TSTP Solution File: ALG193+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG193+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 18:00:08 EDT 2022
% Result : Unsatisfiable 203.42s 203.65s
% Output : Refutation 203.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 152
% Syntax : Number of clauses : 566 ( 171 unt; 380 nHn; 566 RR)
% Number of literals : 1634 (1633 equ; 204 neg)
% Maximal clause size : 6 ( 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(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(8,axiom,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(9,axiom,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = 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(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(21,axiom,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(24,axiom,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(26,axiom,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(33,axiom,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(35,axiom,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
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(45,axiom,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(47,axiom,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(48,axiom,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(50,axiom,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(53,axiom,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(55,axiom,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = 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(60,axiom,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 ),
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(68,axiom,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = 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(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(93,axiom,
op(op(e2,e3),op(e3,e2)) = 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(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(105,axiom,
op(e1,e0) != op(e2,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(110,axiom,
op(e3,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(114,axiom,
op(e0,e1) != op(e4,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(115,axiom,
op(e1,e1) != op(e2,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(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(126,axiom,
op(e1,e2) != op(e3,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(131,axiom,
op(e0,e3) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(134,axiom,
op(e0,e3) != op(e4,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(135,axiom,
op(e1,e3) != op(e2,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(137,axiom,
op(e1,e3) != op(e4,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(142,axiom,
op(e0,e4) != op(e2,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(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(162,axiom,
op(e1,e0) != op(e1,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(163,axiom,
op(e1,e0) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(165,axiom,
op(e1,e1) != 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(169,axiom,
op(e1,e2) != op(e1,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(170,axiom,
op(e1,e3) != op(e1,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(171,axiom,
op(e2,e0) != op(e2,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(173,axiom,
op(e2,e0) != op(e2,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(175,axiom,
op(e2,e1) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(180,axiom,
op(e2,e3) != 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(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(193,axiom,
op(e4,e0) != op(e4,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(194,axiom,
op(e4,e0) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(195,axiom,
op(e4,e1) != op(e4,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(196,axiom,
op(e4,e1) != op(e4,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(197,axiom,
op(e4,e1) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(199,axiom,
op(e4,e2) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(200,axiom,
op(e4,e3) != op(e4,e4),
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(op(e0,e1),e1) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(213,axiom,
op(op(e0,e2),e2) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(214,axiom,
op(op(e0,e3),e3) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(215,axiom,
op(op(e0,e4),e4) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(216,axiom,
op(op(e1,e0),e0) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(217,axiom,
op(op(e1,e1),e1) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(218,axiom,
op(op(e1,e2),e2) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(219,axiom,
op(op(e1,e3),e3) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(220,axiom,
op(op(e1,e4),e4) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(221,axiom,
op(op(e2,e0),e0) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(222,axiom,
op(op(e2,e1),e1) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(223,axiom,
op(op(e2,e2),e2) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(224,axiom,
op(op(e2,e3),e3) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(225,axiom,
op(op(e2,e4),e4) = e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(226,axiom,
op(op(e3,e0),e0) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(227,axiom,
op(op(e3,e1),e1) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(228,axiom,
op(op(e3,e2),e2) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(229,axiom,
op(op(e3,e3),e3) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(230,axiom,
op(op(e3,e4),e4) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(231,axiom,
op(op(e4,e0),e0) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(232,axiom,
op(op(e4,e1),e1) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(233,axiom,
op(op(e4,e2),e2) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(234,axiom,
op(op(e4,e3),e3) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(235,axiom,
op(op(e4,e4),e4) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(246,axiom,
( op(e1,e2) != e0
| e4 != op(e2,op(e1,e2))
| e3 != op(op(e1,e2),op(e2,op(e1,e2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(252,axiom,
( op(e1,e3) != e0
| e4 != op(e3,op(e1,e3))
| e2 != op(op(e1,e3),op(e3,op(e1,e3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
cnf(253,axiom,
( op(e2,e3) != e0
| e4 != op(e3,op(e2,e3))
| e1 != op(op(e2,e3),op(e3,op(e2,e3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
cnf(277,axiom,
( op(e2,e3) != e1
| e4 != op(e3,op(e2,e3))
| e0 != op(op(e2,e3),op(e3,op(e2,e3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
cnf(309,axiom,
( op(e4,e0) != e3
| e1 != op(e0,op(e4,e0))
| e2 != op(op(e4,e0),op(e0,op(e4,e0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
cnf(320,axiom,
( op(e1,e2) != e3
| e0 != op(e2,op(e1,e2))
| e4 != op(op(e1,e2),op(e2,op(e1,e2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
cnf(333,axiom,
( op(e3,e0) != e4
| e1 != op(e0,op(e3,e0))
| e2 != op(op(e3,e0),op(e0,op(e3,e0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
cnf(334,axiom,
( op(e1,e0) != e4
| e2 != op(e0,op(e1,e0))
| e3 != op(op(e1,e0),op(e0,op(e1,e0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
cnf(351,axiom,
( op(e2,e3) != e4
| e0 != op(e3,op(e2,e3))
| e1 != op(op(e2,e3),op(e3,op(e2,e3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
cnf(429,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e4,e1) = e1 ),
inference('PARAMODULATE',[status(thm)],[217,7,theory(equality)]) ).
cnf(438,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(476,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e4,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[221,11,theory(equality)]) ).
cnf(502,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e2) = e2 ),
inference('PARAMODULATE',[status(thm)],[223,13,theory(equality)]) ).
cnf(511,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(575,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,19,theory(equality)]) ).
cnf(584,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(604,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,21,theory(equality)]),204,215,theory(equality)]) ).
cnf(631,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[99,24,theory(equality)]),210,230,theory(equality)]) ).
cnf(645,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[80,26,theory(equality)]),204,231,theory(equality)]) ).
cnf(704,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[231,33,theory(equality)]) ).
cnf(730,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,35,theory(equality)]),204,215,theory(equality)]) ).
cnf(740,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e0,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[232,37,theory(equality)]) ).
cnf(754,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,38,theory(equality)]),207,232,theory(equality)]) ).
cnf(755,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e1,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[232,39,theory(equality)]) ).
cnf(821,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,45,theory(equality)]),207,220,theory(equality)]) ).
cnf(831,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e0,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[233,47,theory(equality)]) ).
cnf(865,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[90,50,theory(equality)]),209,233,theory(equality)]) ).
cnf(912,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[98,55,theory(equality)]),209,225,theory(equality)]) ).
cnf(913,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e0,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[230,56,theory(equality)]) ).
cnf(918,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e0,op(e4,e3)) = e4 ),
inference('PARAMODULATE',[status(thm)],[99,56,theory(equality)]) ).
cnf(922,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e0,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,57,theory(equality)]) ).
cnf(989,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[230,64,theory(equality)]) ).
cnf(1003,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[99,65,theory(equality)]),210,230,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(1016,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e1,e4) = e4 ),
inference('PARAMODULATE',[status(thm)],[235,68,theory(equality)]) ).
cnf(1021,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e1,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,68,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(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e3,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[231,604,theory(equality)]) ).
cnf(1102,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e3,op(e0,e4)) = e0 ),
inference('PARAMODULATE',[status(thm)],[80,604,theory(equality)]) ).
cnf(1131,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e3,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,631,theory(equality)]) ).
cnf(1148,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,645,theory(equality)]),203,226,theory(equality)]) ).
cnf(1156,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[78,1148,theory(equality)]),202,221,theory(equality)]) ).
cnf(1165,plain,
op(e0,e0) = e0,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[77,1156,theory(equality)]),201,216,theory(equality)]) ).
cnf(1171,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference('REWRITE',[status(thm)],[33,203,1165,theory(equality)]) ).
cnf(1200,plain,
op(e2,e0) != e0,
inference('REWRITE',[status(thm)],[102,1165,theory(equality)]) ).
cnf(1201,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[11,1200]) ).
cnf(1203,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e4,e0) = e2 ),
inference('REWRITE',[status(thm)],[476,1200]) ).
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(e0,e4) = e3 ),
inference('REWRITE',[status(thm)],[913,1227]) ).
cnf(1247,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e0,op(e4,e3)) = e4 ),
inference('REWRITE',[status(thm)],[918,1227]) ).
cnf(1254,plain,
op(e4,e0) != e0,
inference('REWRITE',[status(thm)],[104,1165,theory(equality)]) ).
cnf(1256,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3 ),
inference('REWRITE',[status(thm)],[604,1254]) ).
cnf(1269,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[1092,1254]) ).
cnf(1278,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e3,op(e0,e4)) = e0 ),
inference('REWRITE',[status(thm)],[1102,1254]) ).
cnf(1281,plain,
op(e0,e1) != e0,
inference('REWRITE',[status(thm)],[151,1165,theory(equality)]) ).
cnf(1296,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e0,e1) = e4 ),
inference('REWRITE',[status(thm)],[740,1281]) ).
cnf(1307,plain,
op(e0,e2) != e0,
inference('REWRITE',[status(thm)],[152,1165,theory(equality)]) ).
cnf(1322,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[831,1307]) ).
cnf(1333,plain,
op(e0,e3) != e0,
inference('REWRITE',[status(thm)],[153,1165,theory(equality)]) ).
cnf(1335,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference('REWRITE',[status(thm)],[57,1333]) ).
cnf(1348,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[922,1333]) ).
cnf(1359,plain,
op(e0,e4) != e0,
inference('REWRITE',[status(thm)],[154,1165,theory(equality)]) ).
cnf(1432,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[704,203,1165,theory(equality)]) ).
cnf(1453,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[730,204,1165,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)],[1015,204,1359,1165,theory(equality)]) ).
cnf(1456,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[226,1453,theory(equality)]) ).
cnf(1459,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e2) != e4 ),
inference('PARAMODULATE',[status(thm)],[182,1453,theory(equality)]) ).
cnf(1462,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(op(e0,e3),e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[91,1453,theory(equality)]) ).
cnf(1463,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,op(e0,e3)) = e0 ),
inference('PARAMODULATE',[status(thm)],[79,1453,theory(equality)]) ).
cnf(1466,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e0,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,1454,theory(equality)]) ).
cnf(1478,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e0,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[230,1455,theory(equality)]) ).
cnf(1490,plain,
( op(e4,e0) = e1
| op(e3,e0) = e4
| op(e2,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[231,1269,theory(equality)]) ).
cnf(1492,plain,
( op(e4,e0) = e1
| op(e3,e0) = e4
| op(e4,e3) != e2 ),
inference('PARAMODULATE',[status(thm)],[193,1269,theory(equality)]) ).
cnf(1509,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[194,1456,theory(equality)]) ).
cnf(1514,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e2,e0) != e3 ),
inference('PARAMODULATE',[status(thm)],[109,1456,theory(equality)]) ).
cnf(1517,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,op(e0,e4)) = e0 ),
inference('PARAMODULATE',[status(thm)],[80,1456,theory(equality)]) ).
cnf(1524,plain,
( op(e4,e1) = e0
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[233,1466,theory(equality)]) ).
cnf(1530,plain,
( op(e4,e1) = e0
| op(e0,e3) = e4
| op(op(e2,e4),e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[98,1466,theory(equality)]) ).
cnf(1537,plain,
( op(e1,e4) = e0
| op(e0,e4) = e3
| op(e0,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[225,1478,theory(equality)]) ).
cnf(1538,plain,
( op(e1,e4) = e0
| op(e0,e4) = e3
| op(e2,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[180,1478,theory(equality)]) ).
cnf(1551,plain,
( op(e3,e0) = e4
| op(e2,e0) = e4
| op(e4,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[193,1490,theory(equality)]) ).
cnf(1555,plain,
( op(e3,e0) = e4
| op(e2,e0) = e4
| op(e2,e0) != e1 ),
inference('PARAMODULATE',[status(thm)],[109,1490,theory(equality)]) ).
cnf(1572,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4 ),
inference('PARAMODULATE',[status(thm)],[232,1524,theory(equality)]) ).
cnf(1579,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(op(e1,e4),e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[97,1524,theory(equality)]) ).
cnf(1580,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,op(e1,e4)) = e1 ),
inference('PARAMODULATE',[status(thm)],[85,1524,theory(equality)]) ).
cnf(1587,plain,
( op(e0,e4) = e3
| op(e0,e4) = e2
| op(e1,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[170,1537,theory(equality)]) ).
cnf(1588,plain,
( op(e0,e4) = e3
| op(e0,e4) = e2
| op(e1,e2) != e0 ),
inference('PARAMODULATE',[status(thm)],[169,1537,theory(equality)]) ).
cnf(1634,plain,
( op(e0,e2) = e4
| op(e0,e1) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[1462,1572,theory(equality)]) ).
cnf(1707,plain,
( op(e1,e4) = e0
| op(e0,e4) = e3
| op(e4,e1) = e0
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1530,1478,theory(equality)]),204,1165,theory(equality)]) ).
cnf(1734,plain,
( op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1579,1537,theory(equality)]),204,1165,theory(equality)]) ).
cnf(1759,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[84,754,theory(equality)]),206,227,theory(equality)]) ).
cnf(1767,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[83,1759,theory(equality)]),205,222,theory(equality)]) ).
cnf(1775,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e4,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[227,821,theory(equality)]) ).
cnf(1792,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[89,865,theory(equality)]),208,228,theory(equality)]) ).
cnf(1807,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[1459,912]) ).
cnf(1815,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e3) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,1003,theory(equality)]) ).
cnf(1821,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[94,1003,theory(equality)]) ).
cnf(1870,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e3,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1171,1203,theory(equality)]),208]) ).
cnf(1926,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,op(e4,e0)) = e4 ),
inference('PARAMODULATE',[status(thm)],[96,1242,theory(equality)]) ).
cnf(1927,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(op(e4,e0),e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[80,1242,theory(equality)]) ).
cnf(1928,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[1278,1242,theory(equality)]) ).
cnf(1929,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[1517,1242,theory(equality)]) ).
cnf(1957,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e4
| op(e0,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[227,1296,theory(equality)]) ).
cnf(1990,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e4
| op(e0,e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[228,1322,theory(equality)]) ).
cnf(1998,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[912,1322,theory(equality)]),204]) ).
cnf(2028,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[94,1348,theory(equality)]),203,1165,theory(equality)]) ).
cnf(2029,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[224,2028,theory(equality)]) ).
cnf(2036,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(op(e3,e2),e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[89,2028,theory(equality)]) ).
cnf(2037,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e1,e4) = e0
| op(e0,e4) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[1538,2028]) ).
cnf(2038,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e3,e0) != e4
| e1 != op(e0,op(e3,e0)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[253,2028,theory(equality)]),theory(equality)]) ).
cnf(2040,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[219,2029,theory(equality)]) ).
cnf(2049,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e0,e4) = e3
| op(e0,e4) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[1587,2029]) ).
cnf(2050,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e3,e0) != e4
| e2 != op(e0,op(e3,e0)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[252,2029,theory(equality)]),theory(equality)]) ).
cnf(2052,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e4,e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[214,2040,theory(equality)]) ).
cnf(2054,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e2) != e4 ),
inference('PARAMODULATE',[status(thm)],[158,2040,theory(equality)]) ).
cnf(2064,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[1463,2040,theory(equality)]) ).
cnf(2068,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e4,e4) != e0 ),
inference('PARAMODULATE',[status(thm)],[200,2052,theory(equality)]) ).
cnf(2184,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e1,e0) != e4 ),
inference('PARAMODULATE',[status(thm)],[106,1432,theory(equality)]) ).
cnf(2268,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e3,e3) = e4
| op(e2,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,1131,theory(equality)]) ).
cnf(2320,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e0,e1) != e3 ),
inference('PARAMODULATE',[status(thm)],[114,1775,theory(equality)]) ).
cnf(2358,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[200,1815,theory(equality)]) ).
cnf(2414,plain,
( op(e1,e1) = e0
| op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference('PARAMODULATE',[status(thm)],[222,1957,theory(equality)]) ).
cnf(2433,plain,
( op(e1,e2) = e0
| op(e0,e2) = e4
| op(e0,e2) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[88,1990,theory(equality)]),202,1165,theory(equality)]) ).
cnf(2434,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[218,2433,theory(equality)]) ).
cnf(2436,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e1,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[168,2433,theory(equality)]) ).
cnf(2444,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e4) = e3
| op(e0,e4) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[1588,2433]) ).
cnf(2445,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e2,e0) != e4
| e3 != op(e0,op(e2,e0)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[246,2433,theory(equality)]),theory(equality)]) ).
cnf(2447,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e4,e2) = e0 ),
inference('PARAMODULATE',[status(thm)],[213,2434,theory(equality)]) ).
cnf(2452,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e3,e2) != e4 ),
inference('PARAMODULATE',[status(thm)],[123,2434,theory(equality)]) ).
cnf(2457,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[2054,2434]) ).
cnf(2474,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[53,2447,theory(equality)]),203]) ).
cnf(2626,plain,
( op(e4,e3) = e0
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,2268,theory(equality)]) ).
cnf(2655,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[2358,1821]) ).
cnf(2656,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e4,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[224,2655,theory(equality)]) ).
cnf(2664,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(op(e3,e2),e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[89,2655,theory(equality)]) ).
cnf(2665,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e1,e3) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2028,2655,theory(equality)]),204]) ).
cnf(2668,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e4) != e0
| e1 != op(e4,op(e3,e4)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[351,2655,theory(equality)]),theory(equality)]) ).
cnf(2669,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e4,e4) != e2 ),
inference('PARAMODULATE',[status(thm)],[200,2656,theory(equality)]) ).
cnf(2676,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) != e2 ),
inference('PARAMODULATE',[status(thm)],[134,2656,theory(equality)]) ).
cnf(2677,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(op(e3,e4),e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[99,2656,theory(equality)]) ).
cnf(2679,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e4,e0) = e1
| op(e3,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[1492,2656]) ).
cnf(2697,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e4,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[219,2665,theory(equality)]) ).
cnf(2722,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e1,op(e3,e4)) = e3 ),
inference('PARAMODULATE',[status(thm)],[95,2697,theory(equality)]) ).
cnf(2723,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e3,e0) = e4
| op(e2,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[1551,2697]) ).
cnf(2771,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[82,2414,theory(equality)]),201,1165,theory(equality)]) ).
cnf(2772,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e4,e1) = e0 ),
inference('PARAMODULATE',[status(thm)],[212,2771,theory(equality)]) ).
cnf(2775,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e2) != e4 ),
inference('PARAMODULATE',[status(thm)],[155,2771,theory(equality)]) ).
cnf(2787,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e4,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[196,2772,theory(equality)]) ).
cnf(2913,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1247,1335,theory(equality)]),204,1165,theory(equality)]) ).
cnf(3036,plain,
( op(e0,e4) = e3
| op(e4,e1) = e0
| op(e0,e3) = e4
| op(e0,op(e4,e1)) = e4 ),
inference('PARAMODULATE',[status(thm)],[97,1707,theory(equality)]) ).
cnf(3050,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) = e3
| op(e0,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[220,2037,theory(equality)]) ).
cnf(3058,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) = e3
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1580,2037,theory(equality)]),201,1165,theory(equality)]) ).
cnf(3163,plain,
( op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e1,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[137,2626,theory(equality)]) ).
cnf(3238,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[215,1734,theory(equality)]) ).
cnf(3317,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e0,e4) = e2
| op(e3,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[215,2049,theory(equality)]) ).
cnf(3513,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) = e1
| op(e3,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[215,3050,theory(equality)]) ).
cnf(3536,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[215,3058,theory(equality)]) ).
cnf(3607,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e3,e3) = e4
| op(e2,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3163,2029,theory(equality)]),204,theory(equality)]) ).
cnf(3639,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2038,1453,theory(equality)]),theory(equality)]) ).
cnf(3708,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e2,e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[214,2457,theory(equality)]) ).
cnf(3854,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e1,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[2677,3238,theory(equality)]) ).
cnf(4045,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) = e1
| op(e3,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[187,3513,theory(equality)]) ).
cnf(4061,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e1,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[2722,3536,theory(equality)]) ).
cnf(4125,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e2,e3) = e4
| op(e4,e3) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,3607,theory(equality)]) ).
cnf(4132,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e2,e3) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[94,3607,theory(equality)]) ).
cnf(4356,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[135,3708,theory(equality)]) ).
cnf(4492,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e1,e3) = e4
| op(e2,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[215,3854,theory(equality)]) ).
cnf(4641,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e2,e3) = e4
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[200,4125,theory(equality)]) ).
cnf(4674,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)],[197,429,theory(equality)]) ).
cnf(4853,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)],[199,502,theory(equality)]) ).
cnf(5015,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)],[200,575,theory(equality)]) ).
cnf(5088,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e4
| op(e1,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[227,755,theory(equality)]) ).
cnf(5638,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[100,989,theory(equality)]) ).
cnf(5639,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e4,e3) = e3 ),
inference('PARAMODULATE',[status(thm)],[229,5638,theory(equality)]) ).
cnf(5645,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e4,e4) = e3 ),
inference('PARAMODULATE',[status(thm)],[94,5638,theory(equality)]) ).
cnf(5659,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e4,e4) != e3 ),
inference('PARAMODULATE',[status(thm)],[200,5639,theory(equality)]) ).
cnf(5712,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[5659,5645]) ).
cnf(5713,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e4,e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[228,5712,theory(equality)]) ).
cnf(5722,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[2452,5712]) ).
cnf(5723,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e4,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[2664,5712,theory(equality)]) ).
cnf(5848,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e1,e4) = e4
| op(e1,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,1016,theory(equality)]) ).
cnf(5879,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e1,e1) = e4
| op(e1,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,1021,theory(equality)]) ).
cnf(6174,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e3,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[234,1057,theory(equality)]) ).
cnf(6175,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e3,e3) = e4
| op(e3,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[233,6174,theory(equality)]) ).
cnf(6214,plain,
( op(e4,e0) = e3
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1524,6175,theory(equality)]),203]) ).
cnf(6690,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e1,e0) = e3
| op(e0,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[2436,4061]) ).
cnf(6973,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e1,e3) = e4
| op(e0,op(e4,e2)) = e4 ),
inference('PARAMODULATE',[status(thm)],[98,4492,theory(equality)]) ).
cnf(7036,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e2,e3) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[4641,4132]) ).
cnf(7037,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e4,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[224,7036,theory(equality)]) ).
cnf(7044,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e1,e3) != e4 ),
inference('PARAMODULATE',[status(thm)],[135,7036,theory(equality)]) ).
cnf(7067,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(op(e3,e4),e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[99,7037,theory(equality)]) ).
cnf(7068,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e2,op(e3,e4)) = e3 ),
inference('PARAMODULATE',[status(thm)],[95,7037,theory(equality)]) ).
cnf(7100,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e0,e4) = e2
| op(e0,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[7067,3317,theory(equality)]) ).
cnf(7112,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e0,e4) = e2
| op(e2,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[7068,3317,theory(equality)]) ).
cnf(7251,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e1,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[91,1870,theory(equality)]),203,214,theory(equality)]) ).
cnf(7263,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1514,7251,theory(equality)]),210,theory(equality)]) ).
cnf(7299,plain,
( op(e2,e0) = e1
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[86,7263,theory(equality)]),202,213,theory(equality)]) ).
cnf(7300,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e1,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[221,7299,theory(equality)]) ).
cnf(7308,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(op(e0,e2),e1) = e2 ),
inference('PARAMODULATE',[status(thm)],[86,7299,theory(equality)]) ).
cnf(7309,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e1,op(e0,e2)) = e0 ),
inference('PARAMODULATE',[status(thm)],[78,7299,theory(equality)]) ).
cnf(7310,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1555,7299,theory(equality)]),207,theory(equality)]) ).
cnf(7319,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e2) != e4 ),
inference('PARAMODULATE',[status(thm)],[162,7300,theory(equality)]) ).
cnf(7340,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e4,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[226,7310,theory(equality)]) ).
cnf(7346,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e2,e0) != e4 ),
inference('PARAMODULATE',[status(thm)],[108,7310,theory(equality)]) ).
cnf(7356,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e0,e4) != e1
| e2 != op(e4,op(e0,e4)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[333,7310,theory(equality)]),theory(equality)]) ).
cnf(7415,plain,
( op(e1,e0) = e3
| op(e1,e0) = e4
| op(e0,e3) != e1
| e2 != op(e3,op(e0,e3)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[309,7340,theory(equality)]),theory(equality)]) ).
cnf(8020,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e4,e2) = e2 ),
inference('PARAMODULATE',[status(thm)],[223,1998,theory(equality)]) ).
cnf(8027,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e4,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[88,1998,theory(equality)]) ).
cnf(8142,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[94,2913,theory(equality)]),203,1165,theory(equality)]) ).
cnf(8143,plain,
( op(e1,e3) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e0,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[224,8142,theory(equality)]) ).
cnf(8148,plain,
( op(e1,e3) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[138,8142,theory(equality)]) ).
cnf(8156,plain,
( op(e1,e3) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(op(e3,e2),e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[89,8142,theory(equality)]) ).
cnf(8186,plain,
( op(e1,e3) = e0
| op(e3,e1) = e0
| op(e0,e3) = e2
| op(e0,e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[228,8143,theory(equality)]) ).
cnf(8228,plain,
( op(e3,e1) = e0
| op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[2436,8186]) ).
cnf(8270,plain,
( op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4
| op(e0,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[227,8228,theory(equality)]) ).
cnf(8332,plain,
( op(e0,e2) = e3
| op(e0,e2) = e4
| op(e0,e1) = e3
| op(e0,e4) != e2 ),
inference('PARAMODULATE',[status(thm)],[160,8270,theory(equality)]) ).
cnf(8526,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[4674,438]) ).
cnf(8527,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e1) = e1 ),
inference('PARAMODULATE',[status(thm)],[217,8526,theory(equality)]) ).
cnf(8536,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[82,8526,theory(equality)]) ).
cnf(8544,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[186,8527,theory(equality)]) ).
cnf(8583,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[8544,8536]) ).
cnf(8584,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference('PARAMODULATE',[status(thm)],[217,8583,theory(equality)]) ).
cnf(8593,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[82,8583,theory(equality)]) ).
cnf(8597,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e2,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[175,8584,theory(equality)]) ).
cnf(8620,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[8597,8593]) ).
cnf(8677,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[4853,511]) ).
cnf(8678,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference('PARAMODULATE',[status(thm)],[223,8677,theory(equality)]) ).
cnf(8687,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[88,8677,theory(equality)]) ).
cnf(8701,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e3,e3) != e2 ),
inference('PARAMODULATE',[status(thm)],[188,8678,theory(equality)]) ).
cnf(8748,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[8701,8687]) ).
cnf(8809,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[5015,584]) ).
cnf(9107,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2 ),
inference('PARAMODULATE',[status(thm)],[222,5088,theory(equality)]) ).
cnf(9389,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e1,e4) = e4
| op(e1,e3) = e4
| op(e3,e0) = e4
| op(e3,e1) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5713,5848,theory(equality)]),206]) ).
cnf(9791,plain,
( op(e0,e2) = e4
| op(e1,e0) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8270,6690,theory(equality)]),209]) ).
cnf(10385,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8748,1807,theory(equality)]),209,207,204]) ).
cnf(10394,plain,
( op(e0,e2) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e0,e2) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2433,10385,theory(equality)]),204]) ).
cnf(10448,plain,
( op(e0,e2) = e4
| op(e1,e0) = e4
| op(e0,e2) = e3
| op(e0,e4) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2445,10394,theory(equality)]),theory(equality)]) ).
cnf(10530,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e4) = e2
| op(e1,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[10448,2444]) ).
cnf(10534,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e4,e0) = e1
| op(e3,e2) = e4 ),
inference('PARAMODULATE',[status(thm)],[1926,1928,theory(equality)]) ).
cnf(10909,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e4,e4) != e2 ),
inference('PARAMODULATE',[status(thm)],[199,8020,theory(equality)]) ).
cnf(11185,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e3
| op(e1,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8620,9107,theory(equality)]),207,204]) ).
cnf(11671,plain,
( op(e1,e0) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[2775,9791]) ).
cnf(11854,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e1,e0) = e4
| op(e0,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[8332,10530]) ).
cnf(11892,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8620,11185,theory(equality)]),206,203]) ).
cnf(11903,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8620,11892,theory(equality)]),205,202]) ).
cnf(11905,plain,
( op(e0,e1) = e1
| op(e1,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[166,11903,theory(equality)]) ).
cnf(11906,plain,
( op(e0,e1) = e1
| op(e1,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[165,11903,theory(equality)]) ).
cnf(11908,plain,
( op(e0,e1) = e1
| op(e4,e1) != e1 ),
inference('PARAMODULATE',[status(thm)],[117,11903,theory(equality)]) ).
cnf(11910,plain,
( op(e0,e1) = e1
| op(e2,e1) != e1 ),
inference('PARAMODULATE',[status(thm)],[115,11903,theory(equality)]) ).
cnf(12643,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[94,1929,theory(equality)]),203,1165,theory(equality)]) ).
cnf(12644,plain,
( op(e3,e1) = e0
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e0,e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[228,12643,theory(equality)]) ).
cnf(12671,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[227,12644,theory(equality)]) ).
cnf(12692,plain,
( op(e1,e0) = e4
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e1,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[7346,12671]) ).
cnf(12693,plain,
( op(e1,e0) = e4
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e4,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[221,12671,theory(equality)]) ).
cnf(12700,plain,
( op(e1,e0) = e4
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(op(e0,e2),e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[86,12671,theory(equality)]) ).
cnf(12715,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(e1,e0) = e3
| op(e1,e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[7309,12692,theory(equality)]) ).
cnf(12716,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(e1,e0) = e3
| op(e3,e1) = e2 ),
inference('PARAMODULATE',[status(thm)],[7308,12692,theory(equality)]) ).
cnf(12734,plain,
( op(e1,e0) = e4
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e4,e4) != e2 ),
inference('PARAMODULATE',[status(thm)],[194,12693,theory(equality)]) ).
cnf(12775,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(e1,e0) = e3
| op(e0,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[219,12715,theory(equality)]) ).
cnf(13321,plain,
( op(e3,e3) = e4
| op(e3,e2) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[231,6214,theory(equality)]) ).
cnf(13438,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(e1,e0) = e3
| op(e3,e1) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7415,12775,theory(equality)]),theory(equality)]) ).
cnf(13838,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e2) = e4
| op(e1,e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[1927,10534,theory(equality)]) ).
cnf(14040,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e4
| op(e1,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[10909,8027]) ).
cnf(14047,plain,
( op(e1,e2) = e0
| op(e0,e2) = e4
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[88,14040,theory(equality)]),202,1165,theory(equality)]) ).
cnf(14060,plain,
( op(e1,e2) = e0
| op(e0,e2) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[7319,14047]) ).
cnf(14180,plain,
( op(e0,e2) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e0,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[218,14060,theory(equality)]) ).
cnf(15369,plain,
( op(e1,e0) = e3
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e1,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14180,11671,theory(equality)]),206,210]) ).
cnf(15515,plain,
( op(e0,e2) = e3
| op(e1,e0) = e4
| op(e0,e1) = e3
| op(e4,e4) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12700,11854,theory(equality)]),210]) ).
cnf(15533,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(e1,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[13438,12716]) ).
cnf(15543,plain,
( op(e0,e1) = e3
| op(e1,e0) = e3
| op(e4,op(e0,e1)) = e0 ),
inference('PARAMODULATE',[status(thm)],[77,15533,theory(equality)]) ).
cnf(15830,plain,
( op(e0,e2) = e4
| op(e0,e1) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[1509,1634]) ).
cnf(15843,plain,
( op(e0,e2) = e4
| op(e0,e1) = e4
| op(e1,e0) = e4
| op(e1,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[7346,15830]) ).
cnf(15923,plain,
( op(e0,e1) = e4
| op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[7309,15843,theory(equality)]) ).
cnf(15924,plain,
( op(e0,e1) = e4
| op(e1,e0) = e4
| op(e1,e0) = e3
| op(e4,e1) = e2 ),
inference('PARAMODULATE',[status(thm)],[7308,15843,theory(equality)]) ).
cnf(15957,plain,
( op(e0,e1) = e4
| op(e1,e0) = e4
| op(e1,e0) = e3
| op(e0,e4) = e1 ),
inference('PARAMODULATE',[status(thm)],[220,15923,theory(equality)]) ).
cnf(16048,plain,
( op(e0,e1) = e4
| op(e1,e0) = e4
| op(e1,e0) = e3
| op(e4,e1) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7356,15957,theory(equality)]),theory(equality)]) ).
cnf(16119,plain,
( op(e0,e1) = e4
| op(e1,e0) = e4
| op(e1,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[16048,15924]) ).
cnf(16141,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e4,e4) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15543,16119,theory(equality)]),210]) ).
cnf(16256,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[100,16141,theory(equality)]),204,1165,theory(equality)]) ).
cnf(16269,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[2184,16256]) ).
cnf(16274,plain,
( op(e1,e0) = e3
| op(e0,e4) != e2
| e3 != op(e4,op(e0,e4)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[334,16256,theory(equality)]),theory(equality)]) ).
cnf(16374,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[91,16269,theory(equality)]),203,214,theory(equality)]) ).
cnf(16375,plain,
( op(e1,e0) = e3
| op(e3,e0) = e2 ),
inference('PARAMODULATE',[status(thm)],[221,16374,theory(equality)]) ).
cnf(16405,plain,
( op(e1,e0) = e3
| op(op(e0,e3),e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[91,16375,theory(equality)]) ).
cnf(16406,plain,
( op(e1,e0) = e3
| op(e2,op(e0,e3)) = e0 ),
inference('PARAMODULATE',[status(thm)],[79,16375,theory(equality)]) ).
cnf(16893,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[2068,2064]) ).
cnf(16896,plain,
( op(e0,e3) = e1
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e2,e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[214,16893,theory(equality)]) ).
cnf(16909,plain,
( op(e0,e3) = e1
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e1,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2676,16893,theory(equality)]),209,theory(equality)]) ).
cnf(16964,plain,
( op(e0,e3) = e1
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e1,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[135,16896,theory(equality)]) ).
cnf(16979,plain,
( op(e0,e3) = e1
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e0,e3) != e4 ),
inference('PARAMODULATE',[status(thm)],[131,16909,theory(equality)]) ).
cnf(19383,plain,
( op(e3,e2) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8809,13321,theory(equality)]),210,209,207,204]) ).
cnf(19384,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e0) = e4
| op(e4,e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[228,19383,theory(equality)]) ).
cnf(19424,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e0) = e4
| op(e1,e3) = e4 ),
inference('PARAMODULATE',[status(thm)],[6973,19384,theory(equality)]) ).
cnf(19449,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e3,e0) = e4
| op(e0,e3) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[7044,19424]) ).
cnf(19491,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e3) = e2
| op(e0,e4) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2050,19449,theory(equality)]),theory(equality)]) ).
cnf(20733,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e2) = e4
| op(e1,e3) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[8148,13838]) ).
cnf(20745,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e1,e3) = e0
| op(e4,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8156,20733,theory(equality)]),204]) ).
cnf(20803,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e1,e3) = e0
| op(e2,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[231,20745,theory(equality)]) ).
cnf(20880,plain,
( op(e3,e1) = e0
| op(e1,e3) = e0
| op(e2,e0) = e4
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2036,20803,theory(equality)]),202,1165,theory(equality)]) ).
cnf(20992,plain,
( op(e1,e3) = e0
| op(e2,e0) = e4
| op(e0,e3) = e4
| op(e0,e4) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[4045,20880]) ).
cnf(21236,plain,
( op(e1,e3) = e0
| op(e2,e0) = e4
| op(e0,e3) = e4
| op(e1,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[3639,20992]) ).
cnf(21687,plain,
( op(e2,e0) = e4
| op(e0,e3) = e4
| op(e1,e0) = e4
| op(e0,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[16964,21236]) ).
cnf(22571,plain,
( op(e0,e2) = e3
| op(e1,e0) = e4
| op(e0,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[12734,15515]) ).
cnf(22580,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(op(e2,e0),e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[78,22571,theory(equality)]) ).
cnf(22931,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e0,e2) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[19491,7100]) ).
cnf(23493,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[16979,21687]) ).
cnf(23494,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4
| op(e4,e1) = e0 ),
inference('PARAMODULATE',[status(thm)],[1463,23493,theory(equality)]) ).
cnf(23510,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22931,23493,theory(equality)]),205,207]) ).
cnf(23520,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4
| op(e4,e2) != e0 ),
inference('PARAMODULATE',[status(thm)],[195,23494,theory(equality)]) ).
cnf(23595,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4
| op(e4,e2) = e0 ),
inference('PARAMODULATE',[status(thm)],[213,23510,theory(equality)]) ).
cnf(23754,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[23520,23595]) ).
cnf(23766,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(e4,e3) = e0 ),
inference('PARAMODULATE',[status(thm)],[22580,23754,theory(equality)]) ).
cnf(23871,plain,
( op(e1,e0) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[2787,23766]) ).
cnf(24034,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15369,23871,theory(equality)]),209,210]) ).
cnf(24069,plain,
( op(e0,e1) = e2
| op(e1,e1) = e4
| op(e2,e1) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2320,24034,theory(equality)]),210,theory(equality)]) ).
cnf(24520,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e1,e2) = e3
| op(e2,e2) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[93,2474,theory(equality)]),208,224,theory(equality)]) ).
cnf(24529,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e1,e2) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8748,24520,theory(equality)]),208,206,203]) ).
cnf(24530,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e3,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[218,24529,theory(equality)]) ).
cnf(24541,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e2,e3) != e0
| e4 != op(e3,op(e2,e3)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[320,24529,theory(equality)]),theory(equality)]) ).
cnf(24573,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e3,e1) = e0
| op(e1,e3) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20733,24530,theory(equality)]),207,201]) ).
cnf(24705,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e3,e1) = e0
| op(e0,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[4356,24573]) ).
cnf(24855,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5722,24705,theory(equality)]),204]) ).
cnf(24933,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e3,e0) != e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24541,3708,theory(equality)]),theory(equality)]) ).
cnf(25016,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[24933,24855]) ).
cnf(25558,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e0,e3) = e4
| op(e1,e3) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[2669,5723]) ).
cnf(25559,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e4,e1) = e3 ),
inference('PARAMODULATE',[status(thm)],[227,25558,theory(equality)]) ).
cnf(25600,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e0,e4) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3036,25559,theory(equality)]),203]) ).
cnf(25659,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[215,25600,theory(equality)]) ).
cnf(25730,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e4,e0) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2668,25659,theory(equality)]),theory(equality)]) ).
cnf(25799,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e0) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[25730,2679]) ).
cnf(25800,plain,
( op(e0,e3) = e4
| op(e3,e0) = e4
| op(e0,e3) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[7044,25799]) ).
cnf(25801,plain,
( op(e0,e3) = e4
| op(e3,e0) = e4
| op(e4,e3) = e1 ),
inference('PARAMODULATE',[status(thm)],[219,25799,theory(equality)]) ).
cnf(25813,plain,
( op(e0,e3) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2723,25799,theory(equality)]),204]) ).
cnf(25848,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e0,e4) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2050,25800,theory(equality)]),theory(equality)]) ).
cnf(25900,plain,
( op(e0,e3) = e4
| op(e3,e0) = e4
| op(e0,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[134,25801,theory(equality)]) ).
cnf(26020,plain,
( op(e0,e3) = e4
| op(e2,e0) = e4
| op(e4,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[226,25813,theory(equality)]) ).
cnf(26146,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2
| op(e2,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[25848,7112]) ).
cnf(26150,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25900,25016,theory(equality)]),207,theory(equality)]) ).
cnf(26280,plain,
( op(e0,e3) = e4
| op(e2,e0) = e4
| op(e2,e0) != e3 ),
inference('PARAMODULATE',[status(thm)],[109,26020,theory(equality)]) ).
cnf(26341,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e4,e0) = e3 ),
inference('PARAMODULATE',[status(thm)],[226,26150,theory(equality)]) ).
cnf(26371,plain,
( op(e1,e0) = e3
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26280,16374,theory(equality)]),210,theory(equality)]) ).
cnf(26380,plain,
( op(e1,e0) = e3
| op(e2,e4) = e0 ),
inference('PARAMODULATE',[status(thm)],[16406,26371,theory(equality)]) ).
cnf(26381,plain,
( op(e1,e0) = e3
| op(e4,e2) = e3 ),
inference('PARAMODULATE',[status(thm)],[16405,26371,theory(equality)]) ).
cnf(26437,plain,
( op(e1,e0) = e3
| op(e0,e4) = e2 ),
inference('PARAMODULATE',[status(thm)],[225,26380,theory(equality)]) ).
cnf(26502,plain,
( op(e1,e0) = e3
| op(e4,e2) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16274,26437,theory(equality)]),theory(equality)]) ).
cnf(26580,plain,
op(e1,e0) = e3,
inference('HYPERRESOLVE',[status(thm)],[26502,26381]) ).
cnf(26584,plain,
op(e2,e0) != e3,
inference('REWRITE',[status(thm)],[105,26580,theory(equality)]) ).
cnf(26596,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[1201,26584]) ).
cnf(26980,plain,
( op(e0,e3) = e4
| op(e0,e3) = e2 ),
inference('REWRITE',[status(thm)],[26146,26584]) ).
cnf(27159,plain,
op(e4,e0) != e3,
inference('REWRITE',[status(thm)],[107,26580,theory(equality)]) ).
cnf(27171,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2 ),
inference('REWRITE',[status(thm)],[1256,27159]) ).
cnf(27592,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference('REWRITE',[status(thm)],[26341,27159]) ).
cnf(27895,plain,
op(e1,e2) != e3,
inference('REWRITE',[status(thm)],[162,26580,theory(equality)]) ).
cnf(27896,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[8,27895]) ).
cnf(28365,plain,
op(e1,e3) != e3,
inference('REWRITE',[status(thm)],[163,26580,theory(equality)]) ).
cnf(28366,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference('REWRITE',[status(thm)],[9,28365]) ).
cnf(29063,plain,
op(e3,e0) = e1,
inference('REWRITE',[status(thm)],[216,26580,theory(equality)]) ).
cnf(29064,plain,
( op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 ),
inference('REWRITE',[status(thm)],[60,205,29063,theory(equality)]) ).
cnf(29067,plain,
op(e2,e0) != e1,
inference('REWRITE',[status(thm)],[108,29063,theory(equality)]) ).
cnf(29068,plain,
( op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference('REWRITE',[status(thm)],[48,29067]) ).
cnf(29250,plain,
( op(e2,e0) = e2
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[26596,29067]) ).
cnf(29381,plain,
op(e4,e0) != e1,
inference('REWRITE',[status(thm)],[110,29063,theory(equality)]) ).
cnf(29416,plain,
( op(e4,e1) = e1
| op(e4,e2) = e1
| op(e1,e1) = e4
| op(e1,e3) = e4 ),
inference('REWRITE',[status(thm)],[5879,29381]) ).
cnf(29720,plain,
op(e4,e0) = e2,
inference('REWRITE',[status(thm)],[27171,29381]) ).
cnf(29724,plain,
op(e2,e0) != e2,
inference('REWRITE',[status(thm)],[109,29720,theory(equality)]) ).
cnf(29725,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2 ),
inference('REWRITE',[status(thm)],[1792,29724]) ).
cnf(29796,plain,
op(e2,e0) = e4,
inference('REWRITE',[status(thm)],[29250,29724]) ).
cnf(29799,plain,
op(e2,e1) != e4,
inference('REWRITE',[status(thm)],[171,29796,theory(equality)]) ).
cnf(30003,plain,
( op(e0,e1) = e2
| op(e1,e1) = e4 ),
inference('REWRITE',[status(thm)],[24069,29799]) ).
cnf(30636,plain,
op(e2,e3) != e4,
inference('REWRITE',[status(thm)],[173,29796,theory(equality)]) ).
cnf(30640,plain,
( op(e4,e3) = e0
| op(e3,e3) = e4
| op(e1,e3) = e4 ),
inference('REWRITE',[status(thm)],[2626,30636]) ).
cnf(31488,plain,
( op(e4,e1) = e1
| op(e1,e4) = e4
| op(e1,e3) = e4
| op(e3,e1) = e4 ),
inference('REWRITE',[status(thm)],[9389,207,205,29720,29063,theory(equality)]) ).
cnf(31877,plain,
op(e1,e1) = e1,
inference('REWRITE',[status(thm)],[1767,206,26580,theory(equality)]) ).
cnf(31878,plain,
op(e0,e1) != e1,
inference('REWRITE',[status(thm)],[111,31877,theory(equality)]) ).
cnf(32016,plain,
op(e1,e3) != e1,
inference('REWRITE',[status(thm)],[11905,31878]) ).
cnf(32072,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e4 ),
inference('REWRITE',[status(thm)],[28366,32016]) ).
cnf(32183,plain,
op(e1,e2) != e1,
inference('REWRITE',[status(thm)],[11906,31878]) ).
cnf(32184,plain,
( op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[27896,32183]) ).
cnf(32309,plain,
op(e4,e1) != e1,
inference('REWRITE',[status(thm)],[11908,31878]) ).
cnf(32417,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e3,e1) = e4 ),
inference('REWRITE',[status(thm)],[31488,32309]) ).
cnf(32425,plain,
op(e2,e1) != e1,
inference('REWRITE',[status(thm)],[11910,31878]) ).
cnf(32426,plain,
( op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference('REWRITE',[status(thm)],[29068,32425]) ).
cnf(32649,plain,
( op(e4,e2) = e1
| op(e1,e3) = e4 ),
inference('REWRITE',[status(thm)],[29416,207,32309,31877,theory(equality)]) ).
cnf(32723,plain,
op(e0,e1) = e2,
inference('REWRITE',[status(thm)],[30003,207,31877,theory(equality)]) ).
cnf(32724,plain,
op(e2,e1) != e2,
inference('REWRITE',[status(thm)],[112,32723,theory(equality)]) ).
cnf(32725,plain,
op(e2,e2) = e2,
inference('REWRITE',[status(thm)],[29725,32724]) ).
cnf(32730,plain,
op(e1,e2) != e2,
inference('REWRITE',[status(thm)],[125,32725,theory(equality)]) ).
cnf(32731,plain,
( op(e1,e2) = e0
| op(e1,e2) = e4 ),
inference('REWRITE',[status(thm)],[32184,32730]) ).
cnf(32866,plain,
op(e3,e2) != e2,
inference('REWRITE',[status(thm)],[128,32725,theory(equality)]) ).
cnf(32867,plain,
( op(e3,e1) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 ),
inference('REWRITE',[status(thm)],[29064,32866]) ).
cnf(33121,plain,
( op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference('REWRITE',[status(thm)],[32426,205,32725,theory(equality)]) ).
cnf(33180,plain,
op(e3,e1) != e2,
inference('REWRITE',[status(thm)],[113,32723,theory(equality)]) ).
cnf(33238,plain,
( op(e3,e3) = e2
| op(e3,e4) = e2 ),
inference('REWRITE',[status(thm)],[32867,33180]) ).
cnf(33310,plain,
op(e0,e3) != e2,
inference('REWRITE',[status(thm)],[156,32723,theory(equality)]) ).
cnf(33321,plain,
op(e0,e3) = e4,
inference('REWRITE',[status(thm)],[26980,33310]) ).
cnf(33322,plain,
op(e1,e3) != e4,
inference('REWRITE',[status(thm)],[131,33321,theory(equality)]) ).
cnf(33324,plain,
( op(e4,e3) = e0
| op(e3,e3) = e4 ),
inference('REWRITE',[status(thm)],[30640,33322]) ).
cnf(33340,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2 ),
inference('REWRITE',[status(thm)],[32072,33322]) ).
cnf(33345,plain,
( op(e1,e4) = e4
| op(e3,e1) = e4 ),
inference('REWRITE',[status(thm)],[32417,33322]) ).
cnf(33346,plain,
op(e4,e2) = e1,
inference('REWRITE',[status(thm)],[32649,33322]) ).
cnf(33349,plain,
op(e0,e2) != e1,
inference('REWRITE',[status(thm)],[124,33346,theory(equality)]) ).
cnf(33350,plain,
op(e0,e2) = e3,
inference('REWRITE',[status(thm)],[27592,33349]) ).
cnf(33390,plain,
op(e0,e4) != e3,
inference('REWRITE',[status(thm)],[159,33350,theory(equality)]) ).
cnf(33393,plain,
( op(e1,e4) = e0
| op(e0,e4) = e2 ),
inference('REWRITE',[status(thm)],[1537,33390]) ).
cnf(33474,plain,
op(e3,e2) = e0,
inference('REWRITE',[status(thm)],[213,33350,theory(equality)]) ).
cnf(33477,plain,
op(e1,e2) != e0,
inference('REWRITE',[status(thm)],[126,33474,theory(equality)]) ).
cnf(33490,plain,
op(e1,e2) = e4,
inference('REWRITE',[status(thm)],[32731,33477]) ).
cnf(33493,plain,
op(e1,e4) != e4,
inference('REWRITE',[status(thm)],[169,33490,theory(equality)]) ).
cnf(33498,plain,
op(e3,e1) = e4,
inference('REWRITE',[status(thm)],[33345,33493]) ).
cnf(33502,plain,
op(e3,e3) != e4,
inference('REWRITE',[status(thm)],[186,33498,theory(equality)]) ).
cnf(33503,plain,
op(e4,e3) = e0,
inference('REWRITE',[status(thm)],[33324,33502]) ).
cnf(33506,plain,
op(e1,e3) != e0,
inference('REWRITE',[status(thm)],[137,33503,theory(equality)]) ).
cnf(33509,plain,
op(e1,e3) = e2,
inference('REWRITE',[status(thm)],[33340,33506]) ).
cnf(33510,plain,
op(e3,e3) != e2,
inference('REWRITE',[status(thm)],[136,33509,theory(equality)]) ).
cnf(33512,plain,
op(e3,e4) = e2,
inference('REWRITE',[status(thm)],[33238,33510]) ).
cnf(33513,plain,
op(e0,e4) != e2,
inference('REWRITE',[status(thm)],[143,33512,theory(equality)]) ).
cnf(33518,plain,
op(e1,e4) = e0,
inference('REWRITE',[status(thm)],[33393,33513]) ).
cnf(33529,plain,
op(e0,e4) = e1,
inference('REWRITE',[status(thm)],[220,33518,theory(equality)]) ).
cnf(33530,plain,
op(e2,e4) != e1,
inference('REWRITE',[status(thm)],[142,33529,theory(equality)]) ).
cnf(33531,plain,
op(e2,e3) = e1,
inference('REWRITE',[status(thm)],[33121,33530]) ).
cnf(33532,plain,
$false,
inference('REWRITE',[status(thm)],[277,33518,33498,33531,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG193+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 07:19:27 EDT 2022
% 0.13/0.33 % 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 2022-06-09T07:19:27
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-09T07:19:27
% 203.42/203.65
% 203.42/203.65
% 203.42/203.65 #||
% 203.42/203.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 203.42/203.65 % SZS output start Refutation
% See solution above
% 203.59/203.79 ||#
% 203.59/203.79
% 203.59/203.79 ; Summary of computation:
% 203.59/203.79 ; 273130 formulas have been input or derived (from 6332 formulas).
% 203.59/203.79 ; 33532 (12%) were retained. Of these,
% 203.59/203.79 ; 33452 (100%) were simplified or subsumed later,
% 203.59/203.79 ; 80 ( 0%) are still being kept.
% 203.59/203.79 ;
% 203.59/203.79 ; Run time in seconds excluding printing time:
% 203.59/203.79 ; 0.067 0% Read assertion file (1 call)
% 203.59/203.79 ; 0.029 0% Assert (126 calls)
% 203.59/203.79 ; 4.094 2% Process new row (268,442 calls)
% 203.59/203.79 ; 1.391 1% Resolution (12,662 calls)
% 203.59/203.79 ; 9.473 5% Paramodulation (6,331 calls)
% 203.59/203.79 ; 0.030 0% Factoring (1,688 calls)
% 203.59/203.79 ; 0.211 0% Condensing (128,721 calls)
% 203.59/203.79 ; 121.823 60% Forward subsumption (128,721 calls)
% 203.59/203.79 ; 15.483 8% Backward subsumption (33,273 calls)
% 203.59/203.79 ; 27.426 13% Clause clause subsumption (5,054,328 calls)
% 203.59/203.79 ; 12.548 6% Forward simplification (259,997 calls)
% 203.59/203.79 ; 1.587 1% Backward simplification (33,532 calls)
% 203.59/203.79 ; 7.964 4% Ordering (6,085,535 calls)
% 203.59/203.79 ; 0.001 0% Sortal reasoning (32 calls)
% 203.59/203.79 ; 0.000 0% Purity testing (1 call)
% 203.59/203.79 ; 1.080 1% Other
% 203.59/203.79 ; 203.207 Total
% 203.59/203.79 ; 203.329 Real time
% 203.59/203.79 ;
% 203.59/203.79 ; Term-hash-array has 814 terms in all.
% 203.59/203.79 ; Feature-vector-row-index has 17 entries (16,492 at peak, 33,273 added, 33,256 deleted).
% 203.59/203.79 ; Feature-vector-row-index has 113 nodes (123,376 at peak, 244,379 added, 244,266 deleted).
% 203.59/203.79 ; Retrieved 6,687,087 possibly forward subsuming rows in 128,721 calls.
% 203.59/203.79 ; Retrieved 1,688,599 possibly backward subsumed rows in 33,273 calls.
% 203.59/203.79 ; Path-index has 137 entries (765 at peak, 986 added, 849 deleted).
% 203.59/203.79 ; Path-index has 90 nodes (116 at peak, 116 added, 26 deleted).
% 203.59/203.79 ; Trie-index has 137 entries (765 at peak, 986 added, 849 deleted).
% 203.59/203.79 ; Trie-index has 329 nodes (1,757 at peak, 2,116 added, 1,787 deleted).
% 203.59/203.79 ; Retrieved 155,868 generalization terms in 2,923,742 calls.
% 203.59/203.79 ; Retrieved 258 instance terms in 258 calls.
% 203.59/203.79 ; Retrieved 24,441 unifiable terms in 46,441 calls.
% 203.59/203.79 ;
% 203.59/203.79 ; The agenda of backward simplifiable rows to process has 4289 entries:
% 203.59/203.79 ; 4289 with value 0
% 203.59/203.79 ; The agenda of rows to process has 54 entries:
% 203.59/203.79 ; 1 with value 34 8 with value 51 2 with value 58
% 203.59/203.79 ; 1 with value 44 17 with value 55 21 with value 62
% 203.59/203.79 ; 4 with value 48
% 203.59/203.79 ; The agenda of input rows to give has 26 entries:
% 203.59/203.79 ; 18 with value 7 1 with value 14 1 with value 21
% 203.59/203.79 ; 6 with value 10
% 203.59/203.79 ; The agenda of rows to give has 21 entries:
% 203.59/203.79 ; 1 with value (4 8) 1 with value (4 14) 1 with value (4 22)
% 203.59/203.79 ; 2 with value (4 9) 1 with value (4 15) 1 with value (4 23)
% 203.59/203.79 ; 2 with value (4 10) 3 with value (4 16) 1 with value (4 27)
% 203.59/203.79 ; 1 with value (4 11) 1 with value (4 17) 1 with value (4 30)
% 203.59/203.79 ; 2 with value (4 12) 3 with value (4 20)
% 203.59/203.79 Evaluation took:
% 203.59/203.79 203.329 seconds of real time
% 203.59/203.79 187.78459 seconds of user run time
% 203.59/203.79 15.558274 seconds of system run time
% 203.59/203.79 [Run times include 23.534 seconds GC run time.]
% 203.59/203.79 0 calls to %EVAL
% 203.59/203.79 0 page faults and
% 203.59/203.79 22,164,061,592 bytes consed.
% 203.59/203.79 :PROOF-FOUND
% 203.59/203.79 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T07:22:51
% 203.59/203.79 :PROOF-FOUND
% 203.59/203.79 *
%------------------------------------------------------------------------------