TSTP Solution File: ALG110+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 2.18s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 98
% Syntax : Number of clauses : 254 ( 167 unt; 78 nHn; 254 RR)
% Number of literals : 541 ( 540 equ; 252 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(8,axiom,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = 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(10,axiom,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = 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(15,axiom,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(23,axiom,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(26,axiom,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
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(34,axiom,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(55,axiom,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(56,axiom,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = 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(58,axiom,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = 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(63,axiom,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(71,axiom,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(74,axiom,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
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(82,axiom,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(99,axiom,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(100,axiom,
op1(e11,e10) != op1(e12,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(105,axiom,
op1(e10,e11) != op1(e13,e11),
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(112,axiom,
op1(e11,e12) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(113,axiom,
op1(e11,e12) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(114,axiom,
op1(e12,e12) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(115,axiom,
op1(e10,e13) != op1(e11,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(117,axiom,
op1(e10,e13) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(118,axiom,
op1(e11,e13) != op1(e12,e13),
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(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(137,axiom,
op1(e12,e11) != op1(e12,e13),
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(147,axiom,
op2(e20,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(148,axiom,
op2(e21,e20) != op2(e22,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(153,axiom,
op2(e20,e21) != op2(e23,e21),
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(160,axiom,
op2(e21,e22) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(161,axiom,
op2(e21,e22) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(162,axiom,
op2(e22,e22) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(163,axiom,
op2(e20,e23) != op2(e21,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(165,axiom,
op2(e20,e23) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(166,axiom,
op2(e21,e23) != op2(e22,e23),
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(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(185,axiom,
op2(e22,e21) != op2(e22,e23),
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(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(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,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(229,axiom,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(237,axiom,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(245,axiom,
( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(253,axiom,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
cnf(261,axiom,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
cnf(269,axiom,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
cnf(277,axiom,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
cnf(285,axiom,
e10 = op1(op1(e12,e12),op1(e12,e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(286,axiom,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(287,plain,
e11 = op1(e10,op1(e12,e12)),
inference('REWRITE',[status(thm)],[286,285,theory(equality)]) ).
cnf(288,axiom,
op1(e12,e12) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(289,axiom,
e20 = op2(op2(e22,e22),op2(e22,e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(290,axiom,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(291,plain,
e21 = op2(e20,op2(e22,e22)),
inference('REWRITE',[status(thm)],[290,289,theory(equality)]) ).
cnf(292,axiom,
op2(e22,e22) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(297,axiom,
h1(e13) = op2(e20,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(298,axiom,
h2(e12) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(299,axiom,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(300,axiom,
h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(301,plain,
h2(e11) = op2(h2(e10),op2(e21,e21)),
inference('REWRITE',[status(thm)],[300,299,theory(equality)]) ).
cnf(302,axiom,
h2(e13) = op2(e21,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(304,axiom,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(305,plain,
h3(e10) = op2(e23,e23),
inference('REWRITE',[status(thm)],[304,292,theory(equality)]) ).
cnf(306,axiom,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(307,plain,
h3(e11) = op2(h3(e10),e23),
inference('REWRITE',[status(thm)],[306,305,292,theory(equality)]) ).
cnf(674,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(675,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)],[674,302,288,298,theory(equality)]) ).
cnf(965,plain,
op2(e20,e23) != h3(e10),
inference('REWRITE',[status(thm)],[165,305,theory(equality)]) ).
cnf(966,plain,
op2(e21,e23) != h3(e10),
inference('REWRITE',[status(thm)],[167,305,theory(equality)]) ).
cnf(968,plain,
op2(e23,e20) != h3(e10),
inference('REWRITE',[status(thm)],[189,305,theory(equality)]) ).
cnf(969,plain,
op2(e23,e21) != h3(e10),
inference('REWRITE',[status(thm)],[191,305,theory(equality)]) ).
cnf(970,plain,
op2(e23,e22) != h3(e10),
inference('REWRITE',[status(thm)],[192,305,theory(equality)]) ).
cnf(973,plain,
( op2(e20,e21) = e20
| h2(e13) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference('REWRITE',[status(thm)],[74,302,theory(equality)]) ).
cnf(977,plain,
( op2(e20,e21) = e22
| h2(e13) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[78,302,theory(equality)]) ).
cnf(986,plain,
h2(e10) = op2(h2(e13),h2(e13)),
inference('REWRITE',[status(thm)],[299,302,theory(equality)]) ).
cnf(1008,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)) != h2(e10)
| h2(e13) != e20
| h2(e11) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[675,986,theory(equality)]) ).
cnf(1014,plain,
h2(e11) = op2(h2(e10),h2(e13)),
inference('REWRITE',[status(thm)],[301,302,theory(equality)]) ).
cnf(1036,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)) != h2(e11)
| 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)) != h2(e10)
| h2(e13) != e20
| h2(e11) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[1008,1014,theory(equality)]) ).
cnf(1049,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[71,297,theory(equality)]) ).
cnf(1053,plain,
h1(e13) != op2(e23,e20),
inference('REWRITE',[status(thm)],[147,297,theory(equality)]) ).
cnf(1114,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference('REWRITE',[status(thm)],[82,201,292,theory(equality)]) ).
cnf(1119,plain,
op2(e20,e22) != e23,
inference('REWRITE',[status(thm)],[158,292,theory(equality)]) ).
cnf(1121,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[1049,1119]) ).
cnf(1122,plain,
op2(e21,e22) != e23,
inference('REWRITE',[status(thm)],[160,292,theory(equality)]) ).
cnf(1123,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference('REWRITE',[status(thm)],[55,1122]) ).
cnf(1125,plain,
op2(e23,e22) != e23,
inference('REWRITE',[status(thm)],[162,292,theory(equality)]) ).
cnf(1126,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference('REWRITE',[status(thm)],[63,1125]) ).
cnf(1127,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference('REWRITE',[status(thm)],[269,1125]) ).
cnf(1132,plain,
op2(e22,e20) != e23,
inference('REWRITE',[status(thm)],[182,292,theory(equality)]) ).
cnf(1133,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference('REWRITE',[status(thm)],[57,1132]) ).
cnf(1135,plain,
op2(e22,e21) != e23,
inference('REWRITE',[status(thm)],[184,292,theory(equality)]) ).
cnf(1136,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[58,1135]) ).
cnf(1141,plain,
h3(e10) = e20,
inference('REWRITE',[status(thm)],[289,305,292,theory(equality)]) ).
cnf(1142,plain,
op2(e23,e23) = e20,
inference('REWRITE',[status(thm)],[305,1141,theory(equality)]) ).
cnf(1143,plain,
h3(e11) = op2(e20,e23),
inference('REWRITE',[status(thm)],[307,1141,theory(equality)]) ).
cnf(1145,plain,
h3(e11) != op2(e21,e23),
inference('REWRITE',[status(thm)],[163,1143,theory(equality)]) ).
cnf(1153,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[277,1143,theory(equality)]) ).
cnf(1159,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[1121,1143,theory(equality)]) ).
cnf(1207,plain,
h3(e11) != e20,
inference('REWRITE',[status(thm)],[965,1143,1141,theory(equality)]) ).
cnf(1209,plain,
( op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[1153,1207]) ).
cnf(1212,plain,
op2(e21,e23) != e20,
inference('REWRITE',[status(thm)],[966,1141,theory(equality)]) ).
cnf(1213,plain,
( op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[56,1212]) ).
cnf(1218,plain,
op2(e23,e20) != e20,
inference('REWRITE',[status(thm)],[968,1141,theory(equality)]) ).
cnf(1219,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[61,1218]) ).
cnf(1221,plain,
op2(e23,e21) != e20,
inference('REWRITE',[status(thm)],[969,1141,theory(equality)]) ).
cnf(1223,plain,
( op2(e20,e21) = e20
| h2(e13) = e20
| op2(e22,e21) = e20 ),
inference('REWRITE',[status(thm)],[973,1221]) ).
cnf(1224,plain,
op2(e23,e22) != e20,
inference('REWRITE',[status(thm)],[970,1141,theory(equality)]) ).
cnf(1225,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference('REWRITE',[status(thm)],[1114,1224]) ).
cnf(1226,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference('REWRITE',[status(thm)],[1126,1224]) ).
cnf(1229,plain,
h3(e11) = e21,
inference('REWRITE',[status(thm)],[291,1143,292,theory(equality)]) ).
cnf(1230,plain,
op2(e20,e23) = e21,
inference('REWRITE',[status(thm)],[1143,1229,theory(equality)]) ).
cnf(1231,plain,
op2(e21,e23) != e21,
inference('REWRITE',[status(thm)],[1145,1229,theory(equality)]) ).
cnf(1233,plain,
op2(e22,e23) = e22,
inference('REWRITE',[status(thm)],[1209,1231]) ).
cnf(1234,plain,
op2(e21,e23) != e22,
inference('REWRITE',[status(thm)],[166,1233,theory(equality)]) ).
cnf(1236,plain,
op2(e22,e20) != e22,
inference('REWRITE',[status(thm)],[183,1233,theory(equality)]) ).
cnf(1237,plain,
( op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[253,1236]) ).
cnf(1240,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21 ),
inference('REWRITE',[status(thm)],[1133,1236]) ).
cnf(1241,plain,
op2(e22,e21) != e22,
inference('REWRITE',[status(thm)],[185,1233,theory(equality)]) ).
cnf(1242,plain,
( op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference('REWRITE',[status(thm)],[261,1241]) ).
cnf(1244,plain,
( op2(e20,e21) = e22
| h2(e13) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[977,1241]) ).
cnf(1245,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21 ),
inference('REWRITE',[status(thm)],[1136,1241]) ).
cnf(1247,plain,
op2(e21,e23) = e23,
inference('REWRITE',[status(thm)],[1213,1234,1231]) ).
cnf(1264,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference('REWRITE',[status(thm)],[1159,203,1229,theory(equality)]) ).
cnf(1269,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference('REWRITE',[status(thm)],[34,195,288,theory(equality)]) ).
cnf(1274,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[110,288,theory(equality)]) ).
cnf(1276,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[23,1274]) ).
cnf(1277,plain,
op1(e11,e12) != e13,
inference('REWRITE',[status(thm)],[112,288,theory(equality)]) ).
cnf(1278,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference('REWRITE',[status(thm)],[7,1277]) ).
cnf(1280,plain,
op1(e13,e12) != e13,
inference('REWRITE',[status(thm)],[114,288,theory(equality)]) ).
cnf(1281,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[15,1280]) ).
cnf(1283,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference('REWRITE',[status(thm)],[237,1280]) ).
cnf(1287,plain,
op1(e12,e10) != e13,
inference('REWRITE',[status(thm)],[134,288,theory(equality)]) ).
cnf(1288,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference('REWRITE',[status(thm)],[9,1287]) ).
cnf(1290,plain,
op1(e12,e11) != e13,
inference('REWRITE',[status(thm)],[136,288,theory(equality)]) ).
cnf(1291,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[10,1290]) ).
cnf(1296,plain,
op1(e13,e13) = e10,
inference('REWRITE',[status(thm)],[285,288,theory(equality)]) ).
cnf(1301,plain,
op1(e10,e13) != e10,
inference('REWRITE',[status(thm)],[117,1296,theory(equality)]) ).
cnf(1304,plain,
( op1(e11,e13) = e11
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[245,1301]) ).
cnf(1306,plain,
op1(e11,e13) != e10,
inference('REWRITE',[status(thm)],[119,1296,theory(equality)]) ).
cnf(1307,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[8,1306]) ).
cnf(1312,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[141,1296,theory(equality)]) ).
cnf(1313,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[13,1312]) ).
cnf(1315,plain,
op1(e13,e11) != e10,
inference('REWRITE',[status(thm)],[143,1296,theory(equality)]) ).
cnf(1317,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference('REWRITE',[status(thm)],[26,1315]) ).
cnf(1318,plain,
op1(e13,e12) != e10,
inference('REWRITE',[status(thm)],[144,1296,theory(equality)]) ).
cnf(1319,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference('REWRITE',[status(thm)],[1269,1318]) ).
cnf(1320,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[1281,1318]) ).
cnf(1335,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)) != h2(e11)
| 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(e13) != e20
| h2(e11) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[1036,1296,theory(equality)]) ).
cnf(1362,plain,
op1(e10,e13) = e11,
inference('REWRITE',[status(thm)],[287,288,theory(equality)]) ).
cnf(1364,plain,
op1(e11,e13) != e11,
inference('REWRITE',[status(thm)],[115,1362,theory(equality)]) ).
cnf(1366,plain,
op1(e12,e13) = e12,
inference('REWRITE',[status(thm)],[1304,1364]) ).
cnf(1367,plain,
op1(e11,e13) != e12,
inference('REWRITE',[status(thm)],[118,1366,theory(equality)]) ).
cnf(1369,plain,
op1(e12,e10) != e12,
inference('REWRITE',[status(thm)],[135,1366,theory(equality)]) ).
cnf(1371,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[221,1369]) ).
cnf(1373,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11 ),
inference('REWRITE',[status(thm)],[1288,1369]) ).
cnf(1374,plain,
op1(e12,e11) != e12,
inference('REWRITE',[status(thm)],[137,1366,theory(equality)]) ).
cnf(1375,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e13,e11) = e12 ),
inference('REWRITE',[status(thm)],[30,1374]) ).
cnf(1376,plain,
( op1(e10,e11) = e10
| op1(e13,e11) = e13 ),
inference('REWRITE',[status(thm)],[229,1374]) ).
cnf(1378,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference('REWRITE',[status(thm)],[1291,1374]) ).
cnf(1380,plain,
op1(e11,e13) = e13,
inference('REWRITE',[status(thm)],[1307,1367,1364]) ).
cnf(1396,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference('REWRITE',[status(thm)],[1276,197,1362,theory(equality)]) ).
cnf(1411,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(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(e13) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| e21 != 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(e13) != e20
| h2(e11) != e22
| h2(e10) != e23 ),
inference('REWRITE',[status(thm)],[1335,298,1366,1380,1362,theory(equality)]) ).
cnf(1442,plain,
op2(e20,e22) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1127,1225,theory(equality)]),199]) ).
cnf(1443,plain,
op2(e21,e22) != e20,
inference('REWRITE',[status(thm)],[157,1442,theory(equality)]) ).
cnf(1444,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference('REWRITE',[status(thm)],[1123,1443]) ).
cnf(1446,plain,
op2(e20,e21) != e20,
inference('REWRITE',[status(thm)],[172,1442,theory(equality)]) ).
cnf(1447,plain,
( h2(e13) = e20
| op2(e22,e21) = e20 ),
inference('REWRITE',[status(thm)],[1223,1446]) ).
cnf(1448,plain,
op2(e23,e21) = e23,
inference('REWRITE',[status(thm)],[1242,1446]) ).
cnf(1449,plain,
op2(e20,e21) != e23,
inference('REWRITE',[status(thm)],[153,1448,theory(equality)]) ).
cnf(1450,plain,
h1(e13) = e23,
inference('REWRITE',[status(thm)],[1264,1449]) ).
cnf(1451,plain,
op2(e20,e20) = e23,
inference('REWRITE',[status(thm)],[297,1450,theory(equality)]) ).
cnf(1452,plain,
op2(e23,e20) != e23,
inference('REWRITE',[status(thm)],[1053,1450,theory(equality)]) ).
cnf(1453,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e22 ),
inference('REWRITE',[status(thm)],[1219,1452]) ).
cnf(1454,plain,
op2(e21,e20) = e21,
inference('REWRITE',[status(thm)],[1237,1452]) ).
cnf(1455,plain,
op2(e22,e20) != e21,
inference('REWRITE',[status(thm)],[148,1454,theory(equality)]) ).
cnf(1456,plain,
op2(e22,e20) = e20,
inference('REWRITE',[status(thm)],[1240,1455]) ).
cnf(1457,plain,
op2(e22,e21) != e20,
inference('REWRITE',[status(thm)],[181,1456,theory(equality)]) ).
cnf(1458,plain,
op2(e22,e21) = e21,
inference('REWRITE',[status(thm)],[1245,1457]) ).
cnf(1461,plain,
h2(e13) = e20,
inference('REWRITE',[status(thm)],[1447,1457]) ).
cnf(1463,plain,
h2(e10) = e23,
inference('REWRITE',[status(thm)],[986,1451,1461,theory(equality)]) ).
cnf(1464,plain,
h2(e11) = op2(e23,e20),
inference('REWRITE',[status(thm)],[1014,1463,1461,theory(equality)]) ).
cnf(1465,plain,
h2(e11) != op2(e23,e22),
inference('REWRITE',[status(thm)],[188,1464,theory(equality)]) ).
cnf(1468,plain,
( h2(e11) = e21
| h2(e11) = e22 ),
inference('REWRITE',[status(thm)],[1453,1464,theory(equality)]) ).
cnf(1469,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != op2(e23,h2(e11))
| h2(op1(e10,e12)) != e23
| h2(op1(e11,e10)) != op2(h2(e11),e23)
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| e20 != op2(h2(e11),e20)
| h2(op1(e12,e10)) != e23
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e13,e10)) != e21
| h2(op1(e13,e11)) != op2(e20,h2(e11))
| h2(op1(e13,e12)) != op2(e20,e21)
| h2(e11) != e22 ),
inference('REWRITE',[status(thm)],[1411,1230,1454,1247,1448,1142,1463,1461,theory(equality)]) ).
cnf(1470,plain,
h2(e11) != e21,
inference('REWRITE',[status(thm)],[149,1464,1454,theory(equality)]) ).
cnf(1471,plain,
h2(e11) = e22,
inference('REWRITE',[status(thm)],[1468,1470]) ).
cnf(1473,plain,
op2(e23,e22) != e22,
inference('REWRITE',[status(thm)],[1465,1471,theory(equality)]) ).
cnf(1474,plain,
op2(e23,e22) = e21,
inference('REWRITE',[status(thm)],[1226,1473]) ).
cnf(1475,plain,
op2(e21,e22) != e21,
inference('REWRITE',[status(thm)],[161,1474,theory(equality)]) ).
cnf(1476,plain,
op2(e21,e22) = e22,
inference('REWRITE',[status(thm)],[1444,1475]) ).
cnf(1477,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != e21
| h2(op1(e10,e12)) != e23
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != e21
| h2(op1(e12,e10)) != e23
| h2(op1(e12,e11)) != e22
| h2(op1(e13,e10)) != e21
| h2(op1(e13,e11)) != e20
| h2(op1(e13,e12)) != op2(e20,e21) ),
inference('REWRITE',[status(thm)],[1469,1442,1476,1456,1458,292,1233,1474,1471,theory(equality)]) ).
cnf(1482,plain,
op2(e20,e21) = e22,
inference('REWRITE',[status(thm)],[1244,204,200,1461,1448,theory(equality)]) ).
cnf(1483,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != e21
| h2(op1(e10,e12)) != e23
| h2(op1(e11,e10)) != e22
| h2(op1(e11,e11)) != e23
| h2(op1(e11,e12)) != e21
| h2(op1(e12,e10)) != e23
| h2(op1(e12,e11)) != e22
| h2(op1(e13,e10)) != e21
| h2(op1(e13,e11)) != e20
| h2(op1(e13,e12)) != e22 ),
inference('REWRITE',[status(thm)],[1477,1482,theory(equality)]) ).
cnf(1490,plain,
op1(e10,e12) = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1283,1319,theory(equality)]),193]) ).
cnf(1491,plain,
op1(e11,e12) != e10,
inference('REWRITE',[status(thm)],[109,1490,theory(equality)]) ).
cnf(1492,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference('REWRITE',[status(thm)],[1278,1491]) ).
cnf(1497,plain,
op1(e10,e11) != e10,
inference('REWRITE',[status(thm)],[124,1490,theory(equality)]) ).
cnf(1498,plain,
( op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference('REWRITE',[status(thm)],[1317,1497]) ).
cnf(1499,plain,
op1(e13,e11) = e13,
inference('REWRITE',[status(thm)],[1376,1497]) ).
cnf(1500,plain,
op1(e10,e11) != e13,
inference('REWRITE',[status(thm)],[105,1499,theory(equality)]) ).
cnf(1501,plain,
op1(e10,e10) = e13,
inference('REWRITE',[status(thm)],[1396,1500]) ).
cnf(1502,plain,
op1(e13,e10) != e13,
inference('REWRITE',[status(thm)],[99,1501,theory(equality)]) ).
cnf(1503,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12 ),
inference('REWRITE',[status(thm)],[1313,1502]) ).
cnf(1504,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[1371,1502]) ).
cnf(1505,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[100,1504,theory(equality)]) ).
cnf(1506,plain,
op1(e12,e10) = e10,
inference('REWRITE',[status(thm)],[1373,1505]) ).
cnf(1507,plain,
op1(e12,e11) != e10,
inference('REWRITE',[status(thm)],[133,1506,theory(equality)]) ).
cnf(1508,plain,
op1(e12,e11) = e11,
inference('REWRITE',[status(thm)],[1378,1507]) ).
cnf(1511,plain,
op1(e11,e11) = e10,
inference('REWRITE',[status(thm)],[1498,1507]) ).
cnf(1512,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[101,1504,theory(equality)]) ).
cnf(1513,plain,
op1(e13,e10) = e12,
inference('REWRITE',[status(thm)],[1503,1512]) ).
cnf(1514,plain,
op1(e13,e12) != e12,
inference('REWRITE',[status(thm)],[140,1513,theory(equality)]) ).
cnf(1515,plain,
op1(e13,e12) = e11,
inference('REWRITE',[status(thm)],[1320,1514]) ).
cnf(1516,plain,
op1(e11,e12) != e11,
inference('REWRITE',[status(thm)],[113,1515,theory(equality)]) ).
cnf(1517,plain,
op1(e11,e12) = e12,
inference('REWRITE',[status(thm)],[1492,1516]) ).
cnf(1518,plain,
op1(e10,e11) = e12,
inference('REWRITE',[status(thm)],[1375,198,194,1511,1499,theory(equality)]) ).
cnf(1519,plain,
$false,
inference('REWRITE',[status(thm)],[1483,1515,1499,1513,1508,1506,1517,1511,1471,1504,1463,298,1518,1461,1501,1490,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 12:27:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T12:27:25
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-08T12:27:25
% 1.97/2.18
% 1.97/2.18
% 1.97/2.18 #||
% 1.97/2.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/2.18 % SZS output start Refutation
% See solution above
% 1.97/2.21 ||#
% 1.97/2.21
% 1.97/2.21 ; Summary of computation:
% 1.97/2.21 ; 2590 formulas have been input or derived (from 161 formulas).
% 1.97/2.21 ; 1519 (59%) were retained. Of these,
% 1.97/2.21 ; 1442 (95%) were simplified or subsumed later,
% 1.97/2.21 ; 77 ( 5%) are still being kept.
% 1.97/2.21 ;
% 1.97/2.21 ; Run time in seconds excluding printing time:
% 1.97/2.21 ; 0.047 3% Read assertion file (1 call)
% 1.97/2.21 ; 0.458 27% Assert (18 calls)
% 1.97/2.21 ; 0.210 12% Process new row (2,212 calls)
% 1.97/2.21 ; 0.001 0% Resolution (320 calls)
% 1.97/2.21 ; 0.003 0% Paramodulation (160 calls)
% 1.97/2.21 ; 0.000 0% Factoring (8 calls)
% 1.97/2.21 ; 0.003 0% Condensing (947 calls)
% 1.97/2.21 ; 0.117 7% Forward subsumption (947 calls)
% 1.97/2.21 ; 0.121 7% Backward subsumption (864 calls)
% 1.97/2.21 ; 0.189 11% Clause clause subsumption (2,436 calls)
% 1.97/2.21 ; 0.457 27% Forward simplification (2,208 calls)
% 1.97/2.21 ; 0.071 4% Backward simplification (1,149 calls)
% 1.97/2.21 ; 0.000 0% Ordering (341 calls)
% 1.97/2.21 ; 0.000 0% Sortal reasoning (32 calls)
% 1.97/2.21 ; 0.003 0% Purity testing (1 call)
% 1.97/2.21 ; 0.019 1% Other
% 1.97/2.21 ; 1.699 Total
% 1.97/2.21 ; 1.730 Real time
% 1.97/2.21 ;
% 1.97/2.21 ; Term-hash-array has 651 terms in all.
% 1.97/2.21 ; Feature-vector-row-index has 0 entries (233 at peak, 864 added, 864 deleted).
% 1.97/2.21 ; Feature-vector-row-index has 1 node (1,833 at peak, 8,417 added, 8,416 deleted).
% 1.97/2.21 ; Retrieved 1,535 possibly forward subsuming rows in 947 calls.
% 1.97/2.21 ; Retrieved 1,184 possibly backward subsumed rows in 864 calls.
% 1.97/2.21 ; Path-index has 132 entries (500 at peak, 1,656 added, 1,524 deleted).
% 1.97/2.21 ; Path-index has 166 nodes (270 at peak, 802 added, 636 deleted).
% 1.97/2.21 ; Trie-index has 132 entries (500 at peak, 1,656 added, 1,524 deleted).
% 1.97/2.21 ; Trie-index has 217 nodes (1,022 at peak, 3,794 added, 3,577 deleted).
% 1.97/2.21 ; Retrieved 19,004 generalization terms in 123,923 calls.
% 1.97/2.21 ; Retrieved 284 instance terms in 284 calls.
% 1.97/2.21 ; Retrieved 184 unifiable terms in 1,018 calls.
% 1.97/2.21 ;
% 1.97/2.21 ; The agenda of backward simplifiable rows to process has 4 entries:
% 1.97/2.21 ; 4 with value 0
% 1.97/2.21 ; The agenda of rows to process has 4 entries:
% 1.97/2.21 ; 1 with value 12 3 with value 15
% 1.97/2.21 ; The agenda of input rows to give has 10 entries:
% 1.97/2.21 ; 10 with value 7
% 1.97/2.21 ; The agenda of rows to give has 2 entries:
% 1.97/2.21 ; 2 with value (4 8)
% 1.97/2.21 Evaluation took:
% 1.97/2.21 1.73 seconds of real time
% 1.97/2.21 1.695431 seconds of user run time
% 1.97/2.21 0.034511 seconds of system run time
% 1.97/2.21 [Run times include 0.051 seconds GC run time.]
% 1.97/2.21 0 calls to %EVAL
% 1.97/2.21 0 page faults and
% 1.97/2.21 153,209,800 bytes consed.
% 1.97/2.21 :PROOF-FOUND
% 1.97/2.21 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T12:27:27
% 1.97/2.21 :PROOF-FOUND
% 1.97/2.21 *
%------------------------------------------------------------------------------