TSTP Solution File: ALG015+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 17:59:37 EDT 2022
% Result : Theorem 3.45s 3.62s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 101
% Syntax : Number of clauses : 263 ( 209 unt; 43 nHn; 263 RR)
% Number of literals : 513 ( 512 equ; 232 neg)
% Maximal clause size : 20 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(9,axiom,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(14,axiom,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(57,axiom,
op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(58,axiom,
op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(59,axiom,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(60,axiom,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(63,axiom,
op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(64,axiom,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(78,axiom,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(80,axiom,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(104,axiom,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(108,axiom,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(115,axiom,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(116,axiom,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(128,axiom,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(129,axiom,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(131,axiom,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(147,axiom,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(148,axiom,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(149,axiom,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(151,axiom,
op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(152,axiom,
op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(154,axiom,
op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(155,axiom,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(160,axiom,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(161,axiom,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(165,axiom,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(166,axiom,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(167,axiom,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(168,axiom,
op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(170,axiom,
op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(171,axiom,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(173,axiom,
op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(176,axiom,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(179,axiom,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(181,axiom,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(249,axiom,
op1(e10,e10) != op1(e11,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(252,axiom,
op1(e11,e10) != op1(e12,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(257,axiom,
op1(e10,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(258,axiom,
op1(e11,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(260,axiom,
op1(e12,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(261,axiom,
op1(e10,e12) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(271,axiom,
op1(e11,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(274,axiom,
op1(e10,e10) != op1(e10,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(280,axiom,
op1(e11,e10) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(285,axiom,
op1(e12,e10) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(287,axiom,
op1(e12,e10) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(289,axiom,
op1(e12,e11) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(290,axiom,
op1(e12,e12) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(295,axiom,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(305,axiom,
op2(e20,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(309,axiom,
op2(e20,e22) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(311,axiom,
op2(e20,e22) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(312,axiom,
op2(e21,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(313,axiom,
op2(e21,e22) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(318,axiom,
op2(e21,e23) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(322,axiom,
op2(e20,e20) != op2(e20,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(328,axiom,
op2(e21,e20) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(338,axiom,
op2(e22,e22) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(339,axiom,
op2(e23,e20) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(343,axiom,
op2(e23,e21) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(344,axiom,
op2(e23,e22) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
cnf(345,axiom,
e10 != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
cnf(346,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
cnf(347,axiom,
e10 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
cnf(351,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
cnf(352,axiom,
e20 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
cnf(353,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
cnf(419,axiom,
( op1(e10,e10) = e10
| op1(e12,e12) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
cnf(467,axiom,
( op1(e11,e11) = e10
| op1(e12,e12) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
cnf(536,axiom,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
cnf(671,axiom,
( op2(e20,e20) = e20
| op2(e22,e22) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
cnf(729,axiom,
( op2(e21,e21) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
cnf(783,axiom,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
cnf(877,axiom,
op1(e13,e13) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
cnf(878,axiom,
op1(e12,e13) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
cnf(879,axiom,
op2(e23,e23) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
cnf(880,axiom,
op2(e22,e23) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
cnf(883,axiom,
h1(e10) = op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
cnf(884,axiom,
h1(e11) = op2(e20,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
cnf(887,axiom,
h2(e10) = op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
cnf(888,axiom,
h2(e11) = op2(e20,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
cnf(893,axiom,
h3(e11) = op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
cnf(896,axiom,
h4(e10) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
cnf(897,axiom,
h4(e11) = op2(e21,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
cnf(902,axiom,
h5(e11) = op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
cnf(907,axiom,
h6(e11) = op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
cnf(912,axiom,
h7(e11) = op2(e22,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
cnf(917,axiom,
h8(e11) = op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
cnf(926,axiom,
h10(e10) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
cnf(927,plain,
h10(e10) = h4(e10),
inference('REWRITE',[status(thm)],[926,896,theory(equality)]) ).
cnf(928,axiom,
h10(e11) = op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
cnf(929,axiom,
h11(e12) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
cnf(930,axiom,
h11(e13) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
cnf(931,axiom,
h11(e10) = op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
cnf(932,plain,
h11(e10) = h1(e10),
inference('REWRITE',[status(thm)],[931,883,theory(equality)]) ).
cnf(933,axiom,
h11(e11) = op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
cnf(936,axiom,
h12(e10) = op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
cnf(937,plain,
h12(e10) = h2(e10),
inference('REWRITE',[status(thm)],[936,887,theory(equality)]) ).
cnf(938,axiom,
h12(e11) = op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
cnf(1499,negated_conjecture,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(e10) != e20
| h11(e13) != e21
| h11(e11) != e22
| h11(e12) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(1500,plain,
( h11(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h11(op1(e10,e11)) != op2(h1(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h1(e10),e23)
| h11(op1(e10,e13)) != op2(h1(e10),e21)
| h11(op1(e11,e10)) != op2(h11(e11),h1(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),e23)
| h11(op1(e11,e13)) != op2(h11(e11),e21)
| h11(op1(e12,e10)) != op2(e23,h1(e10))
| h11(op1(e12,e11)) != op2(e23,h11(e11))
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != op2(e21,h1(e10))
| h11(op1(e13,e11)) != op2(e21,h11(e11))
| h11(op1(e13,e12)) != h6(e11)
| h1(e10) != e20
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[1499,883,877,907,933,878,879,930,929,932,theory(equality)]) ).
cnf(1609,plain,
( h12(e11) = e20
| h12(e11) = e21
| h12(e11) = e22
| h12(e11) = e23 ),
inference('REWRITE',[status(thm)],[116,938,theory(equality)]) ).
cnf(1610,plain,
h12(e10) = op2(e22,e22),
inference('REWRITE',[status(thm)],[887,937,theory(equality)]) ).
cnf(1637,plain,
( h11(e11) = e20
| h11(e11) = e21
| h11(e11) = e22
| h11(e11) = e23 ),
inference('REWRITE',[status(thm)],[115,933,theory(equality)]) ).
cnf(1640,plain,
h10(e11) != h11(e11),
inference('REWRITE',[status(thm)],[339,933,928,theory(equality)]) ).
cnf(1642,plain,
h10(e10) = op2(e20,e20),
inference('REWRITE',[status(thm)],[896,927,theory(equality)]) ).
cnf(1681,plain,
op2(h6(e11),e21) = op2(e21,h11(e11)),
inference('REWRITE',[status(thm)],[147,933,907,theory(equality)]) ).
cnf(1683,plain,
op2(h6(e11),e22) = op2(e21,h12(e11)),
inference('REWRITE',[status(thm)],[148,938,907,theory(equality)]) ).
cnf(1685,plain,
op2(h11(e11),e23) = op2(e23,h6(e11)),
inference('REWRITE',[status(thm)],[173,933,907,theory(equality)]) ).
cnf(1687,plain,
( h5(e11) = e20
| h5(e11) = e21
| h5(e11) = e22
| h5(e11) = e23 ),
inference('REWRITE',[status(thm)],[108,902,theory(equality)]) ).
cnf(1700,plain,
h5(e11) != h12(e11),
inference('REWRITE',[status(thm)],[313,938,902,theory(equality)]) ).
cnf(1703,plain,
op2(h8(e11),e20) = op2(e22,h4(e11)),
inference('REWRITE',[status(thm)],[154,917,897,theory(equality)]) ).
cnf(1704,plain,
op2(h11(e11),e20) = op2(e23,h4(e11)),
inference('REWRITE',[status(thm)],[170,933,897,theory(equality)]) ).
cnf(1707,plain,
h4(e11) != h5(e11),
inference('REWRITE',[status(thm)],[328,902,897,theory(equality)]) ).
cnf(1721,plain,
op2(h10(e11),e20) = op2(e23,h10(e10)),
inference('REWRITE',[status(thm)],[166,927,928,896,theory(equality)]) ).
cnf(1734,plain,
op2(h3(e11),e21) = op2(e20,h11(e11)),
inference('REWRITE',[status(thm)],[131,933,893,theory(equality)]) ).
cnf(1742,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[104,888,theory(equality)]) ).
cnf(1755,plain,
op2(h7(e11),e22) = op2(e22,h2(e11)),
inference('REWRITE',[status(thm)],[152,912,888,theory(equality)]) ).
cnf(1760,plain,
op2(h10(e11),e22) = op2(e23,h2(e11)),
inference('REWRITE',[status(thm)],[168,928,888,theory(equality)]) ).
cnf(1761,plain,
h2(e11) != h5(e11),
inference('REWRITE',[status(thm)],[309,902,888,theory(equality)]) ).
cnf(1762,plain,
h2(e11) != h12(e11),
inference('REWRITE',[status(thm)],[311,938,888,theory(equality)]) ).
cnf(1763,plain,
h10(e10) != h2(e11),
inference('REWRITE',[status(thm)],[322,1642,888,theory(equality)]) ).
cnf(1766,plain,
op2(h2(e11),e22) = op2(e20,h12(e10)),
inference('REWRITE',[status(thm)],[128,937,888,887,theory(equality)]) ).
cnf(1786,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference('REWRITE',[status(thm)],[160,937,887,theory(equality)]) ).
cnf(1787,plain,
op2(h12(e11),e22) = op2(e23,h12(e10)),
inference('REWRITE',[status(thm)],[176,937,938,887,theory(equality)]) ).
cnf(1793,plain,
h5(e11) != h12(e10),
inference('REWRITE',[status(thm)],[312,937,902,887,theory(equality)]) ).
cnf(1808,plain,
( h12(e10) = e20
| h12(e10) = e21
| h10(e10) = e22
| h10(e10) = e23 ),
inference('REWRITE',[status(thm)],[783,1642,937,887,theory(equality)]) ).
cnf(1830,plain,
op2(h7(e11),e21) = op2(e22,h1(e11)),
inference('REWRITE',[status(thm)],[151,912,884,theory(equality)]) ).
cnf(1831,plain,
op2(h10(e11),e21) = op2(e23,h1(e11)),
inference('REWRITE',[status(thm)],[167,928,884,theory(equality)]) ).
cnf(1833,plain,
h1(e11) != h11(e11),
inference('REWRITE',[status(thm)],[305,933,884,theory(equality)]) ).
cnf(1856,plain,
op2(h8(e11),e21) = op2(e22,h1(e10)),
inference('REWRITE',[status(thm)],[155,917,883,theory(equality)]) ).
cnf(1861,plain,
op2(h11(e11),e21) = op2(e23,h1(e10)),
inference('REWRITE',[status(thm)],[171,933,883,theory(equality)]) ).
cnf(1863,plain,
( h11(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h11(op1(e10,e11)) != op2(h1(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h1(e10),e23)
| h11(op1(e10,e13)) != op2(h1(e10),e21)
| h11(op1(e11,e10)) != op2(h11(e11),h1(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),e23)
| h11(op1(e11,e13)) != op2(e23,h1(e10))
| h11(op1(e12,e10)) != op2(e23,h1(e10))
| h11(op1(e12,e11)) != op2(e23,h11(e11))
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != op2(e21,h1(e10))
| h11(op1(e13,e11)) != op2(e21,h11(e11))
| h11(op1(e13,e12)) != h6(e11)
| h1(e10) != e20
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[1500,1861,theory(equality)]) ).
cnf(1916,plain,
( h1(e10) = e20
| h12(e10) = e21
| h12(e10) = e22
| h12(e10) = e23 ),
inference('REWRITE',[status(thm)],[729,1610,883,theory(equality)]) ).
cnf(1936,plain,
op2(h2(e11),e23) = h1(e11),
inference('REWRITE',[status(thm)],[129,884,888,880,theory(equality)]) ).
cnf(1938,plain,
op2(h12(e10),e23) = h8(e11),
inference('REWRITE',[status(thm)],[161,917,1610,880,theory(equality)]) ).
cnf(1957,plain,
h6(e11) != e21,
inference('REWRITE',[status(thm)],[318,907,880,theory(equality)]) ).
cnf(1963,plain,
h12(e10) != e21,
inference('REWRITE',[status(thm)],[338,1610,880,theory(equality)]) ).
cnf(1969,plain,
( h12(e10) = e20
| h10(e10) = e22
| h10(e10) = e23 ),
inference('REWRITE',[status(thm)],[1808,1963]) ).
cnf(1985,plain,
( h1(e10) = e20
| h12(e10) = e22
| h12(e10) = e23 ),
inference('REWRITE',[status(thm)],[1916,1963]) ).
cnf(1992,plain,
op2(h6(e11),e23) = h4(e11),
inference('REWRITE',[status(thm)],[149,897,907,879,theory(equality)]) ).
cnf(1994,plain,
h6(e11) = h7(e11),
inference('REWRITE',[status(thm)],[165,912,907,880,879,theory(equality)]) ).
cnf(1995,plain,
h6(e11) = op2(e22,e20),
inference('REWRITE',[status(thm)],[912,1994,theory(equality)]) ).
cnf(2007,plain,
op2(e21,h12(e11)) = op2(e22,h2(e11)),
inference('REWRITE',[status(thm)],[1755,1683,1994,theory(equality)]) ).
cnf(2015,plain,
op2(e21,h11(e11)) = op2(e22,h1(e11)),
inference('REWRITE',[status(thm)],[1830,1681,1994,theory(equality)]) ).
cnf(2018,plain,
( h11(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h11(op1(e10,e11)) != op2(h1(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h1(e10),e23)
| h11(op1(e10,e13)) != op2(h1(e10),e21)
| h11(op1(e11,e10)) != op2(h11(e11),h1(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),e23)
| h11(op1(e11,e13)) != op2(e23,h1(e10))
| h11(op1(e12,e10)) != op2(e23,h1(e10))
| h11(op1(e12,e11)) != op2(e23,h11(e11))
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != op2(e21,h1(e10))
| h11(op1(e13,e11)) != op2(e22,h1(e11))
| h11(op1(e13,e12)) != h6(e11)
| h1(e10) != e20
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[1863,2015,theory(equality)]) ).
cnf(2027,plain,
h1(e11) = op2(e23,h11(e11)),
inference('REWRITE',[status(thm)],[179,933,884,879,theory(equality)]) ).
cnf(2029,plain,
( h11(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h11(op1(e10,e11)) != op2(h1(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h1(e10),e23)
| h11(op1(e10,e13)) != op2(h1(e10),e21)
| h11(op1(e11,e10)) != op2(h11(e11),h1(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),e23)
| h11(op1(e11,e13)) != op2(e23,h1(e10))
| h11(op1(e12,e10)) != op2(e23,h1(e10))
| h11(op1(e12,e11)) != h1(e11)
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != op2(e21,h1(e10))
| h11(op1(e13,e11)) != op2(e22,h1(e11))
| h11(op1(e13,e12)) != h6(e11)
| h1(e10) != e20
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[2018,2027,theory(equality)]) ).
cnf(2035,plain,
h3(e11) = h10(e11),
inference('REWRITE',[status(thm)],[181,928,893,879,theory(equality)]) ).
cnf(2036,plain,
h10(e11) = op2(e20,e23),
inference('REWRITE',[status(thm)],[893,2035,theory(equality)]) ).
cnf(2039,plain,
op2(e23,h1(e11)) = op2(e20,h11(e11)),
inference('REWRITE',[status(thm)],[1734,1831,2035,theory(equality)]) ).
cnf(2055,plain,
h11(e11) != e20,
inference('REWRITE',[status(thm)],[343,933,879,theory(equality)]) ).
cnf(2056,plain,
( h11(e11) = e21
| h11(e11) = e22
| h11(e11) = e23 ),
inference('REWRITE',[status(thm)],[1637,2055]) ).
cnf(2057,plain,
h12(e11) != e20,
inference('REWRITE',[status(thm)],[344,938,879,theory(equality)]) ).
cnf(2058,plain,
( h12(e11) = e21
| h12(e11) = e22
| h12(e11) = e23 ),
inference('REWRITE',[status(thm)],[1609,2057]) ).
cnf(2079,plain,
h10(e10) = e20,
inference('REWRITE',[status(thm)],[671,353,352,1963,1610,1642,879,theory(equality)]) ).
cnf(2081,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[1642,2079,theory(equality)]) ).
cnf(2084,plain,
op2(h10(e11),e20) = h10(e11),
inference('REWRITE',[status(thm)],[1721,928,2079,theory(equality)]) ).
cnf(2088,plain,
h2(e11) != e20,
inference('REWRITE',[status(thm)],[1763,2079,theory(equality)]) ).
cnf(2089,plain,
( h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[1742,2088]) ).
cnf(2098,plain,
h12(e10) = e20,
inference('REWRITE',[status(thm)],[1969,353,352,2079,theory(equality)]) ).
cnf(2100,plain,
op2(e22,e22) = e20,
inference('REWRITE',[status(thm)],[1610,2098,theory(equality)]) ).
cnf(2102,plain,
op2(h2(e11),e22) = e20,
inference('REWRITE',[status(thm)],[1766,2081,2098,theory(equality)]) ).
cnf(2105,plain,
h2(e11) = h6(e11),
inference('REWRITE',[status(thm)],[1786,1995,888,2098,theory(equality)]) ).
cnf(2107,plain,
e20 = op2(e21,h12(e11)),
inference('REWRITE',[status(thm)],[1683,2102,2105,theory(equality)]) ).
cnf(2108,plain,
e20 = op2(e22,h2(e11)),
inference('REWRITE',[status(thm)],[2007,2107,theory(equality)]) ).
cnf(2109,plain,
op2(h11(e11),e23) = op2(h10(e11),e22),
inference('REWRITE',[status(thm)],[1685,1760,2105,theory(equality)]) ).
cnf(2117,plain,
h2(e11) != e21,
inference('REWRITE',[status(thm)],[1957,2105,theory(equality)]) ).
cnf(2118,plain,
( h2(e11) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[2089,2117]) ).
cnf(2119,plain,
h1(e11) = h4(e11),
inference('REWRITE',[status(thm)],[1992,1936,2105,theory(equality)]) ).
cnf(2120,plain,
h1(e11) = op2(e21,e20),
inference('REWRITE',[status(thm)],[897,2119,theory(equality)]) ).
cnf(2121,plain,
op2(h8(e11),e20) = op2(e22,h1(e11)),
inference('REWRITE',[status(thm)],[1703,2119,theory(equality)]) ).
cnf(2122,plain,
op2(h11(e11),e20) = op2(e23,h1(e11)),
inference('REWRITE',[status(thm)],[1704,2119,theory(equality)]) ).
cnf(2123,plain,
h1(e11) != h5(e11),
inference('REWRITE',[status(thm)],[1707,2119,theory(equality)]) ).
cnf(2137,plain,
h2(e11) = op2(e22,e20),
inference('REWRITE',[status(thm)],[1995,2105,theory(equality)]) ).
cnf(2142,plain,
( h11(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h11(op1(e10,e11)) != op2(h1(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h1(e10),e23)
| h11(op1(e10,e13)) != op2(h1(e10),e21)
| h11(op1(e11,e10)) != op2(h11(e11),h1(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h10(e11),e22)
| h11(op1(e11,e13)) != op2(e23,h1(e10))
| h11(op1(e12,e10)) != op2(e23,h1(e10))
| h11(op1(e12,e11)) != h1(e11)
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != op2(e21,h1(e10))
| h11(op1(e13,e11)) != op2(e22,h1(e11))
| h11(op1(e13,e12)) != h2(e11)
| h1(e10) != e20
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[2029,2109,2105,theory(equality)]) ).
cnf(2143,plain,
op2(h12(e11),e22) = h10(e11),
inference('REWRITE',[status(thm)],[1787,928,2098,theory(equality)]) ).
cnf(2144,plain,
h5(e11) != e20,
inference('REWRITE',[status(thm)],[1793,2098,theory(equality)]) ).
cnf(2145,plain,
( h5(e11) = e21
| h5(e11) = e22
| h5(e11) = e23 ),
inference('REWRITE',[status(thm)],[1687,2144]) ).
cnf(2151,plain,
h10(e11) = h8(e11),
inference('REWRITE',[status(thm)],[1938,2036,2098,theory(equality)]) ).
cnf(2156,plain,
op2(e23,h1(e11)) = op2(e22,h1(e10)),
inference('REWRITE',[status(thm)],[1856,1831,2151,theory(equality)]) ).
cnf(2158,plain,
op2(e22,h1(e10)) = op2(e20,h11(e11)),
inference('REWRITE',[status(thm)],[2039,2156,theory(equality)]) ).
cnf(2159,plain,
op2(h11(e11),e20) = op2(e22,h1(e10)),
inference('REWRITE',[status(thm)],[2122,2156,theory(equality)]) ).
cnf(2161,plain,
h10(e11) = op2(e22,h1(e11)),
inference('REWRITE',[status(thm)],[2121,2084,2151,theory(equality)]) ).
cnf(2165,plain,
( h11(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h11(op1(e10,e11)) != op2(h1(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h1(e10),e23)
| h11(op1(e10,e13)) != op2(h1(e10),e21)
| h11(op1(e11,e10)) != op2(h11(e11),h1(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h10(e11),e22)
| h11(op1(e11,e13)) != op2(e23,h1(e10))
| h11(op1(e12,e10)) != op2(e23,h1(e10))
| h11(op1(e12,e11)) != h1(e11)
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != op2(e21,h1(e10))
| h11(op1(e13,e11)) != h10(e11)
| h11(op1(e13,e12)) != h2(e11)
| h1(e10) != e20
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[2142,2161,theory(equality)]) ).
cnf(2172,plain,
h1(e10) = e20,
inference('REWRITE',[status(thm)],[1985,353,352,2098,theory(equality)]) ).
cnf(2175,plain,
h11(e10) = e20,
inference('REWRITE',[status(thm)],[932,2172,theory(equality)]) ).
cnf(2190,plain,
h2(e11) = op2(e20,h11(e11)),
inference('REWRITE',[status(thm)],[2158,2137,2172,theory(equality)]) ).
cnf(2191,plain,
op2(h11(e11),e20) = h2(e11),
inference('REWRITE',[status(thm)],[2159,2137,2172,theory(equality)]) ).
cnf(2192,plain,
( h11(op1(e10,e10)) != e20
| h11(op1(e10,e11)) != h2(e11)
| h11(op1(e10,e12)) != h10(e11)
| h11(op1(e10,e13)) != h1(e11)
| h11(op1(e11,e10)) != h2(e11)
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h10(e11),e22)
| h11(op1(e11,e13)) != h10(e11)
| h11(op1(e12,e10)) != h10(e11)
| h11(op1(e12,e11)) != h1(e11)
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != h1(e11)
| h11(op1(e13,e11)) != h10(e11)
| h11(op1(e13,e12)) != h2(e11)
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[2165,2120,928,2191,884,2036,2190,2081,2172,theory(equality)]) ).
cnf(2207,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference('REWRITE',[status(thm)],[60,878,theory(equality)]) ).
cnf(2210,plain,
op1(e11,e12) = op1(e12,op1(e13,e12)),
inference('REWRITE',[status(thm)],[63,878,theory(equality)]) ).
cnf(2216,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[287,878,theory(equality)]) ).
cnf(2217,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference('REWRITE',[status(thm)],[9,2216]) ).
cnf(2218,plain,
op1(e12,e11) != e11,
inference('REWRITE',[status(thm)],[289,878,theory(equality)]) ).
cnf(2219,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[10,2218]) ).
cnf(2220,plain,
op1(e12,e12) != e11,
inference('REWRITE',[status(thm)],[290,878,theory(equality)]) ).
cnf(2231,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[467,2220]) ).
cnf(2244,plain,
( op1(e12,e12) = e10
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[536,2220]) ).
cnf(2250,plain,
op1(e11,e13) = op1(e12,e10),
inference('REWRITE',[status(thm)],[64,878,877,theory(equality)]) ).
cnf(2265,plain,
( h11(op1(e10,e10)) != e20
| h11(op1(e10,e11)) != h2(e11)
| h11(op1(e10,e12)) != h10(e11)
| h11(op1(e10,e13)) != h1(e11)
| h11(op1(e11,e10)) != h2(e11)
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h10(e11),e22)
| h11(op1(e12,e10)) != h10(e11)
| h11(op1(e12,e11)) != h1(e11)
| h11(op1(e12,e12)) != e20
| h11(op1(e13,e10)) != h1(e11)
| h11(op1(e13,e11)) != h10(e11)
| h11(op1(e13,e12)) != h2(e11)
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[2192,2250,theory(equality)]) ).
cnf(2274,plain,
op1(e10,e11) = op1(e13,op1(e13,e11)),
inference('REWRITE',[status(thm)],[78,877,theory(equality)]) ).
cnf(2276,plain,
op1(e10,e13) = op1(e13,e10),
inference('REWRITE',[status(thm)],[80,877,theory(equality)]) ).
cnf(2279,plain,
op1(e12,e10) != e10,
inference('REWRITE',[status(thm)],[271,2250,877,theory(equality)]) ).
cnf(2280,plain,
( op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference('REWRITE',[status(thm)],[2217,2279]) ).
cnf(2283,plain,
op1(e13,e11) != e10,
inference('REWRITE',[status(thm)],[295,877,theory(equality)]) ).
cnf(2284,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference('REWRITE',[status(thm)],[14,2283]) ).
cnf(2307,plain,
op1(e10,e10) = e10,
inference('REWRITE',[status(thm)],[419,347,346,2220,877,theory(equality)]) ).
cnf(2314,plain,
op1(e11,e10) != e10,
inference('REWRITE',[status(thm)],[249,2307,theory(equality)]) ).
cnf(2315,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference('REWRITE',[status(thm)],[5,2314]) ).
cnf(2318,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[274,2307,theory(equality)]) ).
cnf(2319,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[3,2318]) ).
cnf(2320,plain,
op1(e11,e11) = e10,
inference('REWRITE',[status(thm)],[2231,347,346,2307,theory(equality)]) ).
cnf(2327,plain,
op1(e12,e11) != e10,
inference('REWRITE',[status(thm)],[258,2320,theory(equality)]) ).
cnf(2328,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[2219,2327]) ).
cnf(2333,plain,
op1(e12,e12) = e10,
inference('REWRITE',[status(thm)],[2244,347,346,2320,theory(equality)]) ).
cnf(2336,plain,
e10 = op1(e12,op1(e12,e10)),
inference('REWRITE',[status(thm)],[57,2307,2333,theory(equality)]) ).
cnf(2338,plain,
op1(e10,e11) = op1(e12,op1(e12,e11)),
inference('REWRITE',[status(thm)],[58,2333,theory(equality)]) ).
cnf(2339,plain,
op1(e10,e12) = op1(e12,e10),
inference('REWRITE',[status(thm)],[59,2333,theory(equality)]) ).
cnf(2341,plain,
op1(e10,e13) = op1(e12,e11),
inference('REWRITE',[status(thm)],[2207,2333,theory(equality)]) ).
cnf(2349,plain,
op1(e12,e11) = op1(e13,e10),
inference('REWRITE',[status(thm)],[2276,2341,theory(equality)]) ).
cnf(2371,plain,
( h11(op1(e10,e11)) != h2(e11)
| h11(op1(e10,e12)) != h10(e11)
| h11(op1(e12,e11)) != h1(e11)
| h11(op1(e11,e10)) != h2(e11)
| e20 != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h10(e11),e22)
| h11(op1(e12,e10)) != h10(e11)
| h11(op1(e13,e11)) != h10(e11)
| h11(op1(e13,e12)) != h2(e11)
| h11(e11) != e22 ),
inference('REWRITE',[status(thm)],[2265,2349,2333,2320,2341,2175,2307,theory(equality)]) ).
cnf(2381,plain,
op1(e10,e12) != e11,
inference('PARAMODULATE',[status(thm)],[2216,2339,theory(equality)]) ).
cnf(2382,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[2319,2381]) ).
cnf(2400,plain,
h2(e11) = e22,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2108,2118,theory(equality)]),351,880,theory(equality)]) ).
cnf(2407,plain,
h5(e11) != e22,
inference('REWRITE',[status(thm)],[1761,2400,theory(equality)]) ).
cnf(2408,plain,
( h5(e11) = e21
| h5(e11) = e23 ),
inference('REWRITE',[status(thm)],[2145,2407]) ).
cnf(2409,plain,
h12(e11) != e22,
inference('REWRITE',[status(thm)],[1762,2400,theory(equality)]) ).
cnf(2410,plain,
( h12(e11) = e21
| h12(e11) = e23 ),
inference('REWRITE',[status(thm)],[2058,2409]) ).
cnf(2413,plain,
h1(e11) = e21,
inference('REWRITE',[status(thm)],[1936,880,2400,theory(equality)]) ).
cnf(2415,plain,
h11(e11) != e21,
inference('REWRITE',[status(thm)],[1833,2413,theory(equality)]) ).
cnf(2416,plain,
( h11(e11) = e22
| h11(e11) = e23 ),
inference('REWRITE',[status(thm)],[2056,2415]) ).
cnf(2420,plain,
h5(e11) != e21,
inference('REWRITE',[status(thm)],[2123,2413,theory(equality)]) ).
cnf(2421,plain,
h5(e11) = e23,
inference('REWRITE',[status(thm)],[2408,2420]) ).
cnf(2422,plain,
op2(e21,e22) = e23,
inference('REWRITE',[status(thm)],[902,2421,theory(equality)]) ).
cnf(2424,plain,
h12(e11) != e23,
inference('REWRITE',[status(thm)],[1700,2421,theory(equality)]) ).
cnf(2425,plain,
h12(e11) = e21,
inference('REWRITE',[status(thm)],[2410,2424]) ).
cnf(2426,plain,
op2(e23,e22) = e21,
inference('REWRITE',[status(thm)],[938,2425,theory(equality)]) ).
cnf(2428,plain,
h10(e11) = e23,
inference('REWRITE',[status(thm)],[2143,2422,2425,theory(equality)]) ).
cnf(2430,plain,
h11(e11) != e23,
inference('REWRITE',[status(thm)],[1640,2428,theory(equality)]) ).
cnf(2431,plain,
h11(e11) = e22,
inference('REWRITE',[status(thm)],[2416,2430]) ).
cnf(2441,plain,
( h11(op1(e10,e11)) != e22
| h11(op1(e10,e12)) != e23
| h11(op1(e12,e11)) != e21
| h11(op1(e11,e10)) != e22
| h11(op1(e11,e12)) != e21
| h11(op1(e12,e10)) != e23
| h11(op1(e13,e11)) != e23
| h11(op1(e13,e12)) != e22 ),
inference('REWRITE',[status(thm)],[2371,2426,2100,2431,2413,2428,2400,theory(equality)]) ).
cnf(2461,plain,
op1(e12,e10) = e12,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2336,2280,theory(equality)]),345,878,theory(equality)]) ).
cnf(2463,plain,
op1(e11,e10) != e12,
inference('REWRITE',[status(thm)],[252,2461,theory(equality)]) ).
cnf(2464,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e13 ),
inference('REWRITE',[status(thm)],[2315,2463]) ).
cnf(2465,plain,
op1(e12,e11) != e12,
inference('REWRITE',[status(thm)],[285,2461,theory(equality)]) ).
cnf(2466,plain,
op1(e12,e11) = e13,
inference('REWRITE',[status(thm)],[2328,2465]) ).
cnf(2469,plain,
op1(e13,e11) != e13,
inference('REWRITE',[status(thm)],[260,2466,theory(equality)]) ).
cnf(2470,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12 ),
inference('REWRITE',[status(thm)],[2284,2469]) ).
cnf(2471,plain,
op1(e10,e11) = e11,
inference('REWRITE',[status(thm)],[2338,878,2466,theory(equality)]) ).
cnf(2473,plain,
op1(e13,e11) != e11,
inference('REWRITE',[status(thm)],[257,2471,theory(equality)]) ).
cnf(2474,plain,
op1(e13,e11) = e12,
inference('REWRITE',[status(thm)],[2470,2473]) ).
cnf(2480,plain,
op1(e13,e12) = e11,
inference('REWRITE',[status(thm)],[2274,2474,2471,theory(equality)]) ).
cnf(2483,plain,
op1(e11,e12) = e13,
inference('REWRITE',[status(thm)],[2210,2466,2480,theory(equality)]) ).
cnf(2484,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[261,2483,theory(equality)]) ).
cnf(2485,plain,
op1(e10,e12) = e12,
inference('REWRITE',[status(thm)],[2382,2484]) ).
cnf(2486,plain,
op1(e11,e10) != e13,
inference('REWRITE',[status(thm)],[280,2483,theory(equality)]) ).
cnf(2487,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[2464,2486]) ).
cnf(2491,plain,
$false,
inference('REWRITE',[status(thm)],[2441,2480,2474,2483,2487,930,2466,929,2485,2431,2471,2461,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % DateTime : Wed Jun 8 10:38:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-06-08T10:38:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-08T10:38:23
% 3.45/3.62
% 3.45/3.62
% 3.45/3.62 #||
% 3.45/3.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.45/3.62 % SZS output start Refutation
% See solution above
% 3.45/3.65 ||#
% 3.45/3.65
% 3.45/3.65 ; Summary of computation:
% 3.45/3.65 ; 6156 formulas have been input or derived (from 338 formulas).
% 3.45/3.65 ; 2491 (40%) were retained. Of these,
% 3.45/3.65 ; 2294 (92%) were simplified or subsumed later,
% 3.45/3.65 ; 197 ( 8%) are still being kept.
% 3.45/3.65 ;
% 3.45/3.65 ; Run time in seconds excluding printing time:
% 3.45/3.65 ; 0.076 2% Read assertion file (1 call)
% 3.45/3.65 ; 1.107 35% Assert (38 calls)
% 3.45/3.65 ; 0.279 9% Process new row (5,780 calls)
% 3.45/3.65 ; 0.005 0% Resolution (674 calls)
% 3.45/3.65 ; 0.001 0% Paramodulation (337 calls)
% 3.45/3.65 ; 0.000 0% Factoring (3 calls)
% 3.45/3.65 ; 0.002 0% Condensing (1,400 calls)
% 3.45/3.65 ; 0.123 4% Forward subsumption (1,400 calls)
% 3.45/3.65 ; 0.147 5% Backward subsumption (1,375 calls)
% 3.45/3.65 ; 0.105 3% Clause clause subsumption (7,627 calls)
% 3.45/3.65 ; 1.134 36% Forward simplification (5,773 calls)
% 3.45/3.65 ; 0.107 3% Backward simplification (2,142 calls)
% 3.45/3.65 ; 0.002 0% Ordering (1,625 calls)
% 3.45/3.65 ; 0.001 0% Sortal reasoning (32 calls)
% 3.45/3.65 ; 0.011 0% Purity testing (1 call)
% 3.45/3.65 ; 0.042 1% Other
% 3.45/3.65 ; 3.142 Total
% 3.45/3.65 ; 3.170 Real time
% 3.45/3.65 ;
% 3.45/3.65 ; Term-hash-array has 2,022 terms in all.
% 3.45/3.65 ; Feature-vector-row-index has 34 entries (570 at peak, 1,375 added, 1,341 deleted).
% 3.45/3.65 ; Feature-vector-row-index has 218 nodes (1,127 at peak, 11,321 added, 11,103 deleted).
% 3.45/3.65 ; Retrieved 3,452 possibly forward subsuming rows in 1,400 calls.
% 3.45/3.65 ; Retrieved 4,285 possibly backward subsumed rows in 1,375 calls.
% 3.45/3.65 ; Path-index has 342 entries (1,187 at peak, 5,610 added, 5,268 deleted).
% 3.45/3.65 ; Path-index has 418 nodes (706 at peak, 2,618 added, 2,200 deleted).
% 3.45/3.65 ; Trie-index has 342 entries (1,187 at peak, 5,610 added, 5,268 deleted).
% 3.45/3.65 ; Trie-index has 581 nodes (2,889 at peak, 14,419 added, 13,838 deleted).
% 3.45/3.65 ; Retrieved 95,885 generalization terms in 338,261 calls.
% 3.45/3.65 ; Retrieved 766 instance terms in 766 calls.
% 3.45/3.65 ; Retrieved 459 unifiable terms in 2,097 calls.
% 3.45/3.65 ;
% 3.45/3.65 ; The agenda of backward simplifiable rows to process has 13 entries:
% 3.45/3.65 ; 13 with value 0
% 3.45/3.65 ; The agenda of rows to process has 8 entries:
% 3.45/3.65 ; 4 with value 15 1 with value 16 3 with value 17
% 3.45/3.65 ; The agenda of input rows to give has 20 entries:
% 3.45/3.65 ; 10 with value 7 2 with value 16 8 with value 24
% 3.45/3.65 ; The agenda of rows to give has 2 entries:
% 3.45/3.65 ; 1 with value (4 7) 1 with value (4 8)
% 3.45/3.65 Evaluation took:
% 3.45/3.65 3.17 seconds of real time
% 3.45/3.65 3.100495 seconds of user run time
% 3.45/3.65 0.069567 seconds of system run time
% 3.45/3.65 [Run times include 0.085 seconds GC run time.]
% 3.45/3.65 0 calls to %EVAL
% 3.45/3.65 0 page faults and
% 3.45/3.65 220,783,096 bytes consed.
% 3.45/3.65 :PROOF-FOUND
% 3.45/3.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T10:38:26
% 3.45/3.65 :PROOF-FOUND
% 3.45/3.65 *
%------------------------------------------------------------------------------