TSTP Solution File: GRP500-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP500-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n012.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 08:47:42 EDT 2022
% Result : Unsatisfiable 1.34s 1.74s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 2
% Syntax : Number of clauses : 141 ( 141 unt; 0 nHn; 4 RR)
% Number of literals : 141 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 645 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))),C),
file('GRP500-1.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(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))),D),
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(inverse(b2),b2),a2),a2),
file('GRP500-1.p',unknown),
[] ).
cnf(5,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(D,E),double_divide(B,A)))),E),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(9,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),multiply(D,A))),multiply(double_divide(E,double_divide(F,E)),multiply(double_divide(F,D),C))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(10,plain,
equal(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,C),D)),double_divide(inverse(E),multiply(double_divide(F,double_divide(inverse(D),F)),multiply(C,E)))),
inference(flip,[status(thm),theory(equality)],[9]),
[iquote('flip(9)')] ).
cnf(16,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(multiply(C,D),B)),multiply(E,A))),multiply(double_divide(F,double_divide(G,F)),multiply(double_divide(G,E),double_divide(D,C)))),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(59,plain,
equal(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(inverse(C),D)),C)),D),
inference(para,[status(thm),theory(equality)],[9,3]),
[iquote('para(9,3)')] ).
cnf(60,plain,
equal(double_divide(inverse(multiply(double_divide(A,double_divide(inverse(B),C)),B)),multiply(double_divide(D,double_divide(E,D)),C)),double_divide(A,E)),
inference(para,[status(thm),theory(equality)],[59,3]),
[iquote('para(59,3)')] ).
cnf(79,plain,
equal(double_divide(inverse(multiply(double_divide(A,B),C)),multiply(double_divide(D,double_divide(E,D)),double_divide(inverse(F),multiply(double_divide(G,double_divide(inverse(C),G)),multiply(B,F))))),double_divide(A,E)),
inference(para,[status(thm),theory(equality)],[10,3]),
[iquote('para(10,3)')] ).
cnf(80,plain,
equal(double_divide(inverse(A),double_divide(inverse(B),multiply(double_divide(C,double_divide(inverse(A),C)),multiply(D,B)))),D),
inference(para,[status(thm),theory(equality)],[10,3]),
[iquote('para(10,3)')] ).
cnf(81,plain,
equal(double_divide(multiply(A,B),double_divide(inverse(C),multiply(double_divide(D,double_divide(multiply(A,B),D)),multiply(E,C)))),E),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,80]),2]),
[iquote('para(2,80),demod([2])')] ).
cnf(99,plain,
equal(double_divide(A,inverse(B)),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(D,double_divide(E,double_divide(A,E))),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,9]),79]),
[iquote('para(10,9),demod([79])')] ).
cnf(100,plain,
equal(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(C,double_divide(D,C))),E)),double_divide(D,inverse(E))),
inference(flip,[status(thm),theory(equality)],[99]),
[iquote('flip(99)')] ).
cnf(117,plain,
equal(double_divide(inverse(A),double_divide(B,inverse(A))),double_divide(C,double_divide(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[59,80]),60]),
[iquote('para(59,80),demod([60])')] ).
cnf(119,plain,
equal(double_divide(multiply(A,B),double_divide(C,multiply(A,B))),double_divide(D,double_divide(C,D))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,117]),2]),
[iquote('para(2,117),demod([2])')] ).
cnf(125,plain,
equal(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(B,C))),
inference(para,[status(thm),theory(equality)],[117,117]),
[iquote('para(117,117)')] ).
cnf(126,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)],[125,2]),2]),
[iquote('para(125,2),demod([2])')] ).
cnf(127,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)],[125,126]),
[iquote('para(125,126)')] ).
cnf(139,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),D))),A),
inference(para,[status(thm),theory(equality)],[126,3]),
[iquote('para(126,3)')] ).
cnf(143,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(D,E),E))),double_divide(B,A)),
inference(para,[status(thm),theory(equality)],[2,139]),
[iquote('para(2,139)')] ).
cnf(182,plain,
equal(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(multiply(C,D),E)),double_divide(D,C))),E),
inference(para,[status(thm),theory(equality)],[16,3]),
[iquote('para(16,3)')] ).
cnf(237,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(A,E),E))),double_divide(B,D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[127,3]),2]),
[iquote('para(127,3),demod([2])')] ).
cnf(450,plain,
equal(double_divide(A,double_divide(B,A)),double_divide(double_divide(C,B),double_divide(D,double_divide(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[127,143]),143]),
[iquote('para(127,143),demod([143])')] ).
cnf(451,plain,
equal(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(B,D))),
inference(flip,[status(thm),theory(equality)],[450]),
[iquote('flip(450)')] ).
cnf(785,plain,
equal(double_divide(inverse(multiply(double_divide(A,double_divide(multiply(B,C),D)),double_divide(C,B))),multiply(double_divide(E,double_divide(F,E)),D)),double_divide(A,F)),
inference(para,[status(thm),theory(equality)],[182,3]),
[iquote('para(182,3)')] ).
cnf(936,plain,
equal(double_divide(inverse(multiply(double_divide(A,double_divide(multiply(B,C),double_divide(D,E))),double_divide(C,B))),multiply(double_divide(E,F),F)),double_divide(A,D)),
inference(para,[status(thm),theory(equality)],[126,785]),
[iquote('para(126,785)')] ).
cnf(965,plain,
equal(multiply(double_divide(A,B),multiply(double_divide(C,D),D)),multiply(double_divide(inverse(multiply(double_divide(A,double_divide(multiply(E,F),double_divide(B,C))),double_divide(F,E))),G),G)),
inference(para,[status(thm),theory(equality)],[936,126]),
[iquote('para(936,126)')] ).
cnf(966,plain,
equal(multiply(double_divide(inverse(multiply(double_divide(A,double_divide(multiply(B,C),double_divide(D,E))),double_divide(C,B))),F),F),multiply(double_divide(A,D),multiply(double_divide(E,G),G))),
inference(flip,[status(thm),theory(equality)],[965]),
[iquote('flip(965)')] ).
cnf(1194,plain,
equal(double_divide(A,double_divide(inverse(B),multiply(double_divide(C,double_divide(A,C)),multiply(D,B)))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[59,81]),59]),
[iquote('para(59,81),demod([59])')] ).
cnf(1195,plain,
equal(inverse(A),multiply(double_divide(inverse(B),multiply(double_divide(C,double_divide(D,C)),multiply(A,B))),D)),
inference(para,[status(thm),theory(equality)],[1194,2]),
[iquote('para(1194,2)')] ).
cnf(1196,plain,
equal(multiply(double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(D,A))),C),inverse(D)),
inference(flip,[status(thm),theory(equality)],[1195]),
[iquote('flip(1195)')] ).
cnf(1252,plain,
equal(double_divide(double_divide(A,B),double_divide(inverse(C),multiply(double_divide(double_divide(D,double_divide(A,D)),double_divide(E,double_divide(B,E))),multiply(F,C)))),F),
inference(para,[status(thm),theory(equality)],[451,1194]),
[iquote('para(451,1194)')] ).
cnf(1288,plain,
equal(inverse(A),multiply(double_divide(inverse(B),multiply(double_divide(double_divide(C,double_divide(D,C)),double_divide(E,double_divide(F,E))),multiply(A,B))),double_divide(D,F))),
inference(para,[status(thm),theory(equality)],[1252,2]),
[iquote('para(1252,2)')] ).
cnf(1314,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),inverse(D))),multiply(double_divide(E,double_divide(A,E)),multiply(D,C))),
inference(para,[status(thm),theory(equality)],[1196,3]),
[iquote('para(1196,3)')] ).
cnf(1339,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,inverse(C)),double_divide(D,double_divide(B,D))),inverse(E))),multiply(double_divide(F,double_divide(A,F)),multiply(E,C))),
inference(para,[status(thm),theory(equality)],[125,1314]),
[iquote('para(125,1314)')] ).
cnf(1369,plain,
~ equal(multiply(multiply(multiply(double_divide(inverse(A),multiply(double_divide(double_divide(B,double_divide(C,B)),double_divide(D,double_divide(E,D))),multiply(b2,A))),double_divide(C,E)),b2),a2),a2),
inference(para,[status(thm),theory(equality)],[1288,4]),
[iquote('para(1288,4)')] ).
cnf(1427,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(double_divide(C,inverse(D)),double_divide(E,double_divide(C,E))),inverse(F))),multiply(double_divide(G,double_divide(double_divide(B,A),G)),multiply(F,D))),
inference(para,[status(thm),theory(equality)],[2,1339]),
[iquote('para(2,1339)')] ).
cnf(1428,plain,
equal(multiply(double_divide(A,double_divide(double_divide(B,C),A)),multiply(D,E)),double_divide(multiply(C,B),multiply(double_divide(double_divide(F,inverse(E)),double_divide(G,double_divide(F,G))),inverse(D)))),
inference(flip,[status(thm),theory(equality)],[1427]),
[iquote('flip(1427)')] ).
cnf(1583,plain,
equal(double_divide(inverse(A),double_divide(B,multiply(double_divide(B,C),C))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[100,139]),2]),
[iquote('para(100,139),demod([2])')] ).
cnf(1584,plain,
equal(double_divide(multiply(A,B),double_divide(C,multiply(double_divide(C,D),D))),double_divide(B,A)),
inference(para,[status(thm),theory(equality)],[2,1583]),
[iquote('para(2,1583)')] ).
cnf(1585,plain,
equal(multiply(double_divide(A,multiply(double_divide(A,B),B)),inverse(C)),inverse(C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1583,2]),1]),
[iquote('para(1583,2),flip(1)')] ).
cnf(1588,plain,
equal(multiply(A,double_divide(B,multiply(double_divide(B,C),C))),multiply(double_divide(inverse(A),D),D)),
inference(para,[status(thm),theory(equality)],[1583,126]),
[iquote('para(1583,126)')] ).
cnf(1590,plain,
equal(multiply(double_divide(A,multiply(double_divide(A,B),B)),multiply(C,D)),multiply(C,D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1584,2]),2]),1]),
[iquote('para(1584,2),demod([2]),flip(1)')] ).
cnf(1638,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),multiply(C,A))),double_divide(D,multiply(double_divide(D,E),E))),
inference(para,[status(thm),theory(equality)],[1583,3]),
[iquote('para(1583,3)')] ).
cnf(1643,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),multiply(double_divide(inverse(D),E),E))),A),
inference(para,[status(thm),theory(equality)],[1583,139]),
[iquote('para(1583,139)')] ).
cnf(1645,plain,
equal(double_divide(inverse(A),double_divide(inverse(B),multiply(double_divide(double_divide(C,multiply(double_divide(C,D),D)),A),multiply(E,B)))),E),
inference(para,[status(thm),theory(equality)],[1583,1194]),
[iquote('para(1583,1194)')] ).
cnf(1788,plain,
equal(double_divide(A,double_divide(B,multiply(double_divide(B,C),C))),double_divide(multiply(double_divide(D,double_divide(inverse(E),A)),E),double_divide(F,double_divide(D,F)))),
inference(para,[status(thm),theory(equality)],[59,1584]),
[iquote('para(59,1584)')] ).
cnf(2084,plain,
equal(multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)),multiply(double_divide(inverse(C),D),D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1638,126]),1590]),
[iquote('para(1638,126),demod([1590])')] ).
cnf(2156,plain,
equal(double_divide(A,double_divide(inverse(B),A)),double_divide(multiply(C,B),double_divide(D,double_divide(inverse(C),D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2084,1584]),1584]),
[iquote('para(2084,1584),demod([1584])')] ).
cnf(2160,plain,
equal(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),double_divide(multiply(D,B),double_divide(E,double_divide(inverse(D),E)))),
inference(para,[status(thm),theory(equality)],[125,2156]),
[iquote('para(125,2156)')] ).
cnf(2161,plain,
equal(double_divide(multiply(A,B),double_divide(C,double_divide(inverse(A),C))),double_divide(double_divide(D,inverse(B)),double_divide(E,double_divide(D,E)))),
inference(flip,[status(thm),theory(equality)],[2160]),
[iquote('flip(2160)')] ).
cnf(2162,plain,
equal(multiply(double_divide(multiply(A,B),double_divide(C,double_divide(inverse(A),C))),double_divide(inverse(B),D)),multiply(double_divide(D,E),E)),
inference(para,[status(thm),theory(equality)],[2156,126]),
[iquote('para(2156,126)')] ).
cnf(2171,plain,
equal(double_divide(double_divide(A,multiply(double_divide(A,B),B)),C),double_divide(multiply(D,C),double_divide(E,double_divide(inverse(D),E)))),
inference(para,[status(thm),theory(equality)],[1583,2156]),
[iquote('para(1583,2156)')] ).
cnf(2173,plain,
equal(multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)),multiply(C,double_divide(D,multiply(double_divide(D,E),E)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2171,2]),2]),
[iquote('para(2171,2),demod([2])')] ).
cnf(2178,plain,
equal(multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)),multiply(double_divide(D,double_divide(E,D)),double_divide(E,inverse(C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2160,2]),2]),
[iquote('para(2160,2),demod([2])')] ).
cnf(2212,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),multiply(B,D)),multiply(D,double_divide(E,multiply(double_divide(E,F),F)))),
inference(para,[status(thm),theory(equality)],[125,2173]),
[iquote('para(125,2173)')] ).
cnf(2213,plain,
equal(multiply(A,double_divide(B,multiply(double_divide(B,C),C))),multiply(double_divide(double_divide(D,inverse(E)),double_divide(F,double_divide(D,F))),multiply(E,A))),
inference(flip,[status(thm),theory(equality)],[2212]),
[iquote('flip(2212)')] ).
cnf(2253,plain,
equal(multiply(A,multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),multiply(double_divide(inverse(D),E),E))),multiply(double_divide(inverse(A),F),F)),
inference(para,[status(thm),theory(equality)],[1643,126]),
[iquote('para(1643,126)')] ).
cnf(2254,plain,
equal(multiply(double_divide(inverse(A),B),B),multiply(A,multiply(double_divide(double_divide(C,multiply(double_divide(C,D),D)),E),multiply(double_divide(inverse(E),F),F)))),
inference(flip,[status(thm),theory(equality)],[2253]),
[iquote('flip(2253)')] ).
cnf(2260,plain,
equal(double_divide(inverse(multiply(A,B)),double_divide(inverse(B),multiply(double_divide(double_divide(C,multiply(double_divide(C,D),D)),E),E))),A),
inference(para,[status(thm),theory(equality)],[126,1645]),
[iquote('para(126,1645)')] ).
cnf(2298,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(inverse(E),D))),multiply(double_divide(multiply(E,B),F),F)),
inference(para,[status(thm),theory(equality)],[2161,126]),
[iquote('para(2161,126)')] ).
cnf(2299,plain,
equal(multiply(double_divide(multiply(A,B),C),C),multiply(double_divide(double_divide(D,inverse(B)),double_divide(E,double_divide(D,E))),double_divide(F,double_divide(inverse(A),F)))),
inference(flip,[status(thm),theory(equality)],[2298]),
[iquote('flip(2298)')] ).
cnf(2300,plain,
equal(multiply(double_divide(double_divide(inverse(A),inverse(B)),C),C),multiply(double_divide(multiply(A,B),D),D)),
inference(para,[status(thm),theory(equality)],[2162,126]),
[iquote('para(2162,126)')] ).
cnf(2335,plain,
equal(double_divide(A,double_divide(multiply(B,C),A)),double_divide(D,double_divide(double_divide(inverse(B),inverse(C)),D))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2300,1584]),1584]),
[iquote('para(2300,1584),demod([1584])')] ).
cnf(2337,plain,
equal(double_divide(double_divide(A,multiply(B,C)),double_divide(D,double_divide(A,D))),double_divide(E,double_divide(double_divide(inverse(B),inverse(C)),E))),
inference(para,[status(thm),theory(equality)],[125,2335]),
[iquote('para(125,2335)')] ).
cnf(2351,plain,
equal(multiply(double_divide(double_divide(inverse(A),inverse(B)),C),C),multiply(double_divide(D,double_divide(E,D)),double_divide(E,multiply(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2337,2]),2]),
[iquote('para(2337,2),demod([2])')] ).
cnf(2355,plain,
equal(multiply(double_divide(double_divide(multiply(A,B),inverse(C)),D),D),multiply(double_divide(E,double_divide(F,E)),double_divide(F,multiply(double_divide(B,A),C)))),
inference(para,[status(thm),theory(equality)],[2,2351]),
[iquote('para(2,2351)')] ).
cnf(2356,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,multiply(double_divide(C,D),E))),multiply(double_divide(double_divide(multiply(D,C),inverse(E)),F),F)),
inference(flip,[status(thm),theory(equality)],[2355]),
[iquote('flip(2355)')] ).
cnf(2359,plain,
equal(double_divide(A,double_divide(inverse(B),A)),double_divide(C,double_divide(double_divide(multiply(multiply(double_divide(D,E),E),D),inverse(inverse(B))),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1585,2335]),2]),
[iquote('para(1585,2335),demod([2])')] ).
cnf(2365,plain,
equal(multiply(double_divide(double_divide(multiply(multiply(double_divide(A,B),B),A),inverse(inverse(C))),D),D),multiply(double_divide(inverse(C),E),E)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2359,2]),2]),
[iquote('para(2359,2),demod([2])')] ).
cnf(2369,plain,
equal(multiply(double_divide(double_divide(multiply(multiply(double_divide(A,B),B),A),inverse(multiply(C,D))),E),E),multiply(double_divide(multiply(C,D),F),F)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,2365]),2]),
[iquote('para(2,2365),demod([2])')] ).
cnf(2370,plain,
equal(multiply(double_divide(multiply(A,B),C),C),multiply(double_divide(double_divide(multiply(multiply(double_divide(D,E),E),D),inverse(multiply(A,B))),F),F)),
inference(flip,[status(thm),theory(equality)],[2369]),
[iquote('flip(2369)')] ).
cnf(2389,plain,
equal(double_divide(double_divide(A,multiply(double_divide(A,B),B)),double_divide(C,D)),double_divide(E,double_divide(double_divide(inverse(D),inverse(C)),E))),
inference(para,[status(thm),theory(equality)],[1584,2335]),
[iquote('para(1584,2335)')] ).
cnf(2391,plain,
equal(multiply(double_divide(double_divide(inverse(A),inverse(B)),C),C),multiply(double_divide(B,A),double_divide(D,multiply(double_divide(D,E),E)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2389,2]),2]),
[iquote('para(2389,2),demod([2])')] ).
cnf(2414,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),multiply(B,D)),multiply(double_divide(E,double_divide(F,E)),double_divide(F,inverse(D)))),
inference(para,[status(thm),theory(equality)],[125,2178]),
[iquote('para(125,2178)')] ).
cnf(2415,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),multiply(double_divide(double_divide(D,inverse(E)),double_divide(F,double_divide(D,F))),multiply(E,C))),
inference(flip,[status(thm),theory(equality)],[2414]),
[iquote('flip(2414)')] ).
cnf(2416,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),A)),multiply(double_divide(C,D),D)),multiply(double_divide(E,double_divide(F,E)),double_divide(F,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[126,2178]),2]),
[iquote('para(126,2178),demod([2])')] ).
cnf(2417,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),multiply(double_divide(D,double_divide(multiply(C,E),D)),multiply(double_divide(E,F),F))),
inference(flip,[status(thm),theory(equality)],[2416]),
[iquote('flip(2416)')] ).
cnf(2423,plain,
equal(multiply(A,double_divide(inverse(B),multiply(double_divide(double_divide(C,multiply(double_divide(C,D),D)),E),E))),multiply(double_divide(inverse(multiply(A,B)),F),F)),
inference(para,[status(thm),theory(equality)],[2260,126]),
[iquote('para(2260,126)')] ).
cnf(2424,plain,
equal(multiply(double_divide(inverse(multiply(A,B)),C),C),multiply(A,double_divide(inverse(B),multiply(double_divide(double_divide(D,multiply(double_divide(D,E),E)),F),F)))),
inference(flip,[status(thm),theory(equality)],[2423]),
[iquote('flip(2423)')] ).
cnf(2436,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,double_divide(inverse(C),inverse(D)))),multiply(double_divide(E,double_divide(F,E)),double_divide(F,multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[125,2351]),
[iquote('para(125,2351)')] ).
cnf(2437,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,multiply(C,D))),multiply(double_divide(E,double_divide(F,E)),double_divide(F,double_divide(inverse(C),inverse(D))))),
inference(flip,[status(thm),theory(equality)],[2436]),
[iquote('flip(2436)')] ).
cnf(2445,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,double_divide(inverse(C),inverse(D)))),multiply(double_divide(D,C),double_divide(E,multiply(double_divide(E,F),F)))),
inference(para,[status(thm),theory(equality)],[125,2391]),
[iquote('para(125,2391)')] ).
cnf(2446,plain,
equal(multiply(double_divide(A,B),double_divide(C,multiply(double_divide(C,D),D))),multiply(double_divide(E,double_divide(F,E)),double_divide(F,double_divide(inverse(B),inverse(A))))),
inference(flip,[status(thm),theory(equality)],[2445]),
[iquote('flip(2445)')] ).
cnf(2514,plain,
equal(multiply(double_divide(A,multiply(double_divide(A,B),B)),C),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1788,2]),2,59]),1]),
[iquote('para(1788,2),demod([2,59]),flip(1)')] ).
cnf(2516,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),A)),multiply(double_divide(C,D),D)),
inference(para,[status(thm),theory(equality)],[2514,3]),
[iquote('para(2514,3)')] ).
cnf(2518,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(C,double_divide(A,C)),D),inverse(D))),
inference(para,[status(thm),theory(equality)],[2516,2]),
[iquote('para(2516,2)')] ).
cnf(2519,plain,
equal(multiply(multiply(double_divide(A,double_divide(B,A)),C),inverse(C)),inverse(multiply(double_divide(B,D),D))),
inference(flip,[status(thm),theory(equality)],[2518]),
[iquote('flip(2518)')] ).
cnf(2527,plain,
equal(double_divide(A,multiply(double_divide(A,B),B)),multiply(double_divide(multiply(multiply(double_divide(C,D),D),C),E),E)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2514,1588]),2]),
[iquote('para(2514,1588),demod([2])')] ).
cnf(2529,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,C),double_divide(D,double_divide(B,D))),A)),multiply(double_divide(C,E),E)),
inference(para,[status(thm),theory(equality)],[125,2516]),
[iquote('para(125,2516)')] ).
cnf(2531,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,double_divide(A,C)),D)),multiply(double_divide(inverse(D),E),E)),
inference(para,[status(thm),theory(equality)],[2516,126]),
[iquote('para(2516,126)')] ).
cnf(2532,plain,
equal(multiply(double_divide(inverse(A),B),B),multiply(multiply(double_divide(C,D),D),multiply(double_divide(E,double_divide(C,E)),A))),
inference(flip,[status(thm),theory(equality)],[2531]),
[iquote('flip(2531)')] ).
cnf(2533,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(A,C),C)),multiply(double_divide(B,D),D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[126,2516]),2]),
[iquote('para(126,2516),demod([2])')] ).
cnf(2537,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(C,D),D),multiply(C,A))),
inference(para,[status(thm),theory(equality)],[2533,2]),
[iquote('para(2533,2)')] ).
cnf(2538,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(A,C)),inverse(multiply(double_divide(C,D),D))),
inference(flip,[status(thm),theory(equality)],[2537]),
[iquote('flip(2537)')] ).
cnf(2543,plain,
equal(double_divide(A,multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),D)),multiply(double_divide(A,E),E)),
inference(para,[status(thm),theory(equality)],[2514,2533]),
[iquote('para(2514,2533)')] ).
cnf(2599,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(double_divide(C,A),double_divide(D,double_divide(C,D))),E),inverse(E))),
inference(para,[status(thm),theory(equality)],[2529,2]),
[iquote('para(2529,2)')] ).
cnf(2600,plain,
equal(multiply(multiply(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),D),inverse(D)),inverse(multiply(double_divide(B,E),E))),
inference(flip,[status(thm),theory(equality)],[2599]),
[iquote('flip(2599)')] ).
cnf(2646,plain,
equal(double_divide(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),double_divide(E,double_divide(multiply(A,C),E))),
inference(para,[status(thm),theory(equality)],[2533,119]),
[iquote('para(2533,119)')] ).
cnf(2710,plain,
equal(double_divide(A,multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(double_divide(D,multiply(double_divide(D,E),E)),F),F))),double_divide(A,C)),
inference(para,[status(thm),theory(equality)],[2514,237]),
[iquote('para(2514,237)')] ).
cnf(2814,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),A)),multiply(double_divide(C,D),D)),multiply(double_divide(multiply(double_divide(B,E),E),F),F)),
inference(para,[status(thm),theory(equality)],[2646,126]),
[iquote('para(2646,126)')] ).
cnf(2815,plain,
equal(multiply(double_divide(multiply(double_divide(A,B),B),C),C),multiply(double_divide(D,double_divide(multiply(A,E),D)),multiply(double_divide(E,F),F))),
inference(flip,[status(thm),theory(equality)],[2814]),
[iquote('flip(2814)')] ).
cnf(2971,plain,
equal(double_divide(inverse(A),multiply(double_divide(multiply(multiply(double_divide(B,C),C),B),D),D)),A),
inference(para,[status(thm),theory(equality)],[2527,1583]),
[iquote('para(2527,1583)')] ).
cnf(2976,plain,
equal(multiply(A,multiply(double_divide(multiply(multiply(double_divide(B,C),C),B),D),D)),multiply(double_divide(inverse(A),E),E)),
inference(para,[status(thm),theory(equality)],[2971,126]),
[iquote('para(2971,126)')] ).
cnf(2977,plain,
equal(multiply(double_divide(inverse(A),B),B),multiply(A,multiply(double_divide(multiply(multiply(double_divide(C,D),D),C),E),E))),
inference(flip,[status(thm),theory(equality)],[2976]),
[iquote('flip(2976)')] ).
cnf(3021,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),D)),A),
inference(para,[status(thm),theory(equality)],[2543,1583]),
[iquote('para(2543,1583)')] ).
cnf(3022,plain,
equal(multiply(double_divide(inverse(multiply(A,B)),C),C),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2424]),3021]),
[iquote('back_demod(2424),demod([3021])')] ).
cnf(3027,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),double_divide(D,E))),double_divide(C,B)),multiply(double_divide(A,D),multiply(double_divide(E,F),F))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[966]),3022]),
[iquote('back_demod(966),demod([3022])')] ).
cnf(3028,plain,
equal(multiply(double_divide(A,B),multiply(double_divide(C,D),D)),multiply(double_divide(A,double_divide(multiply(E,F),double_divide(B,C))),double_divide(F,E))),
inference(flip,[status(thm),theory(equality)],[3027]),
[iquote('flip(3027)')] ).
cnf(3036,plain,
equal(double_divide(inverse(multiply(A,B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2260]),3021]),
[iquote('back_demod(2260),demod([3021])')] ).
cnf(3042,plain,
equal(multiply(A,double_divide(B,multiply(double_divide(B,C),C))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3036,1583]),1]),
[iquote('para(3036,1583),flip(1)')] ).
cnf(3068,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,double_divide(inverse(C),inverse(D)))),double_divide(D,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2446]),3042]),1]),
[iquote('back_demod(2446),demod([3042]),flip(1)')] ).
cnf(3069,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,multiply(C,D))),double_divide(D,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2437]),3068]),
[iquote('back_demod(2437),demod([3068])')] ).
cnf(3074,plain,
equal(multiply(double_divide(double_divide(multiply(A,B),inverse(C)),D),D),double_divide(C,double_divide(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2356]),3069]),1]),
[iquote('back_demod(2356),demod([3069]),flip(1)')] ).
cnf(3090,plain,
equal(multiply(double_divide(multiply(A,B),C),C),double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2370]),3074,1584]),
[iquote('back_demod(2370),demod([3074,1584])')] ).
cnf(3097,plain,
equal(multiply(double_divide(inverse(A),B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2977]),3090,3042]),
[iquote('back_demod(2977),demod([3090,3042])')] ).
cnf(3110,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,double_divide(A,C)),D)),D),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2532]),3097]),1]),
[iquote('back_demod(2532),demod([3097]),flip(1)')] ).
cnf(3129,plain,
equal(multiply(A,multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),D)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2254]),3097,3097]),1]),
[iquote('back_demod(2254),demod([3097,3097]),flip(1)')] ).
cnf(3130,plain,
equal(double_divide(A,double_divide(B,double_divide(C,B))),double_divide(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2710]),3129]),
[iquote('back_demod(2710),demod([3129])')] ).
cnf(3173,plain,
equal(multiply(multiply(double_divide(double_divide(A,B),A),C),inverse(C)),inverse(multiply(double_divide(B,D),D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2600]),3130]),
[iquote('back_demod(2600),demod([3130])')] ).
cnf(3174,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(double_divide(C,A),C),D),inverse(D))),
inference(flip,[status(thm),theory(equality)],[3173]),
[iquote('flip(3173)')] ).
cnf(3189,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),multiply(double_divide(double_divide(D,inverse(E)),D),multiply(E,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2415]),3130]),
[iquote('back_demod(2415),demod([3130])')] ).
cnf(3190,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),multiply(B,C)),multiply(double_divide(D,double_divide(E,D)),double_divide(E,inverse(C)))),
inference(flip,[status(thm),theory(equality)],[3189]),
[iquote('flip(3189)')] ).
cnf(3203,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),double_divide(C,double_divide(inverse(D),C))),double_divide(B,D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2299]),3090,3130]),1]),
[iquote('back_demod(2299),demod([3090,3130]),flip(1)')] ).
cnf(3218,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),multiply(B,C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2213]),3042,3130]),1]),
[iquote('back_demod(2213),demod([3042,3130]),flip(1)')] ).
cnf(3219,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3190]),3218]),1]),
[iquote('back_demod(3190),demod([3218]),flip(1)')] ).
cnf(3220,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),A)),multiply(double_divide(C,D),D)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2417]),3219]),1]),
[iquote('back_demod(2417),demod([3219]),flip(1)')] ).
cnf(3222,plain,
equal(double_divide(A,double_divide(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2815]),3090,3220]),
[iquote('back_demod(2815),demod([3090,3220])')] ).
cnf(3229,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),inverse(C)),double_divide(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3203]),3222]),
[iquote('back_demod(3203),demod([3222])')] ).
cnf(3262,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(A,C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3110]),3222]),
[iquote('back_demod(3110),demod([3222])')] ).
cnf(3266,plain,
equal(inverse(multiply(double_divide(A,B),B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2538]),3262]),1]),
[iquote('back_demod(2538),demod([3262]),flip(1)')] ).
cnf(3267,plain,
equal(multiply(multiply(double_divide(double_divide(A,B),A),C),inverse(C)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3174]),3266]),1]),
[iquote('back_demod(3174),demod([3266]),flip(1)')] ).
cnf(3277,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2519]),3222,3266]),
[iquote('back_demod(2519),demod([3222,3266])')] ).
cnf(3278,plain,
equal(double_divide(double_divide(A,B),A),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3267]),3277]),
[iquote('back_demod(3267),demod([3277])')] ).
cnf(3287,plain,
equal(multiply(inverse(A),inverse(B)),double_divide(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3229]),3278]),
[iquote('back_demod(3229),demod([3278])')] ).
cnf(4757,plain,
equal(multiply(double_divide(A,B),multiply(C,D)),double_divide(multiply(B,A),double_divide(D,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1428]),3222,3222,3278,3287]),
[iquote('back_demod(1428),demod([3222,3222,3278,3287])')] ).
cnf(4885,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),double_divide(D,E))),double_divide(C,B)),double_divide(multiply(D,A),E)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3028]),4757,3222]),1]),
[iquote('back_demod(3028),demod([4757,3222]),flip(1)')] ).
cnf(4949,plain,
~ equal(multiply(double_divide(inverse(A),A),a2),a2),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1369]),3222,3222,4757,4885,3090]),
[iquote('back_demod(1369),demod([3222,3222,4757,4885,3090])')] ).
cnf(4950,plain,
$false,
inference(conflict,[status(thm)],[4949,3097]),
[iquote('conflict(4949,3097)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP500-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 09:37:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.34/1.74 ----- EQP 0.9e, May 2009 -----
% 1.34/1.74 The job began on n012.cluster.edu, Mon Jun 13 09:37:56 2022
% 1.34/1.74 The command was "./eqp09e".
% 1.34/1.74
% 1.34/1.74 set(prolog_style_variables).
% 1.34/1.74 set(lrpo).
% 1.34/1.74 set(basic_paramod).
% 1.34/1.74 set(functional_subsume).
% 1.34/1.74 set(ordered_paramod).
% 1.34/1.74 set(prime_paramod).
% 1.34/1.74 set(para_pairs).
% 1.34/1.74 assign(pick_given_ratio,4).
% 1.34/1.74 clear(print_kept).
% 1.34/1.74 clear(print_new_demod).
% 1.34/1.74 clear(print_back_demod).
% 1.34/1.74 clear(print_given).
% 1.34/1.74 assign(max_mem,64000).
% 1.34/1.74 end_of_commands.
% 1.34/1.74
% 1.34/1.74 Usable:
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 Sos:
% 1.34/1.74 0 (wt=-1) [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C.
% 1.34/1.74 0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 1.34/1.74 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 Demodulators:
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 Passive:
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 Starting to process input.
% 1.34/1.74
% 1.34/1.74 ** KEPT: 1 (wt=18) [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C.
% 1.34/1.74 1 is a new demodulator.
% 1.34/1.74
% 1.34/1.74 ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.34/1.74 2 is a new demodulator.
% 1.34/1.74 -> 2 back demodulating 1.
% 1.34/1.74
% 1.34/1.74 ** KEPT: 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))) = D.
% 1.34/1.74 3 is a new demodulator.
% 1.34/1.74
% 1.34/1.74 ** KEPT: 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.34/1.74 ---------------- PROOF FOUND ----------------
% 1.34/1.74 % SZS status Unsatisfiable
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 After processing input:
% 1.34/1.74
% 1.34/1.74 Usable:
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 Sos:
% 1.34/1.74 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.34/1.74 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.34/1.74 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))) = D.
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 Demodulators:
% 1.34/1.74 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.34/1.74 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))) = D.
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 Passive:
% 1.34/1.74 end_of_list.
% 1.34/1.74
% 1.34/1.74 UNIT CONFLICT from 4949 and 3097 at 0.48 seconds.
% 1.34/1.74
% 1.34/1.74 ---------------- PROOF ----------------
% 1.34/1.74 % SZS output start Refutation
% See solution above
% 1.34/1.74 ------------ end of proof -------------
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 ------------- memory usage ------------
% 1.34/1.74 Memory dynamically allocated (tp_alloc): 10253.
% 1.34/1.74 type (bytes each) gets frees in use avail bytes
% 1.34/1.74 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.34/1.74 term ( 16) 412561 263638 148923 62 2890.5 K
% 1.34/1.74 gen_ptr ( 8) 871742 151720 720022 140 5626.3 K
% 1.34/1.74 context ( 808) 260121 260119 2 3 3.9 K
% 1.34/1.74 trail ( 12) 77059 77059 0 17 0.2 K
% 1.34/1.74 bt_node ( 68) 53501 53497 4 31 2.3 K
% 1.34/1.74 ac_position (285432) 0 0 0 0 0.0 K
% 1.34/1.74 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.34/1.74 ac_match_free_vars_pos (4020)
% 1.34/1.74 0 0 0 0 0.0 K
% 1.34/1.74 discrim ( 12) 86687 55996 30691 22348 621.6 K
% 1.34/1.74 flat ( 40) 1244767 1244767 0 75 2.9 K
% 1.34/1.74 discrim_pos ( 12) 12584 12584 0 1 0.0 K
% 1.34/1.74 fpa_head ( 12) 10202 0 10202 0 119.6 K
% 1.34/1.74 fpa_tree ( 28) 11139 11139 0 21 0.6 K
% 1.34/1.74 fpa_pos ( 36) 6326 6326 0 1 0.0 K
% 1.34/1.74 literal ( 12) 19601 14652 4949 1 58.0 K
% 1.34/1.74 clause ( 24) 19601 14652 4949 1 116.0 K
% 1.34/1.74 list ( 12) 1436 1367 69 5 0.9 K
% 1.34/1.74 list_pos ( 20) 25905 13492 12413 584 253.8 K
% 1.34/1.74 pair_index ( 40) 2 0 2 0 0.1 K
% 1.34/1.74
% 1.34/1.74 -------------- statistics -------------
% 1.34/1.74 Clauses input 3
% 1.34/1.74 Usable input 0
% 1.34/1.74 Sos input 3
% 1.34/1.74 Demodulators input 0
% 1.34/1.74 Passive input 0
% 1.34/1.74
% 1.34/1.74 Processed BS (before search) 4
% 1.34/1.74 Forward subsumed BS 0
% 1.34/1.74 Kept BS 4
% 1.34/1.74 New demodulators BS 3
% 1.34/1.74 Back demodulated BS 1
% 1.34/1.74
% 1.34/1.74 Clauses or pairs given 6734
% 1.34/1.74 Clauses generated 10578
% 1.34/1.74 Forward subsumed 5633
% 1.34/1.74 Deleted by weight 0
% 1.34/1.74 Deleted by variable count 0
% 1.34/1.74 Kept 4945
% 1.34/1.74 New demodulators 1374
% 1.34/1.74 Back demodulated 3060
% 1.34/1.74 Ordered paramod prunes 0
% 1.34/1.74 Basic paramod prunes 34112
% 1.34/1.74 Prime paramod prunes 5
% 1.34/1.74 Semantic prunes 0
% 1.34/1.74
% 1.34/1.74 Rewrite attmepts 168804
% 1.34/1.74 Rewrites 8507
% 1.34/1.74
% 1.34/1.74 FPA overloads 0
% 1.34/1.74 FPA underloads 0
% 1.34/1.74
% 1.34/1.74 Usable size 0
% 1.34/1.74 Sos size 1887
% 1.34/1.74 Demodulators size 477
% 1.34/1.74 Passive size 0
% 1.34/1.74 Disabled size 3061
% 1.34/1.74
% 1.34/1.74 Proofs found 1
% 1.34/1.74
% 1.34/1.74 ----------- times (seconds) ----------- Mon Jun 13 09:37:57 2022
% 1.34/1.74
% 1.34/1.74 user CPU time 0.48 (0 hr, 0 min, 0 sec)
% 1.34/1.74 system CPU time 0.17 (0 hr, 0 min, 0 sec)
% 1.34/1.74 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.34/1.74 input time 0.00
% 1.34/1.74 paramodulation time 0.04
% 1.34/1.74 demodulation time 0.04
% 1.34/1.74 orient time 0.03
% 1.34/1.74 weigh time 0.01
% 1.34/1.74 forward subsume time 0.02
% 1.34/1.74 back demod find time 0.05
% 1.34/1.74 conflict time 0.01
% 1.34/1.74 LRPO time 0.02
% 1.34/1.74 store clause time 0.13
% 1.34/1.74 disable clause time 0.09
% 1.34/1.74 prime paramod time 0.01
% 1.34/1.74 semantics time 0.00
% 1.34/1.74
% 1.34/1.74 EQP interrupted
%------------------------------------------------------------------------------