TSTP Solution File: ALG111+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 17:59:54 EDT 2022
% Result : Theorem 1.97s 2.20s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 106
% Syntax : Number of clauses : 269 ( 181 unt; 73 nHn; 269 RR)
% Number of literals : 527 ( 526 equ; 237 neg)
% Maximal clause size : 20 ( 1 avg)
% Maximal term depth : 4 ( 1 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(4,axiom,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = 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(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(13,axiom,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(22,axiom,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(33,axiom,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(34,axiom,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(36,axiom,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(38,axiom,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(39,axiom,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(49,axiom,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(52,axiom,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(53,axiom,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(54,axiom,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(58,axiom,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(61,axiom,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(70,axiom,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(81,axiom,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(82,axiom,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(84,axiom,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(86,axiom,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(87,axiom,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(94,axiom,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(97,axiom,
op1(e10,e10) != op1(e11,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(102,axiom,
op1(e12,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(103,axiom,
op1(e10,e11) != op1(e11,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(106,axiom,
op1(e11,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(107,axiom,
op1(e11,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(108,axiom,
op1(e12,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(116,axiom,
op1(e10,e13) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(117,axiom,
op1(e10,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(121,axiom,
op1(e10,e10) != op1(e10,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(123,axiom,
op1(e10,e10) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(124,axiom,
op1(e10,e11) != op1(e10,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(125,axiom,
op1(e10,e11) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(127,axiom,
op1(e11,e10) != op1(e11,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(128,axiom,
op1(e11,e10) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(129,axiom,
op1(e11,e10) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(132,axiom,
op1(e11,e12) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(136,axiom,
op1(e12,e11) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(139,axiom,
op1(e13,e10) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(140,axiom,
op1(e13,e10) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(141,axiom,
op1(e13,e10) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(142,axiom,
op1(e13,e11) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(144,axiom,
op1(e13,e12) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(145,axiom,
op2(e20,e20) != op2(e21,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(150,axiom,
op2(e22,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(151,axiom,
op2(e20,e21) != op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(154,axiom,
op2(e21,e21) != op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(155,axiom,
op2(e21,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(156,axiom,
op2(e22,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(164,axiom,
op2(e20,e23) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(165,axiom,
op2(e20,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(169,axiom,
op2(e20,e20) != op2(e20,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(171,axiom,
op2(e20,e20) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(172,axiom,
op2(e20,e21) != op2(e20,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(173,axiom,
op2(e20,e21) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(175,axiom,
op2(e21,e20) != op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(176,axiom,
op2(e21,e20) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(177,axiom,
op2(e21,e20) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(180,axiom,
op2(e21,e22) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(184,axiom,
op2(e22,e21) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(187,axiom,
op2(e23,e20) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(188,axiom,
op2(e23,e20) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(189,axiom,
op2(e23,e20) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(190,axiom,
op2(e23,e21) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(192,axiom,
op2(e23,e22) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(193,axiom,
e10 != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(194,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(195,axiom,
e10 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(196,axiom,
e11 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(199,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(200,axiom,
e20 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(201,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(202,axiom,
e21 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(221,axiom,
op1(e10,e10) != e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(231,axiom,
( op1(e10,e13) != e10
| op1(e11,e11) != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(238,axiom,
op1(e11,e11) != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(252,axiom,
( op1(e12,e11) != e12
| op1(e13,e13) != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(255,axiom,
op1(e12,e12) != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(257,axiom,
( op1(e12,e13) != e12
| op1(e11,e11) != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(273,axiom,
op2(e20,e20) != e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(283,axiom,
( op2(e20,e23) != e20
| op2(e21,e21) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(290,axiom,
op2(e21,e21) != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(304,axiom,
( op2(e22,e21) != e22
| op2(e23,e23) != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(307,axiom,
op2(e22,e22) != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(309,axiom,
( op2(e22,e23) != e22
| op2(e21,e21) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(325,axiom,
e10 = op1(e13,op1(e13,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(326,axiom,
op1(e13,e13) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(327,axiom,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(328,plain,
e12 = op1(op1(e13,e11),e11),
inference('REWRITE',[status(thm)],[327,326,theory(equality)]) ).
cnf(329,axiom,
e20 = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(330,axiom,
op2(e23,e23) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(331,axiom,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(332,plain,
e22 = op2(op2(e23,e21),e21),
inference('REWRITE',[status(thm)],[331,330,theory(equality)]) ).
cnf(335,axiom,
h1(e11) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(338,axiom,
h2(e13) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(339,axiom,
h2(e10) = op2(e21,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(340,axiom,
h2(e11) = op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(341,axiom,
h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(342,plain,
h2(e12) = op2(op2(e21,h2(e11)),h2(e11)),
inference('REWRITE',[status(thm)],[341,340,theory(equality)]) ).
cnf(344,axiom,
h3(e10) = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(345,axiom,
h3(e11) = op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(349,axiom,
h4(e10) = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(350,plain,
h4(e10) = op2(e23,e21),
inference('REWRITE',[status(thm)],[349,330,theory(equality)]) ).
cnf(353,axiom,
h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(354,plain,
h4(e12) = op2(h4(e10),e21),
inference('REWRITE',[status(thm)],[353,350,330,theory(equality)]) ).
cnf(771,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(e12) != e20
| h2(e13) != e21
| h2(e10) != e22
| h2(e11) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(772,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),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),e21)
| 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),e21)
| 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),e21)
| h2(op1(e13,e10)) != op2(e21,h2(e10))
| h2(op1(e13,e11)) != op2(e21,h2(e11))
| h2(op1(e13,e12)) != op2(e21,h2(e12))
| h2(e12) != e20
| h2(e10) != e22
| h2(e11) != e23 ),
inference('REWRITE',[status(thm)],[771,340,326,338,theory(equality)]) ).
cnf(1065,plain,
op2(e22,e21) != h4(e10),
inference('REWRITE',[status(thm)],[156,350,theory(equality)]) ).
cnf(1066,plain,
op2(e23,e20) != h4(e10),
inference('REWRITE',[status(thm)],[187,350,theory(equality)]) ).
cnf(1067,plain,
h4(e10) != op2(e23,e22),
inference('REWRITE',[status(thm)],[190,350,theory(equality)]) ).
cnf(1068,plain,
h4(e12) = e22,
inference('REWRITE',[status(thm)],[332,354,350,theory(equality)]) ).
cnf(1069,plain,
e22 = op2(h4(e10),e21),
inference('REWRITE',[status(thm)],[354,1068,theory(equality)]) ).
cnf(1072,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| h3(e11) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[81,345,theory(equality)]) ).
cnf(1073,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| h3(e11) = e20
| op2(e23,e22) = e20 ),
inference('REWRITE',[status(thm)],[82,345,theory(equality)]) ).
cnf(1075,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| h3(e11) = e21
| op2(e23,e22) = e21 ),
inference('REWRITE',[status(thm)],[84,345,theory(equality)]) ).
cnf(1076,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| h3(e11) = e23
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[87,345,theory(equality)]) ).
cnf(1082,plain,
op2(e22,e21) != h3(e11),
inference('REWRITE',[status(thm)],[184,345,theory(equality)]) ).
cnf(1094,plain,
h3(e10) = op2(e22,h3(e11)),
inference('REWRITE',[status(thm)],[344,345,theory(equality)]) ).
cnf(1129,plain,
op2(e20,e21) != h2(e11),
inference('REWRITE',[status(thm)],[151,340,theory(equality)]) ).
cnf(1130,plain,
h2(e11) != op2(e22,e21),
inference('REWRITE',[status(thm)],[154,340,theory(equality)]) ).
cnf(1131,plain,
h2(e11) != h4(e10),
inference('REWRITE',[status(thm)],[155,350,340,theory(equality)]) ).
cnf(1132,plain,
op2(e21,e20) != h2(e11),
inference('REWRITE',[status(thm)],[175,340,theory(equality)]) ).
cnf(1136,plain,
( op2(e20,e23) != e20
| h2(e11) != e23 ),
inference('REWRITE',[status(thm)],[283,340,theory(equality)]) ).
cnf(1142,plain,
( op2(e22,e23) != e22
| h2(e11) != e23 ),
inference('REWRITE',[status(thm)],[309,340,theory(equality)]) ).
cnf(1145,plain,
h2(e10) = op2(e21,h2(e11)),
inference('REWRITE',[status(thm)],[339,340,theory(equality)]) ).
cnf(1146,plain,
h2(e12) = op2(h2(e10),h2(e11)),
inference('REWRITE',[status(thm)],[342,1145,theory(equality)]) ).
cnf(1166,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != h2(e12)
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),e21)
| 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),e21)
| 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),e21)
| h2(op1(e13,e10)) != op2(e21,h2(e10))
| h2(op1(e13,e11)) != h2(e10)
| h2(op1(e13,e12)) != op2(e21,h2(e12))
| h2(e12) != e20
| h2(e10) != e22
| h2(e11) != e23 ),
inference('REWRITE',[status(thm)],[772,1146,1145,theory(equality)]) ).
cnf(1177,plain,
( h1(e11) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference('REWRITE',[status(thm)],[70,335,theory(equality)]) ).
cnf(1180,plain,
h1(e11) != op2(e21,e20),
inference('REWRITE',[status(thm)],[145,335,theory(equality)]) ).
cnf(1183,plain,
h1(e11) != op2(e20,e21),
inference('REWRITE',[status(thm)],[169,335,theory(equality)]) ).
cnf(1185,plain,
h1(e11) != op2(e20,e23),
inference('REWRITE',[status(thm)],[171,335,theory(equality)]) ).
cnf(1228,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[94,202,330,theory(equality)]) ).
cnf(1229,plain,
op2(e20,e23) != e21,
inference('REWRITE',[status(thm)],[165,330,theory(equality)]) ).
cnf(1230,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[52,1229]) ).
cnf(1237,plain,
op2(e23,e20) != e21,
inference('REWRITE',[status(thm)],[189,330,theory(equality)]) ).
cnf(1238,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[61,1237]) ).
cnf(1242,plain,
op2(e23,e22) != e21,
inference('REWRITE',[status(thm)],[192,330,theory(equality)]) ).
cnf(1244,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| h3(e11) = e21 ),
inference('REWRITE',[status(thm)],[1075,1242]) ).
cnf(1248,plain,
op2(e22,e21) != e22,
inference('REWRITE',[status(thm)],[304,330,theory(equality)]) ).
cnf(1249,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e23 ),
inference('REWRITE',[status(thm)],[58,1248]) ).
cnf(1254,plain,
h4(e10) = e20,
inference('REWRITE',[status(thm)],[329,350,330,theory(equality)]) ).
cnf(1255,plain,
op2(e23,e21) = e20,
inference('REWRITE',[status(thm)],[350,1254,theory(equality)]) ).
cnf(1256,plain,
op2(e22,e21) != e20,
inference('REWRITE',[status(thm)],[1065,1254,theory(equality)]) ).
cnf(1257,plain,
( op2(e22,e20) = e20
| h3(e11) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[1072,1256]) ).
cnf(1258,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e23 ),
inference('REWRITE',[status(thm)],[1249,1256]) ).
cnf(1259,plain,
op2(e23,e20) != e20,
inference('REWRITE',[status(thm)],[1066,1254,theory(equality)]) ).
cnf(1260,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[1238,1259]) ).
cnf(1261,plain,
op2(e23,e22) != e20,
inference('REWRITE',[status(thm)],[1067,1254,theory(equality)]) ).
cnf(1262,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| h3(e11) = e20 ),
inference('REWRITE',[status(thm)],[1073,1261]) ).
cnf(1264,plain,
op2(e20,e21) = e22,
inference('REWRITE',[status(thm)],[1069,1254,theory(equality)]) ).
cnf(1265,plain,
op2(e20,e22) != e22,
inference('REWRITE',[status(thm)],[172,1264,theory(equality)]) ).
cnf(1267,plain,
op2(e20,e23) != e22,
inference('REWRITE',[status(thm)],[173,1264,theory(equality)]) ).
cnf(1268,plain,
( op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[1228,1267]) ).
cnf(1269,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[1230,1267]) ).
cnf(1270,plain,
h2(e11) != e22,
inference('REWRITE',[status(thm)],[1129,1264,theory(equality)]) ).
cnf(1273,plain,
h1(e11) != e22,
inference('REWRITE',[status(thm)],[1183,1264,theory(equality)]) ).
cnf(1274,plain,
( op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference('REWRITE',[status(thm)],[1177,1273]) ).
cnf(1278,plain,
h2(e11) != e20,
inference('REWRITE',[status(thm)],[1131,1254,theory(equality)]) ).
cnf(1284,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[46,196,326,theory(equality)]) ).
cnf(1285,plain,
op1(e10,e13) != e11,
inference('REWRITE',[status(thm)],[117,326,theory(equality)]) ).
cnf(1286,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[4,1285]) ).
cnf(1293,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[141,326,theory(equality)]) ).
cnf(1294,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[13,1293]) ).
cnf(1298,plain,
op1(e13,e12) != e11,
inference('REWRITE',[status(thm)],[144,326,theory(equality)]) ).
cnf(1300,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[36,1298]) ).
cnf(1304,plain,
op1(e12,e11) != e12,
inference('REWRITE',[status(thm)],[252,326,theory(equality)]) ).
cnf(1305,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[10,1304]) ).
cnf(1310,plain,
op1(e13,e11) = e10,
inference('REWRITE',[status(thm)],[325,326,theory(equality)]) ).
cnf(1311,plain,
op1(e11,e11) != e10,
inference('REWRITE',[status(thm)],[107,1310,theory(equality)]) ).
cnf(1313,plain,
op1(e12,e11) != e10,
inference('REWRITE',[status(thm)],[108,1310,theory(equality)]) ).
cnf(1314,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[33,1313]) ).
cnf(1315,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[1305,1313]) ).
cnf(1316,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[139,1310,theory(equality)]) ).
cnf(1317,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[1294,1316]) ).
cnf(1318,plain,
op1(e13,e12) != e10,
inference('REWRITE',[status(thm)],[142,1310,theory(equality)]) ).
cnf(1319,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10 ),
inference('REWRITE',[status(thm)],[34,1318]) ).
cnf(1321,plain,
op1(e10,e11) = e12,
inference('REWRITE',[status(thm)],[328,1310,theory(equality)]) ).
cnf(1323,plain,
op1(e11,e11) != e12,
inference('REWRITE',[status(thm)],[103,1321,theory(equality)]) ).
cnf(1325,plain,
op1(e10,e10) != e12,
inference('REWRITE',[status(thm)],[121,1321,theory(equality)]) ).
cnf(1326,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference('REWRITE',[status(thm)],[22,1325]) ).
cnf(1327,plain,
op1(e10,e12) != e12,
inference('REWRITE',[status(thm)],[124,1321,theory(equality)]) ).
cnf(1329,plain,
op1(e10,e13) != e12,
inference('REWRITE',[status(thm)],[125,1321,theory(equality)]) ).
cnf(1330,plain,
( op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[1284,1329]) ).
cnf(1331,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[1286,1329]) ).
cnf(1368,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),e21)
| 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),e21)
| 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),e21)
| h2(op1(e13,e10)) != op2(e21,h2(e10))
| h2(op1(e13,e12)) != op2(e21,h2(e12))
| h2(e12) != e20
| h2(e10) != e22
| h2(e11) != e23 ),
inference('REWRITE',[status(thm)],[1166,1321,1310,theory(equality)]) ).
cnf(1397,plain,
( op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference('REWRITE',[status(thm)],[86,1265,307]) ).
cnf(1398,plain,
h2(e11) = e23,
inference('REWRITE',[status(thm)],[54,1270,1278,340,290,theory(equality)]) ).
cnf(1400,plain,
op2(e22,e21) != e23,
inference('REWRITE',[status(thm)],[1130,1398,theory(equality)]) ).
cnf(1401,plain,
( op2(e22,e20) = e23
| h3(e11) = e23
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[1076,1400]) ).
cnf(1402,plain,
op2(e22,e21) = e21,
inference('REWRITE',[status(thm)],[1258,1400]) ).
cnf(1406,plain,
h3(e11) != e21,
inference('REWRITE',[status(thm)],[1082,1402,theory(equality)]) ).
cnf(1407,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference('REWRITE',[status(thm)],[1244,1406]) ).
cnf(1409,plain,
op2(e21,e20) != e23,
inference('REWRITE',[status(thm)],[1132,1398,theory(equality)]) ).
cnf(1410,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22 ),
inference('REWRITE',[status(thm)],[53,1409]) ).
cnf(1418,plain,
op2(e20,e23) != e20,
inference('REWRITE',[status(thm)],[1136,1398,theory(equality)]) ).
cnf(1420,plain,
op2(e20,e23) = e23,
inference('REWRITE',[status(thm)],[1269,1418]) ).
cnf(1421,plain,
op2(e22,e23) != e23,
inference('REWRITE',[status(thm)],[164,1420,theory(equality)]) ).
cnf(1423,plain,
( op2(e22,e20) = e23
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[1401,1421]) ).
cnf(1427,plain,
h1(e11) != e23,
inference('REWRITE',[status(thm)],[1185,1420,theory(equality)]) ).
cnf(1429,plain,
op2(e22,e23) != e22,
inference('REWRITE',[status(thm)],[1142,1398,theory(equality)]) ).
cnf(1430,plain,
op2(e21,e23) = e22,
inference('REWRITE',[status(thm)],[1268,1429]) ).
cnf(1431,plain,
op2(e21,e20) != e22,
inference('REWRITE',[status(thm)],[177,1430,theory(equality)]) ).
cnf(1432,plain,
( op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference('REWRITE',[status(thm)],[1274,1431]) ).
cnf(1433,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference('REWRITE',[status(thm)],[1410,1431]) ).
cnf(1434,plain,
op2(e21,e22) != e22,
inference('REWRITE',[status(thm)],[180,1430,theory(equality)]) ).
cnf(1435,plain,
op2(e23,e22) = e22,
inference('REWRITE',[status(thm)],[1397,1434]) ).
cnf(1436,plain,
op2(e23,e20) != e22,
inference('REWRITE',[status(thm)],[188,1435,theory(equality)]) ).
cnf(1437,plain,
op2(e23,e20) = e23,
inference('REWRITE',[status(thm)],[1260,1436]) ).
cnf(1438,plain,
op2(e22,e20) != e23,
inference('REWRITE',[status(thm)],[150,1437,theory(equality)]) ).
cnf(1440,plain,
h3(e11) = e23,
inference('REWRITE',[status(thm)],[1423,1438]) ).
cnf(1441,plain,
op2(e22,e22) = e23,
inference('REWRITE',[status(thm)],[345,1440,theory(equality)]) ).
cnf(1442,plain,
h3(e10) = op2(e22,e23),
inference('REWRITE',[status(thm)],[1094,1440,theory(equality)]) ).
cnf(1448,plain,
( op2(e22,e20) = e20
| h3(e10) = e20 ),
inference('REWRITE',[status(thm)],[1257,1442,201,1440,theory(equality)]) ).
cnf(1449,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference('REWRITE',[status(thm)],[1262,201,1440,theory(equality)]) ).
cnf(1452,plain,
op2(e22,e20) = e22,
inference('REWRITE',[status(thm)],[1432,1436]) ).
cnf(1453,plain,
h3(e10) = e20,
inference('REWRITE',[status(thm)],[1448,200,1452,theory(equality)]) ).
cnf(1454,plain,
op2(e22,e23) = e20,
inference('REWRITE',[status(thm)],[1442,1453,theory(equality)]) ).
cnf(1458,plain,
h2(e10) = e22,
inference('REWRITE',[status(thm)],[1145,1430,1398,theory(equality)]) ).
cnf(1459,plain,
h2(e12) = e20,
inference('REWRITE',[status(thm)],[1146,1454,1458,1398,theory(equality)]) ).
cnf(1460,plain,
( h2(op1(e10,e10)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e13)) != e21
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e21
| h2(op1(e11,e12)) != e23
| h2(op1(e11,e13)) != e20
| h2(op1(e12,e10)) != op2(e20,e22)
| h2(op1(e12,e11)) != e23
| h2(op1(e12,e12)) != h1(e11)
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e10)) != op2(e21,e22)
| h2(op1(e13,e12)) != op2(e21,e20) ),
inference('REWRITE',[status(thm)],[1368,1264,335,1420,1255,1437,330,1435,1402,1452,1459,1441,1458,1398,theory(equality)]) ).
cnf(1463,plain,
h1(e11) = e21,
inference('REWRITE',[status(thm)],[49,1427,1273,335,273,theory(equality)]) ).
cnf(1465,plain,
op2(e21,e20) != e21,
inference('REWRITE',[status(thm)],[1180,1463,theory(equality)]) ).
cnf(1466,plain,
op2(e21,e20) = e20,
inference('REWRITE',[status(thm)],[1433,1465]) ).
cnf(1467,plain,
op2(e21,e22) != e20,
inference('REWRITE',[status(thm)],[176,1466,theory(equality)]) ).
cnf(1468,plain,
op2(e20,e22) = e20,
inference('REWRITE',[status(thm)],[1449,1467]) ).
cnf(1469,plain,
op2(e21,e22) = e21,
inference('REWRITE',[status(thm)],[1407,199,1468,theory(equality)]) ).
cnf(1472,plain,
( h2(op1(e10,e10)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e13)) != e21
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e21
| h2(op1(e11,e12)) != e23
| h2(op1(e11,e13)) != e20
| h2(op1(e12,e10)) != e20
| h2(op1(e12,e11)) != e23
| h2(op1(e12,e12)) != e21
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e10)) != e21
| h2(op1(e13,e12)) != e20 ),
inference('REWRITE',[status(thm)],[1460,1466,1469,1468,1463,theory(equality)]) ).
cnf(1478,plain,
( op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[38,1327,255]) ).
cnf(1479,plain,
op1(e11,e11) = e13,
inference('REWRITE',[status(thm)],[6,1323,1311,238]) ).
cnf(1480,plain,
op1(e12,e11) != e13,
inference('REWRITE',[status(thm)],[106,1479,theory(equality)]) ).
cnf(1481,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[39,1480]) ).
cnf(1482,plain,
op1(e12,e11) = e11,
inference('REWRITE',[status(thm)],[1315,1480]) ).
cnf(1486,plain,
op1(e12,e12) != e11,
inference('REWRITE',[status(thm)],[136,1482,theory(equality)]) ).
cnf(1487,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference('REWRITE',[status(thm)],[1300,1486]) ).
cnf(1489,plain,
op1(e11,e10) != e13,
inference('REWRITE',[status(thm)],[127,1479,theory(equality)]) ).
cnf(1490,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12 ),
inference('REWRITE',[status(thm)],[5,1489]) ).
cnf(1498,plain,
op1(e10,e13) != e10,
inference('REWRITE',[status(thm)],[231,1479,theory(equality)]) ).
cnf(1500,plain,
op1(e10,e13) = e13,
inference('REWRITE',[status(thm)],[1331,1498]) ).
cnf(1501,plain,
op1(e12,e13) != e13,
inference('REWRITE',[status(thm)],[116,1500,theory(equality)]) ).
cnf(1503,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[1481,1501]) ).
cnf(1504,plain,
op1(e10,e10) != e13,
inference('REWRITE',[status(thm)],[123,1500,theory(equality)]) ).
cnf(1509,plain,
op1(e12,e13) != e12,
inference('REWRITE',[status(thm)],[257,1479,theory(equality)]) ).
cnf(1510,plain,
op1(e11,e13) = e12,
inference('REWRITE',[status(thm)],[1330,1509]) ).
cnf(1511,plain,
op1(e11,e10) != e12,
inference('REWRITE',[status(thm)],[129,1510,theory(equality)]) ).
cnf(1512,plain,
( op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference('REWRITE',[status(thm)],[1326,1511]) ).
cnf(1513,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11 ),
inference('REWRITE',[status(thm)],[1490,1511]) ).
cnf(1514,plain,
op1(e11,e12) != e12,
inference('REWRITE',[status(thm)],[132,1510,theory(equality)]) ).
cnf(1515,plain,
op1(e13,e12) = e12,
inference('REWRITE',[status(thm)],[1478,1514]) ).
cnf(1516,plain,
op1(e13,e10) != e12,
inference('REWRITE',[status(thm)],[140,1515,theory(equality)]) ).
cnf(1517,plain,
op1(e13,e10) = e13,
inference('REWRITE',[status(thm)],[1317,1516]) ).
cnf(1518,plain,
op1(e12,e10) != e13,
inference('REWRITE',[status(thm)],[102,1517,theory(equality)]) ).
cnf(1520,plain,
op1(e12,e12) = e13,
inference('REWRITE',[status(thm)],[1503,1518]) ).
cnf(1521,plain,
( op1(e12,e10) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[1314,195,1520,theory(equality)]) ).
cnf(1522,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference('REWRITE',[status(thm)],[1319,195,1520,theory(equality)]) ).
cnf(1523,plain,
op1(e12,e10) = e12,
inference('REWRITE',[status(thm)],[1512,1516]) ).
cnf(1524,plain,
op1(e12,e13) = e10,
inference('REWRITE',[status(thm)],[1521,194,1523,theory(equality)]) ).
cnf(1527,plain,
( h2(op1(e10,e10)) != e23
| h2(op1(e10,e12)) != e22
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e12)) != e23 ),
inference('REWRITE',[status(thm)],[1472,1515,1517,1458,1524,1520,1398,1482,1523,1459,1510,338,1500,1479,theory(equality)]) ).
cnf(1530,plain,
op1(e10,e10) = e11,
inference('REWRITE',[status(thm)],[1,1504,1325,221]) ).
cnf(1531,plain,
op1(e11,e10) != e11,
inference('REWRITE',[status(thm)],[97,1530,theory(equality)]) ).
cnf(1532,plain,
op1(e11,e10) = e10,
inference('REWRITE',[status(thm)],[1513,1531]) ).
cnf(1533,plain,
op1(e11,e12) != e10,
inference('REWRITE',[status(thm)],[128,1532,theory(equality)]) ).
cnf(1534,plain,
op1(e10,e12) = e10,
inference('REWRITE',[status(thm)],[1522,1533]) ).
cnf(1535,plain,
op1(e11,e12) = e11,
inference('REWRITE',[status(thm)],[1487,193,1534,theory(equality)]) ).
cnf(1536,plain,
$false,
inference('REWRITE',[status(thm)],[1527,1535,1532,1458,1534,1398,1530,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 02:26:02 EDT 2022
% 0.12/0.34 % 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 2022-06-09T02:26:02
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-09T02:26:02
% 1.97/2.20
% 1.97/2.20
% 1.97/2.20 #||
% 1.97/2.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.97/2.20 % SZS output start Refutation
% See solution above
% 2.05/2.23 ||#
% 2.05/2.23
% 2.05/2.23 ; Summary of computation:
% 2.05/2.23 ; 2482 formulas have been input or derived (from 1 formulas).
% 2.05/2.23 ; 1536 (62%) were retained. Of these,
% 2.05/2.23 ; 1459 (95%) were simplified or subsumed later,
% 2.05/2.23 ; 77 ( 5%) are still being kept.
% 2.05/2.23 ;
% 2.05/2.23 ; Run time in seconds excluding printing time:
% 2.05/2.23 ; 0.058 3% Read assertion file (1 call)
% 2.05/2.23 ; 0.474 27% Assert (18 calls)
% 2.05/2.23 ; 0.204 12% Process new row (2,111 calls)
% 2.05/2.23 ; 0.002 0% Condensing (880 calls)
% 2.05/2.23 ; 0.111 6% Forward subsumption (880 calls)
% 2.05/2.23 ; 0.139 8% Backward subsumption (866 calls)
% 2.05/2.23 ; 0.202 12% Clause clause subsumption (2,780 calls)
% 2.05/2.23 ; 0.448 26% Forward simplification (2,111 calls)
% 2.05/2.23 ; 0.071 4% Backward simplification (1,168 calls)
% 2.05/2.23 ; 0.000 0% Ordering (72 calls)
% 2.05/2.23 ; 0.000 0% Sortal reasoning (32 calls)
% 2.05/2.23 ; 0.004 0% Purity testing (1 call)
% 2.05/2.23 ; 0.021 1% Other
% 2.05/2.23 ; 1.734 Total
% 2.05/2.23 ; 1.765 Real time
% 2.05/2.23 ;
% 2.05/2.23 ; Term-hash-array has 644 terms in all.
% 2.05/2.23 ; Feature-vector-row-index has 0 entries (200 at peak, 866 added, 866 deleted).
% 2.05/2.23 ; Feature-vector-row-index has 1 node (1,226 at peak, 6,433 added, 6,432 deleted).
% 2.05/2.23 ; Retrieved 1,257 possibly forward subsuming rows in 880 calls.
% 2.05/2.23 ; Retrieved 1,532 possibly backward subsumed rows in 866 calls.
% 2.05/2.23 ; Path-index has 132 entries (500 at peak, 1,309 added, 1,177 deleted).
% 2.05/2.23 ; Path-index has 172 nodes (296 at peak, 692 added, 520 deleted).
% 2.05/2.23 ; Trie-index has 132 entries (500 at peak, 1,309 added, 1,177 deleted).
% 2.05/2.23 ; Trie-index has 217 nodes (1,027 at peak, 2,927 added, 2,710 deleted).
% 2.05/2.23 ; Retrieved 15,636 generalization terms in 116,832 calls.
% 2.05/2.23 ; Retrieved 301 instance terms in 301 calls.
% 2.05/2.23 ;
% 2.05/2.23 ; The agenda of backward simplifiable rows to process has 3 entries:
% 2.05/2.23 ; 3 with value 0
% 2.05/2.23 ; The agenda of input rows to give has 76 entries:
% 2.05/2.23 ; 28 with value 4 16 with value 6 32 with value 7
% 2.05/2.23 Evaluation took:
% 2.05/2.23 1.765 seconds of real time
% 2.05/2.23 1.720343 seconds of user run time
% 2.05/2.23 0.044741 seconds of system run time
% 2.05/2.23 [Run times include 0.048 seconds GC run time.]
% 2.05/2.23 0 calls to %EVAL
% 2.05/2.23 0 page faults and
% 2.05/2.23 153,357,712 bytes consed.
% 2.05/2.23 :PROOF-FOUND
% 2.05/2.23 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T02:26:04
% 2.05/2.23 :PROOF-FOUND
% 2.05/2.23 *
%------------------------------------------------------------------------------