TSTP Solution File: ALG038+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:59:42 EDT 2022
% Result : Theorem 10.41s 10.61s
% Output : Refutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 107
% Syntax : Number of clauses : 276 ( 190 unt; 75 nHn; 276 RR)
% Number of literals : 592 ( 591 equ; 294 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 : 16 ( 16 usr; 10 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/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(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(16,axiom,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(18,axiom,
op1(e10,unit1) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(19,axiom,
op1(unit1,e11) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(20,axiom,
op1(e11,unit1) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(22,axiom,
op1(e12,unit1) = e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(24,axiom,
op1(e13,unit1) = e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(25,axiom,
( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(35,axiom,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(39,axiom,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(44,axiom,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(49,axiom,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(52,axiom,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(60,axiom,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(61,axiom,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(62,axiom,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(67,axiom,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(71,axiom,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(73,axiom,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(75,axiom,
op2(e20,unit2) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(76,axiom,
op2(unit2,e21) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(77,axiom,
op2(e21,unit2) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(79,axiom,
op2(e22,unit2) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(81,axiom,
op2(e23,unit2) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(82,axiom,
( unit2 = e20
| unit2 = e21
| unit2 = e22
| unit2 = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(89,axiom,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(101,axiom,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(106,axiom,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(109,axiom,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(117,axiom,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(118,axiom,
op1(e11,e10) != op1(e12,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(119,axiom,
op1(e11,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(120,axiom,
op1(e12,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(122,axiom,
op1(e10,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(123,axiom,
op1(e10,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(125,axiom,
op1(e11,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(127,axiom,
op1(e10,e12) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(133,axiom,
op1(e10,e13) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(135,axiom,
op1(e10,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(136,axiom,
op1(e11,e13) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(137,axiom,
op1(e11,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(138,axiom,
op1(e12,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(139,axiom,
op1(e10,e10) != op1(e10,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(141,axiom,
op1(e10,e10) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(142,axiom,
op1(e10,e11) != op1(e10,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(143,axiom,
op1(e10,e11) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(144,axiom,
op1(e10,e12) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(145,axiom,
op1(e11,e10) != op1(e11,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(146,axiom,
op1(e11,e10) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(147,axiom,
op1(e11,e10) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(148,axiom,
op1(e11,e11) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(158,axiom,
op1(e13,e10) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(161,axiom,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(165,axiom,
op2(e20,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(166,axiom,
op2(e21,e20) != op2(e22,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(167,axiom,
op2(e21,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(168,axiom,
op2(e22,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(169,axiom,
op2(e20,e21) != op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(170,axiom,
op2(e20,e21) != op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(171,axiom,
op2(e20,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(172,axiom,
op2(e21,e21) != op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(173,axiom,
op2(e21,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(174,axiom,
op2(e22,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(175,axiom,
op2(e20,e22) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(181,axiom,
op2(e20,e23) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(183,axiom,
op2(e20,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(184,axiom,
op2(e21,e23) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(185,axiom,
op2(e21,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(186,axiom,
op2(e22,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(189,axiom,
op2(e20,e20) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(190,axiom,
op2(e20,e21) != op2(e20,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(191,axiom,
op2(e20,e21) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(192,axiom,
op2(e20,e22) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(193,axiom,
op2(e21,e20) != op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(194,axiom,
op2(e21,e20) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(195,axiom,
op2(e21,e20) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(196,axiom,
op2(e21,e21) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(206,axiom,
op2(e23,e20) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(209,axiom,
op2(e23,e21) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(211,axiom,
e10 != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
cnf(212,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
cnf(213,axiom,
e10 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
cnf(214,axiom,
e11 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
cnf(215,axiom,
e11 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
cnf(216,axiom,
e12 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
cnf(217,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(219,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(221,axiom,
e21 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(247,axiom,
e10 = op1(e11,op1(e11,op1(e11,e11))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(248,axiom,
e12 = op1(e11,op1(e11,e11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(249,axiom,
op1(e11,e11) = e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(250,axiom,
e20 = op2(e21,op2(e21,op2(e21,e21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(251,axiom,
e22 = op2(e21,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(252,axiom,
op2(e21,e21) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(256,axiom,
h1(e13) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(258,axiom,
h2(e10) = op2(e21,op2(e21,op2(e21,e21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(259,plain,
h2(e10) = op2(e21,op2(e21,e23)),
inference('REWRITE',[status(thm)],[258,252,theory(equality)]) ).
cnf(260,axiom,
h2(e12) = op2(e21,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(261,plain,
h2(e12) = op2(e21,e23),
inference('REWRITE',[status(thm)],[260,252,theory(equality)]) ).
cnf(264,axiom,
h3(e11) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(265,axiom,
h3(e10) = op2(e22,op2(e22,op2(e22,e22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(266,axiom,
h3(e12) = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(267,axiom,
h3(e13) = op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(271,axiom,
h4(e13) = op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
cnf(522,negated_conjecture,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e11) != e22
| h3(e13) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(523,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e22)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[522,267,249,264,theory(equality)]) ).
cnf(818,plain,
( h4(e13) = e20
| h4(e13) = e21
| h4(e13) = e22
| h4(e13) = e23 ),
inference('REWRITE',[status(thm)],[73,271,theory(equality)]) ).
cnf(820,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| h4(e13) = e21 ),
inference('REWRITE',[status(thm)],[109,271,theory(equality)]) ).
cnf(823,plain,
op2(e20,e23) != h4(e13),
inference('REWRITE',[status(thm)],[183,271,theory(equality)]) ).
cnf(824,plain,
op2(e22,e23) != h4(e13),
inference('REWRITE',[status(thm)],[186,271,theory(equality)]) ).
cnf(826,plain,
op2(e23,e21) != h4(e13),
inference('REWRITE',[status(thm)],[209,271,theory(equality)]) ).
cnf(887,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| h3(e13) = e21
| op2(e22,e23) = e21 ),
inference('REWRITE',[status(thm)],[101,267,theory(equality)]) ).
cnf(892,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| h3(e13) = e23
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[106,267,theory(equality)]) ).
cnf(899,plain,
h3(e12) = op2(e22,h3(e13)),
inference('REWRITE',[status(thm)],[266,267,theory(equality)]) ).
cnf(905,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != h3(e12)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e22)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[523,899,theory(equality)]) ).
cnf(927,plain,
h3(e10) = op2(e22,h3(e12)),
inference('REWRITE',[status(thm)],[265,266,theory(equality)]) ).
cnf(933,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != h3(e10)
| h3(op1(e11,e13)) != h3(e12)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e22)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[905,927,theory(equality)]) ).
cnf(960,plain,
op2(e20,e23) != h2(e12),
inference('REWRITE',[status(thm)],[181,261,theory(equality)]) ).
cnf(961,plain,
h2(e12) != op2(e22,e23),
inference('REWRITE',[status(thm)],[184,261,theory(equality)]) ).
cnf(962,plain,
h2(e12) != h4(e13),
inference('REWRITE',[status(thm)],[185,271,261,theory(equality)]) ).
cnf(963,plain,
op2(e21,e20) != h2(e12),
inference('REWRITE',[status(thm)],[195,261,theory(equality)]) ).
cnf(965,plain,
h2(e10) = op2(e21,h2(e12)),
inference('REWRITE',[status(thm)],[259,261,theory(equality)]) ).
cnf(977,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[89,256,theory(equality)]) ).
cnf(981,plain,
h1(e13) != op2(e23,e20),
inference('REWRITE',[status(thm)],[165,256,theory(equality)]) ).
cnf(984,plain,
h1(e13) != op2(e20,e23),
inference('REWRITE',[status(thm)],[189,256,theory(equality)]) ).
cnf(1047,plain,
op2(e20,e21) != e23,
inference('REWRITE',[status(thm)],[169,252,theory(equality)]) ).
cnf(1049,plain,
( h1(e13) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[977,1047]) ).
cnf(1050,plain,
op2(e22,e21) != e23,
inference('REWRITE',[status(thm)],[172,252,theory(equality)]) ).
cnf(1051,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[67,1050]) ).
cnf(1053,plain,
op2(e23,e21) != e23,
inference('REWRITE',[status(thm)],[173,252,theory(equality)]) ).
cnf(1054,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[71,1053]) ).
cnf(1056,plain,
op2(e21,e20) != e23,
inference('REWRITE',[status(thm)],[193,252,theory(equality)]) ).
cnf(1057,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22 ),
inference('REWRITE',[status(thm)],[62,1056]) ).
cnf(1059,plain,
op2(e21,e22) != e23,
inference('REWRITE',[status(thm)],[196,252,theory(equality)]) ).
cnf(1061,plain,
( op2(e20,e22) = e23
| h3(e13) = e23
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[892,1059]) ).
cnf(1066,plain,
h2(e12) = e22,
inference('REWRITE',[status(thm)],[251,261,252,theory(equality)]) ).
cnf(1067,plain,
op2(e21,e23) = e22,
inference('REWRITE',[status(thm)],[261,1066,theory(equality)]) ).
cnf(1070,plain,
op2(e20,e23) != e22,
inference('REWRITE',[status(thm)],[960,1066,theory(equality)]) ).
cnf(1071,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[61,1070]) ).
cnf(1073,plain,
op2(e22,e23) != e22,
inference('REWRITE',[status(thm)],[961,1066,theory(equality)]) ).
cnf(1076,plain,
h4(e13) != e22,
inference('REWRITE',[status(thm)],[962,1066,theory(equality)]) ).
cnf(1077,plain,
( h4(e13) = e20
| h4(e13) = e21
| h4(e13) = e23 ),
inference('REWRITE',[status(thm)],[818,1076]) ).
cnf(1079,plain,
op2(e21,e20) != e22,
inference('REWRITE',[status(thm)],[963,1066,theory(equality)]) ).
cnf(1081,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference('REWRITE',[status(thm)],[1057,1079]) ).
cnf(1085,plain,
h2(e10) = op2(e21,e22),
inference('REWRITE',[status(thm)],[965,1066,theory(equality)]) ).
cnf(1086,plain,
op2(e20,e22) != h2(e10),
inference('REWRITE',[status(thm)],[175,1085,theory(equality)]) ).
cnf(1088,plain,
op2(e21,e20) != h2(e10),
inference('REWRITE',[status(thm)],[194,1085,theory(equality)]) ).
cnf(1098,plain,
h2(e10) = e20,
inference('REWRITE',[status(thm)],[250,1085,251,theory(equality)]) ).
cnf(1099,plain,
op2(e21,e22) = e20,
inference('REWRITE',[status(thm)],[1085,1098,theory(equality)]) ).
cnf(1100,plain,
op2(e20,e22) != e20,
inference('REWRITE',[status(thm)],[1086,1098,theory(equality)]) ).
cnf(1101,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference('REWRITE',[status(thm)],[60,1100]) ).
cnf(1106,plain,
op2(e21,e20) != e20,
inference('REWRITE',[status(thm)],[1088,1098,theory(equality)]) ).
cnf(1108,plain,
op2(e21,e20) = e21,
inference('REWRITE',[status(thm)],[1081,1106]) ).
cnf(1109,plain,
op2(e22,e20) != e21,
inference('REWRITE',[status(thm)],[166,1108,theory(equality)]) ).
cnf(1111,plain,
( op2(e22,e21) = e21
| h3(e13) = e21
| op2(e22,e23) = e21 ),
inference('REWRITE',[status(thm)],[887,1109]) ).
cnf(1112,plain,
op2(e23,e20) != e21,
inference('REWRITE',[status(thm)],[167,1108,theory(equality)]) ).
cnf(1113,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[70,1112]) ).
cnf(1114,plain,
( op2(e23,e21) = e21
| op2(e23,e22) = e21
| h4(e13) = e21 ),
inference('REWRITE',[status(thm)],[820,1112]) ).
cnf(1124,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference('REWRITE',[status(thm)],[35,213,249,theory(equality)]) ).
cnf(1128,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference('REWRITE',[status(thm)],[39,216,249,theory(equality)]) ).
cnf(1135,plain,
op1(e13,e11) != e13,
inference('REWRITE',[status(thm)],[125,249,theory(equality)]) ).
cnf(1138,plain,
op1(e11,e10) != e13,
inference('REWRITE',[status(thm)],[145,249,theory(equality)]) ).
cnf(1139,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12 ),
inference('REWRITE',[status(thm)],[5,1138]) ).
cnf(1141,plain,
op1(e11,e12) != e13,
inference('REWRITE',[status(thm)],[148,249,theory(equality)]) ).
cnf(1143,plain,
( op1(e10,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[49,1141]) ).
cnf(1148,plain,
op1(e11,e13) = e12,
inference('REWRITE',[status(thm)],[248,249,theory(equality)]) ).
cnf(1151,plain,
op1(e10,e13) != e12,
inference('REWRITE',[status(thm)],[133,1148,theory(equality)]) ).
cnf(1152,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[4,1151]) ).
cnf(1154,plain,
op1(e12,e13) != e12,
inference('REWRITE',[status(thm)],[136,1148,theory(equality)]) ).
cnf(1157,plain,
op1(e13,e13) != e12,
inference('REWRITE',[status(thm)],[137,1148,theory(equality)]) ).
cnf(1158,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[16,1157]) ).
cnf(1160,plain,
op1(e11,e10) != e12,
inference('REWRITE',[status(thm)],[147,1148,theory(equality)]) ).
cnf(1162,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11 ),
inference('REWRITE',[status(thm)],[1139,1160]) ).
cnf(1189,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != h3(e10)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e22)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[933,1148,theory(equality)]) ).
cnf(1223,plain,
op1(e11,e12) = e10,
inference('REWRITE',[status(thm)],[247,248,theory(equality)]) ).
cnf(1225,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[127,1223,theory(equality)]) ).
cnf(1226,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[3,1225]) ).
cnf(1234,plain,
op1(e11,e10) != e10,
inference('REWRITE',[status(thm)],[146,1223,theory(equality)]) ).
cnf(1236,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[1162,1234]) ).
cnf(1240,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[118,1236,theory(equality)]) ).
cnf(1242,plain,
( op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference('REWRITE',[status(thm)],[44,1240]) ).
cnf(1243,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[119,1236,theory(equality)]) ).
cnf(1244,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[13,1243]) ).
cnf(1245,plain,
( op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference('REWRITE',[status(thm)],[52,1243]) ).
cnf(1269,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| e22 != op2(e22,h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e22)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[1189,264,1236,1223,theory(equality)]) ).
cnf(1302,plain,
( unit1 = e10
| unit1 = e11
| unit1 = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,25,theory(equality)]),1154]) ).
cnf(1304,plain,
( unit2 = e20
| unit2 = e21
| unit2 = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,82,theory(equality)]),1073]) ).
cnf(1324,plain,
( h1(e13) = e23
| op2(e20,e22) = e23
| h4(e13) != e23 ),
inference('PARAMODULATE',[status(thm)],[823,1049,theory(equality)]) ).
cnf(3627,plain,
( unit1 = e10
| unit1 = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20,1302,theory(equality)]),211,1223,theory(equality)]) ).
cnf(3628,plain,
unit1 = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,3627,theory(equality)]),1135]) ).
cnf(3629,plain,
op1(e10,e10) = e10,
inference('REWRITE',[status(thm)],[18,3628,theory(equality)]) ).
cnf(3640,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[117,3629,theory(equality)]) ).
cnf(3642,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[1244,3640]) ).
cnf(3652,plain,
op1(e10,e11) != e10,
inference('REWRITE',[status(thm)],[139,3629,theory(equality)]) ).
cnf(3653,plain,
( op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference('REWRITE',[status(thm)],[1124,3652]) ).
cnf(3660,plain,
op1(e10,e13) != e10,
inference('REWRITE',[status(thm)],[141,3629,theory(equality)]) ).
cnf(3662,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[1152,3660]) ).
cnf(3698,plain,
( h3(e10) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| e22 != op2(e22,h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e22)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[1269,3629,theory(equality)]) ).
cnf(5603,plain,
op1(e10,e11) = e11,
inference('REWRITE',[status(thm)],[19,3628,theory(equality)]) ).
cnf(5604,plain,
op1(e12,e11) != e11,
inference('REWRITE',[status(thm)],[122,5603,theory(equality)]) ).
cnf(5606,plain,
( op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference('REWRITE',[status(thm)],[1242,5604]) ).
cnf(5614,plain,
op1(e13,e11) != e11,
inference('REWRITE',[status(thm)],[123,5603,theory(equality)]) ).
cnf(5616,plain,
( op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference('REWRITE',[status(thm)],[1245,5614]) ).
cnf(5626,plain,
op1(e10,e12) != e11,
inference('REWRITE',[status(thm)],[142,5603,theory(equality)]) ).
cnf(5628,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[1226,5626]) ).
cnf(5635,plain,
op1(e10,e13) != e11,
inference('REWRITE',[status(thm)],[143,5603,theory(equality)]) ).
cnf(5640,plain,
op1(e10,e13) = e13,
inference('REWRITE',[status(thm)],[3662,5635]) ).
cnf(5644,plain,
op1(e13,e13) != e13,
inference('REWRITE',[status(thm)],[135,5640,theory(equality)]) ).
cnf(5646,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11 ),
inference('REWRITE',[status(thm)],[1158,5644]) ).
cnf(5647,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[144,5640,theory(equality)]) ).
cnf(5648,plain,
( op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[1143,5647]) ).
cnf(5651,plain,
op1(e10,e12) = e12,
inference('REWRITE',[status(thm)],[5628,5647]) ).
cnf(5662,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference('REWRITE',[status(thm)],[1128,214,5603,theory(equality)]) ).
cnf(5687,plain,
( h3(e10) != op2(h3(e10),h3(e10))
| e22 != op2(h3(e10),e22)
| h3(e12) != op2(h3(e10),h3(e12))
| h3(e13) != op2(h3(e10),h3(e13))
| e22 != op2(e22,h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e22)
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[3698,5640,5651,264,5603,theory(equality)]) ).
cnf(6748,plain,
op1(e12,e10) = e12,
inference('REWRITE',[status(thm)],[22,3628,theory(equality)]) ).
cnf(6749,plain,
op1(e13,e10) != e12,
inference('REWRITE',[status(thm)],[120,6748,theory(equality)]) ).
cnf(6750,plain,
op1(e13,e10) = e13,
inference('REWRITE',[status(thm)],[3642,6749]) ).
cnf(6751,plain,
op1(e13,e12) != e13,
inference('REWRITE',[status(thm)],[158,6750,theory(equality)]) ).
cnf(6752,plain,
op1(e12,e12) = e13,
inference('REWRITE',[status(thm)],[5648,6751]) ).
cnf(6753,plain,
op1(e12,e13) = e11,
inference('REWRITE',[status(thm)],[5606,215,6752,theory(equality)]) ).
cnf(6754,plain,
op1(e13,e13) != e11,
inference('REWRITE',[status(thm)],[138,6753,theory(equality)]) ).
cnf(6755,plain,
op1(e13,e12) = e11,
inference('REWRITE',[status(thm)],[5616,6754]) ).
cnf(6756,plain,
op1(e13,e13) = e10,
inference('REWRITE',[status(thm)],[5646,6754]) ).
cnf(6757,plain,
op1(e13,e11) != e10,
inference('REWRITE',[status(thm)],[161,6756,theory(equality)]) ).
cnf(6758,plain,
op1(e12,e11) = e10,
inference('REWRITE',[status(thm)],[3653,6757]) ).
cnf(6759,plain,
op1(e13,e11) = e12,
inference('REWRITE',[status(thm)],[5662,212,6758,theory(equality)]) ).
cnf(6783,plain,
( h3(e10) != op2(h3(e10),h3(e10))
| e22 != op2(h3(e10),e22)
| h3(e12) != op2(h3(e10),h3(e12))
| h3(e13) != op2(h3(e10),h3(e13))
| e22 != op2(e22,h3(e10))
| h3(e12) != op2(h3(e12),h3(e10))
| h3(e10) != op2(h3(e12),e22)
| h3(e13) != op2(h3(e12),h3(e12))
| e22 != op2(h3(e12),h3(e13))
| h3(e13) != op2(h3(e13),h3(e10))
| h3(e12) != op2(h3(e13),e22)
| e22 != op2(h3(e13),h3(e12))
| h3(e10) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e23 ),
inference('REWRITE',[status(thm)],[5687,6756,6755,6759,6750,264,6753,6752,6758,6748,theory(equality)]) ).
cnf(6878,plain,
( unit2 = e20
| unit2 = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[77,1304,theory(equality)]),217,1099,theory(equality)]) ).
cnf(6879,plain,
unit2 = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[81,6878,theory(equality)]),1053]) ).
cnf(6880,plain,
h1(e13) = e20,
inference('REWRITE',[status(thm)],[75,256,6879,theory(equality)]) ).
cnf(6881,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[256,6880,theory(equality)]) ).
cnf(6894,plain,
op2(e23,e20) != e20,
inference('REWRITE',[status(thm)],[981,6880,theory(equality)]) ).
cnf(6896,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[1113,6894]) ).
cnf(6912,plain,
op2(e20,e23) != e20,
inference('REWRITE',[status(thm)],[984,6880,theory(equality)]) ).
cnf(6914,plain,
( op2(e20,e23) = e21
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[1071,6912]) ).
cnf(6928,plain,
( op2(e20,e22) = e23
| h4(e13) != e23 ),
inference('REWRITE',[status(thm)],[1324,219,6880,theory(equality)]) ).
cnf(6950,plain,
op2(e20,e21) = e21,
inference('REWRITE',[status(thm)],[76,6879,theory(equality)]) ).
cnf(6951,plain,
op2(e22,e21) != e21,
inference('REWRITE',[status(thm)],[170,6950,theory(equality)]) ).
cnf(6952,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[1051,6951]) ).
cnf(6953,plain,
( h3(e13) = e21
| op2(e22,e23) = e21 ),
inference('REWRITE',[status(thm)],[1111,6951]) ).
cnf(6963,plain,
op2(e23,e21) != e21,
inference('REWRITE',[status(thm)],[171,6950,theory(equality)]) ).
cnf(6964,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[1054,6963]) ).
cnf(6965,plain,
( op2(e23,e22) = e21
| h4(e13) = e21 ),
inference('REWRITE',[status(thm)],[1114,6963]) ).
cnf(6975,plain,
op2(e20,e22) != e21,
inference('REWRITE',[status(thm)],[190,6950,theory(equality)]) ).
cnf(6976,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference('REWRITE',[status(thm)],[1101,6975]) ).
cnf(6985,plain,
op2(e20,e23) != e21,
inference('REWRITE',[status(thm)],[191,6950,theory(equality)]) ).
cnf(6989,plain,
op2(e20,e23) = e23,
inference('REWRITE',[status(thm)],[6914,6985]) ).
cnf(6993,plain,
op2(e20,e22) != e23,
inference('REWRITE',[status(thm)],[192,6989,theory(equality)]) ).
cnf(6994,plain,
( h3(e13) = e23
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[1061,6993]) ).
cnf(6997,plain,
h4(e13) != e23,
inference('REWRITE',[status(thm)],[6928,6993]) ).
cnf(6999,plain,
( h4(e13) = e20
| h4(e13) = e21 ),
inference('REWRITE',[status(thm)],[1077,6997]) ).
cnf(7005,plain,
op2(e20,e22) = e22,
inference('REWRITE',[status(thm)],[6976,6993]) ).
cnf(7038,plain,
op2(e22,e20) = e22,
inference('REWRITE',[status(thm)],[79,6879,theory(equality)]) ).
cnf(7039,plain,
op2(e23,e20) != e22,
inference('REWRITE',[status(thm)],[168,7038,theory(equality)]) ).
cnf(7040,plain,
op2(e23,e20) = e23,
inference('REWRITE',[status(thm)],[6896,7039]) ).
cnf(7041,plain,
op2(e23,e22) != e23,
inference('REWRITE',[status(thm)],[206,7040,theory(equality)]) ).
cnf(7042,plain,
h3(e13) = e23,
inference('REWRITE',[status(thm)],[6994,7041]) ).
cnf(7044,plain,
h3(e12) = op2(e22,e23),
inference('REWRITE',[status(thm)],[899,7042,theory(equality)]) ).
cnf(7046,plain,
h3(e12) != h4(e13),
inference('REWRITE',[status(thm)],[824,7044,theory(equality)]) ).
cnf(7056,plain,
( h3(e10) != op2(h3(e10),h3(e10))
| e22 != op2(h3(e10),e22)
| h3(e12) != op2(h3(e10),h3(e12))
| e23 != op2(h3(e10),e23)
| e22 != op2(e22,h3(e10))
| h3(e12) != op2(h3(e12),h3(e10))
| h3(e10) != op2(h3(e12),e22)
| e23 != op2(h3(e12),h3(e12))
| e22 != op2(h3(e12),e23)
| e23 != op2(e23,h3(e10))
| h3(e12) != op2(e23,e22)
| e22 != op2(e23,h3(e12))
| h3(e10) != h4(e13)
| h3(e10) != e20
| h3(e12) != e21 ),
inference('REWRITE',[status(thm)],[6783,271,7042,theory(equality)]) ).
cnf(7061,plain,
h3(e12) = e21,
inference('REWRITE',[status(thm)],[6953,7044,221,7042,theory(equality)]) ).
cnf(7062,plain,
h3(e10) = op2(e22,e21),
inference('REWRITE',[status(thm)],[927,7061,theory(equality)]) ).
cnf(7063,plain,
h3(e10) != op2(e23,e21),
inference('REWRITE',[status(thm)],[174,7062,theory(equality)]) ).
cnf(7069,plain,
( h3(e10) = e20
| h3(e10) = e22 ),
inference('REWRITE',[status(thm)],[6952,7062,theory(equality)]) ).
cnf(7076,plain,
h4(e13) != e21,
inference('REWRITE',[status(thm)],[7046,7061,theory(equality)]) ).
cnf(7077,plain,
op2(e23,e22) = e21,
inference('REWRITE',[status(thm)],[6965,7076]) ).
cnf(7078,plain,
h4(e13) = e20,
inference('REWRITE',[status(thm)],[6999,7076]) ).
cnf(7080,plain,
op2(e23,e21) != e20,
inference('REWRITE',[status(thm)],[826,7078,theory(equality)]) ).
cnf(7081,plain,
op2(e23,e21) = e22,
inference('REWRITE',[status(thm)],[6964,7080]) ).
cnf(7082,plain,
h3(e10) != e22,
inference('REWRITE',[status(thm)],[7063,7081,theory(equality)]) ).
cnf(7083,plain,
h3(e10) = e20,
inference('REWRITE',[status(thm)],[7069,7082]) ).
cnf(7087,plain,
$false,
inference('REWRITE',[status(thm)],[7056,7078,7081,7077,7040,1067,252,1099,1108,7038,6989,6950,7005,6881,7083,7061,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Wed Jun 8 09:46:22 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 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T09:46:22
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-08T09:46:22
% 10.41/10.61
% 10.41/10.61
% 10.41/10.61 #||
% 10.41/10.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.41/10.61 % SZS output start Refutation
% See solution above
% 10.44/10.63 ||#
% 10.44/10.63
% 10.44/10.63 ; Summary of computation:
% 10.44/10.63 ; 10806 formulas have been input or derived (from 356 formulas).
% 10.44/10.63 ; 7087 (66%) were retained. Of these,
% 10.44/10.63 ; 7008 (99%) were simplified or subsumed later,
% 10.44/10.63 ; 79 ( 1%) are still being kept.
% 10.44/10.63 ;
% 10.44/10.63 ; Run time in seconds excluding printing time:
% 10.44/10.63 ; 0.047 0% Read assertion file (1 call)
% 10.44/10.63 ; 0.469 5% Assert (20 calls)
% 10.44/10.63 ; 1.854 18% Process new row (10,365 calls)
% 10.44/10.63 ; 0.004 0% Resolution (710 calls)
% 10.44/10.63 ; 0.155 2% Paramodulation (355 calls)
% 10.44/10.63 ; 0.001 0% Factoring (78 calls)
% 10.44/10.63 ; 0.018 0% Condensing (7,628 calls)
% 10.44/10.63 ; 2.603 26% Forward subsumption (7,628 calls)
% 10.44/10.63 ; 0.803 8% Backward subsumption (6,402 calls)
% 10.44/10.63 ; 0.805 8% Clause clause subsumption (16,065 calls)
% 10.44/10.63 ; 2.205 22% Forward simplification (10,338 calls)
% 10.44/10.63 ; 1.085 11% Backward simplification (6,724 calls)
% 10.44/10.63 ; 0.026 0% Ordering (21,196 calls)
% 10.44/10.63 ; 0.001 0% Sortal reasoning (32 calls)
% 10.44/10.63 ; 0.003 0% Purity testing (1 call)
% 10.44/10.63 ; 0.054 1% Other
% 10.44/10.63 ; 10.133 Total
% 10.44/10.63 ; 10.160 Real time
% 10.44/10.63 ;
% 10.44/10.63 ; Term-hash-array has 822 terms in all.
% 10.44/10.63 ; Feature-vector-row-index has 0 entries (2,437 at peak, 6,402 added, 6,402 deleted).
% 10.44/10.63 ; Feature-vector-row-index has 1 node (24,422 at peak, 62,048 added, 62,047 deleted).
% 10.44/10.63 ; Retrieved 11,533 possibly forward subsuming rows in 7,628 calls.
% 10.44/10.63 ; Retrieved 6,470 possibly backward subsumed rows in 6,402 calls.
% 10.44/10.63 ; Path-index has 136 entries (596 at peak, 2,419 added, 2,283 deleted).
% 10.44/10.63 ; Path-index has 170 nodes (286 at peak, 988 added, 818 deleted).
% 10.44/10.63 ; Trie-index has 136 entries (596 at peak, 2,419 added, 2,283 deleted).
% 10.44/10.63 ; Trie-index has 223 nodes (1,160 at peak, 5,499 added, 5,276 deleted).
% 10.44/10.63 ; Retrieved 35,105 generalization terms in 516,174 calls.
% 10.44/10.63 ; Retrieved 321 instance terms in 321 calls.
% 10.44/10.63 ; Retrieved 1,191 unifiable terms in 5,761 calls.
% 10.44/10.63 ;
% 10.44/10.63 ; The agenda of backward simplifiable rows to process has 63 entries:
% 10.44/10.63 ; 63 with value 0
% 10.44/10.63 ; The agenda of rows to process has 7 entries:
% 10.44/10.63 ; 6 with value 14 1 with value 15
% 10.44/10.63 ; The agenda of input rows to give has 21 entries:
% 10.44/10.63 ; 9 with value 6 12 with value 7
% 10.44/10.63 ; The agenda of rows to give has 1 entry:
% 10.44/10.63 ; 1 with value (4 7)
% 10.44/10.63 Evaluation took:
% 10.44/10.63 10.16 seconds of real time
% 10.44/10.63 9.901925 seconds of user run time
% 10.44/10.63 0.258293 seconds of system run time
% 10.44/10.63 [Run times include 0.632 seconds GC run time.]
% 10.44/10.63 0 calls to %EVAL
% 10.44/10.63 0 page faults and
% 10.44/10.63 1,171,645,208 bytes consed.
% 10.44/10.63 :PROOF-FOUND
% 10.44/10.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T09:46:32
% 10.44/10.63 :PROOF-FOUND
% 10.44/10.63 *
%------------------------------------------------------------------------------