TSTP Solution File: ALG169+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG169+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 18:00:04 EDT 2022
% Result : Theorem 98.30s 98.54s
% Output : Refutation 98.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 165
% Syntax : Number of clauses : 475 ( 374 unt; 91 nHn; 475 RR)
% Number of literals : 932 ( 931 equ; 433 neg)
% Maximal clause size : 30 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13
| op1(e10,e10) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(8,axiom,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| op1(e11,e12) = 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(16,axiom,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13
| op1(e13,e10) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(18,axiom,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13
| op1(e13,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(20,axiom,
( op1(e13,e14) = e10
| op1(e13,e14) = e11
| op1(e13,e14) = e12
| op1(e13,e14) = e13
| op1(e13,e14) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(21,axiom,
( op1(e14,e10) = e10
| op1(e14,e10) = e11
| op1(e14,e10) = e12
| op1(e14,e10) = e13
| op1(e14,e10) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(25,axiom,
( op1(e14,e14) = e10
| op1(e14,e14) = e11
| op1(e14,e14) = e12
| op1(e14,e14) = e13
| op1(e14,e14) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(30,axiom,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12
| op1(e10,e14) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(39,axiom,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11
| op1(e14,e11) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(44,axiom,
( op1(e11,e10) = e14
| op1(e11,e11) = e14
| op1(e11,e12) = e14
| op1(e11,e13) = e14
| op1(e11,e14) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(78,axiom,
op1(op1(e12,e10),op1(e10,e12)) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(86,axiom,
op1(op1(e10,e12),op1(e12,e10)) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(93,axiom,
op1(op1(e12,e13),op1(e13,e12)) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(101,axiom,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23
| op2(e20,e20) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(108,axiom,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23
| op2(e21,e22) = 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(116,axiom,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23
| op2(e23,e20) = 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(120,axiom,
( op2(e23,e24) = e20
| op2(e23,e24) = e21
| op2(e23,e24) = e22
| op2(e23,e24) = e23
| op2(e23,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(125,axiom,
( op2(e24,e24) = e20
| op2(e24,e24) = e21
| op2(e24,e24) = e22
| op2(e24,e24) = e23
| op2(e24,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(130,axiom,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22
| op2(e20,e24) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(139,axiom,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21
| op2(e24,e21) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(144,axiom,
( op2(e21,e20) = e24
| op2(e21,e21) = e24
| op2(e21,e22) = e24
| op2(e21,e23) = e24
| op2(e21,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(178,axiom,
op2(op2(e22,e20),op2(e20,e22)) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(186,axiom,
op2(op2(e20,e22),op2(e22,e20)) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(193,axiom,
op2(op2(e22,e23),op2(e23,e22)) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(201,axiom,
op1(e10,e10) != op1(e11,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(202,axiom,
op1(e10,e10) != op1(e12,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(203,axiom,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(206,axiom,
op1(e11,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(207,axiom,
op1(e11,e10) != op1(e14,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(208,axiom,
op1(e12,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(209,axiom,
op1(e12,e10) != op1(e14,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(210,axiom,
op1(e13,e10) != op1(e14,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(214,axiom,
op1(e10,e11) != op1(e14,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(215,axiom,
op1(e11,e11) != op1(e12,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(221,axiom,
op1(e10,e12) != op1(e11,e12),
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(223,axiom,
op1(e10,e12) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(225,axiom,
op1(e11,e12) != op1(e12,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(227,axiom,
op1(e11,e12) != op1(e14,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(228,axiom,
op1(e12,e12) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(229,axiom,
op1(e12,e12) != op1(e14,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(230,axiom,
op1(e13,e12) != op1(e14,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(233,axiom,
op1(e10,e13) != op1(e13,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(238,axiom,
op1(e12,e13) != op1(e13,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(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(246,axiom,
op1(e11,e14) != op1(e13,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(250,axiom,
op1(e13,e14) != op1(e14,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(251,axiom,
op1(e10,e10) != op1(e10,e11),
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(257,axiom,
op1(e10,e11) != op1(e10,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(262,axiom,
op1(e11,e10) != op1(e11,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(265,axiom,
op1(e11,e11) != op1(e11,e12),
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(283,axiom,
op1(e13,e10) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(288,axiom,
op1(e13,e12) != 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(292,axiom,
op1(e14,e10) != op1(e14,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(294,axiom,
op1(e14,e10) != op1(e14,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(297,axiom,
op1(e14,e11) != op1(e14,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(299,axiom,
op1(e14,e12) != op1(e14,e14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(301,axiom,
op2(e20,e20) != op2(e21,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(302,axiom,
op2(e20,e20) != op2(e22,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(303,axiom,
op2(e20,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(306,axiom,
op2(e21,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(308,axiom,
op2(e22,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(314,axiom,
op2(e20,e21) != op2(e24,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(315,axiom,
op2(e21,e21) != op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(321,axiom,
op2(e20,e22) != op2(e21,e22),
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(323,axiom,
op2(e20,e22) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(325,axiom,
op2(e21,e22) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(327,axiom,
op2(e21,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(330,axiom,
op2(e23,e22) != op2(e24,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(333,axiom,
op2(e20,e23) != op2(e23,e23),
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(338,axiom,
op2(e22,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(343,axiom,
op2(e20,e24) != op2(e23,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(344,axiom,
op2(e20,e24) != op2(e24,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(346,axiom,
op2(e21,e24) != op2(e23,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(350,axiom,
op2(e23,e24) != op2(e24,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(351,axiom,
op2(e20,e20) != op2(e20,e21),
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(357,axiom,
op2(e20,e21) != op2(e20,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(362,axiom,
op2(e21,e20) != op2(e21,e22),
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(372,axiom,
op2(e22,e20) != op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(383,axiom,
op2(e23,e20) != 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(390,axiom,
op2(e23,e23) != op2(e23,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(394,axiom,
op2(e24,e20) != op2(e24,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(397,axiom,
op2(e24,e21) != op2(e24,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(399,axiom,
op2(e24,e22) != op2(e24,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(401,axiom,
e10 != e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(404,axiom,
e10 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(405,axiom,
e11 != e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(407,axiom,
e11 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(409,axiom,
e12 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(411,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(414,axiom,
e20 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(415,axiom,
e21 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(417,axiom,
e21 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(419,axiom,
e22 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(448,axiom,
op1(op1(e10,e12),e12) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(449,axiom,
op1(op1(e10,e13),e13) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(451,axiom,
op1(op1(e11,e10),e10) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(454,axiom,
op1(op1(e11,e13),e13) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(455,axiom,
op1(op1(e11,e14),e14) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(465,axiom,
op1(op1(e13,e14),e14) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(467,axiom,
op1(op1(e14,e11),e11) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(473,axiom,
op2(op2(e20,e22),e22) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(474,axiom,
op2(op2(e20,e23),e23) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(476,axiom,
op2(op2(e21,e20),e20) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(479,axiom,
op2(op2(e21,e23),e23) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(480,axiom,
op2(op2(e21,e24),e24) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(486,axiom,
op2(op2(e23,e20),e20) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(490,axiom,
op2(op2(e23,e24),e24) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(492,axiom,
op2(op2(e24,e21),e21) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(496,axiom,
op1(e13,e11) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(497,axiom,
e12 = op1(e11,op1(e13,e11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(498,plain,
op1(e11,e10) = e12,
inference('REWRITE',[status(thm)],[497,496,theory(equality)]) ).
cnf(499,axiom,
e14 = op1(op1(e13,e11),op1(e11,op1(e13,e11))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(500,plain,
op1(e10,e12) = e14,
inference('REWRITE',[status(thm)],[499,498,496,theory(equality)]) ).
cnf(501,axiom,
op2(e23,e21) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(502,axiom,
e22 = op2(e21,op2(e23,e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(503,plain,
op2(e21,e20) = e22,
inference('REWRITE',[status(thm)],[502,501,theory(equality)]) ).
cnf(504,axiom,
e24 = op2(op2(e23,e21),op2(e21,op2(e23,e21))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(505,plain,
op2(e20,e22) = e24,
inference('REWRITE',[status(thm)],[504,503,501,theory(equality)]) ).
cnf(516,axiom,
h2(e10) = op2(e22,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
cnf(517,axiom,
h2(e12) = op2(e20,op2(e22,e20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
cnf(518,plain,
h2(e12) = op2(e20,h2(e10)),
inference('REWRITE',[status(thm)],[517,516,theory(equality)]) ).
cnf(523,axiom,
h3(e10) = op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
cnf(530,axiom,
h4(e10) = op2(e24,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
cnf(537,axiom,
h5(e10) = op2(e20,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
cnf(544,axiom,
h6(e10) = op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
cnf(559,axiom,
h8(e10) = op2(e24,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
cnf(574,axiom,
h10(e10) = op2(e21,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
cnf(575,axiom,
h10(e12) = op2(e22,op2(e21,e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
cnf(576,plain,
h10(e12) = op2(e22,h10(e10)),
inference('REWRITE',[status(thm)],[575,574,theory(equality)]) ).
cnf(577,axiom,
h10(e14) = op2(op2(e21,e22),op2(e22,op2(e21,e22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
cnf(578,plain,
h10(e14) = op2(h10(e10),h10(e12)),
inference('REWRITE',[status(thm)],[577,576,574,theory(equality)]) ).
cnf(581,axiom,
h11(e10) = op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(588,axiom,
h12(e10) = op2(e24,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
cnf(589,axiom,
h12(e12) = op2(e22,op2(e24,e22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
cnf(590,plain,
h12(e12) = op2(e22,h12(e10)),
inference('REWRITE',[status(thm)],[589,588,theory(equality)]) ).
cnf(591,axiom,
h12(e14) = op2(op2(e24,e22),op2(e22,op2(e24,e22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
cnf(592,plain,
h12(e14) = op2(h12(e10),h12(e12)),
inference('REWRITE',[status(thm)],[591,590,588,theory(equality)]) ).
cnf(595,axiom,
h13(e10) = op2(e20,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
cnf(602,axiom,
h14(e10) = op2(e21,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
cnf(603,axiom,
h14(e12) = op2(e23,op2(e21,e23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
cnf(604,plain,
h14(e12) = op2(e23,h14(e10)),
inference('REWRITE',[status(thm)],[603,602,theory(equality)]) ).
cnf(605,axiom,
h14(e14) = op2(op2(e21,e23),op2(e23,op2(e21,e23))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
cnf(606,plain,
h14(e14) = op2(h14(e10),h14(e12)),
inference('REWRITE',[status(thm)],[605,604,602,theory(equality)]) ).
cnf(609,axiom,
h15(e10) = op2(e22,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
cnf(610,axiom,
h15(e12) = op2(e23,op2(e22,e23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
cnf(611,plain,
h15(e12) = op2(e23,h15(e10)),
inference('REWRITE',[status(thm)],[610,609,theory(equality)]) ).
cnf(616,axiom,
h16(e10) = op2(e24,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
cnf(623,axiom,
h17(e10) = op2(e20,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
cnf(624,axiom,
h17(e12) = op2(e24,op2(e20,e24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
cnf(625,plain,
h17(e12) = op2(e24,h17(e10)),
inference('REWRITE',[status(thm)],[624,623,theory(equality)]) ).
cnf(630,axiom,
h18(e10) = op2(e21,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
cnf(631,axiom,
h18(e12) = op2(e24,op2(e21,e24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
cnf(632,plain,
h18(e12) = op2(e24,h18(e10)),
inference('REWRITE',[status(thm)],[631,630,theory(equality)]) ).
cnf(643,axiom,
h20(e11) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
cnf(644,axiom,
h20(e13) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
cnf(645,axiom,
h20(e10) = op2(e23,e24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
cnf(646,axiom,
h20(e12) = op2(e24,op2(e23,e24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
cnf(647,plain,
h20(e12) = op2(e24,h20(e10)),
inference('REWRITE',[status(thm)],[646,645,theory(equality)]) ).
cnf(648,axiom,
h20(e14) = op2(op2(e23,e24),op2(e24,op2(e23,e24))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
cnf(649,plain,
h20(e14) = op2(h20(e10),h20(e12)),
inference('REWRITE',[status(thm)],[648,647,645,theory(equality)]) ).
cnf(10633,negated_conjecture,
( h20(op1(e10,e10)) != op2(h20(e10),h20(e10))
| h20(op1(e10,e11)) != op2(h20(e10),h20(e11))
| h20(op1(e10,e12)) != op2(h20(e10),h20(e12))
| h20(op1(e10,e13)) != op2(h20(e10),h20(e13))
| h20(op1(e10,e14)) != op2(h20(e10),h20(e14))
| h20(op1(e11,e10)) != op2(h20(e11),h20(e10))
| h20(op1(e11,e11)) != op2(h20(e11),h20(e11))
| h20(op1(e11,e12)) != op2(h20(e11),h20(e12))
| h20(op1(e11,e13)) != op2(h20(e11),h20(e13))
| h20(op1(e11,e14)) != op2(h20(e11),h20(e14))
| h20(op1(e12,e10)) != op2(h20(e12),h20(e10))
| h20(op1(e12,e11)) != op2(h20(e12),h20(e11))
| h20(op1(e12,e12)) != op2(h20(e12),h20(e12))
| h20(op1(e12,e13)) != op2(h20(e12),h20(e13))
| h20(op1(e12,e14)) != op2(h20(e12),h20(e14))
| h20(op1(e13,e10)) != op2(h20(e13),h20(e10))
| h20(op1(e13,e11)) != op2(h20(e13),h20(e11))
| h20(op1(e13,e12)) != op2(h20(e13),h20(e12))
| h20(op1(e13,e13)) != op2(h20(e13),h20(e13))
| h20(op1(e13,e14)) != op2(h20(e13),h20(e14))
| h20(op1(e14,e10)) != op2(h20(e14),h20(e10))
| h20(op1(e14,e11)) != op2(h20(e14),h20(e11))
| h20(op1(e14,e12)) != op2(h20(e14),h20(e12))
| h20(op1(e14,e13)) != op2(h20(e14),h20(e13))
| h20(op1(e14,e14)) != op2(h20(e14),h20(e14))
| h20(e12) != e20
| h20(e14) != e21
| h20(e10) != e22
| h20(e13) != e23
| h20(e11) != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(10634,plain,
( h20(op1(e10,e10)) != op2(h20(e10),h20(e10))
| h20(op1(e10,e11)) != op2(h20(e10),e24)
| h20(op1(e10,e13)) != op2(h20(e10),e23)
| h20(op1(e10,e14)) != op2(h20(e10),h20(e14))
| h20(op1(e11,e11)) != op2(e24,e24)
| h20(op1(e11,e12)) != op2(e24,h20(e12))
| h20(op1(e11,e13)) != h16(e10)
| h20(op1(e11,e14)) != op2(e24,h20(e14))
| h20(op1(e12,e10)) != op2(h20(e12),h20(e10))
| h20(op1(e12,e11)) != op2(h20(e12),e24)
| h20(op1(e12,e12)) != op2(h20(e12),h20(e12))
| h20(op1(e12,e13)) != op2(h20(e12),e23)
| h20(op1(e12,e14)) != op2(h20(e12),h20(e14))
| h20(op1(e13,e10)) != op2(e23,h20(e10))
| h20(op1(e13,e12)) != op2(e23,h20(e12))
| h20(op1(e13,e13)) != op2(e23,e23)
| h20(op1(e13,e14)) != op2(e23,h20(e14))
| h20(op1(e14,e10)) != op2(h20(e14),h20(e10))
| h20(op1(e14,e11)) != op2(h20(e14),e24)
| h20(op1(e14,e12)) != op2(h20(e14),h20(e12))
| h20(op1(e14,e13)) != op2(h20(e14),e23)
| h20(op1(e14,e14)) != op2(h20(e14),h20(e14))
| h20(e12) != e20
| h20(e14) != e21
| h20(e10) != e22 ),
inference('REWRITE',[status(thm)],[10633,645,496,616,647,498,644,649,500,643,theory(equality)]) ).
cnf(10883,plain,
( h20(e10) = e20
| h20(e10) = e21
| h20(e10) = e22
| h20(e10) = e23
| h20(e10) = e24 ),
inference('REWRITE',[status(thm)],[120,645,theory(equality)]) ).
cnf(10884,plain,
h20(e10) != op2(e24,e24),
inference('REWRITE',[status(thm)],[350,645,theory(equality)]) ).
cnf(10885,plain,
op2(e23,e23) != h20(e10),
inference('REWRITE',[status(thm)],[390,645,theory(equality)]) ).
cnf(10886,plain,
op2(h20(e10),e24) = e23,
inference('REWRITE',[status(thm)],[490,645,theory(equality)]) ).
cnf(10902,plain,
( h20(op1(e10,e10)) != op2(h20(e10),h20(e10))
| h20(op1(e10,e11)) != e23
| h20(op1(e10,e13)) != op2(h20(e10),e23)
| h20(op1(e10,e14)) != op2(h20(e10),h20(e14))
| h20(op1(e11,e11)) != op2(e24,e24)
| h20(op1(e11,e12)) != op2(e24,h20(e12))
| h20(op1(e11,e13)) != h16(e10)
| h20(op1(e11,e14)) != op2(e24,h20(e14))
| h20(op1(e12,e10)) != op2(h20(e12),h20(e10))
| h20(op1(e12,e11)) != op2(h20(e12),e24)
| h20(op1(e12,e12)) != op2(h20(e12),h20(e12))
| h20(op1(e12,e13)) != op2(h20(e12),e23)
| h20(op1(e12,e14)) != op2(h20(e12),h20(e14))
| h20(op1(e13,e10)) != op2(e23,h20(e10))
| h20(op1(e13,e12)) != op2(e23,h20(e12))
| h20(op1(e13,e13)) != op2(e23,e23)
| h20(op1(e13,e14)) != op2(e23,h20(e14))
| h20(op1(e14,e10)) != op2(h20(e14),h20(e10))
| h20(op1(e14,e11)) != op2(h20(e14),e24)
| h20(op1(e14,e12)) != op2(h20(e14),h20(e12))
| h20(op1(e14,e13)) != op2(h20(e14),e23)
| h20(op1(e14,e14)) != op2(h20(e14),h20(e14))
| h20(e12) != e20
| h20(e14) != e21
| h20(e10) != e22 ),
inference('REWRITE',[status(thm)],[10634,10886,theory(equality)]) ).
cnf(10949,plain,
h18(e10) != h20(e10),
inference('REWRITE',[status(thm)],[346,645,630,theory(equality)]) ).
cnf(10952,plain,
op2(h18(e10),e24) = e21,
inference('REWRITE',[status(thm)],[480,630,theory(equality)]) ).
cnf(10982,plain,
h17(e10) != h20(e10),
inference('REWRITE',[status(thm)],[343,645,623,theory(equality)]) ).
cnf(10983,plain,
h17(e10) != op2(e24,e24),
inference('REWRITE',[status(thm)],[344,623,theory(equality)]) ).
cnf(11016,plain,
op2(e23,e23) != h16(e10),
inference('REWRITE',[status(thm)],[340,616,theory(equality)]) ).
cnf(11047,plain,
h15(e10) != op2(e23,e23),
inference('REWRITE',[status(thm)],[338,609,theory(equality)]) ).
cnf(11080,plain,
h14(e10) != op2(e23,e23),
inference('REWRITE',[status(thm)],[336,602,theory(equality)]) ).
cnf(11084,plain,
op2(h14(e10),e23) = e21,
inference('REWRITE',[status(thm)],[479,602,theory(equality)]) ).
cnf(11120,plain,
h13(e10) != op2(e23,e23),
inference('REWRITE',[status(thm)],[333,595,theory(equality)]) ).
cnf(11124,plain,
op2(h13(e10),e23) = e20,
inference('REWRITE',[status(thm)],[474,595,theory(equality)]) ).
cnf(11153,plain,
op2(e22,e22) != h12(e10),
inference('REWRITE',[status(thm)],[329,588,theory(equality)]) ).
cnf(11155,plain,
h12(e10) != op2(e24,e24),
inference('REWRITE',[status(thm)],[399,588,theory(equality)]) ).
cnf(11184,plain,
( h11(e10) = e20
| h11(e10) = e21
| h11(e10) = e22
| h11(e10) = e23
| h11(e10) = e24 ),
inference('REWRITE',[status(thm)],[118,581,theory(equality)]) ).
cnf(11186,plain,
op2(h15(e10),h11(e10)) = e23,
inference('REWRITE',[status(thm)],[193,609,581,theory(equality)]) ).
cnf(11187,plain,
op2(e22,e22) != h11(e10),
inference('REWRITE',[status(thm)],[328,581,theory(equality)]) ).
cnf(11188,plain,
h11(e10) != h12(e10),
inference('REWRITE',[status(thm)],[330,588,581,theory(equality)]) ).
cnf(11189,plain,
h11(e10) != op2(e23,e23),
inference('REWRITE',[status(thm)],[388,581,theory(equality)]) ).
cnf(11219,plain,
( h10(e10) = e20
| h10(e10) = e21
| h10(e10) = e22
| h10(e10) = e23
| h10(e10) = e24 ),
inference('REWRITE',[status(thm)],[108,574,theory(equality)]) ).
cnf(11220,plain,
h10(e10) != op2(e22,e22),
inference('REWRITE',[status(thm)],[325,574,theory(equality)]) ).
cnf(11222,plain,
h10(e10) != h12(e10),
inference('REWRITE',[status(thm)],[327,588,574,theory(equality)]) ).
cnf(11223,plain,
op2(e21,e21) != h10(e10),
inference('REWRITE',[status(thm)],[365,574,theory(equality)]) ).
cnf(11260,plain,
h8(e10) != op2(e24,e24),
inference('REWRITE',[status(thm)],[397,559,theory(equality)]) ).
cnf(11261,plain,
op2(h8(e10),e21) = e24,
inference('REWRITE',[status(thm)],[492,559,theory(equality)]) ).
cnf(11292,plain,
op2(e21,e21) != h6(e10),
inference('REWRITE',[status(thm)],[315,544,theory(equality)]) ).
cnf(11327,plain,
h5(e10) != h8(e10),
inference('REWRITE',[status(thm)],[314,559,537,theory(equality)]) ).
cnf(11328,plain,
op2(e20,e20) != h5(e10),
inference('REWRITE',[status(thm)],[351,537,theory(equality)]) ).
cnf(11330,plain,
h5(e10) != h17(e10),
inference('REWRITE',[status(thm)],[357,623,537,theory(equality)]) ).
cnf(11371,plain,
h4(e10) != op2(e24,e24),
inference('REWRITE',[status(thm)],[394,530,theory(equality)]) ).
cnf(11400,plain,
( h3(e10) = e20
| h3(e10) = e21
| h3(e10) = e22
| h3(e10) = e23
| h3(e10) = e24 ),
inference('REWRITE',[status(thm)],[116,523,theory(equality)]) ).
cnf(11403,plain,
op2(e20,e20) != h3(e10),
inference('REWRITE',[status(thm)],[303,523,theory(equality)]) ).
cnf(11406,plain,
h3(e10) != op2(e23,e23),
inference('REWRITE',[status(thm)],[383,523,theory(equality)]) ).
cnf(11408,plain,
op2(h3(e10),e20) = e23,
inference('REWRITE',[status(thm)],[486,523,theory(equality)]) ).
cnf(11437,plain,
op2(e20,e20) != h2(e10),
inference('REWRITE',[status(thm)],[302,516,theory(equality)]) ).
cnf(11438,plain,
h2(e10) != h3(e10),
inference('REWRITE',[status(thm)],[308,523,516,theory(equality)]) ).
cnf(11441,plain,
h2(e10) != op2(e22,e22),
inference('REWRITE',[status(thm)],[372,516,theory(equality)]) ).
cnf(11527,plain,
( op2(e20,e20) = e22
| h5(e10) = e22
| h13(e10) = e22
| h17(e10) = e22 ),
inference('REWRITE',[status(thm)],[130,623,595,419,537,505,theory(equality)]) ).
cnf(11533,plain,
op2(h2(e10),e24) = e20,
inference('REWRITE',[status(thm)],[178,516,505,theory(equality)]) ).
cnf(11534,plain,
op2(e24,h2(e10)) = e22,
inference('REWRITE',[status(thm)],[186,516,505,theory(equality)]) ).
cnf(11535,plain,
h10(e10) != e24,
inference('REWRITE',[status(thm)],[321,574,505,theory(equality)]) ).
cnf(11536,plain,
( h10(e10) = e20
| h10(e10) = e21
| h10(e10) = e22
| h10(e10) = e23 ),
inference('REWRITE',[status(thm)],[11219,11535]) ).
cnf(11537,plain,
op2(e22,e22) != e24,
inference('REWRITE',[status(thm)],[322,505,theory(equality)]) ).
cnf(11538,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference('REWRITE',[status(thm)],[113,11537]) ).
cnf(11540,plain,
h11(e10) != e24,
inference('REWRITE',[status(thm)],[323,581,505,theory(equality)]) ).
cnf(11541,plain,
( h11(e10) = e20
| h11(e10) = e21
| h11(e10) = e22
| h11(e10) = e23 ),
inference('REWRITE',[status(thm)],[11184,11540]) ).
cnf(11545,plain,
op2(e20,e20) != e24,
inference('REWRITE',[status(thm)],[352,505,theory(equality)]) ).
cnf(11546,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference('REWRITE',[status(thm)],[101,11545]) ).
cnf(11555,plain,
h12(e10) = e20,
inference('REWRITE',[status(thm)],[473,588,505,theory(equality)]) ).
cnf(11556,plain,
op2(e24,e22) = e20,
inference('REWRITE',[status(thm)],[588,11555,theory(equality)]) ).
cnf(11557,plain,
h12(e12) = h2(e10),
inference('REWRITE',[status(thm)],[590,516,11555,theory(equality)]) ).
cnf(11558,plain,
h12(e12) = op2(e22,e20),
inference('REWRITE',[status(thm)],[516,11557,theory(equality)]) ).
cnf(11559,plain,
h2(e12) = op2(e20,h12(e12)),
inference('REWRITE',[status(thm)],[518,11557,theory(equality)]) ).
cnf(11562,plain,
op2(e20,e20) != h12(e12),
inference('REWRITE',[status(thm)],[11437,11557,theory(equality)]) ).
cnf(11563,plain,
h12(e12) != h3(e10),
inference('REWRITE',[status(thm)],[11438,11557,theory(equality)]) ).
cnf(11566,plain,
h12(e12) != op2(e22,e22),
inference('REWRITE',[status(thm)],[11441,11557,theory(equality)]) ).
cnf(11601,plain,
op2(h12(e12),e24) = e20,
inference('REWRITE',[status(thm)],[11533,11557,theory(equality)]) ).
cnf(11602,plain,
op2(e24,h12(e12)) = e22,
inference('REWRITE',[status(thm)],[11534,11557,theory(equality)]) ).
cnf(11604,plain,
h12(e14) = h2(e12),
inference('REWRITE',[status(thm)],[592,11559,11555,theory(equality)]) ).
cnf(11605,plain,
h12(e14) = op2(e20,h12(e12)),
inference('REWRITE',[status(thm)],[11559,11604,theory(equality)]) ).
cnf(11635,plain,
op2(e22,e22) != e20,
inference('REWRITE',[status(thm)],[11153,11555,theory(equality)]) ).
cnf(11636,plain,
( op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference('REWRITE',[status(thm)],[11538,11635]) ).
cnf(11641,plain,
op2(e24,e24) != e20,
inference('REWRITE',[status(thm)],[11155,11555,theory(equality)]) ).
cnf(11642,plain,
( op2(e24,e24) = e21
| op2(e24,e24) = e22
| op2(e24,e24) = e23
| op2(e24,e24) = e24 ),
inference('REWRITE',[status(thm)],[125,11641]) ).
cnf(11648,plain,
h11(e10) != e20,
inference('REWRITE',[status(thm)],[11188,11555,theory(equality)]) ).
cnf(11649,plain,
( h11(e10) = e21
| h11(e10) = e22
| h11(e10) = e23 ),
inference('REWRITE',[status(thm)],[11541,11648]) ).
cnf(11650,plain,
h10(e10) != e20,
inference('REWRITE',[status(thm)],[11222,11555,theory(equality)]) ).
cnf(11651,plain,
( h10(e10) = e21
| h10(e10) = e22
| h10(e10) = e23 ),
inference('REWRITE',[status(thm)],[11536,11650]) ).
cnf(11703,plain,
( op2(e21,e21) = e24
| h14(e10) = e24
| h18(e10) = e24 ),
inference('REWRITE',[status(thm)],[144,630,602,11535,574,419,503,theory(equality)]) ).
cnf(11706,plain,
op2(e20,e20) != e22,
inference('REWRITE',[status(thm)],[301,503,theory(equality)]) ).
cnf(11707,plain,
( h5(e10) = e22
| h13(e10) = e22
| h17(e10) = e22 ),
inference('REWRITE',[status(thm)],[11527,11706]) ).
cnf(11708,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e23 ),
inference('REWRITE',[status(thm)],[11546,11706]) ).
cnf(11712,plain,
h3(e10) != e22,
inference('REWRITE',[status(thm)],[306,523,503,theory(equality)]) ).
cnf(11713,plain,
( h3(e10) = e20
| h3(e10) = e21
| h3(e10) = e23
| h3(e10) = e24 ),
inference('REWRITE',[status(thm)],[11400,11712]) ).
cnf(11719,plain,
h10(e10) != e22,
inference('REWRITE',[status(thm)],[362,574,503,theory(equality)]) ).
cnf(11720,plain,
( h10(e10) = e21
| h10(e10) = e23 ),
inference('REWRITE',[status(thm)],[11651,11719]) ).
cnf(11728,plain,
h12(e12) = e21,
inference('REWRITE',[status(thm)],[476,11558,503,theory(equality)]) ).
cnf(11730,plain,
op2(e22,e20) = e21,
inference('REWRITE',[status(thm)],[11558,11728,theory(equality)]) ).
cnf(11731,plain,
op2(e20,e20) != e21,
inference('REWRITE',[status(thm)],[11562,11728,theory(equality)]) ).
cnf(11733,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e23 ),
inference('REWRITE',[status(thm)],[11708,11731]) ).
cnf(11734,plain,
h3(e10) != e21,
inference('REWRITE',[status(thm)],[11563,11728,theory(equality)]) ).
cnf(11735,plain,
( h3(e10) = e20
| h3(e10) = e23
| h3(e10) = e24 ),
inference('REWRITE',[status(thm)],[11713,11734]) ).
cnf(11741,plain,
op2(e22,e22) != e21,
inference('REWRITE',[status(thm)],[11566,11728,theory(equality)]) ).
cnf(11742,plain,
( op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference('REWRITE',[status(thm)],[11636,11741]) ).
cnf(11751,plain,
h18(e10) = e20,
inference('REWRITE',[status(thm)],[11601,630,11728,theory(equality)]) ).
cnf(11752,plain,
op2(e21,e24) = e20,
inference('REWRITE',[status(thm)],[630,11751,theory(equality)]) ).
cnf(11753,plain,
h18(e12) = h4(e10),
inference('REWRITE',[status(thm)],[632,530,11751,theory(equality)]) ).
cnf(11754,plain,
h18(e12) = op2(e24,e20),
inference('REWRITE',[status(thm)],[530,11753,theory(equality)]) ).
cnf(11789,plain,
h18(e12) != op2(e24,e24),
inference('REWRITE',[status(thm)],[11371,11753,theory(equality)]) ).
cnf(11825,plain,
h20(e10) != e20,
inference('REWRITE',[status(thm)],[10949,11751,theory(equality)]) ).
cnf(11826,plain,
( h20(e10) = e21
| h20(e10) = e22
| h20(e10) = e23
| h20(e10) = e24 ),
inference('REWRITE',[status(thm)],[10883,11825]) ).
cnf(11829,plain,
h17(e10) = e21,
inference('REWRITE',[status(thm)],[10952,623,11751,theory(equality)]) ).
cnf(11830,plain,
op2(e20,e24) = e21,
inference('REWRITE',[status(thm)],[623,11829,theory(equality)]) ).
cnf(11831,plain,
h17(e12) = h8(e10),
inference('REWRITE',[status(thm)],[625,559,11829,theory(equality)]) ).
cnf(11832,plain,
h17(e12) = op2(e24,e21),
inference('REWRITE',[status(thm)],[559,11831,theory(equality)]) ).
cnf(11837,plain,
h17(e12) != op2(e24,e24),
inference('REWRITE',[status(thm)],[11260,11831,theory(equality)]) ).
cnf(11838,plain,
op2(h17(e12),e21) = e24,
inference('REWRITE',[status(thm)],[11261,11831,theory(equality)]) ).
cnf(11840,plain,
h5(e10) != h17(e12),
inference('REWRITE',[status(thm)],[11327,11831,theory(equality)]) ).
cnf(11851,plain,
h20(e10) != e21,
inference('REWRITE',[status(thm)],[10982,11829,theory(equality)]) ).
cnf(11852,plain,
( h20(e10) = e22
| h20(e10) = e23
| h20(e10) = e24 ),
inference('REWRITE',[status(thm)],[11826,11851]) ).
cnf(11853,plain,
op2(e24,e24) != e21,
inference('REWRITE',[status(thm)],[10983,11829,theory(equality)]) ).
cnf(11854,plain,
( op2(e24,e24) = e22
| op2(e24,e24) = e23
| op2(e24,e24) = e24 ),
inference('REWRITE',[status(thm)],[11642,11853]) ).
cnf(11859,plain,
h5(e10) != e21,
inference('REWRITE',[status(thm)],[11330,11829,theory(equality)]) ).
cnf(11863,plain,
( h5(e10) = e22
| h13(e10) = e22 ),
inference('REWRITE',[status(thm)],[11707,415,11829,theory(equality)]) ).
cnf(11922,plain,
( op2(e21,e21) = e24
| h14(e10) = e24 ),
inference('REWRITE',[status(thm)],[11703,414,11751,theory(equality)]) ).
cnf(11923,plain,
h17(e12) = e22,
inference('REWRITE',[status(thm)],[11602,11832,11728,theory(equality)]) ).
cnf(11925,plain,
op2(e24,e21) = e22,
inference('REWRITE',[status(thm)],[11832,11923,theory(equality)]) ).
cnf(11929,plain,
op2(e24,e24) != e22,
inference('REWRITE',[status(thm)],[11837,11923,theory(equality)]) ).
cnf(11930,plain,
( op2(e24,e24) = e23
| op2(e24,e24) = e24 ),
inference('REWRITE',[status(thm)],[11854,11929]) ).
cnf(11932,plain,
h6(e10) = e24,
inference('REWRITE',[status(thm)],[11838,544,11923,theory(equality)]) ).
cnf(11933,plain,
op2(e22,e21) = e24,
inference('REWRITE',[status(thm)],[544,11932,theory(equality)]) ).
cnf(11950,plain,
op2(e21,e21) != e24,
inference('REWRITE',[status(thm)],[11292,11932,theory(equality)]) ).
cnf(11952,plain,
h14(e10) = e24,
inference('REWRITE',[status(thm)],[11922,11950]) ).
cnf(11953,plain,
op2(e21,e23) = e24,
inference('REWRITE',[status(thm)],[602,11952,theory(equality)]) ).
cnf(11954,plain,
h14(e12) = h20(e10),
inference('REWRITE',[status(thm)],[604,645,11952,theory(equality)]) ).
cnf(11956,plain,
h20(e12) = op2(e24,h14(e12)),
inference('REWRITE',[status(thm)],[647,11954,theory(equality)]) ).
cnf(11957,plain,
h20(e14) = op2(h14(e12),h20(e12)),
inference('REWRITE',[status(thm)],[649,11954,theory(equality)]) ).
cnf(11958,plain,
h14(e12) != op2(e24,e24),
inference('REWRITE',[status(thm)],[10884,11954,theory(equality)]) ).
cnf(11959,plain,
op2(e23,e23) != h14(e12),
inference('REWRITE',[status(thm)],[10885,11954,theory(equality)]) ).
cnf(11964,plain,
( h20(op1(e10,e10)) != op2(h14(e12),h14(e12))
| h20(op1(e10,e11)) != e23
| h20(op1(e10,e13)) != op2(h14(e12),e23)
| h20(op1(e10,e14)) != op2(h14(e12),h20(e14))
| h20(op1(e11,e11)) != op2(e24,e24)
| h20(op1(e11,e12)) != op2(e24,h20(e12))
| h20(op1(e11,e13)) != h16(e10)
| h20(op1(e11,e14)) != op2(e24,h20(e14))
| h20(op1(e12,e10)) != op2(h20(e12),h14(e12))
| h20(op1(e12,e11)) != op2(h20(e12),e24)
| h20(op1(e12,e12)) != op2(h20(e12),h20(e12))
| h20(op1(e12,e13)) != op2(h20(e12),e23)
| h20(op1(e12,e14)) != op2(h20(e12),h20(e14))
| h20(op1(e13,e10)) != op2(e23,h14(e12))
| h20(op1(e13,e12)) != op2(e23,h20(e12))
| h20(op1(e13,e13)) != op2(e23,e23)
| h20(op1(e13,e14)) != op2(e23,h20(e14))
| h20(op1(e14,e10)) != op2(h20(e14),h14(e12))
| h20(op1(e14,e11)) != op2(h20(e14),e24)
| h20(op1(e14,e12)) != op2(h20(e14),h20(e12))
| h20(op1(e14,e13)) != op2(h20(e14),e23)
| h20(op1(e14,e14)) != op2(h20(e14),h20(e14))
| h20(e12) != e20
| h20(e14) != e21
| h14(e12) != e22 ),
inference('REWRITE',[status(thm)],[10902,11954,theory(equality)]) ).
cnf(11992,plain,
( h14(e12) = e22
| h14(e12) = e23
| h14(e12) = e24 ),
inference('REWRITE',[status(thm)],[11852,11954,theory(equality)]) ).
cnf(11996,plain,
h14(e14) = h20(e12),
inference('REWRITE',[status(thm)],[606,11956,11952,theory(equality)]) ).
cnf(11997,plain,
h14(e14) = op2(e24,h14(e12)),
inference('REWRITE',[status(thm)],[11956,11996,theory(equality)]) ).
cnf(11998,plain,
h20(e14) = op2(h14(e12),h14(e14)),
inference('REWRITE',[status(thm)],[11957,11996,theory(equality)]) ).
cnf(12002,plain,
( h20(op1(e10,e10)) != op2(h14(e12),h14(e12))
| h20(op1(e10,e11)) != e23
| h20(op1(e10,e13)) != op2(h14(e12),e23)
| h20(op1(e10,e14)) != op2(h14(e12),h20(e14))
| h20(op1(e11,e11)) != op2(e24,e24)
| h20(op1(e11,e12)) != op2(e24,h14(e14))
| h20(op1(e11,e13)) != h16(e10)
| h20(op1(e11,e14)) != op2(e24,h20(e14))
| h20(op1(e12,e10)) != op2(h14(e14),h14(e12))
| h20(op1(e12,e11)) != op2(h14(e14),e24)
| h20(op1(e12,e12)) != op2(h14(e14),h14(e14))
| h20(op1(e12,e13)) != op2(h14(e14),e23)
| h20(op1(e12,e14)) != op2(h14(e14),h20(e14))
| h20(op1(e13,e10)) != op2(e23,h14(e12))
| h20(op1(e13,e12)) != op2(e23,h14(e14))
| h20(op1(e13,e13)) != op2(e23,e23)
| h20(op1(e13,e14)) != op2(e23,h20(e14))
| h20(op1(e14,e10)) != op2(h20(e14),h14(e12))
| h20(op1(e14,e11)) != op2(h20(e14),e24)
| h20(op1(e14,e12)) != op2(h20(e14),h14(e14))
| h20(op1(e14,e13)) != op2(h20(e14),e23)
| h20(op1(e14,e14)) != op2(h20(e14),h20(e14))
| h14(e14) != e20
| h20(e14) != e21
| h14(e12) != e22 ),
inference('REWRITE',[status(thm)],[11964,11996,theory(equality)]) ).
cnf(12013,plain,
op2(e23,e23) != e24,
inference('REWRITE',[status(thm)],[11080,11952,theory(equality)]) ).
cnf(12014,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference('REWRITE',[status(thm)],[119,12013]) ).
cnf(12017,plain,
h16(e10) = e21,
inference('REWRITE',[status(thm)],[11084,616,11952,theory(equality)]) ).
cnf(12021,plain,
op2(e23,e23) != e21,
inference('REWRITE',[status(thm)],[11016,12017,theory(equality)]) ).
cnf(12022,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference('REWRITE',[status(thm)],[12014,12021]) ).
cnf(12029,plain,
( h20(op1(e10,e10)) != op2(h14(e12),h14(e12))
| h20(op1(e10,e11)) != e23
| h20(op1(e10,e13)) != op2(h14(e12),e23)
| h20(op1(e10,e14)) != op2(h14(e12),h20(e14))
| h20(op1(e11,e11)) != op2(e24,e24)
| h20(op1(e11,e12)) != op2(e24,h14(e14))
| h20(op1(e11,e13)) != e21
| h20(op1(e11,e14)) != op2(e24,h20(e14))
| h20(op1(e12,e10)) != op2(h14(e14),h14(e12))
| h20(op1(e12,e11)) != op2(h14(e14),e24)
| h20(op1(e12,e12)) != op2(h14(e14),h14(e14))
| h20(op1(e12,e13)) != op2(h14(e14),e23)
| h20(op1(e12,e14)) != op2(h14(e14),h20(e14))
| h20(op1(e13,e10)) != op2(e23,h14(e12))
| h20(op1(e13,e12)) != op2(e23,h14(e14))
| h20(op1(e13,e13)) != op2(e23,e23)
| h20(op1(e13,e14)) != op2(e23,h20(e14))
| h20(op1(e14,e10)) != op2(h20(e14),h14(e12))
| h20(op1(e14,e11)) != op2(h20(e14),e24)
| h20(op1(e14,e12)) != op2(h20(e14),h14(e14))
| h20(op1(e14,e13)) != op2(h20(e14),e23)
| h20(op1(e14,e14)) != op2(h20(e14),h20(e14))
| h14(e14) != e20
| h20(e14) != e21
| h14(e12) != e22 ),
inference('REWRITE',[status(thm)],[12002,12017,theory(equality)]) ).
cnf(12049,plain,
h5(e10) != e22,
inference('REWRITE',[status(thm)],[11840,11923,theory(equality)]) ).
cnf(12051,plain,
h13(e10) = e22,
inference('REWRITE',[status(thm)],[11863,12049]) ).
cnf(12052,plain,
op2(e20,e23) = e22,
inference('REWRITE',[status(thm)],[595,12051,theory(equality)]) ).
cnf(12058,plain,
op2(e23,e23) != e22,
inference('REWRITE',[status(thm)],[11120,12051,theory(equality)]) ).
cnf(12059,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e23 ),
inference('REWRITE',[status(thm)],[12022,12058]) ).
cnf(12060,plain,
h15(e10) = e20,
inference('REWRITE',[status(thm)],[11124,609,12051,theory(equality)]) ).
cnf(12061,plain,
op2(e22,e23) = e20,
inference('REWRITE',[status(thm)],[609,12060,theory(equality)]) ).
cnf(12062,plain,
h15(e12) = h3(e10),
inference('REWRITE',[status(thm)],[611,523,12060,theory(equality)]) ).
cnf(12063,plain,
h15(e12) = op2(e23,e20),
inference('REWRITE',[status(thm)],[523,12062,theory(equality)]) ).
cnf(12066,plain,
op2(e20,e20) != h15(e12),
inference('REWRITE',[status(thm)],[11403,12062,theory(equality)]) ).
cnf(12068,plain,
h15(e12) != op2(e23,e23),
inference('REWRITE',[status(thm)],[11406,12062,theory(equality)]) ).
cnf(12069,plain,
op2(h15(e12),e20) = e23,
inference('REWRITE',[status(thm)],[11408,12062,theory(equality)]) ).
cnf(12072,plain,
( h15(e12) = e20
| h15(e12) = e23
| h15(e12) = e24 ),
inference('REWRITE',[status(thm)],[11735,12062,theory(equality)]) ).
cnf(12078,plain,
op2(e23,e23) != e20,
inference('REWRITE',[status(thm)],[11047,12060,theory(equality)]) ).
cnf(12079,plain,
op2(e23,e23) = e23,
inference('REWRITE',[status(thm)],[12059,12078]) ).
cnf(12080,plain,
h11(e10) != e23,
inference('REWRITE',[status(thm)],[11189,12079,theory(equality)]) ).
cnf(12081,plain,
( h11(e10) = e21
| h11(e10) = e22 ),
inference('REWRITE',[status(thm)],[11649,12080]) ).
cnf(12083,plain,
h14(e12) != e23,
inference('REWRITE',[status(thm)],[11959,12079,theory(equality)]) ).
cnf(12084,plain,
( h14(e12) = e22
| h14(e12) = e24 ),
inference('REWRITE',[status(thm)],[11992,12083]) ).
cnf(12089,plain,
( h20(op1(e10,e10)) != op2(h14(e12),h14(e12))
| h20(op1(e10,e11)) != e23
| h20(op1(e10,e13)) != op2(h14(e12),e23)
| h20(op1(e10,e14)) != op2(h14(e12),h20(e14))
| h20(op1(e11,e11)) != op2(e24,e24)
| h20(op1(e11,e12)) != op2(e24,h14(e14))
| h20(op1(e11,e13)) != e21
| h20(op1(e11,e14)) != op2(e24,h20(e14))
| h20(op1(e12,e10)) != op2(h14(e14),h14(e12))
| h20(op1(e12,e11)) != op2(h14(e14),e24)
| h20(op1(e12,e12)) != op2(h14(e14),h14(e14))
| h20(op1(e12,e13)) != op2(h14(e14),e23)
| h20(op1(e12,e14)) != op2(h14(e14),h20(e14))
| h20(op1(e13,e10)) != op2(e23,h14(e12))
| h20(op1(e13,e12)) != op2(e23,h14(e14))
| h20(op1(e13,e13)) != e23
| h20(op1(e13,e14)) != op2(e23,h20(e14))
| h20(op1(e14,e10)) != op2(h20(e14),h14(e12))
| h20(op1(e14,e11)) != op2(h20(e14),e24)
| h20(op1(e14,e12)) != op2(h20(e14),h14(e14))
| h20(op1(e14,e13)) != op2(h20(e14),e23)
| h20(op1(e14,e14)) != op2(h20(e14),h20(e14))
| h14(e14) != e20
| h20(e14) != e21
| h14(e12) != e22 ),
inference('REWRITE',[status(thm)],[12029,12079,theory(equality)]) ).
cnf(12100,plain,
h15(e12) != e23,
inference('REWRITE',[status(thm)],[12068,12079,theory(equality)]) ).
cnf(12101,plain,
( h15(e12) = e20
| h15(e12) = e24 ),
inference('REWRITE',[status(thm)],[12072,12100]) ).
cnf(12105,plain,
op2(e20,h11(e10)) = e23,
inference('REWRITE',[status(thm)],[11186,12060,theory(equality)]) ).
cnf(12152,plain,
h12(e14) = h5(e10),
inference('REWRITE',[status(thm)],[11605,537,11728,theory(equality)]) ).
cnf(12153,plain,
h12(e14) = op2(e20,e21),
inference('REWRITE',[status(thm)],[537,12152,theory(equality)]) ).
cnf(12157,plain,
op2(e20,e20) != h12(e14),
inference('REWRITE',[status(thm)],[11328,12152,theory(equality)]) ).
cnf(12174,plain,
h12(e14) != e21,
inference('REWRITE',[status(thm)],[11859,12152,theory(equality)]) ).
cnf(12209,plain,
op2(e21,e21) = e21,
inference('REWRITE',[status(thm)],[139,415,11925,411,417,11933,12174,12153,501,theory(equality)]) ).
cnf(12210,plain,
h10(e10) != e21,
inference('REWRITE',[status(thm)],[11223,12209,theory(equality)]) ).
cnf(12211,plain,
h10(e10) = e23,
inference('REWRITE',[status(thm)],[11720,12210]) ).
cnf(12212,plain,
op2(e21,e22) = e23,
inference('REWRITE',[status(thm)],[574,12211,theory(equality)]) ).
cnf(12213,plain,
h10(e12) = e20,
inference('REWRITE',[status(thm)],[576,12061,12211,theory(equality)]) ).
cnf(12215,plain,
h10(e14) = h15(e12),
inference('REWRITE',[status(thm)],[578,12063,12213,12211,theory(equality)]) ).
cnf(12217,plain,
h10(e14) = op2(e23,e20),
inference('REWRITE',[status(thm)],[12063,12215,theory(equality)]) ).
cnf(12218,plain,
op2(e20,e20) != h10(e14),
inference('REWRITE',[status(thm)],[12066,12215,theory(equality)]) ).
cnf(12220,plain,
op2(h10(e14),e20) = e23,
inference('REWRITE',[status(thm)],[12069,12215,theory(equality)]) ).
cnf(12228,plain,
( h10(e14) = e20
| h10(e14) = e24 ),
inference('REWRITE',[status(thm)],[12101,12215,theory(equality)]) ).
cnf(12249,plain,
op2(e22,e22) != e23,
inference('REWRITE',[status(thm)],[11220,12211,theory(equality)]) ).
cnf(12250,plain,
op2(e22,e22) = e22,
inference('REWRITE',[status(thm)],[11742,12249]) ).
cnf(12251,plain,
h11(e10) != e22,
inference('REWRITE',[status(thm)],[11187,12250,theory(equality)]) ).
cnf(12252,plain,
h11(e10) = e21,
inference('REWRITE',[status(thm)],[12081,12251]) ).
cnf(12253,plain,
op2(e23,e22) = e21,
inference('REWRITE',[status(thm)],[581,12252,theory(equality)]) ).
cnf(12258,plain,
h12(e14) = e23,
inference('REWRITE',[status(thm)],[12105,12153,12252,theory(equality)]) ).
cnf(12261,plain,
op2(e20,e21) = e23,
inference('REWRITE',[status(thm)],[12153,12258,theory(equality)]) ).
cnf(12262,plain,
op2(e20,e20) != e23,
inference('REWRITE',[status(thm)],[12157,12258,theory(equality)]) ).
cnf(12263,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[11733,12262]) ).
cnf(12276,plain,
h10(e14) != e20,
inference('REWRITE',[status(thm)],[12218,12263,theory(equality)]) ).
cnf(12277,plain,
h10(e14) = e24,
inference('REWRITE',[status(thm)],[12228,12276]) ).
cnf(12280,plain,
op2(e23,e20) = e24,
inference('REWRITE',[status(thm)],[12217,12277,theory(equality)]) ).
cnf(12281,plain,
h18(e12) = e23,
inference('REWRITE',[status(thm)],[12220,11754,12277,theory(equality)]) ).
cnf(12283,plain,
op2(e24,e20) = e23,
inference('REWRITE',[status(thm)],[11754,12281,theory(equality)]) ).
cnf(12284,plain,
op2(e24,e24) != e23,
inference('REWRITE',[status(thm)],[11789,12281,theory(equality)]) ).
cnf(12285,plain,
op2(e24,e24) = e24,
inference('REWRITE',[status(thm)],[11930,12284]) ).
cnf(12286,plain,
h14(e12) != e24,
inference('REWRITE',[status(thm)],[11958,12285,theory(equality)]) ).
cnf(12287,plain,
h14(e12) = e22,
inference('REWRITE',[status(thm)],[12084,12286]) ).
cnf(12288,plain,
h20(e10) = e22,
inference('REWRITE',[status(thm)],[11954,12287,theory(equality)]) ).
cnf(12297,plain,
h14(e14) = e20,
inference('REWRITE',[status(thm)],[11997,11556,12287,theory(equality)]) ).
cnf(12298,plain,
h20(e12) = e20,
inference('REWRITE',[status(thm)],[11996,12297,theory(equality)]) ).
cnf(12299,plain,
h20(e14) = e21,
inference('REWRITE',[status(thm)],[11998,11730,12297,12287,theory(equality)]) ).
cnf(12300,plain,
( h20(op1(e10,e10)) != e22
| h20(op1(e10,e11)) != e23
| h20(op1(e10,e13)) != e20
| h20(op1(e10,e14)) != e24
| h20(op1(e11,e11)) != e24
| h20(op1(e11,e12)) != e23
| h20(op1(e11,e13)) != e21
| h20(op1(e11,e14)) != e22
| h20(op1(e12,e10)) != e24
| h20(op1(e12,e11)) != e21
| h20(op1(e12,e12)) != e20
| h20(op1(e12,e13)) != e22
| h20(op1(e12,e14)) != e23
| h20(op1(e13,e10)) != e21
| h20(op1(e13,e12)) != e24
| h20(op1(e13,e13)) != e23
| h20(op1(e13,e14)) != e20
| h20(op1(e14,e10)) != e23
| h20(op1(e14,e11)) != e20
| h20(op1(e14,e12)) != e22
| h20(op1(e14,e13)) != e24
| h20(op1(e14,e14)) != e21 ),
inference('REWRITE',[status(thm)],[12089,12209,11953,503,11752,12212,501,12280,12253,12261,12052,12263,11830,505,11925,12283,12297,11933,12299,12061,12250,12287,12285,theory(equality)]) ).
cnf(12334,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e13) = e12
| op1(e10,e14) = e12 ),
inference('REWRITE',[status(thm)],[30,409,500,theory(equality)]) ).
cnf(12340,plain,
op1(op1(e12,e10),e14) = e10,
inference('REWRITE',[status(thm)],[78,500,theory(equality)]) ).
cnf(12341,plain,
op1(e14,op1(e12,e10)) = e12,
inference('REWRITE',[status(thm)],[86,500,theory(equality)]) ).
cnf(12342,plain,
op1(e11,e12) != e14,
inference('REWRITE',[status(thm)],[221,500,theory(equality)]) ).
cnf(12343,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[8,12342]) ).
cnf(12344,plain,
op1(e12,e12) != e14,
inference('REWRITE',[status(thm)],[222,500,theory(equality)]) ).
cnf(12345,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[13,12344]) ).
cnf(12347,plain,
op1(e13,e12) != e14,
inference('REWRITE',[status(thm)],[223,500,theory(equality)]) ).
cnf(12348,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[18,12347]) ).
cnf(12352,plain,
op1(e10,e10) != e14,
inference('REWRITE',[status(thm)],[252,500,theory(equality)]) ).
cnf(12353,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[1,12352]) ).
cnf(12362,plain,
op1(e14,e12) = e10,
inference('REWRITE',[status(thm)],[448,500,theory(equality)]) ).
cnf(12368,plain,
op1(e11,e12) != e10,
inference('REWRITE',[status(thm)],[227,12362,theory(equality)]) ).
cnf(12369,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[12343,12368]) ).
cnf(12370,plain,
op1(e12,e12) != e10,
inference('REWRITE',[status(thm)],[229,12362,theory(equality)]) ).
cnf(12372,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[12345,12370]) ).
cnf(12373,plain,
op1(e13,e12) != e10,
inference('REWRITE',[status(thm)],[230,12362,theory(equality)]) ).
cnf(12374,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[12348,12373]) ).
cnf(12375,plain,
op1(e14,e10) != e10,
inference('REWRITE',[status(thm)],[292,12362,theory(equality)]) ).
cnf(12376,plain,
( op1(e14,e10) = e11
| op1(e14,e10) = e12
| op1(e14,e10) = e13
| op1(e14,e10) = e14 ),
inference('REWRITE',[status(thm)],[21,12375]) ).
cnf(12382,plain,
op1(e14,e14) != e10,
inference('REWRITE',[status(thm)],[299,12362,theory(equality)]) ).
cnf(12383,plain,
( op1(e14,e14) = e11
| op1(e14,e14) = e12
| op1(e14,e14) = e13
| op1(e14,e14) = e14 ),
inference('REWRITE',[status(thm)],[25,12382]) ).
cnf(12385,plain,
( h20(op1(e10,e10)) != e22
| h20(op1(e10,e11)) != e23
| h20(op1(e10,e13)) != e20
| h20(op1(e10,e14)) != e24
| h20(op1(e11,e11)) != e24
| h20(op1(e11,e12)) != e23
| h20(op1(e11,e13)) != e21
| h20(op1(e11,e14)) != e22
| h20(op1(e12,e10)) != e24
| h20(op1(e12,e11)) != e21
| h20(op1(e12,e12)) != e20
| h20(op1(e12,e13)) != e22
| h20(op1(e12,e14)) != e23
| h20(op1(e13,e10)) != e21
| h20(op1(e13,e12)) != e24
| h20(op1(e13,e13)) != e23
| h20(op1(e13,e14)) != e20
| h20(op1(e14,e10)) != e23
| h20(op1(e14,e11)) != e20
| h20(op1(e14,e13)) != e24
| h20(op1(e14,e14)) != e21 ),
inference('REWRITE',[status(thm)],[12300,12288,12362,theory(equality)]) ).
cnf(12415,plain,
( op1(e11,e11) = e14
| op1(e11,e13) = e14
| op1(e11,e14) = e14 ),
inference('REWRITE',[status(thm)],[44,12342,409,498,theory(equality)]) ).
cnf(12418,plain,
op1(e10,e10) != e12,
inference('REWRITE',[status(thm)],[201,498,theory(equality)]) ).
cnf(12419,plain,
( op1(e10,e11) = e12
| op1(e10,e13) = e12
| op1(e10,e14) = e12 ),
inference('REWRITE',[status(thm)],[12334,12418]) ).
cnf(12420,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[12353,12418]) ).
cnf(12424,plain,
op1(e13,e10) != e12,
inference('REWRITE',[status(thm)],[206,498,theory(equality)]) ).
cnf(12425,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e13
| op1(e13,e10) = e14 ),
inference('REWRITE',[status(thm)],[16,12424]) ).
cnf(12426,plain,
op1(e14,e10) != e12,
inference('REWRITE',[status(thm)],[207,498,theory(equality)]) ).
cnf(12428,plain,
( op1(e14,e10) = e11
| op1(e14,e10) = e13
| op1(e14,e10) = e14 ),
inference('REWRITE',[status(thm)],[12376,12426]) ).
cnf(12431,plain,
op1(e11,e12) != e12,
inference('REWRITE',[status(thm)],[262,498,theory(equality)]) ).
cnf(12432,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[12369,12431]) ).
cnf(12440,plain,
op1(e12,e10) = e11,
inference('REWRITE',[status(thm)],[451,498,theory(equality)]) ).
cnf(12442,plain,
op1(e10,e10) != e11,
inference('REWRITE',[status(thm)],[202,12440,theory(equality)]) ).
cnf(12444,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[12420,12442]) ).
cnf(12445,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[208,12440,theory(equality)]) ).
cnf(12446,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e13
| op1(e13,e10) = e14 ),
inference('REWRITE',[status(thm)],[12425,12445]) ).
cnf(12447,plain,
op1(e14,e10) != e11,
inference('REWRITE',[status(thm)],[209,12440,theory(equality)]) ).
cnf(12449,plain,
( op1(e14,e10) = e13
| op1(e14,e10) = e14 ),
inference('REWRITE',[status(thm)],[12428,12447]) ).
cnf(12452,plain,
op1(e12,e12) != e11,
inference('REWRITE',[status(thm)],[272,12440,theory(equality)]) ).
cnf(12453,plain,
( op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[12372,12452]) ).
cnf(12461,plain,
op1(e11,e14) = e10,
inference('REWRITE',[status(thm)],[12340,12440,theory(equality)]) ).
cnf(12470,plain,
op1(e13,e14) != e10,
inference('REWRITE',[status(thm)],[246,12461,theory(equality)]) ).
cnf(12471,plain,
( op1(e13,e14) = e11
| op1(e13,e14) = e12
| op1(e13,e14) = e13
| op1(e13,e14) = e14 ),
inference('REWRITE',[status(thm)],[20,12470]) ).
cnf(12477,plain,
op1(e10,e14) = e11,
inference('REWRITE',[status(thm)],[455,12461,theory(equality)]) ).
cnf(12480,plain,
op1(e13,e14) != e11,
inference('REWRITE',[status(thm)],[243,12477,theory(equality)]) ).
cnf(12481,plain,
( op1(e13,e14) = e12
| op1(e13,e14) = e13
| op1(e13,e14) = e14 ),
inference('REWRITE',[status(thm)],[12471,12480]) ).
cnf(12482,plain,
op1(e14,e14) != e11,
inference('REWRITE',[status(thm)],[244,12477,theory(equality)]) ).
cnf(12483,plain,
( op1(e14,e14) = e12
| op1(e14,e14) = e13
| op1(e14,e14) = e14 ),
inference('REWRITE',[status(thm)],[12383,12482]) ).
cnf(12485,plain,
op1(e10,e11) != e11,
inference('REWRITE',[status(thm)],[257,12477,theory(equality)]) ).
cnf(12491,plain,
( op1(e10,e11) = e12
| op1(e10,e13) = e12 ),
inference('REWRITE',[status(thm)],[12419,405,12477,theory(equality)]) ).
cnf(12497,plain,
( op1(e11,e11) = e14
| op1(e11,e13) = e14 ),
inference('REWRITE',[status(thm)],[12415,404,12461,theory(equality)]) ).
cnf(12498,plain,
op1(e14,e11) = e12,
inference('REWRITE',[status(thm)],[12341,12440,theory(equality)]) ).
cnf(12499,plain,
op1(e10,e11) != e12,
inference('REWRITE',[status(thm)],[214,12498,theory(equality)]) ).
cnf(12501,plain,
op1(e10,e13) = e12,
inference('REWRITE',[status(thm)],[12491,12499]) ).
cnf(12508,plain,
op1(e13,e13) != e12,
inference('REWRITE',[status(thm)],[233,12501,theory(equality)]) ).
cnf(12509,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e13
| op1(e13,e13) = e14 ),
inference('REWRITE',[status(thm)],[19,12508]) ).
cnf(12512,plain,
op1(e12,e13) = e10,
inference('REWRITE',[status(thm)],[449,12501,theory(equality)]) ).
cnf(12514,plain,
op1(e10,op1(e13,e12)) = e13,
inference('REWRITE',[status(thm)],[93,12512,theory(equality)]) ).
cnf(12515,plain,
op1(e13,e13) != e10,
inference('REWRITE',[status(thm)],[238,12512,theory(equality)]) ).
cnf(12516,plain,
( op1(e13,e13) = e11
| op1(e13,e13) = e13
| op1(e13,e13) = e14 ),
inference('REWRITE',[status(thm)],[12509,12515]) ).
cnf(12527,plain,
op1(e14,e14) != e12,
inference('REWRITE',[status(thm)],[297,12498,theory(equality)]) ).
cnf(12528,plain,
( op1(e14,e14) = e13
| op1(e14,e14) = e14 ),
inference('REWRITE',[status(thm)],[12483,12527]) ).
cnf(12530,plain,
op1(e12,e11) = e14,
inference('REWRITE',[status(thm)],[467,12498,theory(equality)]) ).
cnf(12533,plain,
op1(e11,e11) != e14,
inference('REWRITE',[status(thm)],[215,12530,theory(equality)]) ).
cnf(12535,plain,
op1(e11,e13) = e14,
inference('REWRITE',[status(thm)],[12497,12533]) ).
cnf(12536,plain,
op1(e13,e13) != e14,
inference('REWRITE',[status(thm)],[236,12535,theory(equality)]) ).
cnf(12537,plain,
( op1(e13,e13) = e11
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[12516,12536]) ).
cnf(12540,plain,
op1(e14,e13) = e11,
inference('REWRITE',[status(thm)],[454,12535,theory(equality)]) ).
cnf(12543,plain,
op1(e13,e13) != e11,
inference('REWRITE',[status(thm)],[240,12540,theory(equality)]) ).
cnf(12544,plain,
op1(e13,e13) = e13,
inference('REWRITE',[status(thm)],[12537,12543]) ).
cnf(12545,plain,
op1(e13,e10) != e13,
inference('REWRITE',[status(thm)],[283,12544,theory(equality)]) ).
cnf(12546,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e14 ),
inference('REWRITE',[status(thm)],[12446,12545]) ).
cnf(12547,plain,
op1(e13,e12) != e13,
inference('REWRITE',[status(thm)],[288,12544,theory(equality)]) ).
cnf(12548,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[12374,12547]) ).
cnf(12550,plain,
op1(e13,e14) != e13,
inference('REWRITE',[status(thm)],[290,12544,theory(equality)]) ).
cnf(12551,plain,
( op1(e13,e14) = e12
| op1(e13,e14) = e14 ),
inference('REWRITE',[status(thm)],[12481,12550]) ).
cnf(12561,plain,
( h20(op1(e10,e10)) != e22
| h20(op1(e10,e11)) != e23
| h20(op1(e11,e11)) != e24
| h20(op1(e11,e12)) != e23
| h20(op1(e12,e12)) != e20
| h20(op1(e12,e14)) != e23
| h20(op1(e13,e10)) != e21
| h20(op1(e13,e12)) != e24
| h20(op1(e13,e14)) != e20
| h20(op1(e14,e10)) != e23
| h20(op1(e14,e14)) != e21 ),
inference('REWRITE',[status(thm)],[12385,12540,12498,644,12544,12512,12530,12288,12461,12299,12535,643,12477,12298,12501,12440,theory(equality)]) ).
cnf(12584,plain,
op1(e11,e11) = e11,
inference('REWRITE',[status(thm)],[39,405,12498,401,407,12530,12485,496,theory(equality)]) ).
cnf(12585,plain,
op1(e11,e12) != e11,
inference('REWRITE',[status(thm)],[265,12584,theory(equality)]) ).
cnf(12586,plain,
op1(e11,e12) = e13,
inference('REWRITE',[status(thm)],[12432,12585]) ).
cnf(12587,plain,
op1(e12,e12) != e13,
inference('REWRITE',[status(thm)],[225,12586,theory(equality)]) ).
cnf(12588,plain,
op1(e12,e12) = e12,
inference('REWRITE',[status(thm)],[12453,12587]) ).
cnf(12589,plain,
op1(e13,e12) != e12,
inference('REWRITE',[status(thm)],[228,12588,theory(equality)]) ).
cnf(12590,plain,
op1(e13,e12) = e11,
inference('REWRITE',[status(thm)],[12548,12589]) ).
cnf(12591,plain,
op1(e10,e11) = e13,
inference('REWRITE',[status(thm)],[12514,12590,theory(equality)]) ).
cnf(12592,plain,
op1(e10,e10) != e13,
inference('REWRITE',[status(thm)],[251,12591,theory(equality)]) ).
cnf(12593,plain,
op1(e10,e10) = e10,
inference('REWRITE',[status(thm)],[12444,12592]) ).
cnf(12594,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[203,12593,theory(equality)]) ).
cnf(12595,plain,
op1(e13,e10) = e14,
inference('REWRITE',[status(thm)],[12546,12594]) ).
cnf(12596,plain,
op1(e14,e10) != e14,
inference('REWRITE',[status(thm)],[210,12595,theory(equality)]) ).
cnf(12597,plain,
op1(e14,e10) = e13,
inference('REWRITE',[status(thm)],[12449,12596]) ).
cnf(12598,plain,
op1(e14,e14) != e13,
inference('REWRITE',[status(thm)],[294,12597,theory(equality)]) ).
cnf(12599,plain,
op1(e14,e14) = e14,
inference('REWRITE',[status(thm)],[12528,12598]) ).
cnf(12600,plain,
op1(e13,e14) != e14,
inference('REWRITE',[status(thm)],[250,12599,theory(equality)]) ).
cnf(12601,plain,
op1(e13,e14) = e12,
inference('REWRITE',[status(thm)],[12551,12600]) ).
cnf(12603,plain,
op1(e12,e14) = e13,
inference('REWRITE',[status(thm)],[465,12601,theory(equality)]) ).
cnf(12604,plain,
$false,
inference('REWRITE',[status(thm)],[12561,12599,12597,12601,12590,12299,12595,12603,12298,12588,12586,643,644,12591,12288,12593,12584,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG169+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 04:34:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-08T04:34:41
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-08T04:34:41
% 98.30/98.54
% 98.30/98.54
% 98.30/98.54 #||
% 98.30/98.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 98.30/98.54 % SZS output start Refutation
% See solution above
% 98.39/98.60 ||#
% 98.39/98.60
% 98.39/98.60 ; Summary of computation:
% 98.39/98.60 ; 73027 formulas have been input or derived (from 1 formulas).
% 98.39/98.60 ; 12604 (17%) were retained. Of these,
% 98.39/98.60 ; 12408 (98%) were simplified or subsumed later,
% 98.39/98.60 ; 196 ( 2%) are still being kept.
% 98.39/98.60 ;
% 98.39/98.60 ; Run time in seconds excluding printing time:
% 98.39/98.60 ; 0.119 0% Read assertion file (1 call)
% 98.39/98.60 ; 43.687 45% Assert (36 calls)
% 98.39/98.60 ; 2.291 2% Process new row (65,466 calls)
% 98.39/98.60 ; 0.039 0% Condensing (8,890 calls)
% 98.39/98.60 ; 3.367 3% Forward subsumption (8,890 calls)
% 98.39/98.60 ; 1.510 2% Backward subsumption (4,150 calls)
% 98.39/98.60 ; 6.562 7% Clause clause subsumption (36,180 calls)
% 98.39/98.60 ; 39.328 40% Forward simplification (65,466 calls)
% 98.39/98.60 ; 0.573 1% Backward simplification (5,087 calls)
% 98.39/98.60 ; 0.000 0% Ordering (443 calls)
% 98.39/98.60 ; 0.001 0% Sortal reasoning (32 calls)
% 98.39/98.60 ; 0.326 0% Purity testing (1 call)
% 98.39/98.60 ; 0.251 0% Other
% 98.39/98.60 ; 98.054 Total
% 98.39/98.60 ; 98.127 Real time
% 98.39/98.60 ;
% 98.39/98.60 ; Term-hash-array has 3,416 terms in all.
% 98.39/98.60 ; Feature-vector-row-index has 0 entries (557 at peak, 4,150 added, 4,150 deleted).
% 98.39/98.60 ; Feature-vector-row-index has 1 node (4,534 at peak, 61,355 added, 61,354 deleted).
% 98.39/98.60 ; Retrieved 61,761 possibly forward subsuming rows in 8,890 calls.
% 98.39/98.60 ; Retrieved 7,780 possibly backward subsumed rows in 4,150 calls.
% 98.39/98.60 ; Path-index has 355 entries (2,179 at peak, 11,341 added, 10,986 deleted).
% 98.39/98.60 ; Path-index has 532 nodes (1,218 at peak, 4,532 added, 4,000 deleted).
% 98.39/98.60 ; Trie-index has 355 entries (2,179 at peak, 11,341 added, 10,986 deleted).
% 98.39/98.60 ; Trie-index has 580 nodes (5,107 at peak, 24,642 added, 24,062 deleted).
% 98.39/98.60 ; Retrieved 2,196,261 generalization terms in 9,898,026 calls.
% 98.39/98.60 ; Retrieved 936 instance terms in 936 calls.
% 98.39/98.60 ;
% 98.39/98.60 ; The agenda of backward simplifiable rows to process has 38 entries:
% 98.39/98.60 ; 38 with value 0
% 98.39/98.60 ; The agenda of input rows to give has 195 entries:
% 98.39/98.60 ; 45 with value 4 100 with value 6 50 with value 7
% 98.39/98.60 Evaluation took:
% 98.39/98.60 98.128 seconds of real time
% 98.39/98.60 97.49503 seconds of user run time
% 98.39/98.60 0.616998 seconds of system run time
% 98.39/98.60 [Run times include 1.995 seconds GC run time.]
% 98.39/98.60 0 calls to %EVAL
% 98.39/98.60 0 page faults and
% 98.39/98.60 4,410,231,392 bytes consed.
% 98.39/98.60 :PROOF-FOUND
% 98.39/98.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T04:36:19
% 98.39/98.60 :PROOF-FOUND
% 98.39/98.60 *
%------------------------------------------------------------------------------