TSTP Solution File: ALG168+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG168+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 18:00:03 EDT 2022
% Result : Theorem 104.08s 104.31s
% Output : Refutation 104.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 158
% Syntax : Number of clauses : 451 ( 342 unt; 98 nHn; 451 RR)
% Number of literals : 962 ( 961 equ; 425 neg)
% Maximal clause size : 30 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 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
| op1(e10,e12) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
( op1(e10,e14) = e10
| op1(e10,e14) = e11
| op1(e10,e14) = e12
| op1(e10,e14) = e13
| op1(e10,e14) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(7,axiom,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13
| op1(e11,e11) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(9,axiom,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13
| op1(e11,e13) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(13,axiom,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13
| op1(e12,e12) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(19,axiom,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13
| op1(e13,e13) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(22,axiom,
( op1(e14,e11) = e10
| op1(e14,e11) = e11
| op1(e14,e11) = e12
| op1(e14,e11) = e13
| op1(e14,e11) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(27,axiom,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10
| op1(e14,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(37,axiom,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10
| op1(e14,e11) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(53,axiom,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13
| op1(e14,e12) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(65,axiom,
( op1(e10,e13) = e14
| op1(e11,e13) = e14
| op1(e12,e13) = e14
| op1(e13,e13) = e14
| op1(e14,e13) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(74,axiom,
( op1(e14,e10) = e14
| op1(e14,e11) = e14
| op1(e14,e12) = e14
| op1(e14,e13) = e14
| op1(e14,e14) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(80,axiom,
op1(op1(e14,e10),op1(e10,e14)) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(95,axiom,
op1(op1(e14,e13),op1(e13,e14)) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(99,axiom,
op1(op1(e13,e14),op1(e14,e13)) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(103,axiom,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23
| op2(e20,e22) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(107,axiom,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23
| op2(e21,e21) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(113,axiom,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23
| op2(e22,e22) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(118,axiom,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23
| op2(e23,e22) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(119,axiom,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23
| op2(e23,e23) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(127,axiom,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20
| op2(e24,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(137,axiom,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20
| op2(e24,e21) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(149,axiom,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21
| op2(e24,e22) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(153,axiom,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23
| op2(e24,e22) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(165,axiom,
( op2(e20,e23) = e24
| op2(e21,e23) = e24
| op2(e22,e23) = e24
| op2(e23,e23) = e24
| op2(e24,e23) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(170,axiom,
( op2(e24,e20) = e22
| op2(e24,e21) = e22
| op2(e24,e22) = e22
| op2(e24,e23) = e22
| op2(e24,e24) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(174,axiom,
( op2(e24,e20) = e24
| op2(e24,e21) = e24
| op2(e24,e22) = e24
| op2(e24,e23) = e24
| op2(e24,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(189,axiom,
op2(op2(e23,e22),op2(e22,e23)) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(190,axiom,
op2(op2(e24,e22),op2(e22,e24)) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(195,axiom,
op2(op2(e24,e23),op2(e23,e24)) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(199,axiom,
op2(op2(e23,e24),op2(e24,e23)) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(211,axiom,
op1(e10,e11) != op1(e11,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(216,axiom,
op1(e11,e11) != op1(e13,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(217,axiom,
op1(e11,e11) != op1(e14,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(220,axiom,
op1(e13,e11) != op1(e14,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(222,axiom,
op1(e10,e12) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(224,axiom,
op1(e10,e12) != op1(e14,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(231,axiom,
op1(e10,e13) != op1(e11,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(236,axiom,
op1(e11,e13) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(237,axiom,
op1(e11,e13) != op1(e14,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(240,axiom,
op1(e13,e13) != op1(e14,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(241,axiom,
op1(e10,e14) != op1(e11,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(243,axiom,
op1(e10,e14) != op1(e13,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(244,axiom,
op1(e10,e14) != op1(e14,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(252,axiom,
op1(e10,e10) != op1(e10,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(255,axiom,
op1(e10,e11) != op1(e10,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(257,axiom,
op1(e10,e11) != op1(e10,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(258,axiom,
op1(e10,e12) != op1(e10,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(263,axiom,
op1(e11,e10) != op1(e11,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(266,axiom,
op1(e11,e11) != op1(e11,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(267,axiom,
op1(e11,e11) != op1(e11,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(268,axiom,
op1(e11,e12) != op1(e11,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(272,axiom,
op1(e12,e10) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(275,axiom,
op1(e12,e11) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(278,axiom,
op1(e12,e12) != op1(e12,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(279,axiom,
op1(e12,e12) != op1(e12,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(286,axiom,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(290,axiom,
op1(e13,e13) != op1(e13,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(291,axiom,
op1(e14,e10) != op1(e14,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(292,axiom,
op1(e14,e10) != op1(e14,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(296,axiom,
op1(e14,e11) != op1(e14,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(311,axiom,
op2(e20,e21) != op2(e21,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(316,axiom,
op2(e21,e21) != op2(e23,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(317,axiom,
op2(e21,e21) != op2(e24,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(320,axiom,
op2(e23,e21) != op2(e24,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(322,axiom,
op2(e20,e22) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(324,axiom,
op2(e20,e22) != op2(e24,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(328,axiom,
op2(e22,e22) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(329,axiom,
op2(e22,e22) != op2(e24,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(336,axiom,
op2(e21,e23) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(340,axiom,
op2(e23,e23) != op2(e24,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(352,axiom,
op2(e20,e20) != op2(e20,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(355,axiom,
op2(e20,e21) != op2(e20,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(358,axiom,
op2(e20,e22) != op2(e20,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(363,axiom,
op2(e21,e20) != op2(e21,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(365,axiom,
op2(e21,e21) != op2(e21,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(367,axiom,
op2(e21,e21) != op2(e21,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(372,axiom,
op2(e22,e20) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(375,axiom,
op2(e22,e21) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(378,axiom,
op2(e22,e22) != op2(e22,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(379,axiom,
op2(e22,e22) != op2(e22,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(385,axiom,
op2(e23,e21) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(386,axiom,
op2(e23,e21) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(388,axiom,
op2(e23,e22) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(389,axiom,
op2(e23,e22) != op2(e23,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(390,axiom,
op2(e23,e23) != op2(e23,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(392,axiom,
op2(e24,e20) != op2(e24,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(396,axiom,
op2(e24,e21) != op2(e24,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(401,axiom,
e10 != e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(402,axiom,
e10 != e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(403,axiom,
e10 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(404,axiom,
e10 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(407,axiom,
e11 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(410,axiom,
e13 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(411,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(412,axiom,
e20 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(413,axiom,
e20 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(414,axiom,
e20 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(417,axiom,
e21 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(418,axiom,
e22 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(419,axiom,
e22 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(420,axiom,
e23 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(447,axiom,
op1(e10,op1(e10,e11)) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(451,axiom,
op1(e11,op1(e11,e10)) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(457,axiom,
op1(e12,op1(e12,e11)) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(459,axiom,
op1(e12,op1(e12,e13)) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(462,axiom,
op1(e13,op1(e13,e11)) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(467,axiom,
op1(e14,op1(e14,e11)) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(469,axiom,
op1(e14,op1(e14,e13)) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(472,axiom,
op2(e20,op2(e20,e21)) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(476,axiom,
op2(e21,op2(e21,e20)) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(482,axiom,
op2(e22,op2(e22,e21)) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(484,axiom,
op2(e22,op2(e22,e23)) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(487,axiom,
op2(e23,op2(e23,e21)) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(488,axiom,
op2(e23,op2(e23,e22)) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(494,axiom,
op2(e24,op2(e24,e23)) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(496,axiom,
e10 = op1(op1(e13,e11),e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(497,axiom,
e12 = op1(e13,op1(op1(e13,e11),e13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(498,plain,
op1(e13,e10) = e12,
inference('REWRITE',[status(thm)],[497,496,theory(equality)]) ).
cnf(499,axiom,
op1(e13,e11) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(500,axiom,
e20 = op2(op2(e23,e21),e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(501,axiom,
e22 = op2(e23,op2(op2(e23,e21),e23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(502,plain,
op2(e23,e20) = e22,
inference('REWRITE',[status(thm)],[501,500,theory(equality)]) ).
cnf(503,axiom,
op2(e23,e21) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(506,axiom,
h1(e10) = op2(op2(e21,e20),e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(507,axiom,
h1(e12) = op2(e21,op2(op2(e21,e20),e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(508,plain,
h1(e12) = op2(e21,h1(e10)),
inference('REWRITE',[status(thm)],[507,506,theory(equality)]) ).
cnf(509,axiom,
h1(e14) = op2(e21,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(515,axiom,
h2(e14) = op2(e22,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
cnf(518,axiom,
h3(e10) = op2(op2(e23,e20),e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
cnf(519,plain,
h3(e10) = op2(e22,e23),
inference('REWRITE',[status(thm)],[518,502,theory(equality)]) ).
cnf(526,axiom,
h4(e10) = op2(op2(e24,e20),e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
cnf(527,axiom,
h4(e12) = op2(e24,op2(op2(e24,e20),e24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
cnf(528,plain,
h4(e12) = op2(e24,h4(e10)),
inference('REWRITE',[status(thm)],[527,526,theory(equality)]) ).
cnf(529,axiom,
h4(e14) = op2(e24,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
cnf(532,axiom,
h5(e10) = op2(op2(e20,e21),e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
cnf(533,axiom,
h5(e12) = op2(e20,op2(op2(e20,e21),e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
cnf(534,plain,
h5(e12) = op2(e20,h5(e10)),
inference('REWRITE',[status(thm)],[533,532,theory(equality)]) ).
cnf(535,axiom,
h5(e14) = op2(e20,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
cnf(541,axiom,
h6(e14) = op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
cnf(544,axiom,
h7(e10) = op2(op2(e23,e21),e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
cnf(545,plain,
h7(e10) = op2(e24,e23),
inference('REWRITE',[status(thm)],[544,503,theory(equality)]) ).
cnf(555,axiom,
h8(e14) = op2(e24,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
cnf(561,axiom,
h9(e14) = op2(e20,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
cnf(567,axiom,
h10(e14) = op2(e21,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
cnf(568,axiom,
h11(e11) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(569,axiom,
h11(e13) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(570,axiom,
h11(e10) = op2(op2(e23,e22),e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(571,axiom,
h11(e12) = op2(e23,op2(op2(e23,e22),e23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(572,plain,
h11(e12) = op2(e23,h11(e10)),
inference('REWRITE',[status(thm)],[571,570,theory(equality)]) ).
cnf(573,axiom,
h11(e14) = op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(579,axiom,
h12(e14) = op2(e24,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
cnf(582,axiom,
h13(e10) = op2(op2(e20,e23),e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
cnf(583,axiom,
h13(e12) = op2(e20,op2(op2(e20,e23),e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
cnf(584,plain,
h13(e12) = op2(e20,h13(e10)),
inference('REWRITE',[status(thm)],[583,582,theory(equality)]) ).
cnf(585,axiom,
h13(e14) = op2(e20,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
cnf(591,axiom,
h14(e14) = op2(e21,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
cnf(598,axiom,
h15(e14) = op2(e22,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
cnf(599,plain,
h15(e14) = h3(e10),
inference('REWRITE',[status(thm)],[598,519,theory(equality)]) ).
cnf(602,axiom,
h16(e10) = op2(op2(e24,e23),e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
cnf(603,plain,
h16(e10) = op2(h7(e10),e24),
inference('REWRITE',[status(thm)],[602,545,theory(equality)]) ).
cnf(606,axiom,
h16(e14) = op2(e24,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
cnf(607,plain,
h16(e14) = h7(e10),
inference('REWRITE',[status(thm)],[606,545,theory(equality)]) ).
cnf(613,axiom,
h17(e14) = op2(e20,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
cnf(619,axiom,
h18(e14) = op2(e21,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
cnf(622,axiom,
h19(e10) = op2(op2(e22,e24),e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
cnf(623,axiom,
h19(e12) = op2(e22,op2(op2(e22,e24),e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
cnf(624,plain,
h19(e12) = op2(e22,h19(e10)),
inference('REWRITE',[status(thm)],[623,622,theory(equality)]) ).
cnf(625,axiom,
h19(e14) = op2(e22,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
cnf(631,axiom,
h20(e14) = op2(e23,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
cnf(6175,negated_conjecture,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e14)) != op2(h11(e11),h11(e14))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e14)) != op2(h11(e13),h11(e14))
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),h11(e11))
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != op2(h11(e14),h11(e13))
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e11) != e22
| h11(e13) != e23
| h11(e12) != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(6176,plain,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),e22)
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),e23)
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(e22,h11(e10))
| h11(op1(e11,e11)) != op2(e22,e22)
| h11(op1(e11,e12)) != op2(e22,h11(e12))
| h11(op1(e11,e13)) != op2(e22,e23)
| h11(op1(e11,e14)) != op2(e22,h11(e14))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e22)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e23)
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e12)) != op2(e23,h11(e12))
| h11(op1(e13,e13)) != op2(e23,e23)
| h11(op1(e13,e14)) != op2(e23,h11(e14))
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),e22)
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != op2(h11(e14),e23)
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e12) != e24 ),
inference('REWRITE',[status(thm)],[6175,573,499,572,498,569,568,theory(equality)]) ).
cnf(11686,plain,
op2(e23,e23) != h20(e14),
inference('REWRITE',[status(thm)],[390,631,theory(equality)]) ).
cnf(11746,plain,
op2(e22,e22) != h19(e14),
inference('REWRITE',[status(thm)],[379,625,theory(equality)]) ).
cnf(11775,plain,
h19(e10) = op2(h19(e14),e22),
inference('REWRITE',[status(thm)],[622,625,theory(equality)]) ).
cnf(11807,plain,
op2(e21,e21) != h18(e14),
inference('REWRITE',[status(thm)],[367,619,theory(equality)]) ).
cnf(11931,plain,
h16(e14) = op2(e24,e23),
inference('REWRITE',[status(thm)],[545,607,theory(equality)]) ).
cnf(12022,plain,
h16(e10) = op2(h16(e14),e24),
inference('REWRITE',[status(thm)],[603,607,theory(equality)]) ).
cnf(12054,plain,
h15(e14) = op2(e22,e23),
inference('REWRITE',[status(thm)],[519,599,theory(equality)]) ).
cnf(12078,plain,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),e22)
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),e23)
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(e22,h11(e10))
| h11(op1(e11,e11)) != op2(e22,e22)
| h11(op1(e11,e12)) != op2(e22,h11(e12))
| h11(op1(e11,e13)) != h15(e14)
| h11(op1(e11,e14)) != op2(e22,h11(e14))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e22)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e23)
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e12)) != op2(e23,h11(e12))
| h11(op1(e13,e13)) != op2(e23,e23)
| h11(op1(e13,e14)) != op2(e23,h11(e14))
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),e22)
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != op2(h11(e14),e23)
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e12) != e24 ),
inference('REWRITE',[status(thm)],[6176,12054,theory(equality)]) ).
cnf(12178,plain,
h14(e14) != op2(e23,e23),
inference('REWRITE',[status(thm)],[336,591,theory(equality)]) ).
cnf(12270,plain,
h13(e10) = op2(h13(e14),e20),
inference('REWRITE',[status(thm)],[582,585,theory(equality)]) ).
cnf(12299,plain,
op2(h12(e14),h19(e14)) = e22,
inference('REWRITE',[status(thm)],[190,625,579,theory(equality)]) ).
cnf(12301,plain,
op2(e22,e22) != h12(e14),
inference('REWRITE',[status(thm)],[329,579,theory(equality)]) ).
cnf(12359,plain,
( h11(e14) = e20
| h11(e14) = e21
| h11(e14) = e22
| h11(e14) = e23
| h11(e14) = e24 ),
inference('REWRITE',[status(thm)],[118,573,theory(equality)]) ).
cnf(12360,plain,
op2(e22,e22) != h11(e14),
inference('REWRITE',[status(thm)],[328,573,theory(equality)]) ).
cnf(12362,plain,
h11(e14) != op2(e23,e23),
inference('REWRITE',[status(thm)],[388,573,theory(equality)]) ).
cnf(12363,plain,
h11(e14) != h20(e14),
inference('REWRITE',[status(thm)],[389,631,573,theory(equality)]) ).
cnf(12364,plain,
op2(e23,h11(e14)) = e22,
inference('REWRITE',[status(thm)],[488,573,theory(equality)]) ).
cnf(12384,plain,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),e22)
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),e23)
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(e22,h11(e10))
| h11(op1(e11,e11)) != op2(e22,e22)
| h11(op1(e11,e12)) != op2(e22,h11(e12))
| h11(op1(e11,e13)) != h15(e14)
| h11(op1(e11,e14)) != op2(e22,h11(e14))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e22)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e23)
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e12)) != op2(e23,h11(e12))
| h11(op1(e13,e13)) != op2(e23,e23)
| h11(op1(e13,e14)) != e22
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),e22)
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != op2(h11(e14),e23)
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e12) != e24 ),
inference('REWRITE',[status(thm)],[12078,12364,theory(equality)]) ).
cnf(12392,plain,
h11(e10) = op2(h11(e14),e23),
inference('REWRITE',[status(thm)],[570,573,theory(equality)]) ).
cnf(12412,plain,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),e22)
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),e23)
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(e22,h11(e10))
| h11(op1(e11,e11)) != op2(e22,e22)
| h11(op1(e11,e12)) != op2(e22,h11(e12))
| h11(op1(e11,e13)) != h15(e14)
| h11(op1(e11,e14)) != op2(e22,h11(e14))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e22)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e23)
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e12)) != op2(e23,h11(e12))
| h11(op1(e13,e13)) != op2(e23,e23)
| h11(op1(e13,e14)) != e22
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),e22)
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != h11(e10)
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e12) != e24 ),
inference('REWRITE',[status(thm)],[12384,12392,theory(equality)]) ).
cnf(12424,plain,
op2(e21,e21) != h10(e14),
inference('REWRITE',[status(thm)],[365,567,theory(equality)]) ).
cnf(12483,plain,
( h9(e14) = e20
| h9(e14) = e21
| h9(e14) = e22
| h9(e14) = e23
| h9(e14) = e24 ),
inference('REWRITE',[status(thm)],[103,561,theory(equality)]) ).
cnf(12485,plain,
( h9(e14) = e21
| h10(e14) = e21
| op2(e22,e22) = e21
| h11(e14) = e21
| h12(e14) = e21 ),
inference('REWRITE',[status(thm)],[149,579,573,567,561,theory(equality)]) ).
cnf(12487,plain,
( h9(e14) = e23
| h10(e14) = e23
| op2(e22,e22) = e23
| h11(e14) = e23
| h12(e14) = e23 ),
inference('REWRITE',[status(thm)],[153,579,573,567,561,theory(equality)]) ).
cnf(12490,plain,
h9(e14) != op2(e22,e22),
inference('REWRITE',[status(thm)],[322,561,theory(equality)]) ).
cnf(12492,plain,
h9(e14) != h12(e14),
inference('REWRITE',[status(thm)],[324,579,561,theory(equality)]) ).
cnf(12493,plain,
op2(e20,e20) != h9(e14),
inference('REWRITE',[status(thm)],[352,561,theory(equality)]) ).
cnf(12494,plain,
h9(e14) != h13(e14),
inference('REWRITE',[status(thm)],[358,585,561,theory(equality)]) ).
cnf(12555,plain,
op2(e21,e21) != h8(e14),
inference('REWRITE',[status(thm)],[317,555,theory(equality)]) ).
cnf(12615,plain,
op2(h16(e14),h20(e14)) = e23,
inference('REWRITE',[status(thm)],[195,631,607,545,theory(equality)]) ).
cnf(12616,plain,
op2(h20(e14),h16(e14)) = e24,
inference('REWRITE',[status(thm)],[199,607,631,545,theory(equality)]) ).
cnf(12619,plain,
op2(e23,e23) != h16(e14),
inference('REWRITE',[status(thm)],[340,607,545,theory(equality)]) ).
cnf(12620,plain,
h8(e14) != h16(e14),
inference('REWRITE',[status(thm)],[396,607,555,545,theory(equality)]) ).
cnf(12623,plain,
op2(e24,h16(e14)) = e23,
inference('REWRITE',[status(thm)],[494,607,545,theory(equality)]) ).
cnf(12660,plain,
h6(e14) != op2(e22,e22),
inference('REWRITE',[status(thm)],[375,541,theory(equality)]) ).
cnf(12662,plain,
op2(e22,h6(e14)) = e21,
inference('REWRITE',[status(thm)],[482,541,theory(equality)]) ).
cnf(12724,plain,
h5(e14) != op2(e21,e21),
inference('REWRITE',[status(thm)],[311,535,theory(equality)]) ).
cnf(12728,plain,
h5(e14) != h9(e14),
inference('REWRITE',[status(thm)],[355,561,535,theory(equality)]) ).
cnf(12731,plain,
op2(e20,h5(e14)) = e21,
inference('REWRITE',[status(thm)],[472,535,theory(equality)]) ).
cnf(12759,plain,
h5(e10) = op2(h5(e14),e20),
inference('REWRITE',[status(thm)],[532,535,theory(equality)]) ).
cnf(12790,plain,
( h4(e14) = e22
| h8(e14) = e22
| h12(e14) = e22
| h16(e14) = e22
| op2(e24,e24) = e22 ),
inference('REWRITE',[status(thm)],[170,11931,579,555,529,theory(equality)]) ).
cnf(12792,plain,
( h4(e14) = e24
| h8(e14) = e24
| h12(e14) = e24
| h16(e14) = e24
| op2(e24,e24) = e24 ),
inference('REWRITE',[status(thm)],[174,11931,579,555,529,theory(equality)]) ).
cnf(12797,plain,
h4(e14) != h12(e14),
inference('REWRITE',[status(thm)],[392,579,529,theory(equality)]) ).
cnf(12828,plain,
h4(e10) = op2(h4(e14),e24),
inference('REWRITE',[status(thm)],[526,529,theory(equality)]) ).
cnf(12861,plain,
( h13(e14) = e24
| h14(e14) = e24
| h15(e14) = e24
| op2(e23,e23) = e24
| h16(e14) = e24 ),
inference('REWRITE',[status(thm)],[165,11931,599,591,585,519,theory(equality)]) ).
cnf(12862,plain,
op2(h11(e14),h15(e14)) = e22,
inference('REWRITE',[status(thm)],[189,599,573,519,theory(equality)]) ).
cnf(12869,plain,
op2(e22,e22) != h15(e14),
inference('REWRITE',[status(thm)],[378,599,519,theory(equality)]) ).
cnf(12871,plain,
op2(e22,h15(e14)) = e23,
inference('REWRITE',[status(thm)],[484,599,519,theory(equality)]) ).
cnf(12914,plain,
h2(e14) != op2(e22,e22),
inference('REWRITE',[status(thm)],[372,515,theory(equality)]) ).
cnf(12986,plain,
h1(e14) != h14(e14),
inference('REWRITE',[status(thm)],[363,591,509,theory(equality)]) ).
cnf(12988,plain,
op2(e21,h1(e14)) = e20,
inference('REWRITE',[status(thm)],[476,509,theory(equality)]) ).
cnf(13016,plain,
h1(e10) = op2(h1(e14),e21),
inference('REWRITE',[status(thm)],[506,509,theory(equality)]) ).
cnf(13044,plain,
( h5(e14) = e20
| op2(e21,e21) = e20
| h6(e14) = e20
| h8(e14) = e20 ),
inference('REWRITE',[status(thm)],[137,555,414,541,535,503,theory(equality)]) ).
cnf(13053,plain,
op2(e21,e21) != e24,
inference('REWRITE',[status(thm)],[316,503,theory(equality)]) ).
cnf(13054,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference('REWRITE',[status(thm)],[107,13053]) ).
cnf(13059,plain,
h8(e14) != e24,
inference('REWRITE',[status(thm)],[320,555,503,theory(equality)]) ).
cnf(13061,plain,
( h4(e14) = e24
| h12(e14) = e24
| h16(e14) = e24
| op2(e24,e24) = e24 ),
inference('REWRITE',[status(thm)],[12792,13059]) ).
cnf(13062,plain,
h11(e14) != e24,
inference('REWRITE',[status(thm)],[385,573,503,theory(equality)]) ).
cnf(13063,plain,
( h11(e14) = e20
| h11(e14) = e21
| h11(e14) = e22
| h11(e14) = e23 ),
inference('REWRITE',[status(thm)],[12359,13062]) ).
cnf(13065,plain,
op2(e23,e23) != e24,
inference('REWRITE',[status(thm)],[386,503,theory(equality)]) ).
cnf(13066,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference('REWRITE',[status(thm)],[119,13065]) ).
cnf(13067,plain,
( h13(e14) = e24
| h14(e14) = e24
| h15(e14) = e24
| h16(e14) = e24 ),
inference('REWRITE',[status(thm)],[12861,13065]) ).
cnf(13071,plain,
h20(e14) = e21,
inference('REWRITE',[status(thm)],[487,631,503,theory(equality)]) ).
cnf(13072,plain,
op2(e23,e24) = e21,
inference('REWRITE',[status(thm)],[631,13071,theory(equality)]) ).
cnf(13076,plain,
op2(e23,e23) != e21,
inference('REWRITE',[status(thm)],[11686,13071,theory(equality)]) ).
cnf(13078,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference('REWRITE',[status(thm)],[13066,13076]) ).
cnf(13132,plain,
h11(e14) != e21,
inference('REWRITE',[status(thm)],[12363,13071,theory(equality)]) ).
cnf(13133,plain,
( h9(e14) = e21
| h10(e14) = e21
| op2(e22,e22) = e21
| h12(e14) = e21 ),
inference('REWRITE',[status(thm)],[12485,13132]) ).
cnf(13134,plain,
( h11(e14) = e20
| h11(e14) = e22
| h11(e14) = e23 ),
inference('REWRITE',[status(thm)],[13063,13132]) ).
cnf(13135,plain,
op2(h16(e14),e21) = e23,
inference('REWRITE',[status(thm)],[12615,13071,theory(equality)]) ).
cnf(13136,plain,
op2(e21,h16(e14)) = e24,
inference('REWRITE',[status(thm)],[12616,13071,theory(equality)]) ).
cnf(13168,plain,
h16(e14) = e20,
inference('REWRITE',[status(thm)],[500,11931,503,theory(equality)]) ).
cnf(13170,plain,
op2(e24,e23) = e20,
inference('REWRITE',[status(thm)],[11931,13168,theory(equality)]) ).
cnf(13172,plain,
h16(e10) = h17(e14),
inference('REWRITE',[status(thm)],[12022,613,13168,theory(equality)]) ).
cnf(13173,plain,
h16(e10) = op2(e20,e24),
inference('REWRITE',[status(thm)],[613,13172,theory(equality)]) ).
cnf(13246,plain,
op2(e23,e23) != e20,
inference('REWRITE',[status(thm)],[12619,13168,theory(equality)]) ).
cnf(13247,plain,
( op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference('REWRITE',[status(thm)],[13078,13246]) ).
cnf(13248,plain,
h8(e14) != e20,
inference('REWRITE',[status(thm)],[12620,13168,theory(equality)]) ).
cnf(13249,plain,
( h5(e14) = e20
| op2(e21,e21) = e20
| h6(e14) = e20 ),
inference('REWRITE',[status(thm)],[13044,13248]) ).
cnf(13257,plain,
h4(e14) = e23,
inference('REWRITE',[status(thm)],[12623,529,13168,theory(equality)]) ).
cnf(13258,plain,
op2(e24,e20) = e23,
inference('REWRITE',[status(thm)],[529,13257,theory(equality)]) ).
cnf(13265,plain,
h12(e14) != e23,
inference('REWRITE',[status(thm)],[12797,13257,theory(equality)]) ).
cnf(13266,plain,
( h9(e14) = e23
| h10(e14) = e23
| op2(e22,e22) = e23
| h11(e14) = e23 ),
inference('REWRITE',[status(thm)],[12487,13265]) ).
cnf(13271,plain,
h4(e10) = e21,
inference('REWRITE',[status(thm)],[12828,13072,13257,theory(equality)]) ).
cnf(13272,plain,
h4(e12) = h8(e14),
inference('REWRITE',[status(thm)],[528,555,13271,theory(equality)]) ).
cnf(13273,plain,
h4(e12) = op2(e24,e21),
inference('REWRITE',[status(thm)],[555,13272,theory(equality)]) ).
cnf(13303,plain,
op2(e21,e21) != h4(e12),
inference('REWRITE',[status(thm)],[12555,13272,theory(equality)]) ).
cnf(13355,plain,
( h4(e12) = e22
| h12(e14) = e22
| op2(e24,e24) = e22 ),
inference('REWRITE',[status(thm)],[12790,412,13272,418,13257,13168,theory(equality)]) ).
cnf(13361,plain,
( h12(e14) = e24
| op2(e24,e24) = e24 ),
inference('REWRITE',[status(thm)],[13061,414,420,13257,13168,theory(equality)]) ).
cnf(13362,plain,
( h13(e14) = e24
| h14(e14) = e24
| h15(e14) = e24 ),
inference('REWRITE',[status(thm)],[13067,414,13168,theory(equality)]) ).
cnf(13367,plain,
h5(e14) = e23,
inference('REWRITE',[status(thm)],[13135,535,13168,theory(equality)]) ).
cnf(13368,plain,
op2(e20,e21) = e23,
inference('REWRITE',[status(thm)],[535,13367,theory(equality)]) ).
cnf(13369,plain,
op2(e21,e21) != e23,
inference('REWRITE',[status(thm)],[12724,13367,theory(equality)]) ).
cnf(13370,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22 ),
inference('REWRITE',[status(thm)],[13054,13369]) ).
cnf(13375,plain,
h9(e14) != e23,
inference('REWRITE',[status(thm)],[12728,13367,theory(equality)]) ).
cnf(13376,plain,
( h9(e14) = e20
| h9(e14) = e21
| h9(e14) = e22
| h9(e14) = e24 ),
inference('REWRITE',[status(thm)],[12483,13375]) ).
cnf(13377,plain,
( h10(e14) = e23
| op2(e22,e22) = e23
| h11(e14) = e23 ),
inference('REWRITE',[status(thm)],[13266,13375]) ).
cnf(13381,plain,
h13(e14) = e21,
inference('REWRITE',[status(thm)],[12731,585,13367,theory(equality)]) ).
cnf(13382,plain,
op2(e20,e23) = e21,
inference('REWRITE',[status(thm)],[585,13381,theory(equality)]) ).
cnf(13388,plain,
h13(e10) = h1(e14),
inference('REWRITE',[status(thm)],[12270,509,13381,theory(equality)]) ).
cnf(13389,plain,
h13(e12) = op2(e20,h1(e14)),
inference('REWRITE',[status(thm)],[584,13388,theory(equality)]) ).
cnf(13402,plain,
h9(e14) != e21,
inference('REWRITE',[status(thm)],[12494,13381,theory(equality)]) ).
cnf(13403,plain,
( h10(e14) = e21
| op2(e22,e22) = e21
| h12(e14) = e21 ),
inference('REWRITE',[status(thm)],[13133,13402]) ).
cnf(13404,plain,
( h9(e14) = e20
| h9(e14) = e22
| h9(e14) = e24 ),
inference('REWRITE',[status(thm)],[13376,13402]) ).
cnf(13412,plain,
( h14(e14) = e24
| h15(e14) = e24 ),
inference('REWRITE',[status(thm)],[13362,417,13381,theory(equality)]) ).
cnf(13413,plain,
h5(e10) = e22,
inference('REWRITE',[status(thm)],[12759,502,13367,theory(equality)]) ).
cnf(13414,plain,
h5(e12) = h9(e14),
inference('REWRITE',[status(thm)],[534,561,13413,theory(equality)]) ).
cnf(13415,plain,
h5(e12) = op2(e20,e22),
inference('REWRITE',[status(thm)],[561,13414,theory(equality)]) ).
cnf(13418,plain,
h5(e12) != op2(e22,e22),
inference('REWRITE',[status(thm)],[12490,13414,theory(equality)]) ).
cnf(13420,plain,
h5(e12) != h12(e14),
inference('REWRITE',[status(thm)],[12492,13414,theory(equality)]) ).
cnf(13421,plain,
op2(e20,e20) != h5(e12),
inference('REWRITE',[status(thm)],[12493,13414,theory(equality)]) ).
cnf(13461,plain,
( h5(e12) = e20
| h5(e12) = e22
| h5(e12) = e24 ),
inference('REWRITE',[status(thm)],[13404,13414,theory(equality)]) ).
cnf(13499,plain,
( op2(e21,e21) = e20
| h6(e14) = e20 ),
inference('REWRITE',[status(thm)],[13249,413,13367,theory(equality)]) ).
cnf(13503,plain,
h1(e14) = e24,
inference('REWRITE',[status(thm)],[13136,509,13168,theory(equality)]) ).
cnf(13504,plain,
op2(e21,e20) = e24,
inference('REWRITE',[status(thm)],[509,13503,theory(equality)]) ).
cnf(13515,plain,
h14(e14) != e24,
inference('REWRITE',[status(thm)],[12986,13503,theory(equality)]) ).
cnf(13517,plain,
h15(e14) = e24,
inference('REWRITE',[status(thm)],[13412,13515]) ).
cnf(13544,plain,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),e22)
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),e23)
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(e22,h11(e10))
| h11(op1(e11,e11)) != op2(e22,e22)
| h11(op1(e11,e12)) != op2(e22,h11(e12))
| h11(op1(e11,e13)) != e24
| h11(op1(e11,e14)) != op2(e22,h11(e14))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e22)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e23)
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e12)) != op2(e23,h11(e12))
| h11(op1(e13,e13)) != op2(e23,e23)
| h11(op1(e13,e14)) != e22
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),e22)
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != h11(e10)
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e12) != e24 ),
inference('REWRITE',[status(thm)],[12412,13517,theory(equality)]) ).
cnf(13547,plain,
op2(h11(e14),e24) = e22,
inference('REWRITE',[status(thm)],[12862,13517,theory(equality)]) ).
cnf(13549,plain,
op2(e22,e22) != e24,
inference('REWRITE',[status(thm)],[12869,13517,theory(equality)]) ).
cnf(13550,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference('REWRITE',[status(thm)],[113,13549]) ).
cnf(13555,plain,
h19(e14) = e23,
inference('REWRITE',[status(thm)],[12871,625,13517,theory(equality)]) ).
cnf(13556,plain,
op2(e22,e24) = e23,
inference('REWRITE',[status(thm)],[625,13555,theory(equality)]) ).
cnf(13557,plain,
op2(e22,e22) != e23,
inference('REWRITE',[status(thm)],[11746,13555,theory(equality)]) ).
cnf(13558,plain,
( h10(e14) = e23
| h11(e14) = e23 ),
inference('REWRITE',[status(thm)],[13377,13557]) ).
cnf(13559,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22 ),
inference('REWRITE',[status(thm)],[13550,13557]) ).
cnf(13560,plain,
h19(e10) = h11(e14),
inference('REWRITE',[status(thm)],[11775,573,13555,theory(equality)]) ).
cnf(13561,plain,
h19(e12) = op2(e22,h11(e14)),
inference('REWRITE',[status(thm)],[624,13560,theory(equality)]) ).
cnf(13571,plain,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),e22)
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),e23)
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(e22,h11(e10))
| h11(op1(e11,e11)) != op2(e22,e22)
| h11(op1(e11,e12)) != op2(e22,h11(e12))
| h11(op1(e11,e13)) != e24
| h11(op1(e11,e14)) != h19(e12)
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e22)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e23)
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e12)) != op2(e23,h11(e12))
| h11(op1(e13,e13)) != op2(e23,e23)
| h11(op1(e13,e14)) != e22
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),e22)
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != h11(e10)
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e12) != e24 ),
inference('REWRITE',[status(thm)],[13544,13561,theory(equality)]) ).
cnf(13583,plain,
op2(h12(e14),e23) = e22,
inference('REWRITE',[status(thm)],[12299,13555,theory(equality)]) ).
cnf(13613,plain,
h18(e14) = e20,
inference('REWRITE',[status(thm)],[12988,619,13503,theory(equality)]) ).
cnf(13614,plain,
op2(e21,e24) = e20,
inference('REWRITE',[status(thm)],[619,13613,theory(equality)]) ).
cnf(13615,plain,
op2(e21,e21) != e20,
inference('REWRITE',[status(thm)],[11807,13613,theory(equality)]) ).
cnf(13616,plain,
( op2(e21,e21) = e21
| op2(e21,e21) = e22 ),
inference('REWRITE',[status(thm)],[13370,13615]) ).
cnf(13617,plain,
h6(e14) = e20,
inference('REWRITE',[status(thm)],[13499,13615]) ).
cnf(13618,plain,
op2(e22,e21) = e20,
inference('REWRITE',[status(thm)],[541,13617,theory(equality)]) ).
cnf(13639,plain,
op2(e22,e22) != e20,
inference('REWRITE',[status(thm)],[12660,13617,theory(equality)]) ).
cnf(13641,plain,
( op2(e22,e22) = e21
| op2(e22,e22) = e22 ),
inference('REWRITE',[status(thm)],[13559,13639]) ).
cnf(13642,plain,
h2(e14) = e21,
inference('REWRITE',[status(thm)],[12662,515,13617,theory(equality)]) ).
cnf(13643,plain,
op2(e22,e20) = e21,
inference('REWRITE',[status(thm)],[515,13642,theory(equality)]) ).
cnf(13644,plain,
op2(e22,e22) != e21,
inference('REWRITE',[status(thm)],[12914,13642,theory(equality)]) ).
cnf(13645,plain,
( h10(e14) = e21
| h12(e14) = e21 ),
inference('REWRITE',[status(thm)],[13403,13644]) ).
cnf(13646,plain,
op2(e22,e22) = e22,
inference('REWRITE',[status(thm)],[13641,13644]) ).
cnf(13647,plain,
h12(e14) != e22,
inference('REWRITE',[status(thm)],[12301,13646,theory(equality)]) ).
cnf(13649,plain,
( h4(e12) = e22
| op2(e24,e24) = e22 ),
inference('REWRITE',[status(thm)],[13355,13647]) ).
cnf(13650,plain,
h11(e14) != e22,
inference('REWRITE',[status(thm)],[12360,13646,theory(equality)]) ).
cnf(13651,plain,
( h11(e14) = e20
| h11(e14) = e23 ),
inference('REWRITE',[status(thm)],[13134,13650]) ).
cnf(13654,plain,
h5(e12) != e22,
inference('REWRITE',[status(thm)],[13418,13646,theory(equality)]) ).
cnf(13655,plain,
( h5(e12) = e20
| h5(e12) = e24 ),
inference('REWRITE',[status(thm)],[13461,13654]) ).
cnf(13666,plain,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),e22)
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),e23)
| h11(op1(e10,e14)) != op2(h11(e10),h11(e14))
| h11(op1(e11,e10)) != op2(e22,h11(e10))
| h11(op1(e11,e11)) != e22
| h11(op1(e11,e12)) != op2(e22,h11(e12))
| h11(op1(e11,e13)) != e24
| h11(op1(e11,e14)) != h19(e12)
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e22)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e23)
| h11(op1(e12,e14)) != op2(h11(e12),h11(e14))
| h11(op1(e13,e12)) != op2(e23,h11(e12))
| h11(op1(e13,e13)) != op2(e23,e23)
| h11(op1(e13,e14)) != e22
| h11(op1(e14,e10)) != op2(h11(e14),h11(e10))
| h11(op1(e14,e11)) != op2(h11(e14),e22)
| h11(op1(e14,e12)) != op2(h11(e14),h11(e12))
| h11(op1(e14,e13)) != h11(e10)
| h11(op1(e14,e14)) != op2(h11(e14),h11(e14))
| h11(e14) != e20
| h11(e10) != e21
| h11(e12) != e24 ),
inference('REWRITE',[status(thm)],[13571,13646,theory(equality)]) ).
cnf(13793,plain,
h1(e10) = h4(e12),
inference('REWRITE',[status(thm)],[13016,13273,13503,theory(equality)]) ).
cnf(13795,plain,
h1(e10) = op2(e24,e21),
inference('REWRITE',[status(thm)],[13273,13793,theory(equality)]) ).
cnf(13796,plain,
op2(e21,e21) != h1(e10),
inference('REWRITE',[status(thm)],[13303,13793,theory(equality)]) ).
cnf(13806,plain,
( h1(e10) = e22
| op2(e24,e24) = e22 ),
inference('REWRITE',[status(thm)],[13649,13793,theory(equality)]) ).
cnf(13829,plain,
h13(e12) = h16(e10),
inference('REWRITE',[status(thm)],[13389,13173,13503,theory(equality)]) ).
cnf(13832,plain,
h13(e12) = op2(e20,e24),
inference('REWRITE',[status(thm)],[13173,13829,theory(equality)]) ).
cnf(13874,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[127,413,13258,412,411,13643,414,13504,502,theory(equality)]) ).
cnf(13875,plain,
h5(e12) != e20,
inference('REWRITE',[status(thm)],[13421,13874,theory(equality)]) ).
cnf(13876,plain,
h5(e12) = e24,
inference('REWRITE',[status(thm)],[13655,13875]) ).
cnf(13878,plain,
op2(e20,e22) = e24,
inference('REWRITE',[status(thm)],[13415,13876,theory(equality)]) ).
cnf(13879,plain,
h12(e14) != e24,
inference('REWRITE',[status(thm)],[13420,13876,theory(equality)]) ).
cnf(13880,plain,
op2(e24,e24) = e24,
inference('REWRITE',[status(thm)],[13361,13879]) ).
cnf(13897,plain,
h1(e10) = e22,
inference('REWRITE',[status(thm)],[13806,419,13880,theory(equality)]) ).
cnf(13898,plain,
h1(e12) = h10(e14),
inference('REWRITE',[status(thm)],[508,567,13897,theory(equality)]) ).
cnf(13899,plain,
h1(e12) = op2(e21,e22),
inference('REWRITE',[status(thm)],[567,13898,theory(equality)]) ).
cnf(13902,plain,
op2(e21,e21) != h1(e12),
inference('REWRITE',[status(thm)],[12424,13898,theory(equality)]) ).
cnf(13907,plain,
( h1(e12) = e23
| h11(e14) = e23 ),
inference('REWRITE',[status(thm)],[13558,13898,theory(equality)]) ).
cnf(13911,plain,
( h1(e12) = e21
| h12(e14) = e21 ),
inference('REWRITE',[status(thm)],[13645,13898,theory(equality)]) ).
cnf(13932,plain,
op2(e24,e21) = e22,
inference('REWRITE',[status(thm)],[13795,13897,theory(equality)]) ).
cnf(13933,plain,
op2(e21,e21) != e22,
inference('REWRITE',[status(thm)],[13796,13897,theory(equality)]) ).
cnf(13934,plain,
op2(e21,e21) = e21,
inference('REWRITE',[status(thm)],[13616,13933]) ).
cnf(13947,plain,
h1(e12) != e21,
inference('REWRITE',[status(thm)],[13902,13934,theory(equality)]) ).
cnf(13948,plain,
h12(e14) = e21,
inference('REWRITE',[status(thm)],[13911,13947]) ).
cnf(13949,plain,
op2(e24,e22) = e21,
inference('REWRITE',[status(thm)],[579,13948,theory(equality)]) ).
cnf(13954,plain,
h14(e14) = e22,
inference('REWRITE',[status(thm)],[13583,591,13948,theory(equality)]) ).
cnf(13955,plain,
op2(e21,e23) = e22,
inference('REWRITE',[status(thm)],[591,13954,theory(equality)]) ).
cnf(13956,plain,
op2(e23,e23) != e22,
inference('REWRITE',[status(thm)],[12178,13954,theory(equality)]) ).
cnf(13957,plain,
op2(e23,e23) = e23,
inference('REWRITE',[status(thm)],[13247,13956]) ).
cnf(13958,plain,
h11(e14) != e23,
inference('REWRITE',[status(thm)],[12362,13957,theory(equality)]) ).
cnf(13959,plain,
h11(e14) = e20,
inference('REWRITE',[status(thm)],[13651,13958]) ).
cnf(13961,plain,
h11(e10) = e21,
inference('REWRITE',[status(thm)],[12392,13382,13959,theory(equality)]) ).
cnf(13962,plain,
h11(e12) = e24,
inference('REWRITE',[status(thm)],[572,503,13961,theory(equality)]) ).
cnf(13963,plain,
h13(e12) = e22,
inference('REWRITE',[status(thm)],[13547,13832,13959,theory(equality)]) ).
cnf(13967,plain,
op2(e20,e24) = e22,
inference('REWRITE',[status(thm)],[13832,13963,theory(equality)]) ).
cnf(13971,plain,
h19(e12) = e21,
inference('REWRITE',[status(thm)],[13561,13643,13959,theory(equality)]) ).
cnf(13972,plain,
h1(e12) = e23,
inference('REWRITE',[status(thm)],[13907,13958]) ).
cnf(13974,plain,
op2(e21,e22) = e23,
inference('REWRITE',[status(thm)],[13899,13972,theory(equality)]) ).
cnf(13979,plain,
( h11(op1(e10,e10)) != e21
| h11(op1(e10,e11)) != e23
| h11(op1(e10,e12)) != e20
| h11(op1(e10,e13)) != e22
| h11(op1(e10,e14)) != e24
| h11(op1(e11,e10)) != e20
| h11(op1(e11,e11)) != e22
| h11(op1(e11,e12)) != e23
| h11(op1(e11,e13)) != e24
| h11(op1(e11,e14)) != e21
| h11(op1(e12,e10)) != e22
| h11(op1(e12,e11)) != e21
| h11(op1(e12,e12)) != e24
| h11(op1(e12,e13)) != e20
| h11(op1(e12,e14)) != e23
| h11(op1(e13,e12)) != e21
| h11(op1(e13,e13)) != e23
| h11(op1(e13,e14)) != e22
| h11(op1(e14,e10)) != e23
| h11(op1(e14,e11)) != e24
| h11(op1(e14,e12)) != e22
| h11(op1(e14,e13)) != e21
| h11(op1(e14,e14)) != e20 ),
inference('REWRITE',[status(thm)],[13666,13874,13967,13878,13368,13072,13258,13170,13880,13949,13932,13971,13556,13618,13504,13959,13955,13614,13962,13974,13934,13961,13957,theory(equality)]) ).
cnf(14010,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e14,e11) = e10 ),
inference('REWRITE',[status(thm)],[37,404,499,theory(equality)]) ).
cnf(14019,plain,
op1(e11,e11) != e14,
inference('REWRITE',[status(thm)],[216,499,theory(equality)]) ).
cnf(14020,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[7,14019]) ).
cnf(14025,plain,
op1(e14,e11) != e14,
inference('REWRITE',[status(thm)],[220,499,theory(equality)]) ).
cnf(14026,plain,
( op1(e14,e11) = e10
| op1(e14,e11) = e11
| op1(e14,e11) = e12
| op1(e14,e11) = e13 ),
inference('REWRITE',[status(thm)],[22,14025]) ).
cnf(14027,plain,
( op1(e14,e10) = e14
| op1(e14,e12) = e14
| op1(e14,e13) = e14
| op1(e14,e14) = e14 ),
inference('REWRITE',[status(thm)],[74,14025]) ).
cnf(14031,plain,
op1(e13,e13) != e14,
inference('REWRITE',[status(thm)],[286,499,theory(equality)]) ).
cnf(14032,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[19,14031]) ).
cnf(14033,plain,
( op1(e10,e13) = e14
| op1(e11,e13) = e14
| op1(e12,e13) = e14
| op1(e14,e13) = e14 ),
inference('REWRITE',[status(thm)],[65,14031]) ).
cnf(14037,plain,
op1(e13,e14) = e11,
inference('REWRITE',[status(thm)],[462,499,theory(equality)]) ).
cnf(14041,plain,
op1(op1(e14,e13),e11) = e13,
inference('REWRITE',[status(thm)],[95,14037,theory(equality)]) ).
cnf(14042,plain,
op1(e11,op1(e14,e13)) = e14,
inference('REWRITE',[status(thm)],[99,14037,theory(equality)]) ).
cnf(14043,plain,
op1(e10,e14) != e11,
inference('REWRITE',[status(thm)],[243,14037,theory(equality)]) ).
cnf(14044,plain,
( op1(e10,e14) = e10
| op1(e10,e14) = e12
| op1(e10,e14) = e13
| op1(e10,e14) = e14 ),
inference('REWRITE',[status(thm)],[5,14043]) ).
cnf(14058,plain,
op1(e13,e13) != e11,
inference('REWRITE',[status(thm)],[290,14037,theory(equality)]) ).
cnf(14060,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[14032,14058]) ).
cnf(14061,plain,
( h11(op1(e10,e10)) != e21
| h11(op1(e10,e11)) != e23
| h11(op1(e10,e12)) != e20
| h11(op1(e10,e13)) != e22
| h11(op1(e10,e14)) != e24
| h11(op1(e11,e10)) != e20
| h11(op1(e11,e11)) != e22
| h11(op1(e11,e12)) != e23
| h11(op1(e11,e13)) != e24
| h11(op1(e11,e14)) != e21
| h11(op1(e12,e10)) != e22
| h11(op1(e12,e11)) != e21
| h11(op1(e12,e12)) != e24
| h11(op1(e12,e13)) != e20
| h11(op1(e12,e14)) != e23
| h11(op1(e13,e12)) != e21
| h11(op1(e13,e13)) != e23
| h11(op1(e14,e10)) != e23
| h11(op1(e14,e11)) != e24
| h11(op1(e14,e12)) != e22
| h11(op1(e14,e13)) != e21
| h11(op1(e14,e14)) != e20 ),
inference('REWRITE',[status(thm)],[13979,568,14037,theory(equality)]) ).
cnf(14081,plain,
op1(e14,e13) = e10,
inference('REWRITE',[status(thm)],[496,499,theory(equality)]) ).
cnf(14089,plain,
op1(e11,e13) != e10,
inference('REWRITE',[status(thm)],[237,14081,theory(equality)]) ).
cnf(14090,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13
| op1(e11,e13) = e14 ),
inference('REWRITE',[status(thm)],[9,14089]) ).
cnf(14095,plain,
op1(e13,e13) != e10,
inference('REWRITE',[status(thm)],[240,14081,theory(equality)]) ).
cnf(14096,plain,
( op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[14060,14095]) ).
cnf(14099,plain,
op1(e14,e11) != e10,
inference('REWRITE',[status(thm)],[296,14081,theory(equality)]) ).
cnf(14100,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference('REWRITE',[status(thm)],[14010,14099]) ).
cnf(14101,plain,
( op1(e14,e11) = e11
| op1(e14,e11) = e12
| op1(e14,e11) = e13 ),
inference('REWRITE',[status(thm)],[14026,14099]) ).
cnf(14108,plain,
op1(e14,e10) = e13,
inference('REWRITE',[status(thm)],[469,14081,theory(equality)]) ).
cnf(14109,plain,
op1(e13,op1(e10,e14)) = e10,
inference('REWRITE',[status(thm)],[80,14108,theory(equality)]) ).
cnf(14120,plain,
op1(e14,e11) != e13,
inference('REWRITE',[status(thm)],[291,14108,theory(equality)]) ).
cnf(14122,plain,
( op1(e14,e11) = e11
| op1(e14,e11) = e12 ),
inference('REWRITE',[status(thm)],[14101,14120]) ).
cnf(14123,plain,
op1(e14,e12) != e13,
inference('REWRITE',[status(thm)],[292,14108,theory(equality)]) ).
cnf(14124,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[53,14123]) ).
cnf(14130,plain,
( op1(e14,e12) = e14
| op1(e14,e14) = e14 ),
inference('REWRITE',[status(thm)],[14027,404,410,14108,14081,theory(equality)]) ).
cnf(14131,plain,
( op1(e10,e13) = e14
| op1(e11,e13) = e14
| op1(e12,e13) = e14 ),
inference('REWRITE',[status(thm)],[14033,404,14081,theory(equality)]) ).
cnf(14132,plain,
op1(e10,e11) = e13,
inference('REWRITE',[status(thm)],[14041,14081,theory(equality)]) ).
cnf(14136,plain,
op1(e11,e11) != e13,
inference('REWRITE',[status(thm)],[211,14132,theory(equality)]) ).
cnf(14137,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference('REWRITE',[status(thm)],[14020,14136]) ).
cnf(14142,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[255,14132,theory(equality)]) ).
cnf(14143,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e14 ),
inference('REWRITE',[status(thm)],[3,14142]) ).
cnf(14144,plain,
( op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[14124,14142]) ).
cnf(14148,plain,
op1(e10,e14) != e13,
inference('REWRITE',[status(thm)],[257,14132,theory(equality)]) ).
cnf(14149,plain,
( op1(e10,e14) = e10
| op1(e10,e14) = e12
| op1(e10,e14) = e14 ),
inference('REWRITE',[status(thm)],[14044,14148]) ).
cnf(14151,plain,
op1(e10,e13) = e11,
inference('REWRITE',[status(thm)],[447,14132,theory(equality)]) ).
cnf(14152,plain,
op1(e11,e13) != e11,
inference('REWRITE',[status(thm)],[231,14151,theory(equality)]) ).
cnf(14154,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13
| op1(e11,e13) = e14 ),
inference('REWRITE',[status(thm)],[14090,14152]) ).
cnf(14160,plain,
op1(e10,e12) != e11,
inference('REWRITE',[status(thm)],[258,14151,theory(equality)]) ).
cnf(14162,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12
| op1(e10,e12) = e14 ),
inference('REWRITE',[status(thm)],[14143,14160]) ).
cnf(14165,plain,
( op1(e11,e13) = e14
| op1(e12,e13) = e14 ),
inference('REWRITE',[status(thm)],[14131,407,14151,theory(equality)]) ).
cnf(14170,plain,
( op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference('REWRITE',[status(thm)],[14100,403,14132,theory(equality)]) ).
cnf(14171,plain,
op1(e11,e10) = e14,
inference('REWRITE',[status(thm)],[14042,14081,theory(equality)]) ).
cnf(14182,plain,
op1(e11,e13) != e14,
inference('REWRITE',[status(thm)],[263,14171,theory(equality)]) ).
cnf(14183,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[14154,14182]) ).
cnf(14184,plain,
op1(e12,e13) = e14,
inference('REWRITE',[status(thm)],[14165,14182]) ).
cnf(14188,plain,
op1(e12,e12) != e14,
inference('REWRITE',[status(thm)],[278,14184,theory(equality)]) ).
cnf(14189,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[13,14188]) ).
cnf(14194,plain,
op1(e12,e14) = e13,
inference('REWRITE',[status(thm)],[459,14184,theory(equality)]) ).
cnf(14200,plain,
op1(e12,e12) != e13,
inference('REWRITE',[status(thm)],[279,14194,theory(equality)]) ).
cnf(14201,plain,
( op1(e11,e12) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[14144,14200]) ).
cnf(14202,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[14189,14200]) ).
cnf(14212,plain,
op1(e11,e14) = e10,
inference('REWRITE',[status(thm)],[451,14171,theory(equality)]) ).
cnf(14215,plain,
op1(e10,e14) != e10,
inference('REWRITE',[status(thm)],[241,14212,theory(equality)]) ).
cnf(14216,plain,
( op1(e10,e14) = e12
| op1(e10,e14) = e14 ),
inference('REWRITE',[status(thm)],[14149,14215]) ).
cnf(14218,plain,
op1(e11,e11) != e10,
inference('REWRITE',[status(thm)],[267,14212,theory(equality)]) ).
cnf(14219,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference('REWRITE',[status(thm)],[14137,14218]) ).
cnf(14220,plain,
op1(e12,e11) = e10,
inference('REWRITE',[status(thm)],[14170,14218]) ).
cnf(14225,plain,
op1(e12,e12) != e10,
inference('REWRITE',[status(thm)],[275,14220,theory(equality)]) ).
cnf(14227,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[14202,14225]) ).
cnf(14228,plain,
op1(e12,e10) = e11,
inference('REWRITE',[status(thm)],[457,14220,theory(equality)]) ).
cnf(14231,plain,
op1(e12,e12) != e11,
inference('REWRITE',[status(thm)],[272,14228,theory(equality)]) ).
cnf(14233,plain,
op1(e12,e12) = e12,
inference('REWRITE',[status(thm)],[14227,14231]) ).
cnf(14234,plain,
op1(e10,e12) != e12,
inference('REWRITE',[status(thm)],[222,14233,theory(equality)]) ).
cnf(14235,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e14 ),
inference('REWRITE',[status(thm)],[14162,14234]) ).
cnf(14253,plain,
( h11(op1(e10,e10)) != e21
| h11(op1(e10,e12)) != e20
| h11(op1(e10,e14)) != e24
| h11(op1(e11,e11)) != e22
| h11(op1(e11,e12)) != e23
| h11(op1(e11,e13)) != e24
| h11(op1(e13,e12)) != e21
| h11(op1(e13,e13)) != e23
| h11(op1(e14,e11)) != e24
| h11(op1(e14,e12)) != e22
| h11(op1(e14,e14)) != e20 ),
inference('REWRITE',[status(thm)],[14061,14108,14194,14184,13962,14233,14220,14228,13961,14212,13959,14171,568,14151,569,14132,14081,theory(equality)]) ).
cnf(14273,plain,
op1(e10,e10) = e10,
inference('REWRITE',[status(thm)],[27,403,14108,402,401,14228,404,14171,498,theory(equality)]) ).
cnf(14274,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[252,14273,theory(equality)]) ).
cnf(14275,plain,
op1(e10,e12) = e14,
inference('REWRITE',[status(thm)],[14235,14274]) ).
cnf(14276,plain,
op1(e14,e12) != e14,
inference('REWRITE',[status(thm)],[224,14275,theory(equality)]) ).
cnf(14277,plain,
op1(e14,e14) = e14,
inference('REWRITE',[status(thm)],[14130,14276]) ).
cnf(14278,plain,
op1(e10,e14) != e14,
inference('REWRITE',[status(thm)],[244,14277,theory(equality)]) ).
cnf(14279,plain,
op1(e10,e14) = e12,
inference('REWRITE',[status(thm)],[14216,14278]) ).
cnf(14280,plain,
op1(e13,e12) = e10,
inference('REWRITE',[status(thm)],[14109,14279,theory(equality)]) ).
cnf(14281,plain,
op1(e11,e12) = e13,
inference('REWRITE',[status(thm)],[14201,403,14280,theory(equality)]) ).
cnf(14282,plain,
op1(e11,e13) != e13,
inference('REWRITE',[status(thm)],[268,14281,theory(equality)]) ).
cnf(14283,plain,
op1(e11,e13) = e12,
inference('REWRITE',[status(thm)],[14183,14282]) ).
cnf(14284,plain,
op1(e13,e13) != e12,
inference('REWRITE',[status(thm)],[236,14283,theory(equality)]) ).
cnf(14285,plain,
op1(e13,e13) = e13,
inference('REWRITE',[status(thm)],[14096,14284]) ).
cnf(14286,plain,
op1(e11,e11) != e12,
inference('REWRITE',[status(thm)],[266,14283,theory(equality)]) ).
cnf(14287,plain,
op1(e11,e11) = e11,
inference('REWRITE',[status(thm)],[14219,14286]) ).
cnf(14288,plain,
op1(e14,e11) != e11,
inference('REWRITE',[status(thm)],[217,14287,theory(equality)]) ).
cnf(14289,plain,
op1(e14,e11) = e12,
inference('REWRITE',[status(thm)],[14122,14288]) ).
cnf(14290,plain,
op1(e14,e12) = e11,
inference('REWRITE',[status(thm)],[467,14289,theory(equality)]) ).
cnf(14291,plain,
$false,
inference('REWRITE',[status(thm)],[14253,14277,14290,14289,14285,14280,14283,569,14281,568,14287,13962,14279,13959,14275,13961,14273,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG168+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 22:50:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T22:50:34
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-08T22:50:34
% 104.08/104.31
% 104.08/104.31
% 104.08/104.31 #||
% 104.08/104.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 104.08/104.31 % SZS output start Refutation
% See solution above
% 104.14/104.35 ||#
% 104.14/104.35
% 104.14/104.35 ; Summary of computation:
% 104.14/104.35 ; 74408 formulas have been input or derived (from 1 formulas).
% 104.14/104.35 ; 14291 (19%) were retained. Of these,
% 104.14/104.35 ; 14095 (99%) were simplified or subsumed later,
% 104.14/104.35 ; 196 ( 1%) are still being kept.
% 104.14/104.35 ;
% 104.14/104.35 ; Run time in seconds excluding printing time:
% 104.14/104.35 ; 0.124 0% Read assertion file (1 call)
% 104.14/104.35 ; 45.445 44% Assert (36 calls)
% 104.14/104.35 ; 3.054 3% Process new row (66,341 calls)
% 104.14/104.35 ; 0.049 0% Condensing (10,254 calls)
% 104.14/104.35 ; 3.895 4% Forward subsumption (10,254 calls)
% 104.14/104.35 ; 2.140 2% Backward subsumption (5,318 calls)
% 104.14/104.35 ; 8.235 8% Clause clause subsumption (41,571 calls)
% 104.14/104.35 ; 39.370 38% Forward simplification (66,341 calls)
% 104.14/104.36 ; 0.942 1% Backward simplification (6,269 calls)
% 104.14/104.36 ; 0.002 0% Ordering (456 calls)
% 104.14/104.36 ; 0.000 0% Sortal reasoning (32 calls)
% 104.14/104.36 ; 0.324 0% Purity testing (1 call)
% 104.14/104.36 ; 0.246 0% Other
% 104.14/104.36 ; 103.826 Total
% 104.14/104.36 ; 103.893 Real time
% 104.14/104.36 ;
% 104.14/104.36 ; Term-hash-array has 3,611 terms in all.
% 104.14/104.36 ; Feature-vector-row-index has 0 entries (614 at peak, 5,318 added, 5,318 deleted).
% 104.14/104.36 ; Feature-vector-row-index has 1 node (4,904 at peak, 73,782 added, 73,781 deleted).
% 104.14/104.36 ; Retrieved 60,307 possibly forward subsuming rows in 10,254 calls.
% 104.14/104.36 ; Retrieved 10,049 possibly backward subsumed rows in 5,318 calls.
% 104.14/104.36 ; Path-index has 355 entries (2,303 at peak, 14,833 added, 14,478 deleted).
% 104.14/104.36 ; Path-index has 538 nodes (1,242 at peak, 5,809 added, 5,271 deleted).
% 104.14/104.36 ; Trie-index has 355 entries (2,303 at peak, 14,833 added, 14,478 deleted).
% 104.14/104.36 ; Trie-index has 581 nodes (5,441 at peak, 33,452 added, 32,871 deleted).
% 104.14/104.36 ; Retrieved 1,808,704 generalization terms in 9,930,818 calls.
% 104.14/104.36 ; Retrieved 950 instance terms in 950 calls.
% 104.14/104.36 ;
% 104.14/104.36 ; The agenda of backward simplifiable rows to process has 39 entries:
% 104.14/104.36 ; 39 with value 0
% 104.14/104.36 ; The agenda of input rows to give has 195 entries:
% 104.14/104.36 ; 45 with value 4 100 with value 6 50 with value 7
% 104.14/104.36 Evaluation took:
% 104.14/104.36 103.893 seconds of real time
% 104.14/104.36 103.17693 seconds of user run time
% 104.14/104.36 0.695199 seconds of system run time
% 104.14/104.36 [Run times include 2.295 seconds GC run time.]
% 104.14/104.36 0 calls to %EVAL
% 104.14/104.36 0 page faults and
% 104.14/104.36 4,852,699,784 bytes consed.
% 104.14/104.36 :PROOF-FOUND
% 104.14/104.36 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T22:52:18
% 104.14/104.36 :PROOF-FOUND
% 104.14/104.36 *
%------------------------------------------------------------------------------