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EQP---0.9e.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : ALG005-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n032.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 : Thu Jul 14 15:38:13 EDT 2022

% Result   : Unsatisfiable 0.53s 1.05s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   82 (  82 unt;   0 nHn;   5 RR)
%            Number of literals    :   82 (   0 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  242 (  38 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(difference(A,difference(B,A)),A),
    file('ALG005-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(difference(A,difference(A,B)),difference(B,difference(B,A))),
    file('ALG005-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(difference(difference(A,B),C),difference(difference(A,C),difference(B,C))),
    file('ALG005-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(difference(difference(A,B),difference(C,B)),difference(difference(A,C),B)),
    inference(flip,[status(thm),theory(equality)],[3]),
    [iquote('flip(3)')] ).

cnf(5,plain,
    equal(multiply(A,B),difference(A,difference(A,B))),
    file('ALG005-1.p',unknown),
    [] ).

cnf(6,plain,
    ~ equal(difference(difference(a,difference(a,b)),difference(difference(a,difference(a,b)),c)),difference(a,difference(a,difference(b,difference(b,c))))),
    inference(demod,[status(thm),theory(equality)],[5,5,5,5]),
    [iquote('demod([5,5,5,5])')] ).

cnf(7,plain,
    equal(difference(difference(A,B),B),difference(A,B)),
    inference(para,[status(thm),theory(equality)],[1,1]),
    [iquote('para(1,1)')] ).

cnf(9,plain,
    equal(difference(difference(A,B),difference(A,B)),difference(B,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),7]),1]),
    [iquote('para(1,2),demod([7]),flip(1)')] ).

cnf(13,plain,
    equal(difference(A,difference(difference(B,A),difference(C,A))),A),
    inference(para,[status(thm),theory(equality)],[3,1]),
    [iquote('para(3,1)')] ).

cnf(15,plain,
    equal(difference(difference(A,B),difference(difference(C,A),B)),difference(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,3]),1]),
    [iquote('para(1,3),flip(1)')] ).

cnf(17,plain,
    equal(difference(difference(A,B),difference(B,difference(C,difference(A,B)))),difference(A,B)),
    inference(para,[status(thm),theory(equality)],[1,13]),
    [iquote('para(1,13)')] ).

cnf(21,plain,
    equal(difference(difference(A,difference(A,B)),C),difference(difference(B,C),difference(difference(B,A),C))),
    inference(para,[status(thm),theory(equality)],[2,3]),
    [iquote('para(2,3)')] ).

cnf(22,plain,
    equal(difference(difference(A,B),difference(difference(A,C),B)),difference(difference(C,difference(C,A)),B)),
    inference(flip,[status(thm),theory(equality)],[21]),
    [iquote('flip(21)')] ).

cnf(23,plain,
    equal(difference(difference(difference(A,B),difference(C,B)),D),difference(difference(difference(A,C),D),difference(B,D))),
    inference(para,[status(thm),theory(equality)],[3,3]),
    [iquote('para(3,3)')] ).

cnf(24,plain,
    equal(difference(difference(difference(A,B),C),difference(D,C)),difference(difference(difference(A,D),difference(B,D)),C)),
    inference(flip,[status(thm),theory(equality)],[23]),
    [iquote('flip(23)')] ).

cnf(25,plain,
    equal(difference(difference(A,B),difference(C,A)),difference(A,difference(B,difference(C,A)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),1]),
    [iquote('para(1,4),flip(1)')] ).

cnf(27,plain,
    equal(difference(difference(A,difference(B,C)),C),difference(difference(A,C),difference(B,C))),
    inference(para,[status(thm),theory(equality)],[1,4]),
    [iquote('para(1,4)')] ).

cnf(29,plain,
    equal(difference(difference(difference(A,B),C),difference(B,C)),difference(difference(A,B),C)),
    inference(para,[status(thm),theory(equality)],[15,1]),
    [iquote('para(15,1)')] ).

cnf(30,plain,
    equal(difference(difference(A,difference(A,B)),difference(B,difference(B,A))),difference(B,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,9]),9]),
    [iquote('para(2,9),demod([9])')] ).

cnf(35,plain,
    equal(difference(difference(A,difference(B,C)),difference(C,difference(C,B))),difference(difference(A,B),difference(B,C))),
    inference(para,[status(thm),theory(equality)],[2,4]),
    [iquote('para(2,4)')] ).

cnf(36,plain,
    equal(difference(difference(A,A),difference(A,B)),difference(B,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[30]),35]),
    [iquote('back_demod(30),demod([35])')] ).

cnf(37,plain,
    equal(difference(A,A),difference(difference(B,B),difference(B,A))),
    inference(flip,[status(thm),theory(equality)],[36]),
    [iquote('flip(36)')] ).

cnf(38,plain,
    equal(difference(A,difference(difference(B,B),difference(B,A))),A),
    inference(para,[status(thm),theory(equality)],[37,1]),
    [iquote('para(37,1)')] ).

cnf(39,plain,
    equal(difference(difference(A,A),difference(A,B)),difference(difference(A,A),B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,1]),27,29]),1]),
    [iquote('para(38,1),demod([27,29]),flip(1)')] ).

cnf(40,plain,
    equal(difference(A,A),difference(difference(B,B),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[37]),39]),
    [iquote('back_demod(37),demod([39])')] ).

cnf(41,plain,
    equal(difference(difference(A,A),B),difference(B,B)),
    inference(flip,[status(thm),theory(equality)],[40]),
    [iquote('flip(40)')] ).

cnf(48,plain,
    equal(difference(difference(A,A),B),difference(difference(C,C),B)),
    inference(para,[status(thm),theory(equality)],[40,40]),
    [iquote('para(40,40)')] ).

cnf(53,plain,
    equal(difference(difference(A,A),difference(B,B)),difference(B,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[41,40]),39,7]),1]),
    [iquote('para(41,40),demod([39,7]),flip(1)')] ).

cnf(56,plain,
    equal(difference(difference(A,A),difference(B,difference(C,C))),difference(C,C)),
    inference(para,[status(thm),theory(equality)],[48,1]),
    [iquote('para(48,1)')] ).

cnf(62,plain,
    ~ equal(difference(difference(b,difference(b,a)),difference(difference(a,difference(a,b)),c)),difference(a,difference(a,difference(b,difference(b,c))))),
    inference(para,[status(thm),theory(equality)],[2,6]),
    [iquote('para(2,6)')] ).

cnf(66,plain,
    equal(difference(A,difference(A,difference(B,B))),difference(A,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[41,2]),53]),1]),
    [iquote('para(41,2),demod([53]),flip(1)')] ).

cnf(67,plain,
    equal(difference(A,difference(B,B)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,1]),25,53,1]),1]),
    [iquote('para(66,1),demod([25,53,1]),flip(1)')] ).

cnf(68,plain,
    equal(difference(difference(A,A),B),difference(C,C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[56]),67]),
    [iquote('back_demod(56),demod([67])')] ).

cnf(69,plain,
    equal(difference(A,A),difference(difference(B,B),C)),
    inference(flip,[status(thm),theory(equality)],[68]),
    [iquote('flip(68)')] ).

cnf(72,plain,
    equal(difference(A,difference(difference(B,B),C)),A),
    inference(para,[status(thm),theory(equality)],[69,1]),
    [iquote('para(69,1)')] ).

cnf(73,plain,
    equal(difference(difference(difference(A,A),B),C),difference(difference(A,A),B)),
    inference(para,[status(thm),theory(equality)],[72,1]),
    [iquote('para(72,1)')] ).

cnf(75,plain,
    equal(difference(difference(difference(A,B),C),B),difference(difference(A,B),difference(C,B))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,4]),1]),
    [iquote('para(7,4),flip(1)')] ).

cnf(90,plain,
    equal(difference(difference(A,B),difference(difference(C,A),difference(D,A))),difference(A,difference(B,difference(difference(C,A),difference(D,A))))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,4]),1]),
    [iquote('para(13,4),flip(1)')] ).

cnf(109,plain,
    equal(difference(difference(A,A),B),difference(difference(B,C),B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[40,4]),73]),
    [iquote('para(40,4),demod([73])')] ).

cnf(113,plain,
    equal(difference(difference(A,B),A),difference(A,A)),
    inference(para,[status(thm),theory(equality)],[109,7]),
    [iquote('para(109,7)')] ).

cnf(118,plain,
    equal(difference(difference(difference(A,B),C),difference(difference(D,A),B)),difference(difference(A,B),difference(C,difference(difference(D,A),B)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,4]),1]),
    [iquote('para(15,4),flip(1)')] ).

cnf(121,plain,
    equal(difference(A,difference(A,difference(A,B))),difference(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[113,2]),67]),1]),
    [iquote('para(113,2),demod([67]),flip(1)')] ).

cnf(135,plain,
    equal(difference(difference(A,difference(B,C)),B),difference(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[113,4]),67]),1]),
    [iquote('para(113,4),demod([67]),flip(1)')] ).

cnf(145,plain,
    equal(difference(difference(A,B),difference(A,difference(B,C))),difference(C,C)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[135,113]),9,9]),
    [iquote('para(135,113),demod([9,9])')] ).

cnf(152,plain,
    equal(difference(A,difference(A,difference(difference(B,A),C))),difference(C,C)),
    inference(para,[status(thm),theory(equality)],[1,145]),
    [iquote('para(1,145)')] ).

cnf(188,plain,
    equal(difference(difference(A,difference(B,C)),difference(A,B)),difference(B,difference(B,difference(A,difference(B,C))))),
    inference(para,[status(thm),theory(equality)],[135,2]),
    [iquote('para(135,2)')] ).

cnf(285,plain,
    equal(difference(difference(A,difference(A,B)),difference(A,difference(C,difference(B,A)))),difference(A,difference(A,difference(B,difference(A,difference(C,difference(B,A))))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,22]),188]),1]),
    [iquote('para(17,22),demod([188]),flip(1)')] ).

cnf(308,plain,
    equal(difference(difference(A,difference(B,difference(C,A))),D),difference(difference(difference(A,B),D),difference(difference(C,A),D))),
    inference(para,[status(thm),theory(equality)],[1,23]),
    [iquote('para(1,23)')] ).

cnf(309,plain,
    equal(difference(difference(difference(A,B),C),difference(difference(D,A),C)),difference(difference(A,difference(B,difference(D,A))),C)),
    inference(flip,[status(thm),theory(equality)],[308]),
    [iquote('flip(308)')] ).

cnf(355,plain,
    equal(difference(difference(A,difference(B,difference(difference(C,A),difference(D,A)))),E),difference(difference(difference(A,B),E),difference(difference(difference(C,A),difference(D,A)),E))),
    inference(para,[status(thm),theory(equality)],[13,23]),
    [iquote('para(13,23)')] ).

cnf(356,plain,
    equal(difference(difference(difference(A,B),C),difference(difference(difference(D,A),difference(E,A)),C)),difference(difference(A,difference(B,difference(difference(D,A),difference(E,A)))),C)),
    inference(flip,[status(thm),theory(equality)],[355]),
    [iquote('flip(355)')] ).

cnf(438,plain,
    equal(difference(difference(A,difference(B,C)),difference(B,difference(B,C))),difference(difference(A,B),difference(B,difference(B,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[121,4]),27]),
    [iquote('para(121,4),demod([27])')] ).

cnf(440,plain,
    equal(difference(difference(A,B),difference(difference(C,A),difference(A,difference(A,B)))),difference(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[121,15]),121]),
    [iquote('para(121,15),demod([121])')] ).

cnf(457,plain,
    equal(difference(difference(A,B),difference(difference(difference(difference(C,A),difference(D,A)),B),difference(E,difference(A,B)))),difference(A,B)),
    inference(para,[status(thm),theory(equality)],[24,13]),
    [iquote('para(24,13)')] ).

cnf(465,plain,
    equal(difference(difference(difference(A,B),difference(C,B)),difference(difference(D,A),C)),difference(difference(A,C),difference(B,difference(difference(D,A),C)))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,24]),1]),
    [iquote('para(15,24),flip(1)')] ).

cnf(466,plain,
    equal(difference(A,difference(difference(B,A),C)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[152,2]),67,113,67]),1]),
    [iquote('para(152,2),demod([67,113,67]),flip(1)')] ).

cnf(492,plain,
    equal(difference(difference(A,B),difference(C,B)),difference(difference(A,B),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[466,1]),75]),
    [iquote('para(466,1),demod([75])')] ).

cnf(513,plain,
    equal(difference(difference(difference(A,B),C),difference(D,A)),difference(difference(A,C),difference(B,difference(difference(D,A),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[465]),492,492]),
    [iquote('back_demod(465),demod([492,492])')] ).

cnf(514,plain,
    equal(difference(difference(A,B),difference(C,difference(difference(D,A),B))),difference(difference(difference(A,C),B),difference(D,A))),
    inference(flip,[status(thm),theory(equality)],[513]),
    [iquote('flip(513)')] ).

cnf(522,plain,
    equal(difference(difference(A,B),difference(difference(difference(difference(C,A),D),B),difference(E,difference(A,B)))),difference(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[457]),492]),
    [iquote('back_demod(457),demod([492])')] ).

cnf(531,plain,
    equal(difference(difference(A,B),difference(B,difference(B,C))),difference(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[438]),492,135]),1]),
    [iquote('back_demod(438),demod([492,135]),flip(1)')] ).

cnf(534,plain,
    equal(difference(A,difference(B,difference(C,A))),difference(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[440]),531,25]),
    [iquote('back_demod(440),demod([531,25])')] ).

cnf(535,plain,
    equal(difference(difference(A,B),difference(difference(C,A),D)),difference(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[522]),534,492]),
    [iquote('back_demod(522),demod([534,492])')] ).

cnf(536,plain,
    equal(difference(A,difference(B,difference(difference(C,A),D))),difference(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[90]),492,535,492]),1]),
    [iquote('back_demod(90),demod([492,535,492]),flip(1)')] ).

cnf(575,plain,
    equal(difference(difference(difference(A,B),C),difference(difference(D,A),E)),difference(difference(A,B),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[356]),492,492,492,536]),
    [iquote('back_demod(356),demod([492,492,492,536])')] ).

cnf(576,plain,
    equal(difference(difference(difference(A,B),C),difference(D,A)),difference(difference(A,B),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[309]),492,534]),
    [iquote('back_demod(309),demod([492,534])')] ).

cnf(577,plain,
    equal(difference(difference(A,B),difference(C,difference(difference(D,A),B))),difference(difference(A,C),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[514]),576]),
    [iquote('back_demod(514),demod([576])')] ).

cnf(578,plain,
    equal(difference(difference(A,B),C),difference(difference(A,C),difference(B,difference(difference(D,A),C)))),
    inference(flip,[status(thm),theory(equality)],[577]),
    [iquote('flip(577)')] ).

cnf(579,plain,
    equal(difference(difference(A,B),difference(C,difference(difference(D,A),B))),difference(difference(A,B),C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[118]),575]),1]),
    [iquote('back_demod(118),demod([575]),flip(1)')] ).

cnf(580,plain,
    equal(difference(difference(A,B),C),difference(difference(A,C),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[578]),579]),
    [iquote('back_demod(578),demod([579])')] ).

cnf(656,plain,
    equal(difference(difference(A,difference(A,B)),difference(A,C)),difference(A,difference(A,difference(B,difference(A,C))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[285]),534,534]),
    [iquote('back_demod(285),demod([534,534])')] ).

cnf(767,plain,
    equal(difference(difference(A,difference(B,C)),C),difference(difference(A,C),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[27]),492]),
    [iquote('back_demod(27),demod([492])')] ).

cnf(775,plain,
    equal(difference(difference(A,difference(B,difference(A,C))),C),difference(A,C)),
    inference(para,[status(thm),theory(equality)],[580,1]),
    [iquote('para(580,1)')] ).

cnf(845,plain,
    ~ equal(difference(difference(b,difference(b,a)),difference(difference(b,difference(b,a)),c)),difference(a,difference(a,difference(b,difference(b,c))))),
    inference(para,[status(thm),theory(equality)],[2,62]),
    [iquote('para(2,62)')] ).

cnf(848,plain,
    equal(difference(A,difference(difference(B,difference(C,A)),D)),difference(A,difference(B,D))),
    inference(para,[status(thm),theory(equality)],[580,534]),
    [iquote('para(580,534)')] ).

cnf(905,plain,
    equal(difference(difference(A,B),difference(difference(C,B),D)),difference(difference(A,B),difference(C,D))),
    inference(para,[status(thm),theory(equality)],[580,492]),
    [iquote('para(580,492)')] ).

cnf(908,plain,
    ~ equal(difference(b,difference(b,difference(a,difference(b,c)))),difference(a,difference(a,difference(b,difference(b,c))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[845]),905,656]),
    [iquote('back_demod(845),demod([905,656])')] ).

cnf(974,plain,
    equal(difference(A,difference(B,difference(C,difference(D,A)))),difference(A,difference(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[767,534]),848]),1]),
    [iquote('para(767,534),demod([848]),flip(1)')] ).

cnf(981,plain,
    equal(difference(difference(A,difference(A,B)),C),difference(B,difference(B,difference(A,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[775,2]),767,974]),
    [iquote('para(775,2),demod([767,974])')] ).

cnf(1007,plain,
    equal(difference(A,difference(A,difference(B,difference(B,C)))),difference(B,difference(B,difference(A,difference(B,C))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[656]),981]),
    [iquote('back_demod(656),demod([981])')] ).

cnf(1008,plain,
    equal(difference(A,difference(A,difference(B,difference(A,C)))),difference(B,difference(B,difference(A,difference(A,C))))),
    inference(flip,[status(thm),theory(equality)],[1007]),
    [iquote('flip(1007)')] ).

cnf(1009,plain,
    $false,
    inference(conflict,[status(thm)],[1008,908]),
    [iquote('conflict(1008,908)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : ALG005-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.10  % Command  : tptp2X_and_run_eqp %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Wed Jun  8 11:01:36 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.53/1.05  ----- EQP 0.9e, May 2009 -----
% 0.53/1.05  The job began on n032.cluster.edu, Wed Jun  8 11:01:37 2022
% 0.53/1.05  The command was "./eqp09e".
% 0.53/1.05  
% 0.53/1.05  set(prolog_style_variables).
% 0.53/1.05  set(lrpo).
% 0.53/1.05  set(basic_paramod).
% 0.53/1.05  set(functional_subsume).
% 0.53/1.05  set(ordered_paramod).
% 0.53/1.05  set(prime_paramod).
% 0.53/1.05  set(para_pairs).
% 0.53/1.05  assign(pick_given_ratio,4).
% 0.53/1.05  clear(print_kept).
% 0.53/1.05  clear(print_new_demod).
% 0.53/1.05  clear(print_back_demod).
% 0.53/1.05  clear(print_given).
% 0.53/1.05  assign(max_mem,64000).
% 0.53/1.05  end_of_commands.
% 0.53/1.05  
% 0.53/1.05  Usable:
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  Sos:
% 0.53/1.05  0 (wt=-1) [] difference(A,difference(B,A)) = A.
% 0.53/1.05  0 (wt=-1) [] difference(A,difference(A,B)) = difference(B,difference(B,A)).
% 0.53/1.05  0 (wt=-1) [] difference(difference(A,B),C) = difference(difference(A,C),difference(B,C)).
% 0.53/1.05  0 (wt=-1) [] multiply(A,B) = difference(A,difference(A,B)).
% 0.53/1.05  0 (wt=-1) [] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  Demodulators:
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  Passive:
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  Starting to process input.
% 0.53/1.05  
% 0.53/1.05  ** KEPT: 1 (wt=7) [] difference(A,difference(B,A)) = A.
% 0.53/1.05  1 is a new demodulator.
% 0.53/1.05  
% 0.53/1.05  ** KEPT: 2 (wt=11) [] difference(A,difference(A,B)) = difference(B,difference(B,A)).
% 0.53/1.05  clause forward subsumed: 0 (wt=11) [flip(2)] difference(B,difference(B,A)) = difference(A,difference(A,B)).
% 0.53/1.05  
% 0.53/1.05  ** KEPT: 3 (wt=13) [] difference(difference(A,B),C) = difference(difference(A,C),difference(B,C)).
% 0.53/1.05  
% 0.53/1.05  ** KEPT: 4 (wt=13) [flip(3)] difference(difference(A,B),difference(C,B)) = difference(difference(A,C),B).
% 0.53/1.05  clause forward subsumed: 0 (wt=13) [flip(4)] difference(difference(A,C),B) = difference(difference(A,B),difference(C,B)).
% 0.53/1.05  
% 0.53/1.05  ** KEPT: 5 (wt=9) [] multiply(A,B) = difference(A,difference(A,B)).
% 0.53/1.05  5 is a new demodulator.
% 0.53/1.05  
% 0.53/1.05  ** KEPT: 6 (wt=23) [demod([5,5,5,5])] -(difference(difference(a,difference(a,b)),difference(difference(a,difference(a,b)),c)) = difference(a,difference(a,difference(b,difference(b,c))))).
% 0.53/1.05  ---------------- PROOF FOUND ----------------
% 0.53/1.05  % SZS status Unsatisfiable
% 0.53/1.05  
% 0.53/1.05  
% 0.53/1.05  After processing input:
% 0.53/1.05  
% 0.53/1.05  Usable:
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  Sos:
% 0.53/1.05  1 (wt=7) [] difference(A,difference(B,A)) = A.
% 0.53/1.05  5 (wt=9) [] multiply(A,B) = difference(A,difference(A,B)).
% 0.53/1.05  2 (wt=11) [] difference(A,difference(A,B)) = difference(B,difference(B,A)).
% 0.53/1.05  3 (wt=13) [] difference(difference(A,B),C) = difference(difference(A,C),difference(B,C)).
% 0.53/1.05  4 (wt=13) [flip(3)] difference(difference(A,B),difference(C,B)) = difference(difference(A,C),B).
% 0.53/1.05  6 (wt=23) [demod([5,5,5,5])] -(difference(difference(a,difference(a,b)),difference(difference(a,difference(a,b)),c)) = difference(a,difference(a,difference(b,difference(b,c))))).
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  Demodulators:
% 0.53/1.05  1 (wt=7) [] difference(A,difference(B,A)) = A.
% 0.53/1.05  5 (wt=9) [] multiply(A,B) = difference(A,difference(A,B)).
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  Passive:
% 0.53/1.05  end_of_list.
% 0.53/1.05  
% 0.53/1.05  UNIT CONFLICT from 1008 and 908 at   0.08 seconds.
% 0.53/1.05  
% 0.53/1.05  ---------------- PROOF ----------------
% 0.53/1.05  % SZS output start Refutation
% See solution above
% 0.53/1.05  ------------ end of proof -------------
% 0.53/1.05  
% 0.53/1.05  
% 0.53/1.05  ------------- memory usage ------------
% 0.53/1.05  Memory dynamically allocated (tp_alloc): 1464.
% 0.53/1.05    type (bytes each)        gets      frees     in use      avail      bytes
% 0.53/1.05  sym_ent (  96)               56          0         56          0      5.2 K
% 0.53/1.05  term (  16)              135396     111990      23406         30    453.8 K
% 0.53/1.05  gen_ptr (   8)           138813      44250      94563         81    739.4 K
% 0.53/1.05  context ( 808)            67006      67004          2          7      7.1 K
% 0.53/1.05  trail (  12)              46382      46382          0          6      0.1 K
% 0.53/1.05  bt_node (  68)            18740      18737          3         12      1.0 K
% 0.53/1.05  ac_position (285432)          0          0          0          0      0.0 K
% 0.53/1.05  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.53/1.05  ac_match_free_vars_pos (4020)
% 0.53/1.05                                0          0          0          0      0.0 K
% 0.53/1.05  discrim (  12)            15551      12210       3341       5047     98.3 K
% 0.53/1.05  flat (  40)              286436     286436          0         49      1.9 K
% 0.53/1.05  discrim_pos (  12)         7121       7121          0          1      0.0 K
% 0.53/1.05  fpa_head (  12)             687          0        687          0      8.1 K
% 0.53/1.05  fpa_tree (  28)            2845       2845          0         41      1.1 K
% 0.53/1.05  fpa_pos (  36)             1473       1473          0          1      0.0 K
% 0.53/1.05  literal (  12)             6928       5920       1008          1     11.8 K
% 0.53/1.05  clause (  24)              6928       5920       1008          1     23.6 K
% 0.53/1.05  list (  12)                 524        467         57          8      0.8 K
% 0.53/1.05  list_pos (  20)            5143       3450       1693        161     36.2 K
% 0.53/1.05  pair_index (   40)              2          0          2          0      0.1 K
% 0.53/1.05  
% 0.53/1.05  -------------- statistics -------------
% 0.53/1.05  Clauses input                  5
% 0.53/1.05    Usable input                   0
% 0.53/1.05    Sos input                      5
% 0.53/1.05    Demodulators input             0
% 0.53/1.05    Passive input                  0
% 0.53/1.05  
% 0.53/1.05  Processed BS (before search)   8
% 0.53/1.05  Forward subsumed BS            2
% 0.53/1.05  Kept BS                        6
% 0.53/1.05  New demodulators BS            2
% 0.53/1.05  Back demodulated BS            0
% 0.53/1.05  
% 0.53/1.05  Clauses or pairs given      1501
% 0.53/1.05  Clauses generated           4351
% 0.53/1.05  Forward subsumed            3349
% 0.53/1.05  Deleted by weight              0
% 0.53/1.05  Deleted by variable count      0
% 0.53/1.05  Kept                        1002
% 0.53/1.05  New demodulators             463
% 0.53/1.05  Back demodulated             742
% 0.53/1.05  Ordered paramod prunes         0
% 0.53/1.05  Basic paramod prunes        2238
% 0.53/1.05  Prime paramod prunes         183
% 0.53/1.05  Semantic prunes                0
% 0.53/1.05  
% 0.53/1.05  Rewrite attmepts           44529
% 0.53/1.05  Rewrites                    5485
% 0.53/1.05  
% 0.53/1.05  FPA overloads                  0
% 0.53/1.05  FPA underloads                 0
% 0.53/1.05  
% 0.53/1.05  Usable size                    0
% 0.53/1.05  Sos size                     265
% 0.53/1.05  Demodulators size            144
% 0.53/1.05  Passive size                   0
% 0.53/1.05  Disabled size                742
% 0.53/1.05  
% 0.53/1.05  Proofs found                   1
% 0.53/1.05  
% 0.53/1.05  ----------- times (seconds) ----------- Wed Jun  8 11:01:37 2022
% 0.53/1.05  
% 0.53/1.05  user CPU time             0.08   (0 hr, 0 min, 0 sec)
% 0.53/1.05  system CPU time           0.07   (0 hr, 0 min, 0 sec)
% 0.53/1.05  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.53/1.05  input time                0.00
% 0.53/1.05  paramodulation time       0.01
% 0.53/1.05  demodulation time         0.01
% 0.53/1.05  orient time               0.01
% 0.53/1.05  weigh time                0.00
% 0.53/1.05  forward subsume time      0.00
% 0.53/1.05  back demod find time      0.00
% 0.53/1.05  conflict time             0.00
% 0.53/1.05  LRPO time                 0.01
% 0.53/1.05  store clause time         0.01
% 0.53/1.05  disable clause time       0.01
% 0.53/1.05  prime paramod time        0.01
% 0.53/1.05  semantics time            0.00
% 0.53/1.05  
% 0.53/1.05  EQP interrupted
%------------------------------------------------------------------------------