TSTP Solution File: ALG139+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG139+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 17:59:59 EDT 2022
% Result : Unsatisfiable 149.44s 149.65s
% Output : Refutation 149.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 91
% Syntax : Number of clauses : 330 ( 77 unt; 230 nHn; 330 RR)
% Number of literals : 1057 (1056 equ; 210 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(9,axiom,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(12,axiom,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(14,axiom,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(15,axiom,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(19,axiom,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(20,axiom,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(22,axiom,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(23,axiom,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(24,axiom,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(25,axiom,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(26,axiom,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(27,axiom,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(30,axiom,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(31,axiom,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(33,axiom,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(34,axiom,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(35,axiom,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(36,axiom,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(41,axiom,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(42,axiom,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(43,axiom,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(44,axiom,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(48,axiom,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(49,axiom,
op(e0,e0) != op(e1,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(50,axiom,
op(e0,e0) != op(e2,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(55,axiom,
op(e0,e1) != op(e1,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(56,axiom,
op(e0,e1) != op(e2,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(57,axiom,
op(e0,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(58,axiom,
op(e1,e1) != op(e2,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(59,axiom,
op(e1,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(60,axiom,
op(e2,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(61,axiom,
op(e0,e2) != op(e1,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(62,axiom,
op(e0,e2) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(64,axiom,
op(e1,e2) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(65,axiom,
op(e1,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(66,axiom,
op(e2,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(67,axiom,
op(e0,e3) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(69,axiom,
op(e0,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(70,axiom,
op(e1,e3) != op(e2,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(71,axiom,
op(e1,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(72,axiom,
op(e2,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(74,axiom,
op(e0,e0) != op(e0,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(75,axiom,
op(e0,e0) != op(e0,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(76,axiom,
op(e0,e1) != op(e0,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(79,axiom,
op(e1,e0) != op(e1,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(83,axiom,
op(e1,e1) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(85,axiom,
op(e2,e0) != op(e2,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(86,axiom,
op(e2,e0) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(87,axiom,
op(e2,e0) != op(e2,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(88,axiom,
op(e2,e1) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(89,axiom,
op(e2,e1) != op(e2,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(90,axiom,
op(e2,e2) != op(e2,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(93,axiom,
op(e3,e0) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(95,axiom,
op(e3,e1) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(96,axiom,
op(e3,e2) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(97,axiom,
e0 != e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(98,axiom,
e0 != e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(99,axiom,
e0 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(100,axiom,
e1 != e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(101,axiom,
e1 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(102,axiom,
e2 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(103,axiom,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(105,axiom,
( op(e1,e1) = e0
| op(e0,e0) != e2
| op(e3,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(111,axiom,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(112,axiom,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e1,e1) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(113,axiom,
( op(e0,e0) = e1
| op(e1,e1) != e2
| op(e3,e3) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(114,axiom,
( op(e0,e0) = e1
| op(e1,e1) != e2
| op(e1,e1) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(119,axiom,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(120,axiom,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(121,axiom,
( op(e0,e0) = e2
| op(e2,e2) != e1
| op(e3,e3) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(123,axiom,
( op(e2,e2) != e0
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(127,axiom,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(129,axiom,
( op(e0,e0) = e3
| op(e3,e3) != e1
| op(e2,e2) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(131,axiom,
( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(135,axiom,
( e0 != op(op(e2,e2),e2)
| e1 != op(op(e2,e2),op(e2,e2))
| op(e2,e2) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(136,axiom,
( e0 != op(op(e3,e3),e3)
| e1 != op(op(e3,e3),op(e3,e3))
| op(e3,e3) != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(137,axiom,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| op(e1,e1) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(139,axiom,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| op(e1,e1) != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(140,axiom,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| op(e2,e2) != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(141,axiom,
( e1 != op(op(e2,e2),e2)
| e0 != op(op(e2,e2),op(e2,e2))
| op(e2,e2) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(142,axiom,
( e1 != op(op(e3,e3),e3)
| e0 != op(op(e3,e3),op(e3,e3))
| op(e3,e3) != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(143,axiom,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(144,axiom,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| op(e3,e3) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(145,axiom,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(146,axiom,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| op(e2,e2) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(147,axiom,
( e2 != op(op(e1,e1),e1)
| e0 != op(op(e1,e1),op(e1,e1))
| op(e1,e1) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(149,axiom,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| op(e0,e0) != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
cnf(158,axiom,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| op(e1,e1) != e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
cnf(159,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e2) != e0 ),
inference('PARAMODULATE',[status(thm)],[96,103,theory(equality)]) ).
cnf(160,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[95,103,theory(equality)]) ).
cnf(162,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[72,103,theory(equality)]) ).
cnf(163,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[71,103,theory(equality)]) ).
cnf(167,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) != e1 ),
inference('PARAMODULATE',[status(thm)],[93,111,theory(equality)]) ).
cnf(168,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[72,111,theory(equality)]) ).
cnf(169,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e1,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[71,111,theory(equality)]) ).
cnf(170,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[69,111,theory(equality)]) ).
cnf(171,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[103,111,theory(equality)]),97]) ).
cnf(178,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[111,119,theory(equality)]),100]) ).
cnf(179,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[103,119,theory(equality)]),98]) ).
cnf(182,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e0) != e3 ),
inference('PARAMODULATE',[status(thm)],[86,127,theory(equality)]) ).
cnf(184,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) != e3 ),
inference('PARAMODULATE',[status(thm)],[64,127,theory(equality)]) ).
cnf(185,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e2) != e3 ),
inference('PARAMODULATE',[status(thm)],[62,127,theory(equality)]) ).
cnf(186,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[120,127]) ).
cnf(187,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3
| op(e2,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[129,111]) ).
cnf(188,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[131,103]) ).
cnf(294,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e3,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[69,19,theory(equality)]) ).
cnf(296,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e3) != e1 ),
inference('PARAMODULATE',[status(thm)],[67,19,theory(equality)]) ).
cnf(314,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e1,e3) != e3 ),
inference('PARAMODULATE',[status(thm)],[67,23,theory(equality)]) ).
cnf(316,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,23,theory(equality)]),101]) ).
cnf(343,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e3) != e2 ),
inference('PARAMODULATE',[status(thm)],[95,30,theory(equality)]) ).
cnf(401,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[111,41,theory(equality)]),97]) ).
cnf(406,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[119,42,theory(equality)]),98]) ).
cnf(412,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[119,43,theory(equality)]),100]) ).
cnf(419,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e0,e0) = e3
| op(e2,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[129,44]) ).
cnf(434,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e2) != e2 ),
inference('PARAMODULATE',[status(thm)],[96,46,theory(equality)]) ).
cnf(435,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e1) != e2 ),
inference('PARAMODULATE',[status(thm)],[95,46,theory(equality)]) ).
cnf(439,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[103,46,theory(equality)]),98]) ).
cnf(456,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e2) != e3 ),
inference('PARAMODULATE',[status(thm)],[96,48,theory(equality)]) ).
cnf(470,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e3) != e0
| op(e2,e2) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[136,119,theory(equality)]),theory(equality)]) ).
cnf(473,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e1) != e0
| op(e3,e3) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[137,6,theory(equality)]),theory(equality)]) ).
cnf(480,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e2,e3) != e1
| op(e2,e2) != e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[142,46,theory(equality)]),theory(equality)]) ).
cnf(486,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e1) != e2
| op(e3,e3) != e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[147,6,theory(equality)]),theory(equality)]) ).
cnf(494,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[159,34]) ).
cnf(495,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[160,26]) ).
cnf(497,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[162,33]) ).
cnf(498,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[163,25]) ).
cnf(502,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[167,20]) ).
cnf(503,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[168,35]) ).
cnf(504,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[169,27]) ).
cnf(505,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e2,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[170,19]) ).
cnf(530,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1
| op(e3,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[66,178,theory(equality)]) ).
cnf(532,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1
| op(e0,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[62,178,theory(equality)]) ).
cnf(536,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e2,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[88,179,theory(equality)]) ).
cnf(541,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[178,179,theory(equality)]),97]) ).
cnf(550,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e1) != e0
| op(e3,e3) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[137,186,theory(equality)]),theory(equality)]) ).
cnf(557,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[171,187,theory(equality)]),99,101]) ).
cnf(558,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3
| op(e3,e2) != e0
| op(e3,e3) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[135,187,theory(equality)]),theory(equality)]) ).
cnf(566,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e3
| op(e0,e0) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[171,188,theory(equality)]),99,101]) ).
cnf(567,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e3
| op(e3,e2) != e1
| op(e3,e3) != e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[141,188,theory(equality)]),theory(equality)]) ).
cnf(665,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[296,27]) ).
cnf(674,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[314,31]) ).
cnf(724,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e2,e3) != e0 ),
inference('PARAMODULATE',[status(thm)],[90,494,theory(equality)]) ).
cnf(726,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e2,e0) != e0 ),
inference('PARAMODULATE',[status(thm)],[86,494,theory(equality)]) ).
cnf(731,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[127,494,theory(equality)]),99]) ).
cnf(732,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[187,494,theory(equality)]),99,97]) ).
cnf(737,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[123,495]) ).
cnf(740,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[127,495,theory(equality)]),99]) ).
cnf(743,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e3,e2) != e0 ),
inference('PARAMODULATE',[status(thm)],[66,497,theory(equality)]) ).
cnf(759,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[187,498,theory(equality)]),99,97]) ).
cnf(780,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[127,502,theory(equality)]),101]) ).
cnf(790,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e3) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[121,503]) ).
cnf(802,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[64,505,theory(equality)]) ).
cnf(818,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[113,541]) ).
cnf(835,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[127,557,theory(equality)]),101]) ).
cnf(837,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e1,e2) != e0
| op(e1,e1) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[140,557,theory(equality)]),theory(equality)]) ).
cnf(844,plain,
( op(e1,e1) = e0
| op(e1,e1) = e3
| op(e0,e0) = e1
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[123,566]) ).
cnf(853,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e2,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[103,818,theory(equality)]),97]) ).
cnf(855,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[294,818]) ).
cnf(866,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e0
| op(e0,e0) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[114,835,541]) ).
cnf(898,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e2) != e1
| op(e0,e0) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[146,853,theory(equality)]),theory(equality)]) ).
cnf(905,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[186,866,theory(equality)]),98,99]) ).
cnf(912,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) != e2
| op(e3,e3) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[149,905,theory(equality)]),theory(equality)]) ).
cnf(913,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) != e1
| op(e3,e3) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[143,905,theory(equality)]),theory(equality)]) ).
cnf(929,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1
| op(e3,e0) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[913,119,theory(equality)]),theory(equality)]) ).
cnf(996,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[470,406,178]) ).
cnf(1031,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[530,412]) ).
cnf(1107,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e2,e1) != e2 ),
inference('PARAMODULATE',[status(thm)],[89,439,theory(equality)]) ).
cnf(1250,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e0,e0) = e3
| op(e2,e2) = e3
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e2) != e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[480,419,theory(equality)]),100,theory(equality)]) ).
cnf(1277,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[486,30,103]) ).
cnf(1348,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e0,e0) = e1
| op(e0,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[62,504,theory(equality)]) ).
cnf(1417,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e3
| op(e3,e1) != e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[550,119,theory(equality)]),theory(equality)]) ).
cnf(1418,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[1417,26]) ).
cnf(1419,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3
| op(e3,e2) != e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[558,111,theory(equality)]),theory(equality)]) ).
cnf(1420,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[1419,401]) ).
cnf(1422,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e3
| op(e3,e2) != e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[567,103,theory(equality)]),theory(equality)]) ).
cnf(1424,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[1422,36]) ).
cnf(1444,plain,
( op(e0,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1
| op(e1,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[83,996,theory(equality)]) ).
cnf(1522,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e2
| op(e1,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[473,737,26]) ).
cnf(1756,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[837,759,835]) ).
cnf(1757,plain,
( op(e0,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[837,732,835]) ).
cnf(1761,plain,
( op(e1,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e3,e1) != e0 ),
inference('PARAMODULATE',[status(thm)],[59,1756,theory(equality)]) ).
cnf(1789,plain,
( op(e1,e1) = e0
| op(e1,e1) = e3
| op(e0,e0) = e1
| op(e1,e1) = e2
| op(e2,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[111,844,theory(equality)]),100]) ).
cnf(1814,plain,
( op(e3,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1
| op(e0,e1) != e1 ),
inference('PARAMODULATE',[status(thm)],[57,1031,theory(equality)]) ).
cnf(1954,plain,
( op(e3,e0) = e0
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[1761,1420]) ).
cnf(1974,plain,
( op(e1,e1) = e0
| op(e1,e1) = e3
| op(e0,e0) = e1
| op(e1,e1) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[566,1789,theory(equality)]),97]) ).
cnf(1975,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2
| op(e2,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[112,1974]) ).
cnf(2001,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2
| op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[498,1975,theory(equality)]),97]) ).
cnf(2005,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2
| op(e1,e2) != e0
| op(e1,e1) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[140,1975,theory(equality)]),theory(equality)]) ).
cnf(2069,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[898,855,905]) ).
cnf(2079,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e3) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1444,2069,theory(equality)]),98,theory(equality)]) ).
cnf(2093,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,2079,theory(equality)]),97]) ).
cnf(2098,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[532,2093]) ).
cnf(2111,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2069,2098,theory(equality)]),98]) ).
cnf(2115,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e1) != e1 ),
inference('PARAMODULATE',[status(thm)],[56,2111,theory(equality)]) ).
cnf(2117,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e0) = e1
| op(e1,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[1814,2111]) ).
cnf(2121,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[929,2117]) ).
cnf(2122,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[113,2121]) ).
cnf(2125,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e0) != e2 ),
inference('PARAMODULATE',[status(thm)],[79,2121,theory(equality)]) ).
cnf(2138,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e0) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[912,2122,theory(equality)]),theory(equality)]) ).
cnf(2139,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e2,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[790,2122,theory(equality)]),100]) ).
cnf(2148,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[2138,22]) ).
cnf(2213,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,1954,theory(equality)]),99]) ).
cnf(2254,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e1,e1) = e2
| op(e1,e0) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[2005,2001,1974]) ).
cnf(2261,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e1,e0) = e0
| op(e3,e3) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[113,2254]) ).
cnf(2318,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[2115,2139]) ).
cnf(2378,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1757,316,theory(equality)]),99]) ).
cnf(3053,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2318,2148,theory(equality)]),100]) ).
cnf(3054,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[2125,3053]) ).
cnf(3061,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[105,3054]) ).
cnf(3063,plain,
( op(e0,e0) = e1
| op(e2,e0) != e1
| op(e2,e2) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[145,3054,theory(equality)]),theory(equality)]) ).
cnf(3081,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2261,3061,theory(equality)]),97]) ).
cnf(3082,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e2,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[111,3061,theory(equality)]),97]) ).
cnf(3089,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e0,e3) != e1
| op(e0,e0) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[144,3061,theory(equality)]),theory(equality)]) ).
cnf(3115,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[3063,780,127]) ).
cnf(3159,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e0,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[62,3082,theory(equality)]) ).
cnf(3161,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[566,3082,theory(equality)]),97]) ).
cnf(4481,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[802,665]) ).
cnf(4482,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e2) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[1348,4481]) ).
cnf(4488,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e2) != e1 ),
inference('PARAMODULATE',[status(thm)],[61,4481,theory(equality)]) ).
cnf(4514,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[4488,4482]) ).
cnf(4526,plain,
( op(e1,e0) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3161,4514,theory(equality)]),101,97]) ).
cnf(4646,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[184,674]) ).
cnf(4647,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[185,4646]) ).
cnf(5765,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e3,e3) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[123,1277]) ).
cnf(7111,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e0
| op(e1,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[343,5765]) ).
cnf(7116,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e0,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1522,7111,theory(equality)]),98]) ).
cnf(7139,plain,
( op(e0,e1) = e2
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e0,e1) = e0
| op(e2,e1) != e0
| op(e2,e2) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[139,7116,theory(equality)]),theory(equality)]) ).
cnf(7174,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[536,1418]) ).
cnf(7182,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e2,e1) != e0
| op(e2,e2) != e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[139,7174,theory(equality)]),theory(equality)]) ).
cnf(7227,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[188,1424,theory(equality)]),101,97]) ).
cnf(7232,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e1,e2) != e0 ),
inference('PARAMODULATE',[status(thm)],[64,7227,theory(equality)]) ).
cnf(7256,plain,
( op(e0,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e2) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7232,731,theory(equality)]),97,theory(equality)]) ).
cnf(7850,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1757,2378,theory(equality)]),97]) ).
cnf(7857,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4647,7850,theory(equality)]),99]) ).
cnf(7896,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4526,7857,theory(equality)]),101]) ).
cnf(7910,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[3089,19,3054]) ).
cnf(8199,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e1) = e2
| op(e1,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[7139,740,127]) ).
cnf(8213,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e2 ),
inference('HYPERRESOLVE',[status(thm)],[7182,740,127]) ).
cnf(8225,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e0) = e3
| op(e0,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7174,8213,theory(equality)]),102,99]) ).
cnf(8232,plain,
( op(e0,e1) = e0
| op(e0,e0) = e3
| op(e0,e0) = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[186,8225,theory(equality)]),98,99]) ).
cnf(8516,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e0 ),
inference('HYPERRESOLVE',[status(thm)],[3159,7910]) ).
cnf(8525,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e1) != e3
| op(e0,e0) != e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[158,8516,theory(equality)]),theory(equality)]) ).
cnf(8628,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[127,2213,theory(equality)]),101]) ).
cnf(8706,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e0) = e3
| op(e0,e1) = e2
| op(e1,e1) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7116,8199,theory(equality)]),101,99,102]) ).
cnf(8712,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e0,e0) = e3
| op(e0,e1) = e2
| op(e0,e1) != e1 ),
inference('PARAMODULATE',[status(thm)],[55,8706,theory(equality)]) ).
cnf(8983,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference('HYPERRESOLVE',[status(thm)],[8525,7896,3054]) ).
cnf(8994,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8712,8983,theory(equality)]),100,97,theory(equality)]) ).
cnf(9002,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e1,e0) != e0 ),
inference('PARAMODULATE',[status(thm)],[79,8994,theory(equality)]) ).
cnf(9006,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e1,e0) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3115,8994,theory(equality)]),99]) ).
cnf(9044,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e3
| op(e1,e1) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[182,8628]) ).
cnf(9050,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e0
| op(e1,e0) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3081,9044,theory(equality)]),99]) ).
cnf(9056,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e0) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9006,9050,theory(equality)]),101]) ).
cnf(9057,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference('HYPERRESOLVE',[status(thm)],[9002,9056]) ).
cnf(9065,plain,
op(e0,e0) = e1,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3054,9057,theory(equality)]),101,102]) ).
cnf(9072,plain,
op(e1,e0) != e1,
inference('REWRITE',[status(thm)],[49,9065,theory(equality)]) ).
cnf(9074,plain,
( op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference('REWRITE',[status(thm)],[27,9072]) ).
cnf(9298,plain,
op(e2,e0) != e1,
inference('REWRITE',[status(thm)],[50,9065,theory(equality)]) ).
cnf(9299,plain,
( op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference('REWRITE',[status(thm)],[9,9298]) ).
cnf(10153,plain,
op(e0,e2) != e1,
inference('REWRITE',[status(thm)],[74,9065,theory(equality)]) ).
cnf(10555,plain,
op(e0,e3) != e1,
inference('REWRITE',[status(thm)],[75,9065,theory(equality)]) ).
cnf(10922,plain,
( op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference('REWRITE',[status(thm)],[119,100,9065,theory(equality)]) ).
cnf(11131,plain,
( op(e1,e3) = e1
| op(e2,e2) = e3
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e2) != e0 ),
inference('REWRITE',[status(thm)],[1250,101,10555,9065,theory(equality)]) ).
cnf(12192,plain,
( op(e0,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[7256,10153,101,9065,theory(equality)]) ).
cnf(12412,plain,
op(e0,e1) = e0,
inference('REWRITE',[status(thm)],[8232,100,101,9065,theory(equality)]) ).
cnf(12414,plain,
op(e1,e1) != e0,
inference('REWRITE',[status(thm)],[55,12412,theory(equality)]) ).
cnf(12432,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e3) != e0 ),
inference('REWRITE',[status(thm)],[724,12414]) ).
cnf(12434,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e0) != e0 ),
inference('REWRITE',[status(thm)],[726,12414]) ).
cnf(12437,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e3,e2) != e0 ),
inference('REWRITE',[status(thm)],[743,12414]) ).
cnf(12449,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e2) = e0
| op(e2,e1) != e2 ),
inference('REWRITE',[status(thm)],[1107,12414]) ).
cnf(12712,plain,
( op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference('REWRITE',[status(thm)],[12192,12414]) ).
cnf(12740,plain,
op(e2,e1) != e0,
inference('REWRITE',[status(thm)],[56,12412,theory(equality)]) ).
cnf(12741,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference('REWRITE',[status(thm)],[10,12740]) ).
cnf(12825,plain,
( op(e2,e0) = e0
| op(e3,e2) != e0 ),
inference('REWRITE',[status(thm)],[12437,12740]) ).
cnf(12854,plain,
op(e3,e1) != e0,
inference('REWRITE',[status(thm)],[57,12412,theory(equality)]) ).
cnf(12855,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[14,12854]) ).
cnf(13000,plain,
op(e0,e2) != e0,
inference('REWRITE',[status(thm)],[76,12412,theory(equality)]) ).
cnf(13051,plain,
( op(e1,e2) = e0
| op(e2,e3) != e0 ),
inference('REWRITE',[status(thm)],[12432,13000]) ).
cnf(13052,plain,
( op(e1,e2) = e0
| op(e2,e0) != e0 ),
inference('REWRITE',[status(thm)],[12434,13000]) ).
cnf(13076,plain,
op(e1,e1) = e3,
inference('REWRITE',[status(thm)],[12712,13000]) ).
cnf(13077,plain,
op(e2,e1) != e3,
inference('REWRITE',[status(thm)],[58,13076,theory(equality)]) ).
cnf(13138,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference('REWRITE',[status(thm)],[12741,13077]) ).
cnf(13149,plain,
op(e3,e1) != e3,
inference('REWRITE',[status(thm)],[59,13076,theory(equality)]) ).
cnf(13221,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2 ),
inference('REWRITE',[status(thm)],[12855,13149]) ).
cnf(13373,plain,
op(e1,e3) != e3,
inference('REWRITE',[status(thm)],[83,13076,theory(equality)]) ).
cnf(13376,plain,
( op(e0,e3) = e3
| op(e2,e3) = e3
| op(e3,e2) != e3 ),
inference('REWRITE',[status(thm)],[456,13373]) ).
cnf(13482,plain,
( op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference('REWRITE',[status(thm)],[9074,101,13076,theory(equality)]) ).
cnf(13508,plain,
op(e3,e3) = e2,
inference('REWRITE',[status(thm)],[10922,102,13076,theory(equality)]) ).
cnf(13509,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0 ),
inference('REWRITE',[status(thm)],[42,98,13508,theory(equality)]) ).
cnf(13510,plain,
op(e0,e3) != e2,
inference('REWRITE',[status(thm)],[69,13508,theory(equality)]) ).
cnf(13511,plain,
( op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e2) != e2 ),
inference('REWRITE',[status(thm)],[434,13510]) ).
cnf(13512,plain,
( op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e1) != e2 ),
inference('REWRITE',[status(thm)],[435,13510]) ).
cnf(13545,plain,
( op(e1,e3) = e1
| op(e2,e2) = e3
| op(e1,e3) = e2
| op(e2,e2) != e0 ),
inference('REWRITE',[status(thm)],[11131,13510]) ).
cnf(13554,plain,
( op(e1,e3) = e2
| op(e2,e2) = e0
| op(e2,e1) != e2 ),
inference('REWRITE',[status(thm)],[12449,13510]) ).
cnf(13631,plain,
op(e1,e3) != e2,
inference('REWRITE',[status(thm)],[71,13508,theory(equality)]) ).
cnf(13633,plain,
( op(e2,e3) = e2
| op(e3,e2) != e2 ),
inference('REWRITE',[status(thm)],[13511,13631]) ).
cnf(13634,plain,
( op(e2,e3) = e2
| op(e3,e1) != e2 ),
inference('REWRITE',[status(thm)],[13512,13631]) ).
cnf(13653,plain,
( op(e1,e3) = e1
| op(e2,e2) = e3
| op(e2,e2) != e0 ),
inference('REWRITE',[status(thm)],[13545,13631]) ).
cnf(13662,plain,
( op(e2,e2) = e0
| op(e2,e1) != e2 ),
inference('REWRITE',[status(thm)],[13554,13631]) ).
cnf(13720,plain,
op(e2,e3) != e2,
inference('REWRITE',[status(thm)],[72,13508,theory(equality)]) ).
cnf(13721,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e3 ),
inference('REWRITE',[status(thm)],[12,13720]) ).
cnf(13731,plain,
op(e3,e2) != e2,
inference('REWRITE',[status(thm)],[13633,13720]) ).
cnf(13732,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference('REWRITE',[status(thm)],[15,13731]) ).
cnf(13771,plain,
op(e3,e1) != e2,
inference('REWRITE',[status(thm)],[13634,13720]) ).
cnf(13772,plain,
op(e3,e1) = e1,
inference('REWRITE',[status(thm)],[13221,13771]) ).
cnf(13773,plain,
op(e2,e1) != e1,
inference('REWRITE',[status(thm)],[60,13772,theory(equality)]) ).
cnf(13779,plain,
op(e2,e1) = e2,
inference('REWRITE',[status(thm)],[13138,13773]) ).
cnf(13780,plain,
op(e2,e0) != e2,
inference('REWRITE',[status(thm)],[85,13779,theory(equality)]) ).
cnf(13782,plain,
( op(e2,e0) = e0
| op(e2,e0) = e3 ),
inference('REWRITE',[status(thm)],[9299,13780]) ).
cnf(13853,plain,
op(e2,e2) = e0,
inference('REWRITE',[status(thm)],[13662,13779,theory(equality)]) ).
cnf(13854,plain,
op(e1,e2) != e0,
inference('REWRITE',[status(thm)],[64,13853,theory(equality)]) ).
cnf(13855,plain,
op(e2,e3) != e0,
inference('REWRITE',[status(thm)],[13051,13854]) ).
cnf(13856,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0 ),
inference('REWRITE',[status(thm)],[13509,13855]) ).
cnf(13857,plain,
( op(e2,e3) = e1
| op(e2,e3) = e3 ),
inference('REWRITE',[status(thm)],[13721,13855]) ).
cnf(13863,plain,
op(e2,e0) != e0,
inference('REWRITE',[status(thm)],[13052,13854]) ).
cnf(13864,plain,
op(e3,e2) != e0,
inference('REWRITE',[status(thm)],[12825,13863]) ).
cnf(13869,plain,
( op(e3,e2) = e1
| op(e3,e2) = e3 ),
inference('REWRITE',[status(thm)],[13732,13864]) ).
cnf(13876,plain,
op(e2,e0) = e3,
inference('REWRITE',[status(thm)],[13782,13863]) ).
cnf(13882,plain,
op(e2,e3) != e3,
inference('REWRITE',[status(thm)],[87,13876,theory(equality)]) ).
cnf(13883,plain,
( op(e0,e3) = e3
| op(e3,e2) != e3 ),
inference('REWRITE',[status(thm)],[13376,13882]) ).
cnf(13884,plain,
op(e2,e3) = e1,
inference('REWRITE',[status(thm)],[13857,13882]) ).
cnf(13885,plain,
op(e1,e3) != e1,
inference('REWRITE',[status(thm)],[70,13884,theory(equality)]) ).
cnf(13886,plain,
op(e1,e2) = e1,
inference('REWRITE',[status(thm)],[13482,13885]) ).
cnf(13887,plain,
op(e3,e2) != e1,
inference('REWRITE',[status(thm)],[65,13886,theory(equality)]) ).
cnf(13888,plain,
op(e3,e2) = e3,
inference('REWRITE',[status(thm)],[13869,13887]) ).
cnf(13889,plain,
op(e0,e3) = e3,
inference('REWRITE',[status(thm)],[13883,13888,theory(equality)]) ).
cnf(13890,plain,
op(e1,e3) = e0,
inference('REWRITE',[status(thm)],[13856,99,13889,theory(equality)]) ).
cnf(13891,plain,
$false,
inference('REWRITE',[status(thm)],[13653,99,97,13890,13853,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG139+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 06:55:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T06:55:36
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-09T06:55:36
% 149.44/149.65
% 149.44/149.65
% 149.44/149.65 #||
% 149.44/149.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 149.44/149.65 % SZS output start Refutation
% See solution above
% 149.50/149.68 ||#
% 149.50/149.68
% 149.50/149.68 ; Summary of computation:
% 149.50/149.68 ; 172042 formulas have been input or derived (from 3382 formulas).
% 149.50/149.68 ; 13891 ( 8%) were retained. Of these,
% 149.50/149.68 ; 13868 (100%) were simplified or subsumed later,
% 149.50/149.68 ; 23 ( 0%) are still being kept.
% 149.50/149.68 ;
% 149.50/149.68 ; Run time in seconds excluding printing time:
% 149.50/149.68 ; 0.025 0% Read assertion file (1 call)
% 149.50/149.68 ; 0.018 0% Assert (29 calls)
% 149.50/149.68 ; 1.969 1% Process new row (169,724 calls)
% 149.50/149.68 ; 1.952 1% Resolution (6,762 calls)
% 149.50/149.68 ; 6.644 4% Paramodulation (3,381 calls)
% 149.50/149.68 ; 0.010 0% Factoring (675 calls)
% 149.50/149.68 ; 0.164 0% Condensing (77,846 calls)
% 149.50/149.68 ; 79.430 53% Forward subsumption (77,846 calls)
% 149.50/149.68 ; 3.593 2% Backward subsumption (13,787 calls)
% 149.50/149.68 ; 38.361 26% Clause clause subsumption (5,403,825 calls)
% 149.50/149.68 ; 10.153 7% Forward simplification (158,122 calls)
% 149.50/149.68 ; 0.867 1% Backward simplification (13,891 calls)
% 149.50/149.68 ; 5.279 4% Ordering (3,819,418 calls)
% 149.50/149.68 ; 0.000 0% Sortal reasoning (32 calls)
% 149.50/149.68 ; 0.000 0% Purity testing (1 call)
% 149.50/149.68 ; 0.705 0% Other
% 149.50/149.68 ; 149.170 Total
% 149.50/149.68 ; 149.198 Real time
% 149.50/149.68 ;
% 149.50/149.68 ; Term-hash-array has 166 terms in all.
% 149.50/149.68 ; Feature-vector-row-index has 0 entries (6,215 at peak, 13,787 added, 13,787 deleted).
% 149.50/149.68 ; Feature-vector-row-index has 1 node (29,751 at peak, 69,975 added, 69,974 deleted).
% 149.50/149.68 ; Retrieved 10,572,624 possibly forward subsuming rows in 77,846 calls.
% 149.50/149.68 ; Retrieved 532,034 possibly backward subsumed rows in 13,787 calls.
% 149.50/149.68 ; Path-index has 42 entries (170 at peak, 173 added, 131 deleted).
% 149.50/149.68 ; Path-index has 44 nodes (76 at peak, 76 added, 32 deleted).
% 149.50/149.68 ; Trie-index has 42 entries (170 at peak, 173 added, 131 deleted).
% 149.50/149.68 ; Trie-index has 73 nodes (326 at peak, 329 added, 256 deleted).
% 149.50/149.68 ; Retrieved 96,987 generalization terms in 1,386,828 calls.
% 149.50/149.68 ; Retrieved 103 instance terms in 103 calls.
% 149.50/149.68 ; Retrieved 15,851 unifiable terms in 24,414 calls.
% 149.50/149.68 ;
% 149.50/149.68 ; The agenda of backward simplifiable rows to process has 1794 entries:
% 149.50/149.68 ; 1794 with value 0
% 149.50/149.68 ; The agenda of rows to process has 125 entries:
% 149.50/149.68 ; 2 with value 47 8 with value 60 11 with value 71
% 149.50/149.68 ; 1 with value 49 4 with value 63 14 with value 74
% 149.50/149.68 ; 4 with value 50 17 with value 64 18 with value 77
% 149.50/149.68 ; 9 with value 53 12 with value 67 7 with value 84
% 149.50/149.68 ; 8 with value 56 10 with value 70
% 149.50/149.68 ; The agenda of input rows to give has 10 entries:
% 149.50/149.68 ; 10 with value 7
% 149.50/149.68 ; The agenda of rows to give has 6 entries:
% 149.50/149.68 ; 1 with value (4 8) 1 with value (4 10) 1 with value (4 16)
% 149.50/149.68 ; 1 with value (4 9) 1 with value (4 14) 1 with value (4 35)
% 149.50/149.68 Evaluation took:
% 149.50/149.68 149.198 seconds of real time
% 149.50/149.68 137.73538 seconds of user run time
% 149.50/149.68 11.469478 seconds of system run time
% 149.50/149.68 [Run times include 8.689 seconds GC run time.]
% 149.50/149.68 0 calls to %EVAL
% 149.50/149.68 0 page faults and
% 149.50/149.68 17,611,403,104 bytes consed.
% 149.50/149.68 :PROOF-FOUND
% 149.50/149.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T06:58:05
% 149.50/149.68 :PROOF-FOUND
% 149.50/149.68 *
%------------------------------------------------------------------------------