TSTP Solution File: ALG116+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 17:59:55 EDT 2022
% Result : Theorem 173.13s 173.33s
% Output : Refutation 173.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 188
% Syntax : Number of clauses : 659 ( 228 unt; 403 nHn; 659 RR)
% Number of literals : 1815 (1814 equ; 327 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(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(6,axiom,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = 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(13,axiom,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = 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(20,axiom,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(22,axiom,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(23,axiom,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(25,axiom,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(27,axiom,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,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(29,axiom,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(30,axiom,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(32,axiom,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = 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(34,axiom,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = 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(37,axiom,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
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(45,axiom,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(47,axiom,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
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(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(57,axiom,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = 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(60,axiom,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(61,axiom,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = 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(65,axiom,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
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(67,axiom,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(68,axiom,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
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(77,axiom,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
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(80,axiom,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(83,axiom,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(84,axiom,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
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(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(95,axiom,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(96,axiom,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(97,axiom,
op1(e10,e10) != op1(e11,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
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(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(107,axiom,
op1(e11,e11) != op1(e13,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(113,axiom,
op1(e11,e12) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(114,axiom,
op1(e12,e12) != op1(e13,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(121,axiom,
op1(e10,e10) != op1(e10,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(122,axiom,
op1(e10,e10) != op1(e10,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(123,axiom,
op1(e10,e10) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(124,axiom,
op1(e10,e11) != op1(e10,e12),
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(126,axiom,
op1(e10,e12) != 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(129,axiom,
op1(e11,e10) != op1(e11,e13),
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(133,axiom,
op1(e12,e10) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(135,axiom,
op1(e12,e10) != op1(e12,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(137,axiom,
op1(e12,e11) != op1(e12,e13),
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(139,axiom,
op1(e13,e10) != op1(e13,e11),
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(141,axiom,
op1(e13,e10) != op1(e13,e13),
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(147,axiom,
op2(e20,e20) != op2(e23,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(155,axiom,
op2(e21,e21) != op2(e23,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(160,axiom,
op2(e21,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(161,axiom,
op2(e21,e22) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(162,axiom,
op2(e22,e22) != op2(e23,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(166,axiom,
op2(e21,e23) != op2(e22,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(168,axiom,
op2(e22,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(169,axiom,
op2(e20,e20) != op2(e20,e21),
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(177,axiom,
op2(e21,e20) != op2(e21,e23),
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(181,axiom,
op2(e22,e20) != op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(182,axiom,
op2(e22,e20) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(183,axiom,
op2(e22,e20) != op2(e22,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(185,axiom,
op2(e22,e21) != 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(189,axiom,
op2(e23,e20) != op2(e23,e23),
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(352,axiom,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(406,axiom,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(408,axiom,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(414,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(426,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(436,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e11
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(453,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(454,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(455,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(456,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(458,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(464,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(474,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(476,axiom,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(632,axiom,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(666,axiom,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(670,axiom,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(682,axiom,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e23),op2(e22,e23)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(718,axiom,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(720,axiom,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(728,axiom,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(730,axiom,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(732,axiom,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(733,axiom,
e10 = op1(e13,op1(e13,e13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(734,axiom,
op1(e13,e13) = e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(735,axiom,
e12 = op1(op1(e13,op1(e13,e13)),e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(736,plain,
e12 = op1(op1(e13,e11),e13),
inference('REWRITE',[status(thm)],[735,734,theory(equality)]) ).
cnf(737,axiom,
e20 = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(738,axiom,
op2(e23,e23) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(739,axiom,
e22 = op2(op2(e23,op2(e23,e23)),e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(740,plain,
e22 = op2(op2(e23,e21),e23),
inference('REWRITE',[status(thm)],[739,738,theory(equality)]) ).
cnf(743,axiom,
h1(e11) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(748,axiom,
h2(e11) = op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(751,axiom,
h3(e13) = e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(752,axiom,
h3(e10) = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(753,axiom,
h3(e11) = op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(754,axiom,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
cnf(755,plain,
h3(e12) = op2(op2(e22,h3(e11)),e22),
inference('REWRITE',[status(thm)],[754,753,theory(equality)]) ).
cnf(757,axiom,
h4(e10) = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(758,plain,
h4(e10) = op2(e23,e21),
inference('REWRITE',[status(thm)],[757,738,theory(equality)]) ).
cnf(761,axiom,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(762,plain,
h4(e12) = op2(h4(e10),e23),
inference('REWRITE',[status(thm)],[761,758,738,theory(equality)]) ).
cnf(1263,negated_conjecture,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(e10) != e20
| h3(e12) != e21
| h3(e13) != e22
| h3(e11) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(1264,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),e22)
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(e10) != e20
| h3(e12) != e21
| h3(e11) != e23 ),
inference('REWRITE',[status(thm)],[1263,753,734,751,theory(equality)]) ).
cnf(1472,plain,
op2(e20,e21) != h4(e10),
inference('REWRITE',[status(thm)],[153,758,theory(equality)]) ).
cnf(1473,plain,
op2(e22,e21) != h4(e10),
inference('REWRITE',[status(thm)],[156,758,theory(equality)]) ).
cnf(1474,plain,
op2(e23,e20) != h4(e10),
inference('REWRITE',[status(thm)],[187,758,theory(equality)]) ).
cnf(1475,plain,
h4(e10) != op2(e23,e22),
inference('REWRITE',[status(thm)],[190,758,theory(equality)]) ).
cnf(1493,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| op2(h4(e10),h4(e10)) = e21 ),
inference('REWRITE',[status(thm)],[666,758,theory(equality)]) ).
cnf(1494,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e20
| op2(h4(e10),h4(e10)) = e21 ),
inference('REWRITE',[status(thm)],[670,758,theory(equality)]) ).
cnf(1496,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e23),op2(e22,e23)) = e23
| op2(h4(e10),h4(e10)) = e21 ),
inference('REWRITE',[status(thm)],[682,758,theory(equality)]) ).
cnf(1500,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| op2(h4(e10),h4(e10)) = e21 ),
inference('REWRITE',[status(thm)],[718,758,theory(equality)]) ).
cnf(1502,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| op2(h4(e10),h4(e10)) = e21 ),
inference('REWRITE',[status(thm)],[730,758,theory(equality)]) ).
cnf(1503,plain,
h4(e12) = e22,
inference('REWRITE',[status(thm)],[740,762,758,theory(equality)]) ).
cnf(1504,plain,
e22 = op2(h4(e10),e23),
inference('REWRITE',[status(thm)],[762,1503,theory(equality)]) ).
cnf(1510,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| h3(e11) = e21
| op2(e22,e23) = e21 ),
inference('REWRITE',[status(thm)],[83,753,theory(equality)]) ).
cnf(1511,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| h3(e11) = e21
| op2(e23,e22) = e21 ),
inference('REWRITE',[status(thm)],[84,753,theory(equality)]) ).
cnf(1514,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| h3(e11) = e23
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[87,753,theory(equality)]) ).
cnf(1516,plain,
op2(e20,e22) != h3(e11),
inference('REWRITE',[status(thm)],[158,753,theory(equality)]) ).
cnf(1517,plain,
op2(e21,e22) != h3(e11),
inference('REWRITE',[status(thm)],[160,753,theory(equality)]) ).
cnf(1518,plain,
h3(e11) != op2(e23,e22),
inference('REWRITE',[status(thm)],[162,753,theory(equality)]) ).
cnf(1519,plain,
op2(e22,e20) != h3(e11),
inference('REWRITE',[status(thm)],[182,753,theory(equality)]) ).
cnf(1520,plain,
op2(e22,e21) != h3(e11),
inference('REWRITE',[status(thm)],[184,753,theory(equality)]) ).
cnf(1549,plain,
h3(e10) = op2(e22,h3(e11)),
inference('REWRITE',[status(thm)],[752,753,theory(equality)]) ).
cnf(1550,plain,
h3(e12) = op2(h3(e10),e22),
inference('REWRITE',[status(thm)],[755,1549,theory(equality)]) ).
cnf(1558,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h3(e12)
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),e22)
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(op1(e13,e11)) != h3(e10)
| h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(e10) != e20
| h3(e12) != e21
| h3(e11) != e23 ),
inference('REWRITE',[status(thm)],[1264,1550,1549,theory(equality)]) ).
cnf(1583,plain,
( op2(e21,e20) = e22
| h2(e11) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference('REWRITE',[status(thm)],[77,748,theory(equality)]) ).
cnf(1584,plain,
( op2(e20,e21) = e22
| h2(e11) = e22
| op2(e22,e21) = e22
| h4(e10) = e22 ),
inference('REWRITE',[status(thm)],[78,758,748,theory(equality)]) ).
cnf(1586,plain,
( op2(e20,e21) = e23
| h2(e11) = e23
| op2(e22,e21) = e23
| h4(e10) = e23 ),
inference('REWRITE',[status(thm)],[80,758,748,theory(equality)]) ).
cnf(1587,plain,
op2(e20,e21) != h2(e11),
inference('REWRITE',[status(thm)],[151,748,theory(equality)]) ).
cnf(1588,plain,
h2(e11) != op2(e22,e21),
inference('REWRITE',[status(thm)],[154,748,theory(equality)]) ).
cnf(1589,plain,
h2(e11) != h4(e10),
inference('REWRITE',[status(thm)],[155,758,748,theory(equality)]) ).
cnf(1592,plain,
h2(e11) != op2(e21,e23),
inference('REWRITE',[status(thm)],[179,748,theory(equality)]) ).
cnf(1658,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[49,743,theory(equality)]) ).
cnf(1659,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[65,743,theory(equality)]) ).
cnf(1660,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference('REWRITE',[status(thm)],[66,743,theory(equality)]) ).
cnf(1661,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference('REWRITE',[status(thm)],[67,743,theory(equality)]) ).
cnf(1662,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference('REWRITE',[status(thm)],[68,743,theory(equality)]) ).
cnf(1665,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[71,743,theory(equality)]) ).
cnf(1668,plain,
h1(e11) != op2(e22,e20),
inference('REWRITE',[status(thm)],[146,743,theory(equality)]) ).
cnf(1669,plain,
h1(e11) != op2(e23,e20),
inference('REWRITE',[status(thm)],[147,743,theory(equality)]) ).
cnf(1670,plain,
h1(e11) != op2(e20,e21),
inference('REWRITE',[status(thm)],[169,743,theory(equality)]) ).
cnf(1671,plain,
h1(e11) != op2(e20,e22),
inference('REWRITE',[status(thm)],[170,743,theory(equality)]) ).
cnf(1672,plain,
h1(e11) != op2(e20,e23),
inference('REWRITE',[status(thm)],[171,743,theory(equality)]) ).
cnf(1751,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[90,199,738,theory(equality)]) ).
cnf(1754,plain,
( op2(e23,e20) = e23
| h4(e10) = e23
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[95,203,758,738,theory(equality)]) ).
cnf(1755,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[96,203,738,theory(equality)]) ).
cnf(1756,plain,
op2(e20,e23) != e21,
inference('REWRITE',[status(thm)],[165,738,theory(equality)]) ).
cnf(1758,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference('REWRITE',[status(thm)],[1661,1756]) ).
cnf(1759,plain,
op2(e21,e23) != e21,
inference('REWRITE',[status(thm)],[167,738,theory(equality)]) ).
cnf(1760,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[56,1759]) ).
cnf(1762,plain,
op2(e22,e23) != e21,
inference('REWRITE',[status(thm)],[168,738,theory(equality)]) ).
cnf(1763,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[60,1762]) ).
cnf(1764,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| h3(e11) = e21 ),
inference('REWRITE',[status(thm)],[1510,1762]) ).
cnf(1765,plain,
op2(e23,e20) != e21,
inference('REWRITE',[status(thm)],[189,738,theory(equality)]) ).
cnf(1766,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[61,1765]) ).
cnf(1767,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference('REWRITE',[status(thm)],[1662,1765]) ).
cnf(1771,plain,
op2(e23,e22) != e21,
inference('REWRITE',[status(thm)],[192,738,theory(equality)]) ).
cnf(1772,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[63,1771]) ).
cnf(1773,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| h3(e11) = e21 ),
inference('REWRITE',[status(thm)],[1511,1771]) ).
cnf(1812,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| op2(h2(e11),h2(e11)) = e21
| op2(h3(e11),h3(e11)) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[632,753,748,738,theory(equality)]) ).
cnf(1834,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[720,748,738,theory(equality)]) ).
cnf(1836,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(h3(e11),h3(e11)) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[728,748,753,738,theory(equality)]) ).
cnf(1837,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[732,748,738,theory(equality)]) ).
cnf(1838,plain,
h4(e10) = e20,
inference('REWRITE',[status(thm)],[737,758,738,theory(equality)]) ).
cnf(1839,plain,
op2(e23,e21) = e20,
inference('REWRITE',[status(thm)],[758,1838,theory(equality)]) ).
cnf(1840,plain,
op2(e20,e21) != e20,
inference('REWRITE',[status(thm)],[1472,1838,theory(equality)]) ).
cnf(1841,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference('REWRITE',[status(thm)],[50,1840]) ).
cnf(1842,plain,
( h1(e11) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[1659,1840]) ).
cnf(1843,plain,
op2(e22,e21) != e20,
inference('REWRITE',[status(thm)],[1473,1838,theory(equality)]) ).
cnf(1844,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference('REWRITE',[status(thm)],[58,1843]) ).
cnf(1846,plain,
op2(e23,e20) != e20,
inference('REWRITE',[status(thm)],[1474,1838,theory(equality)]) ).
cnf(1847,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference('REWRITE',[status(thm)],[1660,1846]) ).
cnf(1848,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference('REWRITE',[status(thm)],[1766,1846]) ).
cnf(1849,plain,
op2(e23,e22) != e20,
inference('REWRITE',[status(thm)],[1475,1838,theory(equality)]) ).
cnf(1851,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[1772,1849]) ).
cnf(1869,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1493,743,1838,theory(equality)]) ).
cnf(1870,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1494,743,1838,theory(equality)]) ).
cnf(1872,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e23),op2(e22,e23)) = e23
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1496,743,1838,theory(equality)]) ).
cnf(1876,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1500,743,1838,theory(equality)]) ).
cnf(1878,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1502,743,1838,theory(equality)]) ).
cnf(1879,plain,
op2(e20,e23) = e22,
inference('REWRITE',[status(thm)],[1504,1838,theory(equality)]) ).
cnf(1880,plain,
op2(e21,e23) != e22,
inference('REWRITE',[status(thm)],[163,1879,theory(equality)]) ).
cnf(1881,plain,
( op2(e21,e20) = e22
| h2(e11) = e22
| op2(e21,e22) = e22 ),
inference('REWRITE',[status(thm)],[1583,1880]) ).
cnf(1882,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[1760,1880]) ).
cnf(1883,plain,
op2(e22,e23) != e22,
inference('REWRITE',[status(thm)],[164,1879,theory(equality)]) ).
cnf(1885,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[1763,1883]) ).
cnf(1886,plain,
op2(e20,e21) != e22,
inference('REWRITE',[status(thm)],[173,1879,theory(equality)]) ).
cnf(1887,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference('REWRITE',[status(thm)],[1841,1886]) ).
cnf(1888,plain,
op2(e20,e22) != e22,
inference('REWRITE',[status(thm)],[174,1879,theory(equality)]) ).
cnf(1889,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference('REWRITE',[status(thm)],[51,1888]) ).
cnf(1923,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference('REWRITE',[status(thm)],[1665,204,1879,theory(equality)]) ).
cnf(1924,plain,
h1(e11) != e22,
inference('REWRITE',[status(thm)],[1672,1879,theory(equality)]) ).
cnf(1925,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[1658,1924]) ).
cnf(1927,plain,
( op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[1751,200,1879,theory(equality)]) ).
cnf(1928,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[1755,204,1879,theory(equality)]) ).
cnf(1941,plain,
( h3(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[1834,753,1879,theory(equality)]) ).
cnf(1943,plain,
( h3(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(h3(e11),h3(e11)) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[1836,753,1879,theory(equality)]) ).
cnf(1944,plain,
( h3(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[1837,753,1879,theory(equality)]) ).
cnf(1945,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference('REWRITE',[status(thm)],[1842,200,1879,theory(equality)]) ).
cnf(1946,plain,
( h3(e11) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1870,753,1879,theory(equality)]) ).
cnf(1948,plain,
( h3(e11) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| op2(op2(e22,e23),op2(e22,e23)) = e23
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1872,753,1879,theory(equality)]) ).
cnf(1952,plain,
( h3(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1876,753,1879,theory(equality)]) ).
cnf(1954,plain,
( h3(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[1878,753,1879,theory(equality)]) ).
cnf(1965,plain,
( h2(e11) = e22
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[1584,200,1886,1838,theory(equality)]) ).
cnf(1966,plain,
( op2(e20,e21) = e23
| h2(e11) = e23
| op2(e22,e21) = e23 ),
inference('REWRITE',[status(thm)],[1586,201,1838,theory(equality)]) ).
cnf(1967,plain,
h2(e11) != e20,
inference('REWRITE',[status(thm)],[1589,1838,theory(equality)]) ).
cnf(1999,plain,
( op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[1754,201,1838,theory(equality)]) ).
cnf(2001,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[42,193,734,theory(equality)]) ).
cnf(2002,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[45,196,734,theory(equality)]) ).
cnf(2004,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[47,197,734,theory(equality)]) ).
cnf(2005,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[48,197,734,theory(equality)]) ).
cnf(2006,plain,
op1(e10,e13) != e11,
inference('REWRITE',[status(thm)],[117,734,theory(equality)]) ).
cnf(2008,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference('REWRITE',[status(thm)],[19,2006]) ).
cnf(2009,plain,
op1(e11,e13) != e11,
inference('REWRITE',[status(thm)],[119,734,theory(equality)]) ).
cnf(2010,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[8,2009]) ).
cnf(2011,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference('REWRITE',[status(thm)],[27,2009]) ).
cnf(2012,plain,
op1(e12,e13) != e11,
inference('REWRITE',[status(thm)],[120,734,theory(equality)]) ).
cnf(2013,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[12,2012]) ).
cnf(2014,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[35,2012]) ).
cnf(2015,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[141,734,theory(equality)]) ).
cnf(2016,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[13,2015]) ).
cnf(2017,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference('REWRITE',[status(thm)],[20,2015]) ).
cnf(2018,plain,
op1(e13,e11) != e11,
inference('REWRITE',[status(thm)],[143,734,theory(equality)]) ).
cnf(2020,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference('REWRITE',[status(thm)],[28,2018]) ).
cnf(2021,plain,
op1(e13,e12) != e11,
inference('REWRITE',[status(thm)],[144,734,theory(equality)]) ).
cnf(2022,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[15,2021]) ).
cnf(2023,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[36,2021]) ).
cnf(2056,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[352,734,theory(equality)]) ).
cnf(2070,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[408,734,theory(equality)]) ).
cnf(2077,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e11
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[436,734,theory(equality)]) ).
cnf(2082,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[456,734,theory(equality)]) ).
cnf(2084,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[464,734,theory(equality)]) ).
cnf(2087,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[476,734,theory(equality)]) ).
cnf(2088,plain,
op1(e13,e11) = e10,
inference('REWRITE',[status(thm)],[733,734,theory(equality)]) ).
cnf(2089,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[30,194,2088,theory(equality)]) ).
cnf(2090,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[32,195,2088,theory(equality)]) ).
cnf(2091,plain,
op1(e10,e11) != e10,
inference('REWRITE',[status(thm)],[105,2088,theory(equality)]) ).
cnf(2092,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference('REWRITE',[status(thm)],[2,2091]) ).
cnf(2093,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[17,2091]) ).
cnf(2094,plain,
op1(e11,e11) != e10,
inference('REWRITE',[status(thm)],[107,2088,theory(equality)]) ).
cnf(2095,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[6,2094]) ).
cnf(2096,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference('REWRITE',[status(thm)],[25,2094]) ).
cnf(2097,plain,
op1(e12,e11) != e10,
inference('REWRITE',[status(thm)],[108,2088,theory(equality)]) ).
cnf(2098,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[10,2097]) ).
cnf(2099,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[33,2097]) ).
cnf(2100,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[139,2088,theory(equality)]) ).
cnf(2101,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference('REWRITE',[status(thm)],[18,2100]) ).
cnf(2102,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[2016,2100]) ).
cnf(2103,plain,
op1(e13,e12) != e10,
inference('REWRITE',[status(thm)],[142,2088,theory(equality)]) ).
cnf(2104,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10 ),
inference('REWRITE',[status(thm)],[34,2103]) ).
cnf(2105,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[2022,2103]) ).
cnf(2152,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[406,2088,theory(equality)]) ).
cnf(2154,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[414,2088,theory(equality)]) ).
cnf(2157,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[426,2088,theory(equality)]) ).
cnf(2164,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[454,2088,theory(equality)]) ).
cnf(2165,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[458,2088,theory(equality)]) ).
cnf(2169,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[474,2088,theory(equality)]) ).
cnf(2170,plain,
op1(e10,e13) = e12,
inference('REWRITE',[status(thm)],[736,2088,theory(equality)]) ).
cnf(2171,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[23,198,2170,theory(equality)]) ).
cnf(2172,plain,
op1(e11,e13) != e12,
inference('REWRITE',[status(thm)],[115,2170,theory(equality)]) ).
cnf(2173,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference('REWRITE',[status(thm)],[29,2172]) ).
cnf(2174,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[2010,2172]) ).
cnf(2175,plain,
op1(e12,e13) != e12,
inference('REWRITE',[status(thm)],[116,2170,theory(equality)]) ).
cnf(2176,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[37,2175]) ).
cnf(2177,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[2013,2175]) ).
cnf(2178,plain,
op1(e10,e10) != e12,
inference('REWRITE',[status(thm)],[123,2170,theory(equality)]) ).
cnf(2179,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[1,2178]) ).
cnf(2180,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference('REWRITE',[status(thm)],[22,2178]) ).
cnf(2181,plain,
op1(e10,e11) != e12,
inference('REWRITE',[status(thm)],[125,2170,theory(equality)]) ).
cnf(2182,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[2089,2181]) ).
cnf(2183,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference('REWRITE',[status(thm)],[2092,2181]) ).
cnf(2184,plain,
op1(e10,e12) != e12,
inference('REWRITE',[status(thm)],[126,2170,theory(equality)]) ).
cnf(2185,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[3,2184]) ).
cnf(2207,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[453,2170,theory(equality)]) ).
cnf(2208,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e12 ),
inference('REWRITE',[status(thm)],[455,2170,theory(equality)]) ).
cnf(2219,plain,
( op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[2001,194,2170,theory(equality)]) ).
cnf(2220,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[2005,198,2170,theory(equality)]) ).
cnf(2226,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e11
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[2077,2170,theory(equality)]) ).
cnf(2231,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[2082,2170,theory(equality)]) ).
cnf(2233,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[2084,2170,theory(equality)]) ).
cnf(2236,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[2087,2170,theory(equality)]) ).
cnf(2237,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference('REWRITE',[status(thm)],[2093,194,2170,theory(equality)]) ).
cnf(2238,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[2154,2170,theory(equality)]) ).
cnf(2241,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[2157,2170,theory(equality)]) ).
cnf(2248,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[2164,2170,theory(equality)]) ).
cnf(2249,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[2165,2170,theory(equality)]) ).
cnf(2253,plain,
( op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e13),op1(e12,e13)) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[2169,2170,theory(equality)]) ).
cnf(2261,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),e22)
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(e10) != e20
| h3(e12) != e21
| h3(e11) != e23 ),
inference('REWRITE',[status(thm)],[1558,2170,2088,theory(equality)]) ).
cnf(2318,plain,
( op1(e13,e10) = e12
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[2002,194,2088,theory(equality)]) ).
cnf(2319,plain,
( op1(e13,e10) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[2004,195,2088,theory(equality)]) ).
cnf(2337,plain,
( op2(e22,e23) = e20
| op2(e22,e21) != e23 ),
inference('PARAMODULATE',[status(thm)],[185,1885,theory(equality)]) ).
cnf(2345,plain,
( op2(e21,e23) = e20
| op2(e22,e20) != e20 ),
inference('PARAMODULATE',[status(thm)],[183,1927,theory(equality)]) ).
cnf(2351,plain,
( op2(e23,e20) = e23
| h3(e11) != e23 ),
inference('PARAMODULATE',[status(thm)],[1518,1999,theory(equality)]) ).
cnf(2359,plain,
( op1(e13,e12) = e12
| op1(e12,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[114,2105,theory(equality)]) ).
cnf(2361,plain,
( op1(e13,e12) = e12
| op1(e10,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[111,2105,theory(equality)]) ).
cnf(2363,plain,
( op1(e11,e13) = e10
| op1(e11,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[131,2174,theory(equality)]) ).
cnf(2366,plain,
( op1(e12,e13) = e10
| op1(e12,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[138,2177,theory(equality)]) ).
cnf(2367,plain,
( op1(e12,e13) = e10
| op1(e12,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[137,2177,theory(equality)]) ).
cnf(2370,plain,
( op1(e11,e11) = e12
| op1(e12,e12) != e12 ),
inference('PARAMODULATE',[status(thm)],[136,2182,theory(equality)]) ).
cnf(2374,plain,
( op1(e10,e11) = e11
| op1(e12,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[104,2183,theory(equality)]) ).
cnf(2375,plain,
( op1(e10,e11) = e11
| op1(e11,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[103,2183,theory(equality)]) ).
cnf(2377,plain,
( op1(e11,e13) = e10
| op1(e12,e10) != e10 ),
inference('PARAMODULATE',[status(thm)],[135,2219,theory(equality)]) ).
cnf(2378,plain,
( op1(e11,e13) = e13
| op1(e12,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[138,2220,theory(equality)]) ).
cnf(2379,plain,
( op1(e11,e13) = e13
| op1(e12,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[137,2220,theory(equality)]) ).
cnf(2381,plain,
( op1(e10,e10) = e10
| op1(e12,e12) != e10 ),
inference('PARAMODULATE',[status(thm)],[110,2237,theory(equality)]) ).
cnf(2384,plain,
( op1(e13,e10) = e12
| op1(e11,e12) != e12 ),
inference('PARAMODULATE',[status(thm)],[113,2318,theory(equality)]) ).
cnf(2385,plain,
( op1(e13,e10) = e13
| op1(e12,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[114,2319,theory(equality)]) ).
cnf(2389,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e21) != e23 ),
inference('PARAMODULATE',[status(thm)],[1670,1925,theory(equality)]) ).
cnf(2390,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e23,e20) != e23 ),
inference('PARAMODULATE',[status(thm)],[1669,1925,theory(equality)]) ).
cnf(2402,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| h1(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1945,1758,theory(equality)]),199]) ).
cnf(2406,plain,
( op2(e22,e20) = e21
| h3(e11) = e21
| op2(e20,e21) != e21 ),
inference('PARAMODULATE',[status(thm)],[152,1764,theory(equality)]) ).
cnf(2407,plain,
( op2(e22,e20) = e21
| h3(e11) = e21
| h2(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1965,1764,theory(equality)]),202]) ).
cnf(2408,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| h3(e11) != e21 ),
inference('PARAMODULATE',[status(thm)],[1519,1767,theory(equality)]) ).
cnf(2417,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e23) != e20 ),
inference('PARAMODULATE',[status(thm)],[183,1847,theory(equality)]) ).
cnf(2425,plain,
( op2(e21,e20) = e22
| h2(e11) = e22
| op2(e20,e22) = e21
| h3(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1773,1881,theory(equality)]),202]) ).
cnf(2435,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| h1(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1945,1923,theory(equality)]),201]) ).
cnf(2457,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) != e11 ),
inference('PARAMODULATE',[status(thm)],[112,2011,theory(equality)]) ).
cnf(2458,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e10,e12) != e11 ),
inference('PARAMODULATE',[status(thm)],[109,2011,theory(equality)]) ).
cnf(2469,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e12) != e13 ),
inference('PARAMODULATE',[status(thm)],[136,2090,theory(equality)]) ).
cnf(2471,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e11) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2182,2090,theory(equality)]),198]) ).
cnf(2472,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e13) != e13 ),
inference('PARAMODULATE',[status(thm)],[131,2095,theory(equality)]) ).
cnf(2484,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2220,2099,theory(equality)]),195]) ).
cnf(2486,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2017,2101,theory(equality)]),193]) ).
cnf(2489,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2023,2104,theory(equality)]),193]) ).
cnf(2501,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2014,2176,theory(equality)]),196]) ).
cnf(2504,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e10) != e13 ),
inference('PARAMODULATE',[status(thm)],[99,2179,theory(equality)]) ).
cnf(2507,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e12) != e12 ),
inference('PARAMODULATE',[status(thm)],[140,2180,theory(equality)]) ).
cnf(2523,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| h3(e11) = e23
| op2(e21,e23) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1927,1514,theory(equality)]),201]) ).
cnf(2534,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[127,5,theory(equality)]) ).
cnf(2601,plain,
( op2(e21,e23) = e20
| h3(e11) = e23
| op2(h3(e11),h3(e11)) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1943,1882,theory(equality)]),203,738,theory(equality)]) ).
cnf(2650,plain,
( op2(e21,e23) = e20
| h3(e11) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1941,1882,theory(equality)]),203,738,theory(equality)]) ).
cnf(2656,plain,
( op2(e21,e23) = e23
| h3(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1944,1928,theory(equality)]),203,738,theory(equality)]) ).
cnf(2661,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| h3(e11) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1946,1767,theory(equality)]),1967,748,theory(equality)]) ).
cnf(2668,plain,
( op2(e21,e23) = e23
| h3(e11) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1948,1928,theory(equality)]),203,738,theory(equality)]) ).
cnf(2670,plain,
( op2(e22,e23) = e20
| h3(e11) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e20
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1948,1885,theory(equality)]),203,738,theory(equality)]) ).
cnf(2688,plain,
( op2(e21,e23) = e20
| h3(e11) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e20
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1952,1882,theory(equality)]),203,738,theory(equality)]) ).
cnf(2692,plain,
( op2(e21,e23) = e23
| h3(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23
| h1(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1954,1928,theory(equality)]),203,738,theory(equality)]) ).
cnf(2717,plain,
( h1(e11) = e20
| op2(h2(e11),h2(e11)) = e21
| op2(h3(e11),h3(e11)) = e22
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1812,1945,theory(equality)]),1924,743,theory(equality)]) ).
cnf(2767,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(e11,e11) = e13 ),
inference('PARAMODULATE',[status(thm)],[2226,2020,theory(equality)]) ).
cnf(2782,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2231,2023,theory(equality)]),197]) ).
cnf(2798,plain,
( op1(e11,e13) = e13
| op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2236,2220,theory(equality)]),197,734,theory(equality)]) ).
cnf(2799,plain,
( op1(e11,e13) = e10
| op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13 ),
inference('PARAMODULATE',[status(thm)],[2236,2219,theory(equality)]) ).
cnf(2804,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e12) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2238,2017,theory(equality)]),2094]) ).
cnf(2811,plain,
( op1(e11,e13) = e13
| op1(e12,e12) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2241,2220,theory(equality)]),197,734,theory(equality)]) ).
cnf(2835,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2248,2104,theory(equality)]),2178,195]) ).
cnf(2840,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2249,2177,theory(equality)]),197,734,theory(equality)]) ).
cnf(2849,plain,
( op1(e11,e13) = e13
| op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2253,2220,theory(equality)]),197,734,theory(equality)]) ).
cnf(3343,plain,
( op1(e10,e10) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e10
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2056,2237,theory(equality)]),2178]) ).
cnf(3380,plain,
( op1(e11,e13) = e10
| op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2070,2174,theory(equality)]),197,734,theory(equality)]) ).
cnf(3588,plain,
( op1(e13,e10) = e12
| op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2207,2102,theory(equality)]),193,734,theory(equality)]) ).
cnf(3592,plain,
( op1(e13,e10) = e13
| op1(e12,e12) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2208,2319,theory(equality)]),196,734,theory(equality)]) ).
cnf(6917,plain,
( op2(e20,e21) = e23
| h2(e11) = e23
| op2(e22,e23) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2337,1966]) ).
cnf(6923,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e23) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2345,1847]) ).
cnf(6935,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[2359,11]) ).
cnf(6937,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e12) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[2361,2185]) ).
cnf(6940,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e13) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2363,2095]) ).
cnf(6944,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e13) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2367,2090]) ).
cnf(6948,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e10,e11) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2374,2098]) ).
cnf(6950,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e11,e13) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2377,2101]) ).
cnf(6953,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2379,2090]) ).
cnf(6956,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e10) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[2384,2173]) ).
cnf(6978,plain,
( h3(e11) = e21
| h2(e11) = e22
| h1(e11) = e20
| op2(e21,e20) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1847,2407,theory(equality)]),199]) ).
cnf(6987,plain,
( h1(e11) = e23
| h1(e11) = e20
| h2(e11) != e23 ),
inference('PARAMODULATE',[status(thm)],[1587,2435,theory(equality)]) ).
cnf(6989,plain,
( h1(e11) = e23
| h1(e11) = e20
| op2(e22,e21) != e23 ),
inference('PARAMODULATE',[status(thm)],[152,2435,theory(equality)]) ).
cnf(7035,plain,
( h1(e11) = e21
| h1(e11) = e20
| op2(e22,e20) = e21
| h3(e11) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[2406,2402]) ).
cnf(7125,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| h1(e11) = e23
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[6989,1844]) ).
cnf(7206,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2457,2014]) ).
cnf(7278,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e13) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2363,2471]) ).
cnf(7354,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[2472,2484]) ).
cnf(7655,plain,
( op2(e20,e21) = e23
| h2(e11) = e23
| h1(e11) = e20
| op2(e21,e20) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[2417,6917]) ).
cnf(8105,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e10) != e12 ),
inference('PARAMODULATE',[status(thm)],[140,6937,theory(equality)]) ).
cnf(8341,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e12) != e10 ),
inference('PARAMODULATE',[status(thm)],[132,6940,theory(equality)]) ).
cnf(8566,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e12) != e10 ),
inference('PARAMODULATE',[status(thm)],[138,6944,theory(equality)]) ).
cnf(8725,plain,
( op1(e12,e11) = e11
| op1(e10,e11) = e11
| op1(e11,e11) != e12 ),
inference('PARAMODULATE',[status(thm)],[106,6948,theory(equality)]) ).
cnf(9103,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2233,6953,theory(equality)]),197,734,theory(equality)]) ).
cnf(9584,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e12) != e10 ),
inference('PARAMODULATE',[status(thm)],[132,7278,theory(equality)]) ).
cnf(9821,plain,
( op2(e21,e20) = e22
| h2(e11) = e22
| h3(e11) = e21
| h1(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1945,2425,theory(equality)]),199]) ).
cnf(10090,plain,
( h1(e11) = e21
| h1(e11) = e20
| h3(e11) = e21
| op2(e21,e20) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1847,7035,theory(equality)]),199]) ).
cnf(10175,plain,
( h2(e11) = e22
| h3(e11) = e21
| h1(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6978,9821,theory(equality)]),200]) ).
cnf(10816,plain,
( op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2090,2501,theory(equality)]),198]) ).
cnf(11105,plain,
( op2(e22,e21) = e21
| h1(e11) = e23
| h1(e11) = e20
| h2(e11) != e22 ),
inference('PARAMODULATE',[status(thm)],[1588,7125,theory(equality)]) ).
cnf(11149,plain,
( h2(e11) = e23
| h1(e11) = e20
| op2(e21,e20) = e20
| h1(e11) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[2389,7655]) ).
cnf(11363,plain,
( h2(e11) = e22
| h1(e11) = e20
| op2(e21,e23) = e20
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2601,10175,theory(equality)]),748,203,theory(equality)]) ).
cnf(12030,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[2507,6935]) ).
cnf(13189,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2182,7206,theory(equality)]),196]) ).
cnf(13477,plain,
( op1(e12,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e10,e12) != e10 ),
inference('PARAMODULATE',[status(thm)],[110,7354,theory(equality)]) ).
cnf(15780,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| h3(e11) = e23
| h1(e11) = e23
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2656,2523,theory(equality)]),743,201,theory(equality)]) ).
cnf(15781,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| h3(e11) = e23
| h1(e11) = e23
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2656,6923,theory(equality)]),743,201,theory(equality)]) ).
cnf(15783,plain,
( h2(e11) = e22
| h1(e11) = e20
| h2(e11) = e23
| h3(e11) = e23
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2656,11363,theory(equality)]),743,201,theory(equality)]) ).
cnf(15786,plain,
( h1(e11) = e21
| h1(e11) = e20
| h3(e11) = e21
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2661,10090,theory(equality)]),743,199,theory(equality)]) ).
cnf(15787,plain,
( h2(e11) = e23
| h1(e11) = e20
| h1(e11) = e21
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2661,11149,theory(equality)]),743,199,theory(equality)]) ).
cnf(15790,plain,
( h1(e11) = e21
| h1(e11) = e20
| h3(e11) = e21
| op2(e23,e20) = e23 ),
inference('HYPERRESOLVE',[status(thm)],[2351,15786]) ).
cnf(15837,plain,
( h1(e11) = e21
| h1(e11) = e20
| h3(e11) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[2390,15790]) ).
cnf(15838,plain,
( h1(e11) = e21
| h1(e11) = e20
| op2(e21,e20) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[2408,15837]) ).
cnf(15842,plain,
( h1(e11) = e21
| h1(e11) = e20
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15787,15837,theory(equality)]),203]) ).
cnf(15850,plain,
( h1(e11) = e21
| h1(e11) = e20
| op2(e21,e23) != e23 ),
inference('PARAMODULATE',[status(thm)],[1592,15842,theory(equality)]) ).
cnf(15922,plain,
( h1(e11) = e21
| h1(e11) = e20
| op2(e21,e23) = e23
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2668,15838,theory(equality)]),1967,748,theory(equality)]) ).
cnf(15944,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e23) = e20
| h3(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2688,1767,theory(equality)]),1967,748,theory(equality)]) ).
cnf(15968,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| h3(e11) = e23
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2692,15944,theory(equality)]),743,201,theory(equality)]) ).
cnf(15980,plain,
( h1(e11) = e21
| h3(e11) = e23
| h1(e11) = e23
| op2(e22,e23) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2670,15968,theory(equality)]),1967,748,theory(equality)]) ).
cnf(15981,plain,
( h1(e11) = e21
| h3(e11) = e23
| h1(e11) = e23
| op2(e21,e23) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2668,15968,theory(equality)]),1967,748,theory(equality)]) ).
cnf(15991,plain,
( h1(e11) = e21
| h3(e11) = e23
| h1(e11) = e23
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1954,15980,theory(equality)]),743,theory(equality)]) ).
cnf(16728,plain,
( h1(e11) = e21
| h1(e11) = e20
| h3(e11) = e23 ),
inference('HYPERRESOLVE',[status(thm)],[15850,15922]) ).
cnf(16729,plain,
( h1(e11) = e21
| h1(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15837,16728,theory(equality)]),203]) ).
cnf(17348,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2798,2096,theory(equality)]),195]) ).
cnf(17355,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e11
| op1(e11,e13) = e13
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2811,2486,theory(equality)]),2094]) ).
cnf(17363,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e10,e12) = e10
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2835,7,theory(equality)]),196,734,195,theory(equality)]) ).
cnf(17468,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e13
| op1(e10,e10) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2849,2096,theory(equality)]),195]) ).
cnf(17997,plain,
( op2(e22,e20) = e23
| h3(e11) = e23
| h1(e11) = e23
| h2(e11) = e23
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[6989,15780]) ).
cnf(18006,plain,
( h1(e11) = e20
| h3(e11) = e23
| h1(e11) = e23
| h2(e11) = e23
| op2(e21,e23) != e20 ),
inference('PARAMODULATE',[status(thm)],[177,15781,theory(equality)]) ).
cnf(18208,plain,
( h3(e11) = e23
| h1(e11) = e23
| h2(e11) = e23
| h1(e11) = e20
| op2(e21,e23) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2650,17997,theory(equality)]),199,738,theory(equality)]) ).
cnf(18646,plain,
( h2(e11) = e22
| h1(e11) = e20
| h2(e11) = e23
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10175,15783,theory(equality)]),203]) ).
cnf(18647,plain,
( h2(e11) = e22
| h1(e11) = e20
| h1(e11) = e23 ),
inference('HYPERRESOLVE',[status(thm)],[6987,18646]) ).
cnf(18648,plain,
( h1(e11) = e20
| h1(e11) = e23
| op2(e22,e21) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[11105,18647]) ).
cnf(18667,plain,
( h1(e11) = e20
| h1(e11) = e23
| h3(e11) != e21 ),
inference('PARAMODULATE',[status(thm)],[1520,18648,theory(equality)]) ).
cnf(18910,plain,
( h1(e11) = e21
| h3(e11) = e23
| h1(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15991,15981,theory(equality)]),203,738,theory(equality)]) ).
cnf(19389,plain,
( h3(e11) = e23
| h1(e11) = e23
| h2(e11) = e23
| h1(e11) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[18006,18208]) ).
cnf(19400,plain,
( h1(e11) = e23
| h2(e11) = e23
| h1(e11) = e20
| op2(h2(e11),h2(e11)) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2717,19389,theory(equality)]),202,738,theory(equality)]) ).
cnf(19469,plain,
( h1(e11) = e20
| h1(e11) = e23
| h3(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19400,18647,theory(equality)]),753,204,theory(equality)]) ).
cnf(19472,plain,
( h1(e11) = e20
| h1(e11) = e23 ),
inference('HYPERRESOLVE',[status(thm)],[18667,19469]) ).
cnf(19480,plain,
h1(e11) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16729,19472,theory(equality)]),201,203]) ).
cnf(19481,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[743,19480,theory(equality)]) ).
cnf(19603,plain,
op2(e22,e20) != e20,
inference('REWRITE',[status(thm)],[1668,19480,theory(equality)]) ).
cnf(19604,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference('REWRITE',[status(thm)],[57,19603]) ).
cnf(19759,plain,
op2(e20,e22) != e20,
inference('REWRITE',[status(thm)],[1671,19480,theory(equality)]) ).
cnf(19760,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference('REWRITE',[status(thm)],[1889,19759]) ).
cnf(19873,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference('REWRITE',[status(thm)],[1767,199,19480,theory(equality)]) ).
cnf(19891,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference('REWRITE',[status(thm)],[1869,199,19480,theory(equality)]) ).
cnf(20936,plain,
h3(e11) = e23,
inference('REWRITE',[status(thm)],[18910,201,199,19480,theory(equality)]) ).
cnf(20938,plain,
op2(e20,e22) != e23,
inference('REWRITE',[status(thm)],[1516,20936,theory(equality)]) ).
cnf(20939,plain,
op2(e20,e22) = e21,
inference('REWRITE',[status(thm)],[19760,20938]) ).
cnf(20940,plain,
op2(e21,e22) != e21,
inference('REWRITE',[status(thm)],[157,20939,theory(equality)]) ).
cnf(20941,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference('REWRITE',[status(thm)],[55,20940]) ).
cnf(20957,plain,
op2(e20,e21) != e21,
inference('REWRITE',[status(thm)],[172,20939,theory(equality)]) ).
cnf(20959,plain,
op2(e20,e21) = e23,
inference('REWRITE',[status(thm)],[1887,20957]) ).
cnf(20960,plain,
op2(e22,e21) != e23,
inference('REWRITE',[status(thm)],[152,20959,theory(equality)]) ).
cnf(20961,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[1844,20960]) ).
cnf(20991,plain,
( h2(e11) = e22
| op2(op2(e21,e23),op2(e21,e23)) = e23
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference('REWRITE',[status(thm)],[19891,748,20939,theory(equality)]) ).
cnf(21030,plain,
op2(e21,e22) != e23,
inference('REWRITE',[status(thm)],[1517,20936,theory(equality)]) ).
cnf(21031,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e22 ),
inference('REWRITE',[status(thm)],[20941,21030]) ).
cnf(21045,plain,
op2(e23,e22) != e23,
inference('REWRITE',[status(thm)],[1518,20936,theory(equality)]) ).
cnf(21046,plain,
op2(e23,e22) = e22,
inference('REWRITE',[status(thm)],[1851,21045]) ).
cnf(21047,plain,
op2(e21,e22) != e22,
inference('REWRITE',[status(thm)],[161,21046,theory(equality)]) ).
cnf(21049,plain,
op2(e21,e22) = e20,
inference('REWRITE',[status(thm)],[21031,21047]) ).
cnf(21050,plain,
op2(e21,e23) != e20,
inference('REWRITE',[status(thm)],[180,21049,theory(equality)]) ).
cnf(21051,plain,
op2(e21,e23) = e23,
inference('REWRITE',[status(thm)],[1882,21050]) ).
cnf(21052,plain,
op2(e22,e23) != e23,
inference('REWRITE',[status(thm)],[166,21051,theory(equality)]) ).
cnf(21053,plain,
op2(e22,e23) = e20,
inference('REWRITE',[status(thm)],[1885,21052]) ).
cnf(21067,plain,
h2(e11) = e22,
inference('REWRITE',[status(thm)],[20991,201,19481,21053,203,738,21051,theory(equality)]) ).
cnf(21068,plain,
op2(e21,e21) = e22,
inference('REWRITE',[status(thm)],[748,21067,theory(equality)]) ).
cnf(21069,plain,
op2(e22,e21) != e22,
inference('REWRITE',[status(thm)],[1588,21067,theory(equality)]) ).
cnf(21070,plain,
op2(e22,e21) = e21,
inference('REWRITE',[status(thm)],[20961,21069]) ).
cnf(21071,plain,
op2(e22,e20) != e21,
inference('REWRITE',[status(thm)],[181,21070,theory(equality)]) ).
cnf(21072,plain,
( op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference('REWRITE',[status(thm)],[19604,21071]) ).
cnf(21076,plain,
op2(e21,e20) = e21,
inference('REWRITE',[status(thm)],[19873,21071]) ).
cnf(21147,plain,
op2(e23,e20) != e22,
inference('REWRITE',[status(thm)],[188,21046,theory(equality)]) ).
cnf(21148,plain,
op2(e23,e20) = e23,
inference('REWRITE',[status(thm)],[1848,21147]) ).
cnf(21149,plain,
op2(e22,e20) != e23,
inference('REWRITE',[status(thm)],[150,21148,theory(equality)]) ).
cnf(21150,plain,
op2(e22,e20) = e22,
inference('REWRITE',[status(thm)],[21072,21149]) ).
cnf(21211,plain,
h3(e10) = e20,
inference('REWRITE',[status(thm)],[1549,21053,20936,theory(equality)]) ).
cnf(21212,plain,
h3(e12) = e21,
inference('REWRITE',[status(thm)],[1550,20939,21211,theory(equality)]) ).
cnf(21213,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e11)) != e22
| h3(op1(e10,e12)) != e23
| h3(op1(e11,e10)) != e23
| h3(op1(e11,e11)) != e21
| h3(op1(e11,e12)) != e20
| h3(op1(e11,e13)) != e22
| h3(op1(e12,e10)) != e21
| h3(op1(e12,e11)) != e23
| h3(op1(e12,e12)) != e22
| h3(op1(e12,e13)) != e20
| h3(op1(e13,e10)) != e22
| h3(op1(e13,e12)) != e21 ),
inference('REWRITE',[status(thm)],[2261,21070,21150,21049,21068,21051,21076,21046,1839,738,21148,20959,21212,1879,19481,21211,20936,theory(equality)]) ).
cnf(21575,plain,
( op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2090,10816,theory(equality)]),197]) ).
cnf(21581,plain,
( op1(e12,e10) = e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e12) = e10 ),
inference('PARAMODULATE',[status(thm)],[9103,21575,theory(equality)]) ).
cnf(21763,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2378,17348]) ).
cnf(21808,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e11
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6950,17355,theory(equality)]),195]) ).
cnf(21809,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e10) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2385,21808]) ).
cnf(21828,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2504,21809]) ).
cnf(21831,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2804,21828,theory(equality)]),193]) ).
cnf(21836,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e10) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2385,21831]) ).
cnf(21861,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2504,21836]) ).
cnf(21865,plain,
( op1(e10,e10) = e10
| op1(e11,e10) != e11 ),
inference('PARAMODULATE',[status(thm)],[97,21861,theory(equality)]) ).
cnf(21926,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e10,e12) = e10
| op1(e10,e10) = e11
| op1(e12,e12) != e12 ),
inference('PARAMODULATE',[status(thm)],[112,17363,theory(equality)]) ).
cnf(21927,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e10,e12) = e10
| op1(e10,e10) = e11
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2835,17363,theory(equality)]),194]) ).
cnf(22009,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e10,e10) = e13
| op1(e10,e10) = e11
| op1(e11,e13) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2378,17468]) ).
cnf(23083,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2096,21763,theory(equality)]),195]) ).
cnf(23107,plain,
( op1(e11,e10) = e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| h3(op1(e10,e10)) != e20
| h3(op1(e10,e11)) != e22
| h3(op1(e10,e12)) != e23
| h3(op1(e11,e10)) != e23
| h3(op1(e11,e11)) != e21
| h3(op1(e11,e13)) != e22
| h3(op1(e12,e10)) != e21
| h3(op1(e12,e11)) != e23
| h3(op1(e12,e12)) != e22
| h3(op1(e12,e13)) != e20
| h3(op1(e13,e10)) != e22
| h3(op1(e13,e12)) != e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21213,23083,theory(equality)]),21211,theory(equality)]) ).
cnf(23124,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e10,e12) = e10
| op1(e10,e10) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[21926,21927]) ).
cnf(23129,plain,
( op1(e11,e12) = e10
| op1(e10,e12) = e10
| op1(e10,e10) = e11
| op1(e10,e12) != e11 ),
inference('PARAMODULATE',[status(thm)],[109,23124,theory(equality)]) ).
cnf(23149,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e11,e12) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23129,2008,theory(equality)]),193,theory(equality)]) ).
cnf(23156,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e12,e13) = e10
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2840,23149,theory(equality)]),2178]) ).
cnf(23216,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(e10,e10) = e13 ),
inference('PARAMODULATE',[status(thm)],[2253,23156,theory(equality)]) ).
cnf(23401,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e10,e10) = e13
| op1(e10,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2096,22009,theory(equality)]),195]) ).
cnf(23605,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e10
| op1(e11,e11) = e13 ),
inference('PARAMODULATE',[status(thm)],[3343,2101,theory(equality)]) ).
cnf(23610,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e10,e10) = e10
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23605,5,theory(equality)]),193,734,195,theory(equality)]) ).
cnf(23611,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e10,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2534,23610]) ).
cnf(23618,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23605,23611,theory(equality)]),194]) ).
cnf(24372,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e10) = e12
| op1(op1(e11,e12),op1(e11,e12)) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3588,2104,theory(equality)]),2178,195]) ).
cnf(24382,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e10) = e12
| op1(e11,e11) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24372,2489,theory(equality)]),193]) ).
cnf(24387,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[8105,24382]) ).
cnf(24388,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e11,e11) = e12
| op1(e10,e11) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[9584,24387]) ).
cnf(24389,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[8341,24387]) ).
cnf(24400,plain,
( op1(e10,e12) = e10
| op1(e11,e11) = e12
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2171,24388,theory(equality)]),197]) ).
cnf(24404,plain,
( op1(e10,e12) = e10
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2458,24389]) ).
cnf(24409,plain,
( op1(e11,e11) = e12
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2171,24400,theory(equality)]),195]) ).
cnf(24428,plain,
( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[13477,24404]) ).
cnf(24431,plain,
( op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13189,24428,theory(equality)]),193]) ).
cnf(24462,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e10) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3592,2104,theory(equality)]),2178,195]) ).
cnf(24471,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e10,e12) = e10
| op1(e13,e10) = e13
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24462,2173,theory(equality)]),194]) ).
cnf(24474,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e10,e12) = e10
| op1(e12,e12) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6956,24471,theory(equality)]),198]) ).
cnf(24475,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e10,e12) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2370,24474]) ).
cnf(25501,plain,
( op1(e12,e10) = e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2469,21581]) ).
cnf(25502,plain,
( op1(e12,e10) = e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[8566,25501]) ).
cnf(25510,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9103,25502,theory(equality)]),2094]) ).
cnf(25519,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2469,25510]) ).
cnf(25520,plain,
( op1(e10,e11) = e13
| op1(e11,e13) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2363,25519]) ).
cnf(25525,plain,
( op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24409,25519,theory(equality)]),198]) ).
cnf(25528,plain,
( op1(e10,e11) = e13
| op1(e11,e10) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24431,25519,theory(equality)]),197,198]) ).
cnf(25534,plain,
( op1(e10,e11) = e13
| op1(e11,e10) != e10 ),
inference('PARAMODULATE',[status(thm)],[129,25520,theory(equality)]) ).
cnf(25539,plain,
( op1(e10,e10) = e13
| op1(e11,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[103,25525,theory(equality)]) ).
cnf(25548,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[103,25528,theory(equality)]) ).
cnf(27431,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e10,e10) = e10
| op1(e11,e11) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2381,23618]) ).
cnf(27432,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e10,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[25548,27431]) ).
cnf(27433,plain,
( op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[21865,27432]) ).
cnf(27434,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[25534,27433]) ).
cnf(27460,plain,
( op1(e10,e10) = e10
| op1(e10,e10) != e13 ),
inference('PARAMODULATE',[status(thm)],[121,27434,theory(equality)]) ).
cnf(28410,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e10,e12) = e11
| op1(e12,e12) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2782,2173,theory(equality)]),196]) ).
cnf(28415,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[2370,28410]) ).
cnf(28416,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24475,28415,theory(equality)]),193]) ).
cnf(28417,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[2375,28416]) ).
cnf(28425,plain,
( op1(e11,e10) = e12
| op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference('HYPERRESOLVE',[status(thm)],[8725,28417]) ).
cnf(28432,plain,
( op1(e11,e10) = e12
| op1(e10,e11) = e11
| op1(e12,e12) = e13
| op1(e12,e12) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2767,28417,theory(equality)]),198,196]) ).
cnf(28442,plain,
( op1(e11,e10) = e12
| op1(e10,e11) = e11
| op1(e12,e12) != e11 ),
inference('PARAMODULATE',[status(thm)],[136,28425,theory(equality)]) ).
cnf(28511,plain,
( op1(e11,e10) = e12
| op1(e10,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e10) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12030,28432,theory(equality)]),198,197,195]) ).
cnf(28634,plain,
( op1(e11,e10) = e12
| op1(e10,e11) = e11
| op1(e12,e10) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[28442,28511]) ).
cnf(28775,plain,
( op1(e11,e13) = e10
| op1(e12,e12) = e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2799,2174,theory(equality)]),197,734,195,theory(equality)]) ).
cnf(28776,plain,
( op1(e12,e12) = e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2798,28775,theory(equality)]),195]) ).
cnf(28779,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e13) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[2366,28776]) ).
cnf(28793,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e10
| op1(op1(e10,e12),op1(e10,e12)) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3380,28776,theory(equality)]),196,734,theory(equality)]) ).
cnf(28823,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e13) != e10 ),
inference('PARAMODULATE',[status(thm)],[118,28779,theory(equality)]) ).
cnf(28927,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28793,2237,theory(equality)]),2178]) ).
cnf(28933,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[28823,28927]) ).
cnf(28934,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[25539,28933]) ).
cnf(28935,plain,
op1(e10,e10) = e10,
inference('HYPERRESOLVE',[status(thm)],[27460,28934]) ).
cnf(28937,plain,
op1(e11,e10) != e10,
inference('REWRITE',[status(thm)],[97,28935,theory(equality)]) ).
cnf(29253,plain,
op1(e12,e10) != e10,
inference('REWRITE',[status(thm)],[98,28935,theory(equality)]) ).
cnf(29255,plain,
( op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference('REWRITE',[status(thm)],[2099,29253]) ).
cnf(29637,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[122,28935,theory(equality)]) ).
cnf(29638,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[2185,29637]) ).
cnf(30037,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference('REWRITE',[status(thm)],[2017,193,28935,theory(equality)]) ).
cnf(30068,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| op1(op1(e11,e13),op1(e11,e13)) = e13
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference('REWRITE',[status(thm)],[2152,193,28935,theory(equality)]) ).
cnf(30396,plain,
( op1(e11,e11) = e13
| h3(op1(e10,e11)) != e22
| h3(op1(e10,e12)) != e23
| h3(op1(e11,e10)) != e23
| h3(op1(e11,e11)) != e21
| h3(op1(e11,e13)) != e22
| h3(op1(e12,e10)) != e21
| h3(op1(e12,e11)) != e23
| h3(op1(e12,e12)) != e22
| h3(op1(e12,e13)) != e20
| h3(op1(e13,e10)) != e22
| h3(op1(e13,e12)) != e21 ),
inference('REWRITE',[status(thm)],[23107,21211,195,28937,28935,theory(equality)]) ).
cnf(30400,plain,
( op1(e10,e11) = e11
| op1(e12,e12) = e13
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference('REWRITE',[status(thm)],[23216,195,193,28935,theory(equality)]) ).
cnf(30460,plain,
op1(e11,e12) = e10,
inference('REWRITE',[status(thm)],[23401,193,195,28937,28935,theory(equality)]) ).
cnf(30463,plain,
op1(e12,e12) != e10,
inference('REWRITE',[status(thm)],[112,30460,theory(equality)]) ).
cnf(30486,plain,
op1(e12,e13) = e10,
inference('REWRITE',[status(thm)],[29255,30463]) ).
cnf(30487,plain,
op1(e11,e13) != e10,
inference('REWRITE',[status(thm)],[118,30486,theory(equality)]) ).
cnf(30488,plain,
op1(e11,e13) = e13,
inference('REWRITE',[status(thm)],[2174,30487]) ).
cnf(30496,plain,
op1(e11,e11) != e13,
inference('REWRITE',[status(thm)],[131,30488,theory(equality)]) ).
cnf(30497,plain,
op1(e10,e11) = e13,
inference('REWRITE',[status(thm)],[25519,30496]) ).
cnf(30498,plain,
op1(e12,e11) != e13,
inference('REWRITE',[status(thm)],[104,30497,theory(equality)]) ).
cnf(30499,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[2098,30498]) ).
cnf(30506,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[124,30497,theory(equality)]) ).
cnf(30507,plain,
op1(e10,e12) = e11,
inference('REWRITE',[status(thm)],[29638,30506]) ).
cnf(30556,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference('REWRITE',[status(thm)],[28634,197,30497,theory(equality)]) ).
cnf(30573,plain,
( op1(e11,e11) = e12
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference('REWRITE',[status(thm)],[30068,197,734,30507,30488,theory(equality)]) ).
cnf(30576,plain,
op1(e12,e12) = e13,
inference('REWRITE',[status(thm)],[30400,734,197,30497,30488,theory(equality)]) ).
cnf(30577,plain,
op1(e13,e12) != e13,
inference('REWRITE',[status(thm)],[114,30576,theory(equality)]) ).
cnf(30578,plain,
op1(e13,e12) = e12,
inference('REWRITE',[status(thm)],[2105,30577]) ).
cnf(30579,plain,
op1(e13,e10) != e12,
inference('REWRITE',[status(thm)],[140,30578,theory(equality)]) ).
cnf(30580,plain,
op1(e13,e10) = e13,
inference('REWRITE',[status(thm)],[2102,30579]) ).
cnf(30585,plain,
op1(e11,e11) = e12,
inference('REWRITE',[status(thm)],[30573,196,734,30576,theory(equality)]) ).
cnf(30586,plain,
op1(e12,e11) != e12,
inference('REWRITE',[status(thm)],[106,30585,theory(equality)]) ).
cnf(30587,plain,
op1(e12,e11) = e11,
inference('REWRITE',[status(thm)],[30499,30586]) ).
cnf(30588,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[133,30587,theory(equality)]) ).
cnf(30589,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[30037,30588]) ).
cnf(30590,plain,
op1(e12,e10) = e12,
inference('REWRITE',[status(thm)],[30556,196,30589,theory(equality)]) ).
cnf(30591,plain,
$false,
inference('REWRITE',[status(thm)],[30396,30578,30580,21211,30576,30587,30590,30488,21212,30589,20936,30507,751,30497,198,30585,30486,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 8 07:22:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T07:22:01
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-08T07:22:01
% 173.13/173.33
% 173.13/173.33
% 173.13/173.33 #||
% 173.13/173.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 173.13/173.33 % SZS output start Refutation
% See solution above
% 173.33/173.48 ||#
% 173.33/173.48
% 173.33/173.48 ; Summary of computation:
% 173.33/173.48 ; 182536 formulas have been input or derived (from 3900 formulas).
% 173.33/173.48 ; 30591 (17%) were retained. Of these,
% 173.33/173.48 ; 30514 (100%) were simplified or subsumed later,
% 173.33/173.48 ; 77 ( 0%) are still being kept.
% 173.33/173.48 ;
% 173.33/173.48 ; Run time in seconds excluding printing time:
% 173.33/173.48 ; 0.047 0% Read assertion file (1 call)
% 173.33/173.48 ; 0.482 0% Assert (18 calls)
% 173.33/173.48 ; 6.615 4% Process new row (180,042 calls)
% 173.33/173.48 ; 1.677 1% Resolution (7,798 calls)
% 173.33/173.48 ; 5.395 3% Paramodulation (3,899 calls)
% 173.33/173.48 ; 0.008 0% Factoring (1,794 calls)
% 173.33/173.48 ; 0.242 0% Condensing (91,922 calls)
% 173.33/173.48 ; 102.397 59% Forward subsumption (91,922 calls)
% 173.33/173.48 ; 11.711 7% Backward subsumption (29,940 calls)
% 173.33/173.48 ; 23.190 13% Clause clause subsumption (4,095,397 calls)
% 173.33/173.48 ; 12.678 7% Forward simplification (168,375 calls)
% 173.33/173.48 ; 4.124 2% Backward simplification (30,223 calls)
% 173.33/173.48 ; 3.560 2% Ordering (2,472,611 calls)
% 173.33/173.48 ; 0.001 0% Sortal reasoning (32 calls)
% 173.33/173.48 ; 0.004 0% Purity testing (1 call)
% 173.33/173.48 ; 0.724 0% Other
% 173.33/173.48 ; 172.855 Total
% 173.33/173.48 ; 173.011 Real time
% 173.33/173.48 ;
% 173.33/173.48 ; Term-hash-array has 1,063 terms in all.
% 173.33/173.48 ; Feature-vector-row-index has 0 entries (15,989 at peak, 29,940 added, 29,940 deleted).
% 173.33/173.48 ; Feature-vector-row-index has 1 node (163,682 at peak, 289,734 added, 289,733 deleted).
% 173.33/173.48 ; Retrieved 6,233,279 possibly forward subsuming rows in 91,922 calls.
% 173.33/173.48 ; Retrieved 1,187,829 possibly backward subsumed rows in 29,940 calls.
% 173.33/173.48 ; Path-index has 132 entries (828 at peak, 1,968 added, 1,836 deleted).
% 173.33/173.48 ; Path-index has 172 nodes (350 at peak, 787 added, 615 deleted).
% 173.33/173.48 ; Trie-index has 132 entries (828 at peak, 1,968 added, 1,836 deleted).
% 173.33/173.48 ; Trie-index has 217 nodes (1,709 at peak, 4,298 added, 4,081 deleted).
% 173.33/173.48 ; Retrieved 314,383 generalization terms in 2,947,822 calls.
% 173.33/173.48 ; Retrieved 282 instance terms in 282 calls.
% 173.33/173.48 ; Retrieved 14,688 unifiable terms in 28,231 calls.
% 173.33/173.48 ;
% 173.33/173.48 ; The agenda of backward simplifiable rows to process has 1872 entries:
% 173.33/173.48 ; 1872 with value 0
% 173.33/173.48 ; The agenda of rows to process has 47 entries:
% 173.33/173.48 ; 1 with value 23 2 with value 34 7 with value 44
% 173.33/173.48 ; 8 with value 26 7 with value 37 2 with value 47
% 173.33/173.48 ; 2 with value 27 3 with value 38 2 with value 51
% 173.33/173.48 ; 4 with value 30 3 with value 40 2 with value 133
% 173.33/173.48 ; 2 with value 33 2 with value 41
% 173.33/173.48 ; The agenda of input rows to give has 8 entries:
% 173.33/173.48 ; 8 with value 7
% 173.33/173.48 ; The agenda of rows to give has 5 entries:
% 173.33/173.48 ; 1 with value (4 11) 1 with value (4 17) 1 with value (4 22)
% 173.33/173.48 ; 2 with value (4 15)
% 173.33/173.48 Evaluation took:
% 173.33/173.48 173.011 seconds of real time
% 173.33/173.48 162.17062 seconds of user run time
% 173.33/173.48 10.842413 seconds of system run time
% 173.33/173.48 [Run times include 23.047 seconds GC run time.]
% 173.33/173.48 0 calls to %EVAL
% 173.33/173.48 0 page faults and
% 173.33/173.48 18,975,296,128 bytes consed.
% 173.33/173.48 :PROOF-FOUND
% 173.33/173.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T07:24:54
% 173.33/173.48 :PROOF-FOUND
% 173.33/173.48 *
%------------------------------------------------------------------------------