TSTP Solution File: ALG016+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG016+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 17:59:38 EDT 2022
% Result : Theorem 2.12s 2.36s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 82
% Syntax : Number of clauses : 230 ( 184 unt; 34 nHn; 230 RR)
% Number of literals : 481 ( 480 equ; 269 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(3,axiom,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(6,axiom,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(9,axiom,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(27,axiom,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(31,axiom,
op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(37,axiom,
op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(38,axiom,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(58,axiom,
op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(59,axiom,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(60,axiom,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(102,axiom,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(104,axiom,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(106,axiom,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(109,axiom,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(110,axiom,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(128,axiom,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(132,axiom,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(139,axiom,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(145,axiom,
op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(147,axiom,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(158,axiom,
op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(159,axiom,
op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(160,axiom,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(161,axiom,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(163,axiom,
op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(164,axiom,
op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(165,axiom,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(171,axiom,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(181,axiom,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(249,axiom,
op1(e10,e10) != op1(e11,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(250,axiom,
op1(e10,e10) != op1(e12,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(252,axiom,
op1(e11,e10) != op1(e12,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(255,axiom,
op1(e10,e11) != op1(e11,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(258,axiom,
op1(e11,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(259,axiom,
op1(e11,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(261,axiom,
op1(e10,e12) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(262,axiom,
op1(e10,e12) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(263,axiom,
op1(e10,e12) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(273,axiom,
op1(e10,e10) != op1(e10,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(274,axiom,
op1(e10,e10) != op1(e10,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(275,axiom,
op1(e10,e10) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(279,axiom,
op1(e11,e10) != op1(e11,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(285,axiom,
op1(e12,e10) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(286,axiom,
op1(e12,e10) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(287,axiom,
op1(e12,e10) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(288,axiom,
op1(e12,e11) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(289,axiom,
op1(e12,e11) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(297,axiom,
op2(e20,e20) != op2(e21,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(298,axiom,
op2(e20,e20) != op2(e22,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(300,axiom,
op2(e21,e20) != op2(e22,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(301,axiom,
op2(e21,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(309,axiom,
op2(e20,e22) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(310,axiom,
op2(e20,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(311,axiom,
op2(e20,e22) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(315,axiom,
op2(e20,e23) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(318,axiom,
op2(e21,e23) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(321,axiom,
op2(e20,e20) != op2(e20,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(322,axiom,
op2(e20,e20) != op2(e20,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(323,axiom,
op2(e20,e20) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(332,axiom,
op2(e21,e22) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(334,axiom,
op2(e22,e20) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(335,axiom,
op2(e22,e20) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(381,axiom,
e10 = op1(op1(e12,op1(e12,e12)),e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
cnf(382,axiom,
e11 = op1(e12,op1(e12,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
cnf(383,axiom,
op1(e12,e12) = e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
cnf(384,axiom,
e20 = op2(op2(e22,op2(e22,e22)),e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
cnf(385,axiom,
e21 = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
cnf(386,axiom,
op2(e22,e22) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
cnf(390,axiom,
h1(e13) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
cnf(391,axiom,
h2(e12) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
cnf(392,axiom,
h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
cnf(393,axiom,
h2(e11) = op2(e21,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
cnf(394,axiom,
h2(e13) = op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
cnf(396,axiom,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
cnf(397,plain,
h3(e10) = op2(op2(e22,e23),e22),
inference('REWRITE',[status(thm)],[396,386,theory(equality)]) ).
cnf(398,axiom,
h3(e11) = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
cnf(399,plain,
h3(e11) = op2(e22,e23),
inference('REWRITE',[status(thm)],[398,386,theory(equality)]) ).
cnf(403,axiom,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
cnf(404,axiom,
h4(e11) = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
cnf(405,axiom,
h4(e13) = op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
cnf(641,negated_conjecture,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e10) != e20
| h2(e12) != e21
| h2(e11) != e22
| h2(e13) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(642,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e13)) != op2(e21,h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),e21)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e10) != e20
| h2(e11) != e22
| h2(e13) != e23 ),
inference('REWRITE',[status(thm)],[641,394,383,391,theory(equality)]) ).
cnf(1084,plain,
op2(h4(e13),e23) = h4(e11),
inference('REWRITE',[status(thm)],[181,405,404,theory(equality)]) ).
cnf(1112,plain,
h4(e10) = op2(h4(e11),e23),
inference('REWRITE',[status(thm)],[403,404,theory(equality)]) ).
cnf(1142,plain,
op2(op2(e21,e22),e23) = op2(e21,h3(e11)),
inference('REWRITE',[status(thm)],[145,399,theory(equality)]) ).
cnf(1144,plain,
op2(h3(e11),e21) = op2(e22,op2(e23,e21)),
inference('REWRITE',[status(thm)],[163,399,theory(equality)]) ).
cnf(1145,plain,
op2(h3(e11),e23) = op2(e22,h4(e13)),
inference('REWRITE',[status(thm)],[165,405,399,theory(equality)]) ).
cnf(1148,plain,
op2(e21,e23) != h3(e11),
inference('REWRITE',[status(thm)],[318,399,theory(equality)]) ).
cnf(1150,plain,
op2(e22,e20) != h3(e11),
inference('REWRITE',[status(thm)],[335,399,theory(equality)]) ).
cnf(1152,plain,
h3(e10) = op2(h3(e11),e22),
inference('REWRITE',[status(thm)],[397,399,theory(equality)]) ).
cnf(1157,plain,
h3(e10) = op2(e22,op2(e23,e22)),
inference('REWRITE',[status(thm)],[164,397,theory(equality)]) ).
cnf(1164,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference('REWRITE',[status(thm)],[171,394,theory(equality)]) ).
cnf(1171,plain,
h2(e11) = op2(e21,h2(e13)),
inference('REWRITE',[status(thm)],[393,394,theory(equality)]) ).
cnf(1177,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e13)) != h2(e11)
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),e21)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e10) != e20
| h2(e11) != e22
| h2(e13) != e23 ),
inference('REWRITE',[status(thm)],[642,1171,theory(equality)]) ).
cnf(1199,plain,
op2(h2(e13),e21) = h2(e11),
inference('REWRITE',[status(thm)],[139,394,393,theory(equality)]) ).
cnf(1205,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e13)) != h2(e11)
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != h2(e11)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e10) != e20
| h2(e11) != e22
| h2(e13) != e23 ),
inference('REWRITE',[status(thm)],[1177,1199,theory(equality)]) ).
cnf(1227,plain,
h2(e10) = op2(h2(e11),e21),
inference('REWRITE',[status(thm)],[392,393,theory(equality)]) ).
cnf(1233,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != h2(e10)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e13)) != h2(e11)
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != h2(e11)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e10) != e20
| h2(e11) != e22
| h2(e13) != e23 ),
inference('REWRITE',[status(thm)],[1205,1227,theory(equality)]) ).
cnf(1255,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference('REWRITE',[status(thm)],[102,390,theory(equality)]) ).
cnf(1262,plain,
h1(e13) != op2(e21,e20),
inference('REWRITE',[status(thm)],[297,390,theory(equality)]) ).
cnf(1263,plain,
h1(e13) != op2(e22,e20),
inference('REWRITE',[status(thm)],[298,390,theory(equality)]) ).
cnf(1265,plain,
h1(e13) != op2(e20,e21),
inference('REWRITE',[status(thm)],[321,390,theory(equality)]) ).
cnf(1266,plain,
h1(e13) != op2(e20,e22),
inference('REWRITE',[status(thm)],[322,390,theory(equality)]) ).
cnf(1267,plain,
h1(e13) != op2(e20,e23),
inference('REWRITE',[status(thm)],[323,390,theory(equality)]) ).
cnf(1352,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference('REWRITE',[status(thm)],[128,386,theory(equality)]) ).
cnf(1354,plain,
op2(e23,e20) = op2(e22,op2(e22,e20)),
inference('REWRITE',[status(thm)],[158,386,theory(equality)]) ).
cnf(1355,plain,
op2(e23,e21) = op2(e22,op2(e22,e21)),
inference('REWRITE',[status(thm)],[159,386,theory(equality)]) ).
cnf(1356,plain,
h4(e13) = op2(e22,h3(e11)),
inference('REWRITE',[status(thm)],[161,399,405,386,theory(equality)]) ).
cnf(1362,plain,
op2(e20,e22) != e23,
inference('REWRITE',[status(thm)],[310,386,theory(equality)]) ).
cnf(1363,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference('REWRITE',[status(thm)],[104,1362]) ).
cnf(1368,plain,
op2(e22,e20) != e23,
inference('REWRITE',[status(thm)],[334,386,theory(equality)]) ).
cnf(1369,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference('REWRITE',[status(thm)],[110,1368]) ).
cnf(1375,plain,
h3(e11) = e21,
inference('REWRITE',[status(thm)],[385,399,386,theory(equality)]) ).
cnf(1376,plain,
op2(e22,e23) = e21,
inference('REWRITE',[status(thm)],[399,1375,theory(equality)]) ).
cnf(1378,plain,
op2(op2(e21,e22),e23) = h2(e13),
inference('REWRITE',[status(thm)],[1142,394,1375,theory(equality)]) ).
cnf(1380,plain,
h2(e13) = op2(e22,op2(e23,e21)),
inference('REWRITE',[status(thm)],[1144,394,1375,theory(equality)]) ).
cnf(1381,plain,
op2(e21,e23) = op2(e22,h4(e13)),
inference('REWRITE',[status(thm)],[1145,1375,theory(equality)]) ).
cnf(1385,plain,
op2(e21,e23) != e21,
inference('REWRITE',[status(thm)],[1148,1375,theory(equality)]) ).
cnf(1386,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[109,1385]) ).
cnf(1389,plain,
op2(e22,e20) != e21,
inference('REWRITE',[status(thm)],[1150,1375,theory(equality)]) ).
cnf(1390,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e22 ),
inference('REWRITE',[status(thm)],[1369,1389]) ).
cnf(1393,plain,
h3(e10) = op2(e21,e22),
inference('REWRITE',[status(thm)],[1152,1375,theory(equality)]) ).
cnf(1399,plain,
op2(e20,e22) != h3(e10),
inference('REWRITE',[status(thm)],[309,1393,theory(equality)]) ).
cnf(1402,plain,
h3(e10) != op2(e21,e23),
inference('REWRITE',[status(thm)],[332,1393,theory(equality)]) ).
cnf(1408,plain,
op2(h3(e10),e23) = h2(e13),
inference('REWRITE',[status(thm)],[1378,1393,theory(equality)]) ).
cnf(1409,plain,
h4(e13) = op2(e22,e21),
inference('REWRITE',[status(thm)],[1356,1375,theory(equality)]) ).
cnf(1419,plain,
op2(e23,e21) = op2(e21,e23),
inference('REWRITE',[status(thm)],[1355,1381,1409,theory(equality)]) ).
cnf(1428,plain,
op2(e23,e22) = e21,
inference('REWRITE',[status(thm)],[160,386,385,theory(equality)]) ).
cnf(1429,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference('REWRITE',[status(thm)],[132,1428,theory(equality)]) ).
cnf(1432,plain,
op2(e20,e22) != e21,
inference('REWRITE',[status(thm)],[311,1428,theory(equality)]) ).
cnf(1433,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e22 ),
inference('REWRITE',[status(thm)],[1363,1432]) ).
cnf(1438,plain,
h3(e10) = h4(e13),
inference('REWRITE',[status(thm)],[1157,1409,1428,theory(equality)]) ).
cnf(1447,plain,
h2(e13) = h4(e11),
inference('REWRITE',[status(thm)],[1084,1408,1438,theory(equality)]) ).
cnf(1448,plain,
h4(e10) = op2(h2(e13),e23),
inference('REWRITE',[status(thm)],[1112,1447,theory(equality)]) ).
cnf(1483,plain,
h3(e10) = e20,
inference('REWRITE',[status(thm)],[384,1393,385,theory(equality)]) ).
cnf(1484,plain,
op2(e21,e22) = e20,
inference('REWRITE',[status(thm)],[1393,1483,theory(equality)]) ).
cnf(1487,plain,
op2(e20,e22) != e20,
inference('REWRITE',[status(thm)],[1399,1483,theory(equality)]) ).
cnf(1488,plain,
op2(e20,e22) = e22,
inference('REWRITE',[status(thm)],[1433,1487]) ).
cnf(1498,plain,
h1(e13) != e22,
inference('REWRITE',[status(thm)],[1266,1488,theory(equality)]) ).
cnf(1499,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference('REWRITE',[status(thm)],[1255,1498]) ).
cnf(1500,plain,
op2(e20,e23) = e23,
inference('REWRITE',[status(thm)],[1352,386,1488,theory(equality)]) ).
cnf(1506,plain,
op2(e21,e23) != e23,
inference('REWRITE',[status(thm)],[315,1500,theory(equality)]) ).
cnf(1507,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22 ),
inference('REWRITE',[status(thm)],[1386,1506]) ).
cnf(1511,plain,
h1(e13) != e23,
inference('REWRITE',[status(thm)],[1267,1500,theory(equality)]) ).
cnf(1512,plain,
( h1(e13) = e20
| h1(e13) = e21 ),
inference('REWRITE',[status(thm)],[1499,1511]) ).
cnf(1513,plain,
op2(e20,e21) = e21,
inference('REWRITE',[status(thm)],[1429,1428,1500,theory(equality)]) ).
cnf(1523,plain,
h1(e13) != e21,
inference('REWRITE',[status(thm)],[1265,1513,theory(equality)]) ).
cnf(1524,plain,
h1(e13) = e20,
inference('REWRITE',[status(thm)],[1512,1523]) ).
cnf(1525,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[390,1524,theory(equality)]) ).
cnf(1529,plain,
op2(e21,e20) != e20,
inference('REWRITE',[status(thm)],[1262,1524,theory(equality)]) ).
cnf(1530,plain,
( op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference('REWRITE',[status(thm)],[106,1529]) ).
cnf(1531,plain,
op2(e22,e20) != e20,
inference('REWRITE',[status(thm)],[1263,1524,theory(equality)]) ).
cnf(1532,plain,
op2(e22,e20) = e22,
inference('REWRITE',[status(thm)],[1390,1531]) ).
cnf(1533,plain,
op2(e21,e20) != e22,
inference('REWRITE',[status(thm)],[300,1532,theory(equality)]) ).
cnf(1534,plain,
( op2(e21,e20) = e21
| op2(e21,e20) = e23 ),
inference('REWRITE',[status(thm)],[1530,1533]) ).
cnf(1537,plain,
op2(e23,e20) = e23,
inference('REWRITE',[status(thm)],[1354,386,1532,theory(equality)]) ).
cnf(1539,plain,
op2(e21,e20) != e23,
inference('REWRITE',[status(thm)],[301,1537,theory(equality)]) ).
cnf(1540,plain,
op2(e21,e20) = e21,
inference('REWRITE',[status(thm)],[1534,1539]) ).
cnf(1547,plain,
op2(e21,e23) != e20,
inference('REWRITE',[status(thm)],[1402,1483,theory(equality)]) ).
cnf(1548,plain,
op2(e21,e23) = e22,
inference('REWRITE',[status(thm)],[1507,1547]) ).
cnf(1549,plain,
op2(e22,e21) = op2(e21,op2(e23,e21)),
inference('REWRITE',[status(thm)],[147,1548,theory(equality)]) ).
cnf(1553,plain,
op2(e23,e21) = e22,
inference('REWRITE',[status(thm)],[1419,1548,theory(equality)]) ).
cnf(1554,plain,
op2(e22,e21) = op2(e23,h2(e13)),
inference('REWRITE',[status(thm)],[1164,1553,theory(equality)]) ).
cnf(1555,plain,
h2(e13) = e23,
inference('REWRITE',[status(thm)],[1380,386,1553,theory(equality)]) ).
cnf(1557,plain,
h2(e11) = e22,
inference('REWRITE',[status(thm)],[1171,1548,1555,theory(equality)]) ).
cnf(1558,plain,
h2(e10) = op2(e22,e21),
inference('REWRITE',[status(thm)],[1227,1557,theory(equality)]) ).
cnf(1562,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),e22)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),e23)
| h2(op1(e11,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != h2(e10)
| h2(op1(e11,e13)) != e21
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != e20
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e13,e11)) != e21
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != op2(e23,e23)
| h2(e10) != e20 ),
inference('REWRITE',[status(thm)],[1233,1428,1484,1376,386,1557,1555,theory(equality)]) ).
cnf(1564,plain,
h4(e10) = op2(e23,e23),
inference('REWRITE',[status(thm)],[1448,1555,theory(equality)]) ).
cnf(1565,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),e22)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),e23)
| h2(op1(e11,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != h2(e10)
| h2(op1(e11,e13)) != e21
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != e20
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e13,e11)) != e21
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != h4(e10)
| h2(e10) != e20 ),
inference('REWRITE',[status(thm)],[1562,1564,theory(equality)]) ).
cnf(1566,plain,
h2(e10) = h4(e10),
inference('REWRITE',[status(thm)],[1554,1564,1558,1555,theory(equality)]) ).
cnf(1568,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),e22)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),e23)
| h2(op1(e11,e10)) != op2(e22,h2(e10))
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != h2(e10)
| h2(op1(e11,e13)) != e21
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != e20
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e10)) != op2(e23,h2(e10))
| h2(op1(e13,e11)) != e21
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != h2(e10)
| h2(e10) != e20 ),
inference('REWRITE',[status(thm)],[1565,1566,theory(equality)]) ).
cnf(1569,plain,
h2(e10) = e20,
inference('REWRITE',[status(thm)],[1549,1484,1558,1553,theory(equality)]) ).
cnf(1573,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e21
| h2(op1(e10,e13)) != e23
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e12,e10)) != e21
| h2(op1(e12,e11)) != e20
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e10)) != e23
| h2(op1(e13,e11)) != e21
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[1568,1537,1540,1532,1500,1513,1488,1525,1569,theory(equality)]) ).
cnf(1576,plain,
op1(op1(e10,e12),e12) = op1(e10,e13),
inference('REWRITE',[status(thm)],[27,383,theory(equality)]) ).
cnf(1579,plain,
op1(e13,e11) = op1(e12,op1(e12,e11)),
inference('REWRITE',[status(thm)],[58,383,theory(equality)]) ).
cnf(1580,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference('REWRITE',[status(thm)],[60,383,theory(equality)]) ).
cnf(1582,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[262,383,theory(equality)]) ).
cnf(1583,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference('REWRITE',[status(thm)],[3,1582]) ).
cnf(1588,plain,
op1(e12,e10) != e13,
inference('REWRITE',[status(thm)],[286,383,theory(equality)]) ).
cnf(1589,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference('REWRITE',[status(thm)],[9,1588]) ).
cnf(1590,plain,
op1(e12,e11) != e13,
inference('REWRITE',[status(thm)],[288,383,theory(equality)]) ).
cnf(1591,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[10,1590]) ).
cnf(1595,plain,
op1(e12,e13) = e11,
inference('REWRITE',[status(thm)],[382,383,theory(equality)]) ).
cnf(1609,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[287,1595,theory(equality)]) ).
cnf(1610,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e12 ),
inference('REWRITE',[status(thm)],[1589,1609]) ).
cnf(1611,plain,
op1(e12,e11) != e11,
inference('REWRITE',[status(thm)],[289,1595,theory(equality)]) ).
cnf(1612,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[1591,1611]) ).
cnf(1613,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e21
| h2(op1(e10,e13)) != e23
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e12,e10)) != e21
| h2(op1(e12,e11)) != e20
| h2(op1(e13,e10)) != e23
| h2(op1(e13,e11)) != e21
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[1573,1557,1595,theory(equality)]) ).
cnf(1615,plain,
op1(e13,e13) = op1(e12,e11),
inference('REWRITE',[status(thm)],[1580,1595,theory(equality)]) ).
cnf(1628,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e21
| h2(op1(e10,e13)) != e23
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e12,e10)) != e21
| h2(op1(e12,e11)) != e20
| h2(op1(e13,e10)) != e23
| h2(op1(e13,e11)) != e21
| h2(op1(e13,e12)) != e22 ),
inference('REWRITE',[status(thm)],[1613,1615,theory(equality)]) ).
cnf(1630,plain,
op1(e13,e12) = e11,
inference('REWRITE',[status(thm)],[59,383,382,theory(equality)]) ).
cnf(1631,plain,
op1(op1(e10,e13),e12) = op1(e10,e11),
inference('REWRITE',[status(thm)],[31,1630,theory(equality)]) ).
cnf(1637,plain,
op1(e10,e12) != e11,
inference('REWRITE',[status(thm)],[263,1630,theory(equality)]) ).
cnf(1638,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference('REWRITE',[status(thm)],[1583,1637]) ).
cnf(1648,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e21
| h2(op1(e10,e13)) != e23
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != e20
| h2(op1(e11,e13)) != e21
| h2(op1(e12,e10)) != e21
| h2(op1(e12,e11)) != e20
| h2(op1(e13,e10)) != e23
| h2(op1(e13,e11)) != e21 ),
inference('REWRITE',[status(thm)],[1628,1557,1630,theory(equality)]) ).
cnf(1650,plain,
op1(e11,e12) = e10,
inference('REWRITE',[status(thm)],[381,382,theory(equality)]) ).
cnf(1657,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[261,1650,theory(equality)]) ).
cnf(1658,plain,
op1(e10,e12) = e12,
inference('REWRITE',[status(thm)],[1638,1657]) ).
cnf(1665,plain,
op1(e10,e10) != e12,
inference('REWRITE',[status(thm)],[274,1658,theory(equality)]) ).
cnf(1666,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[1,1665]) ).
cnf(1671,plain,
op1(e10,e13) = e13,
inference('REWRITE',[status(thm)],[1576,383,1658,theory(equality)]) ).
cnf(1680,plain,
op1(e10,e10) != e13,
inference('REWRITE',[status(thm)],[275,1671,theory(equality)]) ).
cnf(1681,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[1666,1680]) ).
cnf(1684,plain,
op1(e10,e11) = e11,
inference('REWRITE',[status(thm)],[1631,1630,1671,theory(equality)]) ).
cnf(1692,plain,
op1(e11,e11) != e11,
inference('REWRITE',[status(thm)],[255,1684,theory(equality)]) ).
cnf(1693,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[6,1692]) ).
cnf(1694,plain,
op1(e10,e10) != e11,
inference('REWRITE',[status(thm)],[273,1684,theory(equality)]) ).
cnf(1695,plain,
op1(e10,e10) = e10,
inference('REWRITE',[status(thm)],[1681,1694]) ).
cnf(1699,plain,
op1(e11,e10) != e10,
inference('REWRITE',[status(thm)],[249,1695,theory(equality)]) ).
cnf(1700,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference('REWRITE',[status(thm)],[5,1699]) ).
cnf(1701,plain,
op1(e12,e10) != e10,
inference('REWRITE',[status(thm)],[250,1695,theory(equality)]) ).
cnf(1702,plain,
op1(e12,e10) = e12,
inference('REWRITE',[status(thm)],[1610,1701]) ).
cnf(1703,plain,
op1(e11,e10) != e12,
inference('REWRITE',[status(thm)],[252,1702,theory(equality)]) ).
cnf(1704,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e13 ),
inference('REWRITE',[status(thm)],[1700,1703]) ).
cnf(1707,plain,
op1(e12,e11) != e12,
inference('REWRITE',[status(thm)],[285,1702,theory(equality)]) ).
cnf(1708,plain,
op1(e12,e11) = e10,
inference('REWRITE',[status(thm)],[1612,1707]) ).
cnf(1713,plain,
op1(e11,e11) != e10,
inference('REWRITE',[status(thm)],[258,1708,theory(equality)]) ).
cnf(1714,plain,
( op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[1693,1713]) ).
cnf(1717,plain,
op1(e13,e11) = e12,
inference('REWRITE',[status(thm)],[1579,1702,1708,theory(equality)]) ).
cnf(1722,plain,
op1(e11,e11) != e12,
inference('REWRITE',[status(thm)],[259,1717,theory(equality)]) ).
cnf(1723,plain,
op1(e11,e11) = e13,
inference('REWRITE',[status(thm)],[1714,1722]) ).
cnf(1724,plain,
op1(e13,e10) = op1(e11,op1(e11,e10)),
inference('REWRITE',[status(thm)],[37,1723,theory(equality)]) ).
cnf(1725,plain,
op1(e11,e13) = e12,
inference('REWRITE',[status(thm)],[38,1717,1723,theory(equality)]) ).
cnf(1729,plain,
op1(e11,e10) != e13,
inference('REWRITE',[status(thm)],[279,1723,theory(equality)]) ).
cnf(1730,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[1704,1729]) ).
cnf(1732,plain,
op1(e13,e10) = e13,
inference('REWRITE',[status(thm)],[1724,1723,1730,theory(equality)]) ).
cnf(1733,plain,
$false,
inference('REWRITE',[status(thm)],[1648,1717,1732,1708,1702,1725,1723,1730,1555,1671,391,1658,1557,1684,1569,1695,1650,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG016+1 : TPTP v8.1.0. Released v2.7.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 22:23:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T22:23:07
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-08T22:23:07
% 2.12/2.36
% 2.12/2.36
% 2.12/2.36 #||
% 2.12/2.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.12/2.36 % SZS output start Refutation
% See solution above
% 2.21/2.38 ||#
% 2.21/2.38
% 2.21/2.38 ; Summary of computation:
% 2.21/2.38 ; 2758 formulas have been input or derived (from 1 formulas).
% 2.21/2.38 ; 1733 (63%) were retained. Of these,
% 2.21/2.38 ; 1568 (90%) were simplified or subsumed later,
% 2.21/2.38 ; 165 (10%) are still being kept.
% 2.21/2.38 ;
% 2.21/2.38 ; Run time in seconds excluding printing time:
% 2.21/2.38 ; 0.054 3% Read assertion file (1 call)
% 2.21/2.38 ; 0.475 25% Assert (30 calls)
% 2.21/2.38 ; 0.250 13% Process new row (2,393 calls)
% 2.21/2.38 ; 0.000 0% Condensing (785 calls)
% 2.21/2.38 ; 0.119 6% Forward subsumption (785 calls)
% 2.21/2.38 ; 0.111 6% Backward subsumption (701 calls)
% 2.21/2.38 ; 0.196 10% Clause clause subsumption (2,272 calls)
% 2.21/2.38 ; 0.538 28% Forward simplification (2,393 calls)
% 2.21/2.38 ; 0.121 6% Backward simplification (1,370 calls)
% 2.21/2.38 ; 0.000 0% Ordering (426 calls)
% 2.21/2.38 ; 0.000 0% Sortal reasoning (32 calls)
% 2.21/2.38 ; 0.004 0% Purity testing (1 call)
% 2.21/2.38 ; 0.028 1% Other
% 2.21/2.38 ; 1.896 Total
% 2.21/2.38 ; 1.916 Real time
% 2.21/2.38 ;
% 2.21/2.38 ; Term-hash-array has 1,413 terms in all.
% 2.21/2.38 ; Feature-vector-row-index has 34 entries (150 at peak, 701 added, 667 deleted).
% 2.21/2.38 ; Feature-vector-row-index has 218 nodes (970 at peak, 6,436 added, 6,218 deleted).
% 2.21/2.38 ; Retrieved 1,616 possibly forward subsuming rows in 785 calls.
% 2.21/2.38 ; Retrieved 1,140 possibly backward subsumed rows in 701 calls.
% 2.21/2.38 ; Path-index has 278 entries (993 at peak, 2,999 added, 2,721 deleted).
% 2.21/2.38 ; Path-index has 274 nodes (446 at peak, 1,143 added, 869 deleted).
% 2.21/2.38 ; Trie-index has 278 entries (993 at peak, 2,999 added, 2,721 deleted).
% 2.21/2.38 ; Trie-index has 469 nodes (2,306 at peak, 6,953 added, 6,484 deleted).
% 2.21/2.38 ; Retrieved 15,763 generalization terms in 127,142 calls.
% 2.21/2.38 ; Retrieved 668 instance terms in 668 calls.
% 2.21/2.38 ;
% 2.21/2.38 ; The agenda of backward simplifiable rows to process has 1 entry:
% 2.21/2.38 ; 1 with value 0
% 2.21/2.38 ; The agenda of input rows to give has 164 entries:
% 2.21/2.38 ; 28 with value 4 8 with value 8 2 with value 16
% 2.21/2.38 ; 18 with value 6 16 with value 9 8 with value 24
% 2.21/2.38 ; 60 with value 7 24 with value 12
% 2.21/2.38 Evaluation took:
% 2.21/2.38 1.917 seconds of real time
% 2.21/2.38 1.875248 seconds of user run time
% 2.21/2.38 0.041012 seconds of system run time
% 2.21/2.38 [Run times include 0.054 seconds GC run time.]
% 2.21/2.38 0 calls to %EVAL
% 2.21/2.38 0 page faults and
% 2.21/2.38 159,237,560 bytes consed.
% 2.21/2.38 :PROOF-FOUND
% 2.21/2.38 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T22:23:09
% 2.21/2.38 :PROOF-FOUND
% 2.21/2.38 *
%------------------------------------------------------------------------------