TSTP Solution File: ALG114+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:59:55 EDT 2022
% Result : Theorem 1.66s 1.85s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 95
% Syntax : Number of clauses : 261 ( 164 unt; 89 nHn; 261 RR)
% Number of literals : 544 ( 543 equ; 215 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 3 ( 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(3,axiom,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(27,axiom,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(28,axiom,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(29,axiom,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(30,axiom,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(31,axiom,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(32,axiom,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(42,axiom,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(51,axiom,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(57,axiom,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(75,axiom,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(76,axiom,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(77,axiom,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(78,axiom,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(79,axiom,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(80,axiom,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(90,axiom,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(97,axiom,
op1(e10,e10) != op1(e11,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(98,axiom,
op1(e10,e10) != op1(e12,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(99,axiom,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(101,axiom,
op1(e11,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(109,axiom,
op1(e10,e12) != op1(e11,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(110,axiom,
op1(e10,e12) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(111,axiom,
op1(e10,e12) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(112,axiom,
op1(e11,e12) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(119,axiom,
op1(e11,e13) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(124,axiom,
op1(e10,e11) != op1(e10,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(131,axiom,
op1(e11,e11) != op1(e11,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(133,axiom,
op1(e12,e10) != op1(e12,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(134,axiom,
op1(e12,e10) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(135,axiom,
op1(e12,e10) != op1(e12,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(136,axiom,
op1(e12,e11) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(139,axiom,
op1(e13,e10) != op1(e13,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(140,axiom,
op1(e13,e10) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(141,axiom,
op1(e13,e10) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(143,axiom,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(144,axiom,
op1(e13,e12) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(145,axiom,
op2(e20,e20) != op2(e21,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(146,axiom,
op2(e20,e20) != op2(e22,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(147,axiom,
op2(e20,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(149,axiom,
op2(e21,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(157,axiom,
op2(e20,e22) != op2(e21,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(158,axiom,
op2(e20,e22) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(159,axiom,
op2(e20,e22) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(160,axiom,
op2(e21,e22) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(167,axiom,
op2(e21,e23) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(172,axiom,
op2(e20,e21) != op2(e20,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(179,axiom,
op2(e21,e21) != op2(e21,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(181,axiom,
op2(e22,e20) != op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(182,axiom,
op2(e22,e20) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(183,axiom,
op2(e22,e20) != op2(e22,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(184,axiom,
op2(e22,e21) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(187,axiom,
op2(e23,e20) != op2(e23,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(188,axiom,
op2(e23,e20) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(189,axiom,
op2(e23,e20) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(191,axiom,
op2(e23,e21) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(192,axiom,
op2(e23,e22) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(193,axiom,
e10 != e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(194,axiom,
e10 != e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(195,axiom,
e10 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(196,axiom,
e11 != e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(197,axiom,
e11 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(198,axiom,
e12 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(199,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(200,axiom,
e20 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(201,axiom,
e20 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(202,axiom,
e21 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(203,axiom,
e21 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(204,axiom,
e22 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(221,axiom,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(233,axiom,
( op1(e11,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(238,axiom,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(253,axiom,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
cnf(265,axiom,
( op2(e21,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
cnf(270,axiom,
( op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
cnf(285,axiom,
e10 = op1(op1(e12,e12),e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(287,axiom,
op1(e12,e12) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(288,axiom,
e20 = op2(op2(e22,e22),e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(290,axiom,
op2(e22,e22) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(292,axiom,
h1(e10) = op2(op2(e20,e20),e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(293,axiom,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(294,axiom,
h1(e13) = op2(e20,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(295,axiom,
h2(e12) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(296,axiom,
h2(e10) = op2(op2(e21,e21),e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(297,axiom,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(298,axiom,
h2(e13) = op2(e21,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(300,axiom,
h3(e10) = op2(op2(e22,e22),e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(301,plain,
h3(e10) = op2(e23,e22),
inference('REWRITE',[status(thm)],[300,290,theory(equality)]) ).
cnf(302,axiom,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(303,plain,
h3(e11) = op2(e23,e23),
inference('REWRITE',[status(thm)],[302,290,theory(equality)]) ).
cnf(307,axiom,
h4(e10) = op2(op2(e23,e23),e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
cnf(308,plain,
h4(e10) = op2(h3(e11),e23),
inference('REWRITE',[status(thm)],[307,303,theory(equality)]) ).
cnf(670,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(e13) != e20
| h2(e12) != e21
| h2(e11) != e22
| h2(e10) != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(671,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(e13) != e20
| h2(e11) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[670,298,287,295,theory(equality)]) ).
cnf(953,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| h3(e11) = e20 ),
inference('REWRITE',[status(thm)],[90,303,theory(equality)]) ).
cnf(955,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| h3(e11) = e22 ),
inference('REWRITE',[status(thm)],[94,303,theory(equality)]) ).
cnf(958,plain,
op2(e21,e23) != h3(e11),
inference('REWRITE',[status(thm)],[167,303,theory(equality)]) ).
cnf(960,plain,
op2(e23,e20) != h3(e11),
inference('REWRITE',[status(thm)],[189,303,theory(equality)]) ).
cnf(961,plain,
op2(e23,e21) != h3(e11),
inference('REWRITE',[status(thm)],[191,303,theory(equality)]) ).
cnf(968,plain,
op2(e20,e22) != h3(e10),
inference('REWRITE',[status(thm)],[159,301,theory(equality)]) ).
cnf(970,plain,
op2(e23,e20) != h3(e10),
inference('REWRITE',[status(thm)],[188,301,theory(equality)]) ).
cnf(972,plain,
h3(e10) != h3(e11),
inference('REWRITE',[status(thm)],[192,303,301,theory(equality)]) ).
cnf(976,plain,
( op2(e21,e20) = e21
| h2(e13) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference('REWRITE',[status(thm)],[75,298,theory(equality)]) ).
cnf(977,plain,
( op2(e20,e21) = e21
| h2(e13) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference('REWRITE',[status(thm)],[76,298,theory(equality)]) ).
cnf(978,plain,
( op2(e21,e20) = e22
| h2(e13) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference('REWRITE',[status(thm)],[77,298,theory(equality)]) ).
cnf(979,plain,
( op2(e20,e21) = e22
| h2(e13) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[78,298,theory(equality)]) ).
cnf(980,plain,
( op2(e21,e20) = e23
| h2(e13) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[79,298,theory(equality)]) ).
cnf(981,plain,
( op2(e20,e21) = e23
| h2(e13) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference('REWRITE',[status(thm)],[80,298,theory(equality)]) ).
cnf(987,plain,
h2(e13) != op2(e21,e23),
inference('REWRITE',[status(thm)],[179,298,theory(equality)]) ).
cnf(991,plain,
h2(e10) = op2(h2(e13),e21),
inference('REWRITE',[status(thm)],[296,298,theory(equality)]) ).
cnf(1013,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)) != h2(e10)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e13) != e20
| h2(e11) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[671,991,theory(equality)]) ).
cnf(1018,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference('REWRITE',[status(thm)],[297,298,theory(equality)]) ).
cnf(1040,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)) != h2(e10)
| h2(op1(e13,e13)) != h2(e11)
| h2(e13) != e20
| h2(e11) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[1013,1018,theory(equality)]) ).
cnf(1054,plain,
h1(e13) != op2(e21,e20),
inference('REWRITE',[status(thm)],[145,294,theory(equality)]) ).
cnf(1055,plain,
h1(e13) != op2(e22,e20),
inference('REWRITE',[status(thm)],[146,294,theory(equality)]) ).
cnf(1056,plain,
h1(e13) != op2(e23,e20),
inference('REWRITE',[status(thm)],[147,294,theory(equality)]) ).
cnf(1069,plain,
h1(e10) = op2(h1(e13),e20),
inference('REWRITE',[status(thm)],[292,294,theory(equality)]) ).
cnf(1096,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference('REWRITE',[status(thm)],[293,294,theory(equality)]) ).
cnf(1129,plain,
op2(e20,e22) != e23,
inference('REWRITE',[status(thm)],[158,290,theory(equality)]) ).
cnf(1130,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference('REWRITE',[status(thm)],[51,1129]) ).
cnf(1132,plain,
op2(e21,e22) != e23,
inference('REWRITE',[status(thm)],[160,290,theory(equality)]) ).
cnf(1134,plain,
( op2(e21,e20) = e23
| h2(e13) = e23
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[980,1132]) ).
cnf(1138,plain,
op2(e22,e20) != e23,
inference('REWRITE',[status(thm)],[182,290,theory(equality)]) ).
cnf(1139,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference('REWRITE',[status(thm)],[57,1138]) ).
cnf(1141,plain,
op2(e22,e21) != e23,
inference('REWRITE',[status(thm)],[184,290,theory(equality)]) ).
cnf(1143,plain,
( op2(e20,e21) = e23
| h2(e13) = e23
| op2(e23,e21) = e23 ),
inference('REWRITE',[status(thm)],[981,1141]) ).
cnf(1147,plain,
( h2(e13) = e20
| h3(e11) = e20 ),
inference('REWRITE',[status(thm)],[253,303,201,298,290,theory(equality)]) ).
cnf(1153,plain,
( h2(e13) != e20
| h3(e11) = e21 ),
inference('REWRITE',[status(thm)],[265,303,203,298,290,theory(equality)]) ).
cnf(1155,plain,
( h1(e13) = e22
| h2(e13) = e22 ),
inference('REWRITE',[status(thm)],[270,298,294,290,theory(equality)]) ).
cnf(1156,plain,
h3(e10) = e20,
inference('REWRITE',[status(thm)],[288,301,290,theory(equality)]) ).
cnf(1157,plain,
op2(e23,e22) = e20,
inference('REWRITE',[status(thm)],[301,1156,theory(equality)]) ).
cnf(1161,plain,
op2(e20,e22) != e20,
inference('REWRITE',[status(thm)],[968,1156,theory(equality)]) ).
cnf(1163,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference('REWRITE',[status(thm)],[1130,1161]) ).
cnf(1167,plain,
op2(e23,e20) != e20,
inference('REWRITE',[status(thm)],[970,1156,theory(equality)]) ).
cnf(1168,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[61,1167]) ).
cnf(1173,plain,
h3(e11) != e20,
inference('REWRITE',[status(thm)],[972,1156,theory(equality)]) ).
cnf(1175,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[953,1173]) ).
cnf(1176,plain,
h2(e13) = e20,
inference('REWRITE',[status(thm)],[1147,1173]) ).
cnf(1178,plain,
( op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference('REWRITE',[status(thm)],[976,199,1176,theory(equality)]) ).
cnf(1179,plain,
( op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference('REWRITE',[status(thm)],[977,199,1176,theory(equality)]) ).
cnf(1180,plain,
( op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference('REWRITE',[status(thm)],[978,200,1176,theory(equality)]) ).
cnf(1181,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[979,200,1176,theory(equality)]) ).
cnf(1191,plain,
op2(e21,e23) != e20,
inference('REWRITE',[status(thm)],[987,1176,theory(equality)]) ).
cnf(1193,plain,
( op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[1175,1191]) ).
cnf(1194,plain,
h2(e10) = op2(e20,e21),
inference('REWRITE',[status(thm)],[991,1176,theory(equality)]) ).
cnf(1197,plain,
h2(e10) != op2(e20,e22),
inference('REWRITE',[status(thm)],[172,1194,theory(equality)]) ).
cnf(1203,plain,
( h2(e10) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference('REWRITE',[status(thm)],[1179,1194,theory(equality)]) ).
cnf(1204,plain,
( h2(e10) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[1181,1194,theory(equality)]) ).
cnf(1207,plain,
h2(e11) = h1(e13),
inference('REWRITE',[status(thm)],[1018,294,1176,theory(equality)]) ).
cnf(1214,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h1(e13))
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),e20)
| h2(op1(e11,e10)) != op2(h1(e13),h2(e10))
| h2(op1(e11,e11)) != h1(e11)
| h2(op1(e11,e12)) != op2(h1(e13),e21)
| h2(op1(e11,e13)) != h1(e10)
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != op2(e21,h1(e13))
| h2(op1(e12,e13)) != op2(e21,e20)
| h2(op1(e13,e10)) != op2(e20,h2(e10))
| h2(op1(e13,e11)) != op2(e20,h1(e13))
| h2(op1(e13,e12)) != h2(e10)
| h2(op1(e13,e13)) != h1(e13)
| h1(e13) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[1040,1069,1096,1207,1176,theory(equality)]) ).
cnf(1217,plain,
( op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[1134,201,1176,theory(equality)]) ).
cnf(1218,plain,
( h2(e10) = e23
| op2(e23,e21) = e23 ),
inference('REWRITE',[status(thm)],[1143,201,1194,1176,theory(equality)]) ).
cnf(1219,plain,
h3(e11) = e21,
inference('REWRITE',[status(thm)],[1153,1176,theory(equality)]) ).
cnf(1220,plain,
op2(e23,e23) = e21,
inference('REWRITE',[status(thm)],[303,1219,theory(equality)]) ).
cnf(1221,plain,
h4(e10) = op2(e21,e23),
inference('REWRITE',[status(thm)],[308,1219,theory(equality)]) ).
cnf(1226,plain,
( op2(e21,e20) = e21
| op2(e21,e22) = e21
| h4(e10) = e21 ),
inference('REWRITE',[status(thm)],[1178,1221,theory(equality)]) ).
cnf(1227,plain,
( op2(e21,e20) = e22
| op2(e21,e22) = e22
| h4(e10) = e22 ),
inference('REWRITE',[status(thm)],[1180,1221,theory(equality)]) ).
cnf(1230,plain,
( op2(e21,e20) = e23
| h4(e10) = e23 ),
inference('REWRITE',[status(thm)],[1217,1221,theory(equality)]) ).
cnf(1235,plain,
( op2(e20,e23) = e22
| h4(e10) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[955,202,1221,1219,theory(equality)]) ).
cnf(1239,plain,
h4(e10) != e21,
inference('REWRITE',[status(thm)],[958,1221,1219,theory(equality)]) ).
cnf(1240,plain,
( op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference('REWRITE',[status(thm)],[1226,1239]) ).
cnf(1245,plain,
op2(e23,e20) != e21,
inference('REWRITE',[status(thm)],[960,1219,theory(equality)]) ).
cnf(1247,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[1168,1245]) ).
cnf(1248,plain,
op2(e23,e21) != e21,
inference('REWRITE',[status(thm)],[961,1219,theory(equality)]) ).
cnf(1250,plain,
( h2(e10) = e21
| op2(e22,e21) = e21 ),
inference('REWRITE',[status(thm)],[1203,1248]) ).
cnf(1255,plain,
h1(e13) = e22,
inference('REWRITE',[status(thm)],[1155,200,1176,theory(equality)]) ).
cnf(1257,plain,
op2(e21,e20) != e22,
inference('REWRITE',[status(thm)],[1054,1255,theory(equality)]) ).
cnf(1259,plain,
( op2(e21,e22) = e22
| h4(e10) = e22 ),
inference('REWRITE',[status(thm)],[1227,1257]) ).
cnf(1260,plain,
op2(e22,e20) != e22,
inference('REWRITE',[status(thm)],[1055,1255,theory(equality)]) ).
cnf(1262,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21 ),
inference('REWRITE',[status(thm)],[1139,1260]) ).
cnf(1263,plain,
op2(e23,e20) != e22,
inference('REWRITE',[status(thm)],[1056,1255,theory(equality)]) ).
cnf(1264,plain,
op2(e23,e20) = e23,
inference('REWRITE',[status(thm)],[1247,1263]) ).
cnf(1265,plain,
op2(e21,e20) != e23,
inference('REWRITE',[status(thm)],[149,1264,theory(equality)]) ).
cnf(1266,plain,
h4(e10) = e23,
inference('REWRITE',[status(thm)],[1230,1265]) ).
cnf(1267,plain,
op2(e21,e23) = e23,
inference('REWRITE',[status(thm)],[1221,1266,theory(equality)]) ).
cnf(1270,plain,
( op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[1235,204,1266,theory(equality)]) ).
cnf(1271,plain,
op2(e21,e22) = e22,
inference('REWRITE',[status(thm)],[1259,204,1266,theory(equality)]) ).
cnf(1272,plain,
op2(e20,e22) != e22,
inference('REWRITE',[status(thm)],[157,1271,theory(equality)]) ).
cnf(1273,plain,
op2(e20,e22) = e21,
inference('REWRITE',[status(thm)],[1163,1272]) ).
cnf(1274,plain,
h2(e10) != e21,
inference('REWRITE',[status(thm)],[1197,1273,theory(equality)]) ).
cnf(1276,plain,
op2(e22,e21) = e21,
inference('REWRITE',[status(thm)],[1250,1274]) ).
cnf(1277,plain,
op2(e22,e20) != e21,
inference('REWRITE',[status(thm)],[181,1276,theory(equality)]) ).
cnf(1278,plain,
op2(e22,e20) = e20,
inference('REWRITE',[status(thm)],[1262,1277]) ).
cnf(1279,plain,
op2(e22,e23) != e20,
inference('REWRITE',[status(thm)],[183,1278,theory(equality)]) ).
cnf(1280,plain,
op2(e20,e23) = e20,
inference('REWRITE',[status(thm)],[1193,1279]) ).
cnf(1281,plain,
op2(e22,e23) = e22,
inference('REWRITE',[status(thm)],[1270,200,1280,theory(equality)]) ).
cnf(1282,plain,
( h2(e10) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[1204,202,1276,theory(equality)]) ).
cnf(1283,plain,
op2(e21,e20) = e21,
inference('REWRITE',[status(thm)],[1240,202,1271,theory(equality)]) ).
cnf(1284,plain,
op2(e23,e21) != e23,
inference('REWRITE',[status(thm)],[187,1264,theory(equality)]) ).
cnf(1285,plain,
h2(e10) = e23,
inference('REWRITE',[status(thm)],[1218,1284]) ).
cnf(1287,plain,
op2(e23,e21) = e22,
inference('REWRITE',[status(thm)],[1282,204,1285,theory(equality)]) ).
cnf(1288,plain,
h1(e10) = e20,
inference('REWRITE',[status(thm)],[1069,1278,1255,theory(equality)]) ).
cnf(1289,plain,
h1(e11) = e23,
inference('REWRITE',[status(thm)],[1096,290,1255,theory(equality)]) ).
cnf(1290,plain,
h2(e11) = e22,
inference('REWRITE',[status(thm)],[1207,1255,theory(equality)]) ).
cnf(1291,plain,
( h2(op1(e10,e10)) != e21
| h2(op1(e10,e11)) != e20
| h2(op1(e10,e12)) != e22
| h2(op1(e10,e13)) != e23
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != e21
| h2(op1(e11,e13)) != e20
| h2(op1(e12,e10)) != e23
| h2(op1(e12,e11)) != e22
| h2(op1(e12,e13)) != e21
| h2(op1(e13,e10)) != e20
| h2(op1(e13,e11)) != e21
| h2(op1(e13,e12)) != e23
| h2(op1(e13,e13)) != e22 ),
inference('REWRITE',[status(thm)],[1214,1273,1280,1283,1271,1267,1288,1276,1289,1281,1264,1287,1157,1220,1285,1255,theory(equality)]) ).
cnf(1299,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[110,287,theory(equality)]) ).
cnf(1300,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference('REWRITE',[status(thm)],[3,1299]) ).
cnf(1302,plain,
op1(e11,e12) != e13,
inference('REWRITE',[status(thm)],[112,287,theory(equality)]) ).
cnf(1304,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[31,1302]) ).
cnf(1308,plain,
op1(e12,e10) != e13,
inference('REWRITE',[status(thm)],[134,287,theory(equality)]) ).
cnf(1309,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference('REWRITE',[status(thm)],[9,1308]) ).
cnf(1311,plain,
op1(e12,e11) != e13,
inference('REWRITE',[status(thm)],[136,287,theory(equality)]) ).
cnf(1313,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e11) = e13 ),
inference('REWRITE',[status(thm)],[32,1311]) ).
cnf(1317,plain,
( op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference('REWRITE',[status(thm)],[221,195,287,theory(equality)]) ).
cnf(1323,plain,
( op1(e11,e11) != e10
| op1(e13,e13) = e11 ),
inference('REWRITE',[status(thm)],[233,197,287,theory(equality)]) ).
cnf(1325,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference('REWRITE',[status(thm)],[238,287,theory(equality)]) ).
cnf(1326,plain,
op1(e13,e12) = e10,
inference('REWRITE',[status(thm)],[285,287,theory(equality)]) ).
cnf(1329,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[111,1326,theory(equality)]) ).
cnf(1331,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference('REWRITE',[status(thm)],[1300,1329]) ).
cnf(1335,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[140,1326,theory(equality)]) ).
cnf(1336,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[13,1335]) ).
cnf(1341,plain,
op1(e13,e13) != e10,
inference('REWRITE',[status(thm)],[144,1326,theory(equality)]) ).
cnf(1343,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[42,1341]) ).
cnf(1344,plain,
op1(e11,e11) = e10,
inference('REWRITE',[status(thm)],[1317,1341]) ).
cnf(1345,plain,
( op1(e11,e10) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference('REWRITE',[status(thm)],[27,193,1344,theory(equality)]) ).
cnf(1346,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference('REWRITE',[status(thm)],[28,193,1344,theory(equality)]) ).
cnf(1347,plain,
( op1(e11,e10) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference('REWRITE',[status(thm)],[29,194,1344,theory(equality)]) ).
cnf(1348,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference('REWRITE',[status(thm)],[30,194,1344,theory(equality)]) ).
cnf(1358,plain,
op1(e11,e13) != e10,
inference('REWRITE',[status(thm)],[131,1344,theory(equality)]) ).
cnf(1360,plain,
( op1(e10,e13) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[1343,1358]) ).
cnf(1362,plain,
( op1(e11,e10) = e13
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[1304,195,1344,theory(equality)]) ).
cnf(1363,plain,
( op1(e10,e11) = e13
| op1(e13,e11) = e13 ),
inference('REWRITE',[status(thm)],[1313,195,1344,theory(equality)]) ).
cnf(1364,plain,
op1(e13,e13) = e11,
inference('REWRITE',[status(thm)],[1323,1344,theory(equality)]) ).
cnf(1365,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[46,196,1364,theory(equality)]) ).
cnf(1369,plain,
op1(e11,e13) != e11,
inference('REWRITE',[status(thm)],[119,1364,theory(equality)]) ).
cnf(1370,plain,
( op1(e11,e10) = e11
| op1(e11,e12) = e11 ),
inference('REWRITE',[status(thm)],[1345,1369]) ).
cnf(1375,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[141,1364,theory(equality)]) ).
cnf(1377,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[1336,1375]) ).
cnf(1378,plain,
op1(e13,e11) != e11,
inference('REWRITE',[status(thm)],[143,1364,theory(equality)]) ).
cnf(1380,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference('REWRITE',[status(thm)],[1346,1378]) ).
cnf(1384,plain,
op1(e10,e10) = e12,
inference('REWRITE',[status(thm)],[1325,194,1344,theory(equality)]) ).
cnf(1385,plain,
op1(e11,e10) != e12,
inference('REWRITE',[status(thm)],[97,1384,theory(equality)]) ).
cnf(1386,plain,
( op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference('REWRITE',[status(thm)],[1347,1385]) ).
cnf(1388,plain,
op1(e12,e10) != e12,
inference('REWRITE',[status(thm)],[98,1384,theory(equality)]) ).
cnf(1390,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11 ),
inference('REWRITE',[status(thm)],[1309,1388]) ).
cnf(1391,plain,
op1(e13,e10) != e12,
inference('REWRITE',[status(thm)],[99,1384,theory(equality)]) ).
cnf(1392,plain,
op1(e13,e10) = e13,
inference('REWRITE',[status(thm)],[1377,1391]) ).
cnf(1393,plain,
op1(e11,e10) != e13,
inference('REWRITE',[status(thm)],[101,1392,theory(equality)]) ).
cnf(1394,plain,
op1(e11,e13) = e13,
inference('REWRITE',[status(thm)],[1362,1393]) ).
cnf(1397,plain,
( op1(e10,e13) = e12
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[1365,198,1394,theory(equality)]) ).
cnf(1398,plain,
op1(e11,e12) = e12,
inference('REWRITE',[status(thm)],[1386,198,1394,theory(equality)]) ).
cnf(1399,plain,
op1(e10,e12) != e12,
inference('REWRITE',[status(thm)],[109,1398,theory(equality)]) ).
cnf(1400,plain,
op1(e10,e12) = e11,
inference('REWRITE',[status(thm)],[1331,1399]) ).
cnf(1401,plain,
op1(e10,e11) != e11,
inference('REWRITE',[status(thm)],[124,1400,theory(equality)]) ).
cnf(1403,plain,
op1(e12,e11) = e11,
inference('REWRITE',[status(thm)],[1380,1401]) ).
cnf(1404,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[133,1403,theory(equality)]) ).
cnf(1405,plain,
op1(e12,e10) = e10,
inference('REWRITE',[status(thm)],[1390,1404]) ).
cnf(1406,plain,
op1(e12,e13) != e10,
inference('REWRITE',[status(thm)],[135,1405,theory(equality)]) ).
cnf(1407,plain,
op1(e10,e13) = e10,
inference('REWRITE',[status(thm)],[1360,1406]) ).
cnf(1408,plain,
op1(e12,e13) = e12,
inference('REWRITE',[status(thm)],[1397,194,1407,theory(equality)]) ).
cnf(1409,plain,
( op1(e10,e11) = e12
| op1(e13,e11) = e12 ),
inference('REWRITE',[status(thm)],[1348,196,1403,theory(equality)]) ).
cnf(1410,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[1370,196,1398,theory(equality)]) ).
cnf(1411,plain,
op1(e13,e11) != e13,
inference('REWRITE',[status(thm)],[139,1392,theory(equality)]) ).
cnf(1412,plain,
op1(e10,e11) = e13,
inference('REWRITE',[status(thm)],[1363,1411]) ).
cnf(1413,plain,
op1(e13,e11) = e12,
inference('REWRITE',[status(thm)],[1409,198,1412,theory(equality)]) ).
cnf(1414,plain,
$false,
inference('REWRITE',[status(thm)],[1291,1364,1413,1392,1408,1403,1405,1394,1398,1344,1410,1285,1407,1290,1400,1176,1412,295,1384,1326,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Wed Jun 8 07:38:36 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.14/0.36 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 *
% 0.14/0.37 *
% 0.14/0.37 #<PACKAGE "SNARK-USER">
% 0.14/0.37 *
% 0.14/0.37 SNARK-TPTP-OPTIONS
% 0.14/0.37 *
% 0.14/0.37 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.37 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.37 (USE-FACTORING :POS)
% 0.14/0.37 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.37 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.37 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.37 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.37 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.37 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.37 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.37 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.37 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.37 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.37 *
% 0.14/0.37 "."
% 0.14/0.37 *
% 0.14/0.37 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T07:38:36
% 0.14/0.37 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-08T07:38:36
% 1.66/1.85
% 1.66/1.85
% 1.66/1.85 #||
% 1.66/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.85 % SZS output start Refutation
% See solution above
% 1.66/1.87 ||#
% 1.66/1.87
% 1.66/1.87 ; Summary of computation:
% 1.66/1.87 ; 2429 formulas have been input or derived (from 1 formulas).
% 1.66/1.87 ; 1414 (58%) were retained. Of these,
% 1.66/1.87 ; 1337 (95%) were simplified or subsumed later,
% 1.66/1.87 ; 77 ( 5%) are still being kept.
% 1.66/1.87 ;
% 1.66/1.87 ; Run time in seconds excluding printing time:
% 1.66/1.87 ; 0.027 2% Read assertion file (1 call)
% 1.66/1.87 ; 0.374 25% Assert (18 calls)
% 1.66/1.87 ; 0.164 11% Process new row (2,056 calls)
% 1.66/1.87 ; 0.003 0% Condensing (842 calls)
% 1.66/1.87 ; 0.108 7% Forward subsumption (842 calls)
% 1.66/1.87 ; 0.130 9% Backward subsumption (760 calls)
% 1.66/1.87 ; 0.150 10% Clause clause subsumption (2,316 calls)
% 1.66/1.87 ; 0.446 30% Forward simplification (2,056 calls)
% 1.66/1.87 ; 0.057 4% Backward simplification (1,048 calls)
% 1.66/1.87 ; 0.001 0% Ordering (70 calls)
% 1.66/1.87 ; 0.001 0% Sortal reasoning (32 calls)
% 1.66/1.87 ; 0.003 0% Purity testing (1 call)
% 1.66/1.87 ; 0.014 1% Other
% 1.66/1.87 ; 1.478 Total
% 1.66/1.87 ; 1.497 Real time
% 1.66/1.87 ;
% 1.66/1.87 ; Term-hash-array has 661 terms in all.
% 1.66/1.87 ; Feature-vector-row-index has 0 entries (192 at peak, 760 added, 760 deleted).
% 1.66/1.87 ; Feature-vector-row-index has 1 node (1,388 at peak, 7,223 added, 7,222 deleted).
% 1.66/1.87 ; Retrieved 1,455 possibly forward subsuming rows in 842 calls.
% 1.66/1.87 ; Retrieved 1,163 possibly backward subsumed rows in 760 calls.
% 1.66/1.87 ; Path-index has 132 entries (498 at peak, 1,305 added, 1,173 deleted).
% 1.66/1.87 ; Path-index has 166 nodes (270 at peak, 618 added, 452 deleted).
% 1.66/1.87 ; Trie-index has 132 entries (498 at peak, 1,305 added, 1,173 deleted).
% 1.66/1.87 ; Trie-index has 217 nodes (1,017 at peak, 2,852 added, 2,635 deleted).
% 1.66/1.87 ; Retrieved 19,245 generalization terms in 118,086 calls.
% 1.66/1.87 ; Retrieved 287 instance terms in 287 calls.
% 1.66/1.87 ;
% 1.66/1.87 ; The agenda of backward simplifiable rows to process has 7 entries:
% 1.66/1.87 ; 7 with value 0
% 1.66/1.87 ; The agenda of input rows to give has 76 entries:
% 1.66/1.87 ; 28 with value 4 16 with value 6 32 with value 7
% 1.66/1.87 Evaluation took:
% 1.66/1.87 1.497 seconds of real time
% 1.66/1.87 1.463 seconds of user run time
% 1.66/1.87 0.033868 seconds of system run time
% 1.66/1.87 [Run times include 0.032 seconds GC run time.]
% 1.66/1.87 0 calls to %EVAL
% 1.66/1.87 0 page faults and
% 1.66/1.87 135,673,096 bytes consed.
% 1.66/1.87 :PROOF-FOUND
% 1.66/1.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T07:38:38
% 1.66/1.87 :PROOF-FOUND
% 1.66/1.87 *
%------------------------------------------------------------------------------