiply(double_divide(multiply(B,C),multiply(D,inverse(E))),D),multiply(A,multiply(double_divide(double_divide(C,B),F),F)))),E),
    inference(para,[status(thm),theory(equality)],[2,1511]),
    [iquote('para(2,1511)')] ).

cnf(1537,plain,
    equal(double_divide(A,double_divide(double_divide(B,double_divide(inverse(multiply(C,D)),multiply(B,inverse(E)))),double_divide(inverse(A),inverse(E)))),double_divide(D,C)),
    inference(para,[status(thm),theory(equality)],[1425,1427]),
    [iquote('para(1425,1427)')] ).

cnf(1614,plain,
    equal(multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,inverse(D))),multiply(double_divide(inverse(A),multiply(E,inverse(D))),E)),
    inference(para,[status(thm),theory(equality)],[320,1464]),
    [iquote('para(320,1464)')] ).

cnf(1615,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(C))),B),multiply(double_divide(inverse(A),multiply(double_divide(D,E),E)),double_divide(D,inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[1614]),
    [iquote('flip(1614)')] ).

cnf(1629,plain,
    equal(multiply(multiply(A,multiply(B,C)),inverse(C)),multiply(double_divide(inverse(A),multiply(double_divide(D,E),E)),double_divide(D,inverse(B)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1292,2]),2]),
    [iquote('para(1292,2),demod([2])')] ).

cnf(1630,plain,
    equal(multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,inverse(D))),multiply(multiply(A,multiply(D,E)),inverse(E))),
    inference(flip,[status(thm),theory(equality)],[1629]),
    [iquote('flip(1629)')] ).

cnf(1690,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,multiply(C,double_divide(D,double_divide(inverse(E),multiply(D,inverse(C))))))),B),multiply(A,E)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1512,2]),2]),1]),
    [iquote('para(1512,2),demod([2]),flip(1)')] ).

cnf(1799,plain,
    equal(double_divide(multiply(double_divide(A,B),B),double_divide(inverse(C),multiply(double_divide(A,multiply(double_divide(D,E),E)),C))),D),
    inference(para,[status(thm),theory(equality)],[551,1161]),
    [iquote('para(551,1161)')] ).

cnf(2013,plain,
    equal(double_divide(A,double_divide(inverse(multiply(double_divide(B,C),C)),A)),B),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1799,385]),1]),
    [iquote('para(1799,385),flip(1)')] ).

cnf(2014,plain,
    equal(multiply(double_divide(inverse(multiply(double_divide(A,B),B)),C),C),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2013,2]),1]),
    [iquote('para(2013,2),flip(1)')] ).

cnf(2021,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(A,inverse(C)))),double_divide(inverse(multiply(double_divide(C,D),D)),B)),
    inference(para,[status(thm),theory(equality)],[2014,1161]),
    [iquote('para(2014,1161)')] ).

cnf(2025,plain,
    equal(multiply(A,inverse(multiply(double_divide(B,C),C))),multiply(double_divide(inverse(A),multiply(D,inverse(B))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2021,2]),2]),
    [iquote('para(2021,2),demod([2])')] ).

cnf(2035,plain,
    equal(double_divide(double_divide(A,inverse(multiply(double_divide(B,C),C))),double_divide(D,double_divide(A,D))),B),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2013,353]),1]),
    [iquote('para(2013,353),flip(1)')] ).

cnf(2253,plain,
    equal(multiply(inverse(A),inverse(B)),multiply(double_divide(multiply(multiply(C,B),inverse(multiply(double_divide(A,D),D))),multiply(E,inverse(C))),E)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2014,1195]),2]),
    [iquote('para(2014,1195),demod([2])')] ).

cnf(2254,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),inverse(multiply(double_divide(C,D),D))),multiply(E,inverse(A))),E),multiply(inverse(C),inverse(B))),
    inference(flip,[status(thm),theory(equality)],[2253]),
    [iquote('flip(2253)')] ).

cnf(2280,plain,
    equal(multiply(A,inverse(multiply(B,double_divide(C,double_divide(inverse(D),multiply(C,inverse(B))))))),multiply(double_divide(inverse(A),multiply(E,inverse(D))),E)),
    inference(para,[status(thm),theory(equality)],[1424,2025]),
    [iquote('para(1424,2025)')] ).

cnf(2281,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(C))),B),multiply(A,inverse(multiply(D,double_divide(E,double_divide(inverse(C),multiply(E,inverse(D)))))))),
    inference(flip,[status(thm),theory(equality)],[2280]),
    [iquote('flip(2280)')] ).

cnf(2300,plain,
    equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),inverse(C)),C),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2013,549]),2014]),1]),
    [iquote('para(2013,549),demod([2014]),flip(1)')] ).

cnf(2302,plain,
    equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),multiply(C,D)),double_divide(D,C)),
    inference(para,[status(thm),theory(equality)],[2,2300]),
    [iquote('para(2,2300)')] ).

cnf(2303,plain,
    equal(multiply(A,inverse(A)),multiply(double_divide(multiply(B,multiply(double_divide(B,C),C)),D),D)),
    inference(para,[status(thm),theory(equality)],[2300,320]),
    [iquote('para(2300,320)')] ).

cnf(2304,plain,
    equal(multiply(double_divide(multiply(A,multiply(double_divide(A,B),B)),C),C),multiply(D,inverse(D))),
    inference(flip,[status(thm),theory(equality)],[2303]),
    [iquote('flip(2303)')] ).

cnf(2336,plain,
    equal(double_divide(double_divide(A,B),double_divide(inverse(A),multiply(C,inverse(C)))),B),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2300,3]),2302]),
    [iquote('para(2300,3),demod([2302])')] ).

cnf(2337,plain,
    equal(inverse(A),multiply(double_divide(inverse(B),multiply(C,inverse(C))),double_divide(B,A))),
    inference(para,[status(thm),theory(equality)],[2336,2]),
    [iquote('para(2336,2)')] ).

cnf(2338,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(B))),double_divide(A,C)),inverse(C)),
    inference(flip,[status(thm),theory(equality)],[2337]),
    [iquote('flip(2337)')] ).

cnf(2339,plain,
    equal(double_divide(double_divide(double_divide(A,B),C),double_divide(multiply(B,A),multiply(D,inverse(D)))),C),
    inference(para,[status(thm),theory(equality)],[2,2336]),
    [iquote('para(2,2336)')] ).

cnf(2344,plain,
    equal(double_divide(double_divide(inverse(A),multiply(B,inverse(B))),C),double_divide(D,double_divide(double_divide(A,C),D))),
    inference(para,[status(thm),theory(equality)],[2336,385]),
    [iquote('para(2336,385)')] ).

cnf(2347,plain,
    equal(inverse(A),multiply(double_divide(multiply(B,C),multiply(D,inverse(D))),double_divide(double_divide(C,B),A))),
    inference(para,[status(thm),theory(equality)],[2339,2]),
    [iquote('para(2339,2)')] ).

cnf(2348,plain,
    equal(multiply(double_divide(multiply(A,B),multiply(C,inverse(C))),double_divide(double_divide(B,A),D)),inverse(D)),
    inference(flip,[status(thm),theory(equality)],[2347]),
    [iquote('flip(2347)')] ).

cnf(2362,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(C,inverse(C)))),double_divide(D,double_divide(inverse(B),multiply(D,inverse(A))))),
    inference(para,[status(thm),theory(equality)],[1424,2336]),
    [iquote('para(1424,2336)')] ).

cnf(2368,plain,
    equal(double_divide(A,double_divide(multiply(B,C),multiply(A,inverse(B)))),double_divide(inverse(C),multiply(D,inverse(D)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2338,1161]),2]),
    [iquote('para(2338,1161),demod([2])')] ).

cnf(2386,plain,
    equal(double_divide(A,double_divide(multiply(double_divide(B,C),D),multiply(A,multiply(C,B)))),double_divide(inverse(D),multiply(E,inverse(E)))),
    inference(para,[status(thm),theory(equality)],[2,2368]),
    [iquote('para(2,2368)')] ).

cnf(2387,plain,
    equal(double_divide(inverse(A),multiply(B,inverse(B))),double_divide(C,double_divide(multiply(double_divide(D,E),A),multiply(C,multiply(E,D))))),
    inference(flip,[status(thm),theory(equality)],[2386]),
    [iquote('flip(2386)')] ).

cnf(2413,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(C))),B),multiply(double_divide(inverse(A),multiply(D,inverse(D))),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2362,2]),2]),
    [iquote('para(2362,2),demod([2])')] ).

cnf(2418,plain,
    equal(multiply(double_divide(multiply(A,B),multiply(C,inverse(D))),C),multiply(double_divide(multiply(A,B),multiply(E,inverse(E))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,2413]),2]),
    [iquote('para(2,2413),demod([2])')] ).

cnf(2419,plain,
    equal(multiply(double_divide(multiply(A,B),multiply(C,inverse(C))),D),multiply(double_divide(multiply(A,B),multiply(E,inverse(D))),E)),
    inference(flip,[status(thm),theory(equality)],[2418]),
    [iquote('flip(2418)')] ).

cnf(2420,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,multiply(C,D))),B),multiply(double_divide(inverse(A),multiply(E,inverse(E))),double_divide(D,C))),
    inference(para,[status(thm),theory(equality)],[2,2413]),
    [iquote('para(2,2413)')] ).

cnf(2421,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(B))),double_divide(C,D)),multiply(double_divide(inverse(A),multiply(E,multiply(D,C))),E)),
    inference(flip,[status(thm),theory(equality)],[2420]),
    [iquote('flip(2420)')] ).

cnf(2451,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,inverse(C))))),double_divide(multiply(D,multiply(double_divide(D,E),E)),B)),
    inference(para,[status(thm),theory(equality)],[2304,1161]),
    [iquote('para(2304,1161)')] ).

cnf(2452,plain,
    equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),C),double_divide(D,double_divide(inverse(C),multiply(D,multiply(E,inverse(E)))))),
    inference(flip,[status(thm),theory(equality)],[2451]),
    [iquote('flip(2451)')] ).

cnf(2470,plain,
    equal(multiply(double_divide(A,double_divide(double_divide(B,C),A)),C),multiply(double_divide(double_divide(inverse(B),multiply(D,inverse(D))),E),E)),
    inference(para,[status(thm),theory(equality)],[2344,320]),
    [iquote('para(2344,320)')] ).

cnf(2471,plain,
    equal(multiply(double_divide(double_divide(inverse(A),multiply(B,inverse(B))),C),C),multiply(double_divide(D,double_divide(double_divide(A,E),D)),E)),
    inference(flip,[status(thm),theory(equality)],[2470]),
    [iquote('flip(2470)')] ).

cnf(2589,plain,
    equal(double_divide(multiply(double_divide(inverse(A),B),B),C),multiply(double_divide(multiply(C,A),D),D)),
    inference(para,[status(thm),theory(equality)],[2300,1307]),
    [iquote('para(2300,1307)')] ).

cnf(2591,plain,
    equal(inverse(multiply(double_divide(multiply(A,B),C),C)),multiply(A,multiply(double_divide(inverse(B),D),D))),
    inference(para,[status(thm),theory(equality)],[2589,2]),
    [iquote('para(2589,2)')] ).

cnf(2592,plain,
    equal(multiply(A,multiply(double_divide(inverse(B),C),C)),inverse(multiply(double_divide(multiply(A,B),D),D))),
    inference(flip,[status(thm),theory(equality)],[2591]),
    [iquote('flip(2591)')] ).

cnf(2607,plain,
    equal(multiply(double_divide(multiply(double_divide(A,double_divide(inverse(multiply(double_divide(inverse(B),C),C)),multiply(A,inverse(D)))),B),E),E),D),
    inference(para,[status(thm),theory(equality)],[2589,1424]),
    [iquote('para(2589,1424)')] ).

cnf(2623,plain,
    equal(double_divide(A,double_divide(multiply(B,double_divide(C,D)),multiply(A,inverse(B)))),double_divide(multiply(D,C),multiply(E,inverse(E)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2348,1161]),2]),
    [iquote('para(2348,1161),demod([2])')] ).

cnf(2624,plain,
    equal(double_divide(multiply(A,B),multiply(C,inverse(C))),double_divide(D,double_divide(multiply(E,double_divide(B,A)),multiply(D,inverse(E))))),
    inference(flip,[status(thm),theory(equality)],[2623]),
    [iquote('flip(2623)')] ).

cnf(2637,plain,
    equal(double_divide(inverse(multiply(double_divide(multiply(inverse(A),A),B),B)),inverse(C)),C),
    inference(para,[status(thm),theory(equality)],[2592,2300]),
    [iquote('para(2592,2300)')] ).

cnf(2640,plain,
    equal(multiply(A,inverse(A)),inverse(multiply(inverse(B),B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2637,320]),2014]),
    [iquote('para(2637,320),demod([2014])')] ).

cnf(2641,plain,
    equal(inverse(multiply(inverse(A),A)),multiply(B,inverse(B))),
    inference(flip,[status(thm),theory(equality)],[2640]),
    [iquote('flip(2640)')] ).

cnf(2645,plain,
    equal(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))),
    inference(para,[status(thm),theory(equality)],[2640,2640]),
    [iquote('para(2640,2640)')] ).

cnf(2652,plain,
    equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
    inference(para,[status(thm),theory(equality)],[2641,2641]),
    [iquote('para(2641,2641)')] ).

cnf(2667,plain,
    equal(double_divide(A,double_divide(inverse(inverse(B)),multiply(A,multiply(C,inverse(C))))),B),
    inference(para,[status(thm),theory(equality)],[2652,1161]),
    [iquote('para(2652,1161)')] ).

cnf(2683,plain,
    equal(double_divide(inverse(A),A),multiply(inverse(B),B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2641,2300]),2302]),
    [iquote('para(2641,2300),demod([2302])')] ).

cnf(2684,plain,
    equal(multiply(inverse(A),A),double_divide(inverse(B),B)),
    inference(flip,[status(thm),theory(equality)],[2683]),
    [iquote('flip(2683)')] ).

cnf(2690,plain,
    equal(multiply(inverse(A),A),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[2683,2683]),
    [iquote('para(2683,2683)')] ).

cnf(2716,plain,
    equal(double_divide(inverse(multiply(A,B)),double_divide(inverse(B),double_divide(inverse(C),C))),A),
    inference(para,[status(thm),theory(equality)],[2684,1161]),
    [iquote('para(2684,1161)')] ).

cnf(2723,plain,
    equal(double_divide(inverse(multiply(A,B)),double_divide(inverse(B),multiply(inverse(C),C))),A),
    inference(para,[status(thm),theory(equality)],[2690,1161]),
    [iquote('para(2690,1161)')] ).

cnf(2767,plain,
    equal(double_divide(multiply(A,inverse(B)),double_divide(A,multiply(inverse(C),C))),B),
    inference(para,[status(thm),theory(equality)],[2683,1424]),
    [iquote('para(2683,1424)')] ).

cnf(2806,plain,
    equal(double_divide(multiply(inverse(multiply(inverse(A),A)),inverse(B)),multiply(inverse(C),C)),B),
    inference(para,[status(thm),theory(equality)],[2683,2767]),
    [iquote('para(2683,2767)')] ).

cnf(2814,plain,
    equal(multiply(double_divide(inverse(inverse(A)),multiply(B,multiply(C,inverse(C)))),B),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2667,2]),1]),
    [iquote('para(2667,2),flip(1)')] ).

cnf(2863,plain,
    equal(double_divide(A,double_divide(B,double_divide(inverse(A),inverse(multiply(inverse(C),C))))),B),
    inference(para,[status(thm),theory(equality)],[2640,1424]),
    [iquote('para(2640,1424)')] ).

cnf(2912,plain,
    equal(double_divide(inverse(multiply(A,inverse(A))),double_divide(inverse(inverse(B)),double_divide(inverse(C),C))),B),
    inference(para,[status(thm),theory(equality)],[2684,2667]),
    [iquote('para(2684,2667)')] ).

cnf(2928,plain,
    equal(double_divide(inverse(multiply(A,multiply(inverse(B),B))),multiply(inverse(C),C)),A),
    inference(para,[status(thm),theory(equality)],[2683,2723]),
    [iquote('para(2683,2723)')] ).

cnf(2947,plain,
    equal(double_divide(inverse(multiply(inverse(A),A)),double_divide(B,multiply(inverse(C),C))),B),
    inference(para,[status(thm),theory(equality)],[2683,2863]),
    [iquote('para(2683,2863)')] ).

cnf(2948,plain,
    equal(inverse(A),multiply(double_divide(A,multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),
    inference(para,[status(thm),theory(equality)],[2947,2]),
    [iquote('para(2947,2)')] ).

cnf(2949,plain,
    equal(multiply(double_divide(A,multiply(inverse(B),B)),inverse(multiply(inverse(C),C))),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[2948]),
    [iquote('flip(2948)')] ).

cnf(2964,plain,
    equal(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[2928,2683]),
    [iquote('para(2928,2683)')] ).

cnf(2973,plain,
    equal(multiply(inverse(A),A),multiply(B,inverse(B))),
    inference(para,[status(thm),theory(equality)],[2964,2641]),
    [iquote('para(2964,2641)')] ).

cnf(2976,plain,
    equal(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
    inference(para,[status(thm),theory(equality)],[2973,2641]),
    [iquote('para(2973,2641)')] ).

cnf(2977,plain,
    equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
    inference(flip,[status(thm),theory(equality)],[2976]),
    [iquote('flip(2976)')] ).

cnf(3075,plain,
    equal(double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,inverse(C))))),inverse(B)),
    inference(para,[status(thm),theory(equality)],[2973,1161]),
    [iquote('para(2973,1161)')] ).

cnf(3076,plain,
    equal(inverse(inverse(A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2667]),3075]),
    [iquote('back_demod(2667),demod([3075])')] ).

cnf(3093,plain,
    equal(double_divide(inverse(multiply(A,inverse(A))),double_divide(B,double_divide(inverse(C),C))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2912]),3076]),
    [iquote('back_demod(2912),demod([3076])')] ).

cnf(3098,plain,
    equal(multiply(double_divide(A,multiply(B,multiply(C,inverse(C)))),B),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2814]),3076]),
    [iquote('back_demod(2814),demod([3076])')] ).

cnf(3099,plain,
    equal(inverse(A),multiply(double_divide(A,multiply(B,multiply(C,inverse(C)))),B)),
    inference(flip,[status(thm),theory(equality)],[3098]),
    [iquote('flip(3098)')] ).

cnf(3151,plain,
    equal(double_divide(A,double_divide(double_divide(B,double_divide(C,multiply(B,inverse(D)))),double_divide(inverse(A),inverse(D)))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1445]),3076]),
    [iquote('back_demod(1445),demod([3076])')] ).

cnf(3152,plain,
    equal(inverse(multiply(A,B)),double_divide(B,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1537]),3151]),
    [iquote('back_demod(1537),demod([3151])')] ).

cnf(3166,plain,
    equal(double_divide(double_divide(inverse(A),A),double_divide(B,double_divide(inverse(C),C))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3093]),3152]),
    [iquote('back_demod(3093),demod([3152])')] ).

cnf(3194,plain,
    equal(multiply(A,inverse(A)),double_divide(inverse(B),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2977]),3152]),
    [iquote('back_demod(2977),demod([3152])')] ).

cnf(3195,plain,
    equal(double_divide(inverse(A),A),multiply(B,inverse(B))),
    inference(flip,[status(thm),theory(equality)],[3194]),
    [iquote('flip(3194)')] ).

cnf(3203,plain,
    equal(multiply(double_divide(A,multiply(inverse(B),B)),double_divide(C,inverse(C))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2949]),3152]),
    [iquote('back_demod(2949),demod([3152])')] ).

cnf(3268,plain,
    equal(double_divide(multiply(double_divide(A,inverse(A)),inverse(B)),multiply(inverse(C),C)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2806]),3152]),
    [iquote('back_demod(2806),demod([3152])')] ).

cnf(3283,plain,
    equal(double_divide(double_divide(A,B),double_divide(inverse(A),double_divide(inverse(C),C))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2716]),3152]),
    [iquote('back_demod(2716),demod([3152])')] ).

cnf(3300,plain,
    equal(double_divide(A,inverse(A)),double_divide(B,inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2645]),3152,3152]),
    [iquote('back_demod(2645),demod([3152,3152])')] ).

cnf(3316,plain,
    equal(multiply(double_divide(multiply(double_divide(A,double_divide(double_divide(B,double_divide(inverse(C),B)),multiply(A,inverse(D)))),C),E),E),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2607]),3152]),
    [iquote('back_demod(2607),demod([3152])')] ).

cnf(3346,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(C))),B),multiply(A,double_divide(double_divide(D,double_divide(inverse(C),multiply(D,inverse(E)))),E))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2281]),3152]),
    [iquote('back_demod(2281),demod([3152])')] ).

cnf(3347,plain,
    equal(multiply(A,double_divide(double_divide(B,double_divide(inverse(C),multiply(B,inverse(D)))),D)),multiply(double_divide(inverse(A),multiply(E,inverse(C))),E)),
    inference(flip,[status(thm),theory(equality)],[3346]),
    [iquote('flip(3346)')] ).

cnf(3362,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),double_divide(C,double_divide(D,C))),multiply(E,inverse(A))),E),multiply(inverse(D),inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2254]),3152]),
    [iquote('back_demod(2254),demod([3152])')] ).

cnf(3363,plain,
    equal(multiply(inverse(A),inverse(B)),multiply(double_divide(multiply(multiply(C,B),double_divide(D,double_divide(A,D))),multiply(E,inverse(C))),E)),
    inference(flip,[status(thm),theory(equality)],[3362]),
    [iquote('flip(3362)')] ).

cnf(3494,plain,
    equal(double_divide(double_divide(A,double_divide(B,double_divide(C,B))),double_divide(D,double_divide(A,D))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2035]),3152]),
    [iquote('back_demod(2035),demod([3152])')] ).

cnf(3499,plain,
    equal(double_divide(A,double_divide(double_divide(double_divide(B,C),double_divide(D,double_divide(B,D))),A)),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[767]),3494]),
    [iquote('back_demod(767),demod([3494])')] ).

cnf(3500,plain,
    equal(double_divide(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(double_divide(D,B),C))),D),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[827]),3499]),1]),
    [iquote('back_demod(827),demod([3499]),flip(1)')] ).

cnf(3501,plain,
    equal(double_divide(A,double_divide(double_divide(B,double_divide(C,B)),A)),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[445]),3500]),
    [iquote('back_demod(445),demod([3500])')] ).

cnf(3508,plain,
    equal(double_divide(double_divide(A,double_divide(double_divide(B,C),A)),B),C),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[809]),3501,3501]),1]),
    [iquote('back_demod(809),demod([3501,3501]),flip(1)')] ).

cnf(3526,plain,
    equal(multiply(double_divide(double_divide(A,double_divide(B,A)),C),C),inverse(B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2014]),3152]),
    [iquote('back_demod(2014),demod([3152])')] ).

cnf(3564,plain,
    equal(multiply(double_divide(inverse(A),B),B),double_divide(C,double_divide(double_divide(double_divide(D,multiply(E,A)),D),multiply(C,inverse(E))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1306]),3152]),
    [iquote('back_demod(1306),demod([3152])')] ).

cnf(3565,plain,
    equal(double_divide(A,double_divide(double_divide(double_divide(B,multiply(C,D)),B),multiply(A,inverse(C)))),multiply(double_divide(inverse(D),E),E)),
    inference(flip,[status(thm),theory(equality)],[3564]),
    [iquote('flip(3564)')] ).

cnf(3597,plain,
    equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),C),inverse(C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2452]),3075]),
    [iquote('back_demod(2452),demod([3075])')] ).

cnf(3598,plain,
    equal(inverse(A),double_divide(multiply(B,multiply(double_divide(B,C),C)),A)),
    inference(flip,[status(thm),theory(equality)],[3597]),
    [iquote('flip(3597)')] ).

cnf(3599,plain,
    equal(double_divide(inverse(A),A),double_divide(B,inverse(B))),
    inference(para,[status(thm),theory(equality)],[3076,3300]),
    [iquote('para(3076,3300)')] ).

cnf(3631,plain,
    equal(multiply(A,multiply(B,multiply(double_divide(B,C),C))),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3598,3076]),2]),
    [iquote('para(3598,3076),demod([2])')] ).

cnf(3714,plain,
    equal(double_divide(A,double_divide(B,double_divide(inverse(A),multiply(B,C)))),inverse(C)),
    inference(para,[status(thm),theory(equality)],[3076,1424]),
    [iquote('para(3076,1424)')] ).

cnf(3715,plain,
    equal(inverse(A),double_divide(B,double_divide(C,double_divide(inverse(B),multiply(C,A))))),
    inference(flip,[status(thm),theory(equality)],[3714]),
    [iquote('flip(3714)')] ).

cnf(3736,plain,
    equal(double_divide(A,double_divide(B,multiply(A,multiply(C,inverse(C))))),B),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3099,3076]),3152]),
    [iquote('para(3099,3076),demod([3152])')] ).

cnf(3742,plain,
    equal(double_divide(A,double_divide(B,multiply(A,multiply(inverse(C),C)))),B),
    inference(para,[status(thm),theory(equality)],[3076,3736]),
    [iquote('para(3076,3736)')] ).

cnf(3757,plain,
    equal(double_divide(double_divide(A,inverse(A)),double_divide(B,double_divide(inverse(C),C))),B),
    inference(para,[status(thm),theory(equality)],[3076,3166]),
    [iquote('para(3076,3166)')] ).

cnf(3758,plain,
    equal(double_divide(double_divide(inverse(A),A),double_divide(B,double_divide(C,inverse(C)))),B),
    inference(para,[status(thm),theory(equality)],[3076,3166]),
    [iquote('para(3076,3166)')] ).

cnf(3782,plain,
    equal(multiply(double_divide(A,double_divide(inverse(B),multiply(A,C))),B),C),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3715,3076]),2]),
    [iquote('para(3715,3076),demod([2])')] ).

cnf(3788,plain,
    equal(double_divide(double_divide(A,inverse(A)),double_divide(B,double_divide(C,inverse(C)))),B),
    inference(para,[status(thm),theory(equality)],[3076,3757]),
    [iquote('para(3076,3757)')] ).

cnf(3829,plain,
    equal(multiply(double_divide(A,multiply(inverse(B),B)),double_divide(inverse(C),C)),inverse(A)),
    inference(para,[status(thm),theory(equality)],[3076,3203]),
    [iquote('para(3076,3203)')] ).

cnf(3830,plain,
    equal(inverse(A),multiply(double_divide(A,multiply(inverse(B),B)),double_divide(inverse(C),C))),
    inference(flip,[status(thm),theory(equality)],[3829]),
    [iquote('flip(3829)')] ).

cnf(3868,plain,
    equal(double_divide(multiply(double_divide(inverse(A),A),inverse(B)),multiply(inverse(C),C)),B),
    inference(para,[status(thm),theory(equality)],[3076,3268]),
    [iquote('para(3076,3268)')] ).

cnf(3895,plain,
    equal(multiply(double_divide(inverse(A),multiply(inverse(B),B)),double_divide(inverse(C),C)),A),
    inference(para,[status(thm),theory(equality)],[3830,3076]),
    [iquote('para(3830,3076)')] ).

cnf(3995,plain,
    equal(multiply(double_divide(A,inverse(A)),B),multiply(double_divide(inverse(B),C),C)),
    inference(para,[status(thm),theory(equality)],[3599,320]),
    [iquote('para(3599,320)')] ).

cnf(4026,plain,
    equal(multiply(A,multiply(inverse(B),multiply(double_divide(C,inverse(C)),B))),A),
    inference(para,[status(thm),theory(equality)],[3599,3631]),
    [iquote('para(3599,3631)')] ).

cnf(4095,plain,
    equal(inverse(A),multiply(double_divide(A,multiply(B,multiply(inverse(C),C))),B)),
    inference(para,[status(thm),theory(equality)],[3742,2]),
    [iquote('para(3742,2)')] ).

cnf(4233,plain,
    equal(multiply(double_divide(double_divide(A,multiply(B,inverse(B))),C),C),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3195,3526]),3076]),
    [iquote('para(3195,3526),demod([3076])')] ).

cnf(4234,plain,
    equal(inverse(A),multiply(double_divide(B,double_divide(double_divide(A,C),B)),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2471]),4233]),
    [iquote('back_demod(2471),demod([4233])')] ).

cnf(4238,plain,
    equal(double_divide(A,double_divide(B,double_divide(double_divide(C,A),B))),C),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4234,3076]),3152]),
    [iquote('para(4234,3076),demod([3152])')] ).

cnf(4293,plain,
    equal(multiply(double_divide(double_divide(A,double_divide(B,inverse(B))),C),C),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3599,3526]),3076]),
    [iquote('para(3599,3526),demod([3076])')] ).

cnf(4294,plain,
    equal(multiply(double_divide(double_divide(A,double_divide(inverse(B),B)),C),C),A),
    inference(para,[status(thm),theory(equality)],[3076,4293]),
    [iquote('para(3076,4293)')] ).

cnf(4442,plain,
    equal(multiply(double_divide(A,double_divide(B,inverse(B))),multiply(A,C)),C),
    inference(para,[status(thm),theory(equality)],[3599,3782]),
    [iquote('para(3599,3782)')] ).

cnf(4597,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,multiply(multiply(C,D),A))),B),double_divide(D,C)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3152,1164]),1]),
    [iquote('para(3152,1164),flip(1)')] ).

cnf(4734,plain,
    equal(inverse(A),multiply(double_divide(A,double_divide(inverse(B),B)),double_divide(C,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[3757,2]),
    [iquote('para(3757,2)')] ).

cnf(4737,plain,
    equal(multiply(double_divide(inverse(A),double_divide(inverse(B),B)),double_divide(C,inverse(C))),A),
    inference(para,[status(thm),theory(equality)],[4734,3076]),
    [iquote('para(4734,3076)')] ).

cnf(4739,plain,
    equal(inverse(A),multiply(double_divide(A,double_divide(B,inverse(B))),double_divide(inverse(C),C))),
    inference(para,[status(thm),theory(equality)],[3758,2]),
    [iquote('para(3758,2)')] ).

cnf(4742,plain,
    equal(multiply(double_divide(inverse(A),double_divide(B,inverse(B))),double_divide(inverse(C),C)),A),
    inference(para,[status(thm),theory(equality)],[4739,3076]),
    [iquote('para(4739,3076)')] ).

cnf(4772,plain,
    equal(inverse(A),multiply(double_divide(A,double_divide(B,inverse(B))),double_divide(C,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[3788,2]),
    [iquote('para(3788,2)')] ).

cnf(4774,plain,
    equal(multiply(double_divide(inverse(A),double_divide(B,inverse(B))),double_divide(C,inverse(C))),A),
    inference(para,[status(thm),theory(equality)],[4772,3076]),
    [iquote('para(4772,3076)')] ).

cnf(4791,plain,
    equal(multiply(double_divide(multiply(A,B),double_divide(B,A)),C),multiply(double_divide(inverse(C),D),D)),
    inference(para,[status(thm),theory(equality)],[3152,3995]),
    [iquote('para(3152,3995)')] ).

cnf(4792,plain,
    equal(multiply(double_divide(inverse(A),B),B),multiply(double_divide(multiply(C,D),double_divide(D,C)),A)),
    inference(flip,[status(thm),theory(equality)],[4791]),
    [iquote('flip(4791)')] ).

cnf(4827,plain,
    equal(multiply(A,multiply(inverse(B),multiply(double_divide(multiply(C,D),double_divide(D,C)),B))),A),
    inference(para,[status(thm),theory(equality)],[3152,4026]),
    [iquote('para(3152,4026)')] ).

cnf(4842,plain,
    equal(multiply(double_divide(double_divide(A,B),multiply(C,multiply(inverse(D),D))),C),multiply(B,A)),
    inference(para,[status(thm),theory(equality)],[4095,2]),
    [iquote('para(4095,2)')] ).

cnf(4945,plain,
    equal(double_divide(A,double_divide(B,A)),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4238,385]),3508]),1]),
    [iquote('para(4238,385),demod([3508]),flip(1)')] ).

cnf(4970,plain,
    equal(multiply(double_divide(inverse(A),B),B),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3316]),4945,3782]),
    [iquote('back_demod(3316),demod([4945,3782])')] ).

cnf(5010,plain,
    equal(multiply(double_divide(multiply(A,B),double_divide(B,A)),C),C),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4792]),4970]),1]),
    [iquote('back_demod(4792),demod([4970]),flip(1)')] ).

cnf(5011,plain,
    equal(multiply(A,multiply(inverse(B),B)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4827]),5010]),
    [iquote('back_demod(4827),demod([5010])')] ).

cnf(5012,plain,
    equal(multiply(double_divide(double_divide(A,B),C),C),multiply(B,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4842]),5011]),
    [iquote('back_demod(4842),demod([5011])')] ).

cnf(5024,plain,
    equal(multiply(double_divide(inverse(A),A),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4294]),5012]),
    [iquote('back_demod(4294),demod([5012])')] ).

cnf(5025,plain,
    equal(double_divide(inverse(A),multiply(inverse(B),B)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3868]),5024]),
    [iquote('back_demod(3868),demod([5024])')] ).

cnf(5026,plain,
    equal(multiply(A,double_divide(inverse(B),B)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3895]),5025]),
    [iquote('back_demod(3895),demod([5025])')] ).

cnf(5027,plain,
    equal(double_divide(inverse(A),double_divide(B,inverse(B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4742]),5026]),
    [iquote('back_demod(4742),demod([5026])')] ).

cnf(5028,plain,
    equal(multiply(A,double_divide(B,inverse(B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4774]),5027]),
    [iquote('back_demod(4774),demod([5027])')] ).

cnf(5031,plain,
    equal(double_divide(inverse(A),double_divide(inverse(B),B)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4737]),5028]),
    [iquote('back_demod(4737),demod([5028])')] ).

cnf(5033,plain,
    equal(double_divide(double_divide(A,B),A),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3283]),5031]),
    [iquote('back_demod(3283),demod([5031])')] ).

cnf(5038,plain,
    equal(double_divide(A,double_divide(multiply(B,C),multiply(A,inverse(B)))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3565]),5033,4970]),
    [iquote('back_demod(3565),demod([5033,4970])')] ).

cnf(5039,plain,
    equal(double_divide(multiply(A,B),multiply(C,inverse(C))),double_divide(B,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2624]),5038]),
    [iquote('back_demod(2624),demod([5038])')] ).

cnf(5046,plain,
    equal(multiply(double_divide(multiply(A,B),multiply(C,inverse(D))),C),multiply(double_divide(B,A),D)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2419]),5039]),1]),
    [iquote('back_demod(2419),demod([5039]),flip(1)')] ).

cnf(5047,plain,
    equal(multiply(inverse(A),inverse(B)),multiply(double_divide(A,multiply(C,B)),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3363]),4945,5046]),
    [iquote('back_demod(3363),demod([4945,5046])')] ).

cnf(5048,plain,
    equal(multiply(double_divide(A,multiply(B,C)),B),multiply(inverse(A),inverse(C))),
    inference(flip,[status(thm),theory(equality)],[5047]),
    [iquote('flip(5047)')] ).

cnf(5054,plain,
    equal(double_divide(A,double_divide(multiply(double_divide(B,C),D),multiply(A,multiply(C,B)))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1530]),5046,5012]),
    [iquote('back_demod(1530),demod([5046,5012])')] ).

cnf(5055,plain,
    equal(double_divide(inverse(A),multiply(B,inverse(B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2387]),5054]),
    [iquote('back_demod(2387),demod([5054])')] ).

cnf(5094,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,multiply(C,D))),B),multiply(A,double_divide(D,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2421]),5055]),1]),
    [iquote('back_demod(2421),demod([5055]),flip(1)')] ).

cnf(5095,plain,
    equal(multiply(A,double_divide(A,multiply(B,C))),double_divide(C,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4597]),5094]),
    [iquote('back_demod(4597),demod([5094])')] ).

cnf(5100,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(multiply(double_divide(A,D),D),multiply(E,double_divide(E,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1101]),4970,5095]),
    [iquote('back_demod(1101),demod([4970,5095])')] ).

cnf(5101,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,double_divide(C,D))),multiply(multiply(double_divide(A,E),E),inverse(D))),
    inference(flip,[status(thm),theory(equality)],[5100]),
    [iquote('flip(5100)')] ).

cnf(5187,plain,
    equal(multiply(A,double_divide(double_divide(B,double_divide(inverse(C),multiply(B,inverse(D)))),D)),multiply(A,C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1690]),5094]),
    [iquote('back_demod(1690),demod([5094])')] ).

cnf(5188,plain,
    equal(multiply(double_divide(inverse(A),multiply(B,inverse(C))),B),multiply(A,C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3347]),5187]),1]),
    [iquote('back_demod(3347),demod([5187]),flip(1)')] ).

cnf(5205,plain,
    equal(multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,inverse(D))),multiply(A,D)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1615]),5188]),1]),
    [iquote('back_demod(1615),demod([5188]),flip(1)')] ).

cnf(5210,plain,
    equal(multiply(multiply(A,multiply(B,C)),inverse(C)),multiply(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1630]),5205]),1]),
    [iquote('back_demod(1630),demod([5205]),flip(1)')] ).

cnf(5834,plain,
    equal(multiply(double_divide(multiply(multiply(A,double_divide(B,C)),D),multiply(E,F)),double_divide(double_divide(F,E),inverse(A))),multiply(multiply(double_divide(D,G),G),multiply(C,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[244]),4970,4970]),
    [iquote('back_demod(244),demod([4970,4970])')] ).

cnf(5835,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,D)),multiply(double_divide(multiply(multiply(E,double_divide(D,C)),A),multiply(F,G)),double_divide(double_divide(G,F),inverse(E)))),
    inference(flip,[status(thm),theory(equality)],[5834]),
    [iquote('flip(5834)')] ).

cnf(5838,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),double_divide(C,D)),multiply(double_divide(E,F),F)),double_divide(E,inverse(A))),multiply(multiply(D,C),inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[236]),4970,4970]),
    [iquote('back_demod(236),demod([4970,4970])')] ).

cnf(5839,plain,
    equal(multiply(multiply(A,B),inverse(C)),multiply(double_divide(multiply(multiply(D,C),double_divide(B,A)),multiply(double_divide(E,F),F)),double_divide(E,inverse(D)))),
    inference(flip,[status(thm),theory(equality)],[5838]),
    [iquote('flip(5838)')] ).

cnf(5840,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),C),multiply(D,E)),double_divide(double_divide(E,D),inverse(A))),multiply(multiply(double_divide(C,F),F),inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[227]),4970,4970]),
    [iquote('back_demod(227),demod([4970,4970])')] ).

cnf(5841,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(double_divide(multiply(multiply(D,C),A),multiply(E,F)),double_divide(double_divide(F,E),inverse(D)))),
    inference(flip,[status(thm),theory(equality)],[5840]),
    [iquote('flip(5840)')] ).

cnf(5991,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),multiply(multiply(E,double_divide(E,A)),multiply(double_divide(C,F),F))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[737]),4945]),
    [iquote('back_demod(737),demod([4945])')] ).

cnf(5992,plain,
    equal(multiply(multiply(A,double_divide(A,B)),multiply(double_divide(C,D),D)),multiply(multiply(double_divide(B,E),E),multiply(double_divide(C,F),F))),
    inference(flip,[status(thm),theory(equality)],[5991]),
    [iquote('flip(5991)')] ).

cnf(6000,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,double_divide(C,D))),multiply(multiply(double_divide(A,E),E),multiply(double_divide(D,F),F))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[620]),4945]),
    [iquote('back_demod(620),demod([4945])')] ).

cnf(6001,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),multiply(multiply(double_divide(A,E),E),multiply(F,double_divide(F,C)))),
    inference(flip,[status(thm),theory(equality)],[6000]),
    [iquote('flip(6000)')] ).

cnf(6003,plain,
    equal(multiply(double_divide(A,multiply(B,double_divide(C,D))),B),multiply(multiply(E,double_divide(E,A)),multiply(D,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[603]),4945,4945]),
    [iquote('back_demod(603),demod([4945,4945])')] ).

cnf(6004,plain,
    equal(multiply(multiply(A,double_divide(A,B)),multiply(C,D)),multiply(double_divide(B,multiply(E,double_divide(D,C))),E)),
    inference(flip,[status(thm),theory(equality)],[6003]),
    [iquote('flip(6003)')] ).

cnf(6298,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(multiply(double_divide(multiply(C,D),multiply(double_divide(E,F),F)),double_divide(E,multiply(G,double_divide(D,C)))),multiply(double_divide(H,I),I)),double_divide(H,multiply(J,G)))),multiply(double_divide(multiply(multiply(double_divide(K,L),J),A),multiply(double_divide(M,N),N)),double_divide(M,multiply(L,K)))),
    inference(para,[status(thm),theory(equality)],[75,41]),
    [iquote('para(75,41)')] ).

cnf(6299,plain,
    equal(multiply(double_divide(multiply(multiply(double_divide(A,B),C),D),multiply(double_divide(E,F),F)),double_divide(E,multiply(B,A))),multiply(multiply(double_divide(D,G),G),multiply(double_divide(multiply(double_divide(multiply(H,I),multiply(double_divide(J,K),K)),double_divide(J,multiply(L,double_divide(I,H)))),multiply(double_divide(M,N),N)),double_divide(M,multiply(C,L))))),
    inference(flip,[status(thm),theory(equality)],[6298]),
    [iquote('flip(6298)')] ).

cnf(6803,plain,
    equal(multiply(A,multiply(inverse(A),B)),B),
    inference(para,[status(thm),theory(equality)],[4945,4442]),
    [iquote('para(4945,4442)')] ).

cnf(6804,plain,
    equal(inverse(A),double_divide(multiply(inverse(B),A),B)),
    inference(para,[status(thm),theory(equality)],[6803,3152]),
    [iquote('para(6803,3152)')] ).

cnf(6805,plain,
    equal(double_divide(multiply(inverse(A),B),A),inverse(B)),
    inference(flip,[status(thm),theory(equality)],[6804]),
    [iquote('flip(6804)')] ).

cnf(6823,plain,
    equal(double_divide(inverse(A),multiply(inverse(B),A)),B),
    inference(para,[status(thm),theory(equality)],[6805,5033]),
    [iquote('para(6805,5033)')] ).

cnf(6824,plain,
    equal(double_divide(A,multiply(inverse(B),inverse(A))),B),
    inference(para,[status(thm),theory(equality)],[3076,6823]),
    [iquote('para(3076,6823)')] ).

cnf(6829,plain,
    equal(multiply(inverse(A),inverse(B)),double_divide(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6824,5033]),1]),
    [iquote('para(6824,5033),flip(1)')] ).

cnf(6832,plain,
    equal(multiply(double_divide(A,multiply(B,C)),B),double_divide(A,C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5048]),6829]),
    [iquote('back_demod(5048),demod([6829])')] ).

cnf(6834,plain,
    equal(multiply(multiply(A,double_divide(A,B)),multiply(C,D)),double_divide(B,double_divide(D,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6004]),6832]),
    [iquote('back_demod(6004),demod([6832])')] ).

cnf(6835,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),double_divide(A,C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5992]),6834,4945]),1]),
    [iquote('back_demod(5992),demod([6834,4945]),flip(1)')] ).

cnf(6836,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,double_divide(C,D))),double_divide(A,D)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6001]),6835]),1]),
    [iquote('back_demod(6001),demod([6835]),flip(1)')] ).

cnf(6837,plain,
    equal(multiply(multiply(double_divide(A,B),B),inverse(C)),double_divide(A,C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5101]),6836]),1]),
    [iquote('back_demod(5101),demod([6836]),flip(1)')] ).

cnf(6876,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),C),multiply(D,E)),double_divide(double_divide(E,D),inverse(A))),double_divide(C,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5841]),6837]),1]),
    [iquote('back_demod(5841),demod([6837]),flip(1)')] ).

cnf(6877,plain,
    equal(multiply(multiply(double_divide(A,B),B),multiply(C,D)),double_divide(A,double_divide(D,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5835]),6876]),
    [iquote('back_demod(5835),demod([6876])')] ).

cnf(6890,plain,
    equal(multiply(double_divide(multiply(multiply(double_divide(A,B),C),D),multiply(double_divide(E,F),F)),double_divide(E,multiply(B,A))),double_divide(D,C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6299]),6877,29]),
    [iquote('back_demod(6299),demod([6877,29])')] ).

cnf(7117,plain,
    equal(multiply(double_divide(multiply(multiply(A,B),C),multiply(double_divide(D,E),E)),double_divide(D,inverse(A))),double_divide(C,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[160]),6890]),
    [iquote('back_demod(160),demod([6890])')] ).

cnf(7121,plain,
    equal(multiply(multiply(A,B),inverse(C)),double_divide(double_divide(B,A),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5839]),7117]),
    [iquote('back_demod(5839),demod([7117])')] ).

cnf(7877,plain,
    equal(double_divide(double_divide(multiply(A,B),C),B),multiply(C,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5210]),7121]),
    [iquote('back_demod(5210),demod([7121])')] ).

cnf(9291,plain,
    equal(double_divide(multiply(A,B),double_divide(multiply(B,C),A)),C),
    inference(para,[status(thm),theory(equality)],[7877,5033]),
    [iquote('para(7877,5033)')] ).

cnf(9304,plain,
    equal(double_divide(A,multiply(B,C)),double_divide(multiply(C,A),B)),
    inference(para,[status(thm),theory(equality)],[9291,5033]),
    [iquote('para(9291,5033)')] ).

cnf(9559,plain,
    equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9304,2]),2]),1]),
    [iquote('para(9304,2),demod([2]),flip(1)')] ).

cnf(9560,plain,
    $false,
    inference(conflict,[status(thm)],[9559,4]),
    [iquote('conflict(9559,4)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP504-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 12:05:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 2.23/2.56  ----- EQP 0.9e, May 2009 -----
% 2.23/2.56  The job began on n020.cluster.edu, Mon Jun 13 12:05:36 2022
% 2.23/2.56  The command was "./eqp09e".
% 2.23/2.56  
% 2.23/2.56  set(prolog_style_variables).
% 2.23/2.56  set(lrpo).
% 2.23/2.56  set(basic_paramod).
% 2.23/2.56  set(functional_subsume).
% 2.23/2.56  set(ordered_paramod).
% 2.23/2.56  set(prime_paramod).
% 2.23/2.56  set(para_pairs).
% 2.23/2.56  assign(pick_given_ratio,4).
% 2.23/2.56  clear(print_kept).
% 2.23/2.56  clear(print_new_demod).
% 2.23/2.56  clear(print_back_demod).
% 2.23/2.56  clear(print_given).
% 2.23/2.56  assign(max_mem,64000).
% 2.23/2.56  end_of_commands.
% 2.23/2.56  
% 2.23/2.56  Usable:
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  Sos:
% 2.23/2.56  0 (wt=-1) [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C.
% 2.23/2.56  0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 2.23/2.56  0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  Demodulators:
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  Passive:
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  Starting to process input.
% 2.23/2.56  
% 2.23/2.56  ** KEPT: 1 (wt=18) [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C.
% 2.23/2.56  1 is a new demodulator.
% 2.23/2.56  
% 2.23/2.56  ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 2.23/2.56  2 is a new demodulator.
% 2.23/2.56      -> 2 back demodulating 1.
% 2.23/2.56  
% 2.23/2.56  ** KEPT: 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 2.23/2.56  3 is a new demodulator.
% 2.23/2.56  
% 2.23/2.56  ** KEPT: 4 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 2.23/2.56  ---------------- PROOF FOUND ----------------
% 2.23/2.56  % SZS status Unsatisfiable
% 2.23/2.56  
% 2.23/2.56  
% 2.23/2.56  After processing input:
% 2.23/2.56  
% 2.23/2.56  Usable:
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  Sos:
% 2.23/2.56  2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 2.23/2.56  4 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 2.23/2.56  3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  Demodulators:
% 2.23/2.56  2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 2.23/2.56  3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  Passive:
% 2.23/2.56  end_of_list.
% 2.23/2.56  
% 2.23/2.56  UNIT CONFLICT from 9559 and 4 at   1.08 seconds.
% 2.23/2.56  
% 2.23/2.56  ---------------- PROOF ----------------
% 2.23/2.56  % SZS output start Refutation
% See solution above
% 2.23/2.56  ------------ end of proof -------------
% 2.23/2.56  
% 2.23/2.56  
% 2.23/2.56  ------------- memory usage ------------
% 2.23/2.56  Memory dynamically allocated (tp_alloc): 20019.
% 2.23/2.56    type (bytes each)        gets      frees     in use      avail      bytes
% 2.23/2.56  sym_ent (  96)               58          0         58          0      5.4 K
% 2.23/2.56  term (  16)              897103     595081     302022         60   5862.7 K
% 2.23/2.56  gen_ptr (   8)          1780419     308127    1472292        294  11504.6 K
% 2.23/2.56  context ( 808)           550672     550670          2          4      4.7 K
% 2.23/2.56  trail (  12)             131084     131084          0         19      0.2 K
% 2.23/2.56  bt_node (  68)           104945     104942          3         38      2.7 K
% 2.23/2.56  ac_position (285432)          0          0          0          0      0.0 K
% 2.23/2.56  ac_match_pos (14044)          0          0          0          0      0.0 K
% 2.23/2.56  ac_match_free_vars_pos (4020)
% 2.23/2.56                                0          0          0          0      0.0 K
% 2.23/2.56  discrim (  12)           185195     121811      63384      18178    955.8 K
% 2.23/2.56  flat (  40)             2696056    2696056          0         80      3.1 K
% 2.23/2.56  discrim_pos (  12)        26432      26432          0          1      0.0 K
% 2.23/2.56  fpa_head (  12)           13759          0      13759          0    161.2 K
% 2.23/2.56  fpa_tree (  28)           22557      22557          0         33      0.9 K
% 2.23/2.56  fpa_pos (  36)            11877      11877          0          1      0.0 K
% 2.23/2.56  literal (  12)            42211      32652       9559          1    112.0 K
% 2.23/2.56  clause (  24)             42211      32652       9559          1    224.1 K
% 2.23/2.56  list (  12)                2377       2321         56         27      1.0 K
% 2.23/2.56  list_pos (  20)           44937      27699      17238          0    336.7 K
% 2.23/2.56  pair_index (   40)              2          0          2          0      0.1 K
% 2.23/2.56  
% 2.23/2.56  -------------- statistics -------------
% 2.23/2.56  Clauses input                  3
% 2.23/2.56    Usable input                   0
% 2.23/2.56    Sos input                      3
% 2.23/2.56    Demodulators input             0
% 2.23/2.56    Passive input                  0
% 2.23/2.56  
% 2.23/2.56  Processed BS (before search)   4
% 2.23/2.56  Forward subsumed BS            0
% 2.23/2.56  Kept BS                        4
% 2.23/2.56  New demodulators BS            3
% 2.23/2.56  Back demodulated BS            1
% 2.23/2.56  
% 2.23/2.56  Clauses or pairs given     15279
% 2.23/2.56  Clauses generated          22662
% 2.23/2.56  Forward subsumed           13107
% 2.23/2.56  Deleted by weight              0
% 2.23/2.56  Deleted by variable count      0
% 2.23/2.56  Kept                        9555
% 2.23/2.56  New demodulators            2315
% 2.23/2.56  Back demodulated            6169
% 2.23/2.56  Ordered paramod prunes         0
% 2.23/2.56  Basic paramod prunes       67038
% 2.23/2.56  Prime paramod prunes         604
% 2.23/2.56  Semantic prunes                0
% 2.23/2.56  
% 2.23/2.56  Rewrite attmepts          363334
% 2.23/2.56  Rewrites                   16230
% 2.23/2.56  
% 2.23/2.56  FPA overloads                  0
% 2.23/2.56  FPA underloads                 0
% 2.23/2.56  
% 2.23/2.56  Usable size                    0
% 2.23/2.56  Sos size                    3388
% 2.23/2.56  Demodulators size            904
% 2.23/2.56  Passive size                   0
% 2.23/2.56  Disabled size               6170
% 2.23/2.56  
% 2.23/2.56  Proofs found                   1
% 2.23/2.56  
% 2.23/2.56  ----------- times (seconds) ----------- Mon Jun 13 12:05:37 2022
% 2.23/2.56  
% 2.23/2.56  user CPU time             1.09   (0 hr, 0 min, 1 sec)
% 2.23/2.56  system CPU time           0.31   (0 hr, 0 min, 0 sec)
% 2.23/2.56  wall-clock time           1      (0 hr, 0 min, 1 sec)
% 2.23/2.56  input time                0.00
% 2.23/2.56  paramodulation time       0.06
% 2.23/2.56  demodulation time         0.11
% 2.23/2.56  orient time               0.06
% 2.23/2.56  weigh time                0.02
% 2.23/2.56  forward subsume time      0.05
% 2.23/2.56  back demod find time      0.10
% 2.23/2.56  conflict time             0.01
% 2.23/2.56  LRPO time                 0.03
% 2.23/2.56  store clause time         0.39
% 2.23/2.56  disable clause time       0.17
% 2.23/2.56  prime paramod time        0.02
% 2.23/2.56  semantics time            0.00
% 2.23/2.56  
% 2.23/2.56  EQP interrupted
%------------------------------------------------------------------------------