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