TSTP Solution File: GRP684-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n007.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 08:48:52 EDT 2022

% Result   : Unsatisfiable 0.72s 1.18s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    4
% Syntax   : Number of clauses     :  123 ( 123 unt;   0 nHn;   3 RR)
%            Number of literals    :  123 (   0 equ;   2 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  329 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(ld(A,mult(A,A)),A),
    file('GRP684-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(rd(mult(A,A),A),A),
    file('GRP684-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(mult(A,ld(A,B)),ld(A,mult(A,B))),
    file('GRP684-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(rd(mult(A,B),B),mult(rd(A,B),B)),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(5,plain,
    equal(mult(rd(A,A),A),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2]),4]),
    [iquote('back_demod(2),demod([4])')] ).

cnf(6,plain,
    equal(ld(ld(A,B),mult(ld(A,B),mult(C,D))),mult(ld(A,mult(A,C)),D)),
    file('GRP684-1.p',unknown),
    [] ).

cnf(7,plain,
    equal(mult(ld(A,mult(A,B)),C),ld(ld(A,D),mult(ld(A,D),mult(B,C)))),
    inference(flip,[status(thm),theory(equality)],[6]),
    [iquote('flip(6)')] ).

cnf(8,plain,
    equal(mult(rd(mult(A,B),rd(C,D)),rd(C,D)),mult(A,mult(rd(B,D),D))),
    inference(demod,[status(thm),theory(equality)],[4,4]),
    [iquote('demod([4,4])')] ).

cnf(9,plain,
    equal(mult(rd(rd(A,A),B),B),ld(A,mult(A,ld(B,B)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),1]),
    [iquote('demod([4]),flip(1)')] ).

cnf(10,plain,
    ~ equal(mult(rd(a,mult(b,c)),mult(b,c)),mult(rd(a,c),c)),
    inference(demod,[status(thm),theory(equality)],[4,4]),
    [iquote('demod([4,4])')] ).

cnf(12,plain,
    equal(rd(A,A),ld(A,A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,4]),9,3,1]),
    [iquote('para(5,4),demod([9,3,1])')] ).

cnf(13,plain,
    equal(mult(rd(ld(A,A),B),B),ld(A,mult(A,ld(B,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),12]),
    [iquote('back_demod(9),demod([12])')] ).

cnf(14,plain,
    equal(mult(ld(A,A),A),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5]),12]),
    [iquote('back_demod(5),demod([12])')] ).

cnf(15,plain,
    equal(rd(ld(A,mult(A,B)),ld(A,B)),mult(rd(A,ld(A,B)),ld(A,B))),
    inference(para,[status(thm),theory(equality)],[3,4]),
    [iquote('para(3,4)')] ).

cnf(16,plain,
    equal(mult(ld(A,mult(A,B)),C),ld(A,mult(A,mult(B,C)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,6]),1]),1]),
    [iquote('para(1,6),demod([1]),flip(1)')] ).

cnf(17,plain,
    equal(ld(ld(A,B),mult(ld(A,B),mult(C,D))),ld(A,mult(A,mult(C,D)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7]),16]),1]),
    [iquote('back_demod(7),demod([16]),flip(1)')] ).

cnf(19,plain,
    equal(mult(rd(ld(A,mult(A,B)),rd(C,D)),rd(C,D)),mult(A,mult(rd(ld(A,B),D),D))),
    inference(para,[status(thm),theory(equality)],[3,8]),
    [iquote('para(3,8)')] ).

cnf(22,plain,
    equal(mult(rd(mult(A,B),mult(rd(C,D),D)),mult(rd(C,D),D)),mult(A,mult(rd(B,D),D))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8]),4]),
    [iquote('para(4,8),demod([4])')] ).

cnf(23,plain,
    equal(mult(mult(rd(A,rd(B,C)),rd(B,C)),rd(B,C)),mult(A,mult(rd(rd(B,C),C),C))),
    inference(para,[status(thm),theory(equality)],[4,8]),
    [iquote('para(4,8)')] ).

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

cnf(26,plain,
    equal(ld(A,mult(A,mult(A,B))),mult(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,16]),1]),
    [iquote('para(1,16),flip(1)')] ).

cnf(35,plain,
    equal(mult(A,mult(rd(ld(A,ld(B,B)),C),C)),mult(rd(ld(A,A),B),mult(rd(B,C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,8]),19]),
    [iquote('para(13,8),demod([19])')] ).

cnf(36,plain,
    equal(mult(rd(ld(A,A),B),mult(rd(B,C),C)),mult(A,mult(rd(ld(A,ld(B,B)),C),C))),
    inference(flip,[status(thm),theory(equality)],[35]),
    [iquote('flip(35)')] ).

cnf(41,plain,
    equal(mult(rd(A,rd(B,C)),rd(B,C)),mult(ld(A,A),mult(rd(A,C),C))),
    inference(para,[status(thm),theory(equality)],[14,8]),
    [iquote('para(14,8)')] ).

cnf(42,plain,
    equal(mult(A,mult(rd(rd(B,C),C),C)),mult(mult(ld(A,A),mult(rd(A,C),C)),rd(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),41]),
    [iquote('back_demod(24),demod([41])')] ).

cnf(43,plain,
    equal(mult(mult(ld(A,A),mult(rd(A,B),B)),rd(C,B)),mult(A,mult(rd(rd(C,B),B),B))),
    inference(flip,[status(thm),theory(equality)],[42]),
    [iquote('flip(42)')] ).

cnf(45,plain,
    equal(mult(ld(ld(A,mult(A,B)),ld(A,mult(A,B))),mult(rd(ld(A,mult(A,B)),C),C)),mult(A,mult(rd(ld(A,B),C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[19]),41]),
    [iquote('back_demod(19),demod([41])')] ).

cnf(49,plain,
    equal(mult(rd(A,ld(A,A)),ld(A,A)),rd(A,ld(A,A))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,15]),1]),
    [iquote('para(1,15),flip(1)')] ).

cnf(55,plain,
    equal(ld(ld(A,B),mult(ld(A,B),C)),ld(A,mult(A,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,17]),14]),
    [iquote('para(14,17),demod([14])')] ).

cnf(56,plain,
    equal(ld(A,ld(A,mult(A,B))),ld(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[55,1]),3]),
    [iquote('para(55,1),demod([3])')] ).

cnf(70,plain,
    equal(mult(rd(rd(mult(A,B),mult(rd(C,D),D)),mult(rd(C,D),D)),mult(rd(C,D),D)),rd(mult(A,mult(rd(B,D),D)),mult(rd(C,D),D))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,4]),1]),
    [iquote('para(22,4),flip(1)')] ).

cnf(71,plain,
    equal(mult(rd(mult(A,B),mult(mult(rd(C,D),D),D)),mult(mult(rd(C,D),D),D)),mult(A,mult(rd(B,D),D))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,22]),4]),
    [iquote('para(4,22),demod([4])')] ).

cnf(74,plain,
    equal(ld(mult(A,B),mult(mult(A,B),C)),ld(A,mult(A,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,55]),26]),
    [iquote('para(26,55),demod([26])')] ).

cnf(75,plain,
    equal(mult(rd(mult(A,B),C),C),mult(A,mult(rd(B,C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,22]),14,12,14]),
    [iquote('para(12,22),demod([14,12,14])')] ).

cnf(76,plain,
    equal(mult(A,mult(rd(B,mult(mult(rd(C,D),D),D)),mult(mult(rd(C,D),D),D))),mult(A,mult(rd(B,D),D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[71]),75]),
    [iquote('back_demod(71),demod([75])')] ).

cnf(82,plain,
    equal(mult(ld(A,A),mult(rd(A,B),B)),mult(rd(A,B),B)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,75]),1]),
    [iquote('para(14,75),flip(1)')] ).

cnf(83,plain,
    equal(mult(rd(ld(A,mult(A,B)),C),C),mult(A,mult(rd(ld(A,B),C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[45]),82]),
    [iquote('back_demod(45),demod([82])')] ).

cnf(87,plain,
    equal(mult(mult(rd(A,B),B),rd(C,B)),mult(A,mult(rd(rd(C,B),B),B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[43]),82]),
    [iquote('back_demod(43),demod([82])')] ).

cnf(88,plain,
    equal(mult(A,mult(rd(rd(B,C),C),C)),mult(mult(rd(A,C),C),rd(B,C))),
    inference(flip,[status(thm),theory(equality)],[87]),
    [iquote('flip(87)')] ).

cnf(89,plain,
    equal(mult(rd(A,rd(B,C)),rd(B,C)),mult(rd(A,C),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[41]),82]),
    [iquote('back_demod(41),demod([82])')] ).

cnf(91,plain,
    equal(mult(rd(A,ld(B,B)),ld(B,B)),mult(rd(A,B),B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,89]),12]),
    [iquote('para(12,89),demod([12])')] ).

cnf(93,plain,
    equal(rd(A,ld(A,A)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[49]),91,12,14]),1]),
    [iquote('back_demod(49),demod([91,12,14]),flip(1)')] ).

cnf(95,plain,
    equal(mult(rd(rd(A,B),B),B),rd(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,89]),14]),1]),
    [iquote('para(12,89),demod([14]),flip(1)')] ).

cnf(96,plain,
    equal(mult(mult(rd(A,B),B),rd(C,B)),mult(A,rd(C,B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[88]),95]),1]),
    [iquote('back_demod(88),demod([95]),flip(1)')] ).

cnf(98,plain,
    equal(rd(mult(A,mult(rd(B,C),C)),mult(rd(D,C),C)),rd(mult(A,B),mult(rd(D,C),C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[70]),95]),1]),
    [iquote('back_demod(70),demod([95]),flip(1)')] ).

cnf(107,plain,
    equal(mult(mult(rd(A,B),B),ld(B,B)),mult(A,ld(B,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,96]),12]),
    [iquote('para(12,96),demod([12])')] ).

cnf(108,plain,
    equal(mult(mult(rd(A,B),B),B),mult(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,96]),91,93]),
    [iquote('para(93,96),demod([91,93])')] ).

cnf(109,plain,
    equal(mult(A,mult(rd(B,mult(C,D)),mult(C,D))),mult(A,mult(rd(B,D),D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[76]),108,108]),
    [iquote('back_demod(76),demod([108,108])')] ).

cnf(129,plain,
    equal(ld(ld(A,B),ld(A,mult(A,C))),ld(ld(A,B),C)),
    inference(para,[status(thm),theory(equality)],[55,56]),
    [iquote('para(55,56)')] ).

cnf(153,plain,
    equal(ld(ld(A,mult(A,B)),mult(B,C)),ld(A,mult(A,C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,74]),3,16,129]),
    [iquote('para(3,74),demod([3,16,129])')] ).

cnf(154,plain,
    equal(ld(A,mult(A,B)),ld(ld(A,mult(A,C)),mult(C,B))),
    inference(flip,[status(thm),theory(equality)],[153]),
    [iquote('flip(153)')] ).

cnf(170,plain,
    equal(mult(A,mult(rd(ld(A,ld(mult(B,C),mult(B,C))),C),C)),ld(A,mult(A,ld(mult(B,C),mult(B,C))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,36]),108,13]),1]),
    [iquote('para(4,36),demod([108,13]),flip(1)')] ).

cnf(187,plain,
    equal(mult(rd(rd(A,B),C),C),mult(rd(rd(A,B),B),mult(rd(B,C),C))),
    inference(para,[status(thm),theory(equality)],[95,75]),
    [iquote('para(95,75)')] ).

cnf(189,plain,
    equal(ld(A,mult(A,ld(mult(rd(A,B),B),mult(rd(A,B),B)))),ld(mult(rd(A,B),B),mult(rd(A,B),B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[82,4]),12,13]),1]),
    [iquote('para(82,4),demod([12,13]),flip(1)')] ).

cnf(191,plain,
    equal(mult(rd(rd(A,rd(B,C)),C),C),rd(mult(rd(A,C),C),rd(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,4]),89]),1]),
    [iquote('para(89,4),demod([89]),flip(1)')] ).

cnf(192,plain,
    equal(mult(rd(A,mult(rd(B,C),C)),mult(rd(B,C),C)),mult(rd(A,C),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,89]),4]),
    [iquote('para(4,89),demod([4])')] ).

cnf(201,plain,
    equal(rd(mult(rd(A,B),B),rd(C,B)),rd(A,rd(C,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,95]),191]),
    [iquote('para(89,95),demod([191])')] ).

cnf(202,plain,
    equal(mult(rd(rd(A,rd(B,C)),C),C),rd(A,rd(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[191]),201]),
    [iquote('back_demod(191),demod([201])')] ).

cnf(205,plain,
    equal(mult(rd(rd(A,ld(B,B)),B),B),rd(A,ld(B,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,202]),12]),
    [iquote('para(12,202),demod([12])')] ).

cnf(206,plain,
    equal(ld(rd(A,B),mult(rd(A,B),ld(B,B))),ld(rd(A,B),rd(A,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,202]),13,12]),
    [iquote('para(12,202),demod([13,12])')] ).

cnf(225,plain,
    equal(mult(ld(A,A),B),ld(A,mult(A,B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,108]),16,14]),1]),
    [iquote('para(13,108),demod([16,14]),flip(1)')] ).

cnf(239,plain,
    equal(ld(A,mult(A,B)),ld(ld(A,A),B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[225,26]),225,3,26,129,225]),1]),
    [iquote('para(225,26),demod([225,3,26,129,225]),flip(1)')] ).

cnf(252,plain,
    equal(mult(ld(A,A),B),ld(ld(A,A),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[225]),239]),
    [iquote('back_demod(225),demod([239])')] ).

cnf(259,plain,
    equal(ld(ld(rd(A,B),rd(A,B)),ld(B,B)),ld(rd(A,B),rd(A,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[206]),239]),
    [iquote('back_demod(206),demod([239])')] ).

cnf(267,plain,
    equal(ld(ld(A,A),ld(mult(rd(A,B),B),mult(rd(A,B),B))),ld(mult(rd(A,B),B),mult(rd(A,B),B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[189]),239]),
    [iquote('back_demod(189),demod([239])')] ).

cnf(277,plain,
    equal(mult(A,mult(rd(ld(A,ld(mult(B,C),mult(B,C))),C),C)),ld(ld(A,A),ld(mult(B,C),mult(B,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[170]),239]),
    [iquote('back_demod(170),demod([239])')] ).

cnf(288,plain,
    equal(ld(ld(ld(A,A),B),mult(B,C)),ld(ld(A,A),C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[154]),239,239]),1]),
    [iquote('back_demod(154),demod([239,239]),flip(1)')] ).

cnf(311,plain,
    equal(mult(rd(ld(ld(A,A),B),C),C),mult(A,mult(rd(ld(A,B),C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[83]),239]),
    [iquote('back_demod(83),demod([239])')] ).

cnf(312,plain,
    equal(ld(ld(mult(A,B),mult(A,B)),C),ld(ld(A,A),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[74]),239,239]),
    [iquote('back_demod(74),demod([239,239])')] ).

cnf(316,plain,
    equal(ld(A,ld(ld(A,A),B)),ld(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[56]),239]),
    [iquote('back_demod(56),demod([239])')] ).

cnf(319,plain,
    equal(ld(ld(A,A),mult(A,B)),mult(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[26]),239]),
    [iquote('back_demod(26),demod([239])')] ).

cnf(321,plain,
    equal(mult(rd(ld(A,A),B),B),ld(ld(A,A),ld(B,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),239]),
    [iquote('back_demod(13),demod([239])')] ).

cnf(322,plain,
    equal(mult(A,ld(A,B)),ld(ld(A,A),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),239]),
    [iquote('back_demod(3),demod([239])')] ).

cnf(335,plain,
    equal(mult(rd(mult(A,B),C),mult(rd(C,D),D)),mult(A,mult(rd(B,C),mult(rd(C,D),D)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[75,75]),75,75]),1]),
    [iquote('para(75,75),demod([75,75]),flip(1)')] ).

cnf(337,plain,
    equal(ld(ld(A,A),ld(A,B)),ld(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[322,239]),316]),1]),
    [iquote('para(322,239),demod([316]),flip(1)')] ).

cnf(340,plain,
    equal(mult(A,ld(ld(A,A),B)),mult(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[239,322]),319]),
    [iquote('para(239,322),demod([319])')] ).

cnf(343,plain,
    equal(mult(rd(A,B),mult(rd(B,C),C)),mult(rd(A,ld(B,B)),ld(ld(B,B),ld(C,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[91,75]),75,321]),
    [iquote('para(91,75),demod([75,321])')] ).

cnf(344,plain,
    equal(mult(rd(A,ld(B,B)),ld(ld(B,B),ld(C,C))),mult(rd(A,B),mult(rd(B,C),C))),
    inference(flip,[status(thm),theory(equality)],[343]),
    [iquote('flip(343)')] ).

cnf(345,plain,
    equal(mult(A,mult(rd(ld(A,ld(rd(B,C),rd(B,C))),C),C)),ld(ld(A,A),ld(C,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[95,36]),89,321]),1]),
    [iquote('para(95,36),demod([89,321]),flip(1)')] ).

cnf(350,plain,
    equal(mult(mult(A,mult(rd(B,C),C)),C),mult(mult(A,B),C)),
    inference(para,[status(thm),theory(equality)],[75,108]),
    [iquote('para(75,108)')] ).

cnf(352,plain,
    equal(rd(mult(A,B),mult(rd(B,C),C)),mult(rd(A,C),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[98,4]),192]),
    [iquote('para(98,4),demod([192])')] ).

cnf(358,plain,
    equal(ld(mult(rd(A,B),B),mult(A,ld(B,B))),ld(rd(A,B),rd(A,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[107,239]),312,259]),
    [iquote('para(107,239),demod([312,259])')] ).

cnf(369,plain,
    equal(mult(A,mult(rd(ld(A,B),C),C)),ld(ld(A,A),mult(rd(B,C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[252,75]),311,252]),
    [iquote('para(252,75),demod([311,252])')] ).

cnf(371,plain,
    equal(ld(ld(A,A),ld(rd(B,C),rd(B,C))),ld(ld(A,A),ld(C,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[345]),369,321,259]),
    [iquote('back_demod(345),demod([369,321,259])')] ).

cnf(379,plain,
    equal(ld(ld(A,A),ld(mult(B,C),mult(B,C))),ld(ld(A,A),ld(ld(B,B),ld(C,C)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[277]),369,321,312]),1]),
    [iquote('back_demod(277),demod([369,321,312]),flip(1)')] ).

cnf(380,plain,
    equal(ld(mult(rd(A,B),B),mult(rd(A,B),B)),ld(ld(A,A),ld(B,B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[267]),379,259,371]),1]),
    [iquote('back_demod(267),demod([379,259,371]),flip(1)')] ).

cnf(417,plain,
    equal(mult(mult(rd(A,B),B),ld(ld(B,B),ld(C,C))),mult(A,ld(ld(B,B),ld(C,C)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[107,75]),75,321,321]),1]),
    [iquote('para(107,75),demod([75,321,321]),flip(1)')] ).

cnf(419,plain,
    equal(mult(mult(rd(A,B),B),ld(rd(C,B),rd(C,B))),mult(A,ld(rd(C,B),rd(C,B)))),
    inference(para,[status(thm),theory(equality)],[89,107]),
    [iquote('para(89,107)')] ).

cnf(421,plain,
    equal(rd(mult(A,mult(rd(B,C),C)),mult(rd(B,mult(D,C)),mult(D,C))),mult(rd(A,mult(rd(B,mult(D,C)),mult(D,C))),mult(rd(B,C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[109,4]),109]),
    [iquote('para(109,4),demod([109])')] ).

cnf(432,plain,
    equal(rd(mult(A,mult(rd(B,C),C)),mult(rd(D,mult(E,C)),mult(E,C))),rd(mult(A,B),mult(rd(D,mult(E,C)),mult(E,C)))),
    inference(para,[status(thm),theory(equality)],[109,98]),
    [iquote('para(109,98)')] ).

cnf(433,plain,
    equal(mult(rd(A,mult(rd(B,mult(C,D)),mult(C,D))),mult(rd(B,D),D)),mult(rd(A,mult(C,D)),mult(C,D))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[421]),432,352]),1]),
    [iquote('back_demod(421),demod([432,352]),flip(1)')] ).

cnf(439,plain,
    equal(ld(ld(ld(A,A),ld(B,B)),ld(ld(B,B),C)),ld(ld(A,A),C)),
    inference(para,[status(thm),theory(equality)],[252,288]),
    [iquote('para(252,288)')] ).

cnf(451,plain,
    equal(ld(ld(ld(A,A),ld(B,B)),C),ld(ld(A,A),C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[108,312]),108,312,380]),1]),
    [iquote('para(108,312),demod([108,312,380]),flip(1)')] ).

cnf(452,plain,
    equal(ld(ld(A,A),ld(ld(B,B),C)),ld(ld(A,A),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[439]),451]),
    [iquote('back_demod(439),demod([451])')] ).

cnf(496,plain,
    equal(mult(rd(A,B),B),mult(A,ld(B,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,187]),93,93,321,340]),
    [iquote('para(93,187),demod([93,93,321,340])')] ).

cnf(524,plain,
    equal(mult(rd(A,mult(B,ld(mult(C,D),mult(C,D)))),mult(B,ld(D,D))),mult(A,ld(mult(C,D),mult(C,D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[433]),496,496,496]),
    [iquote('back_demod(433),demod([496,496,496])')] ).

cnf(528,plain,
    equal(mult(mult(A,ld(B,B)),ld(rd(C,B),rd(C,B))),mult(A,ld(rd(C,B),rd(C,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[419]),496]),
    [iquote('back_demod(419),demod([496])')] ).

cnf(530,plain,
    equal(mult(mult(A,ld(B,B)),ld(ld(B,B),ld(C,C))),mult(A,ld(ld(B,B),ld(C,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[417]),496]),
    [iquote('back_demod(417),demod([496])')] ).

cnf(542,plain,
    equal(ld(mult(A,ld(B,B)),mult(A,ld(B,B))),ld(ld(A,A),ld(B,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[380]),496,496]),
    [iquote('back_demod(380),demod([496,496])')] ).

cnf(550,plain,
    equal(ld(rd(A,B),rd(A,B)),ld(ld(A,A),ld(B,B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[358]),496,542]),1]),
    [iquote('back_demod(358),demod([496,542]),flip(1)')] ).

cnf(551,plain,
    equal(mult(mult(A,ld(B,B)),ld(ld(C,C),ld(B,B))),mult(A,ld(ld(C,C),ld(B,B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[528]),550,550]),
    [iquote('back_demod(528),demod([550,550])')] ).

cnf(563,plain,
    equal(rd(mult(A,B),mult(B,ld(C,C))),mult(A,ld(C,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[352]),496,496]),
    [iquote('back_demod(352),demod([496,496])')] ).

cnf(565,plain,
    equal(mult(mult(A,mult(B,ld(C,C))),C),mult(mult(A,B),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[350]),496]),
    [iquote('back_demod(350),demod([496])')] ).

cnf(570,plain,
    equal(mult(rd(A,ld(B,B)),ld(ld(B,B),ld(C,C))),mult(rd(A,B),mult(B,ld(C,C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[344]),496]),
    [iquote('back_demod(344),demod([496])')] ).

cnf(572,plain,
    equal(mult(rd(mult(A,B),C),mult(C,ld(D,D))),mult(A,mult(rd(B,C),mult(C,ld(D,D))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[335]),496,496]),
    [iquote('back_demod(335),demod([496,496])')] ).

cnf(580,plain,
    equal(rd(A,ld(B,B)),mult(A,ld(B,B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[205]),496,496,337]),1]),
    [iquote('back_demod(205),demod([496,496,337]),flip(1)')] ).

cnf(581,plain,
    equal(mult(rd(A,B),mult(B,ld(C,C))),mult(A,ld(ld(B,B),ld(C,C)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[570]),580,530]),1]),
    [iquote('back_demod(570),demod([580,530]),flip(1)')] ).

cnf(585,plain,
    equal(mult(mult(A,B),ld(ld(C,C),ld(D,D))),mult(A,mult(B,ld(ld(C,C),ld(D,D))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[572]),581,581]),
    [iquote('back_demod(572),demod([581,581])')] ).

cnf(586,plain,
    equal(mult(A,ld(ld(B,B),ld(C,C))),mult(A,ld(C,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[551]),585,252,452,337]),1]),
    [iquote('back_demod(551),demod([585,252,452,337]),flip(1)')] ).

cnf(590,plain,
    equal(mult(rd(A,B),mult(B,ld(C,C))),mult(A,ld(C,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[581]),586]),
    [iquote('back_demod(581),demod([586])')] ).

cnf(603,plain,
    equal(mult(mult(A,ld(B,B)),B),mult(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[108]),496]),
    [iquote('back_demod(108),demod([496])')] ).

cnf(605,plain,
    equal(mult(rd(A,B),ld(B,B)),rd(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[95]),496]),
    [iquote('back_demod(95),demod([496])')] ).

cnf(607,plain,
    ~ equal(mult(a,ld(mult(b,c),mult(b,c))),mult(a,ld(c,c))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),496,496]),
    [iquote('back_demod(10),demod([496,496])')] ).

cnf(608,plain,
    equal(rd(mult(A,B),B),mult(A,ld(B,B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),496]),
    [iquote('back_demod(4),demod([496])')] ).

cnf(610,plain,
    equal(rd(mult(A,ld(B,B)),B),rd(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[496,608]),605]),
    [iquote('para(496,608),demod([605])')] ).

cnf(639,plain,
    equal(ld(A,ld(ld(B,B),C)),ld(A,C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[452,316]),316]),1]),
    [iquote('para(452,316),demod([316]),flip(1)')] ).

cnf(660,plain,
    equal(mult(A,ld(ld(B,B),C)),mult(A,C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[639,340]),340]),1]),
    [iquote('para(639,340),demod([340]),flip(1)')] ).

cnf(673,plain,
    equal(rd(mult(A,ld(B,B)),mult(B,ld(C,C))),mult(rd(A,B),ld(C,C))),
    inference(para,[status(thm),theory(equality)],[496,563]),
    [iquote('para(496,563)')] ).

cnf(675,plain,
    equal(mult(mult(A,ld(B,B)),C),mult(A,C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[252,565]),660,603]),1]),
    [iquote('para(252,565),demod([660,603]),flip(1)')] ).

cnf(680,plain,
    equal(rd(mult(A,ld(B,B)),C),rd(A,C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[675,610]),610]),1]),
    [iquote('para(675,610),demod([610]),flip(1)')] ).

cnf(681,plain,
    equal(rd(A,mult(B,ld(C,C))),mult(rd(A,B),ld(C,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[673]),680]),
    [iquote('back_demod(673),demod([680])')] ).

cnf(688,plain,
    equal(mult(A,ld(mult(B,C),mult(B,C))),mult(A,ld(C,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[524]),681,675,590]),1]),
    [iquote('back_demod(524),demod([681,675,590]),flip(1)')] ).

cnf(689,plain,
    $false,
    inference(conflict,[status(thm)],[688,607]),
    [iquote('conflict(688,607)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 11:54:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.72/1.18  ----- EQP 0.9e, May 2009 -----
% 0.72/1.18  The job began on n007.cluster.edu, Mon Jun 13 11:54:09 2022
% 0.72/1.18  The command was "./eqp09e".
% 0.72/1.18  
% 0.72/1.18  set(prolog_style_variables).
% 0.72/1.18  set(lrpo).
% 0.72/1.18  set(basic_paramod).
% 0.72/1.18  set(functional_subsume).
% 0.72/1.18  set(ordered_paramod).
% 0.72/1.18  set(prime_paramod).
% 0.72/1.18  set(para_pairs).
% 0.72/1.18  assign(pick_given_ratio,4).
% 0.72/1.18  clear(print_kept).
% 0.72/1.18  clear(print_new_demod).
% 0.72/1.18  clear(print_back_demod).
% 0.72/1.18  clear(print_given).
% 0.72/1.18  assign(max_mem,64000).
% 0.72/1.18  end_of_commands.
% 0.72/1.18  
% 0.72/1.18  Usable:
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  Sos:
% 0.72/1.18  0 (wt=-1) [] ld(A,mult(A,A)) = A.
% 0.72/1.18  0 (wt=-1) [] rd(mult(A,A),A) = A.
% 0.72/1.18  0 (wt=-1) [] mult(A,ld(A,B)) = ld(A,mult(A,B)).
% 0.72/1.18  0 (wt=-1) [] mult(rd(A,B),B) = rd(mult(A,B),B).
% 0.72/1.18  0 (wt=-1) [] ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D).
% 0.72/1.18  0 (wt=-1) [] rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)).
% 0.72/1.18  0 (wt=-1) [] ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B).
% 0.72/1.18  0 (wt=-1) [] -(rd(mult(a,mult(b,c)),mult(b,c)) = rd(mult(a,c),c)).
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  Demodulators:
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  Passive:
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  Starting to process input.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 1 (wt=7) [] ld(A,mult(A,A)) = A.
% 0.72/1.18  1 is a new demodulator.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 2 (wt=7) [] rd(mult(A,A),A) = A.
% 0.72/1.18  2 is a new demodulator.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 3 (wt=11) [] mult(A,ld(A,B)) = ld(A,mult(A,B)).
% 0.72/1.18  3 is a new demodulator.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 4 (wt=11) [flip(1)] rd(mult(A,B),B) = mult(rd(A,B),B).
% 0.72/1.18  4 is a new demodulator.
% 0.72/1.18      -> 4 back demodulating 2.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 5 (wt=7) [back_demod(2),demod([4])] mult(rd(A,A),A) = A.
% 0.72/1.18  5 is a new demodulator.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 6 (wt=19) [] ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D).
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 7 (wt=19) [flip(6)] mult(ld(A,mult(A,B)),C) = ld(ld(A,D),mult(ld(A,D),mult(B,C))).
% 0.72/1.18  clause forward subsumed: 0 (wt=19) [flip(7)] ld(ld(A,D),mult(ld(A,D),mult(B,C))) = mult(ld(A,mult(A,B)),C).
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 8 (wt=19) [demod([4,4])] mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)).
% 0.72/1.18  8 is a new demodulator.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 9 (wt=15) [demod([4]),flip(1)] mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))).
% 0.72/1.18  9 is a new demodulator.
% 0.72/1.18  
% 0.72/1.18  ** KEPT: 10 (wt=15) [demod([4,4])] -(mult(rd(a,mult(b,c)),mult(b,c)) = mult(rd(a,c),c)).
% 0.72/1.18  ---------------- PROOF FOUND ----------------
% 0.72/1.18  % SZS status Unsatisfiable
% 0.72/1.18  
% 0.72/1.18  
% 0.72/1.18  After processing input:
% 0.72/1.18  
% 0.72/1.18  Usable:
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  Sos:
% 0.72/1.18  1 (wt=7) [] ld(A,mult(A,A)) = A.
% 0.72/1.18  5 (wt=7) [back_demod(2),demod([4])] mult(rd(A,A),A) = A.
% 0.72/1.18  3 (wt=11) [] mult(A,ld(A,B)) = ld(A,mult(A,B)).
% 0.72/1.18  4 (wt=11) [flip(1)] rd(mult(A,B),B) = mult(rd(A,B),B).
% 0.72/1.18  9 (wt=15) [demod([4]),flip(1)] mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))).
% 0.72/1.18  10 (wt=15) [demod([4,4])] -(mult(rd(a,mult(b,c)),mult(b,c)) = mult(rd(a,c),c)).
% 0.72/1.18  6 (wt=19) [] ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D).
% 0.72/1.18  7 (wt=19) [flip(6)] mult(ld(A,mult(A,B)),C) = ld(ld(A,D),mult(ld(A,D),mult(B,C))).
% 0.72/1.18  8 (wt=19) [demod([4,4])] mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)).
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  Demodulators:
% 0.72/1.18  1 (wt=7) [] ld(A,mult(A,A)) = A.
% 0.72/1.18  3 (wt=11) [] mult(A,ld(A,B)) = ld(A,mult(A,B)).
% 0.72/1.18  4 (wt=11) [flip(1)] rd(mult(A,B),B) = mult(rd(A,B),B).
% 0.72/1.18  5 (wt=7) [back_demod(2),demod([4])] mult(rd(A,A),A) = A.
% 0.72/1.18  8 (wt=19) [demod([4,4])] mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)).
% 0.72/1.18  9 (wt=15) [demod([4]),flip(1)] mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))).
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  Passive:
% 0.72/1.18  end_of_list.
% 0.72/1.18  
% 0.72/1.18  UNIT CONFLICT from 688 and 607 at   0.06 seconds.
% 0.72/1.18  
% 0.72/1.18  ---------------- PROOF ----------------
% 0.72/1.18  % SZS output start Refutation
% See solution above
% 0.72/1.18  ------------ end of proof -------------
% 0.72/1.18  
% 0.72/1.18  
% 0.72/1.18  ------------- memory usage ------------
% 0.72/1.18  Memory dynamically allocated (tp_alloc): 1464.
% 0.72/1.18    type (bytes each)        gets      frees     in use      avail      bytes
% 0.72/1.18  sym_ent (  96)               58          0         58          0      5.4 K
% 0.72/1.18  term (  16)               82066      65082      16984         36    329.7 K
% 0.72/1.18  gen_ptr (   8)           101758      30705      71053        122    556.1 K
% 0.72/1.18  context ( 808)            48309      48307          2          6      6.3 K
% 0.72/1.18  trail (  12)               5432       5432          0          6      0.1 K
% 0.72/1.18  bt_node (  68)            14807      14804          3         16      1.3 K
% 0.72/1.18  ac_position (285432)          0          0          0          0      0.0 K
% 0.72/1.18  ac_match_pos (14044)          0          0          0          0      0.0 K
% 0.72/1.18  ac_match_free_vars_pos (4020)
% 0.72/1.18                                0          0          0          0      0.0 K
% 0.72/1.18  discrim (  12)            16738      14338       2400       1783     49.0 K
% 0.72/1.18  flat (  40)              160955     160955          0         43      1.7 K
% 0.72/1.18  discrim_pos (  12)         4027       4027          0          1      0.0 K
% 0.72/1.18  fpa_head (  12)            5238          0       5238          0     61.4 K
% 0.72/1.18  fpa_tree (  28)            2368       2368          0         23      0.6 K
% 0.72/1.18  fpa_pos (  36)             1262       1262          0          1      0.0 K
% 0.72/1.18  literal (  12)             2833       2145        688          1      8.1 K
% 0.72/1.18  clause (  24)              2833       2145        688          1     16.1 K
% 0.72/1.18  list (  12)                 633        575         58          5      0.7 K
% 0.72/1.18  list_pos (  20)            3837       2805       1032        112     22.3 K
% 0.72/1.18  pair_index (   40)              2          0          2          0      0.1 K
% 0.72/1.18  
% 0.72/1.18  -------------- statistics -------------
% 0.72/1.18  Clauses input                  8
% 0.72/1.18    Usable input                   0
% 0.72/1.18    Sos input                      8
% 0.72/1.18    Demodulators input             0
% 0.72/1.18    Passive input                  0
% 0.72/1.18  
% 0.72/1.18  Processed BS (before search)  11
% 0.72/1.18  Forward subsumed BS            1
% 0.72/1.18  Kept BS                       10
% 0.72/1.18  New demodulators BS            7
% 0.72/1.18  Back demodulated BS            1
% 0.72/1.18  
% 0.72/1.18  Clauses or pairs given      1567
% 0.72/1.18  Clauses generated           1782
% 0.72/1.18  Forward subsumed            1104
% 0.72/1.18  Deleted by weight              0
% 0.72/1.18  Deleted by variable count      0
% 0.72/1.18  Kept                         678
% 0.72/1.18  New demodulators             567
% 0.72/1.18  Back demodulated             570
% 0.72/1.18  Ordered paramod prunes         0
% 0.72/1.18  Basic paramod prunes        1444
% 0.72/1.18  Prime paramod prunes         105
% 0.72/1.18  Semantic prunes                0
% 0.72/1.18  
% 0.72/1.18  Rewrite attmepts           28045
% 0.72/1.18  Rewrites                    3827
% 0.72/1.18  
% 0.72/1.18  FPA overloads                  0
% 0.72/1.18  FPA underloads                 0
% 0.72/1.18  
% 0.72/1.18  Usable size                    0
% 0.72/1.18  Sos size                     116
% 0.72/1.18  Demodulators size            104
% 0.72/1.18  Passive size                   0
% 0.72/1.18  Disabled size                571
% 0.72/1.18  
% 0.72/1.18  Proofs found                   1
% 0.72/1.18  
% 0.72/1.18  ----------- times (seconds) ----------- Mon Jun 13 11:54:09 2022
% 0.72/1.18  
% 0.72/1.18  user CPU time             0.06   (0 hr, 0 min, 0 sec)
% 0.72/1.18  system CPU time           0.05   (0 hr, 0 min, 0 sec)
% 0.72/1.18  wall-clock time           0      (0 hr, 0 min, 0 sec)
% 0.72/1.18  input time                0.00
% 0.72/1.18  paramodulation time       0.01
% 0.72/1.18  demodulation time         0.00
% 0.72/1.18  orient time               0.01
% 0.72/1.18  weigh time                0.00
% 0.72/1.18  forward subsume time      0.01
% 0.72/1.18  back demod find time      0.01
% 0.72/1.18  conflict time             0.00
% 0.72/1.18  LRPO time                 0.00
% 0.72/1.18  store clause time         0.01
% 0.72/1.18  disable clause time       0.00
% 0.72/1.18  prime paramod time        0.00
% 0.72/1.18  semantics time            0.00
% 0.72/1.18  
% 0.72/1.18  EQP interrupted
%------------------------------------------------------------------------------