TSTP Solution File: ALG192+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG192+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 18:00:07 EDT 2022
% Result : Unsatisfiable 51.55s 51.78s
% Output : Refutation 51.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 153
% Syntax : Number of clauses : 477 ( 185 unt; 274 nHn; 477 RR)
% Number of literals : 1262 (1261 equ; 194 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(7,axiom,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(13,axiom,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(15,axiom,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(17,axiom,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(18,axiom,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(19,axiom,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(20,axiom,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(22,axiom,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(23,axiom,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(27,axiom,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(28,axiom,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(29,axiom,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(34,axiom,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(36,axiom,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(37,axiom,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(38,axiom,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(39,axiom,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(44,axiom,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(51,axiom,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(54,axiom,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(56,axiom,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(57,axiom,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(59,axiom,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(63,axiom,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(64,axiom,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(65,axiom,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(66,axiom,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(67,axiom,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(69,axiom,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(72,axiom,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(77,axiom,
op(op(e1,e0),op(e0,e1)) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(78,axiom,
op(op(e2,e0),op(e0,e2)) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(79,axiom,
op(op(e3,e0),op(e0,e3)) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(80,axiom,
op(op(e4,e0),op(e0,e4)) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(81,axiom,
op(op(e0,e1),op(e1,e0)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(82,axiom,
op(op(e1,e1),op(e1,e1)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(83,axiom,
op(op(e2,e1),op(e1,e2)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(84,axiom,
op(op(e3,e1),op(e1,e3)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(85,axiom,
op(op(e4,e1),op(e1,e4)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(86,axiom,
op(op(e0,e2),op(e2,e0)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(88,axiom,
op(op(e2,e2),op(e2,e2)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(89,axiom,
op(op(e3,e2),op(e2,e3)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(90,axiom,
op(op(e4,e2),op(e2,e4)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(91,axiom,
op(op(e0,e3),op(e3,e0)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(94,axiom,
op(op(e3,e3),op(e3,e3)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(95,axiom,
op(op(e4,e3),op(e3,e4)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(96,axiom,
op(op(e0,e4),op(e4,e0)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(97,axiom,
op(op(e1,e4),op(e4,e1)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(98,axiom,
op(op(e2,e4),op(e4,e2)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(99,axiom,
op(op(e3,e4),op(e4,e3)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(100,axiom,
op(op(e4,e4),op(e4,e4)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(101,axiom,
op(e0,e0) != op(e1,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(102,axiom,
op(e0,e0) != op(e2,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(103,axiom,
op(e0,e0) != op(e3,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(104,axiom,
op(e0,e0) != op(e4,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(106,axiom,
op(e1,e0) != op(e3,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(107,axiom,
op(e1,e0) != op(e4,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(108,axiom,
op(e2,e0) != op(e3,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(109,axiom,
op(e2,e0) != op(e4,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(111,axiom,
op(e0,e1) != op(e1,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(112,axiom,
op(e0,e1) != op(e2,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(113,axiom,
op(e0,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(116,axiom,
op(e1,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(117,axiom,
op(e1,e1) != op(e4,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(119,axiom,
op(e2,e1) != op(e4,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(120,axiom,
op(e3,e1) != op(e4,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(122,axiom,
op(e0,e2) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(123,axiom,
op(e0,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(124,axiom,
op(e0,e2) != op(e4,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(125,axiom,
op(e1,e2) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(127,axiom,
op(e1,e2) != op(e4,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(128,axiom,
op(e2,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(130,axiom,
op(e3,e2) != op(e4,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(132,axiom,
op(e0,e3) != op(e2,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(133,axiom,
op(e0,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(136,axiom,
op(e1,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(138,axiom,
op(e2,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(139,axiom,
op(e2,e3) != op(e4,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(141,axiom,
op(e0,e4) != op(e1,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(143,axiom,
op(e0,e4) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(144,axiom,
op(e0,e4) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(145,axiom,
op(e1,e4) != op(e2,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(146,axiom,
op(e1,e4) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(147,axiom,
op(e1,e4) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(148,axiom,
op(e2,e4) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(149,axiom,
op(e2,e4) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(150,axiom,
op(e3,e4) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(151,axiom,
op(e0,e0) != op(e0,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(152,axiom,
op(e0,e0) != op(e0,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(153,axiom,
op(e0,e0) != op(e0,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(154,axiom,
op(e0,e0) != op(e0,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(155,axiom,
op(e0,e1) != op(e0,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(156,axiom,
op(e0,e1) != op(e0,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(158,axiom,
op(e0,e2) != op(e0,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(159,axiom,
op(e0,e2) != op(e0,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(160,axiom,
op(e0,e3) != op(e0,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(161,axiom,
op(e1,e0) != op(e1,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(162,axiom,
op(e1,e0) != op(e1,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(166,axiom,
op(e1,e1) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(168,axiom,
op(e1,e2) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(177,axiom,
op(e2,e1) != op(e2,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(182,axiom,
op(e3,e0) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(183,axiom,
op(e3,e0) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(186,axiom,
op(e3,e1) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(187,axiom,
op(e3,e1) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(188,axiom,
op(e3,e2) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(189,axiom,
op(e3,e2) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(190,axiom,
op(e3,e3) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(193,axiom,
op(e4,e0) != op(e4,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(201,axiom,
e0 != e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(202,axiom,
e0 != e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(203,axiom,
e0 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(204,axiom,
e0 != e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(205,axiom,
e1 != e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(206,axiom,
e1 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(207,axiom,
e1 != e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(208,axiom,
e2 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(209,axiom,
e2 != e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(210,axiom,
e3 != e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(212,axiom,
op(e0,op(e0,e1)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(213,axiom,
op(e0,op(e0,e2)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(214,axiom,
op(e0,op(e0,e3)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(215,axiom,
op(e0,op(e0,e4)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(217,axiom,
op(e1,op(e1,e1)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(218,axiom,
op(e1,op(e1,e2)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(219,axiom,
op(e1,op(e1,e3)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(220,axiom,
op(e1,op(e1,e4)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(221,axiom,
op(e2,op(e2,e0)) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(222,axiom,
op(e2,op(e2,e1)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(223,axiom,
op(e2,op(e2,e2)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(224,axiom,
op(e2,op(e2,e3)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(225,axiom,
op(e2,op(e2,e4)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(226,axiom,
op(e3,op(e3,e0)) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(227,axiom,
op(e3,op(e3,e1)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(228,axiom,
op(e3,op(e3,e2)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(229,axiom,
op(e3,op(e3,e3)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(230,axiom,
op(e3,op(e3,e4)) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(231,axiom,
op(e4,op(e4,e0)) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(232,axiom,
op(e4,op(e4,e1)) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(233,axiom,
op(e4,op(e4,e2)) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(234,axiom,
op(e4,op(e4,e3)) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(269,axiom,
( e1 != op(op(e4,e2),e4)
| e3 != op(e4,op(op(e4,e2),e4))
| op(e4,e2) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
cnf(270,axiom,
( e1 != op(op(e0,e2),e0)
| e4 != op(e0,op(op(e0,e2),e0))
| op(e0,e2) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
cnf(297,axiom,
( e2 != op(op(e4,e3),e4)
| e0 != op(e4,op(op(e4,e3),e4))
| op(e4,e3) != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
cnf(328,axiom,
( e3 != op(op(e0,e4),e0)
| e1 != op(e0,op(op(e0,e4),e0))
| op(e0,e4) != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).
cnf(341,axiom,
( e4 != op(op(e3,e1),e3)
| e2 != op(e3,op(op(e3,e1),e3))
| op(e3,e1) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).
cnf(343,axiom,
( e4 != op(op(e2,e1),e2)
| e3 != op(e2,op(op(e2,e1),e2))
| op(e2,e1) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
cnf(347,axiom,
( e4 != op(op(e3,e2),e3)
| e1 != op(e3,op(op(e3,e2),e3))
| op(e3,e2) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).
cnf(379,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[213,3,theory(equality)]) ).
cnf(392,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[214,4,theory(equality)]) ).
cnf(413,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,5,theory(equality)]),204,231,theory(equality)]) ).
cnf(427,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[217,7,theory(equality)]) ).
cnf(436,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e4,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[82,7,theory(equality)]) ).
cnf(471,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,10,theory(equality)]),207,232,theory(equality)]) ).
cnf(498,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[223,13,theory(equality)]) ).
cnf(507,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[88,13,theory(equality)]) ).
cnf(529,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[98,15,theory(equality)]),209,233,theory(equality)]) ).
cnf(569,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,19,theory(equality)]) ).
cnf(578,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[94,19,theory(equality)]) ).
cnf(587,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[99,20,theory(equality)]),210,234,theory(equality)]) ).
cnf(599,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[232,22,theory(equality)]) ).
cnf(652,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[80,27,theory(equality)]),204,215,theory(equality)]) ).
cnf(668,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(op(e0,e4),e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[96,29,theory(equality)]) ).
cnf(720,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,34,theory(equality)]),204,231,theory(equality)]) ).
cnf(731,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[220,36,theory(equality)]) ).
cnf(740,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e0) = e1 ),
inference('PARAMODULATE',[status(thm)],[232,37,theory(equality)]) ).
cnf(749,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[220,38,theory(equality)]) ).
cnf(762,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,39,theory(equality)]),207,220,theory(equality)]) ).
cnf(811,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,44,theory(equality)]),207,232,theory(equality)]) ).
cnf(822,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[225,46,theory(equality)]) ).
cnf(874,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[90,51,theory(equality)]),209,225,theory(equality)]) ).
cnf(902,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[98,54,theory(equality)]),209,233,theory(equality)]) ).
cnf(913,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[230,56,theory(equality)]) ).
cnf(922,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[234,57,theory(equality)]) ).
cnf(941,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[234,59,theory(equality)]) ).
cnf(948,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e4) != e2
| e0 != op(e4,op(e1,e4)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[297,59,theory(equality)]),theory(equality)]) ).
cnf(988,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[95,63,theory(equality)]),210,230,theory(equality)]) ).
cnf(993,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[99,64,theory(equality)]),210,234,theory(equality)]) ).
cnf(994,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[234,65,theory(equality)]) ).
cnf(1009,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e0,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,66,theory(equality)]) ).
cnf(1015,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e0,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,67,theory(equality)]) ).
cnf(1029,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e1,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,69,theory(equality)]) ).
cnf(1057,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e3,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,72,theory(equality)]) ).
cnf(1092,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[215,413,theory(equality)]) ).
cnf(1118,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[225,529,theory(equality)]) ).
cnf(1131,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[230,587,theory(equality)]) ).
cnf(1148,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,652,theory(equality)]),203,214,theory(equality)]) ).
cnf(1156,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[78,1148,theory(equality)]),202,213,theory(equality)]) ).
cnf(1165,plain,
op(e0,e0) = e0,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[77,1156,theory(equality)]),201,212,theory(equality)]) ).
cnf(1166,plain,
( op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference('REWRITE',[status(thm)],[28,201,1165,theory(equality)]) ).
cnf(1173,plain,
op(e1,e0) != e0,
inference('REWRITE',[status(thm)],[101,1165,theory(equality)]) ).
cnf(1188,plain,
( op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e0) = e4 ),
inference('REWRITE',[status(thm)],[731,1173]) ).
cnf(1200,plain,
op(e2,e0) != e0,
inference('REWRITE',[status(thm)],[102,1165,theory(equality)]) ).
cnf(1215,plain,
( op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[822,1200]) ).
cnf(1227,plain,
op(e3,e0) != e0,
inference('REWRITE',[status(thm)],[103,1165,theory(equality)]) ).
cnf(1242,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[913,1227]) ).
cnf(1254,plain,
op(e4,e0) != e0,
inference('REWRITE',[status(thm)],[104,1165,theory(equality)]) ).
cnf(1279,plain,
op(e0,e1) != e0,
inference('REWRITE',[status(thm)],[151,1165,theory(equality)]) ).
cnf(1294,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e0) = e1 ),
inference('REWRITE',[status(thm)],[740,1279]) ).
cnf(1305,plain,
op(e0,e2) != e0,
inference('REWRITE',[status(thm)],[152,1165,theory(equality)]) ).
cnf(1308,plain,
( op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e4) = e2 ),
inference('REWRITE',[status(thm)],[379,1305]) ).
cnf(1331,plain,
op(e0,e3) != e0,
inference('REWRITE',[status(thm)],[153,1165,theory(equality)]) ).
cnf(1334,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
inference('REWRITE',[status(thm)],[392,1331]) ).
cnf(1346,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e0) = e3 ),
inference('REWRITE',[status(thm)],[922,1331]) ).
cnf(1357,plain,
op(e0,e4) != e0,
inference('REWRITE',[status(thm)],[154,1165,theory(equality)]) ).
cnf(1371,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[1092,1357]) ).
cnf(1397,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(op(e0,e4),e1) = e4 ),
inference('REWRITE',[status(thm)],[668,201,1165,theory(equality)]) ).
cnf(1443,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[720,204,1165,theory(equality)]) ).
cnf(1454,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference('REWRITE',[status(thm)],[1009,204,1254,1165,theory(equality)]) ).
cnf(1455,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference('REWRITE',[status(thm)],[1015,204,1357,1165,theory(equality)]) ).
cnf(1456,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[214,1443,theory(equality)]) ).
cnf(1460,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e2,e3) != e4 ),
inference('PARAMODULATE',[status(thm)],[132,1443,theory(equality)]) ).
cnf(1463,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(op(e3,e0),e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[79,1443,theory(equality)]) ).
cnf(1466,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[234,1454,theory(equality)]) ).
cnf(1479,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[190,1455,theory(equality)]) ).
cnf(1480,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e2) != e0 ),
inference('PARAMODULATE',[status(thm)],[189,1455,theory(equality)]) ).
cnf(1481,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[187,1455,theory(equality)]) ).
cnf(1490,plain,
( op(e0,e4) = e1
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[215,1371,theory(equality)]) ).
cnf(1495,plain,
( op(e0,e4) = e1
| op(e0,e3) = e4
| op(e3,e4) != e2 ),
inference('PARAMODULATE',[status(thm)],[143,1371,theory(equality)]) ).
cnf(1517,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(op(e4,e0),e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[80,1456,theory(equality)]) ).
cnf(1524,plain,
( op(e4,e1) = e0
| op(e4,e0) = e3
| op(e4,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[233,1466,theory(equality)]) ).
cnf(1533,plain,
( op(e4,e1) = e0
| op(e4,e0) = e3
| op(e0,e4) != e1
| e3 != op(e4,op(e0,e4)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[269,1466,theory(equality)]),theory(equality)]) ).
cnf(1554,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e4) != e1 ),
inference('PARAMODULATE',[status(thm)],[143,1490,theory(equality)]) ).
cnf(1572,plain,
( op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference('PARAMODULATE',[status(thm)],[232,1524,theory(equality)]) ).
cnf(1610,plain,
( op(e4,e0) = e2
| op(e4,e0) = e1
| op(e2,e0) != e3 ),
inference('PARAMODULATE',[status(thm)],[109,1572,theory(equality)]) ).
cnf(1759,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[84,762,theory(equality)]),206,219,theory(equality)]) ).
cnf(1767,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[83,1759,theory(equality)]),205,218,theory(equality)]) ).
cnf(1775,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[219,811,theory(equality)]) ).
cnf(1792,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[89,874,theory(equality)]),208,224,theory(equality)]) ).
cnf(1807,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[1460,902]) ).
cnf(1812,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e1) != e3 ),
inference('PARAMODULATE',[status(thm)],[186,988,theory(equality)]) ).
cnf(1815,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,993,theory(equality)]) ).
cnf(1821,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[94,993,theory(equality)]) ).
cnf(1843,plain,
( op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e0) = e4
| op(e1,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[219,1188,theory(equality)]) ).
cnf(1876,plain,
( op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e0) = e4
| op(e2,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[224,1215,theory(equality)]) ).
cnf(1914,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[94,1242,theory(equality)]),203,1165,theory(equality)]) ).
cnf(1915,plain,
( op(e3,e1) = e0
| op(e3,e0) = e4
| op(e3,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[228,1914,theory(equality)]) ).
cnf(1924,plain,
( op(e3,e1) = e0
| op(e3,e0) = e4
| op(e0,e3) != e4
| e1 != op(e3,op(e0,e3)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[347,1914,theory(equality)]),theory(equality)]) ).
cnf(1936,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e0,e3) != e4
| e2 != op(e3,op(e0,e3)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[341,1915,theory(equality)]),theory(equality)]) ).
cnf(2007,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(op(e0,e4),e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[96,1294,theory(equality)]) ).
cnf(2069,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1166,1334,theory(equality)]),206]) ).
cnf(2089,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[1517,1346,theory(equality)]) ).
cnf(2247,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e3) = e4
| op(e2,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[225,1118,theory(equality)]) ).
cnf(2268,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e3) = e4
| op(e3,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[230,1131,theory(equality)]) ).
cnf(2322,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(op(e4,e1),e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[85,1775,theory(equality)]) ).
cnf(2362,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[150,1815,theory(equality)]) ).
cnf(2390,plain,
( op(e1,e1) = e0
| op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[218,1843,theory(equality)]) ).
cnf(2409,plain,
( op(e2,e1) = e0
| op(e2,e0) = e4
| op(e2,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[88,1876,theory(equality)]),202,1165,theory(equality)]) ).
cnf(2421,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e0,e2) != e4
| e3 != op(e2,op(e0,e2)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[343,2409,theory(equality)]),theory(equality)]) ).
cnf(2604,plain,
( op(e2,e4) = e0
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[225,2247,theory(equality)]) ).
cnf(2626,plain,
( op(e3,e4) = e0
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[230,2268,theory(equality)]) ).
cnf(2655,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[2362,1821]) ).
cnf(2656,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[228,2655,theory(equality)]) ).
cnf(2665,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1914,2655,theory(equality)]),204]) ).
cnf(2679,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e0,e4) = e1
| op(e0,e3) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[1495,2656]) ).
cnf(2697,plain,
( op(e3,e0) = e4
| op(e3,e1) = e0
| op(e3,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[227,2665,theory(equality)]) ).
cnf(2723,plain,
( op(e3,e0) = e4
| op(e3,e1) = e0
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[1554,2697]) ).
cnf(2771,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[82,2390,theory(equality)]),201,1165,theory(equality)]) ).
cnf(2780,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(op(e0,e1),e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[81,2771,theory(equality)]) ).
cnf(3139,plain,
( op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[177,2604,theory(equality)]) ).
cnf(3160,plain,
( op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[187,2626,theory(equality)]) ).
cnf(3600,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e3) = e4
| op(e2,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3139,2409,theory(equality)]),204,theory(equality)]) ).
cnf(3605,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e3) = e4
| op(e3,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3160,1915,theory(equality)]),204,theory(equality)]) ).
cnf(3612,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e4,e1) = e0
| op(e4,e0) = e3
| op(e4,e1) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1533,1490,theory(equality)]),theory(equality)]) ).
cnf(3639,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e3,e1) = e0
| op(e3,e0) = e4
| op(e3,e4) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1924,1443,theory(equality)]),theory(equality)]) ).
cnf(3746,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e0,e3) = e4
| op(e0,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[215,2679,theory(equality)]) ).
cnf(4106,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e2) = e4
| op(e2,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[224,3600,theory(equality)]) ).
cnf(4125,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e2) = e4
| op(e3,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,3605,theory(equality)]) ).
cnf(4132,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e2) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[94,3605,theory(equality)]) ).
cnf(4268,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1 ),
inference('PARAMODULATE',[status(thm)],[227,2723,theory(equality)]) ).
cnf(4425,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4
| op(e0,e1) = e4
| op(e3,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1915,3746,theory(equality)]),204]) ).
cnf(4645,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e2) = e4
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[150,4125,theory(equality)]) ).
cnf(4677,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e4,e4) != e1 ),
inference('PARAMODULATE',[status(thm)],[147,427,theory(equality)]) ).
cnf(4830,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e4) != e2 ),
inference('PARAMODULATE',[status(thm)],[149,498,theory(equality)]) ).
cnf(4968,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[150,569,theory(equality)]) ).
cnf(5023,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e1,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,599,theory(equality)]) ).
cnf(5088,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e1) = e4
| op(e1,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[219,749,theory(equality)]) ).
cnf(5549,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[2322,941,theory(equality)]) ).
cnf(5638,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,994,theory(equality)]) ).
cnf(5639,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,5638,theory(equality)]) ).
cnf(5645,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[94,5638,theory(equality)]) ).
cnf(5663,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[150,5639,theory(equality)]) ).
cnf(5712,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[5663,5645]) ).
cnf(5957,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e1,e1) = e4
| op(e3,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[230,1029,theory(equality)]) ).
cnf(6171,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e3,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[95,1057,theory(equality)]),210,230,theory(equality)]) ).
cnf(6181,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e3,e3) = e4
| op(e4,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1466,6171,theory(equality)]),203]) ).
cnf(6748,plain,
( op(e3,e0) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1
| op(e0,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[214,4268,theory(equality)]) ).
cnf(6884,plain,
( op(e3,e0) = e4
| op(e0,e1) = e4
| op(e3,e0) = e2
| op(e3,e4) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1936,4425,theory(equality)]),theory(equality)]) ).
cnf(7036,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[4645,4132]) ).
cnf(7037,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[228,7036,theory(equality)]) ).
cnf(7851,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[91,2069,theory(equality)]),203,226,theory(equality)]) ).
cnf(8732,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[4677,436]) ).
cnf(8733,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[217,8732,theory(equality)]) ).
cnf(8742,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[82,8732,theory(equality)]) ).
cnf(8753,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[136,8733,theory(equality)]) ).
cnf(8790,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[8753,8742]) ).
cnf(8791,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[217,8790,theory(equality)]) ).
cnf(8800,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[82,8790,theory(equality)]) ).
cnf(8807,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[125,8791,theory(equality)]) ).
cnf(8827,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[8807,8800]) ).
cnf(8837,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[4830,507]) ).
cnf(8838,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[223,8837,theory(equality)]) ).
cnf(8847,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[88,8837,theory(equality)]) ).
cnf(8864,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) != e2 ),
inference('PARAMODULATE',[status(thm)],[138,8838,theory(equality)]) ).
cnf(8907,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[8864,8847]) ).
cnf(8918,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[4968,578]) ).
cnf(9309,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2 ),
inference('PARAMODULATE',[status(thm)],[218,5088,theory(equality)]) ).
cnf(9708,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e1,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[225,5957,theory(equality)]) ).
cnf(10161,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e0,e1) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[6884,7037]) ).
cnf(10560,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8907,1807,theory(equality)]),209,207,204]) ).
cnf(10569,plain,
( op(e2,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e2,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2409,10560,theory(equality)]),204]) ).
cnf(10617,plain,
( op(e2,e0) = e4
| op(e0,e1) = e4
| op(e2,e0) = e3
| op(e2,e2) != e4 ),
inference('PARAMODULATE',[status(thm)],[122,10569,theory(equality)]) ).
cnf(10624,plain,
( op(e2,e0) = e4
| op(e0,e1) = e4
| op(e2,e0) = e3
| op(e2,e4) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2421,10569,theory(equality)]),theory(equality)]) ).
cnf(10700,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e2) = e4
| op(e0,e1) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[10624,4106]) ).
cnf(11348,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e3
| op(e1,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8827,9309,theory(equality)]),207,204]) ).
cnf(11713,plain,
( op(e0,e4) = e1
| op(e1,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[220,9708,theory(equality)]) ).
cnf(11954,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e0,e1) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[10617,10700]) ).
cnf(11955,plain,
( op(e2,e0) = e3
| op(e0,e1) = e4
| op(e2,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[221,11954,theory(equality)]) ).
cnf(11961,plain,
( op(e2,e0) = e3
| op(e0,e1) = e4
| op(e3,e0) != e4 ),
inference('PARAMODULATE',[status(thm)],[108,11954,theory(equality)]) ).
cnf(11965,plain,
( op(e2,e0) = e3
| op(e0,e1) = e4
| op(e4,op(e0,e2)) = e0 ),
inference('PARAMODULATE',[status(thm)],[78,11954,theory(equality)]) ).
cnf(11981,plain,
( op(e2,e0) = e3
| op(e0,e1) = e4
| op(e4,e4) != e0 ),
inference('PARAMODULATE',[status(thm)],[149,11955,theory(equality)]) ).
cnf(12114,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8827,11348,theory(equality)]),206,203]) ).
cnf(12125,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8827,12114,theory(equality)]),205,202]) ).
cnf(12127,plain,
( op(e1,e0) = e1
| op(e1,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[166,12125,theory(equality)]) ).
cnf(12843,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[94,2089,theory(equality)]),203,1165,theory(equality)]) ).
cnf(12844,plain,
( op(e1,e3) = e0
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e2,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[224,12843,theory(equality)]) ).
cnf(12872,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e2,e0) = e3
| op(op(e3,e1),e0) = e1 ),
inference('PARAMODULATE',[status(thm)],[84,12844,theory(equality)]) ).
cnf(13300,plain,
( op(e4,e0) = e3
| op(e3,e3) = e4
| op(e4,e1) = e0
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[3612,6181]) ).
cnf(13307,plain,
( op(e3,e0) = e4
| op(e3,e1) = e0
| op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[3639,2697]) ).
cnf(13308,plain,
( op(e3,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1 ),
inference('PARAMODULATE',[status(thm)],[227,13307,theory(equality)]) ).
cnf(13320,plain,
( op(e3,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e2,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12872,13307,theory(equality)]),201,1165,theory(equality)]) ).
cnf(13327,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1
| op(e4,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[1463,13308,theory(equality)]) ).
cnf(13348,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e2,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[11961,13320]) ).
cnf(13350,plain,
( op(e0,e1) = e4
| op(e2,e0) = e3
| op(e4,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[11965,13348,theory(equality)]) ).
cnf(13383,plain,
( op(e0,e1) = e4
| op(e2,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[11981,13350]) ).
cnf(13392,plain,
( op(e0,e1) = e4
| op(op(e0,e2),e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[86,13383,theory(equality)]) ).
cnf(13395,plain,
( op(e0,e1) = e4
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[1610,13383]) ).
cnf(13485,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[100,13327,theory(equality)]),204,1165,theory(equality)]) ).
cnf(13496,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10161,13485,theory(equality)]),205,207]) ).
cnf(13498,plain,
( op(e0,e1) = e4
| op(e0,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[213,13496,theory(equality)]) ).
cnf(13508,plain,
( op(e0,e1) = e4
| op(e4,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[13392,13496,theory(equality)]) ).
cnf(13547,plain,
( op(e0,e1) = e4
| op(e2,op(e4,e0)) = e4 ),
inference('PARAMODULATE',[status(thm)],[96,13498,theory(equality)]) ).
cnf(13548,plain,
( op(e0,e1) = e4
| op(op(e4,e0),e2) = e0 ),
inference('PARAMODULATE',[status(thm)],[80,13498,theory(equality)]) ).
cnf(13554,plain,
( op(e0,e1) = e4
| op(e2,e0) != e3
| e1 != op(e0,op(e2,e0)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[328,13498,theory(equality)]),theory(equality)]) ).
cnf(13631,plain,
( op(e0,e1) = e4
| op(e4,e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[234,13508,theory(equality)]) ).
cnf(13634,plain,
( op(e0,e1) = e4
| op(e4,e0) != e2 ),
inference('PARAMODULATE',[status(thm)],[193,13508,theory(equality)]) ).
cnf(13688,plain,
( op(e0,e1) = e4
| op(op(e2,e4),e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[98,13631,theory(equality)]) ).
cnf(13824,plain,
( op(e0,e1) = e4
| op(e4,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[13634,13395]) ).
cnf(13825,plain,
( op(e0,e1) = e4
| op(e1,e2) = e0 ),
inference('PARAMODULATE',[status(thm)],[13548,13824,theory(equality)]) ).
cnf(13826,plain,
( op(e0,e1) = e4
| op(e2,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[13547,13824,theory(equality)]) ).
cnf(13827,plain,
( op(e0,e1) = e4
| op(e4,e1) = e0 ),
inference('PARAMODULATE',[status(thm)],[231,13824,theory(equality)]) ).
cnf(13840,plain,
( op(e0,e1) = e4
| op(e1,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[218,13825,theory(equality)]) ).
cnf(13848,plain,
( op(e0,e1) = e4
| op(e2,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[222,13826,theory(equality)]) ).
cnf(13857,plain,
( op(e0,e1) = e4
| op(e0,op(e1,e4)) = e1 ),
inference('PARAMODULATE',[status(thm)],[85,13827,theory(equality)]) ).
cnf(13877,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e4,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[2780,13840,theory(equality)]) ).
cnf(13892,plain,
( op(e0,e1) = e4
| op(e1,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[13688,13848,theory(equality)]) ).
cnf(13958,plain,
( op(e0,e1) = e4
| op(e1,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[219,13892,theory(equality)]) ).
cnf(14030,plain,
( op(e0,e1) = e4
| op(e0,e3) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13554,13383,theory(equality)]),theory(equality)]) ).
cnf(14033,plain,
( op(e0,e1) = e4
| op(e0,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[13857,13958,theory(equality)]) ).
cnf(14193,plain,
op(e0,e1) = e4,
inference('HYPERRESOLVE',[status(thm)],[14030,14033]) ).
cnf(14198,plain,
op(e1,e1) != e4,
inference('REWRITE',[status(thm)],[111,14193,theory(equality)]) ).
cnf(14271,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference('REWRITE',[status(thm)],[5023,14198]) ).
cnf(14275,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e0) = e4
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[5549,14198]) ).
cnf(14666,plain,
( op(e0,e4) = e1
| op(e3,e1) = e4
| op(e2,e1) = e4 ),
inference('REWRITE',[status(thm)],[11713,14198]) ).
cnf(14765,plain,
op(e2,e1) != e4,
inference('REWRITE',[status(thm)],[112,14193,theory(equality)]) ).
cnf(15074,plain,
( op(e0,e4) = e1
| op(e3,e1) = e4 ),
inference('REWRITE',[status(thm)],[14666,14765]) ).
cnf(15121,plain,
op(e3,e1) != e4,
inference('REWRITE',[status(thm)],[113,14193,theory(equality)]) ).
cnf(15122,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[17,15121]) ).
cnf(15124,plain,
( op(e3,e4) = e0
| op(e3,e3) = e4
| op(e3,e2) = e4 ),
inference('REWRITE',[status(thm)],[2626,15121]) ).
cnf(15373,plain,
op(e0,e4) = e1,
inference('REWRITE',[status(thm)],[15074,15121]) ).
cnf(15379,plain,
op(e1,e4) != e1,
inference('REWRITE',[status(thm)],[141,15373,theory(equality)]) ).
cnf(15380,plain,
( op(e1,e4) = e0
| op(e1,e4) = e2
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[471,15379]) ).
cnf(15674,plain,
op(e4,e4) != e1,
inference('REWRITE',[status(thm)],[144,15373,theory(equality)]) ).
cnf(15683,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference('REWRITE',[status(thm)],[13877,15674]) ).
cnf(15684,plain,
op(e0,e2) != e1,
inference('REWRITE',[status(thm)],[159,15373,theory(equality)]) ).
cnf(15861,plain,
op(e0,e3) != e1,
inference('REWRITE',[status(thm)],[160,15373,theory(equality)]) ).
cnf(15869,plain,
( op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e4) != e2
| e0 != op(e4,op(e1,e4)) ),
inference('REWRITE',[status(thm)],[948,15861]) ).
cnf(16004,plain,
( op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e0) = e4
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[14275,15861]) ).
cnf(16059,plain,
( op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference('REWRITE',[status(thm)],[1308,205,15684,15373,theory(equality)]) ).
cnf(16063,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference('REWRITE',[status(thm)],[1397,14198,15373,theory(equality)]) ).
cnf(16073,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference('REWRITE',[status(thm)],[2007,14198,15373,theory(equality)]) ).
cnf(16259,plain,
( op(e3,e0) = e4
| op(e0,e2) = e4
| op(e3,e0) = e1 ),
inference('REWRITE',[status(thm)],[6748,206,15373,theory(equality)]) ).
cnf(16449,plain,
op(e0,e2) != e4,
inference('REWRITE',[status(thm)],[155,14193,theory(equality)]) ).
cnf(16591,plain,
( op(e4,e0) = e3
| op(e3,e3) = e4
| op(e4,e1) = e0
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[13300,16449]) ).
cnf(16624,plain,
( op(e3,e0) = e4
| op(e3,e0) = e1 ),
inference('REWRITE',[status(thm)],[16259,16449]) ).
cnf(16629,plain,
op(e0,e3) != e4,
inference('REWRITE',[status(thm)],[156,14193,theory(equality)]) ).
cnf(16637,plain,
( op(e1,e3) = e4
| op(e2,e3) = e4 ),
inference('REWRITE',[status(thm)],[5712,16629]) ).
cnf(16896,plain,
( op(e4,e0) = e3
| op(e3,e3) = e4
| op(e4,e1) = e0 ),
inference('REWRITE',[status(thm)],[16591,16629]) ).
cnf(16932,plain,
op(e1,e1) = e1,
inference('REWRITE',[status(thm)],[1767,207,14193,theory(equality)]) ).
cnf(16974,plain,
op(e3,e1) != e1,
inference('REWRITE',[status(thm)],[116,16932,theory(equality)]) ).
cnf(16975,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[15122,16974]) ).
cnf(17008,plain,
op(e4,e1) != e1,
inference('REWRITE',[status(thm)],[117,16932,theory(equality)]) ).
cnf(17010,plain,
( op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference('REWRITE',[status(thm)],[14271,17008]) ).
cnf(17165,plain,
op(e1,e0) != e1,
inference('REWRITE',[status(thm)],[161,16932,theory(equality)]) ).
cnf(17166,plain,
op(e1,e3) != e1,
inference('REWRITE',[status(thm)],[12127,17165]) ).
cnf(17207,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e4) != e2
| e0 != op(e4,op(e1,e4)) ),
inference('REWRITE',[status(thm)],[15869,17166]) ).
cnf(17237,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e0) = e4
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[16004,17166]) ).
cnf(17366,plain,
( op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference('REWRITE',[status(thm)],[16063,17165]) ).
cnf(17639,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference('REWRITE',[status(thm)],[16073,201,16932,theory(equality)]) ).
cnf(17802,plain,
op(e0,e3) = e2,
inference('REWRITE',[status(thm)],[7851,15684,207,15861,14193,theory(equality)]) ).
cnf(17939,plain,
op(e3,e3) != e2,
inference('REWRITE',[status(thm)],[133,17802,theory(equality)]) ).
cnf(17964,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e3 ),
inference('REWRITE',[status(thm)],[8918,17939]) ).
cnf(18100,plain,
op(e0,e2) != e2,
inference('REWRITE',[status(thm)],[158,17802,theory(equality)]) ).
cnf(18101,plain,
( op(e1,e2) = e2
| op(e2,e2) = e2 ),
inference('REWRITE',[status(thm)],[1792,18100]) ).
cnf(18116,plain,
op(e0,e2) = e3,
inference('REWRITE',[status(thm)],[16059,18100]) ).
cnf(18272,plain,
op(e3,e2) != e3,
inference('REWRITE',[status(thm)],[123,18116,theory(equality)]) ).
cnf(18273,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e4 ),
inference('REWRITE',[status(thm)],[18,18272]) ).
cnf(18336,plain,
op(e4,e2) != e3,
inference('REWRITE',[status(thm)],[124,18116,theory(equality)]) ).
cnf(18337,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference('REWRITE',[status(thm)],[23,18336]) ).
cnf(18492,plain,
( op(e3,e0) != e1
| e4 != op(e0,op(e3,e0)) ),
inference('REWRITE',[status(thm)],[270,18116,theory(equality)]) ).
cnf(18522,plain,
( op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e1) != e3 ),
inference('REWRITE',[status(thm)],[1812,208,17802,theory(equality)]) ).
cnf(18657,plain,
op(e2,e0) = e1,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18492,17366,theory(equality)]),14193,theory(equality)]) ).
cnf(18658,plain,
op(e3,e0) != e1,
inference('REWRITE',[status(thm)],[108,18657,theory(equality)]) ).
cnf(18676,plain,
op(e3,e0) = e4,
inference('REWRITE',[status(thm)],[16624,18658]) ).
cnf(18677,plain,
op(e1,e0) != e4,
inference('REWRITE',[status(thm)],[106,18676,theory(equality)]) ).
cnf(18705,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[17237,18677]) ).
cnf(18801,plain,
op(e3,e2) != e4,
inference('REWRITE',[status(thm)],[182,18676,theory(equality)]) ).
cnf(18802,plain,
( op(e3,e4) = e0
| op(e3,e3) = e4 ),
inference('REWRITE',[status(thm)],[15124,18801]) ).
cnf(18871,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2 ),
inference('REWRITE',[status(thm)],[18273,18801]) ).
cnf(18884,plain,
op(e3,e3) != e4,
inference('REWRITE',[status(thm)],[183,18676,theory(equality)]) ).
cnf(18902,plain,
( op(e4,e0) = e3
| op(e4,e1) = e0 ),
inference('REWRITE',[status(thm)],[16896,18884]) ).
cnf(18935,plain,
op(e3,e4) = e0,
inference('REWRITE',[status(thm)],[18802,18884]) ).
cnf(18938,plain,
op(e1,e4) != e0,
inference('REWRITE',[status(thm)],[146,18935,theory(equality)]) ).
cnf(18939,plain,
( op(e2,e4) = e0
| op(e3,e3) != e0 ),
inference('REWRITE',[status(thm)],[1479,18938]) ).
cnf(18940,plain,
( op(e2,e4) = e0
| op(e3,e2) != e0 ),
inference('REWRITE',[status(thm)],[1480,18938]) ).
cnf(18941,plain,
( op(e2,e4) = e0
| op(e3,e1) != e0 ),
inference('REWRITE',[status(thm)],[1481,18938]) ).
cnf(18961,plain,
( op(e1,e4) = e2
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[15380,18938]) ).
cnf(19014,plain,
op(e2,e4) != e0,
inference('REWRITE',[status(thm)],[148,18935,theory(equality)]) ).
cnf(19047,plain,
op(e3,e3) != e0,
inference('REWRITE',[status(thm)],[18939,19014]) ).
cnf(19062,plain,
( op(e3,e3) = e1
| op(e3,e3) = e3 ),
inference('REWRITE',[status(thm)],[17964,19047]) ).
cnf(19072,plain,
op(e3,e2) != e0,
inference('REWRITE',[status(thm)],[18940,19014]) ).
cnf(19080,plain,
( op(e3,e2) = e1
| op(e3,e2) = e2 ),
inference('REWRITE',[status(thm)],[18871,19072]) ).
cnf(19099,plain,
op(e3,e1) != e0,
inference('REWRITE',[status(thm)],[18941,19014]) ).
cnf(19101,plain,
( op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[16975,19099]) ).
cnf(19102,plain,
op(e2,e1) = e0,
inference('REWRITE',[status(thm)],[17639,19099]) ).
cnf(19105,plain,
op(e4,e1) != e0,
inference('REWRITE',[status(thm)],[119,19102,theory(equality)]) ).
cnf(19111,plain,
( op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference('REWRITE',[status(thm)],[17010,19105]) ).
cnf(19139,plain,
op(e4,e0) = e3,
inference('REWRITE',[status(thm)],[18902,19105]) ).
cnf(19140,plain,
op(e1,e0) != e3,
inference('REWRITE',[status(thm)],[107,19139,theory(equality)]) ).
cnf(19141,plain,
op(e1,e0) = e2,
inference('REWRITE',[status(thm)],[15683,19140]) ).
cnf(19142,plain,
op(e1,e2) != e2,
inference('REWRITE',[status(thm)],[162,19141,theory(equality)]) ).
cnf(19143,plain,
op(e2,e2) = e2,
inference('REWRITE',[status(thm)],[18101,19142]) ).
cnf(19144,plain,
op(e3,e2) != e2,
inference('REWRITE',[status(thm)],[128,19143,theory(equality)]) ).
cnf(19145,plain,
op(e3,e2) = e1,
inference('REWRITE',[status(thm)],[19080,19144]) ).
cnf(19148,plain,
op(e4,e2) != e1,
inference('REWRITE',[status(thm)],[130,19145,theory(equality)]) ).
cnf(19149,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference('REWRITE',[status(thm)],[18337,19148]) ).
cnf(19163,plain,
op(e3,e3) != e1,
inference('REWRITE',[status(thm)],[188,19145,theory(equality)]) ).
cnf(19166,plain,
( op(e2,e3) = e1
| op(e1,e4) != e2
| e0 != op(e4,op(e1,e4)) ),
inference('REWRITE',[status(thm)],[17207,19163]) ).
cnf(19170,plain,
( op(e2,e3) = e1
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[18705,19163]) ).
cnf(19173,plain,
op(e3,e3) = e3,
inference('REWRITE',[status(thm)],[19062,19163]) ).
cnf(19174,plain,
op(e1,e3) != e3,
inference('REWRITE',[status(thm)],[136,19173,theory(equality)]) ).
cnf(19188,plain,
( op(e2,e3) = e3
| op(e3,e1) != e3 ),
inference('REWRITE',[status(thm)],[18522,19174]) ).
cnf(19191,plain,
op(e2,e3) != e3,
inference('REWRITE',[status(thm)],[138,19173,theory(equality)]) ).
cnf(19201,plain,
op(e3,e1) != e3,
inference('REWRITE',[status(thm)],[19188,19191]) ).
cnf(19202,plain,
op(e3,e1) = e2,
inference('REWRITE',[status(thm)],[19101,19201]) ).
cnf(19205,plain,
op(e4,e1) != e2,
inference('REWRITE',[status(thm)],[120,19202,theory(equality)]) ).
cnf(19206,plain,
op(e4,e1) = e3,
inference('REWRITE',[status(thm)],[19111,19205]) ).
cnf(19216,plain,
op(e4,e3) = e1,
inference('REWRITE',[status(thm)],[232,19206,theory(equality)]) ).
cnf(19217,plain,
op(e2,e3) != e1,
inference('REWRITE',[status(thm)],[139,19216,theory(equality)]) ).
cnf(19218,plain,
( op(e1,e4) != e2
| e0 != op(e4,op(e1,e4)) ),
inference('REWRITE',[status(thm)],[19166,19217]) ).
cnf(19219,plain,
op(e1,e2) = e4,
inference('REWRITE',[status(thm)],[19170,19217]) ).
cnf(19220,plain,
op(e4,e2) != e4,
inference('REWRITE',[status(thm)],[127,19219,theory(equality)]) ).
cnf(19221,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2 ),
inference('REWRITE',[status(thm)],[19149,19220]) ).
cnf(19222,plain,
op(e1,e3) != e4,
inference('REWRITE',[status(thm)],[168,19219,theory(equality)]) ).
cnf(19223,plain,
op(e2,e3) = e4,
inference('REWRITE',[status(thm)],[16637,19222]) ).
cnf(19225,plain,
op(e2,e4) = e3,
inference('REWRITE',[status(thm)],[224,19223,theory(equality)]) ).
cnf(19226,plain,
op(op(e4,e2),e3) = e2,
inference('REWRITE',[status(thm)],[90,19225,theory(equality)]) ).
cnf(19228,plain,
op(e1,e4) != e3,
inference('REWRITE',[status(thm)],[145,19225,theory(equality)]) ).
cnf(19229,plain,
op(e1,e4) = e2,
inference('REWRITE',[status(thm)],[18961,19228]) ).
cnf(19232,plain,
op(e4,e2) != e0,
inference('REWRITE',[status(thm)],[19218,19229,theory(equality)]) ).
cnf(19236,plain,
op(e4,e2) = e2,
inference('REWRITE',[status(thm)],[19221,19232]) ).
cnf(19237,plain,
$false,
inference('REWRITE',[status(thm)],[19226,209,19223,19236,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG192+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 20:44:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T20:44:02
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-08T20:44:02
% 51.55/51.78
% 51.55/51.78
% 51.55/51.78 #||
% 51.55/51.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.55/51.78 % SZS output start Refutation
% See solution above
% 51.62/51.84 ||#
% 51.62/51.84
% 51.62/51.84 ; Summary of computation:
% 51.62/51.84 ; 101883 formulas have been input or derived (from 3897 formulas).
% 51.62/51.84 ; 19237 (19%) were retained. Of these,
% 51.62/51.84 ; 19194 (100%) were simplified or subsumed later,
% 51.62/51.84 ; 43 ( 0%) are still being kept.
% 51.62/51.84 ;
% 51.62/51.84 ; Run time in seconds excluding printing time:
% 51.62/51.84 ; 0.067 0% Read assertion file (1 call)
% 51.62/51.84 ; 0.036 0% Assert (126 calls)
% 51.62/51.84 ; 1.972 4% Process new row (100,296 calls)
% 51.62/51.84 ; 0.612 1% Resolution (7,792 calls)
% 51.62/51.84 ; 3.307 6% Paramodulation (3,896 calls)
% 51.62/51.84 ; 0.007 0% Factoring (1,059 calls)
% 51.62/51.84 ; 0.100 0% Condensing (48,695 calls)
% 51.62/51.84 ; 26.307 51% Forward subsumption (48,695 calls)
% 51.62/51.84 ; 4.924 10% Backward subsumption (18,966 calls)
% 51.62/51.84 ; 5.552 11% Clause clause subsumption (1,023,849 calls)
% 51.62/51.84 ; 4.394 9% Forward simplification (95,927 calls)
% 51.62/51.84 ; 0.886 2% Backward simplification (19,237 calls)
% 51.62/51.84 ; 2.757 5% Ordering (2,037,367 calls)
% 51.62/51.84 ; 0.000 0% Sortal reasoning (32 calls)
% 51.62/51.84 ; 0.001 0% Purity testing (1 call)
% 51.62/51.84 ; 0.403 1% Other
% 51.62/51.84 ; 51.325 Total
% 51.62/51.84 ; 51.383 Real time
% 51.62/51.84 ;
% 51.62/51.84 ; Term-hash-array has 861 terms in all.
% 51.62/51.84 ; Feature-vector-row-index has 0 entries (9,842 at peak, 18,966 added, 18,966 deleted).
% 51.62/51.84 ; Feature-vector-row-index has 1 node (75,659 at peak, 144,697 added, 144,696 deleted).
% 51.62/51.84 ; Retrieved 1,063,602 possibly forward subsuming rows in 48,695 calls.
% 51.62/51.84 ; Retrieved 445,849 possibly backward subsumed rows in 18,966 calls.
% 51.62/51.84 ; Path-index has 75 entries (819 at peak, 1,122 added, 1,047 deleted).
% 51.62/51.84 ; Path-index has 64 nodes (116 at peak, 116 added, 52 deleted).
% 51.62/51.84 ; Trie-index has 75 entries (819 at peak, 1,122 added, 1,047 deleted).
% 51.62/51.84 ; Trie-index has 135 nodes (1,653 at peak, 2,169 added, 2,034 deleted).
% 51.62/51.84 ; Retrieved 57,748 generalization terms in 1,018,590 calls.
% 51.62/51.84 ; Retrieved 270 instance terms in 270 calls.
% 51.62/51.84 ; Retrieved 14,386 unifiable terms in 28,234 calls.
% 51.62/51.84 ;
% 51.62/51.84 ; The agenda of backward simplifiable rows to process has 1485 entries:
% 51.62/51.84 ; 1485 with value 0
% 51.62/51.84 ; The agenda of rows to process has 8 entries:
% 51.62/51.84 ; 1 with value 24 6 with value 30 1 with value 36
% 51.62/51.84 ; The agenda of input rows to give has 10 entries:
% 51.62/51.84 ; 8 with value 7 2 with value 10
% 51.62/51.84 ; The agenda of rows to give has 15 entries:
% 51.62/51.84 ; 1 with value (4 8) 2 with value (4 11) 1 with value (4 20)
% 51.62/51.84 ; 5 with value (4 9) 2 with value (4 12) 1 with value (4 29)
% 51.62/51.84 ; 1 with value (4 10) 1 with value (4 16) 1 with value (4 32)
% 51.62/51.84 Evaluation took:
% 51.62/51.84 51.384 seconds of real time
% 51.62/51.84 46.84772 seconds of user run time
% 51.62/51.84 4.538358 seconds of system run time
% 51.62/51.84 [Run times include 4.692 seconds GC run time.]
% 51.62/51.84 0 calls to %EVAL
% 51.62/51.84 0 page faults and
% 51.62/51.84 5,234,869,176 bytes consed.
% 51.62/51.84 :PROOF-FOUND
% 51.62/51.84 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T20:44:53
% 51.62/51.84 :PROOF-FOUND
% 51.62/51.84 *
%------------------------------------------------------------------------------