TSTP Solution File: GRP472-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP472-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 08:47:34 EDT 2022
% Result : Unsatisfiable 3.80s 4.19s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of clauses : 96 ( 96 unt; 0 nHn; 5 RR)
% Number of literals : 96 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 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 : 487 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)),B),
file('GRP472-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,inverse(B))),
file('GRP472-1.p',unknown),
[] ).
cnf(3,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(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(divide(inverse(b1),inverse(b1)),multiply(inverse(a1),a1)),
inference(para,[status(thm),theory(equality)],[2,4]),
[iquote('para(2,4)')] ).
cnf(6,plain,
equal(divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(E,F),D)))),divide(C,B)),divide(F,E)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(divide(divide(inverse(divide(A,B)),divide(C,A)),divide(divide(D,E),divide(inverse(divide(F,C)),divide(divide(E,D),F)))),B),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(divide(divide(inverse(divide(divide(A,B),C)),D),divide(divide(divide(B,A),E),inverse(divide(E,D)))),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(11,plain,
equal(divide(divide(inverse(divide(A,B)),divide(multiply(C,D),A)),divide(inverse(D),C)),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(12,plain,
equal(divide(divide(inverse(divide(inverse(A),B)),multiply(divide(C,D),A)),divide(D,C)),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(17,plain,
equal(divide(divide(inverse(divide(inverse(A),B)),multiply(multiply(C,D),A)),divide(inverse(D),C)),B),
inference(para,[status(thm),theory(equality)],[3,11]),
[iquote('para(3,11)')] ).
cnf(18,plain,
equal(divide(divide(inverse(divide(A,B)),divide(multiply(inverse(C),D),A)),multiply(inverse(D),C)),B),
inference(para,[status(thm),theory(equality)],[3,11]),
[iquote('para(3,11)')] ).
cnf(36,plain,
equal(divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(E,D)))),divide(C,B)),divide(divide(F,G),divide(inverse(divide(H,E)),divide(divide(G,F),H)))),
inference(para,[status(thm),theory(equality)],[7,1]),
[iquote('para(7,1)')] ).
cnf(39,plain,
equal(divide(divide(inverse(divide(divide(divide(A,B),divide(inverse(divide(C,D)),divide(divide(B,A),C))),E)),F),divide(divide(D,G),inverse(divide(G,F)))),E),
inference(para,[status(thm),theory(equality)],[7,1]),
[iquote('para(7,1)')] ).
cnf(52,plain,
equal(divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(divide(D,E),A)),F))),divide(C,B)),divide(divide(divide(E,D),G),inverse(divide(G,F)))),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(55,plain,
equal(divide(divide(inverse(divide(divide(divide(divide(A,B),C),inverse(divide(C,D))),E)),F),divide(D,inverse(divide(divide(B,A),F)))),E),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(59,plain,
equal(divide(divide(inverse(divide(divide(A,B),C)),D),multiply(divide(divide(B,A),E),divide(E,D))),C),
inference(para,[status(thm),theory(equality)],[3,8]),
[iquote('para(3,8)')] ).
cnf(60,plain,
equal(divide(divide(inverse(multiply(divide(A,B),C)),D),multiply(divide(divide(B,A),E),divide(E,D))),inverse(C)),
inference(para,[status(thm),theory(equality)],[3,59]),
[iquote('para(3,59)')] ).
cnf(148,plain,
equal(divide(divide(inverse(divide(divide(A,B),C)),D),divide(multiply(divide(B,A),E),inverse(divide(inverse(E),D)))),C),
inference(para,[status(thm),theory(equality)],[12,1]),
[iquote('para(12,1)')] ).
cnf(150,plain,
equal(divide(divide(inverse(multiply(divide(A,B),C)),D),divide(multiply(divide(B,A),E),inverse(divide(inverse(E),D)))),inverse(C)),
inference(para,[status(thm),theory(equality)],[3,148]),
[iquote('para(3,148)')] ).
cnf(152,plain,
equal(divide(divide(inverse(divide(divide(A,B),C)),D),multiply(multiply(divide(B,A),E),divide(inverse(E),D))),C),
inference(para,[status(thm),theory(equality)],[3,148]),
[iquote('para(3,148)')] ).
cnf(1081,plain,
equal(divide(divide(A,B),divide(inverse(divide(C,divide(D,E))),divide(divide(B,A),C))),divide(E,D)),
inference(para,[status(thm),theory(equality)],[36,6]),
[iquote('para(36,6)')] ).
cnf(1089,plain,
equal(divide(divide(inverse(divide(divide(inverse(divide(A,divide(B,C))),divide(divide(D,E),A)),F)),divide(C,B)),divide(D,E)),F),
inference(para,[status(thm),theory(equality)],[1081,1]),
[iquote('para(1081,1)')] ).
cnf(2578,plain,
equal(divide(divide(divide(A,B),C),inverse(divide(C,D))),divide(divide(divide(A,B),E),inverse(divide(E,D)))),
inference(para,[status(thm),theory(equality)],[52,52]),
[iquote('para(52,52)')] ).
cnf(2579,plain,
equal(divide(divide(divide(A,B),C),inverse(divide(C,D))),multiply(divide(divide(A,B),E),divide(E,D))),
inference(para,[status(thm),theory(equality)],[2578,3]),
[iquote('para(2578,3)')] ).
cnf(3511,plain,
equal(divide(divide(inverse(A),B),multiply(divide(divide(C,inverse(divide(divide(divide(D,E),divide(inverse(divide(F,G)),divide(divide(E,D),F))),A))),H),divide(H,B))),divide(divide(G,I),inverse(divide(I,C)))),
inference(para,[status(thm),theory(equality)],[39,59]),
[iquote('para(39,59)')] ).
cnf(3512,plain,
equal(divide(divide(A,B),inverse(divide(B,C))),divide(divide(inverse(D),E),multiply(divide(divide(C,inverse(divide(divide(divide(F,G),divide(inverse(divide(H,A)),divide(divide(G,F),H))),D))),I),divide(I,E)))),
inference(flip,[status(thm),theory(equality)],[3511]),
[iquote('flip(3511)')] ).
cnf(3564,plain,
equal(divide(divide(inverse(A),B),multiply(divide(divide(C,inverse(divide(divide(divide(divide(D,E),F),inverse(divide(F,G))),A))),H),divide(H,B))),divide(G,inverse(divide(divide(E,D),C)))),
inference(para,[status(thm),theory(equality)],[55,59]),
[iquote('para(55,59)')] ).
cnf(3565,plain,
equal(divide(A,inverse(divide(divide(B,C),D))),divide(divide(inverse(E),F),multiply(divide(divide(D,inverse(divide(divide(divide(divide(C,B),G),inverse(divide(G,A))),E))),H),divide(H,F)))),
inference(flip,[status(thm),theory(equality)],[3564]),
[iquote('flip(3564)')] ).
cnf(3670,plain,
equal(divide(divide(inverse(inverse(A)),B),multiply(divide(divide(C,inverse(multiply(divide(D,E),A))),F),divide(F,B))),multiply(divide(divide(E,D),G),divide(G,C))),
inference(para,[status(thm),theory(equality)],[60,59]),
[iquote('para(60,59)')] ).
cnf(3671,plain,
equal(multiply(divide(divide(A,B),C),divide(C,D)),divide(divide(inverse(inverse(E)),F),multiply(divide(divide(D,inverse(multiply(divide(B,A),E))),G),divide(G,F)))),
inference(flip,[status(thm),theory(equality)],[3670]),
[iquote('flip(3670)')] ).
cnf(7347,plain,
equal(divide(divide(inverse(A),B),multiply(divide(divide(C,inverse(divide(divide(D,E),A))),F),divide(F,B))),multiply(multiply(divide(E,D),G),divide(inverse(G),C))),
inference(para,[status(thm),theory(equality)],[152,59]),
[iquote('para(152,59)')] ).
cnf(7348,plain,
equal(multiply(multiply(divide(A,B),C),divide(inverse(C),D)),divide(divide(inverse(E),F),multiply(divide(divide(D,inverse(divide(divide(B,A),E))),G),divide(G,F)))),
inference(flip,[status(thm),theory(equality)],[7347]),
[iquote('flip(7347)')] ).
cnf(7353,plain,
equal(divide(divide(inverse(A),B),multiply(divide(divide(C,inverse(divide(divide(D,E),A))),F),divide(F,B))),divide(multiply(divide(E,D),G),inverse(divide(inverse(G),C)))),
inference(para,[status(thm),theory(equality)],[7348,2]),
[iquote('para(7348,2)')] ).
cnf(7354,plain,
equal(divide(multiply(divide(A,B),C),inverse(divide(inverse(C),D))),divide(divide(inverse(E),F),multiply(divide(divide(D,inverse(divide(divide(B,A),E))),G),divide(G,F)))),
inference(flip,[status(thm),theory(equality)],[7353]),
[iquote('flip(7353)')] ).
cnf(7492,plain,
equal(divide(divide(inverse(multiply(divide(divide(A,B),C),divide(C,D))),E),multiply(multiply(divide(F,divide(A,B)),G),divide(inverse(G),E))),inverse(divide(F,D))),
inference(para,[status(thm),theory(equality)],[2579,152]),
[iquote('para(2579,152)')] ).
cnf(7496,plain,
equal(divide(divide(inverse(multiply(divide(divide(A,B),C),divide(C,D))),E),divide(multiply(divide(F,divide(A,B)),G),inverse(divide(inverse(G),E)))),inverse(divide(F,D))),
inference(para,[status(thm),theory(equality)],[2,7492]),
[iquote('para(2,7492)')] ).
cnf(7508,plain,
equal(divide(multiply(inverse(multiply(divide(divide(A,B),C),divide(C,D))),E),divide(multiply(divide(F,divide(A,B)),G),inverse(divide(inverse(G),inverse(E))))),inverse(divide(F,D))),
inference(para,[status(thm),theory(equality)],[3,7496]),
[iquote('para(3,7496)')] ).
cnf(7509,plain,
equal(inverse(divide(A,B)),divide(multiply(inverse(multiply(divide(divide(C,D),E),divide(E,B))),F),divide(multiply(divide(A,divide(C,D)),G),inverse(divide(inverse(G),inverse(F)))))),
inference(flip,[status(thm),theory(equality)],[7508]),
[iquote('flip(7508)')] ).
cnf(7527,plain,
equal(divide(A,divide(multiply(inverse(multiply(divide(divide(B,C),D),divide(D,E))),F),divide(multiply(divide(G,divide(B,C)),H),inverse(divide(inverse(H),inverse(F)))))),multiply(A,divide(G,E))),
inference(para,[status(thm),theory(equality)],[7509,3]),
[iquote('para(7509,3)')] ).
cnf(7528,plain,
equal(multiply(A,divide(B,C)),divide(A,divide(multiply(inverse(multiply(divide(divide(D,E),F),divide(F,C))),G),divide(multiply(divide(B,divide(D,E)),H),inverse(divide(inverse(H),inverse(G))))))),
inference(flip,[status(thm),theory(equality)],[7527]),
[iquote('flip(7527)')] ).
cnf(7691,plain,
equal(divide(divide(inverse(inverse(A)),divide(multiply(inverse(B),C),divide(inverse(multiply(divide(D,E),A)),F))),multiply(inverse(C),B)),divide(multiply(divide(E,D),G),inverse(divide(inverse(G),F)))),
inference(para,[status(thm),theory(equality)],[150,18]),
[iquote('para(150,18)')] ).
cnf(7692,plain,
equal(divide(multiply(divide(A,B),C),inverse(divide(inverse(C),D))),divide(divide(inverse(inverse(E)),divide(multiply(inverse(F),G),divide(inverse(multiply(divide(B,A),E)),D))),multiply(inverse(G),F))),
inference(flip,[status(thm),theory(equality)],[7691]),
[iquote('flip(7691)')] ).
cnf(8510,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),divide(C,D)),divide(D,C)),
inference(para,[status(thm),theory(equality)],[1,1089]),
[iquote('para(1,1089)')] ).
cnf(8511,plain,
equal(divide(A,B),divide(divide(inverse(divide(C,D)),divide(D,C)),divide(B,A))),
inference(flip,[status(thm),theory(equality)],[8510]),
[iquote('flip(8510)')] ).
cnf(8512,plain,
equal(divide(divide(inverse(divide(divide(inverse(divide(A,divide(B,C))),divide(D,A)),E)),divide(C,B)),D),E),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,1089]),1]),
[iquote('para(1,1089),demod([1])')] ).
cnf(8513,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),multiply(C,D)),divide(inverse(D),C)),
inference(para,[status(thm),theory(equality)],[3,8510]),
[iquote('para(3,8510)')] ).
cnf(8515,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),divide(inverse(C),D)),multiply(D,C)),
inference(para,[status(thm),theory(equality)],[8511,3]),
[iquote('para(8511,3)')] ).
cnf(8531,plain,
equal(divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(divide(D,E),inverse(divide(E,D)))),C),
inference(para,[status(thm),theory(equality)],[8510,1]),
[iquote('para(8510,1)')] ).
cnf(8536,plain,
equal(divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),multiply(divide(D,E),divide(E,D))),C),
inference(para,[status(thm),theory(equality)],[3,8531]),
[iquote('para(3,8531)')] ).
cnf(8953,plain,
equal(divide(divide(inverse(divide(A,B)),divide(C,A)),divide(multiply(divide(D,E),divide(E,D)),divide(inverse(divide(divide(F,G),C)),divide(G,F)))),B),
inference(para,[status(thm),theory(equality)],[8536,1]),
[iquote('para(8536,1)')] ).
cnf(8967,plain,
equal(divide(divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(D,C)))),multiply(divide(E,F),divide(F,E))),divide(B,A)),
inference(para,[status(thm),theory(equality)],[8510,8536]),
[iquote('para(8510,8536)')] ).
cnf(8968,plain,
equal(divide(divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(D,C)))),divide(divide(E,F),inverse(divide(F,E)))),divide(B,A)),
inference(para,[status(thm),theory(equality)],[2,8967]),
[iquote('para(2,8967)')] ).
cnf(9048,plain,
equal(divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)),B),
inference(para,[status(thm),theory(equality)],[8513,59]),
[iquote('para(8513,59)')] ).
cnf(9097,plain,
equal(divide(divide(inverse(A),multiply(multiply(B,C),divide(D,divide(A,divide(E,F))))),divide(inverse(C),B)),divide(divide(F,E),D)),
inference(para,[status(thm),theory(equality)],[9048,17]),
[iquote('para(9048,17)')] ).
cnf(9098,plain,
equal(divide(divide(inverse(A),multiply(multiply(inverse(B),C),divide(D,divide(A,divide(E,F))))),multiply(inverse(C),B)),divide(divide(F,E),D)),
inference(para,[status(thm),theory(equality)],[3,9097]),
[iquote('para(3,9097)')] ).
cnf(9184,plain,
equal(divide(divide(inverse(multiply(A,B)),divide(divide(C,D),inverse(divide(D,C)))),multiply(divide(E,F),divide(F,E))),divide(inverse(B),A)),
inference(para,[status(thm),theory(equality)],[8515,8536]),
[iquote('para(8515,8536)')] ).
cnf(9187,plain,
equal(divide(divide(inverse(multiply(A,B)),divide(divide(C,D),inverse(divide(D,C)))),divide(divide(E,F),inverse(divide(F,E)))),divide(inverse(B),A)),
inference(para,[status(thm),theory(equality)],[2,9184]),
[iquote('para(2,9184)')] ).
cnf(9258,plain,
equal(divide(divide(inverse(divide(A,B)),divide(C,D)),divide(D,C)),divide(B,A)),
inference(para,[status(thm),theory(equality)],[8510,8512]),
[iquote('para(8510,8512)')] ).
cnf(9276,plain,
equal(divide(A,divide(B,divide(C,D))),divide(divide(A,divide(D,C)),B)),
inference(para,[status(thm),theory(equality)],[9048,9258]),
[iquote('para(9048,9258)')] ).
cnf(9277,plain,
equal(divide(divide(A,divide(B,C)),D),divide(A,divide(D,divide(C,B)))),
inference(flip,[status(thm),theory(equality)],[9276]),
[iquote('flip(9276)')] ).
cnf(9280,plain,
equal(divide(A,divide(inverse(B),divide(C,D))),multiply(divide(A,divide(D,C)),B)),
inference(para,[status(thm),theory(equality)],[9277,3]),
[iquote('para(9277,3)')] ).
cnf(9290,plain,
equal(divide(divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(D,E)),divide(E,D)),C),
inference(para,[status(thm),theory(equality)],[9276,1]),
[iquote('para(9276,1)')] ).
cnf(9316,plain,
equal(divide(inverse(divide(A,B)),divide(divide(C,D),divide(A,divide(D,C)))),B),
inference(para,[status(thm),theory(equality)],[9277,1]),
[iquote('para(9277,1)')] ).
cnf(9341,plain,
equal(divide(multiply(divide(inverse(divide(divide(A,B),inverse(C))),divide(B,A)),C),divide(D,E)),divide(E,D)),
inference(para,[status(thm),theory(equality)],[9280,8510]),
[iquote('para(9280,8510)')] ).
cnf(9342,plain,
equal(divide(A,B),divide(multiply(divide(inverse(divide(divide(C,D),inverse(E))),divide(D,C)),E),divide(B,A))),
inference(flip,[status(thm),theory(equality)],[9341]),
[iquote('flip(9341)')] ).
cnf(9353,plain,
~ equal(divide(multiply(divide(inverse(divide(divide(A,B),inverse(C))),divide(B,A)),C),divide(inverse(b1),inverse(b1))),multiply(inverse(a1),a1)),
inference(para,[status(thm),theory(equality)],[9342,5]),
[iquote('para(9342,5)')] ).
cnf(9377,plain,
equal(divide(A,divide(divide(B,divide(C,D)),divide(D,C))),divide(A,B)),
inference(para,[status(thm),theory(equality)],[9316,9258]),
[iquote('para(9316,9258)')] ).
cnf(9397,plain,
equal(divide(divide(A,divide(B,C)),divide(C,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9377,1]),1]),1]),
[iquote('para(9377,1),demod([1]),flip(1)')] ).
cnf(9398,plain,
equal(divide(inverse(divide(divide(A,B),C)),divide(B,A)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9290]),9397]),
[iquote('back_demod(9290),demod([9397])')] ).
cnf(9399,plain,
~ equal(divide(multiply(inverse(A),A),divide(inverse(b1),inverse(b1))),multiply(inverse(a1),a1)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9353]),9398]),
[iquote('back_demod(9353),demod([9398])')] ).
cnf(9431,plain,
equal(divide(divide(inverse(divide(A,B)),divide(C,A)),divide(multiply(divide(D,E),divide(E,D)),C)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8953]),9398]),
[iquote('back_demod(8953),demod([9398])')] ).
cnf(9434,plain,
equal(divide(A,multiply(divide(B,C),divide(C,B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8536]),9398]),
[iquote('back_demod(8536),demod([9398])')] ).
cnf(9435,plain,
equal(divide(inverse(multiply(A,B)),divide(divide(C,D),inverse(divide(D,C)))),divide(inverse(B),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9184]),9434]),
[iquote('back_demod(9184),demod([9434])')] ).
cnf(9436,plain,
equal(divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,C)))),divide(inverse(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9187]),9435]),
[iquote('back_demod(9187),demod([9435])')] ).
cnf(9444,plain,
equal(divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(D,C)))),divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8968]),9436]),
[iquote('back_demod(8968),demod([9436])')] ).
cnf(9453,plain,
equal(divide(A,divide(divide(B,C),inverse(divide(C,B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8531]),9398]),
[iquote('back_demod(8531),demod([9398])')] ).
cnf(9454,plain,
equal(inverse(divide(A,B)),divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9444]),9453]),
[iquote('back_demod(9444),demod([9453])')] ).
cnf(9455,plain,
equal(divide(A,divide(divide(B,C),divide(B,C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9453]),9454]),
[iquote('back_demod(9453),demod([9454])')] ).
cnf(9465,plain,
equal(inverse(multiply(A,B)),divide(inverse(B),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9435]),9454,9455]),
[iquote('back_demod(9435),demod([9454,9455])')] ).
cnf(10182,plain,
equal(divide(multiply(divide(A,B),C),divide(D,inverse(C))),divide(divide(inverse(inverse(E)),divide(multiply(inverse(F),G),divide(divide(inverse(E),divide(B,A)),D))),multiply(inverse(G),F))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7692]),9454,9465]),
[iquote('back_demod(7692),demod([9454,9465])')] ).
cnf(10183,plain,
equal(divide(divide(inverse(inverse(A)),divide(multiply(inverse(B),C),divide(divide(inverse(A),divide(D,E)),F))),multiply(inverse(C),B)),divide(multiply(divide(E,D),G),divide(F,inverse(G)))),
inference(flip,[status(thm),theory(equality)],[10182]),
[iquote('flip(10182)')] ).
cnf(10310,plain,
equal(multiply(A,divide(B,C)),divide(A,divide(multiply(divide(divide(C,D),divide(divide(E,F),D)),G),divide(multiply(divide(B,divide(E,F)),H),divide(inverse(G),inverse(H)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7528]),9465,9454,9454]),
[iquote('back_demod(7528),demod([9465,9454,9454])')] ).
cnf(10311,plain,
equal(divide(A,divide(multiply(divide(divide(B,C),divide(divide(D,E),C)),F),divide(multiply(divide(G,divide(D,E)),H),divide(inverse(F),inverse(H))))),multiply(A,divide(G,B))),
inference(flip,[status(thm),theory(equality)],[10310]),
[iquote('flip(10310)')] ).
cnf(10323,plain,
equal(divide(multiply(divide(divide(A,B),divide(divide(C,D),B)),E),divide(multiply(divide(F,divide(C,D)),G),divide(inverse(E),inverse(G)))),divide(A,F)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7509]),9454,9465,9454,9454]),1]),
[iquote('back_demod(7509),demod([9454,9465,9454,9454]),flip(1)')] ).
cnf(10324,plain,
equal(multiply(A,divide(B,C)),divide(A,divide(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10311]),10323]),1]),
[iquote('back_demod(10311),demod([10323]),flip(1)')] ).
cnf(10398,plain,
equal(divide(divide(divide(A,B),divide(C,B)),divide(divide(divide(D,E),divide(D,E)),C)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9431]),9454,10324]),
[iquote('back_demod(9431),demod([9454,10324])')] ).
cnf(10420,plain,
equal(divide(divide(inverse(A),divide(multiply(inverse(B),C),divide(divide(A,divide(D,E)),F))),multiply(inverse(C),B)),divide(divide(E,D),F)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9098]),10324]),
[iquote('back_demod(9098),demod([10324])')] ).
cnf(10425,plain,
equal(divide(multiply(divide(A,B),C),divide(D,inverse(C))),divide(divide(A,B),D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10183]),10420]),1]),
[iquote('back_demod(10183),demod([10420]),flip(1)')] ).
cnf(10446,plain,
equal(divide(divide(divide(A,B),divide(divide(C,D),B)),divide(E,divide(C,D))),divide(A,E)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10323]),10425,10425]),
[iquote('back_demod(10323),demod([10425,10425])')] ).
cnf(10770,plain,
equal(divide(divide(inverse(A),B),divide(divide(divide(C,divide(A,divide(D,E))),F),divide(B,F))),divide(divide(E,D),C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7354]),9454,10425,9454,10324]),1]),
[iquote('back_demod(7354),demod([9454,10425,9454,10324]),flip(1)')] ).
cnf(11198,plain,
equal(divide(divide(divide(A,B),C),divide(D,C)),divide(divide(A,B),D)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3671]),10324,9465,10324,10770]),
[iquote('back_demod(3671),demod([10324,9465,10324,10770])')] ).
cnf(11409,plain,
equal(divide(divide(inverse(A),B),divide(divide(C,divide(A,divide(divide(D,E),F))),B)),divide(F,divide(C,divide(E,D)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3565]),9454,9454,11198,9454,10324,11198]),1]),
[iquote('back_demod(3565),demod([9454,9454,11198,9454,10324,11198]),flip(1)')] ).
cnf(11436,plain,
equal(divide(divide(A,B),divide(C,B)),divide(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3512]),9454,9454,9454,10324,11198,11409,10446]),
[iquote('back_demod(3512),demod([9454,9454,9454,10324,11198,11409,10446])')] ).
cnf(11752,plain,
equal(divide(A,divide(B,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10398]),11436,11436,11436]),
[iquote('back_demod(10398),demod([11436,11436,11436])')] ).
cnf(11753,plain,
$false,
inference(conflict,[status(thm)],[11752,9399]),
[iquote('conflict(11752,9399)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP472-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n023.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 : Mon Jun 13 19:14:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.80/4.19 ----- EQP 0.9e, May 2009 -----
% 3.80/4.19 The job began on n023.cluster.edu, Mon Jun 13 19:14:51 2022
% 3.80/4.19 The command was "./eqp09e".
% 3.80/4.19
% 3.80/4.19 set(prolog_style_variables).
% 3.80/4.19 set(lrpo).
% 3.80/4.19 set(basic_paramod).
% 3.80/4.19 set(functional_subsume).
% 3.80/4.19 set(ordered_paramod).
% 3.80/4.19 set(prime_paramod).
% 3.80/4.19 set(para_pairs).
% 3.80/4.19 assign(pick_given_ratio,4).
% 3.80/4.19 clear(print_kept).
% 3.80/4.19 clear(print_new_demod).
% 3.80/4.19 clear(print_back_demod).
% 3.80/4.19 clear(print_given).
% 3.80/4.19 assign(max_mem,64000).
% 3.80/4.19 end_of_commands.
% 3.80/4.19
% 3.80/4.19 Usable:
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 Sos:
% 3.80/4.19 0 (wt=-1) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 3.80/4.19 0 (wt=-1) [] multiply(A,B) = divide(A,inverse(B)).
% 3.80/4.19 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 Demodulators:
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 Passive:
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 Starting to process input.
% 3.80/4.19
% 3.80/4.19 ** KEPT: 1 (wt=16) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 3.80/4.19 1 is a new demodulator.
% 3.80/4.19
% 3.80/4.19 ** KEPT: 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 3.80/4.19
% 3.80/4.19 ** KEPT: 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 3.80/4.19 clause forward subsumed: 0 (wt=8) [flip(3)] multiply(A,B) = divide(A,inverse(B)).
% 3.80/4.19
% 3.80/4.19 ** KEPT: 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 3.80/4.19 ---------------- PROOF FOUND ----------------
% 3.80/4.19 % SZS status Unsatisfiable
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 After processing input:
% 3.80/4.19
% 3.80/4.19 Usable:
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 Sos:
% 3.80/4.19 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 3.80/4.19 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 3.80/4.19 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 3.80/4.19 1 (wt=16) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 Demodulators:
% 3.80/4.19 1 (wt=16) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 Passive:
% 3.80/4.19 end_of_list.
% 3.80/4.19
% 3.80/4.19 UNIT CONFLICT from 11752 and 9399 at 2.66 seconds.
% 3.80/4.19
% 3.80/4.19 ---------------- PROOF ----------------
% 3.80/4.19 % SZS output start Refutation
% See solution above
% 3.80/4.19 ------------ end of proof -------------
% 3.80/4.19
% 3.80/4.19
% 3.80/4.19 ------------- memory usage ------------
% 3.80/4.19 Memory dynamically allocated (tp_alloc): 32714.
% 3.80/4.19 type (bytes each) gets frees in use avail bytes
% 3.80/4.19 sym_ent ( 96) 57 0 57 0 5.3 K
% 3.80/4.19 term ( 16) 1186968 754576 432392 42 8400.1 K
% 3.80/4.19 gen_ptr ( 8) 2587353 243764 2343589 95 18310.0 K
% 3.80/4.19 context ( 808) 835304 835302 2 4 4.7 K
% 3.80/4.19 trail ( 12) 413850 413850 0 18 0.2 K
% 3.80/4.19 bt_node ( 68) 223712 223709 3 36 2.6 K
% 3.80/4.19 ac_position (285432) 0 0 0 0 0.0 K
% 3.80/4.19 ac_match_pos (14044) 0 0 0 0 0.0 K
% 3.80/4.19 ac_match_free_vars_pos (4020)
% 3.80/4.19 0 0 0 0 0.0 K
% 3.80/4.19 discrim ( 12) 297355 85167 212188 26945 2802.3 K
% 3.80/4.19 flat ( 40) 3138380 3138380 0 70 2.7 K
% 3.80/4.19 discrim_pos ( 12) 21482 21482 0 1 0.0 K
% 3.80/4.19 fpa_head ( 12) 16402 0 16402 0 192.2 K
% 3.80/4.19 fpa_tree ( 28) 159456 159456 0 53 1.4 K
% 3.80/4.19 fpa_pos ( 36) 17328 17328 0 1 0.0 K
% 3.80/4.19 literal ( 12) 41869 30117 11752 1 137.7 K
% 3.80/4.19 clause ( 24) 41869 30117 11752 1 275.5 K
% 3.80/4.19 list ( 12) 5635 5568 67 3 0.8 K
% 3.80/4.19 list_pos ( 20) 60657 17048 43609 2694 904.4 K
% 3.80/4.19 pair_index ( 40) 2 0 2 0 0.1 K
% 3.80/4.19
% 3.80/4.19 -------------- statistics -------------
% 3.80/4.19 Clauses input 3
% 3.80/4.19 Usable input 0
% 3.80/4.19 Sos input 3
% 3.80/4.19 Demodulators input 0
% 3.80/4.19 Passive input 0
% 3.80/4.19
% 3.80/4.19 Processed BS (before search) 5
% 3.80/4.19 Forward subsumed BS 1
% 3.80/4.19 Kept BS 4
% 3.80/4.19 New demodulators BS 1
% 3.80/4.19 Back demodulated BS 0
% 3.80/4.19
% 3.80/4.19 Clauses or pairs given 18511
% 3.80/4.19 Clauses generated 24054
% 3.80/4.19 Forward subsumed 12306
% 3.80/4.19 Deleted by weight 0
% 3.80/4.19 Deleted by variable count 0
% 3.80/4.19 Kept 11748
% 3.80/4.19 New demodulators 5575
% 3.80/4.19 Back demodulated 3771
% 3.80/4.19 Ordered paramod prunes 0
% 3.80/4.19 Basic paramod prunes 136801
% 3.80/4.19 Prime paramod prunes 126
% 3.80/4.19 Semantic prunes 0
% 3.80/4.19
% 3.80/4.19 Rewrite attmepts 492913
% 3.80/4.19 Rewrites 14688
% 3.80/4.19
% 3.80/4.19 FPA overloads 0
% 3.80/4.19 FPA underloads 0
% 3.80/4.19
% 3.80/4.19 Usable size 0
% 3.80/4.19 Sos size 7980
% 3.80/4.19 Demodulators size 3665
% 3.80/4.19 Passive size 0
% 3.80/4.19 Disabled size 3771
% 3.80/4.19
% 3.80/4.19 Proofs found 1
% 3.80/4.19
% 3.80/4.19 ----------- times (seconds) ----------- Mon Jun 13 19:14:55 2022
% 3.80/4.19
% 3.80/4.19 user CPU time 2.66 (0 hr, 0 min, 2 sec)
% 3.80/4.19 system CPU time 0.37 (0 hr, 0 min, 0 sec)
% 3.80/4.19 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 3.80/4.19 input time 0.00
% 3.80/4.19 paramodulation time 0.12
% 3.80/4.19 demodulation time 0.12
% 3.80/4.19 orient time 0.06
% 3.80/4.19 weigh time 0.02
% 3.80/4.19 forward subsume time 0.05
% 3.80/4.19 back demod find time 0.48
% 3.80/4.19 conflict time 0.09
% 3.80/4.19 LRPO time 0.03
% 3.80/4.19 store clause time 0.95
% 3.80/4.19 disable clause time 0.62
% 3.80/4.19 prime paramod time 0.03
% 3.80/4.19 semantics time 0.00
% 3.80/4.19
% 3.80/4.19 EQP interrupted
%------------------------------------------------------------------------------