TSTP Solution File: ALG061+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG061+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 17:59:46 EDT 2022
% Result : Theorem 1.46s 1.68s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 91
% Syntax : Number of clauses : 225 ( 148 unt; 77 nHn; 225 RR)
% Number of literals : 425 ( 424 equ; 116 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(9,axiom,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(17,axiom,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(18,axiom,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(20,axiom,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(27,axiom,
op(e0,unit) = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(28,axiom,
op(unit,e1) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(29,axiom,
op(e1,unit) = e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(33,axiom,
op(e3,unit) = e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(35,axiom,
op(e4,unit) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(36,axiom,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(48,axiom,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(59,axiom,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(76,axiom,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(77,axiom,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(88,axiom,
op(e0,e0) != op(e2,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(89,axiom,
op(e0,e0) != op(e3,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(90,axiom,
op(e0,e0) != op(e4,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(91,axiom,
op(e1,e0) != op(e2,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(94,axiom,
op(e2,e0) != op(e3,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(96,axiom,
op(e3,e0) != op(e4,e0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(98,axiom,
op(e0,e1) != op(e2,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(101,axiom,
op(e1,e1) != op(e2,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(102,axiom,
op(e1,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(103,axiom,
op(e1,e1) != op(e4,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(104,axiom,
op(e2,e1) != op(e3,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(105,axiom,
op(e2,e1) != op(e4,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(107,axiom,
op(e0,e2) != op(e1,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(108,axiom,
op(e0,e2) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(109,axiom,
op(e0,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(112,axiom,
op(e1,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(113,axiom,
op(e1,e2) != op(e4,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(114,axiom,
op(e2,e2) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(117,axiom,
op(e0,e3) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(119,axiom,
op(e0,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(122,axiom,
op(e1,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(124,axiom,
op(e2,e3) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(126,axiom,
op(e3,e3) != op(e4,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(127,axiom,
op(e0,e4) != op(e1,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(129,axiom,
op(e0,e4) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(130,axiom,
op(e0,e4) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(131,axiom,
op(e1,e4) != op(e2,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(132,axiom,
op(e1,e4) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(133,axiom,
op(e1,e4) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(136,axiom,
op(e3,e4) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(137,axiom,
op(e0,e0) != op(e0,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(139,axiom,
op(e0,e0) != op(e0,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(140,axiom,
op(e0,e0) != op(e0,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(141,axiom,
op(e0,e1) != op(e0,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(143,axiom,
op(e0,e1) != op(e0,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(144,axiom,
op(e0,e2) != op(e0,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(145,axiom,
op(e0,e2) != op(e0,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(146,axiom,
op(e0,e3) != op(e0,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(147,axiom,
op(e1,e0) != op(e1,e1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(152,axiom,
op(e1,e1) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(153,axiom,
op(e1,e1) != op(e1,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(154,axiom,
op(e1,e2) != op(e1,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(155,axiom,
op(e1,e2) != op(e1,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(158,axiom,
op(e2,e0) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(159,axiom,
op(e2,e0) != op(e2,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(161,axiom,
op(e2,e1) != op(e2,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(168,axiom,
op(e3,e0) != op(e3,e2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(169,axiom,
op(e3,e0) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(172,axiom,
op(e3,e1) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(173,axiom,
op(e3,e1) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(174,axiom,
op(e3,e2) != op(e3,e3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(176,axiom,
op(e3,e3) != op(e3,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(183,axiom,
op(e4,e1) != op(e4,e4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(187,axiom,
e0 != e1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(188,axiom,
e0 != e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(189,axiom,
e0 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(190,axiom,
e0 != e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(191,axiom,
e1 != e2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(192,axiom,
e1 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(193,axiom,
e1 != e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(194,axiom,
e2 != e3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(195,axiom,
e2 != e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(197,axiom,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(198,axiom,
e2 = op(op(e1,e1),op(e1,e1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(199,axiom,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(200,plain,
op(e2,e2) = e3,
inference('REWRITE',[status(thm)],[199,198,theory(equality)]) ).
cnf(201,axiom,
op(e1,e1) = e4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(202,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(203,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
inference('REWRITE',[status(thm)],[202,189,200,190,201,theory(equality)]) ).
cnf(204,negated_conjecture,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(205,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
inference('REWRITE',[status(thm)],[204,192,200,193,201,theory(equality)]) ).
cnf(239,negated_conjecture,
( op(e1,op(e0,e1)) = e0
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(279,negated_conjecture,
( op(e0,op(e0,e4)) != e4
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(289,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference('REWRITE',[status(thm)],[48,190,201,theory(equality)]) ).
cnf(299,plain,
op(e2,e1) != e4,
inference('REWRITE',[status(thm)],[101,201,theory(equality)]) ).
cnf(300,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference('REWRITE',[status(thm)],[12,299]) ).
cnf(301,plain,
op(e3,e1) != e4,
inference('REWRITE',[status(thm)],[102,201,theory(equality)]) ).
cnf(302,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[17,301]) ).
cnf(304,plain,
op(e4,e1) != e4,
inference('REWRITE',[status(thm)],[103,201,theory(equality)]) ).
cnf(307,plain,
op(e1,e0) != e4,
inference('REWRITE',[status(thm)],[147,201,theory(equality)]) ).
cnf(312,plain,
op(e1,e3) != e4,
inference('REWRITE',[status(thm)],[152,201,theory(equality)]) ).
cnf(313,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference('REWRITE',[status(thm)],[9,312]) ).
cnf(314,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[76,312]) ).
cnf(315,plain,
op(e1,e4) != e4,
inference('REWRITE',[status(thm)],[153,201,theory(equality)]) ).
cnf(316,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[10,315]) ).
cnf(318,plain,
op(e4,e4) = e2,
inference('REWRITE',[status(thm)],[198,201,theory(equality)]) ).
cnf(319,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference('REWRITE',[status(thm)],[77,188,318,theory(equality)]) ).
cnf(325,plain,
op(e0,e4) != e2,
inference('REWRITE',[status(thm)],[130,318,theory(equality)]) ).
cnf(326,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference('REWRITE',[status(thm)],[5,325]) ).
cnf(328,plain,
op(e1,e4) != e2,
inference('REWRITE',[status(thm)],[133,318,theory(equality)]) ).
cnf(330,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[316,328]) ).
cnf(333,plain,
op(e3,e4) != e2,
inference('REWRITE',[status(thm)],[136,318,theory(equality)]) ).
cnf(334,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference('REWRITE',[status(thm)],[20,333]) ).
cnf(339,plain,
op(e4,e1) != e2,
inference('REWRITE',[status(thm)],[183,318,theory(equality)]) ).
cnf(347,plain,
( op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference('REWRITE',[status(thm)],[203,188,318,theory(equality)]) ).
cnf(348,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference('REWRITE',[status(thm)],[205,191,318,theory(equality)]) ).
cnf(353,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference('REWRITE',[status(thm)],[59,192,200,theory(equality)]) ).
cnf(359,plain,
op(e0,e2) != e3,
inference('REWRITE',[status(thm)],[108,200,theory(equality)]) ).
cnf(360,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[3,359]) ).
cnf(365,plain,
op(e3,e2) != e3,
inference('REWRITE',[status(thm)],[114,200,theory(equality)]) ).
cnf(366,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e4 ),
inference('REWRITE',[status(thm)],[18,365]) ).
cnf(371,plain,
op(e2,e0) != e3,
inference('REWRITE',[status(thm)],[158,200,theory(equality)]) ).
cnf(372,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[11,371]) ).
cnf(374,plain,
op(e2,e1) != e3,
inference('REWRITE',[status(thm)],[161,200,theory(equality)]) ).
cnf(376,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference('REWRITE',[status(thm)],[300,374]) ).
cnf(383,plain,
op(e1,e2) = e0,
inference('REWRITE',[status(thm)],[197,198,theory(equality)]) ).
cnf(384,plain,
op(e0,e2) != e0,
inference('REWRITE',[status(thm)],[107,383,theory(equality)]) ).
cnf(386,plain,
( op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[360,384]) ).
cnf(387,plain,
op(e3,e2) != e0,
inference('REWRITE',[status(thm)],[112,383,theory(equality)]) ).
cnf(389,plain,
( op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e4 ),
inference('REWRITE',[status(thm)],[366,387]) ).
cnf(390,plain,
op(e4,e2) != e0,
inference('REWRITE',[status(thm)],[113,383,theory(equality)]) ).
cnf(391,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e3) = e0 ),
inference('REWRITE',[status(thm)],[319,390]) ).
cnf(396,plain,
op(e1,e3) != e0,
inference('REWRITE',[status(thm)],[154,383,theory(equality)]) ).
cnf(398,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference('REWRITE',[status(thm)],[313,396]) ).
cnf(399,plain,
op(e1,e4) != e0,
inference('REWRITE',[status(thm)],[155,383,theory(equality)]) ).
cnf(401,plain,
( op(e1,e4) = e1
| op(e1,e4) = e3 ),
inference('REWRITE',[status(thm)],[330,399]) ).
cnf(451,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[35,36,theory(equality)]),195,318,theory(equality)]) ).
cnf(836,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e1,op(e0,e1)) = e0
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[239,289,theory(equality)]),307]) ).
cnf(1077,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e3,e3) = e3 ),
inference('PARAMODULATE',[status(thm)],[33,451,theory(equality)]) ).
cnf(1113,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e0) = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[348,1077,theory(equality)]),192]) ).
cnf(1114,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e0) = e0 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[347,1077,theory(equality)]),189]) ).
cnf(1244,plain,
( unit = e0
| unit = e1
| unit = e2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1113,1114,theory(equality)]),187]) ).
cnf(1247,plain,
( unit = e0
| unit = e1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,1244,theory(equality)]),365]) ).
cnf(1248,plain,
unit = e0,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[35,1247,theory(equality)]),304]) ).
cnf(1249,plain,
op(e0,e0) = e0,
inference('REWRITE',[status(thm)],[27,1248,theory(equality)]) ).
cnf(1252,plain,
op(e2,e0) != e0,
inference('REWRITE',[status(thm)],[88,1249,theory(equality)]) ).
cnf(1254,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[372,1252]) ).
cnf(1280,plain,
op(e3,e0) != e0,
inference('REWRITE',[status(thm)],[89,1249,theory(equality)]) ).
cnf(1281,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[16,1280]) ).
cnf(1315,plain,
op(e4,e0) != e0,
inference('REWRITE',[status(thm)],[90,1249,theory(equality)]) ).
cnf(1317,plain,
( op(e4,e1) = e0
| op(e4,e3) = e0 ),
inference('REWRITE',[status(thm)],[391,1315]) ).
cnf(1343,plain,
op(e0,e1) != e0,
inference('REWRITE',[status(thm)],[137,1249,theory(equality)]) ).
cnf(1368,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| op(e1,op(e0,e1)) = e0
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3 ),
inference('REWRITE',[status(thm)],[836,1343]) ).
cnf(1370,plain,
op(e0,e3) != e0,
inference('REWRITE',[status(thm)],[139,1249,theory(equality)]) ).
cnf(1371,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[4,1370]) ).
cnf(1404,plain,
op(e0,e4) != e0,
inference('REWRITE',[status(thm)],[140,1249,theory(equality)]) ).
cnf(1405,plain,
( op(e0,e4) = e1
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference('REWRITE',[status(thm)],[326,1404]) ).
cnf(1443,plain,
op(e3,e3) = e1,
inference('REWRITE',[status(thm)],[348,187,1249,theory(equality)]) ).
cnf(1444,plain,
op(e0,e3) != e1,
inference('REWRITE',[status(thm)],[119,1443,theory(equality)]) ).
cnf(1446,plain,
( op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[1371,1444]) ).
cnf(1461,plain,
op(e1,e3) != e1,
inference('REWRITE',[status(thm)],[122,1443,theory(equality)]) ).
cnf(1462,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference('REWRITE',[status(thm)],[398,1461]) ).
cnf(1491,plain,
op(e2,e3) != e1,
inference('REWRITE',[status(thm)],[124,1443,theory(equality)]) ).
cnf(1492,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e4) = e1 ),
inference('REWRITE',[status(thm)],[353,1491]) ).
cnf(1506,plain,
op(e4,e3) != e1,
inference('REWRITE',[status(thm)],[126,1443,theory(equality)]) ).
cnf(1516,plain,
op(e3,e0) != e1,
inference('REWRITE',[status(thm)],[169,1443,theory(equality)]) ).
cnf(1518,plain,
( op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference('REWRITE',[status(thm)],[1281,1516]) ).
cnf(1533,plain,
op(e3,e1) != e1,
inference('REWRITE',[status(thm)],[172,1443,theory(equality)]) ).
cnf(1535,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[302,1533]) ).
cnf(1555,plain,
op(e3,e2) != e1,
inference('REWRITE',[status(thm)],[174,1443,theory(equality)]) ).
cnf(1556,plain,
( op(e3,e2) = e2
| op(e3,e2) = e4 ),
inference('REWRITE',[status(thm)],[389,1555]) ).
cnf(1571,plain,
op(e3,e4) != e1,
inference('REWRITE',[status(thm)],[176,1443,theory(equality)]) ).
cnf(1573,plain,
( op(e3,e4) = e0
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference('REWRITE',[status(thm)],[334,1571]) ).
cnf(1589,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[314,193,1443,theory(equality)]) ).
cnf(1746,plain,
op(e0,e1) = e1,
inference('REWRITE',[status(thm)],[28,1248,theory(equality)]) ).
cnf(1747,plain,
op(e2,e1) != e1,
inference('REWRITE',[status(thm)],[98,1746,theory(equality)]) ).
cnf(1748,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference('REWRITE',[status(thm)],[376,1747]) ).
cnf(1752,plain,
( op(e2,e0) = e1
| op(e2,e4) = e1 ),
inference('REWRITE',[status(thm)],[1492,1747]) ).
cnf(1766,plain,
op(e0,e2) != e1,
inference('REWRITE',[status(thm)],[141,1746,theory(equality)]) ).
cnf(1767,plain,
( op(e0,e2) = e2
| op(e0,e2) = e4 ),
inference('REWRITE',[status(thm)],[386,1766]) ).
cnf(1803,plain,
op(e0,e4) != e1,
inference('REWRITE',[status(thm)],[143,1746,theory(equality)]) ).
cnf(1804,plain,
( op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference('REWRITE',[status(thm)],[1405,1803]) ).
cnf(1839,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3 ),
inference('REWRITE',[status(thm)],[1368,190,201,1746,theory(equality)]) ).
cnf(1864,plain,
op(e1,e0) = e1,
inference('REWRITE',[status(thm)],[29,1248,theory(equality)]) ).
cnf(1865,plain,
op(e2,e0) != e1,
inference('REWRITE',[status(thm)],[91,1864,theory(equality)]) ).
cnf(1866,plain,
( op(e2,e0) = e2
| op(e2,e0) = e4 ),
inference('REWRITE',[status(thm)],[1254,1865]) ).
cnf(1871,plain,
op(e2,e4) = e1,
inference('REWRITE',[status(thm)],[1752,1865]) ).
cnf(1872,plain,
op(e1,e4) != e1,
inference('REWRITE',[status(thm)],[131,1871,theory(equality)]) ).
cnf(1873,plain,
op(e1,e4) = e3,
inference('REWRITE',[status(thm)],[401,1872]) ).
cnf(1874,plain,
op(e0,e4) != e3,
inference('REWRITE',[status(thm)],[127,1873,theory(equality)]) ).
cnf(1875,plain,
op(e0,e4) = e4,
inference('REWRITE',[status(thm)],[1804,1874]) ).
cnf(1876,plain,
op(e3,e4) != e4,
inference('REWRITE',[status(thm)],[129,1875,theory(equality)]) ).
cnf(1878,plain,
( op(e3,e4) = e0
| op(e3,e4) = e3 ),
inference('REWRITE',[status(thm)],[1573,1876]) ).
cnf(1882,plain,
op(e0,e2) != e4,
inference('REWRITE',[status(thm)],[145,1875,theory(equality)]) ).
cnf(1884,plain,
op(e0,e2) = e2,
inference('REWRITE',[status(thm)],[1767,1882]) ).
cnf(1885,plain,
op(e3,e2) != e2,
inference('REWRITE',[status(thm)],[109,1884,theory(equality)]) ).
cnf(1886,plain,
op(e3,e2) = e4,
inference('REWRITE',[status(thm)],[1556,1885]) ).
cnf(1887,plain,
op(e3,e0) != e4,
inference('REWRITE',[status(thm)],[168,1886,theory(equality)]) ).
cnf(1890,plain,
( op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference('REWRITE',[status(thm)],[1518,1887]) ).
cnf(1894,plain,
op(e0,e3) != e2,
inference('REWRITE',[status(thm)],[144,1884,theory(equality)]) ).
cnf(1895,plain,
( op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference('REWRITE',[status(thm)],[1446,1894]) ).
cnf(1900,plain,
op(e0,e3) != e4,
inference('REWRITE',[status(thm)],[146,1875,theory(equality)]) ).
cnf(1901,plain,
( op(e2,e3) = e4
| op(e4,e3) = e4 ),
inference('REWRITE',[status(thm)],[1589,1900]) ).
cnf(1908,plain,
op(e0,e3) = e3,
inference('REWRITE',[status(thm)],[1895,1900]) ).
cnf(1909,plain,
op(e1,e3) != e3,
inference('REWRITE',[status(thm)],[117,1908,theory(equality)]) ).
cnf(1910,plain,
op(e1,e3) = e2,
inference('REWRITE',[status(thm)],[1462,1909]) ).
cnf(1931,plain,
op(e3,e4) != e3,
inference('REWRITE',[status(thm)],[132,1873,theory(equality)]) ).
cnf(1933,plain,
op(e3,e4) = e0,
inference('REWRITE',[status(thm)],[1878,1931]) ).
cnf(1934,plain,
op(e3,e1) != e0,
inference('REWRITE',[status(thm)],[173,1933,theory(equality)]) ).
cnf(1937,plain,
( op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference('REWRITE',[status(thm)],[1535,1934]) ).
cnf(1942,plain,
( op(e2,e1) = e0
| op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3 ),
inference('REWRITE',[status(thm)],[1839,1934]) ).
cnf(1948,plain,
op(e4,e0) = e3,
inference('REWRITE',[status(thm)],[279,1933,339,1506,1873,1875,1871,theory(equality)]) ).
cnf(1949,plain,
op(e3,e0) != e3,
inference('REWRITE',[status(thm)],[96,1948,theory(equality)]) ).
cnf(1950,plain,
op(e3,e0) = e2,
inference('REWRITE',[status(thm)],[1890,1949]) ).
cnf(1951,plain,
op(e2,e0) != e2,
inference('REWRITE',[status(thm)],[94,1950,theory(equality)]) ).
cnf(1952,plain,
op(e2,e0) = e4,
inference('REWRITE',[status(thm)],[1866,1951]) ).
cnf(1953,plain,
op(e2,e3) != e4,
inference('REWRITE',[status(thm)],[159,1952,theory(equality)]) ).
cnf(1954,plain,
op(e4,e3) = e4,
inference('REWRITE',[status(thm)],[1901,1953]) ).
cnf(1955,plain,
op(e4,e1) = e0,
inference('REWRITE',[status(thm)],[1317,190,1954,theory(equality)]) ).
cnf(1956,plain,
op(e2,e1) != e0,
inference('REWRITE',[status(thm)],[105,1955,theory(equality)]) ).
cnf(1957,plain,
op(e2,e1) = e2,
inference('REWRITE',[status(thm)],[1748,1956]) ).
cnf(1958,plain,
op(e3,e1) != e2,
inference('REWRITE',[status(thm)],[104,1957,theory(equality)]) ).
cnf(1959,plain,
op(e3,e1) = e3,
inference('REWRITE',[status(thm)],[1937,1958]) ).
cnf(1960,plain,
$false,
inference('REWRITE',[status(thm)],[1942,194,1910,1959,188,383,1957,1956,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG061+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 10:44:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T10:44:50
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-08T10:44:50
% 1.46/1.68
% 1.46/1.68
% 1.46/1.68 #||
% 1.46/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.68 % SZS output start Refutation
% See solution above
% 1.46/1.70 ||#
% 1.46/1.70
% 1.46/1.70 ; Summary of computation:
% 1.46/1.70 ; 3972 formulas have been input or derived (from 405 formulas).
% 1.46/1.70 ; 1960 (49%) were retained. Of these,
% 1.46/1.70 ; 1919 (98%) were simplified or subsumed later,
% 1.46/1.70 ; 41 ( 2%) are still being kept.
% 1.46/1.70 ;
% 1.46/1.70 ; Run time in seconds excluding printing time:
% 1.46/1.70 ; 0.037 3% Read assertion file (1 call)
% 1.46/1.70 ; 0.040 3% Assert (7 calls)
% 1.46/1.70 ; 0.136 11% Process new row (3,642 calls)
% 1.46/1.70 ; 0.012 1% Resolution (808 calls)
% 1.46/1.70 ; 0.059 5% Paramodulation (404 calls)
% 1.46/1.70 ; 0.000 0% Factoring (86 calls)
% 1.46/1.70 ; 0.001 0% Condensing (2,060 calls)
% 1.46/1.70 ; 0.473 39% Forward subsumption (2,060 calls)
% 1.46/1.70 ; 0.138 11% Backward subsumption (1,740 calls)
% 1.46/1.70 ; 0.026 2% Clause clause subsumption (8,092 calls)
% 1.46/1.70 ; 0.140 12% Forward simplification (3,615 calls)
% 1.46/1.70 ; 0.086 7% Backward simplification (1,956 calls)
% 1.46/1.70 ; 0.029 2% Ordering (19,860 calls)
% 1.46/1.70 ; 0.000 0% Sortal reasoning (32 calls)
% 1.46/1.70 ; 0.000 0% Purity testing (1 call)
% 1.46/1.70 ; 0.030 2% Other
% 1.46/1.70 ; 1.207 Total
% 1.46/1.70 ; 1.229 Real time
% 1.46/1.70 ;
% 1.46/1.70 ; Term-hash-array has 369 terms in all.
% 1.46/1.70 ; Feature-vector-row-index has 1 entry (955 at peak, 1,740 added, 1,739 deleted).
% 1.46/1.70 ; Feature-vector-row-index has 13 nodes (13,236 at peak, 22,067 added, 22,054 deleted).
% 1.46/1.70 ; Retrieved 4,979 possibly forward subsuming rows in 2,060 calls.
% 1.46/1.70 ; Retrieved 3,569 possibly backward subsumed rows in 1,740 calls.
% 1.46/1.70 ; Path-index has 73 entries (347 at peak, 427 added, 354 deleted).
% 1.46/1.70 ; Path-index has 68 nodes (88 at peak, 115 added, 47 deleted).
% 1.46/1.70 ; Trie-index has 73 entries (347 at peak, 427 added, 354 deleted).
% 1.46/1.70 ; Trie-index has 122 nodes (585 at peak, 745 added, 623 deleted).
% 1.46/1.70 ; Retrieved 2,487 generalization terms in 30,388 calls.
% 1.46/1.70 ; Retrieved 215 instance terms in 215 calls.
% 1.46/1.70 ; Retrieved 911 unifiable terms in 2,923 calls.
% 1.46/1.70 ;
% 1.46/1.70 ; The agenda of backward simplifiable rows to process has 312 entries:
% 1.46/1.70 ; 312 with value 0
% 1.46/1.70 ; The agenda of rows to process has 9 entries:
% 1.46/1.70 ; 8 with value 17 1 with value 18
% 1.46/1.70 ; The agenda of input rows to give has 23 entries:
% 1.46/1.70 ; 23 with value 7
% 1.46/1.70 ; The agenda of rows to give has 2 entries:
% 1.46/1.70 ; 1 with value (4 10) 1 with value (4 18)
% 1.46/1.70 Evaluation took:
% 1.46/1.70 1.229 seconds of real time
% 1.46/1.70 1.144753 seconds of user run time
% 1.46/1.70 0.083866 seconds of system run time
% 1.46/1.70 [Run times include 0.067 seconds GC run time.]
% 1.46/1.70 0 calls to %EVAL
% 1.46/1.70 0 page faults and
% 1.46/1.70 143,730,696 bytes consed.
% 1.46/1.70 :PROOF-FOUND
% 1.46/1.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T10:44:51
% 1.46/1.70 :PROOF-FOUND
% 1.46/1.70 *
%------------------------------------------------------------------------------