TSTP Solution File: GRP499-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:47:41 EDT 2022
% Result : Unsatisfiable 1.34s 1.70s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 1
% Syntax : Number of clauses : 151 ( 151 unt; 0 nHn; 5 RR)
% Number of literals : 151 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 682 ( 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('GRP499-1.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(inverse(b1),b1),multiply(inverse(a1),a1)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
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(18,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(64,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(65,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)],[64,3]),
[iquote('para(64,3)')] ).
cnf(84,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(85,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(86,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)],[2,85]),2]),
[iquote('para(2,85),demod([2])')] ).
cnf(107,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]),84]),
[iquote('para(10,9),demod([84])')] ).
cnf(108,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)],[107]),
[iquote('flip(107)')] ).
cnf(126,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)],[64,85]),65]),
[iquote('para(64,85),demod([65])')] ).
cnf(128,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)],[2,126]),2]),
[iquote('para(2,126),demod([2])')] ).
cnf(134,plain,
equal(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(B,C))),
inference(para,[status(thm),theory(equality)],[126,126]),
[iquote('para(126,126)')] ).
cnf(135,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)],[134,2]),2]),
[iquote('para(134,2),demod([2])')] ).
cnf(136,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)],[134,135]),
[iquote('para(134,135)')] ).
cnf(144,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)],[135,3]),
[iquote('para(135,3)')] ).
cnf(148,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)],[2,144]),
[iquote('para(2,144)')] ).
cnf(225,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)],[136,3]),2]),
[iquote('para(136,3),demod([2])')] ).
cnf(238,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)],[18,3]),
[iquote('para(18,3)')] ).
cnf(440,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)],[136,148]),148]),
[iquote('para(136,148),demod([148])')] ).
cnf(441,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)],[440]),
[iquote('flip(440)')] ).
cnf(794,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)],[238,3]),
[iquote('para(238,3)')] ).
cnf(947,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)],[135,794]),
[iquote('para(135,794)')] ).
cnf(979,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)],[947,135]),
[iquote('para(947,135)')] ).
cnf(980,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)],[979]),
[iquote('flip(979)')] ).
cnf(1124,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)],[64,86]),64]),
[iquote('para(64,86),demod([64])')] ).
cnf(1125,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)],[1124,2]),
[iquote('para(1124,2)')] ).
cnf(1126,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)],[1125]),
[iquote('flip(1125)')] ).
cnf(1193,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)],[441,1124]),
[iquote('para(441,1124)')] ).
cnf(1244,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)],[1193,2]),
[iquote('para(1193,2)')] ).
cnf(1265,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)],[1126,3]),
[iquote('para(1126,3)')] ).
cnf(1285,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)],[134,1265]),
[iquote('para(134,1265)')] ).
cnf(1368,plain,
~ equal(multiply(multiply(double_divide(inverse(A),multiply(double_divide(double_divide(B,double_divide(C,B)),double_divide(D,double_divide(E,D))),multiply(b1,A))),double_divide(C,E)),b1),multiply(inverse(a1),a1)),
inference(para,[status(thm),theory(equality)],[1244,4]),
[iquote('para(1244,4)')] ).
cnf(1369,plain,
~ equal(multiply(inverse(a1),a1),multiply(multiply(double_divide(inverse(A),multiply(double_divide(double_divide(B,double_divide(C,B)),double_divide(D,double_divide(E,D))),multiply(b1,A))),double_divide(C,E)),b1)),
inference(flip,[status(thm),theory(equality)],[1368]),
[iquote('flip(1368)')] ).
cnf(1394,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)],[2,1285]),
[iquote('para(2,1285)')] ).
cnf(1395,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)],[1394]),
[iquote('flip(1394)')] ).
cnf(1547,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)],[108,144]),2]),
[iquote('para(108,144),demod([2])')] ).
cnf(1548,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)],[2,1547]),
[iquote('para(2,1547)')] ).
cnf(1549,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)],[1547,2]),1]),
[iquote('para(1547,2),flip(1)')] ).
cnf(1551,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)],[1547,135]),
[iquote('para(1547,135)')] ).
cnf(1553,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)],[1548,2]),2]),1]),
[iquote('para(1548,2),demod([2]),flip(1)')] ).
cnf(1573,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)],[1547,3]),
[iquote('para(1547,3)')] ).
cnf(1576,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)],[1547,144]),
[iquote('para(1547,144)')] ).
cnf(1578,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)],[1547,1124]),
[iquote('para(1547,1124)')] ).
cnf(1686,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)],[64,1548]),
[iquote('para(64,1548)')] ).
cnf(1998,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)],[1573,135]),1553]),
[iquote('para(1573,135),demod([1553])')] ).
cnf(2076,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)],[1998,1548]),1548]),
[iquote('para(1998,1548),demod([1548])')] ).
cnf(2080,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)],[134,2076]),
[iquote('para(134,2076)')] ).
cnf(2081,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)],[2080]),
[iquote('flip(2080)')] ).
cnf(2082,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)],[2076,135]),
[iquote('para(2076,135)')] ).
cnf(2095,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)],[1547,2076]),
[iquote('para(1547,2076)')] ).
cnf(2097,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)],[2095,2]),2]),
[iquote('para(2095,2),demod([2])')] ).
cnf(2102,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)],[2080,2]),2]),
[iquote('para(2080,2),demod([2])')] ).
cnf(2140,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)],[134,2097]),
[iquote('para(134,2097)')] ).
cnf(2141,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)],[2140]),
[iquote('flip(2140)')] ).
cnf(2198,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)],[1576,135]),
[iquote('para(1576,135)')] ).
cnf(2199,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)],[2198]),
[iquote('flip(2198)')] ).
cnf(2205,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)],[135,1578]),
[iquote('para(135,1578)')] ).
cnf(2253,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)],[2081,135]),
[iquote('para(2081,135)')] ).
cnf(2254,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)],[2253]),
[iquote('flip(2253)')] ).
cnf(2258,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)],[2082,135]),
[iquote('para(2082,135)')] ).
cnf(2303,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)],[2258,1548]),1548]),
[iquote('para(2258,1548),demod([1548])')] ).
cnf(2304,plain,
equal(double_divide(A,double_divide(double_divide(inverse(B),inverse(C)),A)),double_divide(D,double_divide(multiply(B,C),D))),
inference(flip,[status(thm),theory(equality)],[2303]),
[iquote('flip(2303)')] ).
cnf(2305,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)],[134,2303]),
[iquote('para(134,2303)')] ).
cnf(2321,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)],[2305,2]),2]),
[iquote('para(2305,2),demod([2])')] ).
cnf(2323,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)],[2,2321]),
[iquote('para(2,2321)')] ).
cnf(2324,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)],[2323]),
[iquote('flip(2323)')] ).
cnf(2327,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)],[1549,2303]),2]),
[iquote('para(1549,2303),demod([2])')] ).
cnf(2337,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)],[2327,2]),2]),
[iquote('para(2327,2),demod([2])')] ).
cnf(2341,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)],[2,2337]),2]),
[iquote('para(2,2337),demod([2])')] ).
cnf(2342,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)],[2341]),
[iquote('flip(2341)')] ).
cnf(2368,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)],[1548,2303]),
[iquote('para(1548,2303)')] ).
cnf(2370,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)],[2368,2]),2]),
[iquote('para(2368,2),demod([2])')] ).
cnf(2379,plain,
equal(double_divide(A,double_divide(multiply(B,C),A)),double_divide(double_divide(D,double_divide(inverse(B),inverse(C))),double_divide(E,double_divide(D,E)))),
inference(para,[status(thm),theory(equality)],[2304,440]),
[iquote('para(2304,440)')] ).
cnf(2380,plain,
equal(double_divide(double_divide(A,double_divide(inverse(B),inverse(C))),double_divide(D,double_divide(A,D))),double_divide(E,double_divide(multiply(B,C),E))),
inference(flip,[status(thm),theory(equality)],[2379]),
[iquote('flip(2379)')] ).
cnf(2392,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)],[134,2102]),
[iquote('para(134,2102)')] ).
cnf(2393,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)],[2392]),
[iquote('flip(2392)')] ).
cnf(2394,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)],[135,2102]),2]),
[iquote('para(135,2102),demod([2])')] ).
cnf(2395,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)],[2394]),
[iquote('flip(2394)')] ).
cnf(2401,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)],[2205,135]),
[iquote('para(2205,135)')] ).
cnf(2402,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)],[2401]),
[iquote('flip(2401)')] ).
cnf(2413,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)],[134,2321]),
[iquote('para(134,2321)')] ).
cnf(2414,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)],[2413]),
[iquote('flip(2413)')] ).
cnf(2419,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)],[134,2370]),
[iquote('para(134,2370)')] ).
cnf(2420,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)],[2419]),
[iquote('flip(2419)')] ).
cnf(2491,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)],[1686,2]),2,64]),1]),
[iquote('para(1686,2),demod([2,64]),flip(1)')] ).
cnf(2495,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)],[2491,3]),
[iquote('para(2491,3)')] ).
cnf(2497,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)],[2495,2]),
[iquote('para(2495,2)')] ).
cnf(2498,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)],[2497]),
[iquote('flip(2497)')] ).
cnf(2506,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)],[2491,1551]),2]),
[iquote('para(2491,1551),demod([2])')] ).
cnf(2508,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)],[134,2495]),
[iquote('para(134,2495)')] ).
cnf(2510,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)],[2495,135]),
[iquote('para(2495,135)')] ).
cnf(2511,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)],[2510]),
[iquote('flip(2510)')] ).
cnf(2512,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)],[135,2495]),2]),
[iquote('para(135,2495),demod([2])')] ).
cnf(2514,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)],[2512,2]),
[iquote('para(2512,2)')] ).
cnf(2515,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)],[2514]),
[iquote('flip(2514)')] ).
cnf(2520,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)],[2491,2512]),
[iquote('para(2491,2512)')] ).
cnf(2574,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)],[2508,2]),
[iquote('para(2508,2)')] ).
cnf(2575,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)],[2574]),
[iquote('flip(2574)')] ).
cnf(2620,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)],[2512,128]),
[iquote('para(2512,128)')] ).
cnf(2662,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)],[2491,225]),
[iquote('para(2491,225)')] ).
cnf(2730,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)],[2620,135]),
[iquote('para(2620,135)')] ).
cnf(2731,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)],[2730]),
[iquote('flip(2730)')] ).
cnf(2890,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)],[2506,1547]),
[iquote('para(2506,1547)')] ).
cnf(2894,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)],[2890,135]),
[iquote('para(2890,135)')] ).
cnf(2895,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)],[2894]),
[iquote('flip(2894)')] ).
cnf(2936,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)],[2520,1547]),
[iquote('para(2520,1547)')] ).
cnf(2937,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)],[2402]),2936]),
[iquote('back_demod(2402),demod([2936])')] ).
cnf(2942,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)],[980]),2937]),
[iquote('back_demod(980),demod([2937])')] ).
cnf(2943,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)],[2942]),
[iquote('flip(2942)')] ).
cnf(2951,plain,
equal(double_divide(inverse(multiply(A,B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2205]),2936]),
[iquote('back_demod(2205),demod([2936])')] ).
cnf(2957,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)],[2951,1547]),1]),
[iquote('para(2951,1547),flip(1)')] ).
cnf(2983,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)],[2420]),2957]),1]),
[iquote('back_demod(2420),demod([2957]),flip(1)')] ).
cnf(2984,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)],[2414]),2983]),
[iquote('back_demod(2414),demod([2983])')] ).
cnf(2989,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)],[2324]),2984]),1]),
[iquote('back_demod(2324),demod([2984]),flip(1)')] ).
cnf(3005,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)],[2342]),2989,1548]),
[iquote('back_demod(2342),demod([2989,1548])')] ).
cnf(3012,plain,
equal(multiply(double_divide(inverse(A),B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2895]),3005,2957]),
[iquote('back_demod(2895),demod([3005,2957])')] ).
cnf(3025,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)],[2511]),3012]),1]),
[iquote('back_demod(2511),demod([3012]),flip(1)')] ).
cnf(3044,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)],[2199]),3012,3012]),1]),
[iquote('back_demod(2199),demod([3012,3012]),flip(1)')] ).
cnf(3045,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)],[2662]),3044]),
[iquote('back_demod(2662),demod([3044])')] ).
cnf(3078,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)],[2575]),3045]),
[iquote('back_demod(2575),demod([3045])')] ).
cnf(3079,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)],[3078]),
[iquote('flip(3078)')] ).
cnf(3094,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)],[2393]),3045]),
[iquote('back_demod(2393),demod([3045])')] ).
cnf(3095,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)],[3094]),
[iquote('flip(3094)')] ).
cnf(3096,plain,
equal(double_divide(double_divide(A,double_divide(inverse(B),inverse(C))),A),double_divide(D,double_divide(multiply(B,C),D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2380]),3045]),
[iquote('back_demod(2380),demod([3045])')] ).
cnf(3097,plain,
equal(double_divide(A,double_divide(multiply(B,C),A)),double_divide(double_divide(D,double_divide(inverse(B),inverse(C))),D)),
inference(flip,[status(thm),theory(equality)],[3096]),
[iquote('flip(3096)')] ).
cnf(3108,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)],[2254]),3005,3045]),1]),
[iquote('back_demod(2254),demod([3005,3045]),flip(1)')] ).
cnf(3123,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)],[2141]),2957,3045]),1]),
[iquote('back_demod(2141),demod([2957,3045]),flip(1)')] ).
cnf(3124,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)],[3095]),3123]),1]),
[iquote('back_demod(3095),demod([3123]),flip(1)')] ).
cnf(3125,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)],[2395]),3124]),1]),
[iquote('back_demod(2395),demod([3124]),flip(1)')] ).
cnf(3127,plain,
equal(double_divide(A,double_divide(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2731]),3005,3125]),
[iquote('back_demod(2731),demod([3005,3125])')] ).
cnf(3134,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)],[3108]),3127]),
[iquote('back_demod(3108),demod([3127])')] ).
cnf(3139,plain,
equal(multiply(A,B),double_divide(double_divide(C,double_divide(inverse(A),inverse(B))),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3097]),3127]),
[iquote('back_demod(3097),demod([3127])')] ).
cnf(3140,plain,
equal(double_divide(double_divide(A,double_divide(inverse(B),inverse(C))),A),multiply(B,C)),
inference(flip,[status(thm),theory(equality)],[3139]),
[iquote('flip(3139)')] ).
cnf(3157,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)],[3025]),3127]),
[iquote('back_demod(3025),demod([3127])')] ).
cnf(3161,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)],[2515]),3157]),1]),
[iquote('back_demod(2515),demod([3157]),flip(1)')] ).
cnf(3162,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)],[3079]),3161]),1]),
[iquote('back_demod(3079),demod([3161]),flip(1)')] ).
cnf(3172,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2498]),3127,3161]),
[iquote('back_demod(2498),demod([3127,3161])')] ).
cnf(3173,plain,
equal(double_divide(double_divide(A,B),A),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3162]),3172]),
[iquote('back_demod(3162),demod([3172])')] ).
cnf(3180,plain,
equal(double_divide(inverse(A),inverse(B)),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3140]),3173]),
[iquote('back_demod(3140),demod([3173])')] ).
cnf(3181,plain,
equal(multiply(A,B),double_divide(inverse(A),inverse(B))),
inference(flip,[status(thm),theory(equality)],[3180]),
[iquote('flip(3180)')] ).
cnf(3182,plain,
equal(multiply(inverse(A),inverse(B)),double_divide(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3134]),3173]),
[iquote('back_demod(3134),demod([3173])')] ).
cnf(4603,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)],[1395]),3127,3127,3173,3182]),
[iquote('back_demod(1395),demod([3127,3127,3173,3182])')] ).
cnf(4728,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)],[2943]),4603,3127]),1]),
[iquote('back_demod(2943),demod([4603,3127]),flip(1)')] ).
cnf(4793,plain,
~ equal(multiply(inverse(a1),a1),double_divide(inverse(A),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1369]),3127,3127,4603,4728,3005]),
[iquote('back_demod(1369),demod([3127,3127,4603,4728,3005])')] ).
cnf(4794,plain,
$false,
inference(conflict,[status(thm)],[4793,3181]),
[iquote('conflict(4793,3181)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 05:45:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.34/1.70 ----- EQP 0.9e, May 2009 -----
% 1.34/1.70 The job began on n018.cluster.edu, Mon Jun 13 05:45:28 2022
% 1.34/1.70 The command was "./eqp09e".
% 1.34/1.70
% 1.34/1.70 set(prolog_style_variables).
% 1.34/1.70 set(lrpo).
% 1.34/1.70 set(basic_paramod).
% 1.34/1.70 set(functional_subsume).
% 1.34/1.70 set(ordered_paramod).
% 1.34/1.70 set(prime_paramod).
% 1.34/1.70 set(para_pairs).
% 1.34/1.70 assign(pick_given_ratio,4).
% 1.34/1.70 clear(print_kept).
% 1.34/1.70 clear(print_new_demod).
% 1.34/1.70 clear(print_back_demod).
% 1.34/1.70 clear(print_given).
% 1.34/1.70 assign(max_mem,64000).
% 1.34/1.70 end_of_commands.
% 1.34/1.70
% 1.34/1.70 Usable:
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 Sos:
% 1.34/1.70 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.
% 1.34/1.70 0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 1.34/1.70 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 Demodulators:
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 Passive:
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 Starting to process input.
% 1.34/1.70
% 1.34/1.70 ** 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.
% 1.34/1.70 1 is a new demodulator.
% 1.34/1.70
% 1.34/1.70 ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.34/1.70 2 is a new demodulator.
% 1.34/1.70 -> 2 back demodulating 1.
% 1.34/1.70
% 1.34/1.70 ** 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.
% 1.34/1.70 3 is a new demodulator.
% 1.34/1.70
% 1.34/1.70 ** KEPT: 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 1.34/1.70 ---------------- PROOF FOUND ----------------
% 1.34/1.70 % SZS status Unsatisfiable
% 1.34/1.70
% 1.34/1.70
% 1.34/1.70 After processing input:
% 1.34/1.70
% 1.34/1.70 Usable:
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 Sos:
% 1.34/1.70 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.34/1.70 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 1.34/1.70 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.
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 Demodulators:
% 1.34/1.70 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.34/1.70 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.
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 Passive:
% 1.34/1.70 end_of_list.
% 1.34/1.70
% 1.34/1.70 UNIT CONFLICT from 4793 and 3181 at 0.44 seconds.
% 1.34/1.70
% 1.34/1.70 ---------------- PROOF ----------------
% 1.34/1.70 % SZS output start Refutation
% See solution above
% 1.34/1.70 ------------ end of proof -------------
% 1.34/1.70
% 1.34/1.70
% 1.34/1.70 ------------- memory usage ------------
% 1.34/1.70 Memory dynamically allocated (tp_alloc): 9765.
% 1.34/1.70 type (bytes each) gets frees in use avail bytes
% 1.34/1.70 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.34/1.70 term ( 16) 387595 248826 138769 40 2692.4 K
% 1.34/1.70 gen_ptr ( 8) 805561 141323 664238 150 5190.5 K
% 1.34/1.70 context ( 808) 240594 240592 2 3 3.9 K
% 1.34/1.70 trail ( 12) 72363 72363 0 16 0.2 K
% 1.34/1.70 bt_node ( 68) 47317 47313 4 31 2.3 K
% 1.34/1.70 ac_position (285432) 0 0 0 0 0.0 K
% 1.34/1.70 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.34/1.70 ac_match_free_vars_pos (4020)
% 1.34/1.70 0 0 0 0 0.0 K
% 1.34/1.70 discrim ( 12) 83168 53164 30004 20668 593.8 K
% 1.34/1.70 flat ( 40) 1150028 1150028 0 67 2.6 K
% 1.34/1.70 discrim_pos ( 12) 11917 11917 0 1 0.0 K
% 1.34/1.70 fpa_head ( 12) 10133 0 10133 0 118.7 K
% 1.34/1.70 fpa_tree ( 28) 14521 14521 0 37 1.0 K
% 1.34/1.70 fpa_pos ( 36) 6133 6133 0 1 0.0 K
% 1.34/1.70 literal ( 12) 18760 13967 4793 1 56.2 K
% 1.34/1.70 clause ( 24) 18760 13967 4793 1 112.4 K
% 1.34/1.70 list ( 12) 1399 1330 69 5 0.9 K
% 1.34/1.70 list_pos ( 20) 25087 12906 12181 453 246.8 K
% 1.34/1.70 pair_index ( 40) 2 0 2 0 0.1 K
% 1.34/1.70
% 1.34/1.70 -------------- statistics -------------
% 1.34/1.70 Clauses input 3
% 1.34/1.70 Usable input 0
% 1.34/1.70 Sos input 3
% 1.34/1.70 Demodulators input 0
% 1.34/1.70 Passive input 0
% 1.34/1.70
% 1.34/1.70 Processed BS (before search) 4
% 1.34/1.70 Forward subsumed BS 0
% 1.34/1.70 Kept BS 4
% 1.34/1.70 New demodulators BS 3
% 1.34/1.70 Back demodulated BS 1
% 1.34/1.70
% 1.34/1.70 Clauses or pairs given 6393
% 1.34/1.70 Clauses generated 10267
% 1.34/1.70 Forward subsumed 5478
% 1.34/1.70 Deleted by weight 0
% 1.34/1.70 Deleted by variable count 0
% 1.34/1.70 Kept 4789
% 1.34/1.70 New demodulators 1337
% 1.34/1.70 Back demodulated 2914
% 1.34/1.70 Ordered paramod prunes 0
% 1.34/1.70 Basic paramod prunes 31395
% 1.34/1.70 Prime paramod prunes 5
% 1.34/1.70 Semantic prunes 0
% 1.34/1.70
% 1.34/1.70 Rewrite attmepts 158503
% 1.34/1.70 Rewrites 7962
% 1.34/1.70
% 1.34/1.70 FPA overloads 0
% 1.34/1.70 FPA underloads 0
% 1.34/1.70
% 1.34/1.70 Usable size 0
% 1.34/1.70 Sos size 1877
% 1.34/1.70 Demodulators size 458
% 1.34/1.70 Passive size 0
% 1.34/1.70 Disabled size 2915
% 1.34/1.70
% 1.34/1.70 Proofs found 1
% 1.34/1.70
% 1.34/1.70 ----------- times (seconds) ----------- Mon Jun 13 05:45:28 2022
% 1.34/1.70
% 1.34/1.70 user CPU time 0.44 (0 hr, 0 min, 0 sec)
% 1.34/1.70 system CPU time 0.16 (0 hr, 0 min, 0 sec)
% 1.34/1.70 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.34/1.70 input time 0.00
% 1.34/1.70 paramodulation time 0.03
% 1.34/1.70 demodulation time 0.04
% 1.34/1.70 orient time 0.02
% 1.34/1.70 weigh time 0.01
% 1.34/1.70 forward subsume time 0.02
% 1.34/1.70 back demod find time 0.03
% 1.34/1.70 conflict time 0.01
% 1.34/1.70 LRPO time 0.01
% 1.34/1.70 store clause time 0.14
% 1.34/1.70 disable clause time 0.07
% 1.34/1.70 prime paramod time 0.01
% 1.34/1.70 semantics time 0.00
% 1.34/1.70
% 1.34/1.70 EQP interrupted
%------------------------------------------------------------------------------