TSTP Solution File: ALG170+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:00:04 EDT 2022
% Result : Theorem 8.35s 8.53s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 98
% Syntax : Number of clauses : 276 ( 149 unt; 117 nHn; 276 RR)
% Number of literals : 547 ( 546 equ; 130 neg)
% Maximal clause size : 5 ( 1 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(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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(12,axiom,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(16,axiom,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(49,axiom,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(62,axiom,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(74,axiom,
( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(75,axiom,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(76,axiom,
op(op(e0,e0),op(e0,e0)) = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(80,axiom,
op(op(e4,e0),op(e0,e4)) = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(83,axiom,
op(op(e2,e1),op(e1,e2)) = e1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(84,axiom,
op(op(e3,e1),op(e1,e3)) = e1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(85,axiom,
op(op(e4,e1),op(e1,e4)) = e1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(87,axiom,
op(op(e1,e2),op(e2,e1)) = e2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(91,axiom,
op(op(e0,e3),op(e3,e0)) = e3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(92,axiom,
op(op(e1,e3),op(e3,e1)) = e3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(95,axiom,
op(op(e4,e3),op(e3,e4)) = e3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(97,axiom,
op(op(e1,e4),op(e4,e1)) = e4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(98,axiom,
op(op(e2,e4),op(e4,e2)) = e4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(99,axiom,
op(op(e3,e4),op(e4,e3)) = e4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(100,axiom,
op(op(e4,e4),op(e4,e4)) = e4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(103,axiom,
op(e0,e0) != op(e3,e0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(104,axiom,
op(e0,e0) != op(e4,e0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(105,axiom,
op(e1,e0) != op(e2,e0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(109,axiom,
op(e2,e0) != op(e4,e0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(110,axiom,
op(e3,e0) != op(e4,e0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(112,axiom,
op(e0,e1) != op(e2,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(113,axiom,
op(e0,e1) != op(e3,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(114,axiom,
op(e0,e1) != op(e4,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(115,axiom,
op(e1,e1) != op(e2,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(116,axiom,
op(e1,e1) != op(e3,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(117,axiom,
op(e1,e1) != op(e4,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(118,axiom,
op(e2,e1) != op(e3,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(119,axiom,
op(e2,e1) != op(e4,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(120,axiom,
op(e3,e1) != op(e4,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(121,axiom,
op(e0,e2) != op(e1,e2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(125,axiom,
op(e1,e2) != op(e2,e2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(126,axiom,
op(e1,e2) != op(e3,e2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(131,axiom,
op(e0,e3) != op(e1,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(133,axiom,
op(e0,e3) != op(e3,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(135,axiom,
op(e1,e3) != op(e2,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(136,axiom,
op(e1,e3) != op(e3,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(139,axiom,
op(e2,e3) != op(e4,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(142,axiom,
op(e0,e4) != op(e2,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(144,axiom,
op(e0,e4) != op(e4,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(146,axiom,
op(e1,e4) != op(e3,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(147,axiom,
op(e1,e4) != op(e4,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(148,axiom,
op(e2,e4) != op(e3,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(150,axiom,
op(e3,e4) != op(e4,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(153,axiom,
op(e0,e0) != op(e0,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(154,axiom,
op(e0,e0) != op(e0,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(156,axiom,
op(e0,e1) != op(e0,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(157,axiom,
op(e0,e1) != op(e0,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(158,axiom,
op(e0,e2) != op(e0,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(160,axiom,
op(e0,e3) != op(e0,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(162,axiom,
op(e1,e0) != op(e1,e2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(165,axiom,
op(e1,e1) != op(e1,e2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(166,axiom,
op(e1,e1) != op(e1,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(167,axiom,
op(e1,e1) != op(e1,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(169,axiom,
op(e1,e2) != op(e1,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(170,axiom,
op(e1,e3) != op(e1,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(176,axiom,
op(e2,e1) != op(e2,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(180,axiom,
op(e2,e3) != op(e2,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(183,axiom,
op(e3,e0) != op(e3,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(184,axiom,
op(e3,e0) != op(e3,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(190,axiom,
op(e3,e3) != op(e3,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(191,axiom,
op(e4,e0) != op(e4,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(193,axiom,
op(e4,e0) != op(e4,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(194,axiom,
op(e4,e0) != op(e4,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(196,axiom,
op(e4,e1) != op(e4,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(198,axiom,
op(e4,e2) != op(e4,e3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(199,axiom,
op(e4,e2) != op(e4,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(200,axiom,
op(e4,e3) != op(e4,e4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(203,axiom,
e0 != e3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(204,axiom,
e0 != e4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(205,axiom,
e1 != e2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(206,axiom,
e1 != e3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(207,axiom,
e1 != e4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(210,axiom,
e3 != e4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(211,axiom,
e0 = op(e4,op(e4,e4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(212,axiom,
op(e4,e4) = e1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(213,axiom,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(214,plain,
e2 = op(op(e4,e1),e1),
inference('REWRITE',[status(thm)],[213,212,theory(equality)]) ).
cnf(215,axiom,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(216,plain,
e3 = op(op(e4,e1),op(e4,e1)),
inference('REWRITE',[status(thm)],[215,212,theory(equality)]) ).
cnf(1073,negated_conjecture,
( op(e1,e0) != e1
| op(e3,e1) != e3
| op(e2,e2) != e2
| op(e4,e3) != e4
| op(e0,e4) != e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(4764,negated_conjecture,
( op(e0,e4) != e4
| op(e1,e0) != e0
| op(e2,e2) != e2
| op(e3,e1) != e1
| op(e4,e3) != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(5221,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference('REWRITE',[status(thm)],[72,206,212,theory(equality)]) ).
cnf(5223,plain,
( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[74,207,212,theory(equality)]) ).
cnf(5224,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference('REWRITE',[status(thm)],[75,207,212,theory(equality)]) ).
cnf(5225,plain,
op(e1,e1) = e4,
inference('REWRITE',[status(thm)],[100,212,theory(equality)]) ).
cnf(5226,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference('REWRITE',[status(thm)],[36,204,5225,theory(equality)]) ).
cnf(5237,plain,
op(e2,e1) != e4,
inference('REWRITE',[status(thm)],[115,5225,theory(equality)]) ).
cnf(5238,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference('REWRITE',[status(thm)],[12,5237]) ).
cnf(5240,plain,
op(e3,e1) != e4,
inference('REWRITE',[status(thm)],[116,5225,theory(equality)]) ).
cnf(5241,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[17,5240]) ).
cnf(5243,plain,
op(e4,e1) != e4,
inference('REWRITE',[status(thm)],[117,5225,theory(equality)]) ).
cnf(5245,plain,
( op(e4,e0) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[5223,5243]) ).
cnf(5249,plain,
op(e1,e2) != e4,
inference('REWRITE',[status(thm)],[165,5225,theory(equality)]) ).
cnf(5250,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference('REWRITE',[status(thm)],[8,5249]) ).
cnf(5252,plain,
op(e1,e3) != e4,
inference('REWRITE',[status(thm)],[166,5225,theory(equality)]) ).
cnf(5253,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference('REWRITE',[status(thm)],[9,5252]) ).
cnf(5254,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[65,5252]) ).
cnf(5255,plain,
op(e1,e4) != e4,
inference('REWRITE',[status(thm)],[167,5225,theory(equality)]) ).
cnf(5256,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[10,5255]) ).
cnf(5257,plain,
( op(e0,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference('REWRITE',[status(thm)],[5224,5255]) ).
cnf(5258,plain,
op(e0,e4) != e1,
inference('REWRITE',[status(thm)],[144,212,theory(equality)]) ).
cnf(5259,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference('REWRITE',[status(thm)],[5,5258]) ).
cnf(5261,plain,
op(e1,e4) != e1,
inference('REWRITE',[status(thm)],[147,212,theory(equality)]) ).
cnf(5263,plain,
( op(e1,e4) = e0
| op(e1,e4) = e2
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[5256,5261]) ).
cnf(5267,plain,
op(e3,e4) != e1,
inference('REWRITE',[status(thm)],[150,212,theory(equality)]) ).
cnf(5268,plain,
( op(e3,e4) = e0
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference('REWRITE',[status(thm)],[20,5267]) ).
cnf(5270,plain,
op(e4,e0) != e1,
inference('REWRITE',[status(thm)],[194,212,theory(equality)]) ).
cnf(5271,plain,
( op(e4,e0) = e0
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference('REWRITE',[status(thm)],[21,5270]) ).
cnf(5276,plain,
op(e4,e2) != e1,
inference('REWRITE',[status(thm)],[199,212,theory(equality)]) ).
cnf(5278,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference('REWRITE',[status(thm)],[49,5276]) ).
cnf(5279,plain,
op(e4,e3) != e1,
inference('REWRITE',[status(thm)],[200,212,theory(equality)]) ).
cnf(5280,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[24,5279]) ).
cnf(5282,plain,
op(e4,e1) = e0,
inference('REWRITE',[status(thm)],[211,212,theory(equality)]) ).
cnf(5283,plain,
op(e0,op(e1,e4)) = e1,
inference('REWRITE',[status(thm)],[85,5282,theory(equality)]) ).
cnf(5284,plain,
op(op(e1,e4),e0) = e4,
inference('REWRITE',[status(thm)],[97,5282,theory(equality)]) ).
cnf(5285,plain,
op(e0,e1) != e0,
inference('REWRITE',[status(thm)],[114,5282,theory(equality)]) ).
cnf(5286,plain,
( op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference('REWRITE',[status(thm)],[26,5285]) ).
cnf(5288,plain,
op(e2,e1) != e0,
inference('REWRITE',[status(thm)],[119,5282,theory(equality)]) ).
cnf(5290,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference('REWRITE',[status(thm)],[5238,5288]) ).
cnf(5291,plain,
op(e3,e1) != e0,
inference('REWRITE',[status(thm)],[120,5282,theory(equality)]) ).
cnf(5293,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[5241,5291]) ).
cnf(5294,plain,
op(e4,e0) != e0,
inference('REWRITE',[status(thm)],[191,5282,theory(equality)]) ).
cnf(5296,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference('REWRITE',[status(thm)],[5271,5294]) ).
cnf(5300,plain,
op(e4,e3) != e0,
inference('REWRITE',[status(thm)],[196,5282,theory(equality)]) ).
cnf(5302,plain,
( op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[5280,5300]) ).
cnf(5303,plain,
op(e0,e1) = e2,
inference('REWRITE',[status(thm)],[214,5282,theory(equality)]) ).
cnf(5307,plain,
op(e2,e1) != e2,
inference('REWRITE',[status(thm)],[112,5303,theory(equality)]) ).
cnf(5308,plain,
( op(e2,e0) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
inference('REWRITE',[status(thm)],[50,5307]) ).
cnf(5309,plain,
( op(e2,e1) = e1
| op(e2,e1) = e3 ),
inference('REWRITE',[status(thm)],[5290,5307]) ).
cnf(5310,plain,
op(e3,e1) != e2,
inference('REWRITE',[status(thm)],[113,5303,theory(equality)]) ).
cnf(5312,plain,
( op(e3,e1) = e1
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[5293,5310]) ).
cnf(5319,plain,
op(e0,e3) != e2,
inference('REWRITE',[status(thm)],[156,5303,theory(equality)]) ).
cnf(5320,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[4,5319]) ).
cnf(5322,plain,
op(e0,e4) != e2,
inference('REWRITE',[status(thm)],[157,5303,theory(equality)]) ).
cnf(5324,plain,
( op(e0,e4) = e0
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference('REWRITE',[status(thm)],[5259,5322]) ).
cnf(5327,plain,
op(e0,e0) = e3,
inference('REWRITE',[status(thm)],[216,5282,theory(equality)]) ).
cnf(5328,plain,
op(e3,e3) = e0,
inference('REWRITE',[status(thm)],[76,5327,theory(equality)]) ).
cnf(5329,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e4) = e3 ),
inference('REWRITE',[status(thm)],[62,203,5328,theory(equality)]) ).
cnf(5330,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e4,e3) = e3 ),
inference('REWRITE',[status(thm)],[63,203,5328,theory(equality)]) ).
cnf(5331,plain,
op(e0,e3) != e0,
inference('REWRITE',[status(thm)],[133,5328,theory(equality)]) ).
cnf(5332,plain,
( op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[5320,5331]) ).
cnf(5333,plain,
op(e1,e3) != e0,
inference('REWRITE',[status(thm)],[136,5328,theory(equality)]) ).
cnf(5334,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e4) = e0 ),
inference('REWRITE',[status(thm)],[5226,5333]) ).
cnf(5335,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference('REWRITE',[status(thm)],[5253,5333]) ).
cnf(5339,plain,
op(e3,e0) != e0,
inference('REWRITE',[status(thm)],[183,5328,theory(equality)]) ).
cnf(5340,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[16,5339]) ).
cnf(5344,plain,
op(e3,e4) != e0,
inference('REWRITE',[status(thm)],[190,5328,theory(equality)]) ).
cnf(5346,plain,
( op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference('REWRITE',[status(thm)],[5268,5344]) ).
cnf(5348,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[5254,204,5328,theory(equality)]) ).
cnf(5359,plain,
op(e3,e0) != e3,
inference('REWRITE',[status(thm)],[103,5327,theory(equality)]) ).
cnf(5360,plain,
( op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e4) = e3 ),
inference('REWRITE',[status(thm)],[5329,5359]) ).
cnf(5361,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[5340,5359]) ).
cnf(5362,plain,
op(e4,e0) != e3,
inference('REWRITE',[status(thm)],[104,5327,theory(equality)]) ).
cnf(5363,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4 ),
inference('REWRITE',[status(thm)],[5296,5362]) ).
cnf(5367,plain,
op(e0,e3) != e3,
inference('REWRITE',[status(thm)],[153,5327,theory(equality)]) ).
cnf(5368,plain,
( op(e1,e3) = e3
| op(e2,e3) = e3
| op(e4,e3) = e3 ),
inference('REWRITE',[status(thm)],[5330,5367]) ).
cnf(5369,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[5332,5367]) ).
cnf(5370,plain,
op(e0,e4) != e3,
inference('REWRITE',[status(thm)],[154,5327,theory(equality)]) ).
cnf(5372,plain,
( op(e0,e4) = e0
| op(e0,e4) = e4 ),
inference('REWRITE',[status(thm)],[5324,5370]) ).
cnf(5376,plain,
( op(e0,e2) = e0
| op(e0,e4) = e0 ),
inference('REWRITE',[status(thm)],[5286,5331,203,5327,theory(equality)]) ).
cnf(5380,plain,
( op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference('REWRITE',[status(thm)],[5221,203,5362,5282,theory(equality)]) ).
cnf(5386,plain,
( op(e2,e1) = e1
| op(op(e1,e2),e3) = e2 ),
inference('PARAMODULATE',[status(thm)],[87,5309,theory(equality)]) ).
cnf(5391,plain,
( op(e3,e1) = e1
| op(op(e1,e3),e3) = e3 ),
inference('PARAMODULATE',[status(thm)],[92,5312,theory(equality)]) ).
cnf(5392,plain,
( op(e3,e1) = e1
| op(e3,op(e1,e3)) = e1 ),
inference('PARAMODULATE',[status(thm)],[84,5312,theory(equality)]) ).
cnf(5402,plain,
( op(e4,e0) = e2
| op(e4,op(e0,e4)) = e0 ),
inference('PARAMODULATE',[status(thm)],[80,5363,theory(equality)]) ).
cnf(5403,plain,
( op(e0,e3) = e1
| op(e0,e4) != e4 ),
inference('PARAMODULATE',[status(thm)],[160,5369,theory(equality)]) ).
cnf(5407,plain,
( op(e0,e3) = e1
| op(e4,op(e3,e0)) = e3 ),
inference('PARAMODULATE',[status(thm)],[91,5369,theory(equality)]) ).
cnf(5412,plain,
( op(e0,e4) = e0
| op(e2,e4) != e4 ),
inference('PARAMODULATE',[status(thm)],[142,5372,theory(equality)]) ).
cnf(5418,plain,
( op(e0,e2) = e0
| op(op(e4,e0),e0) = e0 ),
inference('PARAMODULATE',[status(thm)],[80,5376,theory(equality)]) ).
cnf(5427,plain,
( op(e4,e2) = e3
| op(e2,e3) != e3 ),
inference('PARAMODULATE',[status(thm)],[139,5380,theory(equality)]) ).
cnf(5437,plain,
( op(e4,e0) = e4
| op(e4,e2) = e4
| op(op(e3,e4),e4) = e4 ),
inference('PARAMODULATE',[status(thm)],[99,5245,theory(equality)]) ).
cnf(5448,plain,
( op(e1,e4) = e0
| op(e1,e4) = e2
| op(e3,e0) = e4 ),
inference('PARAMODULATE',[status(thm)],[5284,5263,theory(equality)]) ).
cnf(5465,plain,
( op(e4,e3) = e2
| op(e4,e3) = e3
| op(op(e3,e4),e4) = e4 ),
inference('PARAMODULATE',[status(thm)],[99,5302,theory(equality)]) ).
cnf(5472,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5284,5334,theory(equality)]),210,5327,theory(equality)]) ).
cnf(5504,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4
| op(e4,e2) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5380,5348,theory(equality)]),210]) ).
cnf(5563,plain,
( op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,op(e3,e4)) = e3 ),
inference('PARAMODULATE',[status(thm)],[95,5368,theory(equality)]) ).
cnf(6325,plain,
( op(e0,e4) = e0
| op(e0,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[5403,5372]) ).
cnf(6342,plain,
( op(e1,e0) = e0
| op(op(e2,e1),e0) = e1 ),
inference('PARAMODULATE',[status(thm)],[83,5472,theory(equality)]) ).
cnf(6382,plain,
( op(e1,e0) = e0
| op(e2,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5386,5472,theory(equality)]),5319]) ).
cnf(6406,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e3,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5391,5335,theory(equality)]),203,5328,theory(equality)]) ).
cnf(6427,plain,
( op(e0,e2) = e0
| op(e4,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5402,5376,theory(equality)]),5294]) ).
cnf(6428,plain,
( op(e0,e3) = e1
| op(e4,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5402,6325,theory(equality)]),5294]) ).
cnf(6439,plain,
( op(e0,e3) = e1
| op(e3,e0) != e2 ),
inference('PARAMODULATE',[status(thm)],[110,6428,theory(equality)]) ).
cnf(6449,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e0,e3) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5407,5361,theory(equality)]),206,212,theory(equality)]) ).
cnf(6480,plain,
( op(e0,e2) = e0
| op(e2,e0) = e0 ),
inference('PARAMODULATE',[status(thm)],[5418,6427,theory(equality)]) ).
cnf(6590,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference('PARAMODULATE',[status(thm)],[6342,6382,theory(equality)]) ).
cnf(6592,plain,
( op(e1,e0) = e0
| op(e1,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[162,6590,theory(equality)]) ).
cnf(6697,plain,
( op(e1,e4) = e0
| op(e3,e0) = e4
| op(e0,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[5283,5448,theory(equality)]) ).
cnf(6957,plain,
( op(e1,e3) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1 ),
inference('PARAMODULATE',[status(thm)],[5392,6406,theory(equality)]) ).
cnf(6985,plain,
( op(e3,e0) = e1
| op(e0,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[6439,6449]) ).
cnf(6988,plain,
op(e0,e3) = e1,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5407,6985,theory(equality)]),203,5282,theory(equality)]) ).
cnf(6990,plain,
op(e1,op(e3,e0)) = e3,
inference('REWRITE',[status(thm)],[91,6988,theory(equality)]) ).
cnf(6991,plain,
op(e1,e3) != e1,
inference('REWRITE',[status(thm)],[131,6988,theory(equality)]) ).
cnf(6992,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference('REWRITE',[status(thm)],[5335,6991]) ).
cnf(7026,plain,
( op(e3,e1) = e1
| op(e3,e2) = e1 ),
inference('REWRITE',[status(thm)],[6957,6991]) ).
cnf(7056,plain,
op(e0,e2) != e1,
inference('REWRITE',[status(thm)],[158,6988,theory(equality)]) ).
cnf(7057,plain,
( op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference('REWRITE',[status(thm)],[5278,7056]) ).
cnf(7064,plain,
( op(e1,e4) = e0
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[6697,7056]) ).
cnf(7071,plain,
( op(e2,e3) = e4
| op(e4,e2) = e3 ),
inference('REWRITE',[status(thm)],[5504,207,6988,theory(equality)]) ).
cnf(7174,plain,
op(e3,e0) = e4,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5284,7064,theory(equality)]),210,5327,theory(equality)]) ).
cnf(7187,plain,
op(e4,e0) != e4,
inference('REWRITE',[status(thm)],[110,7174,theory(equality)]) ).
cnf(7189,plain,
op(e4,e0) = e2,
inference('REWRITE',[status(thm)],[5363,7187]) ).
cnf(7194,plain,
op(e2,e0) != e2,
inference('REWRITE',[status(thm)],[109,7189,theory(equality)]) ).
cnf(7195,plain,
( op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
inference('REWRITE',[status(thm)],[5308,7194]) ).
cnf(7225,plain,
op(e4,e3) != e2,
inference('REWRITE',[status(thm)],[193,7189,theory(equality)]) ).
cnf(7230,plain,
( op(e4,e3) = e3
| op(op(e3,e4),e4) = e4 ),
inference('REWRITE',[status(thm)],[5465,7225]) ).
cnf(7248,plain,
( op(e4,e2) = e4
| op(op(e3,e4),e4) = e4 ),
inference('REWRITE',[status(thm)],[5437,7187]) ).
cnf(7275,plain,
op(e3,e4) != e4,
inference('REWRITE',[status(thm)],[184,7174,theory(equality)]) ).
cnf(7276,plain,
( op(e0,e4) = e4
| op(e2,e4) = e4 ),
inference('REWRITE',[status(thm)],[5257,7275]) ).
cnf(7277,plain,
( op(e3,e4) = e2
| op(e3,e4) = e3 ),
inference('REWRITE',[status(thm)],[5346,7275]) ).
cnf(7292,plain,
op(e1,e4) = e3,
inference('REWRITE',[status(thm)],[6990,7174,theory(equality)]) ).
cnf(7300,plain,
op(e3,e4) != e3,
inference('REWRITE',[status(thm)],[146,7292,theory(equality)]) ).
cnf(7301,plain,
( op(e3,e1) = e3
| op(e3,e2) = e3 ),
inference('REWRITE',[status(thm)],[5360,7300]) ).
cnf(7302,plain,
op(e3,e4) = e2,
inference('REWRITE',[status(thm)],[7277,7300]) ).
cnf(7305,plain,
op(e2,e4) != e2,
inference('REWRITE',[status(thm)],[148,7302,theory(equality)]) ).
cnf(7306,plain,
( op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference('REWRITE',[status(thm)],[7195,7305]) ).
cnf(7317,plain,
( op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e2) = e3 ),
inference('REWRITE',[status(thm)],[5563,7302,theory(equality)]) ).
cnf(7319,plain,
( op(e4,e3) = e3
| op(e2,e4) = e4 ),
inference('REWRITE',[status(thm)],[7230,7302,theory(equality)]) ).
cnf(7320,plain,
( op(e4,e2) = e4
| op(e2,e4) = e4 ),
inference('REWRITE',[status(thm)],[7248,7302,theory(equality)]) ).
cnf(7321,plain,
op(e1,e2) != e3,
inference('REWRITE',[status(thm)],[169,7292,theory(equality)]) ).
cnf(7322,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2 ),
inference('REWRITE',[status(thm)],[5250,7321]) ).
cnf(7328,plain,
op(e1,e3) != e3,
inference('REWRITE',[status(thm)],[170,7292,theory(equality)]) ).
cnf(7329,plain,
( op(e2,e3) = e3
| op(e4,e3) = e3 ),
inference('REWRITE',[status(thm)],[5368,7328]) ).
cnf(7339,plain,
op(e1,e3) = e2,
inference('REWRITE',[status(thm)],[6992,7328]) ).
cnf(7342,plain,
op(e2,e3) != e2,
inference('REWRITE',[status(thm)],[135,7339,theory(equality)]) ).
cnf(7350,plain,
op(e2,e2) = e2,
inference('REWRITE',[status(thm)],[7306,7342]) ).
cnf(7351,plain,
op(e1,e2) != e2,
inference('REWRITE',[status(thm)],[125,7350,theory(equality)]) ).
cnf(7352,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1 ),
inference('REWRITE',[status(thm)],[7322,7351]) ).
cnf(7353,plain,
( op(e1,e0) != e1
| op(e3,e1) != e3
| op(e4,e3) != e4
| op(e0,e4) != e0 ),
inference('REWRITE',[status(thm)],[1073,7350,theory(equality)]) ).
cnf(7354,plain,
( op(e0,e4) != e4
| op(e1,e0) != e0
| op(e3,e1) != e1
| op(e4,e3) != e3 ),
inference('REWRITE',[status(thm)],[4764,7350,theory(equality)]) ).
cnf(7366,plain,
( op(e1,e2) = e1
| op(e3,e2) = e1 ),
inference('REWRITE',[status(thm)],[7057,205,7350,theory(equality)]) ).
cnf(7389,plain,
( op(e2,e3) = e3
| op(e3,e2) = e3 ),
inference('REWRITE',[status(thm)],[7317,7328]) ).
cnf(7405,plain,
( op(e1,e2) = e1
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7301,7366,theory(equality)]),206]) ).
cnf(7416,plain,
( op(e2,e4) = e4
| op(e2,e3) != e3 ),
inference('PARAMODULATE',[status(thm)],[139,7319,theory(equality)]) ).
cnf(7424,plain,
( op(e4,e2) = e4
| op(e4,op(e4,e2)) = e4 ),
inference('PARAMODULATE',[status(thm)],[98,7320,theory(equality)]) ).
cnf(7449,plain,
( op(e2,e3) = e3
| op(e1,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7366,7389,theory(equality)]),206]) ).
cnf(7506,plain,
( op(e1,e2) = e1
| op(e2,e4) = e4 ),
inference('HYPERRESOLVE',[status(thm)],[7416,7449]) ).
cnf(7507,plain,
( op(e1,e2) = e1
| op(e4,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[5427,7449]) ).
cnf(7581,plain,
( op(e1,e2) = e1
| op(e0,e4) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[5412,7506]) ).
cnf(7710,plain,
( op(e1,e2) = e1
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7424,7507,theory(equality)]),210]) ).
cnf(7715,plain,
( op(e1,e2) = e1
| op(e1,e0) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[7353,7710,6590,7405,7581]) ).
cnf(7773,plain,
op(e1,e0) = e0,
inference('HYPERRESOLVE',[status(thm)],[6592,7715]) ).
cnf(7774,plain,
op(e2,e0) != e0,
inference('REWRITE',[status(thm)],[105,7773,theory(equality)]) ).
cnf(7775,plain,
op(e0,e2) = e0,
inference('REWRITE',[status(thm)],[6480,7774]) ).
cnf(7778,plain,
op(e1,e2) != e0,
inference('REWRITE',[status(thm)],[121,7775,theory(equality)]) ).
cnf(7779,plain,
op(e1,e2) = e1,
inference('REWRITE',[status(thm)],[7352,7778]) ).
cnf(7782,plain,
op(e3,e2) != e1,
inference('REWRITE',[status(thm)],[126,7779,theory(equality)]) ).
cnf(7783,plain,
op(e3,e1) = e1,
inference('REWRITE',[status(thm)],[7026,7782]) ).
cnf(7784,plain,
op(e2,e1) != e1,
inference('REWRITE',[status(thm)],[118,7783,theory(equality)]) ).
cnf(7785,plain,
op(e2,e1) = e3,
inference('REWRITE',[status(thm)],[5309,7784]) ).
cnf(7786,plain,
op(e2,e3) != e3,
inference('REWRITE',[status(thm)],[176,7785,theory(equality)]) ).
cnf(7787,plain,
op(e4,e3) = e3,
inference('REWRITE',[status(thm)],[7329,7786]) ).
cnf(7788,plain,
op(e4,e2) != e3,
inference('REWRITE',[status(thm)],[198,7787,theory(equality)]) ).
cnf(7789,plain,
op(e2,e3) = e4,
inference('REWRITE',[status(thm)],[7071,7788]) ).
cnf(7792,plain,
op(e2,e4) != e4,
inference('REWRITE',[status(thm)],[180,7789,theory(equality)]) ).
cnf(7793,plain,
op(e0,e4) = e4,
inference('REWRITE',[status(thm)],[7276,7792]) ).
cnf(7800,plain,
$false,
inference('REWRITE',[status(thm)],[7354,7787,7783,7793,7773,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG170+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 19:57:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T19:57:36
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-08T19:57:36
% 8.35/8.53
% 8.35/8.53
% 8.35/8.53 #||
% 8.35/8.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.35/8.53 % SZS output start Refutation
% See solution above
% 8.35/8.55 ||#
% 8.35/8.55
% 8.35/8.55 ; Summary of computation:
% 8.35/8.55 ; 27830 formulas have been input or derived (from 996 formulas).
% 8.35/8.55 ; 7800 (28%) were retained. Of these,
% 8.35/8.55 ; 7764 (100%) were simplified or subsumed later,
% 8.35/8.55 ; 36 ( 0%) are still being kept.
% 8.35/8.55 ;
% 8.35/8.55 ; Run time in seconds excluding printing time:
% 8.35/8.55 ; 0.036 0% Read assertion file (1 call)
% 8.35/8.55 ; 0.248 3% Assert (7 calls)
% 8.35/8.55 ; 0.636 8% Process new row (27,662 calls)
% 8.35/8.55 ; 0.195 2% Resolution (1,990 calls)
% 8.35/8.55 ; 0.224 3% Paramodulation (995 calls)
% 8.35/8.55 ; 0.002 0% Factoring (322 calls)
% 8.35/8.55 ; 0.018 0% Condensing (15,109 calls)
% 8.35/8.55 ; 2.921 36% Forward subsumption (15,109 calls)
% 8.35/8.55 ; 0.664 8% Backward subsumption (7,547 calls)
% 8.35/8.55 ; 1.610 20% Clause clause subsumption (414,210 calls)
% 8.35/8.55 ; 0.876 11% Forward simplification (27,495 calls)
% 8.35/8.55 ; 0.427 5% Backward simplification (7,798 calls)
% 8.35/8.55 ; 0.079 1% Ordering (63,989 calls)
% 8.35/8.55 ; 0.000 0% Sortal reasoning (32 calls)
% 8.35/8.55 ; 0.015 0% Purity testing (1 call)
% 8.35/8.55 ; 0.115 1% Other
% 8.35/8.55 ; 8.066 Total
% 8.35/8.55 ; 8.086 Real time
% 8.35/8.55 ;
% 8.35/8.55 ; Term-hash-array has 492 terms in all.
% 8.35/8.55 ; Feature-vector-row-index has 0 entries (5,072 at peak, 7,547 added, 7,547 deleted).
% 8.35/8.55 ; Feature-vector-row-index has 1 node (12,049 at peak, 22,402 added, 22,401 deleted).
% 8.35/8.55 ; Retrieved 377,743 possibly forward subsuming rows in 15,109 calls.
% 8.35/8.55 ; Retrieved 173,317 possibly backward subsumed rows in 7,547 calls.
% 8.35/8.55 ; Path-index has 65 entries (388 at peak, 533 added, 468 deleted).
% 8.35/8.55 ; Path-index has 50 nodes (90 at peak, 90 added, 40 deleted).
% 8.35/8.55 ; Trie-index has 65 entries (388 at peak, 533 added, 468 deleted).
% 8.35/8.55 ; Trie-index has 108 nodes (756 at peak, 1,042 added, 934 deleted).
% 8.35/8.55 ; Retrieved 14,832 generalization terms in 240,788 calls.
% 8.35/8.55 ; Retrieved 250 instance terms in 250 calls.
% 8.35/8.55 ; Retrieved 9,794 unifiable terms in 13,438 calls.
% 8.35/8.55 ;
% 8.35/8.55 ; The agenda of backward simplifiable rows to process has 73 entries:
% 8.35/8.55 ; 73 with value 0
% 8.35/8.55 ; The agenda of rows to process has 33 entries:
% 8.35/8.55 ; 6 with value 17 2 with value 23 1 with value 25
% 8.35/8.55 ; 8 with value 20 9 with value 24 6 with value 27
% 8.35/8.55 ; 1 with value 21
% 8.35/8.55 ; The agenda of input rows to give has 4 entries:
% 8.35/8.55 ; 4 with value 7
% 8.35/8.55 ; The agenda of rows to give has 8 entries:
% 8.35/8.55 ; 3 with value (4 8) 1 with value (4 12) 1 with value (4 13)
% 8.35/8.55 ; 3 with value (4 10)
% 8.35/8.55 Evaluation took:
% 8.35/8.55 8.086 seconds of real time
% 8.35/8.55 7.43764 seconds of user run time
% 8.35/8.55 0.648912 seconds of system run time
% 8.35/8.55 [Run times include 0.411 seconds GC run time.]
% 8.35/8.55 0 calls to %EVAL
% 8.35/8.55 0 page faults and
% 8.35/8.55 916,300,560 bytes consed.
% 8.35/8.55 :PROOF-FOUND
% 8.35/8.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T19:57:44
% 8.35/8.55 :PROOF-FOUND
% 8.35/8.55 *
%------------------------------------------------------------------------------