TSTP Solution File: GRP473-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP473-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n013.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 6.43s 6.80s
% Output : Refutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of clauses : 107 ( 107 unt; 0 nHn; 8 RR)
% Number of literals : 107 ( 0 equ; 7 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 : 553 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)),B),
file('GRP473-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,inverse(B))),
file('GRP473-1.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(multiply(inverse(b2),b2),a2),a2),
file('GRP473-1.p',unknown),
[] ).
cnf(5,plain,
~ equal(multiply(divide(inverse(b2),inverse(b2)),a2),a2),
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(10,plain,
~ equal(divide(divide(inverse(b2),inverse(b2)),inverse(a2)),a2),
inference(para,[status(thm),theory(equality)],[2,5]),
[iquote('para(2,5)')] ).
cnf(11,plain,
equal(divide(divide(inverse(multiply(A,B)),divide(divide(C,D),A)),divide(D,C)),inverse(B)),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(12,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(13,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(25,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)],[3,12]),
[iquote('para(3,12)')] ).
cnf(26,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)],[3,12]),
[iquote('para(3,12)')] ).
cnf(37,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(53,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(60,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(61,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)],[3,60]),
[iquote('para(3,60)')] ).
cnf(110,plain,
equal(divide(divide(inverse(multiply(divide(divide(A,B),divide(inverse(divide(C,D)),divide(divide(B,A),C))),E)),F),divide(divide(D,G),inverse(divide(G,F)))),inverse(E)),
inference(para,[status(thm),theory(equality)],[7,11]),
[iquote('para(7,11)')] ).
cnf(114,plain,
equal(divide(divide(inverse(multiply(divide(divide(divide(A,B),C),inverse(divide(C,D))),E)),F),divide(D,inverse(divide(divide(B,A),F)))),inverse(E)),
inference(para,[status(thm),theory(equality)],[8,11]),
[iquote('para(8,11)')] ).
cnf(156,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)],[13,1]),
[iquote('para(13,1)')] ).
cnf(158,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)],[3,156]),
[iquote('para(3,156)')] ).
cnf(160,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)],[3,156]),
[iquote('para(3,156)')] ).
cnf(969,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)],[37,6]),
[iquote('para(37,6)')] ).
cnf(977,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)],[969,1]),
[iquote('para(969,1)')] ).
cnf(2497,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)],[53,53]),
[iquote('para(53,53)')] ).
cnf(2498,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)],[2497,3]),
[iquote('para(2497,3)')] ).
cnf(3254,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)],[61,60]),
[iquote('para(61,60)')] ).
cnf(3255,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)],[3254]),
[iquote('flip(3254)')] ).
cnf(7815,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)],[160,60]),
[iquote('para(160,60)')] ).
cnf(7816,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)],[7815]),
[iquote('flip(7815)')] ).
cnf(7821,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)],[7816,2]),
[iquote('para(7816,2)')] ).
cnf(7822,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)],[7821]),
[iquote('flip(7821)')] ).
cnf(7970,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)],[2498,160]),
[iquote('para(2498,160)')] ).
cnf(7974,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)],[2,7970]),
[iquote('para(2,7970)')] ).
cnf(7986,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)],[3,7974]),
[iquote('para(3,7974)')] ).
cnf(7987,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)],[7986]),
[iquote('flip(7986)')] ).
cnf(8007,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)],[7987,3]),
[iquote('para(7987,3)')] ).
cnf(8008,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)],[8007]),
[iquote('flip(8007)')] ).
cnf(8161,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)],[158,26]),
[iquote('para(158,26)')] ).
cnf(8162,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)],[8161]),
[iquote('flip(8161)')] ).
cnf(8917,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),divide(C,D)),divide(D,C)),
inference(para,[status(thm),theory(equality)],[1,977]),
[iquote('para(1,977)')] ).
cnf(8918,plain,
equal(divide(A,B),divide(divide(inverse(divide(C,D)),divide(D,C)),divide(B,A))),
inference(flip,[status(thm),theory(equality)],[8917]),
[iquote('flip(8917)')] ).
cnf(8919,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)],[1,977]),1]),
[iquote('para(1,977),demod([1])')] ).
cnf(8920,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),multiply(C,D)),divide(inverse(D),C)),
inference(para,[status(thm),theory(equality)],[3,8917]),
[iquote('para(3,8917)')] ).
cnf(8922,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),divide(inverse(C),D)),multiply(D,C)),
inference(para,[status(thm),theory(equality)],[8918,3]),
[iquote('para(8918,3)')] ).
cnf(8958,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)],[8917,1]),
[iquote('para(8917,1)')] ).
cnf(8964,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)],[3,8958]),
[iquote('para(3,8958)')] ).
cnf(9365,plain,
equal(divide(divide(inverse(inverse(A)),divide(B,divide(inverse(multiply(divide(divide(C,D),divide(inverse(divide(E,F)),divide(divide(D,C),E))),A)),G))),divide(divide(H,I),divide(inverse(divide(J,B)),divide(divide(I,H),J)))),divide(divide(F,K),inverse(divide(K,G)))),
inference(para,[status(thm),theory(equality)],[110,7]),
[iquote('para(110,7)')] ).
cnf(9366,plain,
equal(divide(divide(A,B),inverse(divide(B,C))),divide(divide(inverse(inverse(D)),divide(E,divide(inverse(multiply(divide(divide(F,G),divide(inverse(divide(H,A)),divide(divide(G,F),H))),D)),C))),divide(divide(I,J),divide(inverse(divide(K,E)),divide(divide(J,I),K))))),
inference(flip,[status(thm),theory(equality)],[9365]),
[iquote('flip(9365)')] ).
cnf(9655,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)],[8964,1]),
[iquote('para(8964,1)')] ).
cnf(9680,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)],[8917,8964]),
[iquote('para(8917,8964)')] ).
cnf(9681,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)],[2,9680]),
[iquote('para(2,9680)')] ).
cnf(9692,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),divide(multiply(divide(C,D),divide(D,C)),divide(inverse(divide(divide(E,F),G)),divide(F,E)))),G),
inference(para,[status(thm),theory(equality)],[8918,8964]),
[iquote('para(8918,8964)')] ).
cnf(9892,plain,
equal(divide(divide(inverse(inverse(A)),divide(B,divide(inverse(multiply(divide(divide(divide(C,D),E),inverse(divide(E,F))),A)),G))),divide(divide(H,I),divide(inverse(divide(J,B)),divide(divide(I,H),J)))),divide(F,inverse(divide(divide(D,C),G)))),
inference(para,[status(thm),theory(equality)],[114,7]),
[iquote('para(114,7)')] ).
cnf(9893,plain,
equal(divide(A,inverse(divide(divide(B,C),D))),divide(divide(inverse(inverse(E)),divide(F,divide(inverse(multiply(divide(divide(divide(C,B),G),inverse(divide(G,A))),E)),D))),divide(divide(H,I),divide(inverse(divide(J,F)),divide(divide(I,H),J))))),
inference(flip,[status(thm),theory(equality)],[9892]),
[iquote('flip(9892)')] ).
cnf(10026,plain,
equal(divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)),B),
inference(para,[status(thm),theory(equality)],[8920,60]),
[iquote('para(8920,60)')] ).
cnf(10070,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)],[10026,25]),
[iquote('para(10026,25)')] ).
cnf(10071,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)],[3,10070]),
[iquote('para(3,10070)')] ).
cnf(10142,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)],[8922,8964]),
[iquote('para(8922,8964)')] ).
cnf(10143,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)],[2,10142]),
[iquote('para(2,10142)')] ).
cnf(10208,plain,
equal(divide(divide(inverse(divide(A,B)),divide(C,D)),divide(D,C)),divide(B,A)),
inference(para,[status(thm),theory(equality)],[8917,8919]),
[iquote('para(8917,8919)')] ).
cnf(10221,plain,
equal(divide(A,divide(B,divide(C,D))),divide(divide(A,divide(D,C)),B)),
inference(para,[status(thm),theory(equality)],[10026,10208]),
[iquote('para(10026,10208)')] ).
cnf(10222,plain,
equal(divide(divide(A,divide(B,C)),D),divide(A,divide(D,divide(C,B)))),
inference(flip,[status(thm),theory(equality)],[10221]),
[iquote('flip(10221)')] ).
cnf(10231,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)],[10221,1]),
[iquote('para(10221,1)')] ).
cnf(10234,plain,
equal(divide(divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),C),divide(D,E)),divide(E,D)),
inference(para,[status(thm),theory(equality)],[10221,8917]),
[iquote('para(10221,8917)')] ).
cnf(10235,plain,
equal(divide(A,B),divide(divide(divide(inverse(divide(divide(C,D),E)),divide(D,C)),E),divide(B,A))),
inference(flip,[status(thm),theory(equality)],[10234]),
[iquote('flip(10234)')] ).
cnf(10249,plain,
~ equal(divide(divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),C),divide(inverse(a2),divide(inverse(b2),inverse(b2)))),a2),
inference(para,[status(thm),theory(equality)],[10235,10]),
[iquote('para(10235,10)')] ).
cnf(10285,plain,
equal(divide(inverse(divide(A,B)),divide(divide(C,D),divide(A,divide(D,C)))),B),
inference(para,[status(thm),theory(equality)],[10222,1]),
[iquote('para(10222,1)')] ).
cnf(10401,plain,
equal(divide(A,divide(divide(B,divide(C,D)),divide(D,C))),divide(A,B)),
inference(para,[status(thm),theory(equality)],[10285,10208]),
[iquote('para(10285,10208)')] ).
cnf(10421,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)],[10401,1]),1]),1]),
[iquote('para(10401,1),demod([1]),flip(1)')] ).
cnf(10422,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)],[10231]),10421]),
[iquote('back_demod(10231),demod([10421])')] ).
cnf(10439,plain,
~ equal(divide(divide(A,A),divide(inverse(a2),divide(inverse(b2),inverse(b2)))),a2),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10249]),10422]),
[iquote('back_demod(10249),demod([10422])')] ).
cnf(10459,plain,
equal(divide(divide(inverse(divide(A,B)),divide(B,A)),divide(multiply(divide(C,D),divide(D,C)),E)),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9692]),10422]),
[iquote('back_demod(9692),demod([10422])')] ).
cnf(10463,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)],[9655]),10422]),
[iquote('back_demod(9655),demod([10422])')] ).
cnf(10466,plain,
equal(divide(A,multiply(divide(B,C),divide(C,B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8964]),10422]),
[iquote('back_demod(8964),demod([10422])')] ).
cnf(10467,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)],[10142]),10466]),
[iquote('back_demod(10142),demod([10466])')] ).
cnf(10468,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)],[10143]),10467]),
[iquote('back_demod(10143),demod([10467])')] ).
cnf(10477,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)],[9681]),10468]),
[iquote('back_demod(9681),demod([10468])')] ).
cnf(10486,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)],[8958]),10422]),
[iquote('back_demod(8958),demod([10422])')] ).
cnf(10487,plain,
equal(inverse(divide(A,B)),divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10477]),10486]),
[iquote('back_demod(10477),demod([10486])')] ).
cnf(10488,plain,
equal(divide(A,divide(divide(B,C),divide(B,C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10486]),10487]),
[iquote('back_demod(10486),demod([10487])')] ).
cnf(10499,plain,
equal(inverse(multiply(A,B)),divide(inverse(B),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10467]),10487,10488]),
[iquote('back_demod(10467),demod([10487,10488])')] ).
cnf(10793,plain,
equal(divide(divide(inverse(inverse(A)),divide(B,divide(divide(inverse(A),divide(divide(divide(C,D),E),divide(F,E))),G))),divide(divide(H,I),divide(divide(B,J),divide(divide(I,H),J)))),divide(F,divide(G,divide(D,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9893]),10487,10487,10499,10487]),1]),
[iquote('back_demod(9893),demod([10487,10487,10499,10487]),flip(1)')] ).
cnf(11172,plain,
equal(divide(divide(A,B),divide(C,B)),divide(divide(inverse(inverse(D)),divide(E,divide(divide(inverse(D),divide(divide(F,G),divide(divide(A,H),divide(divide(G,F),H)))),C))),divide(divide(I,J),divide(divide(E,K),divide(divide(J,I),K))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9366]),10487,10487,10499,10487]),
[iquote('back_demod(9366),demod([10487,10487,10499,10487])')] ).
cnf(11173,plain,
equal(divide(divide(inverse(inverse(A)),divide(B,divide(divide(inverse(A),divide(divide(C,D),divide(divide(E,F),divide(divide(D,C),F)))),G))),divide(divide(H,I),divide(divide(B,J),divide(divide(I,H),J)))),divide(divide(E,K),divide(G,K))),
inference(flip,[status(thm),theory(equality)],[11172]),
[iquote('flip(11172)')] ).
cnf(12004,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)],[8162]),10487,10499]),
[iquote('back_demod(8162),demod([10487,10499])')] ).
cnf(12005,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)],[12004]),
[iquote('flip(12004)')] ).
cnf(12122,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)],[8008]),10499,10487,10487]),
[iquote('back_demod(8008),demod([10499,10487,10487])')] ).
cnf(12123,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)],[12122]),
[iquote('flip(12122)')] ).
cnf(12137,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)],[7987]),10487,10499,10487,10487]),1]),
[iquote('back_demod(7987),demod([10487,10499,10487,10487]),flip(1)')] ).
cnf(12138,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)],[12123]),12137]),1]),
[iquote('back_demod(12123),demod([12137]),flip(1)')] ).
cnf(12198,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)],[10463]),10487,12138]),
[iquote('back_demod(10463),demod([10487,12138])')] ).
cnf(12201,plain,
equal(divide(divide(divide(A,B),divide(A,B)),divide(divide(divide(C,D),divide(C,D)),E)),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10459]),10487,12138]),
[iquote('back_demod(10459),demod([10487,12138])')] ).
cnf(12220,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)],[10071]),12138]),
[iquote('back_demod(10071),demod([12138])')] ).
cnf(12225,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)],[12005]),12220]),1]),
[iquote('back_demod(12005),demod([12220]),flip(1)')] ).
cnf(12246,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)],[12137]),12225,12225]),
[iquote('back_demod(12137),demod([12225,12225])')] ).
cnf(12617,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)],[7822]),10487,12225,10487,12138]),1]),
[iquote('back_demod(7822),demod([10487,12225,10487,12138]),flip(1)')] ).
cnf(13304,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)],[3255]),12138,10499,12138,12617]),
[iquote('back_demod(3255),demod([12138,10499,12138,12617])')] ).
cnf(13704,plain,
equal(divide(divide(inverse(inverse(A)),divide(B,divide(divide(inverse(A),divide(divide(C,D),E)),F))),divide(divide(G,H),divide(divide(B,I),divide(divide(H,G),I)))),divide(E,divide(F,divide(D,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10793]),13304]),
[iquote('back_demod(10793),demod([13304])')] ).
cnf(13705,plain,
equal(divide(divide(A,B),divide(C,B)),divide(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11173]),13704,12246]),1]),
[iquote('back_demod(11173),demod([13704,12246]),flip(1)')] ).
cnf(14235,plain,
equal(divide(divide(A,A),divide(divide(B,B),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12201]),13705,13705]),
[iquote('back_demod(12201),demod([13705,13705])')] ).
cnf(14237,plain,
equal(divide(A,divide(B,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12198]),13705,13705,13705]),
[iquote('back_demod(12198),demod([13705,13705,13705])')] ).
cnf(14242,plain,
~ equal(divide(divide(A,A),inverse(a2)),a2),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10439]),14237]),
[iquote('back_demod(10439),demod([14237])')] ).
cnf(16640,plain,
equal(inverse(A),divide(divide(B,B),A)),
inference(para,[status(thm),theory(equality)],[14237,10487]),
[iquote('para(14237,10487)')] ).
cnf(16654,plain,
~ equal(a2,a2),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16640,14242]),14235]),
[iquote('para(16640,14242),demod([14235])')] ).
cnf(16655,plain,
$false,
inference(conflict,[status(thm)],[16654]),
[iquote('xx_conflict(16654)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP473-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n013.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 16:49:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.43/6.80 ----- EQP 0.9e, May 2009 -----
% 6.43/6.80 The job began on n013.cluster.edu, Mon Jun 13 16:49:59 2022
% 6.43/6.80 The command was "./eqp09e".
% 6.43/6.80
% 6.43/6.80 set(prolog_style_variables).
% 6.43/6.80 set(lrpo).
% 6.43/6.80 set(basic_paramod).
% 6.43/6.80 set(functional_subsume).
% 6.43/6.80 set(ordered_paramod).
% 6.43/6.80 set(prime_paramod).
% 6.43/6.80 set(para_pairs).
% 6.43/6.80 assign(pick_given_ratio,4).
% 6.43/6.80 clear(print_kept).
% 6.43/6.80 clear(print_new_demod).
% 6.43/6.80 clear(print_back_demod).
% 6.43/6.80 clear(print_given).
% 6.43/6.80 assign(max_mem,64000).
% 6.43/6.80 end_of_commands.
% 6.43/6.80
% 6.43/6.80 Usable:
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 Sos:
% 6.43/6.80 0 (wt=-1) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 6.43/6.80 0 (wt=-1) [] multiply(A,B) = divide(A,inverse(B)).
% 6.43/6.80 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 Demodulators:
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 Passive:
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 Starting to process input.
% 6.43/6.80
% 6.43/6.80 ** KEPT: 1 (wt=16) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 6.43/6.80 1 is a new demodulator.
% 6.43/6.80
% 6.43/6.80 ** KEPT: 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 6.43/6.80
% 6.43/6.80 ** KEPT: 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 6.43/6.80 clause forward subsumed: 0 (wt=8) [flip(3)] multiply(A,B) = divide(A,inverse(B)).
% 6.43/6.80
% 6.43/6.80 ** KEPT: 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 6.43/6.80 ---------------- PROOF FOUND ----------------
% 6.43/6.80 % SZS status Unsatisfiable
% 6.43/6.80
% 6.43/6.80
% 6.43/6.80 After processing input:
% 6.43/6.80
% 6.43/6.80 Usable:
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 Sos:
% 6.43/6.80 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 6.43/6.80 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 6.43/6.80 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 6.43/6.80 1 (wt=16) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 Demodulators:
% 6.43/6.80 1 (wt=16) [] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B.
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 Passive:
% 6.43/6.80 end_of_list.
% 6.43/6.80
% 6.43/6.80 UNIT CONFLICT from 16654 and x=x at 5.30 seconds.
% 6.43/6.80
% 6.43/6.80 ---------------- PROOF ----------------
% 6.43/6.80 % SZS output start Refutation
% See solution above
% 6.43/6.80 ------------ end of proof -------------
% 6.43/6.80
% 6.43/6.80
% 6.43/6.80 ------------- memory usage ------------
% 6.43/6.80 Memory dynamically allocated (tp_alloc): 45898.
% 6.43/6.80 type (bytes each) gets frees in use avail bytes
% 6.43/6.80 sym_ent ( 96) 57 0 57 0 5.3 K
% 6.43/6.80 term ( 16) 2078504 1457781 620723 50 12059.4 K
% 6.43/6.80 gen_ptr ( 8) 4355408 972629 3382779 106 26428.8 K
% 6.43/6.80 context ( 808) 1322480 1322478 2 4 4.7 K
% 6.43/6.80 trail ( 12) 632136 632136 0 18 0.2 K
% 6.43/6.80 bt_node ( 68) 302879 302877 2 37 2.6 K
% 6.43/6.80 ac_position (285432) 0 0 0 0 0.0 K
% 6.43/6.80 ac_match_pos (14044) 0 0 0 0 0.0 K
% 6.43/6.80 ac_match_free_vars_pos (4020)
% 6.43/6.80 0 0 0 0 0.0 K
% 6.43/6.80 discrim ( 12) 444563 401647 42916 230564 3204.8 K
% 6.43/6.80 flat ( 40) 5570401 5570401 0 70 2.7 K
% 6.43/6.80 discrim_pos ( 12) 77948 77948 0 1 0.0 K
% 6.43/6.80 fpa_head ( 12) 18445 0 18445 0 216.2 K
% 6.43/6.80 fpa_tree ( 28) 205299 205299 0 53 1.4 K
% 6.43/6.80 fpa_pos ( 36) 25156 25156 0 1 0.0 K
% 6.43/6.80 literal ( 12) 64711 48057 16654 1 195.2 K
% 6.43/6.80 clause ( 24) 64711 48057 16654 1 390.4 K
% 6.43/6.80 list ( 12) 8562 8506 56 15 0.8 K
% 6.43/6.80 list_pos ( 20) 94534 73006 21528 29793 1002.4 K
% 6.43/6.80 pair_index ( 40) 2 0 2 0 0.1 K
% 6.43/6.80
% 6.43/6.80 -------------- statistics -------------
% 6.43/6.80 Clauses input 3
% 6.43/6.80 Usable input 0
% 6.43/6.80 Sos input 3
% 6.43/6.80 Demodulators input 0
% 6.43/6.80 Passive input 0
% 6.43/6.80
% 6.43/6.80 Processed BS (before search) 5
% 6.43/6.80 Forward subsumed BS 1
% 6.43/6.80 Kept BS 4
% 6.43/6.80 New demodulators BS 1
% 6.43/6.80 Back demodulated BS 0
% 6.43/6.80
% 6.43/6.80 Clauses or pairs given 24947
% 6.43/6.80 Clauses generated 37838
% 6.43/6.80 Forward subsumed 21188
% 6.43/6.80 Deleted by weight 0
% 6.43/6.80 Deleted by variable count 0
% 6.43/6.80 Kept 16650
% 6.43/6.80 New demodulators 8502
% 6.43/6.80 Back demodulated 14697
% 6.43/6.80 Ordered paramod prunes 0
% 6.43/6.80 Basic paramod prunes 174123
% 6.43/6.80 Prime paramod prunes 160
% 6.43/6.80 Semantic prunes 0
% 6.43/6.80
% 6.43/6.80 Rewrite attmepts 862654
% 6.43/6.80 Rewrites 66429
% 6.43/6.80
% 6.43/6.80 FPA overloads 0
% 6.43/6.80 FPA underloads 0
% 6.43/6.80
% 6.43/6.80 Usable size 0
% 6.43/6.80 Sos size 1956
% 6.43/6.80 Demodulators size 963
% 6.43/6.80 Passive size 0
% 6.43/6.80 Disabled size 14697
% 6.43/6.80
% 6.43/6.80 Proofs found 1
% 6.43/6.80
% 6.43/6.80 ----------- times (seconds) ----------- Mon Jun 13 16:50:05 2022
% 6.43/6.80
% 6.43/6.80 user CPU time 5.30 (0 hr, 0 min, 5 sec)
% 6.43/6.80 system CPU time 0.44 (0 hr, 0 min, 0 sec)
% 6.43/6.80 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.43/6.80 input time 0.00
% 6.43/6.80 paramodulation time 0.13
% 6.43/6.80 demodulation time 0.24
% 6.43/6.80 orient time 0.10
% 6.43/6.80 weigh time 0.04
% 6.43/6.80 forward subsume time 0.08
% 6.43/6.80 back demod find time 1.17
% 6.43/6.80 conflict time 0.12
% 6.43/6.80 LRPO time 0.05
% 6.43/6.80 store clause time 1.53
% 6.43/6.80 disable clause time 1.66
% 6.43/6.80 prime paramod time 0.04
% 6.43/6.80 semantics time 0.00
% 6.43/6.80
% 6.43/6.80 EQP interrupted
%------------------------------------------------------------------------------