TSTP Solution File: GRP450-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP450-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n010.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 08:47:29 EDT 2022
% Result : Unsatisfiable 1.41s 1.79s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 4
% Syntax : Number of clauses : 121 ( 121 unt; 0 nHn; 6 RR)
% Number of literals : 121 ( 0 equ; 5 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 290 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))),B),
file('GRP450-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,divide(divide(C,C),B))),
file('GRP450-1.p',unknown),
[] ).
cnf(3,plain,
equal(divide(A,divide(divide(B,B),C)),multiply(A,C)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(inverse(A),divide(divide(B,B),A)),
file('GRP450-1.p',unknown),
[] ).
cnf(5,plain,
equal(divide(divide(A,A),B),inverse(B)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(6,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP450-1.p',unknown),
[] ).
cnf(8,plain,
equal(divide(inverse(divide(A,A)),B),inverse(B)),
inference(para,[status(thm),theory(equality)],[5,5]),
[iquote('para(5,5)')] ).
cnf(15,plain,
equal(divide(inverse(inverse(divide(A,A))),B),inverse(B)),
inference(para,[status(thm),theory(equality)],[8,5]),
[iquote('para(8,5)')] ).
cnf(16,plain,
equal(inverse(A),divide(inverse(inverse(divide(B,B))),A)),
inference(flip,[status(thm),theory(equality)],[15]),
[iquote('flip(15)')] ).
cnf(24,plain,
equal(divide(inverse(inverse(inverse(divide(A,A)))),B),inverse(B)),
inference(para,[status(thm),theory(equality)],[15,5]),
[iquote('para(15,5)')] ).
cnf(35,plain,
equal(divide(A,divide(divide(divide(divide(B,B),B),divide(divide(C,C),D)),multiply(divide(divide(B,B),A),D))),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(45,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(46,plain,
equal(multiply(A,B),divide(A,inverse(B))),
inference(flip,[status(thm),theory(equality)],[45]),
[iquote('flip(45)')] ).
cnf(47,plain,
equal(inverse(divide(divide(A,A),B)),multiply(divide(C,C),B)),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(48,plain,
equal(multiply(divide(A,A),B),inverse(divide(divide(C,C),B))),
inference(flip,[status(thm),theory(equality)],[47]),
[iquote('flip(47)')] ).
cnf(55,plain,
equal(divide(multiply(inverse(A),A),B),inverse(B)),
inference(para,[status(thm),theory(equality)],[45,5]),
[iquote('para(45,5)')] ).
cnf(56,plain,
equal(inverse(A),divide(multiply(inverse(B),B),A)),
inference(flip,[status(thm),theory(equality)],[55]),
[iquote('flip(55)')] ).
cnf(57,plain,
equal(multiply(divide(A,A),B),inverse(inverse(B))),
inference(para,[status(thm),theory(equality)],[45,5]),
[iquote('para(45,5)')] ).
cnf(58,plain,
equal(inverse(inverse(A)),multiply(divide(B,B),A)),
inference(flip,[status(thm),theory(equality)],[57]),
[iquote('flip(57)')] ).
cnf(62,plain,
equal(divide(A,divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C))),B),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(66,plain,
equal(divide(A,inverse(divide(divide(divide(B,B),A),divide(divide(B,B),B)))),B),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(68,plain,
equal(divide(inverse(multiply(inverse(A),A)),B),inverse(B)),
inference(para,[status(thm),theory(equality)],[55,5]),
[iquote('para(55,5)')] ).
cnf(69,plain,
equal(inverse(A),divide(inverse(multiply(inverse(B),B)),A)),
inference(flip,[status(thm),theory(equality)],[68]),
[iquote('flip(68)')] ).
cnf(92,plain,
equal(divide(multiply(inverse(A),A),B),divide(multiply(inverse(C),C),B)),
inference(para,[status(thm),theory(equality)],[56,56]),
[iquote('para(56,56)')] ).
cnf(106,plain,
equal(divide(A,divide(inverse(inverse(divide(B,B))),C)),multiply(A,C)),
inference(para,[status(thm),theory(equality)],[16,45]),
[iquote('para(16,45)')] ).
cnf(107,plain,
equal(multiply(A,B),divide(A,divide(inverse(inverse(divide(C,C))),B))),
inference(flip,[status(thm),theory(equality)],[106]),
[iquote('flip(106)')] ).
cnf(118,plain,
equal(inverse(inverse(A)),multiply(inverse(multiply(inverse(B),B)),A)),
inference(para,[status(thm),theory(equality)],[68,45]),
[iquote('para(68,45)')] ).
cnf(119,plain,
equal(multiply(inverse(multiply(inverse(A),A)),B),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[118]),
[iquote('flip(118)')] ).
cnf(178,plain,
equal(inverse(inverse(A)),multiply(inverse(inverse(inverse(divide(B,B)))),A)),
inference(para,[status(thm),theory(equality)],[24,45]),
[iquote('para(24,45)')] ).
cnf(179,plain,
equal(multiply(inverse(inverse(inverse(divide(A,A)))),B),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[178]),
[iquote('flip(178)')] ).
cnf(187,plain,
~ equal(divide(multiply(a3,b3),inverse(c3)),multiply(a3,multiply(b3,c3))),
inference(para,[status(thm),theory(equality)],[46,6]),
[iquote('para(46,6)')] ).
cnf(264,plain,
equal(inverse(divide(divide(A,A),B)),multiply(multiply(inverse(C),C),B)),
inference(para,[status(thm),theory(equality)],[55,3]),
[iquote('para(55,3)')] ).
cnf(265,plain,
equal(multiply(multiply(inverse(A),A),B),inverse(divide(divide(C,C),B))),
inference(flip,[status(thm),theory(equality)],[264]),
[iquote('flip(264)')] ).
cnf(405,plain,
~ equal(divide(multiply(a3,b3),divide(divide(A,A),c3)),multiply(a3,multiply(b3,c3))),
inference(para,[status(thm),theory(equality)],[4,187]),
[iquote('para(4,187)')] ).
cnf(406,plain,
~ equal(multiply(a3,multiply(b3,c3)),divide(multiply(a3,b3),divide(divide(A,A),c3))),
inference(flip,[status(thm),theory(equality)],[405]),
[iquote('flip(405)')] ).
cnf(762,plain,
equal(inverse(divide(divide(A,A),B)),divide(multiply(inverse(C),C),inverse(B))),
inference(para,[status(thm),theory(equality)],[265,46]),
[iquote('para(265,46)')] ).
cnf(763,plain,
equal(divide(multiply(inverse(A),A),inverse(B)),inverse(divide(divide(C,C),B))),
inference(flip,[status(thm),theory(equality)],[762]),
[iquote('flip(762)')] ).
cnf(1178,plain,
equal(multiply(A,multiply(divide(divide(B,B),A),B)),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,3]),1]),
[iquote('para(35,3),flip(1)')] ).
cnf(2056,plain,
equal(divide(multiply(inverse(A),A),divide(divide(B,B),C)),inverse(divide(divide(D,D),C))),
inference(para,[status(thm),theory(equality)],[4,763]),
[iquote('para(4,763)')] ).
cnf(2057,plain,
equal(inverse(divide(divide(A,A),B)),divide(multiply(inverse(C),C),divide(divide(D,D),B))),
inference(flip,[status(thm),theory(equality)],[2056]),
[iquote('flip(2056)')] ).
cnf(2511,plain,
equal(inverse(inverse(multiply(divide(divide(A,A),inverse(inverse(inverse(divide(B,B))))),A))),A),
inference(para,[status(thm),theory(equality)],[179,1178]),
[iquote('para(179,1178)')] ).
cnf(2794,plain,
equal(multiply(multiply(inverse(A),A),B),divide(inverse(multiply(inverse(C),C)),divide(divide(D,D),B))),
inference(para,[status(thm),theory(equality)],[264,69]),
[iquote('para(264,69)')] ).
cnf(2795,plain,
equal(divide(inverse(multiply(inverse(A),A)),divide(divide(B,B),C)),multiply(multiply(inverse(D),D),C)),
inference(flip,[status(thm),theory(equality)],[2794]),
[iquote('flip(2794)')] ).
cnf(2815,plain,
equal(divide(divide(A,A),multiply(divide(inverse(A),B),B)),A),
inference(para,[status(thm),theory(equality)],[3,62]),
[iquote('para(3,62)')] ).
cnf(2817,plain,
equal(inverse(multiply(divide(inverse(A),B),B)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2815,5]),1]),
[iquote('para(2815,5),flip(1)')] ).
cnf(2821,plain,
equal(divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))),B),
inference(para,[status(thm),theory(equality)],[5,62]),
[iquote('para(5,62)')] ).
cnf(2822,plain,
equal(divide(divide(A,A),divide(divide(inverse(A),B),inverse(B))),A),
inference(para,[status(thm),theory(equality)],[5,62]),
[iquote('para(5,62)')] ).
cnf(2823,plain,
equal(multiply(A,multiply(divide(inverse(B),C),C)),divide(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2817,45]),1]),
[iquote('para(2817,45),flip(1)')] ).
cnf(2898,plain,
equal(inverse(inverse(divide(divide(divide(A,A),inverse(inverse(inverse(divide(B,B))))),divide(divide(A,A),A)))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,24]),1]),
[iquote('para(66,24),flip(1)')] ).
cnf(2901,plain,
equal(divide(A,inverse(divide(inverse(A),inverse(B)))),B),
inference(para,[status(thm),theory(equality)],[5,2821]),
[iquote('para(5,2821)')] ).
cnf(2905,plain,
equal(multiply(A,divide(inverse(A),inverse(B))),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2901,45]),1]),
[iquote('para(2901,45),flip(1)')] ).
cnf(2956,plain,
equal(divide(divide(A,A),inverse(inverse(inverse(A)))),A),
inference(para,[status(thm),theory(equality)],[5,2822]),
[iquote('para(5,2822)')] ).
cnf(2960,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2956,5]),1]),
[iquote('para(2956,5),flip(1)')] ).
cnf(2962,plain,
equal(divide(divide(A,A),inverse(inverse(inverse(B)))),B),
inference(para,[status(thm),theory(equality)],[4,2960]),
[iquote('para(4,2960)')] ).
cnf(2963,plain,
equal(inverse(inverse(divide(divide(A,A),divide(divide(B,B),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2898]),2962]),
[iquote('back_demod(2898),demod([2962])')] ).
cnf(2964,plain,
equal(inverse(inverse(multiply(divide(A,A),B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2511]),2962]),
[iquote('back_demod(2511),demod([2962])')] ).
cnf(3808,plain,
equal(divide(A,divide(inverse(B),divide(inverse(A),B))),divide(C,C)),
inference(para,[status(thm),theory(equality)],[8,2821]),
[iquote('para(8,2821)')] ).
cnf(3970,plain,
equal(divide(inverse(multiply(divide(A,A),B)),divide(divide(inverse(C),D),divide(B,D))),C),
inference(para,[status(thm),theory(equality)],[2964,2821]),
[iquote('para(2964,2821)')] ).
cnf(4009,plain,
equal(multiply(divide(A,A),divide(divide(B,B),divide(divide(C,C),C))),C),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2963,58]),1]),
[iquote('para(2963,58),flip(1)')] ).
cnf(4251,plain,
equal(divide(divide(A,A),divide(inverse(B),inverse(B))),divide(C,C)),
inference(para,[status(thm),theory(equality)],[8,3808]),
[iquote('para(8,3808)')] ).
cnf(4253,plain,
equal(divide(A,inverse(divide(inverse(A),divide(B,B)))),divide(C,C)),
inference(para,[status(thm),theory(equality)],[8,3808]),
[iquote('para(8,3808)')] ).
cnf(4254,plain,
equal(divide(A,A),divide(B,inverse(divide(inverse(B),divide(C,C))))),
inference(flip,[status(thm),theory(equality)],[4253]),
[iquote('flip(4253)')] ).
cnf(4255,plain,
equal(divide(divide(A,A),divide(B,B)),divide(C,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2960,4251]),2960]),
[iquote('para(2960,4251),demod([2960])')] ).
cnf(4257,plain,
equal(divide(A,A),inverse(divide(B,B))),
inference(para,[status(thm),theory(equality)],[4255,5]),
[iquote('para(4255,5)')] ).
cnf(4258,plain,
equal(inverse(divide(A,A)),divide(B,B)),
inference(flip,[status(thm),theory(equality)],[4257]),
[iquote('flip(4257)')] ).
cnf(4263,plain,
equal(inverse(divide(A,A)),inverse(divide(B,B))),
inference(para,[status(thm),theory(equality)],[4257,5]),
[iquote('para(4257,5)')] ).
cnf(4270,plain,
equal(divide(A,divide(B,B)),multiply(A,divide(C,C))),
inference(para,[status(thm),theory(equality)],[4258,45]),
[iquote('para(4258,45)')] ).
cnf(4271,plain,
equal(multiply(A,divide(B,B)),divide(A,divide(C,C))),
inference(flip,[status(thm),theory(equality)],[4270]),
[iquote('flip(4270)')] ).
cnf(4272,plain,
equal(divide(A,A),divide(B,B)),
inference(para,[status(thm),theory(equality)],[4258,4258]),
[iquote('para(4258,4258)')] ).
cnf(4290,plain,
equal(divide(A,inverse(divide(B,B))),multiply(A,divide(C,C))),
inference(para,[status(thm),theory(equality)],[4263,45]),
[iquote('para(4263,45)')] ).
cnf(4291,plain,
equal(multiply(A,divide(B,B)),divide(A,inverse(divide(C,C)))),
inference(flip,[status(thm),theory(equality)],[4290]),
[iquote('flip(4290)')] ).
cnf(4379,plain,
equal(divide(A,divide(B,B)),A),
inference(para,[status(thm),theory(equality)],[4258,2901]),
[iquote('para(4258,2901)')] ).
cnf(4382,plain,
equal(multiply(A,divide(B,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4271]),4379]),
[iquote('back_demod(4271),demod([4379])')] ).
cnf(4384,plain,
equal(divide(A,inverse(divide(B,B))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4291]),4382]),1]),
[iquote('back_demod(4291),demod([4382]),flip(1)')] ).
cnf(4389,plain,
equal(divide(A,A),divide(B,inverse(inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4254]),4379]),
[iquote('back_demod(4254),demod([4379])')] ).
cnf(4390,plain,
equal(divide(A,inverse(inverse(A))),divide(B,B)),
inference(flip,[status(thm),theory(equality)],[4389]),
[iquote('flip(4389)')] ).
cnf(4520,plain,
equal(divide(A,A),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[4390,45]),
[iquote('para(4390,45)')] ).
cnf(4522,plain,
equal(divide(multiply(A,inverse(A)),B),inverse(B)),
inference(para,[status(thm),theory(equality)],[4520,5]),
[iquote('para(4520,5)')] ).
cnf(4523,plain,
equal(inverse(A),divide(multiply(B,inverse(B)),A)),
inference(flip,[status(thm),theory(equality)],[4522]),
[iquote('flip(4522)')] ).
cnf(4560,plain,
equal(divide(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4523,4384]),4379]),
[iquote('para(4523,4384),demod([4379])')] ).
cnf(4566,plain,
equal(divide(A,divide(B,inverse(inverse(B)))),A),
inference(para,[status(thm),theory(equality)],[46,4560]),
[iquote('para(46,4560)')] ).
cnf(4593,plain,
equal(divide(A,A),inverse(divide(B,inverse(inverse(B))))),
inference(para,[status(thm),theory(equality)],[4566,5]),
[iquote('para(4566,5)')] ).
cnf(4594,plain,
equal(inverse(divide(A,inverse(inverse(A)))),divide(B,B)),
inference(flip,[status(thm),theory(equality)],[4593]),
[iquote('flip(4593)')] ).
cnf(4659,plain,
equal(multiply(multiply(inverse(A),A),B),divide(multiply(inverse(C),C),divide(inverse(inverse(divide(D,D))),B))),
inference(para,[status(thm),theory(equality)],[106,92]),
[iquote('para(106,92)')] ).
cnf(4660,plain,
equal(divide(multiply(inverse(A),A),divide(inverse(inverse(divide(B,B))),C)),multiply(multiply(inverse(D),D),C)),
inference(flip,[status(thm),theory(equality)],[4659]),
[iquote('flip(4659)')] ).
cnf(4698,plain,
equal(divide(divide(A,A),divide(inverse(inverse(divide(B,B))),C)),inverse(divide(divide(D,D),C))),
inference(para,[status(thm),theory(equality)],[107,48]),
[iquote('para(107,48)')] ).
cnf(4699,plain,
equal(inverse(divide(divide(A,A),B)),divide(divide(C,C),divide(inverse(inverse(divide(D,D))),B))),
inference(flip,[status(thm),theory(equality)],[4698]),
[iquote('flip(4698)')] ).
cnf(4995,plain,
equal(inverse(inverse(A)),divide(inverse(multiply(inverse(B),B)),divide(inverse(inverse(divide(C,C))),A))),
inference(para,[status(thm),theory(equality)],[119,107]),
[iquote('para(119,107)')] ).
cnf(4996,plain,
equal(divide(inverse(multiply(inverse(A),A)),divide(inverse(inverse(divide(B,B))),C)),inverse(inverse(C))),
inference(flip,[status(thm),theory(equality)],[4995]),
[iquote('flip(4995)')] ).
cnf(5005,plain,
equal(multiply(A,divide(B,inverse(inverse(B)))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4594,45]),4379]),1]),
[iquote('para(4594,45),demod([4379]),flip(1)')] ).
cnf(5011,plain,
equal(inverse(inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5005,2905]),1]),
[iquote('para(5005,2905),flip(1)')] ).
cnf(5014,plain,
equal(divide(inverse(multiply(inverse(A),A)),divide(divide(B,B),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4996]),5011,5011]),
[iquote('back_demod(4996),demod([5011,5011])')] ).
cnf(5015,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2795]),5014]),1]),
[iquote('back_demod(2795),demod([5014]),flip(1)')] ).
cnf(5024,plain,
equal(divide(multiply(inverse(A),A),divide(divide(B,B),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4660]),5011,5015]),
[iquote('back_demod(4660),demod([5011,5015])')] ).
cnf(5025,plain,
equal(inverse(divide(divide(A,A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2057]),5024]),
[iquote('back_demod(2057),demod([5024])')] ).
cnf(5032,plain,
equal(divide(divide(A,A),divide(divide(B,B),C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4699]),5025,5011]),1]),
[iquote('back_demod(4699),demod([5025,5011]),flip(1)')] ).
cnf(5066,plain,
equal(multiply(divide(A,A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4009]),5032]),
[iquote('back_demod(4009),demod([5032])')] ).
cnf(5167,plain,
equal(divide(inverse(A),divide(divide(inverse(B),C),divide(A,C))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3970]),5066]),
[iquote('back_demod(3970),demod([5066])')] ).
cnf(5316,plain,
equal(multiply(divide(inverse(A),B),B),divide(divide(C,C),A)),
inference(para,[status(thm),theory(equality)],[5066,2823]),
[iquote('para(5066,2823)')] ).
cnf(5317,plain,
equal(divide(divide(A,A),B),multiply(divide(inverse(B),C),C)),
inference(flip,[status(thm),theory(equality)],[5316]),
[iquote('flip(5316)')] ).
cnf(5489,plain,
equal(multiply(divide(inverse(A),B),B),inverse(A)),
inference(para,[status(thm),theory(equality)],[5317,5]),
[iquote('para(5317,5)')] ).
cnf(5518,plain,
equal(divide(A,divide(inverse(B),inverse(A))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4272,2821]),4379]),
[iquote('para(4272,2821),demod([4379])')] ).
cnf(5519,plain,
equal(divide(A,divide(B,inverse(A))),inverse(B)),
inference(para,[status(thm),theory(equality)],[5011,5518]),
[iquote('para(5011,5518)')] ).
cnf(5521,plain,
equal(divide(inverse(A),divide(inverse(B),A)),B),
inference(para,[status(thm),theory(equality)],[5011,5518]),
[iquote('para(5011,5518)')] ).
cnf(5522,plain,
equal(divide(inverse(A),divide(B,A)),inverse(B)),
inference(para,[status(thm),theory(equality)],[5011,5519]),
[iquote('para(5011,5519)')] ).
cnf(5538,plain,
equal(divide(A,multiply(B,A)),inverse(B)),
inference(para,[status(thm),theory(equality)],[45,5519]),
[iquote('para(45,5519)')] ).
cnf(5555,plain,
equal(inverse(divide(inverse(A),B)),divide(B,inverse(A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5489,5538]),1]),
[iquote('para(5489,5538),flip(1)')] ).
cnf(5593,plain,
equal(divide(divide(A,inverse(B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5521,5521]),5555]),
[iquote('para(5521,5521),demod([5555])')] ).
cnf(5594,plain,
equal(divide(divide(A,B),inverse(B)),A),
inference(para,[status(thm),theory(equality)],[5011,5593]),
[iquote('para(5011,5593)')] ).
cnf(5596,plain,
equal(divide(multiply(A,B),B),A),
inference(para,[status(thm),theory(equality)],[45,5593]),
[iquote('para(45,5593)')] ).
cnf(5608,plain,
equal(multiply(divide(A,B),B),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5594,45]),1]),
[iquote('para(5594,45),flip(1)')] ).
cnf(5609,plain,
equal(inverse(divide(A,B)),divide(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5608,5538]),1]),
[iquote('para(5608,5538),flip(1)')] ).
cnf(5619,plain,
equal(multiply(A,divide(B,C)),divide(A,divide(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5609,45]),1]),
[iquote('para(5609,45),flip(1)')] ).
cnf(5623,plain,
equal(inverse(multiply(A,B)),divide(inverse(B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5596,5522]),1]),
[iquote('para(5596,5522),flip(1)')] ).
cnf(5626,plain,
~ equal(divide(a3,divide(divide(divide(A,A),c3),b3)),divide(multiply(a3,b3),divide(divide(B,B),c3))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,406]),5619]),
[iquote('para(2,406),demod([5619])')] ).
cnf(5969,plain,
equal(divide(divide(inverse(A),B),divide(divide(inverse(C),A),B)),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5596,5167]),5623]),
[iquote('para(5596,5167),demod([5623])')] ).
cnf(5971,plain,
equal(divide(divide(inverse(A),B),divide(divide(C,A),B)),inverse(C)),
inference(para,[status(thm),theory(equality)],[5011,5969]),
[iquote('para(5011,5969)')] ).
cnf(6037,plain,
equal(divide(divide(inverse(A),B),divide(C,B)),divide(inverse(A),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5596,5971]),5623]),
[iquote('para(5596,5971),demod([5623])')] ).
cnf(6040,plain,
equal(divide(divide(A,B),divide(C,B)),divide(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5011,6037]),5011]),
[iquote('para(5011,6037),demod([5011])')] ).
cnf(6064,plain,
equal(divide(A,divide(B,C)),divide(multiply(A,C),B)),
inference(para,[status(thm),theory(equality)],[5596,6040]),
[iquote('para(5596,6040)')] ).
cnf(6065,plain,
$false,
inference(conflict,[status(thm)],[6064,5626]),
[iquote('conflict(6064,5626)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP450-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 02:22:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.41/1.79 ----- EQP 0.9e, May 2009 -----
% 1.41/1.79 The job began on n010.cluster.edu, Tue Jun 14 02:22:25 2022
% 1.41/1.79 The command was "./eqp09e".
% 1.41/1.79
% 1.41/1.79 set(prolog_style_variables).
% 1.41/1.79 set(lrpo).
% 1.41/1.79 set(basic_paramod).
% 1.41/1.79 set(functional_subsume).
% 1.41/1.79 set(ordered_paramod).
% 1.41/1.79 set(prime_paramod).
% 1.41/1.79 set(para_pairs).
% 1.41/1.79 assign(pick_given_ratio,4).
% 1.41/1.79 clear(print_kept).
% 1.41/1.79 clear(print_new_demod).
% 1.41/1.79 clear(print_back_demod).
% 1.41/1.79 clear(print_given).
% 1.41/1.79 assign(max_mem,64000).
% 1.41/1.79 end_of_commands.
% 1.41/1.79
% 1.41/1.79 Usable:
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 Sos:
% 1.41/1.79 0 (wt=-1) [] divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B.
% 1.41/1.79 0 (wt=-1) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 1.41/1.79 0 (wt=-1) [] inverse(A) = divide(divide(B,B),A).
% 1.41/1.79 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 Demodulators:
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 Passive:
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 Starting to process input.
% 1.41/1.79
% 1.41/1.79 ** KEPT: 1 (wt=19) [] divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B.
% 1.41/1.79 1 is a new demodulator.
% 1.41/1.79
% 1.41/1.79 ** KEPT: 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 1.41/1.79
% 1.41/1.79 ** KEPT: 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 1.41/1.79 clause forward subsumed: 0 (wt=11) [flip(3)] multiply(A,C) = divide(A,divide(divide(B,B),C)).
% 1.41/1.79
% 1.41/1.79 ** KEPT: 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 1.41/1.79
% 1.41/1.79 ** KEPT: 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 1.41/1.79 clause forward subsumed: 0 (wt=8) [flip(5)] inverse(B) = divide(divide(A,A),B).
% 1.41/1.79
% 1.41/1.79 ** KEPT: 6 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.41/1.79 ---------------- PROOF FOUND ----------------
% 1.41/1.79 % SZS status Unsatisfiable
% 1.41/1.79
% 1.41/1.79
% 1.41/1.79 After processing input:
% 1.41/1.79
% 1.41/1.79 Usable:
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 Sos:
% 1.41/1.79 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 1.41/1.79 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 1.41/1.79 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 1.41/1.79 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 1.41/1.79 6 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.41/1.79 1 (wt=19) [] divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B.
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 Demodulators:
% 1.41/1.79 1 (wt=19) [] divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B.
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 Passive:
% 1.41/1.79 end_of_list.
% 1.41/1.79
% 1.41/1.79 UNIT CONFLICT from 6064 and 5626 at 0.46 seconds.
% 1.41/1.79
% 1.41/1.79 ---------------- PROOF ----------------
% 1.41/1.79 % SZS output start Refutation
% See solution above
% 1.41/1.79 ------------ end of proof -------------
% 1.41/1.79
% 1.41/1.79
% 1.41/1.79 ------------- memory usage ------------
% 1.41/1.79 Memory dynamically allocated (tp_alloc): 6835.
% 1.41/1.79 type (bytes each) gets frees in use avail bytes
% 1.41/1.79 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.41/1.79 term ( 16) 462166 357693 104473 29 2017.4 K
% 1.41/1.79 gen_ptr ( 8) 617927 188278 429649 120 3357.6 K
% 1.41/1.79 context ( 808) 337682 337680 2 3 3.9 K
% 1.41/1.79 trail ( 12) 37764 37764 0 7 0.1 K
% 1.41/1.79 bt_node ( 68) 93171 93168 3 18 1.4 K
% 1.41/1.79 ac_position (285432) 0 0 0 0 0.0 K
% 1.41/1.79 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.41/1.79 ac_match_free_vars_pos (4020)
% 1.41/1.79 0 0 0 0 0.0 K
% 1.41/1.79 discrim ( 12) 55929 50773 5156 33781 456.3 K
% 1.41/1.79 flat ( 40) 1081709 1081709 0 47 1.8 K
% 1.41/1.79 discrim_pos ( 12) 23756 23756 0 1 0.0 K
% 1.41/1.79 fpa_head ( 12) 10740 0 10740 0 125.9 K
% 1.41/1.79 fpa_tree ( 28) 12591 12591 0 37 1.0 K
% 1.41/1.79 fpa_pos ( 36) 7676 7676 0 1 0.0 K
% 1.41/1.79 literal ( 12) 35240 29176 6064 1 71.1 K
% 1.41/1.79 clause ( 24) 35240 29176 6064 1 142.1 K
% 1.41/1.79 list ( 12) 1671 1615 56 22 0.9 K
% 1.41/1.79 list_pos ( 20) 33074 25748 7326 7313 285.9 K
% 1.41/1.79 pair_index ( 40) 2 0 2 0 0.1 K
% 1.41/1.79
% 1.41/1.79 -------------- statistics -------------
% 1.41/1.79 Clauses input 4
% 1.41/1.79 Usable input 0
% 1.41/1.79 Sos input 4
% 1.41/1.79 Demodulators input 0
% 1.41/1.79 Passive input 0
% 1.41/1.79
% 1.41/1.79 Processed BS (before search) 8
% 1.41/1.79 Forward subsumed BS 2
% 1.41/1.79 Kept BS 6
% 1.41/1.79 New demodulators BS 1
% 1.41/1.79 Back demodulated BS 0
% 1.41/1.79
% 1.41/1.79 Clauses or pairs given 23167
% 1.41/1.79 Clauses generated 19304
% 1.41/1.79 Forward subsumed 13246
% 1.41/1.79 Deleted by weight 0
% 1.41/1.79 Deleted by variable count 0
% 1.41/1.79 Kept 6058
% 1.41/1.79 New demodulators 1611
% 1.41/1.79 Back demodulated 5547
% 1.41/1.79 Ordered paramod prunes 0
% 1.41/1.79 Basic paramod prunes 73152
% 1.41/1.79 Prime paramod prunes 1009
% 1.41/1.79 Semantic prunes 0
% 1.41/1.79
% 1.41/1.79 Rewrite attmepts 173685
% 1.41/1.79 Rewrites 13863
% 1.41/1.79
% 1.41/1.79 FPA overloads 0
% 1.41/1.79 FPA underloads 0
% 1.41/1.79
% 1.41/1.79 Usable size 0
% 1.41/1.79 Sos size 516
% 1.41/1.79 Demodulators size 231
% 1.41/1.79 Passive size 0
% 1.41/1.79 Disabled size 5547
% 1.41/1.79
% 1.41/1.79 Proofs found 1
% 1.41/1.79
% 1.41/1.79 ----------- times (seconds) ----------- Tue Jun 14 02:22:26 2022
% 1.41/1.79
% 1.41/1.79 user CPU time 0.46 (0 hr, 0 min, 0 sec)
% 1.41/1.79 system CPU time 0.29 (0 hr, 0 min, 0 sec)
% 1.41/1.79 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.41/1.79 input time 0.00
% 1.41/1.79 paramodulation time 0.05
% 1.41/1.79 demodulation time 0.04
% 1.41/1.79 orient time 0.03
% 1.41/1.79 weigh time 0.01
% 1.41/1.79 forward subsume time 0.02
% 1.41/1.79 back demod find time 0.02
% 1.41/1.79 conflict time 0.01
% 1.41/1.79 LRPO time 0.02
% 1.41/1.79 store clause time 0.12
% 1.41/1.79 disable clause time 0.07
% 1.41/1.79 prime paramod time 0.02
% 1.41/1.79 semantics time 0.00
% 1.41/1.79
% 1.41/1.79 EQP interrupted
%------------------------------------------------------------------------------