TSTP Solution File: ALG125+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 17:59:57 EDT 2022
% Result : Theorem 62.88s 63.14s
% Output : Refutation 62.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 154
% Syntax : Number of clauses : 490 ( 206 unt; 190 nHn; 490 RR)
% Number of literals : 1181 (1180 equ; 493 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(2,axiom,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(7,axiom,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(8,axiom,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = 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(11,axiom,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(12,axiom,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(15,axiom,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(17,axiom,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(18,axiom,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(19,axiom,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(28,axiom,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(31,axiom,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(33,axiom,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(35,axiom,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(36,axiom,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(38,axiom,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(39,axiom,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(42,axiom,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(46,axiom,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(48,axiom,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(49,axiom,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(50,axiom,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(51,axiom,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(52,axiom,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(55,axiom,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(56,axiom,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(58,axiom,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(63,axiom,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(66,axiom,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(71,axiom,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(72,axiom,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(78,axiom,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(79,axiom,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(81,axiom,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(85,axiom,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(86,axiom,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(87,axiom,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(88,axiom,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(90,axiom,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(94,axiom,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(98,axiom,
op1(e10,e10) != op1(e12,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(99,axiom,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(100,axiom,
op1(e11,e10) != op1(e12,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(102,axiom,
op1(e12,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(103,axiom,
op1(e10,e11) != op1(e11,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(104,axiom,
op1(e10,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(105,axiom,
op1(e10,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(106,axiom,
op1(e11,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(108,axiom,
op1(e12,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(109,axiom,
op1(e10,e12) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(110,axiom,
op1(e10,e12) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(111,axiom,
op1(e10,e12) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(112,axiom,
op1(e11,e12) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(115,axiom,
op1(e10,e13) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(116,axiom,
op1(e10,e13) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(117,axiom,
op1(e10,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(118,axiom,
op1(e11,e13) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(119,axiom,
op1(e11,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(120,axiom,
op1(e12,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(125,axiom,
op1(e10,e11) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(127,axiom,
op1(e11,e10) != op1(e11,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(128,axiom,
op1(e11,e10) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(130,axiom,
op1(e11,e11) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(131,axiom,
op1(e11,e11) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(132,axiom,
op1(e11,e12) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(136,axiom,
op1(e12,e11) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(138,axiom,
op1(e12,e12) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(140,axiom,
op1(e13,e10) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(142,axiom,
op1(e13,e11) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(143,axiom,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(144,axiom,
op1(e13,e12) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(146,axiom,
op2(e20,e20) != op2(e22,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(150,axiom,
op2(e22,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(151,axiom,
op2(e20,e21) != op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(152,axiom,
op2(e20,e21) != op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(153,axiom,
op2(e20,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(154,axiom,
op2(e21,e21) != op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(156,axiom,
op2(e22,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(157,axiom,
op2(e20,e22) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(158,axiom,
op2(e20,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(159,axiom,
op2(e20,e22) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(160,axiom,
op2(e21,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(163,axiom,
op2(e20,e23) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(164,axiom,
op2(e20,e23) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(165,axiom,
op2(e20,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(167,axiom,
op2(e21,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(170,axiom,
op2(e20,e20) != op2(e20,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(171,axiom,
op2(e20,e20) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(172,axiom,
op2(e20,e21) != op2(e20,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(173,axiom,
op2(e20,e21) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(174,axiom,
op2(e20,e22) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(175,axiom,
op2(e21,e20) != op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(176,axiom,
op2(e21,e20) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(178,axiom,
op2(e21,e21) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(179,axiom,
op2(e21,e21) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(180,axiom,
op2(e21,e22) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(184,axiom,
op2(e22,e21) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(186,axiom,
op2(e22,e22) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(187,axiom,
op2(e23,e20) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(188,axiom,
op2(e23,e20) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(190,axiom,
op2(e23,e21) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(192,axiom,
op2(e23,e22) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(193,axiom,
e10 != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(194,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(195,axiom,
e10 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(196,axiom,
e11 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(197,axiom,
e11 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(198,axiom,
e12 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(199,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(200,axiom,
e20 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(201,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(202,axiom,
e21 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(203,axiom,
e21 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(204,axiom,
e22 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(221,axiom,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e10,op1(e12,e10)) != op1(e12,e10)
| op1(e10,op1(e13,e10)) != op1(e13,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(226,axiom,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e12,e11)) != op1(e12,e11)
| op1(e11,op1(e13,e11)) != op1(e13,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(391,axiom,
( op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12)
| op1(e12,op1(e13,e12)) != op1(e13,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(477,axiom,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(478,axiom,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(481,axiom,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(483,axiom,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(484,axiom,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(485,axiom,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(486,axiom,
( op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(488,axiom,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(490,axiom,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20)
| op2(e20,op2(e23,e20)) != op2(e23,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(495,axiom,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,op2(e23,e21)) != op2(e23,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(660,axiom,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,op2(e22,e22)) != op2(e22,e22)
| op2(e22,op2(e23,e22)) != op2(e23,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(746,axiom,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(747,axiom,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(748,axiom,
( op2(e20,e20) != e22
| op2(e20,e22) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(750,axiom,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(752,axiom,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(753,axiom,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(755,axiom,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(757,axiom,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(759,axiom,
e10 = op1(op1(e13,e13),op1(e13,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(760,axiom,
op1(e13,e13) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(761,axiom,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(762,plain,
e12 = op1(e13,op1(e11,e11)),
inference('REWRITE',[status(thm)],[761,760,theory(equality)]) ).
cnf(763,axiom,
e20 = op2(op2(e23,e23),op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(764,axiom,
op2(e23,e23) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(765,axiom,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(766,plain,
e22 = op2(e23,op2(e21,e21)),
inference('REWRITE',[status(thm)],[765,764,theory(equality)]) ).
cnf(768,axiom,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(769,axiom,
h1(e11) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(773,axiom,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(774,axiom,
h2(e11) = op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(779,axiom,
h3(e11) = op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(782,axiom,
h4(e13) = e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(783,axiom,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(784,plain,
h4(e10) = h2(e11),
inference('REWRITE',[status(thm)],[783,774,764,theory(equality)]) ).
cnf(785,axiom,
h4(e11) = op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(786,plain,
h4(e11) = e21,
inference('REWRITE',[status(thm)],[785,764,theory(equality)]) ).
cnf(787,axiom,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(788,plain,
h4(e12) = op2(e23,h2(e11)),
inference('REWRITE',[status(thm)],[787,774,764,theory(equality)]) ).
cnf(1459,negated_conjecture,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(e10) != e20
| h4(e11) != e21
| h4(e12) != e22
| h4(e13) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(1460,plain,
( h4(op1(e10,e10)) != op2(h2(e11),h2(e11))
| h4(op1(e10,e11)) != op2(h2(e11),e21)
| h4(op1(e10,e12)) != op2(h2(e11),h4(e12))
| h4(op1(e10,e13)) != op2(h2(e11),e23)
| h4(op1(e11,e10)) != op2(e21,h2(e11))
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e12)) != op2(e21,h4(e12))
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(h4(e12),h2(e11))
| h4(op1(e12,e11)) != op2(h4(e12),e21)
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e13,e10)) != h4(e12)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h2(e11) != e20
| h4(e12) != e22 ),
inference('REWRITE',[status(thm)],[1459,764,760,788,774,782,786,784,theory(equality)]) ).
cnf(1498,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| h3(e11) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[81,779,theory(equality)]) ).
cnf(1502,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| h3(e11) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[85,779,theory(equality)]) ).
cnf(1503,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| h3(e11) = e22
| op2(e23,e22) = e22 ),
inference('REWRITE',[status(thm)],[86,779,theory(equality)]) ).
cnf(1504,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| h3(e11) = e23
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[87,779,theory(equality)]) ).
cnf(1505,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| h3(e11) = e23
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[88,779,theory(equality)]) ).
cnf(1506,plain,
op2(e20,e22) != h3(e11),
inference('REWRITE',[status(thm)],[158,779,theory(equality)]) ).
cnf(1507,plain,
op2(e21,e22) != h3(e11),
inference('REWRITE',[status(thm)],[160,779,theory(equality)]) ).
cnf(1510,plain,
op2(e22,e21) != h3(e11),
inference('REWRITE',[status(thm)],[184,779,theory(equality)]) ).
cnf(1511,plain,
h3(e11) != op2(e22,e23),
inference('REWRITE',[status(thm)],[186,779,theory(equality)]) ).
cnf(1526,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,h3(e11)) != h3(e11)
| op2(e22,op2(e23,e22)) != op2(e23,e22) ),
inference('REWRITE',[status(thm)],[660,779,theory(equality)]) ).
cnf(1539,plain,
( h3(e11) != e20
| op2(e22,e20) = e22 ),
inference('REWRITE',[status(thm)],[753,779,theory(equality)]) ).
cnf(1541,plain,
( h3(e11) != e23
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[755,779,theory(equality)]) ).
cnf(1577,plain,
( op2(e20,e21) = e22
| h2(e11) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[78,774,theory(equality)]) ).
cnf(1578,plain,
( op2(e21,e20) = e23
| h2(e11) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[79,774,theory(equality)]) ).
cnf(1580,plain,
op2(e20,e21) != h2(e11),
inference('REWRITE',[status(thm)],[151,774,theory(equality)]) ).
cnf(1581,plain,
h2(e11) != op2(e22,e21),
inference('REWRITE',[status(thm)],[154,774,theory(equality)]) ).
cnf(1583,plain,
op2(e21,e20) != h2(e11),
inference('REWRITE',[status(thm)],[175,774,theory(equality)]) ).
cnf(1584,plain,
h2(e11) != op2(e21,e22),
inference('REWRITE',[status(thm)],[178,774,theory(equality)]) ).
cnf(1585,plain,
h2(e11) != op2(e21,e23),
inference('REWRITE',[status(thm)],[179,774,theory(equality)]) ).
cnf(1622,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference('REWRITE',[status(thm)],[750,774,theory(equality)]) ).
cnf(1624,plain,
( h2(e11) != e23
| op2(e21,e23) = e21 ),
inference('REWRITE',[status(thm)],[752,774,theory(equality)]) ).
cnf(1625,plain,
h4(e12) = e22,
inference('REWRITE',[status(thm)],[766,788,774,theory(equality)]) ).
cnf(1626,plain,
e22 = op2(e23,h2(e11)),
inference('REWRITE',[status(thm)],[788,1625,theory(equality)]) ).
cnf(1628,plain,
( h4(op1(e10,e10)) != op2(h2(e11),h2(e11))
| h4(op1(e10,e11)) != op2(h2(e11),e21)
| h4(op1(e10,e12)) != op2(h2(e11),e22)
| h4(op1(e10,e13)) != op2(h2(e11),e23)
| h4(op1(e11,e10)) != op2(e21,h2(e11))
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,h2(e11))
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != e22
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e12)) != op2(e23,e22)
| h2(e11) != e20 ),
inference('REWRITE',[status(thm)],[1460,779,1625,theory(equality)]) ).
cnf(1629,plain,
h2(e10) = op2(h2(e11),h2(e11)),
inference('REWRITE',[status(thm)],[773,774,theory(equality)]) ).
cnf(1658,plain,
( h4(op1(e10,e10)) != h2(e10)
| h4(op1(e10,e11)) != op2(h2(e11),e21)
| h4(op1(e10,e12)) != op2(h2(e11),e22)
| h4(op1(e10,e13)) != op2(h2(e11),e23)
| h4(op1(e11,e10)) != op2(e21,h2(e11))
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,h2(e11))
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != e22
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e12)) != op2(e23,e22)
| h2(e11) != e20 ),
inference('REWRITE',[status(thm)],[1628,1629,theory(equality)]) ).
cnf(1659,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[49,769,theory(equality)]) ).
cnf(1661,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference('REWRITE',[status(thm)],[66,769,theory(equality)]) ).
cnf(1666,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[71,769,theory(equality)]) ).
cnf(1667,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[72,769,theory(equality)]) ).
cnf(1669,plain,
h1(e11) != op2(e22,e20),
inference('REWRITE',[status(thm)],[146,769,theory(equality)]) ).
cnf(1672,plain,
h1(e11) != op2(e20,e22),
inference('REWRITE',[status(thm)],[170,769,theory(equality)]) ).
cnf(1673,plain,
h1(e11) != op2(e20,e23),
inference('REWRITE',[status(thm)],[171,769,theory(equality)]) ).
cnf(1674,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e20,op2(e22,e20)) != op2(e22,e20)
| op2(e20,op2(e23,e20)) != op2(e23,e20) ),
inference('REWRITE',[status(thm)],[490,769,theory(equality)]) ).
cnf(1678,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,op2(e23,e21)) != op2(e23,e21) ),
inference('REWRITE',[status(thm)],[495,769,theory(equality)]) ).
cnf(1722,plain,
( h1(e11) != e21
| op2(e20,e21) = e20 ),
inference('REWRITE',[status(thm)],[747,769,theory(equality)]) ).
cnf(1723,plain,
( h1(e11) != e22
| op2(e20,e22) = e20 ),
inference('REWRITE',[status(thm)],[748,769,theory(equality)]) ).
cnf(1725,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference('REWRITE',[status(thm)],[768,769,theory(equality)]) ).
cnf(1755,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[90,199,764,theory(equality)]) ).
cnf(1757,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[94,202,764,theory(equality)]) ).
cnf(1760,plain,
op2(e20,e23) != e21,
inference('REWRITE',[status(thm)],[165,764,theory(equality)]) ).
cnf(1761,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[52,1760]) ).
cnf(1763,plain,
op2(e21,e23) != e21,
inference('REWRITE',[status(thm)],[167,764,theory(equality)]) ).
cnf(1764,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[56,1763]) ).
cnf(1766,plain,
h2(e11) != e23,
inference('REWRITE',[status(thm)],[1624,1763]) ).
cnf(1768,plain,
( op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[1578,1766]) ).
cnf(1779,plain,
op2(e23,e22) != e21,
inference('REWRITE',[status(thm)],[192,764,theory(equality)]) ).
cnf(1780,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[63,1779]) ).
cnf(1782,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference('REWRITE',[status(thm)],[746,203,779,774,769,764,theory(equality)]) ).
cnf(1783,plain,
op2(e23,e21) = e23,
inference('REWRITE',[status(thm)],[757,764,theory(equality)]) ).
cnf(1784,plain,
op2(e20,e21) != e23,
inference('REWRITE',[status(thm)],[153,1783,theory(equality)]) ).
cnf(1785,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference('REWRITE',[status(thm)],[50,1784]) ).
cnf(1786,plain,
( h1(e11) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[1666,1784]) ).
cnf(1787,plain,
op2(e22,e21) != e23,
inference('REWRITE',[status(thm)],[156,1783,theory(equality)]) ).
cnf(1788,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[58,1787]) ).
cnf(1789,plain,
( op2(e22,e20) = e23
| h3(e11) = e23
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[1504,1787]) ).
cnf(1790,plain,
op2(e23,e20) != e23,
inference('REWRITE',[status(thm)],[187,1783,theory(equality)]) ).
cnf(1791,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference('REWRITE',[status(thm)],[1667,1790]) ).
cnf(1793,plain,
op2(e23,e22) != e23,
inference('REWRITE',[status(thm)],[190,1783,theory(equality)]) ).
cnf(1794,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[1505,1793]) ).
cnf(1795,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22 ),
inference('REWRITE',[status(thm)],[1780,1793]) ).
cnf(1833,plain,
( op2(e20,e21) = e22
| h2(e11) = e22
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[1577,204,1783,theory(equality)]) ).
cnf(1846,plain,
( h4(op1(e10,e10)) != h2(e10)
| h4(op1(e10,e11)) != op2(h2(e11),e21)
| h4(op1(e10,e12)) != op2(h2(e11),e22)
| h4(op1(e10,e13)) != op2(h2(e11),e23)
| h4(op1(e11,e10)) != op2(e21,h2(e11))
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,h2(e11))
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != e22
| h4(op1(e13,e11)) != e23
| h4(op1(e13,e12)) != op2(e23,e22)
| h2(e11) != e20 ),
inference('REWRITE',[status(thm)],[1658,1783,theory(equality)]) ).
cnf(1848,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e21,e20)) != op2(e21,e20)
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,e23) != e23 ),
inference('REWRITE',[status(thm)],[1678,1783,theory(equality)]) ).
cnf(1865,plain,
h2(e11) = e20,
inference('REWRITE',[status(thm)],[763,774,764,theory(equality)]) ).
cnf(1867,plain,
h4(e10) = e20,
inference('REWRITE',[status(thm)],[784,1865,theory(equality)]) ).
cnf(1869,plain,
op2(e20,e21) != e20,
inference('REWRITE',[status(thm)],[1580,1865,theory(equality)]) ).
cnf(1871,plain,
h1(e11) != e21,
inference('REWRITE',[status(thm)],[1722,1869]) ).
cnf(1872,plain,
( h1(e11) = e20
| h1(e11) = e22
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[1659,1871]) ).
cnf(1875,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference('REWRITE',[status(thm)],[1785,1869]) ).
cnf(1876,plain,
op2(e22,e21) != e20,
inference('REWRITE',[status(thm)],[1581,1865,theory(equality)]) ).
cnf(1877,plain,
( op2(e22,e20) = e20
| h3(e11) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[1498,1876]) ).
cnf(1878,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[1788,1876]) ).
cnf(1879,plain,
op2(e21,e20) != e20,
inference('REWRITE',[status(thm)],[1583,1865,theory(equality)]) ).
cnf(1881,plain,
( h1(e11) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference('REWRITE',[status(thm)],[1661,1879]) ).
cnf(1882,plain,
op2(e21,e22) != e20,
inference('REWRITE',[status(thm)],[1584,1865,theory(equality)]) ).
cnf(1883,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference('REWRITE',[status(thm)],[55,1882]) ).
cnf(1885,plain,
op2(e21,e23) != e20,
inference('REWRITE',[status(thm)],[1585,1865,theory(equality)]) ).
cnf(1886,plain,
( op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[1755,1885]) ).
cnf(1887,plain,
( op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[1764,1885]) ).
cnf(1888,plain,
op2(e21,e20) = e21,
inference('REWRITE',[status(thm)],[1622,1865,theory(equality)]) ).
cnf(1892,plain,
op2(e21,e22) != e21,
inference('REWRITE',[status(thm)],[176,1888,theory(equality)]) ).
cnf(1894,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference('REWRITE',[status(thm)],[1883,1892]) ).
cnf(1920,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,e21) != e21
| op2(e20,op2(e22,e20)) != op2(e22,e20)
| op2(e20,op2(e23,e20)) != op2(e23,e20) ),
inference('REWRITE',[status(thm)],[1674,1888,theory(equality)]) ).
cnf(1928,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[1768,203,1888,theory(equality)]) ).
cnf(1929,plain,
( h1(e11) = e23
| op2(e22,e20) = e23 ),
inference('REWRITE',[status(thm)],[1791,203,1888,theory(equality)]) ).
cnf(1943,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,e21) != e21
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,e23) != e23 ),
inference('REWRITE',[status(thm)],[1848,1888,theory(equality)]) ).
cnf(1947,plain,
op2(e23,e20) = e22,
inference('REWRITE',[status(thm)],[1626,1865,theory(equality)]) ).
cnf(1948,plain,
op2(e22,e20) != e22,
inference('REWRITE',[status(thm)],[150,1947,theory(equality)]) ).
cnf(1949,plain,
( op2(e22,e21) = e22
| h3(e11) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[1502,1948]) ).
cnf(1950,plain,
h3(e11) != e20,
inference('REWRITE',[status(thm)],[1539,1948]) ).
cnf(1952,plain,
( op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[1877,1950]) ).
cnf(1955,plain,
op2(e23,e22) != e22,
inference('REWRITE',[status(thm)],[188,1947,theory(equality)]) ).
cnf(1956,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| h3(e11) = e22 ),
inference('REWRITE',[status(thm)],[1503,1955]) ).
cnf(1957,plain,
op2(e23,e22) = e20,
inference('REWRITE',[status(thm)],[1795,1955]) ).
cnf(1958,plain,
op2(e20,e22) != e20,
inference('REWRITE',[status(thm)],[159,1957,theory(equality)]) ).
cnf(1959,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference('REWRITE',[status(thm)],[51,1958]) ).
cnf(1960,plain,
h1(e11) != e22,
inference('REWRITE',[status(thm)],[1723,1958]) ).
cnf(1962,plain,
( h1(e11) = e20
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[1872,1960]) ).
cnf(1984,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,h3(e11)) != h3(e11)
| op2(e22,e20) != e20 ),
inference('REWRITE',[status(thm)],[1526,1957,theory(equality)]) ).
cnf(2044,plain,
( h1(e11) = e20
| op2(e22,e20) = e20 ),
inference('REWRITE',[status(thm)],[1881,200,1947,theory(equality)]) ).
cnf(2057,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,e21) != e21
| op2(e20,op2(e22,e20)) != op2(e22,e20)
| op2(e20,e22) != e22 ),
inference('REWRITE',[status(thm)],[1920,1947,theory(equality)]) ).
cnf(2061,plain,
h2(e10) = h1(e11),
inference('REWRITE',[status(thm)],[1629,769,1865,theory(equality)]) ).
cnf(2068,plain,
( h1(e11) = e20
| h3(e11) = e22 ),
inference('REWRITE',[status(thm)],[1782,199,1865,theory(equality)]) ).
cnf(2069,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[1833,200,1865,theory(equality)]) ).
cnf(2070,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e10)) != e21
| h4(op1(e11,e11)) != e20
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != e22
| h4(op1(e13,e11)) != e23
| h4(op1(e13,e12)) != e20 ),
inference('REWRITE',[status(thm)],[1846,1957,1888,2061,1865,theory(equality)]) ).
cnf(2072,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[42,193,760,theory(equality)]) ).
cnf(2074,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[46,196,760,theory(equality)]) ).
cnf(2076,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[48,197,760,theory(equality)]) ).
cnf(2077,plain,
op1(e10,e13) != e11,
inference('REWRITE',[status(thm)],[117,760,theory(equality)]) ).
cnf(2078,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[4,2077]) ).
cnf(2079,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference('REWRITE',[status(thm)],[19,2077]) ).
cnf(2080,plain,
op1(e11,e13) != e11,
inference('REWRITE',[status(thm)],[119,760,theory(equality)]) ).
cnf(2081,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[8,2080]) ).
cnf(2083,plain,
op1(e11,e11) != e13,
inference('REWRITE',[status(thm)],[483,2080]) ).
cnf(2085,plain,
( op1(e11,e10) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[31,2083]) ).
cnf(2087,plain,
op1(e12,e13) != e11,
inference('REWRITE',[status(thm)],[120,760,theory(equality)]) ).
cnf(2088,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[12,2087]) ).
cnf(2089,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[35,2087]) ).
cnf(2093,plain,
op1(e13,e11) != e11,
inference('REWRITE',[status(thm)],[143,760,theory(equality)]) ).
cnf(2095,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference('REWRITE',[status(thm)],[28,2093]) ).
cnf(2096,plain,
op1(e13,e12) != e11,
inference('REWRITE',[status(thm)],[144,760,theory(equality)]) ).
cnf(2097,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[15,2096]) ).
cnf(2098,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[36,2096]) ).
cnf(2099,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[477,197,760,theory(equality)]) ).
cnf(2100,plain,
op1(e13,e11) = e13,
inference('REWRITE',[status(thm)],[488,760,theory(equality)]) ).
cnf(2103,plain,
op1(e10,e11) != e13,
inference('REWRITE',[status(thm)],[105,2100,theory(equality)]) ).
cnf(2104,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference('REWRITE',[status(thm)],[2,2103]) ).
cnf(2106,plain,
op1(e12,e11) != e13,
inference('REWRITE',[status(thm)],[108,2100,theory(equality)]) ).
cnf(2107,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[10,2106]) ).
cnf(2108,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[39,2106]) ).
cnf(2112,plain,
op1(e13,e12) != e13,
inference('REWRITE',[status(thm)],[142,2100,theory(equality)]) ).
cnf(2114,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[2097,2112]) ).
cnf(2116,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e12,e11)) != op1(e12,e11)
| op1(e11,e13) != e13 ),
inference('REWRITE',[status(thm)],[226,2100,theory(equality)]) ).
cnf(2211,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e10)) != e21
| h4(op1(e11,e11)) != e20
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != e22
| h4(op1(e13,e12)) != e20 ),
inference('REWRITE',[status(thm)],[2070,782,2100,theory(equality)]) ).
cnf(2214,plain,
op1(e11,e11) = e10,
inference('REWRITE',[status(thm)],[759,760,theory(equality)]) ).
cnf(2216,plain,
op1(e10,e11) != e10,
inference('REWRITE',[status(thm)],[103,2214,theory(equality)]) ).
cnf(2217,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[17,2216]) ).
cnf(2218,plain,
op1(e10,e10) != e11,
inference('REWRITE',[status(thm)],[478,2216]) ).
cnf(2219,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[1,2218]) ).
cnf(2220,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference('REWRITE',[status(thm)],[2079,2218]) ).
cnf(2222,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference('REWRITE',[status(thm)],[2104,2216]) ).
cnf(2223,plain,
op1(e12,e11) != e10,
inference('REWRITE',[status(thm)],[106,2214,theory(equality)]) ).
cnf(2224,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[33,2223]) ).
cnf(2225,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[2107,2223]) ).
cnf(2226,plain,
op1(e11,e10) != e10,
inference('REWRITE',[status(thm)],[127,2214,theory(equality)]) ).
cnf(2228,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference('REWRITE',[status(thm)],[18,2226]) ).
cnf(2229,plain,
op1(e11,e12) != e10,
inference('REWRITE',[status(thm)],[130,2214,theory(equality)]) ).
cnf(2230,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[7,2229]) ).
cnf(2232,plain,
op1(e11,e13) != e10,
inference('REWRITE',[status(thm)],[131,2214,theory(equality)]) ).
cnf(2233,plain,
( op1(e10,e13) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[2072,2232]) ).
cnf(2234,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[2081,2232]) ).
cnf(2235,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[481,2214,theory(equality)]) ).
cnf(2237,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[100,2235,theory(equality)]) ).
cnf(2239,plain,
( op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[2089,2237]) ).
cnf(2240,plain,
op1(e11,e12) != e11,
inference('REWRITE',[status(thm)],[128,2235,theory(equality)]) ).
cnf(2241,plain,
( op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[2098,2240]) ).
cnf(2242,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[2230,2240]) ).
cnf(2243,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,e11) != e11
| op1(e10,op1(e12,e10)) != op1(e12,e10)
| op1(e10,op1(e13,e10)) != op1(e13,e10) ),
inference('REWRITE',[status(thm)],[221,2235,theory(equality)]) ).
cnf(2275,plain,
( op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[2085,197,2235,theory(equality)]) ).
cnf(2278,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,e11) != e11
| op1(e11,op1(e12,e11)) != op1(e12,e11)
| op1(e11,e13) != e13 ),
inference('REWRITE',[status(thm)],[2116,2235,theory(equality)]) ).
cnf(2294,plain,
op1(e13,e10) = e12,
inference('REWRITE',[status(thm)],[762,2214,theory(equality)]) ).
cnf(2295,plain,
op1(e10,e10) != e12,
inference('REWRITE',[status(thm)],[99,2294,theory(equality)]) ).
cnf(2297,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[2219,2295]) ).
cnf(2298,plain,
op1(e12,e10) != e12,
inference('REWRITE',[status(thm)],[102,2294,theory(equality)]) ).
cnf(2300,plain,
op1(e12,e12) != e10,
inference('REWRITE',[status(thm)],[484,2298]) ).
cnf(2301,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[11,2300]) ).
cnf(2302,plain,
( op1(e12,e10) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[2224,2300]) ).
cnf(2305,plain,
op1(e13,e12) != e12,
inference('REWRITE',[status(thm)],[140,2294,theory(equality)]) ).
cnf(2306,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[38,2305]) ).
cnf(2307,plain,
op1(e13,e12) = e10,
inference('REWRITE',[status(thm)],[2114,2305]) ).
cnf(2308,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[111,2307,theory(equality)]) ).
cnf(2310,plain,
( op1(e10,e10) = e10
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[2217,2308]) ).
cnf(2329,plain,
( op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12)
| op1(e12,e10) != e10 ),
inference('REWRITE',[status(thm)],[391,2307,theory(equality)]) ).
cnf(2391,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference('REWRITE',[status(thm)],[2228,194,2294,theory(equality)]) ).
cnf(2392,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,e11) != e11
| op1(e10,op1(e12,e10)) != op1(e12,e10)
| op1(e10,e12) != e12 ),
inference('REWRITE',[status(thm)],[2243,2294,theory(equality)]) ).
cnf(2408,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference('REWRITE',[status(thm)],[2095,193,2214,theory(equality)]) ).
cnf(2409,plain,
( op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[2099,193,2214,theory(equality)]) ).
cnf(2443,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23) ),
inference('REWRITE',[status(thm)],[2211,2307,1625,2294,1867,786,2235,2214,theory(equality)]) ).
cnf(2445,plain,
( h1(e11) = e20
| op2(e20,e22) != e23 ),
inference('PARAMODULATE',[status(thm)],[1672,1962,theory(equality)]) ).
cnf(2446,plain,
( h1(e11) = e20
| op2(e22,e20) != e23 ),
inference('PARAMODULATE',[status(thm)],[1669,1962,theory(equality)]) ).
cnf(2448,plain,
( h1(e11) = e20
| h1(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1725,1962,theory(equality)]),764,theory(equality)]) ).
cnf(2449,plain,
( h1(e11) = e20
| op2(e22,e23) != e22 ),
inference('PARAMODULATE',[status(thm)],[1511,2068,theory(equality)]) ).
cnf(2450,plain,
( h1(e11) = e20
| op2(e22,e21) != e22 ),
inference('PARAMODULATE',[status(thm)],[1510,2068,theory(equality)]) ).
cnf(2452,plain,
( h1(e11) = e20
| op2(e20,e22) != e22 ),
inference('PARAMODULATE',[status(thm)],[1506,2068,theory(equality)]) ).
cnf(2461,plain,
( op2(e20,e21) = e21
| op2(e22,e21) != e22 ),
inference('PARAMODULATE',[status(thm)],[152,1875,theory(equality)]) ).
cnf(2483,plain,
( op1(e10,e11) = e11
| op1(e12,e12) != e11 ),
inference('PARAMODULATE',[status(thm)],[110,2220,theory(equality)]) ).
cnf(2484,plain,
( op1(e10,e11) = e11
| op1(e10,e13) != e12 ),
inference('PARAMODULATE',[status(thm)],[125,2222,theory(equality)]) ).
cnf(2491,plain,
( op1(e11,e13) = e12
| op1(e11,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[132,2234,theory(equality)]) ).
cnf(2492,plain,
( op1(e11,e13) = e12
| op1(e12,e13) != e13 ),
inference('PARAMODULATE',[status(thm)],[118,2234,theory(equality)]) ).
cnf(2495,plain,
( op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[485,2241]) ).
cnf(2501,plain,
( op1(e11,e12) = e13
| op1(e10,e13) != e13 ),
inference('PARAMODULATE',[status(thm)],[115,2275,theory(equality)]) ).
cnf(2508,plain,
( op1(e10,e10) = e10
| op1(e12,e10) != e13 ),
inference('PARAMODULATE',[status(thm)],[98,2297,theory(equality)]) ).
cnf(2513,plain,
( op1(e10,e10) = e10
| op1(e12,e13) != e10 ),
inference('PARAMODULATE',[status(thm)],[116,2310,theory(equality)]) ).
cnf(2514,plain,
( op1(e10,e10) = e10
| op1(e12,e13) != e12 ),
inference('PARAMODULATE',[status(thm)],[138,2409,theory(equality)]) ).
cnf(2518,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2241,2409,theory(equality)]),196]) ).
cnf(2519,plain,
( op1(e10,e10) = e10
| op1(e12,e11) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2239,2409,theory(equality)]),196]) ).
cnf(2531,plain,
( op2(e22,e20) = e23
| h3(e11) = e23
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1886,1789,theory(equality)]),201]) ).
cnf(2532,plain,
( op2(e20,e22) = e23
| h3(e11) = e23
| op2(e21,e23) != e23 ),
inference('PARAMODULATE',[status(thm)],[180,1794,theory(equality)]) ).
cnf(2535,plain,
( op2(e22,e21) = e22
| h3(e11) = e22
| op2(e22,e20) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1952,1949,theory(equality)]),200]) ).
cnf(2536,plain,
( op2(e22,e21) = e22
| h3(e11) = e22
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1886,1949,theory(equality)]),200]) ).
cnf(2558,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e23) != e23 ),
inference('PARAMODULATE',[status(thm)],[174,1959,theory(equality)]) ).
cnf(2565,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e10) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2302,2074,theory(equality)]),194]) ).
cnf(2569,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e10) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2302,2076,theory(equality)]),195]) ).
cnf(2580,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2233,2108,theory(equality)]),195]) ).
cnf(2596,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[486,2301]) ).
cnf(2602,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2241,2306,theory(equality)]),196]) ).
cnf(2644,plain,
( h1(e11) = e23
| op2(e20,h1(e11)) != h1(e11)
| op2(e20,e21) != e21
| op2(e20,e23) != e23
| op2(e20,e22) != e22 ),
inference('PARAMODULATE',[status(thm)],[2057,1929,theory(equality)]) ).
cnf(2714,plain,
( op1(e11,e12) = e13
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,e11) != e11
| op1(e11,op1(e12,e11)) != op1(e12,e11) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2278,2275,theory(equality)]),theory(equality)]) ).
cnf(2870,plain,
( h1(e11) = e20
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| op2(e22,h3(e11)) != h3(e11) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1984,2044,theory(equality)]),theory(equality)]) ).
cnf(3244,plain,
( op1(e10,e10) = e10
| op1(e12,op1(e10,e12)) != op1(e10,e12)
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2329,2391,theory(equality)]),theory(equality)]) ).
cnf(3333,plain,
( op1(e10,e11) = e11
| h4(op1(e10,e10)) != h1(e11)
| op2(e20,e21) != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2443,2222,theory(equality)]),1625,theory(equality)]) ).
cnf(4413,plain,
( h1(e10) = e21
| op2(e20,e23) != e20 ),
inference('PARAMODULATE',[status(thm)],[1673,2448,theory(equality)]) ).
cnf(4414,plain,
( h1(e10) = e21
| op2(e22,e20) != e20 ),
inference('PARAMODULATE',[status(thm)],[1669,2448,theory(equality)]) ).
cnf(4423,plain,
( h1(e10) = e21
| h1(e11) != e20
| op2(e20,e21) != e21
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,e23) != e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1943,2448,theory(equality)]),769,theory(equality)]) ).
cnf(4448,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2445,1959]) ).
cnf(4449,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2449,1757]) ).
cnf(4450,plain,
( op2(e20,e21) = e22
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2450,2069]) ).
cnf(4451,plain,
( op2(e22,e21) = e21
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2450,1878]) ).
cnf(4589,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e11,e13) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[2492,2088]) ).
cnf(4667,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e11,e12) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2501,2078]) ).
cnf(4801,plain,
( h1(e11) = e20
| op2(e20,e23) != e22 ),
inference('PARAMODULATE',[status(thm)],[173,4450,theory(equality)]) ).
cnf(5018,plain,
( h3(e11) = e22
| op2(e22,e20) = e20
| op2(e20,e21) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[2461,2535]) ).
cnf(5048,plain,
( op2(e22,e21) = e22
| h3(e11) = e22
| h1(e10) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[4413,2536]) ).
cnf(5256,plain,
( op1(e10,e13) = e12
| op1(e12,e10) = e10
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2275,2565,theory(equality)]),198]) ).
cnf(5327,plain,
( op1(e10,e13) = e13
| op1(e12,e10) = e10
| op1(e11,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[132,2569,theory(equality)]) ).
cnf(5814,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2233,2596,theory(equality)]),194]) ).
cnf(5917,plain,
( op2(e20,e22) = e21
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2452,4448]) ).
cnf(5935,plain,
( op2(e20,e23) = e22
| h1(e11) = e20
| op2(e21,e22) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1928,4449,theory(equality)]),204]) ).
cnf(6099,plain,
( h3(e11) = e22
| op2(e20,e21) = e21
| h1(e10) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[4414,5018]) ).
cnf(6344,plain,
( op1(e12,e13) = e10
| op1(e11,e13) = e12
| op1(e10,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2514,4589]) ).
cnf(6578,plain,
( op1(e10,e13) = e10
| op1(e11,e12) = e13
| op1(e10,e11) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2484,4667]) ).
cnf(7170,plain,
( op1(e12,e10) = e10
| op1(e11,e12) = e13
| op1(e10,e11) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2484,5256]) ).
cnf(7633,plain,
( h1(e11) = e20
| op2(e21,e22) = e23 ),
inference('HYPERRESOLVE',[status(thm)],[4801,5935]) ).
cnf(7636,plain,
( h1(e11) = e20
| h3(e11) != e23 ),
inference('PARAMODULATE',[status(thm)],[1507,7633,theory(equality)]) ).
cnf(7866,plain,
( op1(e11,e13) = e12
| op1(e10,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2513,6344]) ).
cnf(7867,plain,
( op1(e10,e10) = e10
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2275,7866,theory(equality)]),198]) ).
cnf(7902,plain,
( op1(e10,e10) = e10
| op1(e12,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[112,7867,theory(equality)]) ).
cnf(8565,plain,
( op1(e12,e10) = e10
| op1(e10,e11) = e11
| op1(e10,e13) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[5327,7170]) ).
cnf(8566,plain,
( op1(e12,e10) = e10
| op1(e10,e11) = e11
| op1(e11,e13) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[2491,7170]) ).
cnf(11270,plain,
( h1(e11) = e23
| op2(e20,e22) = e23
| op2(e20,h1(e11)) != h1(e11)
| op2(e20,e21) != e21
| op2(e20,e22) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2644,1786,theory(equality)]),theory(equality)]) ).
cnf(11599,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e13
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,e11) != e11
| op1(e11,e12) != e12 ),
inference('PARAMODULATE',[status(thm)],[2714,2495,theory(equality)]) ).
cnf(11697,plain,
( h1(e10) = e21
| op2(e20,e22) = e23
| h1(e11) != e20
| op2(e20,e21) != e21
| op2(e20,e22) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11270,2448,theory(equality)]),769,201,theory(equality)]) ).
cnf(11703,plain,
( h1(e10) = e21
| op2(e20,e22) = e23
| op2(e20,e21) != e21
| op2(e20,e22) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11697,2448,theory(equality)]),theory(equality)]) ).
cnf(11704,plain,
( h3(e11) = e22
| h1(e10) = e21
| op2(e20,e22) = e23
| op2(e20,e22) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11703,6099,theory(equality)]),theory(equality)]) ).
cnf(11778,plain,
( h1(e10) = e21
| op2(e20,e21) != e21
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,e23) != e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4423,2448,theory(equality)]),theory(equality)]) ).
cnf(11782,plain,
( h3(e11) = e22
| h1(e10) = e21
| op2(e21,op2(e22,e21)) != op2(e22,e21)
| op2(e21,e23) != e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11778,6099,theory(equality)]),theory(equality)]) ).
cnf(11791,plain,
( h3(e11) = e22
| h1(e10) = e21
| op2(e21,e22) != e22
| op2(e21,e23) != e23 ),
inference('PARAMODULATE',[status(thm)],[11782,5048,theory(equality)]) ).
cnf(11798,plain,
( op2(e20,e22) = e22
| h3(e11) = e22
| op2(e21,e22) = e23
| h1(e10) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[11791,1956,1928]) ).
cnf(11811,plain,
( op2(e20,e22) = e22
| h3(e11) = e22
| h1(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1956,11798,theory(equality)]),204]) ).
cnf(11812,plain,
( h3(e11) = e22
| h1(e10) = e21
| op2(e20,e22) = e23 ),
inference('HYPERRESOLVE',[status(thm)],[11704,11811]) ).
cnf(11832,plain,
( h3(e11) = e22
| h1(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11811,11812,theory(equality)]),204]) ).
cnf(12227,plain,
( h1(e11) = e20
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22)
| h3(e11) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2870,2068,theory(equality)]),779,theory(equality)]) ).
cnf(12232,plain,
( h1(e11) = e20
| op2(e22,op2(e20,e22)) != op2(e20,e22)
| op2(e22,op2(e21,e22)) != op2(e21,e22) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12227,2068,theory(equality)]),theory(equality)]) ).
cnf(12233,plain,
( h1(e11) = e20
| op2(e22,e21) != e21
| op2(e22,op2(e21,e22)) != op2(e21,e22) ),
inference('PARAMODULATE',[status(thm)],[12232,5917,theory(equality)]) ).
cnf(12236,plain,
( h1(e11) = e20
| op2(e22,op2(e21,e22)) != op2(e21,e22) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12233,4451,theory(equality)]),theory(equality)]) ).
cnf(12237,plain,
( h1(e11) = e20
| op2(e22,e23) != e23 ),
inference('PARAMODULATE',[status(thm)],[12236,7633,theory(equality)]) ).
cnf(12238,plain,
( op2(e22,e20) = e23
| h3(e11) = e23
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[12237,1789]) ).
cnf(12241,plain,
( h3(e11) = e23
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2446,12238]) ).
cnf(12242,plain,
h1(e11) = e20,
inference('HYPERRESOLVE',[status(thm)],[7636,12241]) ).
cnf(12243,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[769,12242,theory(equality)]) ).
cnf(12244,plain,
op2(e22,e20) != e20,
inference('REWRITE',[status(thm)],[1669,12242,theory(equality)]) ).
cnf(12245,plain,
op2(e22,e23) = e20,
inference('REWRITE',[status(thm)],[1952,12244]) ).
cnf(12246,plain,
op2(e20,e23) != e20,
inference('REWRITE',[status(thm)],[164,12245,theory(equality)]) ).
cnf(12247,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[1761,12246]) ).
cnf(12248,plain,
( op2(e22,e20) = e23
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[2531,12246]) ).
cnf(12305,plain,
h3(e11) != e23,
inference('REWRITE',[status(thm)],[1541,200,12245,theory(equality)]) ).
cnf(12307,plain,
( op2(e20,e22) = e23
| op2(e21,e23) != e23 ),
inference('REWRITE',[status(thm)],[2532,12305]) ).
cnf(12352,plain,
op2(e22,e20) = e23,
inference('REWRITE',[status(thm)],[12248,12305]) ).
cnf(12445,plain,
h1(e10) = e20,
inference('REWRITE',[status(thm)],[1725,12243,12242,theory(equality)]) ).
cnf(12448,plain,
h3(e11) = e22,
inference('REWRITE',[status(thm)],[11832,199,12445,theory(equality)]) ).
cnf(12450,plain,
op2(e20,e22) != e22,
inference('REWRITE',[status(thm)],[1506,12448,theory(equality)]) ).
cnf(12453,plain,
( op2(e20,e22) = e21
| op2(e20,e23) != e23 ),
inference('REWRITE',[status(thm)],[2558,12450]) ).
cnf(12470,plain,
op2(e21,e22) != e22,
inference('REWRITE',[status(thm)],[1507,12448,theory(equality)]) ).
cnf(12471,plain,
op2(e21,e22) = e23,
inference('REWRITE',[status(thm)],[1894,12470]) ).
cnf(12472,plain,
op2(e20,e22) != e23,
inference('REWRITE',[status(thm)],[157,12471,theory(equality)]) ).
cnf(12473,plain,
op2(e21,e23) != e23,
inference('REWRITE',[status(thm)],[12307,12472]) ).
cnf(12474,plain,
op2(e21,e23) = e22,
inference('REWRITE',[status(thm)],[1887,12473]) ).
cnf(12475,plain,
op2(e20,e23) != e22,
inference('REWRITE',[status(thm)],[163,12474,theory(equality)]) ).
cnf(12476,plain,
op2(e20,e23) = e23,
inference('REWRITE',[status(thm)],[12247,12475]) ).
cnf(12477,plain,
op2(e20,e22) = e21,
inference('REWRITE',[status(thm)],[12453,12476,theory(equality)]) ).
cnf(12478,plain,
op2(e20,e21) != e21,
inference('REWRITE',[status(thm)],[172,12477,theory(equality)]) ).
cnf(12479,plain,
op2(e20,e21) = e22,
inference('REWRITE',[status(thm)],[1875,12478]) ).
cnf(12480,plain,
op2(e22,e21) != e22,
inference('REWRITE',[status(thm)],[152,12479,theory(equality)]) ).
cnf(12481,plain,
op2(e22,e21) = e21,
inference('REWRITE',[status(thm)],[1878,12480]) ).
cnf(12487,plain,
( op1(e10,e11) = e11
| h4(op1(e10,e10)) != e20
| h4(op1(e10,e12)) != e21
| h4(op1(e10,e13)) != e23
| h4(op1(e11,e12)) != e23
| h4(op1(e11,e13)) != e22
| h4(op1(e12,e10)) != e23
| h4(op1(e12,e11)) != e21
| h4(op1(e12,e12)) != e22
| h4(op1(e12,e13)) != e20 ),
inference('REWRITE',[status(thm)],[3333,12245,12448,12481,12352,12474,12471,12476,12477,12479,12242,theory(equality)]) ).
cnf(12595,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,e11) != e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11599,2602,theory(equality)]),198,theory(equality)]) ).
cnf(12697,plain,
( op1(e10,e10) = e10
| op1(e12,e11) != e11
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) ),
inference('PARAMODULATE',[status(thm)],[3244,2518,theory(equality)]) ).
cnf(12701,plain,
( op1(e10,e10) = e10
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,op1(e12,e12)) != op1(e12,e12) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12697,2519,theory(equality)]),theory(equality)]) ).
cnf(12702,plain,
( op1(e10,e10) = e10
| op1(e12,op1(e11,e12)) != op1(e11,e12)
| op1(e12,e12) != e12 ),
inference('PARAMODULATE',[status(thm)],[12701,2409,theory(equality)]) ).
cnf(12705,plain,
( op1(e10,e10) = e10
| op1(e12,op1(e11,e12)) != op1(e11,e12) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12702,2409,theory(equality)]),theory(equality)]) ).
cnf(12706,plain,
( op1(e10,e10) = e10
| op1(e12,e13) != e13 ),
inference('PARAMODULATE',[status(thm)],[12705,7867,theory(equality)]) ).
cnf(12707,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e10,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[12706,2108]) ).
cnf(12710,plain,
( op1(e12,e10) = e13
| op1(e10,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[7902,12707]) ).
cnf(12711,plain,
op1(e10,e10) = e10,
inference('HYPERRESOLVE',[status(thm)],[2508,12710]) ).
cnf(12712,plain,
op1(e12,e10) != e10,
inference('REWRITE',[status(thm)],[98,12711,theory(equality)]) ).
cnf(12713,plain,
op1(e12,e13) = e10,
inference('REWRITE',[status(thm)],[2302,12712]) ).
cnf(12714,plain,
op1(e10,e13) != e10,
inference('REWRITE',[status(thm)],[116,12713,theory(equality)]) ).
cnf(12715,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[2078,12714]) ).
cnf(12720,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[2580,12714]) ).
cnf(12745,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[5814,12714]) ).
cnf(12746,plain,
( op1(e11,e12) = e13
| op1(e10,e11) = e11 ),
inference('REWRITE',[status(thm)],[6578,12714]) ).
cnf(12766,plain,
op1(e12,e12) != e13,
inference('REWRITE',[status(thm)],[486,194,12713,theory(equality)]) ).
cnf(12767,plain,
op1(e12,e10) = e13,
inference('REWRITE',[status(thm)],[12720,12766]) ).
cnf(12818,plain,
( op1(e10,e11) = e11
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[8565,12712]) ).
cnf(12819,plain,
( op1(e10,e11) = e11
| op1(e11,e13) = e12 ),
inference('REWRITE',[status(thm)],[8566,12712]) ).
cnf(12868,plain,
( op1(e10,e11) != e11
| op1(e10,e13) != e13
| op1(e10,e12) != e12 ),
inference('REWRITE',[status(thm)],[2392,12767,12711,theory(equality)]) ).
cnf(12923,plain,
( op1(e10,e11) = e11
| h4(op1(e10,e12)) != e21
| h4(op1(e10,e13)) != e23
| h4(op1(e11,e12)) != e23
| h4(op1(e11,e13)) != e22
| h4(op1(e12,e11)) != e21
| h4(op1(e12,e12)) != e22 ),
inference('REWRITE',[status(thm)],[12487,12713,782,12767,1867,12711,theory(equality)]) ).
cnf(12945,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e11) != e11 ),
inference('REWRITE',[status(thm)],[12595,12711,theory(equality)]) ).
cnf(12992,plain,
( op1(e10,e11) = e11
| h4(op1(e10,e13)) != e23
| h4(op1(e11,e12)) != e23
| h4(op1(e11,e13)) != e22
| h4(op1(e12,e11)) != e21
| h4(op1(e12,e12)) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12923,2220,theory(equality)]),786,theory(equality)]) ).
cnf(12993,plain,
( op1(e10,e11) = e11
| h4(op1(e10,e13)) != e23
| h4(op1(e11,e12)) != e23
| h4(op1(e11,e13)) != e22
| h4(op1(e12,e12)) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12992,2408,theory(equality)]),786,theory(equality)]) ).
cnf(12994,plain,
( op1(e10,e11) = e11
| h4(op1(e10,e13)) != e23
| h4(op1(e11,e13)) != e22
| h4(op1(e12,e12)) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12993,12746,theory(equality)]),782,theory(equality)]) ).
cnf(12995,plain,
( op1(e10,e11) = e11
| h4(op1(e11,e13)) != e22
| h4(op1(e12,e12)) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12994,12818,theory(equality)]),782,theory(equality)]) ).
cnf(12996,plain,
( op1(e10,e11) = e11
| h4(op1(e12,e12)) != e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12995,12819,theory(equality)]),1625,theory(equality)]) ).
cnf(12997,plain,
( op1(e12,e12) = e11
| op1(e10,e11) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12996,12745,theory(equality)]),1625,theory(equality)]) ).
cnf(13000,plain,
op1(e10,e11) = e11,
inference('HYPERRESOLVE',[status(thm)],[2483,12997]) ).
cnf(13001,plain,
op1(e12,e11) != e11,
inference('REWRITE',[status(thm)],[104,13000,theory(equality)]) ).
cnf(13002,plain,
op1(e12,e11) = e12,
inference('REWRITE',[status(thm)],[2225,13001]) ).
cnf(13003,plain,
op1(e12,e12) != e12,
inference('REWRITE',[status(thm)],[136,13002,theory(equality)]) ).
cnf(13005,plain,
op1(e12,e12) = e11,
inference('REWRITE',[status(thm)],[12745,13003]) ).
cnf(13006,plain,
op1(e10,e12) != e11,
inference('REWRITE',[status(thm)],[110,13005,theory(equality)]) ).
cnf(13022,plain,
( op1(e10,e13) != e13
| op1(e10,e12) != e12 ),
inference('REWRITE',[status(thm)],[12868,13000,theory(equality)]) ).
cnf(13030,plain,
op1(e10,e12) = e12,
inference('REWRITE',[status(thm)],[12945,13006,13000,theory(equality)]) ).
cnf(13031,plain,
op1(e11,e12) != e12,
inference('REWRITE',[status(thm)],[109,13030,theory(equality)]) ).
cnf(13032,plain,
op1(e11,e12) = e13,
inference('REWRITE',[status(thm)],[2242,13031]) ).
cnf(13033,plain,
op1(e11,e13) != e13,
inference('REWRITE',[status(thm)],[132,13032,theory(equality)]) ).
cnf(13034,plain,
op1(e11,e13) = e12,
inference('REWRITE',[status(thm)],[2234,13033]) ).
cnf(13035,plain,
op1(e10,e13) != e12,
inference('REWRITE',[status(thm)],[115,13034,theory(equality)]) ).
cnf(13036,plain,
op1(e10,e13) = e13,
inference('REWRITE',[status(thm)],[12715,13035]) ).
cnf(13037,plain,
$false,
inference('REWRITE',[status(thm)],[13022,13036,13030,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Thu Jun 9 05:51:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T05:51:05
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-09T05:51:05
% 62.88/63.14
% 62.88/63.14
% 62.88/63.14 #||
% 62.88/63.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 62.88/63.14 % SZS output start Refutation
% See solution above
% 62.94/63.20 ||#
% 62.94/63.20
% 62.94/63.20 ; Summary of computation:
% 62.94/63.20 ; 87421 formulas have been input or derived (from 2167 formulas).
% 62.94/63.20 ; 13037 (15%) were retained. Of these,
% 62.94/63.20 ; 12960 (99%) were simplified or subsumed later,
% 62.94/63.20 ; 77 ( 1%) are still being kept.
% 62.94/63.20 ;
% 62.94/63.20 ; Run time in seconds excluding printing time:
% 62.94/63.20 ; 0.052 0% Read assertion file (1 call)
% 62.94/63.20 ; 0.811 1% Assert (18 calls)
% 62.94/63.20 ; 4.833 8% Process new row (86,721 calls)
% 62.94/63.20 ; 1.109 2% Resolution (4,332 calls)
% 62.94/63.20 ; 2.475 4% Paramodulation (2,166 calls)
% 62.94/63.20 ; 0.003 0% Factoring (459 calls)
% 62.94/63.20 ; 0.099 0% Condensing (36,397 calls)
% 62.94/63.20 ; 36.731 59% Forward subsumption (36,397 calls)
% 62.94/63.20 ; 3.538 6% Backward subsumption (12,387 calls)
% 62.94/63.20 ; 2.131 3% Clause clause subsumption (150,820 calls)
% 62.94/63.20 ; 7.654 12% Forward simplification (80,473 calls)
% 62.94/63.20 ; 2.044 3% Backward simplification (12,669 calls)
% 62.94/63.20 ; 0.719 1% Ordering (469,255 calls)
% 62.94/63.20 ; 0.000 0% Sortal reasoning (32 calls)
% 62.94/63.20 ; 0.010 0% Purity testing (1 call)
% 62.94/63.20 ; 0.418 1% Other
% 62.94/63.20 ; 62.627 Total
% 62.94/63.20 ; 62.739 Real time
% 62.94/63.20 ;
% 62.94/63.20 ; Term-hash-array has 932 terms in all.
% 62.94/63.20 ; Feature-vector-row-index has 0 entries (8,950 at peak, 12,387 added, 12,387 deleted).
% 62.94/63.20 ; Feature-vector-row-index has 1 node (111,477 at peak, 149,415 added, 149,414 deleted).
% 62.94/63.20 ; Retrieved 404,364 possibly forward subsuming rows in 36,397 calls.
% 62.94/63.20 ; Retrieved 18,441 possibly backward subsumed rows in 12,387 calls.
% 62.94/63.20 ; Path-index has 132 entries (662 at peak, 1,744 added, 1,612 deleted).
% 62.94/63.20 ; Path-index has 178 nodes (326 at peak, 756 added, 578 deleted).
% 62.94/63.20 ; Trie-index has 132 entries (662 at peak, 1,744 added, 1,612 deleted).
% 62.94/63.20 ; Trie-index has 217 nodes (1,336 at peak, 4,008 added, 3,791 deleted).
% 62.94/63.20 ; Retrieved 209,406 generalization terms in 1,366,773 calls.
% 62.94/63.20 ; Retrieved 281 instance terms in 281 calls.
% 62.94/63.20 ; Retrieved 9,156 unifiable terms in 21,629 calls.
% 62.94/63.20 ;
% 62.94/63.20 ; The agenda of backward simplifiable rows to process has 22 entries:
% 62.94/63.20 ; 22 with value 0
% 62.94/63.20 ; The agenda of rows to process has 28 entries:
% 62.94/63.20 ; 4 with value 19 1 with value 23 2 with value 33
% 62.94/63.20 ; 1 with value 21 8 with value 26 7 with value 41
% 62.94/63.20 ; 4 with value 22 1 with value 29
% 62.94/63.20 ; The agenda of input rows to give has 4 entries:
% 62.94/63.20 ; 4 with value 7
% 62.94/63.20 ; The agenda of rows to give has 3 entries:
% 62.94/63.20 ; 1 with value (4 9) 1 with value (4 10) 1 with value (4 15)
% 62.94/63.20 Evaluation took:
% 62.94/63.20 62.739 seconds of real time
% 62.94/63.20 60.323124 seconds of user run time
% 62.94/63.20 2.362897 seconds of system run time
% 62.94/63.20 [Run times include 5.666 seconds GC run time.]
% 62.94/63.20 0 calls to %EVAL
% 62.94/63.20 0 page faults and
% 62.94/63.20 5,223,145,992 bytes consed.
% 62.94/63.20 :PROOF-FOUND
% 62.94/63.20 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T05:52:07
% 62.94/63.20 :PROOF-FOUND
% 62.94/63.20 *
%------------------------------------------------------------------------------