TSTP Solution File: LCL163-1 by EQP---0.9e

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n025.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 : Sun Jul 17 09:41:24 EDT 2022

% Result   : Unsatisfiable 10.04s 10.47s
% Output   : Refutation 10.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   83 (  83 unt;   0 nHn;   4 RR)
%            Number of literals    :   83 (   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    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :  162 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(not(A),xor(A,truth)),
    file('LCL163-1.p',unknown),
    [] ).

cnf(2,plain,
    equal(xor(A,falsehood),A),
    file('LCL163-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(xor(A,A),falsehood),
    file('LCL163-1.p',unknown),
    [] ).

cnf(4,plain,
    equal(and_star(A,truth),A),
    file('LCL163-1.p',unknown),
    [] ).

cnf(5,plain,
    equal(and_star(A,falsehood),falsehood),
    file('LCL163-1.p',unknown),
    [] ).

cnf(6,plain,
    equal(and_star(xor(truth,A),A),falsehood),
    file('LCL163-1.p',unknown),
    [] ).

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

cnf(8,plain,
    equal(and_star(xor(and_star(xor(truth,A),B),truth),B),and_star(xor(and_star(xor(truth,B),A),truth),A)),
    file('LCL163-1.p',unknown),
    [] ).

cnf(9,plain,
    equal(xor(A,B),xor(B,A)),
    file('LCL163-1.p',unknown),
    [] ).

cnf(10,plain,
    equal(and_star(and_star(A,B),C),and_star(A,and_star(B,C))),
    file('LCL163-1.p',unknown),
    [] ).

cnf(11,plain,
    equal(and_star(A,B),and_star(B,A)),
    file('LCL163-1.p',unknown),
    [] ).

cnf(12,plain,
    equal(xor(truth,and_star(A,xor(truth,B))),implies(A,B)),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(13,plain,
    ~ equal(implies(implies(y,x),x),implies(implies(x,y),y)),
    inference(flip,[status(thm),theory(equality)],[1]),
    [iquote('flip(1)')] ).

cnf(14,plain,
    equal(xor(falsehood,A),A),
    inference(para,[status(thm),theory(equality)],[9,2]),
    [iquote('para(9,2)')] ).

cnf(15,plain,
    equal(and_star(truth,A),A),
    inference(para,[status(thm),theory(equality)],[11,4]),
    [iquote('para(11,4)')] ).

cnf(17,plain,
    equal(xor(truth,xor(truth,A)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,7]),14]),1]),
    [iquote('para(3,7),demod([14]),flip(1)')] ).

cnf(18,plain,
    equal(and_star(falsehood,A),falsehood),
    inference(para,[status(thm),theory(equality)],[11,5]),
    [iquote('para(11,5)')] ).

cnf(21,plain,
    equal(and_star(A,xor(truth,A)),falsehood),
    inference(para,[status(thm),theory(equality)],[11,6]),
    [iquote('para(11,6)')] ).

cnf(27,plain,
    equal(and_star(xor(and_star(xor(truth,A),B),truth),B),and_star(xor(truth,and_star(xor(truth,B),A)),A)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,8]),1]),
    [iquote('para(9,8),flip(1)')] ).

cnf(29,plain,
    equal(and_star(xor(truth,and_star(xor(truth,A),B)),B),and_star(xor(truth,and_star(xor(truth,B),A)),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),27,27]),
    [iquote('back_demod(8),demod([27,27])')] ).

cnf(32,plain,
    equal(and_star(xor(truth,A),and_star(A,B)),falsehood),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,10]),18]),1]),
    [iquote('para(6,10),demod([18]),flip(1)')] ).

cnf(36,plain,
    equal(xor(truth,A),implies(A,falsehood)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,12]),4]),
    [iquote('para(2,12),demod([4])')] ).

cnf(37,plain,
    equal(and_star(implies(A,falsehood),and_star(A,B)),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[32]),36]),
    [iquote('back_demod(32),demod([36])')] ).

cnf(39,plain,
    equal(and_star(implies(and_star(implies(A,falsehood),B),falsehood),B),and_star(implies(and_star(implies(B,falsehood),A),falsehood),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),36,36,36,36]),
    [iquote('back_demod(29),demod([36,36,36,36])')] ).

cnf(45,plain,
    equal(and_star(A,implies(A,falsehood)),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),36]),
    [iquote('back_demod(21),demod([36])')] ).

cnf(46,plain,
    equal(implies(implies(A,falsehood),falsehood),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17]),36,36]),
    [iquote('back_demod(17),demod([36,36])')] ).

cnf(47,plain,
    equal(implies(and_star(A,implies(B,falsehood)),falsehood),implies(A,B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),36,36]),
    [iquote('back_demod(12),demod([36,36])')] ).

cnf(50,plain,
    equal(implies(falsehood,falsehood),truth),
    inference(para,[status(thm),theory(equality)],[36,2]),
    [iquote('para(36,2)')] ).

cnf(70,plain,
    equal(implies(truth,A),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,47]),46]),1]),
    [iquote('para(15,47),demod([46]),flip(1)')] ).

cnf(73,plain,
    equal(implies(falsehood,A),truth),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,47]),50]),1]),
    [iquote('para(18,47),demod([50]),flip(1)')] ).

cnf(78,plain,
    equal(implies(A,truth),truth),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,47]),5,73]),1]),
    [iquote('para(70,47),demod([5,73]),flip(1)')] ).

cnf(82,plain,
    equal(and_star(implies(and_star(implies(A,falsehood),B),falsehood),B),and_star(implies(A,B),A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,39]),47]),1]),
    [iquote('para(11,39),demod([47]),flip(1)')] ).

cnf(84,plain,
    equal(and_star(implies(A,B),A),and_star(implies(B,A),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[39]),82,82]),
    [iquote('back_demod(39),demod([82,82])')] ).

cnf(85,plain,
    equal(implies(and_star(A,and_star(B,implies(C,falsehood))),falsehood),implies(and_star(A,B),C)),
    inference(para,[status(thm),theory(equality)],[10,47]),
    [iquote('para(10,47)')] ).

cnf(86,plain,
    equal(implies(and_star(implies(A,falsehood),B),falsehood),implies(B,A)),
    inference(para,[status(thm),theory(equality)],[11,47]),
    [iquote('para(11,47)')] ).

cnf(89,plain,
    equal(implies(A,A),truth),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[45,47]),73]),1]),
    [iquote('para(45,47),demod([73]),flip(1)')] ).

cnf(90,plain,
    equal(and_star(implies(A,B),and_star(A,and_star(implies(B,falsehood),C))),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[47,37]),10]),
    [iquote('para(47,37),demod([10])')] ).

cnf(93,plain,
    equal(implies(implies(A,B),falsehood),and_star(A,implies(B,falsehood))),
    inference(para,[status(thm),theory(equality)],[47,46]),
    [iquote('para(47,46)')] ).

cnf(94,plain,
    equal(implies(and_star(A,B),falsehood),implies(A,implies(B,falsehood))),
    inference(para,[status(thm),theory(equality)],[46,47]),
    [iquote('para(46,47)')] ).

cnf(95,plain,
    equal(implies(implies(A,falsehood),implies(B,falsehood)),implies(B,A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[86]),94]),
    [iquote('back_demod(86),demod([94])')] ).

cnf(96,plain,
    equal(implies(A,B),implies(implies(B,falsehood),implies(A,falsehood))),
    inference(flip,[status(thm),theory(equality)],[95]),
    [iquote('flip(95)')] ).

cnf(97,plain,
    equal(implies(and_star(A,B),C),implies(A,implies(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[85]),94,94,93,89,4]),1]),
    [iquote('back_demod(85),demod([94,94,93,89,4]),flip(1)')] ).

cnf(101,plain,
    equal(implies(A,implies(B,and_star(A,B))),truth),
    inference(para,[status(thm),theory(equality)],[97,89]),
    [iquote('para(97,89)')] ).

cnf(105,plain,
    equal(and_star(implies(A,B),A),and_star(B,implies(B,A))),
    inference(para,[status(thm),theory(equality)],[84,11]),
    [iquote('para(84,11)')] ).

cnf(106,plain,
    equal(and_star(A,implies(A,B)),and_star(implies(B,A),B)),
    inference(flip,[status(thm),theory(equality)],[105]),
    [iquote('flip(105)')] ).

cnf(191,plain,
    equal(implies(A,implies(implies(A,implies(B,falsehood)),implies(B,falsehood))),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,101]),97]),
    [iquote('para(96,101),demod([97])')] ).

cnf(192,plain,
    equal(implies(A,implies(implies(B,implies(A,falsehood)),implies(B,falsehood))),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,101]),93,97,97]),
    [iquote('para(96,101),demod([93,97,97])')] ).

cnf(448,plain,
    equal(implies(A,implies(implies(B,falsehood),implies(C,falsehood))),implies(C,implies(A,B))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,95]),97]),
    [iquote('para(93,95),demod([97])')] ).

cnf(454,plain,
    equal(implies(A,implies(B,A)),truth),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,448]),78]),1]),
    [iquote('para(89,448),demod([78]),flip(1)')] ).

cnf(463,plain,
    ~ equal(implies(implies(implies(x,falsehood),implies(y,falsehood)),x),implies(implies(x,y),y)),
    inference(para,[status(thm),theory(equality)],[96,13]),
    [iquote('para(96,13)')] ).

cnf(485,plain,
    equal(implies(implies(A,falsehood),implies(B,implies(C,falsehood))),implies(B,implies(C,A))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[97,95]),97]),
    [iquote('para(97,95),demod([97])')] ).

cnf(487,plain,
    equal(implies(implies(A,falsehood),implies(A,B)),truth),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,485]),78]),1]),
    [iquote('para(89,485),demod([78]),flip(1)')] ).

cnf(867,plain,
    equal(and_star(implies(A,B),and_star(A,and_star(implies(C,implies(B,falsehood)),C))),falsehood),
    inference(para,[status(thm),theory(equality)],[106,90]),
    [iquote('para(106,90)')] ).

cnf(1694,plain,
    equal(and_star(A,and_star(implies(B,and_star(C,implies(A,falsehood))),B)),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[454,867]),93,15]),
    [iquote('para(454,867),demod([93,15])')] ).

cnf(1696,plain,
    equal(and_star(A,and_star(implies(B,and_star(implies(A,falsehood),C)),B)),falsehood),
    inference(para,[status(thm),theory(equality)],[11,1694]),
    [iquote('para(11,1694)')] ).

cnf(1718,plain,
    equal(and_star(A,and_star(B,implies(B,and_star(implies(A,falsehood),C)))),falsehood),
    inference(para,[status(thm),theory(equality)],[11,1696]),
    [iquote('para(11,1696)')] ).

cnf(1740,plain,
    equal(and_star(A,and_star(implies(A,and_star(implies(B,falsehood),C)),B)),falsehood),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1718,11]),10]),1]),
    [iquote('para(1718,11),demod([10]),flip(1)')] ).

cnf(3014,plain,
    equal(implies(A,implies(implies(A,and_star(B,implies(C,falsehood))),and_star(B,implies(C,falsehood)))),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,191]),93]),
    [iquote('para(93,191),demod([93])')] ).

cnf(3018,plain,
    equal(implies(A,implies(implies(A,B),B)),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,3014]),89,4,4]),
    [iquote('para(73,3014),demod([89,4,4])')] ).

cnf(3102,plain,
    equal(implies(A,implies(B,and_star(B,A))),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,192]),93,89,4,93,93,89,4]),
    [iquote('para(96,192),demod([93,89,4,93,93,89,4])')] ).

cnf(3135,plain,
    equal(and_star(implies(A,and_star(A,B)),implies(implies(A,and_star(A,B)),B)),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3102,105]),15]),1]),
    [iquote('para(3102,105),demod([15]),flip(1)')] ).

cnf(3140,plain,
    equal(implies(implies(A,B),implies(A,and_star(implies(B,A),B))),truth),
    inference(para,[status(thm),theory(equality)],[106,3102]),
    [iquote('para(106,3102)')] ).

cnf(7826,plain,
    equal(and_star(A,and_star(implies(A,and_star(B,and_star(implies(C,falsehood),D))),implies(B,C))),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,1740]),10]),
    [iquote('para(93,1740),demod([10])')] ).

cnf(7843,plain,
    equal(and_star(A,and_star(implies(A,and_star(B,C)),implies(B,falsehood))),falsehood),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,7826]),15]),
    [iquote('para(73,7826),demod([15])')] ).

cnf(7850,plain,
    equal(and_star(implies(A,and_star(B,C)),and_star(implies(B,falsehood),A)),falsehood),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7843,11]),10]),1]),
    [iquote('para(7843,11),demod([10]),flip(1)')] ).

cnf(7912,plain,
    equal(and_star(implies(A,falsehood),and_star(B,implies(B,and_star(A,C)))),falsehood),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7850,11]),10]),1]),
    [iquote('para(7850,11),demod([10]),flip(1)')] ).

cnf(8194,plain,
    equal(implies(A,implies(implies(A,and_star(B,C)),B)),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7912,3102]),93,89,4,97]),
    [iquote('para(7912,3102),demod([93,89,4,97])')] ).

cnf(8195,plain,
    equal(implies(A,implies(implies(A,and_star(B,C)),C)),truth),
    inference(para,[status(thm),theory(equality)],[11,8194]),
    [iquote('para(11,8194)')] ).

cnf(8347,plain,
    equal(implies(A,implies(B,implies(implies(A,implies(B,and_star(C,D))),D))),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[97,8195]),97]),
    [iquote('para(97,8195),demod([97])')] ).

cnf(8350,plain,
    equal(implies(implies(A,and_star(B,C)),implies(A,C)),truth),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,8347]),70]),
    [iquote('para(89,8347),demod([70])')] ).

cnf(9176,plain,
    equal(implies(A,and_star(implies(B,A),B)),implies(A,B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3140,84]),15,8350,15]),1]),
    [iquote('para(3140,84),demod([15,8350,15]),flip(1)')] ).

cnf(9181,plain,
    equal(implies(A,and_star(B,implies(B,A))),implies(A,B)),
    inference(para,[status(thm),theory(equality)],[11,9176]),
    [iquote('para(11,9176)')] ).

cnf(9230,plain,
    equal(implies(implies(A,falsehood),and_star(implies(A,B),implies(B,falsehood))),implies(implies(A,falsehood),implies(B,falsehood))),
    inference(para,[status(thm),theory(equality)],[95,9176]),
    [iquote('para(95,9176)')] ).

cnf(9231,plain,
    equal(implies(implies(implies(A,B),implies(A,falsehood)),implies(B,falsehood)),implies(B,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9176,96]),97]),1]),
    [iquote('para(9176,96),demod([97]),flip(1)')] ).

cnf(25107,plain,
    equal(implies(implies(implies(A,B),B),A),implies(implies(A,falsehood),implies(B,falsehood))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3018,9231]),70,93,9230]),1]),
    [iquote('para(3018,9231),demod([70,93,9230]),flip(1)')] ).

cnf(25115,plain,
    equal(implies(implies(A,falsehood),B),implies(implies(B,and_star(B,A)),A)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3102,9231]),70,93,97,9181]),
    [iquote('para(3102,9231),demod([70,93,97,9181])')] ).

cnf(25146,plain,
    equal(implies(implies(A,and_star(A,B)),B),implies(implies(A,falsehood),B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25115,96]),93,89,4]),
    [iquote('para(25115,96),demod([93,89,4])')] ).

cnf(25152,plain,
    equal(and_star(implies(A,and_star(A,B)),implies(implies(A,falsehood),B)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3135]),25146]),
    [iquote('back_demod(3135),demod([25146])')] ).

cnf(25257,plain,
    equal(and_star(implies(A,and_star(A,B)),implies(implies(B,falsehood),A)),B),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[96,25152]),93,89,4]),
    [iquote('para(96,25152),demod([93,89,4])')] ).

cnf(25261,plain,
    equal(implies(implies(A,B),and_star(implies(A,B),A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[487,25257]),4]),
    [iquote('para(487,25257),demod([4])')] ).

cnf(25263,plain,
    equal(implies(implies(A,B),and_star(implies(B,A),B)),A),
    inference(para,[status(thm),theory(equality)],[84,25261]),
    [iquote('para(84,25261)')] ).

cnf(25266,plain,
    equal(implies(implies(implies(A,falsehood),implies(B,falsehood)),A),implies(implies(A,B),B)),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3018,25263]),25107,15]),
    [iquote('para(3018,25263),demod([25107,15])')] ).

cnf(25267,plain,
    $false,
    inference(conflict,[status(thm)],[25266,463]),
    [iquote('conflict(25266,463)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_eqp %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 19:28:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 10.04/10.47  ----- EQP 0.9e, May 2009 -----
% 10.04/10.47  The job began on n025.cluster.edu, Mon Jul  4 19:28:42 2022
% 10.04/10.47  The command was "./eqp09e".
% 10.04/10.47  
% 10.04/10.47  set(prolog_style_variables).
% 10.04/10.47  set(lrpo).
% 10.04/10.47  set(basic_paramod).
% 10.04/10.47  set(functional_subsume).
% 10.04/10.47  set(ordered_paramod).
% 10.04/10.47  set(prime_paramod).
% 10.04/10.47  set(para_pairs).
% 10.04/10.47  assign(pick_given_ratio,4).
% 10.04/10.47  clear(print_kept).
% 10.04/10.47  clear(print_new_demod).
% 10.04/10.47  clear(print_back_demod).
% 10.04/10.47  clear(print_given).
% 10.04/10.47  assign(max_mem,64000).
% 10.04/10.47  end_of_commands.
% 10.04/10.47  
% 10.04/10.47  Usable:
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  Sos:
% 10.04/10.47  0 (wt=-1) [] not(A) = xor(A,truth).
% 10.04/10.47  0 (wt=-1) [] xor(A,falsehood) = A.
% 10.04/10.47  0 (wt=-1) [] xor(A,A) = falsehood.
% 10.04/10.47  0 (wt=-1) [] and_star(A,truth) = A.
% 10.04/10.47  0 (wt=-1) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47  0 (wt=-1) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47  0 (wt=-1) [] xor(A,xor(truth,B)) = xor(xor(A,truth),B).
% 10.04/10.47  0 (wt=-1) [] and_star(xor(and_star(xor(truth,A),B),truth),B) = and_star(xor(and_star(xor(truth,B),A),truth),A).
% 10.04/10.47  0 (wt=-1) [] xor(A,B) = xor(B,A).
% 10.04/10.47  0 (wt=-1) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47  0 (wt=-1) [] and_star(A,B) = and_star(B,A).
% 10.04/10.47  0 (wt=-1) [] not(truth) = falsehood.
% 10.04/10.47  0 (wt=-1) [] implies(A,B) = xor(truth,and_star(A,xor(truth,B))).
% 10.04/10.47  0 (wt=-1) [] -(implies(implies(x,y),y) = implies(implies(y,x),x)).
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  Demodulators:
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  Passive:
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  Starting to process input.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 1 (wt=6) [] not(A) = xor(A,truth).
% 10.04/10.47  1 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 2 (wt=5) [] xor(A,falsehood) = A.
% 10.04/10.47  2 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 3 (wt=5) [] xor(A,A) = falsehood.
% 10.04/10.47  3 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 4 (wt=5) [] and_star(A,truth) = A.
% 10.04/10.47  4 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47  5 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47  6 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 10.04/10.47  7 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 8 (wt=19) [] and_star(xor(and_star(xor(truth,A),B),truth),B) = and_star(xor(and_star(xor(truth,B),A),truth),A).
% 10.04/10.47  clause forward subsumed: 0 (wt=19) [flip(8)] and_star(xor(and_star(xor(truth,B),A),truth),A) = and_star(xor(and_star(xor(truth,A),B),truth),B).
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 9 (wt=7) [] xor(A,B) = xor(B,A).
% 10.04/10.47  clause forward subsumed: 0 (wt=7) [flip(9)] xor(B,A) = xor(A,B).
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47  10 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 11 (wt=7) [] and_star(A,B) = and_star(B,A).
% 10.04/10.47  clause forward subsumed: 0 (wt=7) [flip(11)] and_star(B,A) = and_star(A,B).
% 10.04/10.47  clause forward subsumed: 0 (wt=3) [demod([1,3])] falsehood = falsehood.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 10.04/10.47  12 is a new demodulator.
% 10.04/10.47  
% 10.04/10.47  ** KEPT: 13 (wt=11) [flip(1)] -(implies(implies(y,x),x) = implies(implies(x,y),y)).
% 10.04/10.47  ---------------- PROOF FOUND ----------------
% 10.04/10.47  % SZS status Unsatisfiable
% 10.04/10.47  
% 10.04/10.47  
% 10.04/10.47  After processing input:
% 10.04/10.47  
% 10.04/10.47  Usable:
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  Sos:
% 10.04/10.47  2 (wt=5) [] xor(A,falsehood) = A.
% 10.04/10.47  3 (wt=5) [] xor(A,A) = falsehood.
% 10.04/10.47  4 (wt=5) [] and_star(A,truth) = A.
% 10.04/10.47  5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47  1 (wt=6) [] not(A) = xor(A,truth).
% 10.04/10.47  6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47  9 (wt=7) [] xor(A,B) = xor(B,A).
% 10.04/10.47  11 (wt=7) [] and_star(A,B) = and_star(B,A).
% 10.04/10.47  7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 10.04/10.47  10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47  12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 10.04/10.47  13 (wt=11) [flip(1)] -(implies(implies(y,x),x) = implies(implies(x,y),y)).
% 10.04/10.47  8 (wt=19) [] and_star(xor(and_star(xor(truth,A),B),truth),B) = and_star(xor(and_star(xor(truth,B),A),truth),A).
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  Demodulators:
% 10.04/10.47  1 (wt=6) [] not(A) = xor(A,truth).
% 10.04/10.47  2 (wt=5) [] xor(A,falsehood) = A.
% 10.04/10.47  3 (wt=5) [] xor(A,A) = falsehood.
% 10.04/10.47  4 (wt=5) [] and_star(A,truth) = A.
% 10.04/10.47  5 (wt=5) [] and_star(A,falsehood) = falsehood.
% 10.04/10.47  6 (wt=7) [] and_star(xor(truth,A),A) = falsehood.
% 10.04/10.47  7 (wt=11) [flip(1)] xor(xor(A,truth),B) = xor(A,xor(truth,B)).
% 10.04/10.47  10 (wt=11) [] and_star(and_star(A,B),C) = and_star(A,and_star(B,C)).
% 10.04/10.47  12 (wt=11) [flip(1)] xor(truth,and_star(A,xor(truth,B))) = implies(A,B).
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  Passive:
% 10.04/10.47  end_of_list.
% 10.04/10.47  
% 10.04/10.47  UNIT CONFLICT from 25266 and 463 at   7.71 seconds.
% 10.04/10.47  
% 10.04/10.47  ---------------- PROOF ----------------
% 10.04/10.47  % SZS output start Refutation
% See solution above
% 10.04/10.47  ------------ end of proof -------------
% 10.04/10.47  
% 10.04/10.47  
% 10.04/10.47  ------------- memory usage ------------
% 10.04/10.47  Memory dynamically allocated (tp_alloc): 46386.
% 10.04/10.47    type (bytes each)        gets      frees     in use      avail      bytes
% 10.04/10.47  sym_ent (  96)               59          0         59          0      5.5 K
% 10.04/10.47  term (  16)             5425111    4726213     698898         20  13552.0 K
% 10.04/10.47  gen_ptr (   8)          4458821     857436    3601385         82  28136.5 K
% 10.04/10.47  context ( 808)          3719480    3719478          2          7      7.1 K
% 10.04/10.47  trail (  12)            1308111    1308111          0          8      0.1 K
% 10.04/10.47  bt_node (  68)          1327091    1327088          3         12      1.0 K
% 10.04/10.47  ac_position (285432)          0          0          0          0      0.0 K
% 10.04/10.47  ac_match_pos (14044)          0          0          0          0      0.0 K
% 10.04/10.47  ac_match_free_vars_pos (4020)
% 10.04/10.47                                0          0          0          0      0.0 K
% 10.04/10.47  discrim (  12)           155525       5924     149601        581   1759.9 K
% 10.04/10.47  flat (  40)            13447929   13447929          0         39      1.5 K
% 10.04/10.47  discrim_pos (  12)       356721     356721          0          1      0.0 K
% 10.04/10.47  fpa_head (  12)            3899          0       3899          0     45.7 K
% 10.04/10.47  fpa_tree (  28)           21619      21619          0         25      0.7 K
% 10.04/10.47  fpa_pos (  36)            31708      31708          0          1      0.0 K
% 10.04/10.47  literal (  12)           214341     189075      25266          1    296.1 K
% 10.04/10.47  clause (  24)            214341     189075      25266          1    592.2 K
% 10.04/10.47  list (  12)                6501       6445         56          3      0.7 K
% 10.04/10.47  list_pos (  20)           83346       2712      80634        111   1577.1 K
% 10.04/10.47  pair_index (   40)              2          0          2          0      0.1 K
% 10.04/10.47  
% 10.04/10.47  -------------- statistics -------------
% 10.04/10.47  Clauses input                 14
% 10.04/10.47    Usable input                   0
% 10.04/10.47    Sos input                     14
% 10.04/10.47    Demodulators input             0
% 10.04/10.47    Passive input                  0
% 10.04/10.47  
% 10.04/10.47  Processed BS (before search)  17
% 10.04/10.47  Forward subsumed BS            4
% 10.04/10.47  Kept BS                       13
% 10.04/10.47  New demodulators BS            9
% 10.04/10.47  Back demodulated BS            0
% 10.04/10.47  
% 10.04/10.47  Clauses or pairs given     96529
% 10.04/10.47  Clauses generated         149345
% 10.04/10.47  Forward subsumed          124092
% 10.04/10.47  Deleted by weight              0
% 10.04/10.47  Deleted by variable count      0
% 10.04/10.47  Kept                       25253
% 10.04/10.47  New demodulators            6433
% 10.04/10.47  Back demodulated             545
% 10.04/10.47  Ordered paramod prunes         0
% 10.04/10.47  Basic paramod prunes      168676
% 10.04/10.47  Prime paramod prunes       18434
% 10.04/10.47  Semantic prunes                0
% 10.04/10.47  
% 10.04/10.47  Rewrite attmepts         2003300
% 10.04/10.47  Rewrites                  300814
% 10.04/10.47  
% 10.04/10.47  FPA overloads                  0
% 10.04/10.47  FPA underloads                 0
% 10.04/10.47  
% 10.04/10.47  Usable size                    0
% 10.04/10.47  Sos size                   24720
% 10.04/10.47  Demodulators size           5929
% 10.04/10.47  Passive size                   0
% 10.04/10.47  Disabled size                545
% 10.04/10.47  
% 10.04/10.47  Proofs found                   1
% 10.04/10.47  
% 10.04/10.47  ----------- times (seconds) ----------- Mon Jul  4 19:28:52 2022
% 10.04/10.47  
% 10.04/10.47  user CPU time             7.71   (0 hr, 0 min, 7 sec)
% 10.04/10.47  system CPU time           1.66   (0 hr, 0 min, 1 sec)
% 10.04/10.47  wall-clock time          10      (0 hr, 0 min, 10 sec)
% 10.04/10.47  input time                0.00
% 10.04/10.47  paramodulation time       0.50
% 10.04/10.47  demodulation time         0.37
% 10.04/10.47  orient time               0.26
% 10.04/10.47  weigh time                0.07
% 10.04/10.47  forward subsume time      0.14
% 10.04/10.47  back demod find time      1.52
% 10.04/10.47  conflict time             0.02
% 10.04/10.47  LRPO time                 0.13
% 10.04/10.47  store clause time         4.29
% 10.04/10.47  disable clause time       0.09
% 10.04/10.47  prime paramod time        0.16
% 10.04/10.47  semantics time            0.00
% 10.04/10.47  
% 10.04/10.47  EQP interrupted
%------------------------------------------------------------------------------