TSTP Solution File: SWV527-1.030 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV527-1.030 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 : Wed Jul 20 21:43:54 EDT 2022

% Result   : Unsatisfiable 26.56s 26.79s
% Output   : Refutation 26.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   90
%            Number of leaves      :  307
% Syntax   : Number of clauses     : 1247 ( 832 unt; 415 nHn;1247 RR)
%            Number of literals    : 1662 (   0 equ; 303 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  130 ( 130 usr; 128 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(select(store(u,v,w),v),w),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(2,axiom,
    ( equal(u,v)
    | equal(select(store(w,u,x),v),select(w,v)) ),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(4,axiom,
    equal(store(a1,i1,e1),a_1069),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(5,axiom,
    equal(store(a_1069,i2,e2),a_1070),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(6,axiom,
    equal(store(a_1070,i3,e3),a_1071),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(7,axiom,
    equal(store(a_1071,i4,e4),a_1072),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(8,axiom,
    equal(store(a_1072,i5,e5),a_1073),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(9,axiom,
    equal(store(a_1073,i6,e6),a_1074),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(10,axiom,
    equal(store(a_1074,i7,e7),a_1075),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(11,axiom,
    equal(store(a_1075,i8,e8),a_1076),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(12,axiom,
    equal(store(a_1076,i9,e9),a_1077),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(13,axiom,
    equal(store(a_1077,i10,e10),a_1078),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(14,axiom,
    equal(store(a_1078,i11,e11),a_1079),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(15,axiom,
    equal(store(a_1079,i12,e12),a_1080),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(16,axiom,
    equal(store(a_1080,i13,e13),a_1081),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(17,axiom,
    equal(store(a_1081,i14,e14),a_1082),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(18,axiom,
    equal(store(a_1082,i15,e15),a_1083),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(19,axiom,
    equal(store(a_1083,i16,e16),a_1084),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(20,axiom,
    equal(store(a_1084,i17,e17),a_1085),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(21,axiom,
    equal(store(a_1085,i18,e18),a_1086),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(22,axiom,
    equal(store(a_1086,i19,e19),a_1087),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(23,axiom,
    equal(store(a_1087,i20,e20),a_1088),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(24,axiom,
    equal(store(a_1088,i21,e21),a_1089),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(25,axiom,
    equal(store(a_1089,i22,e22),a_1090),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(26,axiom,
    equal(store(a_1090,i23,e23),a_1091),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(27,axiom,
    equal(store(a_1091,i24,e24),a_1092),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(28,axiom,
    equal(store(a_1092,i25,e25),a_1093),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(29,axiom,
    equal(store(a_1093,i26,e26),a_1094),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(30,axiom,
    equal(store(a_1094,i27,e27),a_1095),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(31,axiom,
    equal(store(a_1095,i28,e28),a_1096),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(32,axiom,
    equal(store(a_1096,i29,e29),a_1097),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(33,axiom,
    equal(store(a_1097,i30,e30),a_1098),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(34,axiom,
    equal(store(a1,i13,e13),a_1099),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(35,axiom,
    equal(store(a_1099,i1,e1),a_1100),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(36,axiom,
    equal(store(a_1100,i19,e19),a_1101),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(37,axiom,
    equal(store(a_1101,i4,e4),a_1102),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(38,axiom,
    equal(store(a_1102,i9,e9),a_1103),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(39,axiom,
    equal(store(a_1103,i30,e30),a_1104),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(40,axiom,
    equal(store(a_1104,i2,e2),a_1105),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(41,axiom,
    equal(store(a_1105,i15,e15),a_1106),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(42,axiom,
    equal(store(a_1106,i25,e25),a_1107),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(43,axiom,
    equal(store(a_1107,i18,e18),a_1108),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(44,axiom,
    equal(store(a_1108,i20,e20),a_1109),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(45,axiom,
    equal(store(a_1109,i8,e8),a_1110),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(46,axiom,
    equal(store(a_1110,i21,e21),a_1111),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(47,axiom,
    equal(store(a_1111,i6,e6),a_1112),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(48,axiom,
    equal(store(a_1112,i11,e11),a_1113),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(49,axiom,
    equal(store(a_1113,i14,e14),a_1114),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(50,axiom,
    equal(store(a_1114,i29,e29),a_1115),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(51,axiom,
    equal(store(a_1115,i5,e5),a_1116),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(52,axiom,
    equal(store(a_1116,i26,e26),a_1117),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(53,axiom,
    equal(store(a_1117,i22,e22),a_1118),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(54,axiom,
    equal(store(a_1118,i27,e27),a_1119),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(55,axiom,
    equal(store(a_1119,i3,e3),a_1120),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(56,axiom,
    equal(store(a_1120,i12,e12),a_1121),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(57,axiom,
    equal(store(a_1121,i16,e16),a_1122),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(58,axiom,
    equal(store(a_1122,i28,e28),a_1123),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(59,axiom,
    equal(store(a_1123,i17,e17),a_1124),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(60,axiom,
    equal(store(a_1124,i23,e23),a_1125),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(61,axiom,
    equal(store(a_1125,i24,e24),a_1126),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(62,axiom,
    equal(store(a_1126,i7,e7),a_1127),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(63,axiom,
    equal(store(a_1127,i10,e10),a_1128),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(64,axiom,
    equal(select(a_1098,i_1129),e_1130),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(65,axiom,
    equal(select(a_1128,i_1129),e_1131),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(67,axiom,
    ~ equal(i30,i29),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(68,axiom,
    ~ equal(i30,i28),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(69,axiom,
    ~ equal(i29,i28),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(70,axiom,
    ~ equal(i30,i27),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(71,axiom,
    ~ equal(i29,i27),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(73,axiom,
    ~ equal(i30,i26),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(74,axiom,
    ~ equal(i29,i26),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(76,axiom,
    ~ equal(i27,i26),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(77,axiom,
    ~ equal(i30,i25),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(78,axiom,
    ~ equal(i29,i25),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(80,axiom,
    ~ equal(i27,i25),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(81,axiom,
    ~ equal(i26,i25),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(82,axiom,
    ~ equal(i30,i24),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(83,axiom,
    ~ equal(i29,i24),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(84,axiom,
    ~ equal(i28,i24),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(85,axiom,
    ~ equal(i27,i24),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(86,axiom,
    ~ equal(i26,i24),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(87,axiom,
    ~ equal(i25,i24),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(88,axiom,
    ~ equal(i30,i23),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(89,axiom,
    ~ equal(i29,i23),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(90,axiom,
    ~ equal(i28,i23),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(91,axiom,
    ~ equal(i27,i23),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(92,axiom,
    ~ equal(i26,i23),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(93,axiom,
    ~ equal(i25,i23),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(94,axiom,
    ~ equal(i24,i23),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(95,axiom,
    ~ equal(i30,i22),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(96,axiom,
    ~ equal(i29,i22),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(99,axiom,
    ~ equal(i26,i22),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(100,axiom,
    ~ equal(i25,i22),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(103,axiom,
    ~ equal(i30,i21),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(104,axiom,
    ~ equal(i29,i21),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(108,axiom,
    ~ equal(i25,i21),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(112,axiom,
    ~ equal(i30,i20),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(117,axiom,
    ~ equal(i25,i20),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(121,axiom,
    ~ equal(i21,i20),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(122,axiom,
    ~ equal(i30,i19),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(127,axiom,
    ~ equal(i25,i19),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(131,axiom,
    ~ equal(i21,i19),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(132,axiom,
    ~ equal(i20,i19),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(133,axiom,
    ~ equal(i30,i18),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(138,axiom,
    ~ equal(i25,i18),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(142,axiom,
    ~ equal(i21,i18),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(143,axiom,
    ~ equal(i20,i18),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(144,axiom,
    ~ equal(i19,i18),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(145,axiom,
    ~ equal(i30,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(146,axiom,
    ~ equal(i29,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(147,axiom,
    ~ equal(i28,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(148,axiom,
    ~ equal(i27,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(149,axiom,
    ~ equal(i26,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(150,axiom,
    ~ equal(i25,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(151,axiom,
    ~ equal(i24,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(152,axiom,
    ~ equal(i23,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(153,axiom,
    ~ equal(i22,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(154,axiom,
    ~ equal(i21,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(155,axiom,
    ~ equal(i20,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(156,axiom,
    ~ equal(i19,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(157,axiom,
    ~ equal(i18,i17),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(158,axiom,
    ~ equal(i30,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(159,axiom,
    ~ equal(i29,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(161,axiom,
    ~ equal(i27,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(162,axiom,
    ~ equal(i26,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(163,axiom,
    ~ equal(i25,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(164,axiom,
    ~ equal(i24,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(165,axiom,
    ~ equal(i23,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(166,axiom,
    ~ equal(i22,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(167,axiom,
    ~ equal(i21,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(168,axiom,
    ~ equal(i20,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(169,axiom,
    ~ equal(i19,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(170,axiom,
    ~ equal(i18,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(171,axiom,
    ~ equal(i17,i16),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(172,axiom,
    ~ equal(i30,i15),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(177,axiom,
    ~ equal(i25,i15),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(182,axiom,
    ~ equal(i20,i15),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(183,axiom,
    ~ equal(i19,i15),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(184,axiom,
    ~ equal(i18,i15),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(187,axiom,
    ~ equal(i30,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(192,axiom,
    ~ equal(i25,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(196,axiom,
    ~ equal(i21,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(197,axiom,
    ~ equal(i20,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(198,axiom,
    ~ equal(i19,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(199,axiom,
    ~ equal(i18,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(200,axiom,
    ~ equal(i17,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(201,axiom,
    ~ equal(i16,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(202,axiom,
    ~ equal(i15,i14),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(203,axiom,
    ~ equal(i30,i13),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(214,axiom,
    ~ equal(i19,i13),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(220,axiom,
    ~ equal(i30,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(221,axiom,
    ~ equal(i29,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(223,axiom,
    ~ equal(i27,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(224,axiom,
    ~ equal(i26,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(225,axiom,
    ~ equal(i25,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(226,axiom,
    ~ equal(i24,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(227,axiom,
    ~ equal(i23,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(228,axiom,
    ~ equal(i22,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(229,axiom,
    ~ equal(i21,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(230,axiom,
    ~ equal(i20,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(231,axiom,
    ~ equal(i19,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(232,axiom,
    ~ equal(i18,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(233,axiom,
    ~ equal(i17,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(234,axiom,
    ~ equal(i16,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(235,axiom,
    ~ equal(i15,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(236,axiom,
    ~ equal(i14,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(237,axiom,
    ~ equal(i13,i12),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(238,axiom,
    ~ equal(i30,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(243,axiom,
    ~ equal(i25,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(247,axiom,
    ~ equal(i21,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(248,axiom,
    ~ equal(i20,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(249,axiom,
    ~ equal(i19,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(250,axiom,
    ~ equal(i18,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(251,axiom,
    ~ equal(i17,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(252,axiom,
    ~ equal(i16,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(253,axiom,
    ~ equal(i15,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(254,axiom,
    ~ equal(i14,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(255,axiom,
    ~ equal(i13,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(256,axiom,
    ~ equal(i12,i11),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(257,axiom,
    ~ equal(i30,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(258,axiom,
    ~ equal(i29,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(259,axiom,
    ~ equal(i28,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(260,axiom,
    ~ equal(i27,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(261,axiom,
    ~ equal(i26,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(262,axiom,
    ~ equal(i25,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(263,axiom,
    ~ equal(i24,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(264,axiom,
    ~ equal(i23,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(265,axiom,
    ~ equal(i22,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(266,axiom,
    ~ equal(i21,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(267,axiom,
    ~ equal(i20,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(268,axiom,
    ~ equal(i19,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(269,axiom,
    ~ equal(i18,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(270,axiom,
    ~ equal(i17,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(271,axiom,
    ~ equal(i16,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(272,axiom,
    ~ equal(i15,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(273,axiom,
    ~ equal(i14,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(274,axiom,
    ~ equal(i13,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(275,axiom,
    ~ equal(i12,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(276,axiom,
    ~ equal(i11,i10),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(288,axiom,
    ~ equal(i19,i9),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(294,axiom,
    ~ equal(i13,i9),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(298,axiom,
    ~ equal(i30,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(303,axiom,
    ~ equal(i25,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(308,axiom,
    ~ equal(i20,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(309,axiom,
    ~ equal(i19,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(310,axiom,
    ~ equal(i18,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(313,axiom,
    ~ equal(i15,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(315,axiom,
    ~ equal(i13,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(316,axiom,
    ~ equal(i12,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(317,axiom,
    ~ equal(i11,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(318,axiom,
    ~ equal(i10,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(319,axiom,
    ~ equal(i9,i8),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(320,axiom,
    ~ equal(i30,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(321,axiom,
    ~ equal(i29,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(322,axiom,
    ~ equal(i28,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(323,axiom,
    ~ equal(i27,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(324,axiom,
    ~ equal(i26,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(325,axiom,
    ~ equal(i25,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(326,axiom,
    ~ equal(i24,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(327,axiom,
    ~ equal(i23,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(328,axiom,
    ~ equal(i22,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(329,axiom,
    ~ equal(i21,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(330,axiom,
    ~ equal(i20,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(331,axiom,
    ~ equal(i19,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(332,axiom,
    ~ equal(i18,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(333,axiom,
    ~ equal(i17,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(334,axiom,
    ~ equal(i16,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(335,axiom,
    ~ equal(i15,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(336,axiom,
    ~ equal(i14,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(337,axiom,
    ~ equal(i13,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(338,axiom,
    ~ equal(i12,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(339,axiom,
    ~ equal(i11,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(340,axiom,
    ~ equal(i10,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(341,axiom,
    ~ equal(i9,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(342,axiom,
    ~ equal(i8,i7),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(343,axiom,
    ~ equal(i30,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(348,axiom,
    ~ equal(i25,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(352,axiom,
    ~ equal(i21,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(353,axiom,
    ~ equal(i20,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(354,axiom,
    ~ equal(i19,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(355,axiom,
    ~ equal(i18,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(358,axiom,
    ~ equal(i15,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(359,axiom,
    ~ equal(i14,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(360,axiom,
    ~ equal(i13,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(361,axiom,
    ~ equal(i12,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(362,axiom,
    ~ equal(i11,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(363,axiom,
    ~ equal(i10,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(364,axiom,
    ~ equal(i9,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(365,axiom,
    ~ equal(i8,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(366,axiom,
    ~ equal(i7,i6),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(367,axiom,
    ~ equal(i30,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(368,axiom,
    ~ equal(i29,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(372,axiom,
    ~ equal(i25,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(376,axiom,
    ~ equal(i21,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(377,axiom,
    ~ equal(i20,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(378,axiom,
    ~ equal(i19,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(379,axiom,
    ~ equal(i18,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(380,axiom,
    ~ equal(i17,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(381,axiom,
    ~ equal(i16,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(382,axiom,
    ~ equal(i15,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(383,axiom,
    ~ equal(i14,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(384,axiom,
    ~ equal(i13,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(385,axiom,
    ~ equal(i12,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(386,axiom,
    ~ equal(i11,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(387,axiom,
    ~ equal(i10,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(388,axiom,
    ~ equal(i9,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(389,axiom,
    ~ equal(i8,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(390,axiom,
    ~ equal(i7,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(391,axiom,
    ~ equal(i6,i5),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(403,axiom,
    ~ equal(i19,i4),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(409,axiom,
    ~ equal(i13,i4),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(418,axiom,
    ~ equal(i30,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(419,axiom,
    ~ equal(i29,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(421,axiom,
    ~ equal(i27,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(422,axiom,
    ~ equal(i26,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(423,axiom,
    ~ equal(i25,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(426,axiom,
    ~ equal(i22,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(427,axiom,
    ~ equal(i21,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(428,axiom,
    ~ equal(i20,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(429,axiom,
    ~ equal(i19,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(430,axiom,
    ~ equal(i18,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(431,axiom,
    ~ equal(i17,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(432,axiom,
    ~ equal(i16,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(433,axiom,
    ~ equal(i15,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(434,axiom,
    ~ equal(i14,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(435,axiom,
    ~ equal(i13,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(436,axiom,
    ~ equal(i12,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(437,axiom,
    ~ equal(i11,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(438,axiom,
    ~ equal(i10,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(439,axiom,
    ~ equal(i9,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(440,axiom,
    ~ equal(i8,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(441,axiom,
    ~ equal(i7,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(442,axiom,
    ~ equal(i6,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(443,axiom,
    ~ equal(i5,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(444,axiom,
    ~ equal(i4,i3),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(445,axiom,
    ~ equal(i30,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(456,axiom,
    ~ equal(i19,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(462,axiom,
    ~ equal(i13,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(466,axiom,
    ~ equal(i9,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(467,axiom,
    ~ equal(i8,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(468,axiom,
    ~ equal(i7,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(469,axiom,
    ~ equal(i6,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(470,axiom,
    ~ equal(i5,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(471,axiom,
    ~ equal(i4,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(472,axiom,
    ~ equal(i3,i2),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(490,axiom,
    ~ equal(i13,i1),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(502,axiom,
    ~ equal(e_1131,e_1130),
    file('SWV527-1.030.p',unknown),
    [] ).

cnf(569,plain,
    equal(select(a_1128,i10),e10),
    inference(spr,[status(thm),theory(equality)],[63,1]),
    [iquote('0:SpR:63.0,1.0')] ).

cnf(570,plain,
    equal(select(a_1078,i10),e10),
    inference(spr,[status(thm),theory(equality)],[13,1]),
    [iquote('0:SpR:13.0,1.0')] ).

cnf(571,plain,
    equal(select(a_1127,i7),e7),
    inference(spr,[status(thm),theory(equality)],[62,1]),
    [iquote('0:SpR:62.0,1.0')] ).

cnf(572,plain,
    equal(select(a_1075,i7),e7),
    inference(spr,[status(thm),theory(equality)],[10,1]),
    [iquote('0:SpR:10.0,1.0')] ).

cnf(573,plain,
    equal(select(a_1126,i24),e24),
    inference(spr,[status(thm),theory(equality)],[61,1]),
    [iquote('0:SpR:61.0,1.0')] ).

cnf(574,plain,
    equal(select(a_1092,i24),e24),
    inference(spr,[status(thm),theory(equality)],[27,1]),
    [iquote('0:SpR:27.0,1.0')] ).

cnf(575,plain,
    equal(select(a_1125,i23),e23),
    inference(spr,[status(thm),theory(equality)],[60,1]),
    [iquote('0:SpR:60.0,1.0')] ).

cnf(576,plain,
    equal(select(a_1091,i23),e23),
    inference(spr,[status(thm),theory(equality)],[26,1]),
    [iquote('0:SpR:26.0,1.0')] ).

cnf(577,plain,
    equal(select(a_1124,i17),e17),
    inference(spr,[status(thm),theory(equality)],[59,1]),
    [iquote('0:SpR:59.0,1.0')] ).

cnf(578,plain,
    equal(select(a_1085,i17),e17),
    inference(spr,[status(thm),theory(equality)],[20,1]),
    [iquote('0:SpR:20.0,1.0')] ).

cnf(579,plain,
    equal(select(a_1123,i28),e28),
    inference(spr,[status(thm),theory(equality)],[58,1]),
    [iquote('0:SpR:58.0,1.0')] ).

cnf(580,plain,
    equal(select(a_1096,i28),e28),
    inference(spr,[status(thm),theory(equality)],[31,1]),
    [iquote('0:SpR:31.0,1.0')] ).

cnf(581,plain,
    equal(select(a_1122,i16),e16),
    inference(spr,[status(thm),theory(equality)],[57,1]),
    [iquote('0:SpR:57.0,1.0')] ).

cnf(582,plain,
    equal(select(a_1084,i16),e16),
    inference(spr,[status(thm),theory(equality)],[19,1]),
    [iquote('0:SpR:19.0,1.0')] ).

cnf(583,plain,
    equal(select(a_1121,i12),e12),
    inference(spr,[status(thm),theory(equality)],[56,1]),
    [iquote('0:SpR:56.0,1.0')] ).

cnf(584,plain,
    equal(select(a_1080,i12),e12),
    inference(spr,[status(thm),theory(equality)],[15,1]),
    [iquote('0:SpR:15.0,1.0')] ).

cnf(585,plain,
    equal(select(a_1120,i3),e3),
    inference(spr,[status(thm),theory(equality)],[55,1]),
    [iquote('0:SpR:55.0,1.0')] ).

cnf(586,plain,
    equal(select(a_1071,i3),e3),
    inference(spr,[status(thm),theory(equality)],[6,1]),
    [iquote('0:SpR:6.0,1.0')] ).

cnf(587,plain,
    equal(select(a_1119,i27),e27),
    inference(spr,[status(thm),theory(equality)],[54,1]),
    [iquote('0:SpR:54.0,1.0')] ).

cnf(588,plain,
    equal(select(a_1095,i27),e27),
    inference(spr,[status(thm),theory(equality)],[30,1]),
    [iquote('0:SpR:30.0,1.0')] ).

cnf(589,plain,
    equal(select(a_1118,i22),e22),
    inference(spr,[status(thm),theory(equality)],[53,1]),
    [iquote('0:SpR:53.0,1.0')] ).

cnf(590,plain,
    equal(select(a_1090,i22),e22),
    inference(spr,[status(thm),theory(equality)],[25,1]),
    [iquote('0:SpR:25.0,1.0')] ).

cnf(591,plain,
    equal(select(a_1117,i26),e26),
    inference(spr,[status(thm),theory(equality)],[52,1]),
    [iquote('0:SpR:52.0,1.0')] ).

cnf(592,plain,
    equal(select(a_1094,i26),e26),
    inference(spr,[status(thm),theory(equality)],[29,1]),
    [iquote('0:SpR:29.0,1.0')] ).

cnf(593,plain,
    equal(select(a_1116,i5),e5),
    inference(spr,[status(thm),theory(equality)],[51,1]),
    [iquote('0:SpR:51.0,1.0')] ).

cnf(594,plain,
    equal(select(a_1073,i5),e5),
    inference(spr,[status(thm),theory(equality)],[8,1]),
    [iquote('0:SpR:8.0,1.0')] ).

cnf(595,plain,
    equal(select(a_1115,i29),e29),
    inference(spr,[status(thm),theory(equality)],[50,1]),
    [iquote('0:SpR:50.0,1.0')] ).

cnf(596,plain,
    equal(select(a_1097,i29),e29),
    inference(spr,[status(thm),theory(equality)],[32,1]),
    [iquote('0:SpR:32.0,1.0')] ).

cnf(597,plain,
    equal(select(a_1114,i14),e14),
    inference(spr,[status(thm),theory(equality)],[49,1]),
    [iquote('0:SpR:49.0,1.0')] ).

cnf(598,plain,
    equal(select(a_1082,i14),e14),
    inference(spr,[status(thm),theory(equality)],[17,1]),
    [iquote('0:SpR:17.0,1.0')] ).

cnf(599,plain,
    equal(select(a_1113,i11),e11),
    inference(spr,[status(thm),theory(equality)],[48,1]),
    [iquote('0:SpR:48.0,1.0')] ).

cnf(600,plain,
    equal(select(a_1079,i11),e11),
    inference(spr,[status(thm),theory(equality)],[14,1]),
    [iquote('0:SpR:14.0,1.0')] ).

cnf(601,plain,
    equal(select(a_1112,i6),e6),
    inference(spr,[status(thm),theory(equality)],[47,1]),
    [iquote('0:SpR:47.0,1.0')] ).

cnf(602,plain,
    equal(select(a_1074,i6),e6),
    inference(spr,[status(thm),theory(equality)],[9,1]),
    [iquote('0:SpR:9.0,1.0')] ).

cnf(603,plain,
    equal(select(a_1111,i21),e21),
    inference(spr,[status(thm),theory(equality)],[46,1]),
    [iquote('0:SpR:46.0,1.0')] ).

cnf(604,plain,
    equal(select(a_1089,i21),e21),
    inference(spr,[status(thm),theory(equality)],[24,1]),
    [iquote('0:SpR:24.0,1.0')] ).

cnf(605,plain,
    equal(select(a_1110,i8),e8),
    inference(spr,[status(thm),theory(equality)],[45,1]),
    [iquote('0:SpR:45.0,1.0')] ).

cnf(606,plain,
    equal(select(a_1076,i8),e8),
    inference(spr,[status(thm),theory(equality)],[11,1]),
    [iquote('0:SpR:11.0,1.0')] ).

cnf(607,plain,
    equal(select(a_1109,i20),e20),
    inference(spr,[status(thm),theory(equality)],[44,1]),
    [iquote('0:SpR:44.0,1.0')] ).

cnf(608,plain,
    equal(select(a_1088,i20),e20),
    inference(spr,[status(thm),theory(equality)],[23,1]),
    [iquote('0:SpR:23.0,1.0')] ).

cnf(609,plain,
    equal(select(a_1108,i18),e18),
    inference(spr,[status(thm),theory(equality)],[43,1]),
    [iquote('0:SpR:43.0,1.0')] ).

cnf(610,plain,
    equal(select(a_1086,i18),e18),
    inference(spr,[status(thm),theory(equality)],[21,1]),
    [iquote('0:SpR:21.0,1.0')] ).

cnf(611,plain,
    equal(select(a_1107,i25),e25),
    inference(spr,[status(thm),theory(equality)],[42,1]),
    [iquote('0:SpR:42.0,1.0')] ).

cnf(612,plain,
    equal(select(a_1093,i25),e25),
    inference(spr,[status(thm),theory(equality)],[28,1]),
    [iquote('0:SpR:28.0,1.0')] ).

cnf(613,plain,
    equal(select(a_1106,i15),e15),
    inference(spr,[status(thm),theory(equality)],[41,1]),
    [iquote('0:SpR:41.0,1.0')] ).

cnf(614,plain,
    equal(select(a_1083,i15),e15),
    inference(spr,[status(thm),theory(equality)],[18,1]),
    [iquote('0:SpR:18.0,1.0')] ).

cnf(615,plain,
    equal(select(a_1105,i2),e2),
    inference(spr,[status(thm),theory(equality)],[40,1]),
    [iquote('0:SpR:40.0,1.0')] ).

cnf(616,plain,
    equal(select(a_1070,i2),e2),
    inference(spr,[status(thm),theory(equality)],[5,1]),
    [iquote('0:SpR:5.0,1.0')] ).

cnf(617,plain,
    equal(select(a_1104,i30),e30),
    inference(spr,[status(thm),theory(equality)],[39,1]),
    [iquote('0:SpR:39.0,1.0')] ).

cnf(618,plain,
    equal(select(a_1098,i30),e30),
    inference(spr,[status(thm),theory(equality)],[33,1]),
    [iquote('0:SpR:33.0,1.0')] ).

cnf(619,plain,
    equal(select(a_1103,i9),e9),
    inference(spr,[status(thm),theory(equality)],[38,1]),
    [iquote('0:SpR:38.0,1.0')] ).

cnf(620,plain,
    equal(select(a_1077,i9),e9),
    inference(spr,[status(thm),theory(equality)],[12,1]),
    [iquote('0:SpR:12.0,1.0')] ).

cnf(621,plain,
    equal(select(a_1102,i4),e4),
    inference(spr,[status(thm),theory(equality)],[37,1]),
    [iquote('0:SpR:37.0,1.0')] ).

cnf(622,plain,
    equal(select(a_1072,i4),e4),
    inference(spr,[status(thm),theory(equality)],[7,1]),
    [iquote('0:SpR:7.0,1.0')] ).

cnf(623,plain,
    equal(select(a_1101,i19),e19),
    inference(spr,[status(thm),theory(equality)],[36,1]),
    [iquote('0:SpR:36.0,1.0')] ).

cnf(624,plain,
    equal(select(a_1087,i19),e19),
    inference(spr,[status(thm),theory(equality)],[22,1]),
    [iquote('0:SpR:22.0,1.0')] ).

cnf(625,plain,
    equal(select(a_1100,i1),e1),
    inference(spr,[status(thm),theory(equality)],[35,1]),
    [iquote('0:SpR:35.0,1.0')] ).

cnf(626,plain,
    equal(select(a_1069,i1),e1),
    inference(spr,[status(thm),theory(equality)],[4,1]),
    [iquote('0:SpR:4.0,1.0')] ).

cnf(627,plain,
    equal(select(a_1099,i13),e13),
    inference(spr,[status(thm),theory(equality)],[34,1]),
    [iquote('0:SpR:34.0,1.0')] ).

cnf(628,plain,
    equal(select(a_1081,i13),e13),
    inference(spr,[status(thm),theory(equality)],[16,1]),
    [iquote('0:SpR:16.0,1.0')] ).

cnf(635,plain,
    ( equal(i10,u)
    | equal(select(a_1128,u),select(a_1127,u)) ),
    inference(spr,[status(thm),theory(equality)],[63,2]),
    [iquote('0:SpR:63.0,2.1')] ).

cnf(636,plain,
    ( equal(i10,u)
    | equal(select(a_1078,u),select(a_1077,u)) ),
    inference(spr,[status(thm),theory(equality)],[13,2]),
    [iquote('0:SpR:13.0,2.1')] ).

cnf(637,plain,
    ( equal(i7,u)
    | equal(select(a_1127,u),select(a_1126,u)) ),
    inference(spr,[status(thm),theory(equality)],[62,2]),
    [iquote('0:SpR:62.0,2.1')] ).

cnf(638,plain,
    ( equal(i7,u)
    | equal(select(a_1075,u),select(a_1074,u)) ),
    inference(spr,[status(thm),theory(equality)],[10,2]),
    [iquote('0:SpR:10.0,2.1')] ).

cnf(639,plain,
    ( equal(i24,u)
    | equal(select(a_1126,u),select(a_1125,u)) ),
    inference(spr,[status(thm),theory(equality)],[61,2]),
    [iquote('0:SpR:61.0,2.1')] ).

cnf(640,plain,
    ( equal(i24,u)
    | equal(select(a_1092,u),select(a_1091,u)) ),
    inference(spr,[status(thm),theory(equality)],[27,2]),
    [iquote('0:SpR:27.0,2.1')] ).

cnf(641,plain,
    ( equal(i23,u)
    | equal(select(a_1125,u),select(a_1124,u)) ),
    inference(spr,[status(thm),theory(equality)],[60,2]),
    [iquote('0:SpR:60.0,2.1')] ).

cnf(642,plain,
    ( equal(i23,u)
    | equal(select(a_1091,u),select(a_1090,u)) ),
    inference(spr,[status(thm),theory(equality)],[26,2]),
    [iquote('0:SpR:26.0,2.1')] ).

cnf(643,plain,
    ( equal(i17,u)
    | equal(select(a_1124,u),select(a_1123,u)) ),
    inference(spr,[status(thm),theory(equality)],[59,2]),
    [iquote('0:SpR:59.0,2.1')] ).

cnf(644,plain,
    ( equal(i17,u)
    | equal(select(a_1085,u),select(a_1084,u)) ),
    inference(spr,[status(thm),theory(equality)],[20,2]),
    [iquote('0:SpR:20.0,2.1')] ).

cnf(645,plain,
    ( equal(i28,u)
    | equal(select(a_1123,u),select(a_1122,u)) ),
    inference(spr,[status(thm),theory(equality)],[58,2]),
    [iquote('0:SpR:58.0,2.1')] ).

cnf(646,plain,
    ( equal(i28,u)
    | equal(select(a_1096,u),select(a_1095,u)) ),
    inference(spr,[status(thm),theory(equality)],[31,2]),
    [iquote('0:SpR:31.0,2.1')] ).

cnf(647,plain,
    ( equal(i16,u)
    | equal(select(a_1122,u),select(a_1121,u)) ),
    inference(spr,[status(thm),theory(equality)],[57,2]),
    [iquote('0:SpR:57.0,2.1')] ).

cnf(648,plain,
    ( equal(i16,u)
    | equal(select(a_1084,u),select(a_1083,u)) ),
    inference(spr,[status(thm),theory(equality)],[19,2]),
    [iquote('0:SpR:19.0,2.1')] ).

cnf(649,plain,
    ( equal(i12,u)
    | equal(select(a_1121,u),select(a_1120,u)) ),
    inference(spr,[status(thm),theory(equality)],[56,2]),
    [iquote('0:SpR:56.0,2.1')] ).

cnf(650,plain,
    ( equal(i12,u)
    | equal(select(a_1080,u),select(a_1079,u)) ),
    inference(spr,[status(thm),theory(equality)],[15,2]),
    [iquote('0:SpR:15.0,2.1')] ).

cnf(651,plain,
    ( equal(i3,u)
    | equal(select(a_1120,u),select(a_1119,u)) ),
    inference(spr,[status(thm),theory(equality)],[55,2]),
    [iquote('0:SpR:55.0,2.1')] ).

cnf(652,plain,
    ( equal(i3,u)
    | equal(select(a_1071,u),select(a_1070,u)) ),
    inference(spr,[status(thm),theory(equality)],[6,2]),
    [iquote('0:SpR:6.0,2.1')] ).

cnf(653,plain,
    ( equal(i27,u)
    | equal(select(a_1119,u),select(a_1118,u)) ),
    inference(spr,[status(thm),theory(equality)],[54,2]),
    [iquote('0:SpR:54.0,2.1')] ).

cnf(654,plain,
    ( equal(i27,u)
    | equal(select(a_1095,u),select(a_1094,u)) ),
    inference(spr,[status(thm),theory(equality)],[30,2]),
    [iquote('0:SpR:30.0,2.1')] ).

cnf(655,plain,
    ( equal(i22,u)
    | equal(select(a_1118,u),select(a_1117,u)) ),
    inference(spr,[status(thm),theory(equality)],[53,2]),
    [iquote('0:SpR:53.0,2.1')] ).

cnf(656,plain,
    ( equal(i22,u)
    | equal(select(a_1090,u),select(a_1089,u)) ),
    inference(spr,[status(thm),theory(equality)],[25,2]),
    [iquote('0:SpR:25.0,2.1')] ).

cnf(657,plain,
    ( equal(i26,u)
    | equal(select(a_1117,u),select(a_1116,u)) ),
    inference(spr,[status(thm),theory(equality)],[52,2]),
    [iquote('0:SpR:52.0,2.1')] ).

cnf(658,plain,
    ( equal(i26,u)
    | equal(select(a_1094,u),select(a_1093,u)) ),
    inference(spr,[status(thm),theory(equality)],[29,2]),
    [iquote('0:SpR:29.0,2.1')] ).

cnf(659,plain,
    ( equal(i5,u)
    | equal(select(a_1116,u),select(a_1115,u)) ),
    inference(spr,[status(thm),theory(equality)],[51,2]),
    [iquote('0:SpR:51.0,2.1')] ).

cnf(660,plain,
    ( equal(i5,u)
    | equal(select(a_1073,u),select(a_1072,u)) ),
    inference(spr,[status(thm),theory(equality)],[8,2]),
    [iquote('0:SpR:8.0,2.1')] ).

cnf(661,plain,
    ( equal(i29,u)
    | equal(select(a_1115,u),select(a_1114,u)) ),
    inference(spr,[status(thm),theory(equality)],[50,2]),
    [iquote('0:SpR:50.0,2.1')] ).

cnf(662,plain,
    ( equal(i29,u)
    | equal(select(a_1097,u),select(a_1096,u)) ),
    inference(spr,[status(thm),theory(equality)],[32,2]),
    [iquote('0:SpR:32.0,2.1')] ).

cnf(663,plain,
    ( equal(i14,u)
    | equal(select(a_1114,u),select(a_1113,u)) ),
    inference(spr,[status(thm),theory(equality)],[49,2]),
    [iquote('0:SpR:49.0,2.1')] ).

cnf(664,plain,
    ( equal(i14,u)
    | equal(select(a_1082,u),select(a_1081,u)) ),
    inference(spr,[status(thm),theory(equality)],[17,2]),
    [iquote('0:SpR:17.0,2.1')] ).

cnf(665,plain,
    ( equal(i11,u)
    | equal(select(a_1113,u),select(a_1112,u)) ),
    inference(spr,[status(thm),theory(equality)],[48,2]),
    [iquote('0:SpR:48.0,2.1')] ).

cnf(666,plain,
    ( equal(i11,u)
    | equal(select(a_1079,u),select(a_1078,u)) ),
    inference(spr,[status(thm),theory(equality)],[14,2]),
    [iquote('0:SpR:14.0,2.1')] ).

cnf(667,plain,
    ( equal(i6,u)
    | equal(select(a_1112,u),select(a_1111,u)) ),
    inference(spr,[status(thm),theory(equality)],[47,2]),
    [iquote('0:SpR:47.0,2.1')] ).

cnf(668,plain,
    ( equal(i6,u)
    | equal(select(a_1074,u),select(a_1073,u)) ),
    inference(spr,[status(thm),theory(equality)],[9,2]),
    [iquote('0:SpR:9.0,2.1')] ).

cnf(669,plain,
    ( equal(i21,u)
    | equal(select(a_1111,u),select(a_1110,u)) ),
    inference(spr,[status(thm),theory(equality)],[46,2]),
    [iquote('0:SpR:46.0,2.1')] ).

cnf(670,plain,
    ( equal(i21,u)
    | equal(select(a_1089,u),select(a_1088,u)) ),
    inference(spr,[status(thm),theory(equality)],[24,2]),
    [iquote('0:SpR:24.0,2.1')] ).

cnf(671,plain,
    ( equal(i8,u)
    | equal(select(a_1110,u),select(a_1109,u)) ),
    inference(spr,[status(thm),theory(equality)],[45,2]),
    [iquote('0:SpR:45.0,2.1')] ).

cnf(672,plain,
    ( equal(i8,u)
    | equal(select(a_1076,u),select(a_1075,u)) ),
    inference(spr,[status(thm),theory(equality)],[11,2]),
    [iquote('0:SpR:11.0,2.1')] ).

cnf(673,plain,
    ( equal(i20,u)
    | equal(select(a_1109,u),select(a_1108,u)) ),
    inference(spr,[status(thm),theory(equality)],[44,2]),
    [iquote('0:SpR:44.0,2.1')] ).

cnf(674,plain,
    ( equal(i20,u)
    | equal(select(a_1088,u),select(a_1087,u)) ),
    inference(spr,[status(thm),theory(equality)],[23,2]),
    [iquote('0:SpR:23.0,2.1')] ).

cnf(675,plain,
    ( equal(i18,u)
    | equal(select(a_1108,u),select(a_1107,u)) ),
    inference(spr,[status(thm),theory(equality)],[43,2]),
    [iquote('0:SpR:43.0,2.1')] ).

cnf(676,plain,
    ( equal(i18,u)
    | equal(select(a_1086,u),select(a_1085,u)) ),
    inference(spr,[status(thm),theory(equality)],[21,2]),
    [iquote('0:SpR:21.0,2.1')] ).

cnf(677,plain,
    ( equal(i25,u)
    | equal(select(a_1107,u),select(a_1106,u)) ),
    inference(spr,[status(thm),theory(equality)],[42,2]),
    [iquote('0:SpR:42.0,2.1')] ).

cnf(678,plain,
    ( equal(i25,u)
    | equal(select(a_1093,u),select(a_1092,u)) ),
    inference(spr,[status(thm),theory(equality)],[28,2]),
    [iquote('0:SpR:28.0,2.1')] ).

cnf(679,plain,
    ( equal(i15,u)
    | equal(select(a_1106,u),select(a_1105,u)) ),
    inference(spr,[status(thm),theory(equality)],[41,2]),
    [iquote('0:SpR:41.0,2.1')] ).

cnf(680,plain,
    ( equal(i15,u)
    | equal(select(a_1083,u),select(a_1082,u)) ),
    inference(spr,[status(thm),theory(equality)],[18,2]),
    [iquote('0:SpR:18.0,2.1')] ).

cnf(681,plain,
    ( equal(i2,u)
    | equal(select(a_1105,u),select(a_1104,u)) ),
    inference(spr,[status(thm),theory(equality)],[40,2]),
    [iquote('0:SpR:40.0,2.1')] ).

cnf(682,plain,
    ( equal(i2,u)
    | equal(select(a_1070,u),select(a_1069,u)) ),
    inference(spr,[status(thm),theory(equality)],[5,2]),
    [iquote('0:SpR:5.0,2.1')] ).

cnf(683,plain,
    ( equal(i30,u)
    | equal(select(a_1104,u),select(a_1103,u)) ),
    inference(spr,[status(thm),theory(equality)],[39,2]),
    [iquote('0:SpR:39.0,2.1')] ).

cnf(684,plain,
    ( equal(i30,u)
    | equal(select(a_1098,u),select(a_1097,u)) ),
    inference(spr,[status(thm),theory(equality)],[33,2]),
    [iquote('0:SpR:33.0,2.1')] ).

cnf(685,plain,
    ( equal(i9,u)
    | equal(select(a_1103,u),select(a_1102,u)) ),
    inference(spr,[status(thm),theory(equality)],[38,2]),
    [iquote('0:SpR:38.0,2.1')] ).

cnf(686,plain,
    ( equal(i9,u)
    | equal(select(a_1077,u),select(a_1076,u)) ),
    inference(spr,[status(thm),theory(equality)],[12,2]),
    [iquote('0:SpR:12.0,2.1')] ).

cnf(687,plain,
    ( equal(i4,u)
    | equal(select(a_1102,u),select(a_1101,u)) ),
    inference(spr,[status(thm),theory(equality)],[37,2]),
    [iquote('0:SpR:37.0,2.1')] ).

cnf(688,plain,
    ( equal(i4,u)
    | equal(select(a_1072,u),select(a_1071,u)) ),
    inference(spr,[status(thm),theory(equality)],[7,2]),
    [iquote('0:SpR:7.0,2.1')] ).

cnf(689,plain,
    ( equal(i19,u)
    | equal(select(a_1101,u),select(a_1100,u)) ),
    inference(spr,[status(thm),theory(equality)],[36,2]),
    [iquote('0:SpR:36.0,2.1')] ).

cnf(690,plain,
    ( equal(i19,u)
    | equal(select(a_1087,u),select(a_1086,u)) ),
    inference(spr,[status(thm),theory(equality)],[22,2]),
    [iquote('0:SpR:22.0,2.1')] ).

cnf(691,plain,
    ( equal(i1,u)
    | equal(select(a_1100,u),select(a_1099,u)) ),
    inference(spr,[status(thm),theory(equality)],[35,2]),
    [iquote('0:SpR:35.0,2.1')] ).

cnf(692,plain,
    ( equal(i1,u)
    | equal(select(a1,u),select(a_1069,u)) ),
    inference(spr,[status(thm),theory(equality)],[4,2]),
    [iquote('0:SpR:4.0,2.1')] ).

cnf(693,plain,
    ( equal(i13,u)
    | equal(select(a_1099,u),select(a1,u)) ),
    inference(spr,[status(thm),theory(equality)],[34,2]),
    [iquote('0:SpR:34.0,2.1')] ).

cnf(694,plain,
    ( equal(i13,u)
    | equal(select(a_1081,u),select(a_1080,u)) ),
    inference(spr,[status(thm),theory(equality)],[16,2]),
    [iquote('0:SpR:16.0,2.1')] ).

cnf(923,plain,
    ( equal(i_1129,i10)
    | equal(select(a_1127,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[635,65]),
    [iquote('0:SpR:635.1,65.0')] ).

cnf(928,plain,
    equal(i_1129,i10),
    inference(spt,[spt(split,[position(s1)])],[923]),
    [iquote('1:Spt:923.0')] ).

cnf(930,plain,
    equal(select(a_1128,i10),e_1131),
    inference(rew,[status(thm),theory(equality)],[928,65]),
    [iquote('1:Rew:928.0,65.0')] ).

cnf(931,plain,
    equal(select(a_1098,i10),e_1130),
    inference(rew,[status(thm),theory(equality)],[928,64]),
    [iquote('1:Rew:928.0,64.0')] ).

cnf(934,plain,
    equal(e_1131,e10),
    inference(rew,[status(thm),theory(equality)],[569,930]),
    [iquote('1:Rew:569.0,930.0')] ).

cnf(935,plain,
    ~ equal(e_1130,e10),
    inference(rew,[status(thm),theory(equality)],[934,502]),
    [iquote('1:Rew:934.0,502.0')] ).

cnf(1142,plain,
    ( equal(i30,i10)
    | equal(select(a_1097,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[684,931]),
    [iquote('1:SpR:684.1,931.0')] ).

cnf(1146,plain,
    equal(select(a_1097,i10),e_1130),
    inference(mrr,[status(thm)],[1142,257]),
    [iquote('1:MRR:1142.0,257.0')] ).

cnf(1154,plain,
    ( equal(i29,i10)
    | equal(select(a_1096,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1146,662]),
    [iquote('1:SpR:1146.0,662.1')] ).

cnf(1155,plain,
    equal(select(a_1096,i10),e_1130),
    inference(mrr,[status(thm)],[1154,258]),
    [iquote('1:MRR:1154.0,258.0')] ).

cnf(1159,plain,
    ( equal(i28,i10)
    | equal(select(a_1095,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1155,646]),
    [iquote('1:SpR:1155.0,646.1')] ).

cnf(1160,plain,
    equal(select(a_1095,i10),e_1130),
    inference(mrr,[status(thm)],[1159,259]),
    [iquote('1:MRR:1159.0,259.0')] ).

cnf(1164,plain,
    ( equal(i27,i10)
    | equal(select(a_1094,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1160,654]),
    [iquote('1:SpR:1160.0,654.1')] ).

cnf(1165,plain,
    equal(select(a_1094,i10),e_1130),
    inference(mrr,[status(thm)],[1164,260]),
    [iquote('1:MRR:1164.0,260.0')] ).

cnf(1169,plain,
    ( equal(i26,i10)
    | equal(select(a_1093,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1165,658]),
    [iquote('1:SpR:1165.0,658.1')] ).

cnf(1170,plain,
    equal(select(a_1093,i10),e_1130),
    inference(mrr,[status(thm)],[1169,261]),
    [iquote('1:MRR:1169.0,261.0')] ).

cnf(1178,plain,
    ( equal(i25,i10)
    | equal(select(a_1092,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1170,678]),
    [iquote('1:SpR:1170.0,678.1')] ).

cnf(1179,plain,
    equal(select(a_1092,i10),e_1130),
    inference(mrr,[status(thm)],[1178,262]),
    [iquote('1:MRR:1178.0,262.0')] ).

cnf(1183,plain,
    ( equal(i24,i10)
    | equal(select(a_1091,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1179,640]),
    [iquote('1:SpR:1179.0,640.1')] ).

cnf(1184,plain,
    equal(select(a_1091,i10),e_1130),
    inference(mrr,[status(thm)],[1183,263]),
    [iquote('1:MRR:1183.0,263.0')] ).

cnf(1188,plain,
    ( equal(i23,i10)
    | equal(select(a_1090,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1184,642]),
    [iquote('1:SpR:1184.0,642.1')] ).

cnf(1189,plain,
    equal(select(a_1090,i10),e_1130),
    inference(mrr,[status(thm)],[1188,264]),
    [iquote('1:MRR:1188.0,264.0')] ).

cnf(1193,plain,
    ( equal(i22,i10)
    | equal(select(a_1089,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1189,656]),
    [iquote('1:SpR:1189.0,656.1')] ).

cnf(1194,plain,
    equal(select(a_1089,i10),e_1130),
    inference(mrr,[status(thm)],[1193,265]),
    [iquote('1:MRR:1193.0,265.0')] ).

cnf(1202,plain,
    ( equal(i21,i10)
    | equal(select(a_1088,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1194,670]),
    [iquote('1:SpR:1194.0,670.1')] ).

cnf(1203,plain,
    equal(select(a_1088,i10),e_1130),
    inference(mrr,[status(thm)],[1202,266]),
    [iquote('1:MRR:1202.0,266.0')] ).

cnf(1207,plain,
    ( equal(i20,i10)
    | equal(select(a_1087,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1203,674]),
    [iquote('1:SpR:1203.0,674.1')] ).

cnf(1208,plain,
    equal(select(a_1087,i10),e_1130),
    inference(mrr,[status(thm)],[1207,267]),
    [iquote('1:MRR:1207.0,267.0')] ).

cnf(1221,plain,
    ( equal(i19,i10)
    | equal(select(a_1086,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[690,1208]),
    [iquote('1:SpR:690.1,1208.0')] ).

cnf(1225,plain,
    equal(select(a_1086,i10),e_1130),
    inference(mrr,[status(thm)],[1221,268]),
    [iquote('1:MRR:1221.0,268.0')] ).

cnf(1229,plain,
    ( equal(i18,i10)
    | equal(select(a_1085,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1225,676]),
    [iquote('1:SpR:1225.0,676.1')] ).

cnf(1230,plain,
    equal(select(a_1085,i10),e_1130),
    inference(mrr,[status(thm)],[1229,269]),
    [iquote('1:MRR:1229.0,269.0')] ).

cnf(1234,plain,
    ( equal(i17,i10)
    | equal(select(a_1084,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1230,644]),
    [iquote('1:SpR:1230.0,644.1')] ).

cnf(1235,plain,
    equal(select(a_1084,i10),e_1130),
    inference(mrr,[status(thm)],[1234,270]),
    [iquote('1:MRR:1234.0,270.0')] ).

cnf(1239,plain,
    ( equal(i16,i10)
    | equal(select(a_1083,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1235,648]),
    [iquote('1:SpR:1235.0,648.1')] ).

cnf(1240,plain,
    equal(select(a_1083,i10),e_1130),
    inference(mrr,[status(thm)],[1239,271]),
    [iquote('1:MRR:1239.0,271.0')] ).

cnf(1248,plain,
    ( equal(i15,i10)
    | equal(select(a_1082,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1240,680]),
    [iquote('1:SpR:1240.0,680.1')] ).

cnf(1249,plain,
    equal(select(a_1082,i10),e_1130),
    inference(mrr,[status(thm)],[1248,272]),
    [iquote('1:MRR:1248.0,272.0')] ).

cnf(1253,plain,
    ( equal(i14,i10)
    | equal(select(a_1081,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1249,664]),
    [iquote('1:SpR:1249.0,664.1')] ).

cnf(1254,plain,
    equal(select(a_1081,i10),e_1130),
    inference(mrr,[status(thm)],[1253,273]),
    [iquote('1:MRR:1253.0,273.0')] ).

cnf(1266,plain,
    ( equal(i13,i10)
    | equal(select(a_1080,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[694,1254]),
    [iquote('1:SpR:694.1,1254.0')] ).

cnf(1270,plain,
    equal(select(a_1080,i10),e_1130),
    inference(mrr,[status(thm)],[1266,274]),
    [iquote('1:MRR:1266.0,274.0')] ).

cnf(1274,plain,
    ( equal(i12,i10)
    | equal(select(a_1079,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1270,650]),
    [iquote('1:SpR:1270.0,650.1')] ).

cnf(1275,plain,
    equal(select(a_1079,i10),e_1130),
    inference(mrr,[status(thm)],[1274,275]),
    [iquote('1:MRR:1274.0,275.0')] ).

cnf(1279,plain,
    ( equal(i11,i10)
    | equal(select(a_1078,i10),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1275,666]),
    [iquote('1:SpR:1275.0,666.1')] ).

cnf(1280,plain,
    ( equal(i11,i10)
    | equal(e_1130,e10) ),
    inference(rew,[status(thm),theory(equality)],[570,1279]),
    [iquote('1:Rew:570.0,1279.1')] ).

cnf(1281,plain,
    $false,
    inference(mrr,[status(thm)],[1280,276,935]),
    [iquote('1:MRR:1280.0,1280.1,276.0,935.0')] ).

cnf(1282,plain,
    ~ equal(i_1129,i10),
    inference(spt,[spt(split,[position(sa)])],[1281,928]),
    [iquote('1:Spt:1281.0,923.0,928.0')] ).

cnf(1283,plain,
    equal(select(a_1127,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2)])],[923]),
    [iquote('1:Spt:1281.0,923.1')] ).

cnf(1286,plain,
    ( equal(i_1129,i7)
    | equal(select(a_1126,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[1283,637]),
    [iquote('1:SpR:1283.0,637.1')] ).

cnf(1290,plain,
    ( equal(i_1129,i30)
    | equal(select(a_1097,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[64,684]),
    [iquote('0:SpR:64.0,684.1')] ).

cnf(1297,plain,
    equal(i_1129,i7),
    inference(spt,[spt(split,[position(s2s1)])],[1286]),
    [iquote('2:Spt:1286.0')] ).

cnf(1298,plain,
    equal(select(a_1127,i7),e_1131),
    inference(rew,[status(thm),theory(equality)],[1297,1283]),
    [iquote('2:Rew:1297.0,1283.0')] ).

cnf(1306,plain,
    ( equal(i30,i7)
    | equal(select(a_1097,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[1297,1290]),
    [iquote('2:Rew:1297.0,1290.0')] ).

cnf(1307,plain,
    equal(e_1131,e7),
    inference(rew,[status(thm),theory(equality)],[571,1298]),
    [iquote('2:Rew:571.0,1298.0')] ).

cnf(1308,plain,
    ~ equal(e_1130,e7),
    inference(rew,[status(thm),theory(equality)],[1307,502]),
    [iquote('2:Rew:1307.0,502.0')] ).

cnf(1316,plain,
    ( equal(i30,i7)
    | equal(select(a_1097,i7),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[1297,1306]),
    [iquote('2:Rew:1297.0,1306.1')] ).

cnf(1317,plain,
    equal(select(a_1097,i7),e_1130),
    inference(mrr,[status(thm)],[1316,320]),
    [iquote('2:MRR:1316.0,320.0')] ).

cnf(1340,plain,
    ( equal(i29,i7)
    | equal(select(a_1096,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1317,662]),
    [iquote('2:SpR:1317.0,662.1')] ).

cnf(1341,plain,
    equal(select(a_1096,i7),e_1130),
    inference(mrr,[status(thm)],[1340,321]),
    [iquote('2:MRR:1340.0,321.0')] ).

cnf(1345,plain,
    ( equal(i28,i7)
    | equal(select(a_1095,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1341,646]),
    [iquote('2:SpR:1341.0,646.1')] ).

cnf(1346,plain,
    equal(select(a_1095,i7),e_1130),
    inference(mrr,[status(thm)],[1345,322]),
    [iquote('2:MRR:1345.0,322.0')] ).

cnf(1350,plain,
    ( equal(i27,i7)
    | equal(select(a_1094,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1346,654]),
    [iquote('2:SpR:1346.0,654.1')] ).

cnf(1351,plain,
    equal(select(a_1094,i7),e_1130),
    inference(mrr,[status(thm)],[1350,323]),
    [iquote('2:MRR:1350.0,323.0')] ).

cnf(1355,plain,
    ( equal(i26,i7)
    | equal(select(a_1093,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1351,658]),
    [iquote('2:SpR:1351.0,658.1')] ).

cnf(1356,plain,
    equal(select(a_1093,i7),e_1130),
    inference(mrr,[status(thm)],[1355,324]),
    [iquote('2:MRR:1355.0,324.0')] ).

cnf(1366,plain,
    ( equal(i25,i7)
    | equal(select(a_1092,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1356,678]),
    [iquote('2:SpR:1356.0,678.1')] ).

cnf(1367,plain,
    equal(select(a_1092,i7),e_1130),
    inference(mrr,[status(thm)],[1366,325]),
    [iquote('2:MRR:1366.0,325.0')] ).

cnf(1371,plain,
    ( equal(i24,i7)
    | equal(select(a_1091,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1367,640]),
    [iquote('2:SpR:1367.0,640.1')] ).

cnf(1372,plain,
    equal(select(a_1091,i7),e_1130),
    inference(mrr,[status(thm)],[1371,326]),
    [iquote('2:MRR:1371.0,326.0')] ).

cnf(1376,plain,
    ( equal(i23,i7)
    | equal(select(a_1090,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1372,642]),
    [iquote('2:SpR:1372.0,642.1')] ).

cnf(1377,plain,
    equal(select(a_1090,i7),e_1130),
    inference(mrr,[status(thm)],[1376,327]),
    [iquote('2:MRR:1376.0,327.0')] ).

cnf(1381,plain,
    ( equal(i22,i7)
    | equal(select(a_1089,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1377,656]),
    [iquote('2:SpR:1377.0,656.1')] ).

cnf(1382,plain,
    equal(select(a_1089,i7),e_1130),
    inference(mrr,[status(thm)],[1381,328]),
    [iquote('2:MRR:1381.0,328.0')] ).

cnf(1742,plain,
    ( equal(i21,i7)
    | equal(select(a_1088,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1382,670]),
    [iquote('2:SpR:1382.0,670.1')] ).

cnf(1743,plain,
    equal(select(a_1088,i7),e_1130),
    inference(mrr,[status(thm)],[1742,329]),
    [iquote('2:MRR:1742.0,329.0')] ).

cnf(1750,plain,
    ( equal(i20,i7)
    | equal(select(a_1087,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1743,674]),
    [iquote('2:SpR:1743.0,674.1')] ).

cnf(1751,plain,
    equal(select(a_1087,i7),e_1130),
    inference(mrr,[status(thm)],[1750,330]),
    [iquote('2:MRR:1750.0,330.0')] ).

cnf(1758,plain,
    ( equal(i19,i7)
    | equal(select(a_1086,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1751,690]),
    [iquote('2:SpR:1751.0,690.1')] ).

cnf(1759,plain,
    equal(select(a_1086,i7),e_1130),
    inference(mrr,[status(thm)],[1758,331]),
    [iquote('2:MRR:1758.0,331.0')] ).

cnf(1766,plain,
    ( equal(i18,i7)
    | equal(select(a_1085,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1759,676]),
    [iquote('2:SpR:1759.0,676.1')] ).

cnf(1767,plain,
    equal(select(a_1085,i7),e_1130),
    inference(mrr,[status(thm)],[1766,332]),
    [iquote('2:MRR:1766.0,332.0')] ).

cnf(1782,plain,
    ( equal(i17,i7)
    | equal(select(a_1084,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1767,644]),
    [iquote('2:SpR:1767.0,644.1')] ).

cnf(1783,plain,
    equal(select(a_1084,i7),e_1130),
    inference(mrr,[status(thm)],[1782,333]),
    [iquote('2:MRR:1782.0,333.0')] ).

cnf(1790,plain,
    ( equal(i16,i7)
    | equal(select(a_1083,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1783,648]),
    [iquote('2:SpR:1783.0,648.1')] ).

cnf(1791,plain,
    equal(select(a_1083,i7),e_1130),
    inference(mrr,[status(thm)],[1790,334]),
    [iquote('2:MRR:1790.0,334.0')] ).

cnf(1798,plain,
    ( equal(i15,i7)
    | equal(select(a_1082,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1791,680]),
    [iquote('2:SpR:1791.0,680.1')] ).

cnf(1799,plain,
    equal(select(a_1082,i7),e_1130),
    inference(mrr,[status(thm)],[1798,335]),
    [iquote('2:MRR:1798.0,335.0')] ).

cnf(1806,plain,
    ( equal(i14,i7)
    | equal(select(a_1081,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1799,664]),
    [iquote('2:SpR:1799.0,664.1')] ).

cnf(1807,plain,
    equal(select(a_1081,i7),e_1130),
    inference(mrr,[status(thm)],[1806,336]),
    [iquote('2:MRR:1806.0,336.0')] ).

cnf(1822,plain,
    ( equal(i13,i7)
    | equal(select(a_1080,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1807,694]),
    [iquote('2:SpR:1807.0,694.1')] ).

cnf(1823,plain,
    equal(select(a_1080,i7),e_1130),
    inference(mrr,[status(thm)],[1822,337]),
    [iquote('2:MRR:1822.0,337.0')] ).

cnf(1830,plain,
    ( equal(i12,i7)
    | equal(select(a_1079,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1823,650]),
    [iquote('2:SpR:1823.0,650.1')] ).

cnf(1831,plain,
    equal(select(a_1079,i7),e_1130),
    inference(mrr,[status(thm)],[1830,338]),
    [iquote('2:MRR:1830.0,338.0')] ).

cnf(1838,plain,
    ( equal(i11,i7)
    | equal(select(a_1078,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1831,666]),
    [iquote('2:SpR:1831.0,666.1')] ).

cnf(1839,plain,
    equal(select(a_1078,i7),e_1130),
    inference(mrr,[status(thm)],[1838,339]),
    [iquote('2:MRR:1838.0,339.0')] ).

cnf(1846,plain,
    ( equal(i10,i7)
    | equal(select(a_1077,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1839,636]),
    [iquote('2:SpR:1839.0,636.1')] ).

cnf(1847,plain,
    equal(select(a_1077,i7),e_1130),
    inference(mrr,[status(thm)],[1846,340]),
    [iquote('2:MRR:1846.0,340.0')] ).

cnf(2254,plain,
    ( equal(i9,i7)
    | equal(select(a_1076,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[1847,686]),
    [iquote('2:SpR:1847.0,686.1')] ).

cnf(2257,plain,
    equal(select(a_1076,i7),e_1130),
    inference(mrr,[status(thm)],[2254,341]),
    [iquote('2:MRR:2254.0,341.0')] ).

cnf(2265,plain,
    ( equal(i8,i7)
    | equal(select(a_1075,i7),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[2257,672]),
    [iquote('2:SpR:2257.0,672.1')] ).

cnf(2268,plain,
    ( equal(i8,i7)
    | equal(e_1130,e7) ),
    inference(rew,[status(thm),theory(equality)],[572,2265]),
    [iquote('2:Rew:572.0,2265.1')] ).

cnf(2269,plain,
    $false,
    inference(mrr,[status(thm)],[2268,342,1308]),
    [iquote('2:MRR:2268.0,2268.1,342.0,1308.0')] ).

cnf(2272,plain,
    ~ equal(i_1129,i7),
    inference(spt,[spt(split,[position(s2sa)])],[2269,1297]),
    [iquote('2:Spt:2269.0,1286.0,1297.0')] ).

cnf(2273,plain,
    equal(select(a_1126,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2)])],[1286]),
    [iquote('2:Spt:2269.0,1286.1')] ).

cnf(2278,plain,
    ( equal(i_1129,i24)
    | equal(select(a_1125,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2273,639]),
    [iquote('2:SpR:2273.0,639.1')] ).

cnf(2330,plain,
    equal(i_1129,i30),
    inference(spt,[spt(split,[position(s2s2s1)])],[1290]),
    [iquote('3:Spt:1290.0')] ).

cnf(2336,plain,
    equal(select(a_1098,i30),e_1130),
    inference(rew,[status(thm),theory(equality)],[2330,64]),
    [iquote('3:Rew:2330.0,64.0')] ).

cnf(2347,plain,
    ( equal(i30,i24)
    | equal(select(a_1125,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[2330,2278]),
    [iquote('3:Rew:2330.0,2278.0')] ).

cnf(2351,plain,
    equal(e_1130,e30),
    inference(rew,[status(thm),theory(equality)],[618,2336]),
    [iquote('3:Rew:618.0,2336.0')] ).

cnf(2352,plain,
    ~ equal(e_1131,e30),
    inference(rew,[status(thm),theory(equality)],[2351,502]),
    [iquote('3:Rew:2351.0,502.0')] ).

cnf(2361,plain,
    ( equal(i30,i24)
    | equal(select(a_1125,i30),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[2330,2347]),
    [iquote('3:Rew:2330.0,2347.1')] ).

cnf(2362,plain,
    equal(select(a_1125,i30),e_1131),
    inference(mrr,[status(thm)],[2361,82]),
    [iquote('3:MRR:2361.0,82.0')] ).

cnf(2404,plain,
    ( equal(i30,i23)
    | equal(select(a_1124,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2362,641]),
    [iquote('3:SpR:2362.0,641.1')] ).

cnf(2407,plain,
    equal(select(a_1124,i30),e_1131),
    inference(mrr,[status(thm)],[2404,88]),
    [iquote('3:MRR:2404.0,88.0')] ).

cnf(2415,plain,
    ( equal(i30,i17)
    | equal(select(a_1123,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2407,643]),
    [iquote('3:SpR:2407.0,643.1')] ).

cnf(2418,plain,
    equal(select(a_1123,i30),e_1131),
    inference(mrr,[status(thm)],[2415,145]),
    [iquote('3:MRR:2415.0,145.0')] ).

cnf(2441,plain,
    ( equal(i30,i28)
    | equal(select(a_1122,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2418,645]),
    [iquote('3:SpR:2418.0,645.1')] ).

cnf(2444,plain,
    equal(select(a_1122,i30),e_1131),
    inference(mrr,[status(thm)],[2441,68]),
    [iquote('3:MRR:2441.0,68.0')] ).

cnf(2452,plain,
    ( equal(i30,i16)
    | equal(select(a_1121,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2444,647]),
    [iquote('3:SpR:2444.0,647.1')] ).

cnf(2455,plain,
    equal(select(a_1121,i30),e_1131),
    inference(mrr,[status(thm)],[2452,158]),
    [iquote('3:MRR:2452.0,158.0')] ).

cnf(2463,plain,
    ( equal(i30,i12)
    | equal(select(a_1120,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2455,649]),
    [iquote('3:SpR:2455.0,649.1')] ).

cnf(2466,plain,
    equal(select(a_1120,i30),e_1131),
    inference(mrr,[status(thm)],[2463,220]),
    [iquote('3:MRR:2463.0,220.0')] ).

cnf(2474,plain,
    ( equal(i30,i3)
    | equal(select(a_1119,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2466,651]),
    [iquote('3:SpR:2466.0,651.1')] ).

cnf(2477,plain,
    equal(select(a_1119,i30),e_1131),
    inference(mrr,[status(thm)],[2474,418]),
    [iquote('3:MRR:2474.0,418.0')] ).

cnf(2500,plain,
    ( equal(i30,i27)
    | equal(select(a_1118,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2477,653]),
    [iquote('3:SpR:2477.0,653.1')] ).

cnf(2503,plain,
    equal(select(a_1118,i30),e_1131),
    inference(mrr,[status(thm)],[2500,70]),
    [iquote('3:MRR:2500.0,70.0')] ).

cnf(2511,plain,
    ( equal(i30,i22)
    | equal(select(a_1117,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2503,655]),
    [iquote('3:SpR:2503.0,655.1')] ).

cnf(2514,plain,
    equal(select(a_1117,i30),e_1131),
    inference(mrr,[status(thm)],[2511,95]),
    [iquote('3:MRR:2511.0,95.0')] ).

cnf(2522,plain,
    ( equal(i30,i26)
    | equal(select(a_1116,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2514,657]),
    [iquote('3:SpR:2514.0,657.1')] ).

cnf(2525,plain,
    equal(select(a_1116,i30),e_1131),
    inference(mrr,[status(thm)],[2522,73]),
    [iquote('3:MRR:2522.0,73.0')] ).

cnf(2533,plain,
    ( equal(i30,i5)
    | equal(select(a_1115,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2525,659]),
    [iquote('3:SpR:2525.0,659.1')] ).

cnf(2536,plain,
    equal(select(a_1115,i30),e_1131),
    inference(mrr,[status(thm)],[2533,367]),
    [iquote('3:MRR:2533.0,367.0')] ).

cnf(2552,plain,
    ( equal(i30,i29)
    | equal(select(a_1114,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2536,661]),
    [iquote('3:SpR:2536.0,661.1')] ).

cnf(2555,plain,
    equal(select(a_1114,i30),e_1131),
    inference(mrr,[status(thm)],[2552,67]),
    [iquote('3:MRR:2552.0,67.0')] ).

cnf(2563,plain,
    ( equal(i30,i14)
    | equal(select(a_1113,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2555,663]),
    [iquote('3:SpR:2555.0,663.1')] ).

cnf(2566,plain,
    equal(select(a_1113,i30),e_1131),
    inference(mrr,[status(thm)],[2563,187]),
    [iquote('3:MRR:2563.0,187.0')] ).

cnf(2574,plain,
    ( equal(i30,i11)
    | equal(select(a_1112,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2566,665]),
    [iquote('3:SpR:2566.0,665.1')] ).

cnf(2577,plain,
    equal(select(a_1112,i30),e_1131),
    inference(mrr,[status(thm)],[2574,238]),
    [iquote('3:MRR:2574.0,238.0')] ).

cnf(2585,plain,
    ( equal(i30,i6)
    | equal(select(a_1111,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2577,667]),
    [iquote('3:SpR:2577.0,667.1')] ).

cnf(2588,plain,
    equal(select(a_1111,i30),e_1131),
    inference(mrr,[status(thm)],[2585,343]),
    [iquote('3:MRR:2585.0,343.0')] ).

cnf(2734,plain,
    ( equal(i30,i21)
    | equal(select(a_1110,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2588,669]),
    [iquote('3:SpR:2588.0,669.1')] ).

cnf(2737,plain,
    equal(select(a_1110,i30),e_1131),
    inference(mrr,[status(thm)],[2734,103]),
    [iquote('3:MRR:2734.0,103.0')] ).

cnf(2745,plain,
    ( equal(i30,i8)
    | equal(select(a_1109,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2737,671]),
    [iquote('3:SpR:2737.0,671.1')] ).

cnf(2748,plain,
    equal(select(a_1109,i30),e_1131),
    inference(mrr,[status(thm)],[2745,298]),
    [iquote('3:MRR:2745.0,298.0')] ).

cnf(2756,plain,
    ( equal(i30,i20)
    | equal(select(a_1108,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2748,673]),
    [iquote('3:SpR:2748.0,673.1')] ).

cnf(2759,plain,
    equal(select(a_1108,i30),e_1131),
    inference(mrr,[status(thm)],[2756,112]),
    [iquote('3:MRR:2756.0,112.0')] ).

cnf(2767,plain,
    ( equal(i30,i18)
    | equal(select(a_1107,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2759,675]),
    [iquote('3:SpR:2759.0,675.1')] ).

cnf(2770,plain,
    equal(select(a_1107,i30),e_1131),
    inference(mrr,[status(thm)],[2767,133]),
    [iquote('3:MRR:2767.0,133.0')] ).

cnf(3070,plain,
    ( equal(i30,i25)
    | equal(select(a_1106,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[2770,677]),
    [iquote('3:SpR:2770.0,677.1')] ).

cnf(3073,plain,
    equal(select(a_1106,i30),e_1131),
    inference(mrr,[status(thm)],[3070,77]),
    [iquote('3:MRR:3070.0,77.0')] ).

cnf(3082,plain,
    ( equal(i30,i15)
    | equal(select(a_1105,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3073,679]),
    [iquote('3:SpR:3073.0,679.1')] ).

cnf(3085,plain,
    equal(select(a_1105,i30),e_1131),
    inference(mrr,[status(thm)],[3082,172]),
    [iquote('3:MRR:3082.0,172.0')] ).

cnf(3094,plain,
    ( equal(i30,i2)
    | equal(select(a_1104,i30),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3085,681]),
    [iquote('3:SpR:3085.0,681.1')] ).

cnf(3097,plain,
    ( equal(i30,i2)
    | equal(e_1131,e30) ),
    inference(rew,[status(thm),theory(equality)],[617,3094]),
    [iquote('3:Rew:617.0,3094.1')] ).

cnf(3098,plain,
    $false,
    inference(mrr,[status(thm)],[3097,445,2352]),
    [iquote('3:MRR:3097.0,3097.1,445.0,2352.0')] ).

cnf(3101,plain,
    ~ equal(i_1129,i30),
    inference(spt,[spt(split,[position(s2s2sa)])],[3098,2330]),
    [iquote('3:Spt:3098.0,1290.0,2330.0')] ).

cnf(3102,plain,
    equal(select(a_1097,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2)])],[1290]),
    [iquote('3:Spt:3098.0,1290.1')] ).

cnf(3108,plain,
    ( equal(i_1129,i29)
    | equal(select(a_1096,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3102,662]),
    [iquote('3:SpR:3102.0,662.1')] ).

cnf(3159,plain,
    equal(i_1129,i24),
    inference(spt,[spt(split,[position(s2s2s2s1)])],[2278]),
    [iquote('4:Spt:2278.0')] ).

cnf(3168,plain,
    equal(select(a_1126,i24),e_1131),
    inference(rew,[status(thm),theory(equality)],[3159,2273]),
    [iquote('4:Rew:3159.0,2273.0')] ).

cnf(3181,plain,
    ( equal(i29,i24)
    | equal(select(a_1096,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[3159,3108]),
    [iquote('4:Rew:3159.0,3108.0')] ).

cnf(3190,plain,
    equal(e_1131,e24),
    inference(rew,[status(thm),theory(equality)],[573,3168]),
    [iquote('4:Rew:573.0,3168.0')] ).

cnf(3191,plain,
    ~ equal(e_1130,e24),
    inference(rew,[status(thm),theory(equality)],[3190,502]),
    [iquote('4:Rew:3190.0,502.0')] ).

cnf(3202,plain,
    ( equal(i29,i24)
    | equal(select(a_1096,i24),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[3159,3181]),
    [iquote('4:Rew:3159.0,3181.1')] ).

cnf(3203,plain,
    equal(select(a_1096,i24),e_1130),
    inference(mrr,[status(thm)],[3202,83]),
    [iquote('4:MRR:3202.0,83.0')] ).

cnf(3271,plain,
    ( equal(i28,i24)
    | equal(select(a_1095,i24),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3203,646]),
    [iquote('4:SpR:3203.0,646.1')] ).

cnf(3274,plain,
    equal(select(a_1095,i24),e_1130),
    inference(mrr,[status(thm)],[3271,84]),
    [iquote('4:MRR:3271.0,84.0')] ).

cnf(3283,plain,
    ( equal(i27,i24)
    | equal(select(a_1094,i24),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3274,654]),
    [iquote('4:SpR:3274.0,654.1')] ).

cnf(3286,plain,
    equal(select(a_1094,i24),e_1130),
    inference(mrr,[status(thm)],[3283,85]),
    [iquote('4:MRR:3283.0,85.0')] ).

cnf(3295,plain,
    ( equal(i26,i24)
    | equal(select(a_1093,i24),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3286,658]),
    [iquote('4:SpR:3286.0,658.1')] ).

cnf(3298,plain,
    equal(select(a_1093,i24),e_1130),
    inference(mrr,[status(thm)],[3295,86]),
    [iquote('4:MRR:3295.0,86.0')] ).

cnf(3307,plain,
    ( equal(i25,i24)
    | equal(select(a_1092,i24),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3298,678]),
    [iquote('4:SpR:3298.0,678.1')] ).

cnf(3310,plain,
    ( equal(i25,i24)
    | equal(e_1130,e24) ),
    inference(rew,[status(thm),theory(equality)],[574,3307]),
    [iquote('4:Rew:574.0,3307.1')] ).

cnf(3311,plain,
    $false,
    inference(mrr,[status(thm)],[3310,87,3191]),
    [iquote('4:MRR:3310.0,3310.1,87.0,3191.0')] ).

cnf(3314,plain,
    ~ equal(i_1129,i24),
    inference(spt,[spt(split,[position(s2s2s2sa)])],[3311,3159]),
    [iquote('4:Spt:3311.0,2278.0,3159.0')] ).

cnf(3315,plain,
    equal(select(a_1125,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2)])],[2278]),
    [iquote('4:Spt:3311.0,2278.1')] ).

cnf(3321,plain,
    ( equal(i_1129,i23)
    | equal(select(a_1124,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3315,641]),
    [iquote('4:SpR:3315.0,641.1')] ).

cnf(3403,plain,
    equal(i_1129,i29),
    inference(spt,[spt(split,[position(s2s2s2s2s1)])],[3108]),
    [iquote('5:Spt:3108.0')] ).

cnf(3414,plain,
    equal(select(a_1097,i29),e_1130),
    inference(rew,[status(thm),theory(equality)],[3403,3102]),
    [iquote('5:Rew:3403.0,3102.0')] ).

cnf(3436,plain,
    ( equal(i29,i23)
    | equal(select(a_1124,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[3403,3321]),
    [iquote('5:Rew:3403.0,3321.0')] ).

cnf(3440,plain,
    equal(e_1130,e29),
    inference(rew,[status(thm),theory(equality)],[596,3414]),
    [iquote('5:Rew:596.0,3414.0')] ).

cnf(3441,plain,
    ~ equal(e_1131,e29),
    inference(rew,[status(thm),theory(equality)],[3440,502]),
    [iquote('5:Rew:3440.0,502.0')] ).

cnf(3458,plain,
    ( equal(i29,i23)
    | equal(select(a_1124,i29),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[3403,3436]),
    [iquote('5:Rew:3403.0,3436.1')] ).

cnf(3459,plain,
    equal(select(a_1124,i29),e_1131),
    inference(mrr,[status(thm)],[3458,89]),
    [iquote('5:MRR:3458.0,89.0')] ).

cnf(3537,plain,
    ( equal(i29,i17)
    | equal(select(a_1123,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3459,643]),
    [iquote('5:SpR:3459.0,643.1')] ).

cnf(3540,plain,
    equal(select(a_1123,i29),e_1131),
    inference(mrr,[status(thm)],[3537,146]),
    [iquote('5:MRR:3537.0,146.0')] ).

cnf(3549,plain,
    ( equal(i29,i28)
    | equal(select(a_1122,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3540,645]),
    [iquote('5:SpR:3540.0,645.1')] ).

cnf(3552,plain,
    equal(select(a_1122,i29),e_1131),
    inference(mrr,[status(thm)],[3549,69]),
    [iquote('5:MRR:3549.0,69.0')] ).

cnf(3561,plain,
    ( equal(i29,i16)
    | equal(select(a_1121,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3552,647]),
    [iquote('5:SpR:3552.0,647.1')] ).

cnf(3564,plain,
    equal(select(a_1121,i29),e_1131),
    inference(mrr,[status(thm)],[3561,159]),
    [iquote('5:MRR:3561.0,159.0')] ).

cnf(3573,plain,
    ( equal(i29,i12)
    | equal(select(a_1120,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3564,649]),
    [iquote('5:SpR:3564.0,649.1')] ).

cnf(3576,plain,
    equal(select(a_1120,i29),e_1131),
    inference(mrr,[status(thm)],[3573,221]),
    [iquote('5:MRR:3573.0,221.0')] ).

cnf(3605,plain,
    ( equal(i29,i3)
    | equal(select(a_1119,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3576,651]),
    [iquote('5:SpR:3576.0,651.1')] ).

cnf(3608,plain,
    equal(select(a_1119,i29),e_1131),
    inference(mrr,[status(thm)],[3605,419]),
    [iquote('5:MRR:3605.0,419.0')] ).

cnf(3617,plain,
    ( equal(i29,i27)
    | equal(select(a_1118,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3608,653]),
    [iquote('5:SpR:3608.0,653.1')] ).

cnf(3620,plain,
    equal(select(a_1118,i29),e_1131),
    inference(mrr,[status(thm)],[3617,71]),
    [iquote('5:MRR:3617.0,71.0')] ).

cnf(3629,plain,
    ( equal(i29,i22)
    | equal(select(a_1117,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3620,655]),
    [iquote('5:SpR:3620.0,655.1')] ).

cnf(3632,plain,
    equal(select(a_1117,i29),e_1131),
    inference(mrr,[status(thm)],[3629,96]),
    [iquote('5:MRR:3629.0,96.0')] ).

cnf(3641,plain,
    ( equal(i29,i26)
    | equal(select(a_1116,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3632,657]),
    [iquote('5:SpR:3632.0,657.1')] ).

cnf(3644,plain,
    equal(select(a_1116,i29),e_1131),
    inference(mrr,[status(thm)],[3641,74]),
    [iquote('5:MRR:3641.0,74.0')] ).

cnf(3673,plain,
    ( equal(i29,i5)
    | equal(select(a_1115,i29),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[3644,659]),
    [iquote('5:SpR:3644.0,659.1')] ).

cnf(3676,plain,
    ( equal(i29,i5)
    | equal(e_1131,e29) ),
    inference(rew,[status(thm),theory(equality)],[595,3673]),
    [iquote('5:Rew:595.0,3673.1')] ).

cnf(3677,plain,
    $false,
    inference(mrr,[status(thm)],[3676,368,3441]),
    [iquote('5:MRR:3676.0,3676.1,368.0,3441.0')] ).

cnf(3680,plain,
    ~ equal(i_1129,i29),
    inference(spt,[spt(split,[position(s2s2s2s2sa)])],[3677,3403]),
    [iquote('5:Spt:3677.0,3108.0,3403.0')] ).

cnf(3681,plain,
    equal(select(a_1096,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2)])],[3108]),
    [iquote('5:Spt:3677.0,3108.1')] ).

cnf(3687,plain,
    ( equal(i_1129,i28)
    | equal(select(a_1095,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3681,646]),
    [iquote('5:SpR:3681.0,646.1')] ).

cnf(3780,plain,
    equal(i_1129,i23),
    inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[3321]),
    [iquote('6:Spt:3321.0')] ).

cnf(3793,plain,
    equal(select(a_1125,i23),e_1131),
    inference(rew,[status(thm),theory(equality)],[3780,3315]),
    [iquote('6:Rew:3780.0,3315.0')] ).

cnf(3819,plain,
    ( equal(i28,i23)
    | equal(select(a_1095,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[3780,3687]),
    [iquote('6:Rew:3780.0,3687.0')] ).

cnf(3823,plain,
    equal(e_1131,e23),
    inference(rew,[status(thm),theory(equality)],[575,3793]),
    [iquote('6:Rew:575.0,3793.0')] ).

cnf(3824,plain,
    ~ equal(e_1130,e23),
    inference(rew,[status(thm),theory(equality)],[3823,502]),
    [iquote('6:Rew:3823.0,502.0')] ).

cnf(3843,plain,
    ( equal(i28,i23)
    | equal(select(a_1095,i23),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[3780,3819]),
    [iquote('6:Rew:3780.0,3819.1')] ).

cnf(3844,plain,
    equal(select(a_1095,i23),e_1130),
    inference(mrr,[status(thm)],[3843,90]),
    [iquote('6:MRR:3843.0,90.0')] ).

cnf(3960,plain,
    ( equal(i27,i23)
    | equal(select(a_1094,i23),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3844,654]),
    [iquote('6:SpR:3844.0,654.1')] ).

cnf(3963,plain,
    equal(select(a_1094,i23),e_1130),
    inference(mrr,[status(thm)],[3960,91]),
    [iquote('6:MRR:3960.0,91.0')] ).

cnf(3972,plain,
    ( equal(i26,i23)
    | equal(select(a_1093,i23),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3963,658]),
    [iquote('6:SpR:3963.0,658.1')] ).

cnf(3975,plain,
    equal(select(a_1093,i23),e_1130),
    inference(mrr,[status(thm)],[3972,92]),
    [iquote('6:MRR:3972.0,92.0')] ).

cnf(3984,plain,
    ( equal(i25,i23)
    | equal(select(a_1092,i23),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3975,678]),
    [iquote('6:SpR:3975.0,678.1')] ).

cnf(3987,plain,
    equal(select(a_1092,i23),e_1130),
    inference(mrr,[status(thm)],[3984,93]),
    [iquote('6:MRR:3984.0,93.0')] ).

cnf(4016,plain,
    ( equal(i24,i23)
    | equal(select(a_1091,i23),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[3987,640]),
    [iquote('6:SpR:3987.0,640.1')] ).

cnf(4019,plain,
    ( equal(i24,i23)
    | equal(e_1130,e23) ),
    inference(rew,[status(thm),theory(equality)],[576,4016]),
    [iquote('6:Rew:576.0,4016.1')] ).

cnf(4020,plain,
    $false,
    inference(mrr,[status(thm)],[4019,94,3824]),
    [iquote('6:MRR:4019.0,4019.1,94.0,3824.0')] ).

cnf(4023,plain,
    ~ equal(i_1129,i23),
    inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[4020,3780]),
    [iquote('6:Spt:4020.0,3321.0,3780.0')] ).

cnf(4024,plain,
    equal(select(a_1124,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[3321]),
    [iquote('6:Spt:4020.0,3321.1')] ).

cnf(4030,plain,
    ( equal(i_1129,i17)
    | equal(select(a_1123,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[4024,643]),
    [iquote('6:SpR:4024.0,643.1')] ).

cnf(4134,plain,
    equal(i_1129,i28),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s1)])],[3687]),
    [iquote('7:Spt:3687.0')] ).

cnf(4149,plain,
    equal(select(a_1096,i28),e_1130),
    inference(rew,[status(thm),theory(equality)],[4134,3681]),
    [iquote('7:Rew:4134.0,3681.0')] ).

cnf(4179,plain,
    ( equal(i28,i17)
    | equal(select(a_1123,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[4134,4030]),
    [iquote('7:Rew:4134.0,4030.0')] ).

cnf(4183,plain,
    equal(e_1130,e28),
    inference(rew,[status(thm),theory(equality)],[580,4149]),
    [iquote('7:Rew:580.0,4149.0')] ).

cnf(4184,plain,
    ~ equal(e_1131,e28),
    inference(rew,[status(thm),theory(equality)],[4183,502]),
    [iquote('7:Rew:4183.0,502.0')] ).

cnf(4202,plain,
    ( equal(i28,i17)
    | equal(select(a_1123,i28),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[4134,4179]),
    [iquote('7:Rew:4134.0,4179.1')] ).

cnf(4203,plain,
    ( equal(i28,i17)
    | equal(e_1131,e28) ),
    inference(rew,[status(thm),theory(equality)],[579,4202]),
    [iquote('7:Rew:579.0,4202.1')] ).

cnf(4204,plain,
    equal(e_1131,e28),
    inference(mrr,[status(thm)],[4203,147]),
    [iquote('7:MRR:4203.0,147.0')] ).

cnf(4205,plain,
    $false,
    inference(mrr,[status(thm)],[4204,4184]),
    [iquote('7:MRR:4204.0,4184.0')] ).

cnf(4224,plain,
    ~ equal(i_1129,i28),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2sa)])],[4205,4134]),
    [iquote('7:Spt:4205.0,3687.0,4134.0')] ).

cnf(4225,plain,
    equal(select(a_1095,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2)])],[3687]),
    [iquote('7:Spt:4205.0,3687.1')] ).

cnf(4231,plain,
    ( equal(i_1129,i27)
    | equal(select(a_1094,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4225,654]),
    [iquote('7:SpR:4225.0,654.1')] ).

cnf(4346,plain,
    equal(i_1129,i17),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s1)])],[4030]),
    [iquote('8:Spt:4030.0')] ).

cnf(4363,plain,
    equal(select(a_1124,i17),e_1131),
    inference(rew,[status(thm),theory(equality)],[4346,4024]),
    [iquote('8:Rew:4346.0,4024.0')] ).

cnf(4397,plain,
    ( equal(i27,i17)
    | equal(select(a_1094,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[4346,4231]),
    [iquote('8:Rew:4346.0,4231.0')] ).

cnf(4401,plain,
    equal(e_1131,e17),
    inference(rew,[status(thm),theory(equality)],[577,4363]),
    [iquote('8:Rew:577.0,4363.0')] ).

cnf(4402,plain,
    ~ equal(e_1130,e17),
    inference(rew,[status(thm),theory(equality)],[4401,502]),
    [iquote('8:Rew:4401.0,502.0')] ).

cnf(4422,plain,
    ( equal(i27,i17)
    | equal(select(a_1094,i17),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[4346,4397]),
    [iquote('8:Rew:4346.0,4397.1')] ).

cnf(4423,plain,
    equal(select(a_1094,i17),e_1130),
    inference(mrr,[status(thm)],[4422,148]),
    [iquote('8:MRR:4422.0,148.0')] ).

cnf(4546,plain,
    ( equal(i26,i17)
    | equal(select(a_1093,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4423,658]),
    [iquote('8:SpR:4423.0,658.1')] ).

cnf(4549,plain,
    equal(select(a_1093,i17),e_1130),
    inference(mrr,[status(thm)],[4546,149]),
    [iquote('8:MRR:4546.0,149.0')] ).

cnf(4578,plain,
    ( equal(i25,i17)
    | equal(select(a_1092,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4549,678]),
    [iquote('8:SpR:4549.0,678.1')] ).

cnf(4581,plain,
    equal(select(a_1092,i17),e_1130),
    inference(mrr,[status(thm)],[4578,150]),
    [iquote('8:MRR:4578.0,150.0')] ).

cnf(4590,plain,
    ( equal(i24,i17)
    | equal(select(a_1091,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4581,640]),
    [iquote('8:SpR:4581.0,640.1')] ).

cnf(4593,plain,
    equal(select(a_1091,i17),e_1130),
    inference(mrr,[status(thm)],[4590,151]),
    [iquote('8:MRR:4590.0,151.0')] ).

cnf(4602,plain,
    ( equal(i23,i17)
    | equal(select(a_1090,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4593,642]),
    [iquote('8:SpR:4593.0,642.1')] ).

cnf(4605,plain,
    equal(select(a_1090,i17),e_1130),
    inference(mrr,[status(thm)],[4602,152]),
    [iquote('8:MRR:4602.0,152.0')] ).

cnf(4614,plain,
    ( equal(i22,i17)
    | equal(select(a_1089,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4605,656]),
    [iquote('8:SpR:4605.0,656.1')] ).

cnf(4617,plain,
    equal(select(a_1089,i17),e_1130),
    inference(mrr,[status(thm)],[4614,153]),
    [iquote('8:MRR:4614.0,153.0')] ).

cnf(4646,plain,
    ( equal(i21,i17)
    | equal(select(a_1088,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4617,670]),
    [iquote('8:SpR:4617.0,670.1')] ).

cnf(4649,plain,
    equal(select(a_1088,i17),e_1130),
    inference(mrr,[status(thm)],[4646,154]),
    [iquote('8:MRR:4646.0,154.0')] ).

cnf(4658,plain,
    ( equal(i20,i17)
    | equal(select(a_1087,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4649,674]),
    [iquote('8:SpR:4649.0,674.1')] ).

cnf(4661,plain,
    equal(select(a_1087,i17),e_1130),
    inference(mrr,[status(thm)],[4658,155]),
    [iquote('8:MRR:4658.0,155.0')] ).

cnf(4670,plain,
    ( equal(i19,i17)
    | equal(select(a_1086,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4661,690]),
    [iquote('8:SpR:4661.0,690.1')] ).

cnf(4673,plain,
    equal(select(a_1086,i17),e_1130),
    inference(mrr,[status(thm)],[4670,156]),
    [iquote('8:MRR:4670.0,156.0')] ).

cnf(4682,plain,
    ( equal(i18,i17)
    | equal(select(a_1085,i17),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[4673,676]),
    [iquote('8:SpR:4673.0,676.1')] ).

cnf(4685,plain,
    ( equal(i18,i17)
    | equal(e_1130,e17) ),
    inference(rew,[status(thm),theory(equality)],[578,4682]),
    [iquote('8:Rew:578.0,4682.1')] ).

cnf(4686,plain,
    $false,
    inference(mrr,[status(thm)],[4685,157,4402]),
    [iquote('8:MRR:4685.0,4685.1,157.0,4402.0')] ).

cnf(4689,plain,
    ~ equal(i_1129,i17),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2sa)])],[4686,4346]),
    [iquote('8:Spt:4686.0,4030.0,4346.0')] ).

cnf(4690,plain,
    equal(select(a_1123,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2)])],[4030]),
    [iquote('8:Spt:4686.0,4030.1')] ).

cnf(4696,plain,
    ( equal(i_1129,i28)
    | equal(select(a_1122,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[4690,645]),
    [iquote('8:SpR:4690.0,645.1')] ).

cnf(4700,plain,
    equal(select(a_1122,i_1129),e_1131),
    inference(mrr,[status(thm)],[4696,4224]),
    [iquote('8:MRR:4696.0,4224.0')] ).

cnf(4848,plain,
    ( equal(i_1129,i16)
    | equal(select(a_1121,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[4700,647]),
    [iquote('8:SpR:4700.0,647.1')] ).

cnf(4854,plain,
    equal(i_1129,i27),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s1)])],[4231]),
    [iquote('9:Spt:4231.0')] ).

cnf(4873,plain,
    equal(select(a_1095,i27),e_1130),
    inference(rew,[status(thm),theory(equality)],[4854,4225]),
    [iquote('9:Rew:4854.0,4225.0')] ).

cnf(4916,plain,
    ( equal(i27,i16)
    | equal(select(a_1121,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[4854,4848]),
    [iquote('9:Rew:4854.0,4848.0')] ).

cnf(4920,plain,
    equal(e_1130,e27),
    inference(rew,[status(thm),theory(equality)],[588,4873]),
    [iquote('9:Rew:588.0,4873.0')] ).

cnf(4921,plain,
    ~ equal(e_1131,e27),
    inference(rew,[status(thm),theory(equality)],[4920,502]),
    [iquote('9:Rew:4920.0,502.0')] ).

cnf(4945,plain,
    ( equal(i27,i16)
    | equal(select(a_1121,i27),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[4854,4916]),
    [iquote('9:Rew:4854.0,4916.1')] ).

cnf(4946,plain,
    equal(select(a_1121,i27),e_1131),
    inference(mrr,[status(thm)],[4945,161]),
    [iquote('9:MRR:4945.0,161.0')] ).

cnf(5111,plain,
    ( equal(i27,i12)
    | equal(select(a_1120,i27),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[4946,649]),
    [iquote('9:SpR:4946.0,649.1')] ).

cnf(5114,plain,
    equal(select(a_1120,i27),e_1131),
    inference(mrr,[status(thm)],[5111,223]),
    [iquote('9:MRR:5111.0,223.0')] ).

cnf(5123,plain,
    ( equal(i27,i3)
    | equal(select(a_1119,i27),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[5114,651]),
    [iquote('9:SpR:5114.0,651.1')] ).

cnf(5126,plain,
    ( equal(i27,i3)
    | equal(e_1131,e27) ),
    inference(rew,[status(thm),theory(equality)],[587,5123]),
    [iquote('9:Rew:587.0,5123.1')] ).

cnf(5127,plain,
    $false,
    inference(mrr,[status(thm)],[5126,421,4921]),
    [iquote('9:MRR:5126.0,5126.1,421.0,4921.0')] ).

cnf(5130,plain,
    ~ equal(i_1129,i27),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2sa)])],[5127,4854]),
    [iquote('9:Spt:5127.0,4231.0,4854.0')] ).

cnf(5131,plain,
    equal(select(a_1094,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2)])],[4231]),
    [iquote('9:Spt:5127.0,4231.1')] ).

cnf(5137,plain,
    ( equal(i_1129,i26)
    | equal(select(a_1093,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5131,658]),
    [iquote('9:SpR:5131.0,658.1')] ).

cnf(5285,plain,
    equal(i_1129,i16),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s1)])],[4848]),
    [iquote('10:Spt:4848.0')] ).

cnf(5296,plain,
    equal(select(a_1122,i16),e_1131),
    inference(rew,[status(thm),theory(equality)],[5285,4700]),
    [iquote('10:Rew:5285.0,4700.0')] ).

cnf(5353,plain,
    ( equal(i26,i16)
    | equal(select(a_1093,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[5285,5137]),
    [iquote('10:Rew:5285.0,5137.0')] ).

cnf(5357,plain,
    equal(e_1131,e16),
    inference(rew,[status(thm),theory(equality)],[581,5296]),
    [iquote('10:Rew:581.0,5296.0')] ).

cnf(5358,plain,
    ~ equal(e_1130,e16),
    inference(rew,[status(thm),theory(equality)],[5357,502]),
    [iquote('10:Rew:5357.0,502.0')] ).

cnf(5385,plain,
    ( equal(i26,i16)
    | equal(select(a_1093,i16),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[5285,5353]),
    [iquote('10:Rew:5285.0,5353.1')] ).

cnf(5386,plain,
    equal(select(a_1093,i16),e_1130),
    inference(mrr,[status(thm)],[5385,162]),
    [iquote('10:MRR:5385.0,162.0')] ).

cnf(5572,plain,
    ( equal(i25,i16)
    | equal(select(a_1092,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5386,678]),
    [iquote('10:SpR:5386.0,678.1')] ).

cnf(5575,plain,
    equal(select(a_1092,i16),e_1130),
    inference(mrr,[status(thm)],[5572,163]),
    [iquote('10:MRR:5572.0,163.0')] ).

cnf(5584,plain,
    ( equal(i24,i16)
    | equal(select(a_1091,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5575,640]),
    [iquote('10:SpR:5575.0,640.1')] ).

cnf(5587,plain,
    equal(select(a_1091,i16),e_1130),
    inference(mrr,[status(thm)],[5584,164]),
    [iquote('10:MRR:5584.0,164.0')] ).

cnf(5616,plain,
    ( equal(i23,i16)
    | equal(select(a_1090,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5587,642]),
    [iquote('10:SpR:5587.0,642.1')] ).

cnf(5619,plain,
    equal(select(a_1090,i16),e_1130),
    inference(mrr,[status(thm)],[5616,165]),
    [iquote('10:MRR:5616.0,165.0')] ).

cnf(5628,plain,
    ( equal(i22,i16)
    | equal(select(a_1089,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5619,656]),
    [iquote('10:SpR:5619.0,656.1')] ).

cnf(5631,plain,
    equal(select(a_1089,i16),e_1130),
    inference(mrr,[status(thm)],[5628,166]),
    [iquote('10:MRR:5628.0,166.0')] ).

cnf(5640,plain,
    ( equal(i21,i16)
    | equal(select(a_1088,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5631,670]),
    [iquote('10:SpR:5631.0,670.1')] ).

cnf(5643,plain,
    equal(select(a_1088,i16),e_1130),
    inference(mrr,[status(thm)],[5640,167]),
    [iquote('10:MRR:5640.0,167.0')] ).

cnf(5652,plain,
    ( equal(i20,i16)
    | equal(select(a_1087,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5643,674]),
    [iquote('10:SpR:5643.0,674.1')] ).

cnf(5655,plain,
    equal(select(a_1087,i16),e_1130),
    inference(mrr,[status(thm)],[5652,168]),
    [iquote('10:MRR:5652.0,168.0')] ).

cnf(5674,plain,
    ( equal(i19,i16)
    | equal(select(a_1086,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5655,690]),
    [iquote('10:SpR:5655.0,690.1')] ).

cnf(5677,plain,
    equal(select(a_1086,i16),e_1130),
    inference(mrr,[status(thm)],[5674,169]),
    [iquote('10:MRR:5674.0,169.0')] ).

cnf(5686,plain,
    ( equal(i18,i16)
    | equal(select(a_1085,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5677,676]),
    [iquote('10:SpR:5677.0,676.1')] ).

cnf(5689,plain,
    equal(select(a_1085,i16),e_1130),
    inference(mrr,[status(thm)],[5686,170]),
    [iquote('10:MRR:5686.0,170.0')] ).

cnf(5698,plain,
    ( equal(i17,i16)
    | equal(select(a_1084,i16),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[5689,644]),
    [iquote('10:SpR:5689.0,644.1')] ).

cnf(5701,plain,
    ( equal(i17,i16)
    | equal(e_1130,e16) ),
    inference(rew,[status(thm),theory(equality)],[582,5698]),
    [iquote('10:Rew:582.0,5698.1')] ).

cnf(5702,plain,
    $false,
    inference(mrr,[status(thm)],[5701,171,5358]),
    [iquote('10:MRR:5701.0,5701.1,171.0,5358.0')] ).

cnf(5705,plain,
    ~ equal(i_1129,i16),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2sa)])],[5702,5285]),
    [iquote('10:Spt:5702.0,4848.0,5285.0')] ).

cnf(5706,plain,
    equal(select(a_1121,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2)])],[4848]),
    [iquote('10:Spt:5702.0,4848.1')] ).

cnf(5712,plain,
    ( equal(i_1129,i12)
    | equal(select(a_1120,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[5706,649]),
    [iquote('10:SpR:5706.0,649.1')] ).

cnf(5851,plain,
    equal(i_1129,i26),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s1)])],[5137]),
    [iquote('11:Spt:5137.0')] ).

cnf(5875,plain,
    equal(select(a_1094,i26),e_1130),
    inference(rew,[status(thm),theory(equality)],[5851,5131]),
    [iquote('11:Rew:5851.0,5131.0')] ).

cnf(5925,plain,
    ( equal(i26,i12)
    | equal(select(a_1120,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[5851,5712]),
    [iquote('11:Rew:5851.0,5712.0')] ).

cnf(5929,plain,
    equal(e_1130,e26),
    inference(rew,[status(thm),theory(equality)],[592,5875]),
    [iquote('11:Rew:592.0,5875.0')] ).

cnf(5930,plain,
    ~ equal(e_1131,e26),
    inference(rew,[status(thm),theory(equality)],[5929,502]),
    [iquote('11:Rew:5929.0,502.0')] ).

cnf(5955,plain,
    ( equal(i26,i12)
    | equal(select(a_1120,i26),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[5851,5925]),
    [iquote('11:Rew:5851.0,5925.1')] ).

cnf(5956,plain,
    equal(select(a_1120,i26),e_1131),
    inference(mrr,[status(thm)],[5955,224]),
    [iquote('11:MRR:5955.0,224.0')] ).

cnf(6128,plain,
    ( equal(i26,i3)
    | equal(select(a_1119,i26),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[5956,651]),
    [iquote('11:SpR:5956.0,651.1')] ).

cnf(6131,plain,
    equal(select(a_1119,i26),e_1131),
    inference(mrr,[status(thm)],[6128,422]),
    [iquote('11:MRR:6128.0,422.0')] ).

cnf(6160,plain,
    ( equal(i27,i26)
    | equal(select(a_1118,i26),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[6131,653]),
    [iquote('11:SpR:6131.0,653.1')] ).

cnf(6163,plain,
    equal(select(a_1118,i26),e_1131),
    inference(mrr,[status(thm)],[6160,76]),
    [iquote('11:MRR:6160.0,76.0')] ).

cnf(6172,plain,
    ( equal(i26,i22)
    | equal(select(a_1117,i26),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[6163,655]),
    [iquote('11:SpR:6163.0,655.1')] ).

cnf(6175,plain,
    ( equal(i26,i22)
    | equal(e_1131,e26) ),
    inference(rew,[status(thm),theory(equality)],[591,6172]),
    [iquote('11:Rew:591.0,6172.1')] ).

cnf(6176,plain,
    $false,
    inference(mrr,[status(thm)],[6175,99,5930]),
    [iquote('11:MRR:6175.0,6175.1,99.0,5930.0')] ).

cnf(6179,plain,
    ~ equal(i_1129,i26),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2sa)])],[6176,5851]),
    [iquote('11:Spt:6176.0,5137.0,5851.0')] ).

cnf(6180,plain,
    equal(select(a_1093,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2)])],[5137]),
    [iquote('11:Spt:6176.0,5137.1')] ).

cnf(6186,plain,
    ( equal(i_1129,i25)
    | equal(select(a_1092,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6180,678]),
    [iquote('11:SpR:6180.0,678.1')] ).

cnf(6336,plain,
    equal(i_1129,i12),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s1)])],[5712]),
    [iquote('12:Spt:5712.0')] ).

cnf(6362,plain,
    equal(select(a_1121,i12),e_1131),
    inference(rew,[status(thm),theory(equality)],[6336,5706]),
    [iquote('12:Rew:6336.0,5706.0')] ).

cnf(6416,plain,
    ( equal(i25,i12)
    | equal(select(a_1092,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[6336,6186]),
    [iquote('12:Rew:6336.0,6186.0')] ).

cnf(6420,plain,
    equal(e_1131,e12),
    inference(rew,[status(thm),theory(equality)],[583,6362]),
    [iquote('12:Rew:583.0,6362.0')] ).

cnf(6421,plain,
    ~ equal(e_1130,e12),
    inference(rew,[status(thm),theory(equality)],[6420,502]),
    [iquote('12:Rew:6420.0,502.0')] ).

cnf(6449,plain,
    ( equal(i25,i12)
    | equal(select(a_1092,i12),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[6336,6416]),
    [iquote('12:Rew:6336.0,6416.1')] ).

cnf(6450,plain,
    equal(select(a_1092,i12),e_1130),
    inference(mrr,[status(thm)],[6449,225]),
    [iquote('12:MRR:6449.0,225.0')] ).

cnf(6663,plain,
    ( equal(i24,i12)
    | equal(select(a_1091,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6450,640]),
    [iquote('12:SpR:6450.0,640.1')] ).

cnf(6666,plain,
    equal(select(a_1091,i12),e_1130),
    inference(mrr,[status(thm)],[6663,226]),
    [iquote('12:MRR:6663.0,226.0')] ).

cnf(6675,plain,
    ( equal(i23,i12)
    | equal(select(a_1090,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6666,642]),
    [iquote('12:SpR:6666.0,642.1')] ).

cnf(6678,plain,
    equal(select(a_1090,i12),e_1130),
    inference(mrr,[status(thm)],[6675,227]),
    [iquote('12:MRR:6675.0,227.0')] ).

cnf(6687,plain,
    ( equal(i22,i12)
    | equal(select(a_1089,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6678,656]),
    [iquote('12:SpR:6678.0,656.1')] ).

cnf(6690,plain,
    equal(select(a_1089,i12),e_1130),
    inference(mrr,[status(thm)],[6687,228]),
    [iquote('12:MRR:6687.0,228.0')] ).

cnf(6719,plain,
    ( equal(i21,i12)
    | equal(select(a_1088,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6690,670]),
    [iquote('12:SpR:6690.0,670.1')] ).

cnf(6722,plain,
    equal(select(a_1088,i12),e_1130),
    inference(mrr,[status(thm)],[6719,229]),
    [iquote('12:MRR:6719.0,229.0')] ).

cnf(6731,plain,
    ( equal(i20,i12)
    | equal(select(a_1087,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6722,674]),
    [iquote('12:SpR:6722.0,674.1')] ).

cnf(6734,plain,
    equal(select(a_1087,i12),e_1130),
    inference(mrr,[status(thm)],[6731,230]),
    [iquote('12:MRR:6731.0,230.0')] ).

cnf(6743,plain,
    ( equal(i19,i12)
    | equal(select(a_1086,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6734,690]),
    [iquote('12:SpR:6734.0,690.1')] ).

cnf(6746,plain,
    equal(select(a_1086,i12),e_1130),
    inference(mrr,[status(thm)],[6743,231]),
    [iquote('12:MRR:6743.0,231.0')] ).

cnf(6755,plain,
    ( equal(i18,i12)
    | equal(select(a_1085,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6746,676]),
    [iquote('12:SpR:6746.0,676.1')] ).

cnf(6758,plain,
    equal(select(a_1085,i12),e_1130),
    inference(mrr,[status(thm)],[6755,232]),
    [iquote('12:MRR:6755.0,232.0')] ).

cnf(6777,plain,
    ( equal(i17,i12)
    | equal(select(a_1084,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6758,644]),
    [iquote('12:SpR:6758.0,644.1')] ).

cnf(6780,plain,
    equal(select(a_1084,i12),e_1130),
    inference(mrr,[status(thm)],[6777,233]),
    [iquote('12:MRR:6777.0,233.0')] ).

cnf(6789,plain,
    ( equal(i16,i12)
    | equal(select(a_1083,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6780,648]),
    [iquote('12:SpR:6780.0,648.1')] ).

cnf(6792,plain,
    equal(select(a_1083,i12),e_1130),
    inference(mrr,[status(thm)],[6789,234]),
    [iquote('12:MRR:6789.0,234.0')] ).

cnf(6801,plain,
    ( equal(i15,i12)
    | equal(select(a_1082,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6792,680]),
    [iquote('12:SpR:6792.0,680.1')] ).

cnf(6804,plain,
    equal(select(a_1082,i12),e_1130),
    inference(mrr,[status(thm)],[6801,235]),
    [iquote('12:MRR:6801.0,235.0')] ).

cnf(6813,plain,
    ( equal(i14,i12)
    | equal(select(a_1081,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6804,664]),
    [iquote('12:SpR:6804.0,664.1')] ).

cnf(6816,plain,
    equal(select(a_1081,i12),e_1130),
    inference(mrr,[status(thm)],[6813,236]),
    [iquote('12:MRR:6813.0,236.0')] ).

cnf(6835,plain,
    ( equal(i13,i12)
    | equal(select(a_1080,i12),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[6816,694]),
    [iquote('12:SpR:6816.0,694.1')] ).

cnf(6838,plain,
    ( equal(i13,i12)
    | equal(e_1130,e12) ),
    inference(rew,[status(thm),theory(equality)],[584,6835]),
    [iquote('12:Rew:584.0,6835.1')] ).

cnf(6839,plain,
    $false,
    inference(mrr,[status(thm)],[6838,237,6421]),
    [iquote('12:MRR:6838.0,6838.1,237.0,6421.0')] ).

cnf(6842,plain,
    ~ equal(i_1129,i12),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2sa)])],[6839,6336]),
    [iquote('12:Spt:6839.0,5712.0,6336.0')] ).

cnf(6843,plain,
    equal(select(a_1120,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2)])],[5712]),
    [iquote('12:Spt:6839.0,5712.1')] ).

cnf(6849,plain,
    ( equal(i_1129,i3)
    | equal(select(a_1119,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[6843,651]),
    [iquote('12:SpR:6843.0,651.1')] ).

cnf(7030,plain,
    equal(i_1129,i25),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[6186]),
    [iquote('13:Spt:6186.0')] ).

cnf(7058,plain,
    equal(select(a_1093,i25),e_1130),
    inference(rew,[status(thm),theory(equality)],[7030,6180]),
    [iquote('13:Rew:7030.0,6180.0')] ).

cnf(7116,plain,
    ( equal(i25,i3)
    | equal(select(a_1119,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[7030,6849]),
    [iquote('13:Rew:7030.0,6849.0')] ).

cnf(7120,plain,
    equal(e_1130,e25),
    inference(rew,[status(thm),theory(equality)],[612,7058]),
    [iquote('13:Rew:612.0,7058.0')] ).

cnf(7121,plain,
    ~ equal(e_1131,e25),
    inference(rew,[status(thm),theory(equality)],[7120,502]),
    [iquote('13:Rew:7120.0,502.0')] ).

cnf(7147,plain,
    ( equal(i25,i3)
    | equal(select(a_1119,i25),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[7030,7116]),
    [iquote('13:Rew:7030.0,7116.1')] ).

cnf(7148,plain,
    equal(select(a_1119,i25),e_1131),
    inference(mrr,[status(thm)],[7147,423]),
    [iquote('13:MRR:7147.0,423.0')] ).

cnf(7347,plain,
    ( equal(i27,i25)
    | equal(select(a_1118,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7148,653]),
    [iquote('13:SpR:7148.0,653.1')] ).

cnf(7350,plain,
    equal(select(a_1118,i25),e_1131),
    inference(mrr,[status(thm)],[7347,80]),
    [iquote('13:MRR:7347.0,80.0')] ).

cnf(7379,plain,
    ( equal(i25,i22)
    | equal(select(a_1117,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7350,655]),
    [iquote('13:SpR:7350.0,655.1')] ).

cnf(7382,plain,
    equal(select(a_1117,i25),e_1131),
    inference(mrr,[status(thm)],[7379,100]),
    [iquote('13:MRR:7379.0,100.0')] ).

cnf(7391,plain,
    ( equal(i26,i25)
    | equal(select(a_1116,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7382,657]),
    [iquote('13:SpR:7382.0,657.1')] ).

cnf(7394,plain,
    equal(select(a_1116,i25),e_1131),
    inference(mrr,[status(thm)],[7391,81]),
    [iquote('13:MRR:7391.0,81.0')] ).

cnf(7403,plain,
    ( equal(i25,i5)
    | equal(select(a_1115,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7394,659]),
    [iquote('13:SpR:7394.0,659.1')] ).

cnf(7406,plain,
    equal(select(a_1115,i25),e_1131),
    inference(mrr,[status(thm)],[7403,372]),
    [iquote('13:MRR:7403.0,372.0')] ).

cnf(7415,plain,
    ( equal(i29,i25)
    | equal(select(a_1114,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7406,661]),
    [iquote('13:SpR:7406.0,661.1')] ).

cnf(7418,plain,
    equal(select(a_1114,i25),e_1131),
    inference(mrr,[status(thm)],[7415,78]),
    [iquote('13:MRR:7415.0,78.0')] ).

cnf(7447,plain,
    ( equal(i25,i14)
    | equal(select(a_1113,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7418,663]),
    [iquote('13:SpR:7418.0,663.1')] ).

cnf(7450,plain,
    equal(select(a_1113,i25),e_1131),
    inference(mrr,[status(thm)],[7447,192]),
    [iquote('13:MRR:7447.0,192.0')] ).

cnf(7459,plain,
    ( equal(i25,i11)
    | equal(select(a_1112,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7450,665]),
    [iquote('13:SpR:7450.0,665.1')] ).

cnf(7462,plain,
    equal(select(a_1112,i25),e_1131),
    inference(mrr,[status(thm)],[7459,243]),
    [iquote('13:MRR:7459.0,243.0')] ).

cnf(7471,plain,
    ( equal(i25,i6)
    | equal(select(a_1111,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7462,667]),
    [iquote('13:SpR:7462.0,667.1')] ).

cnf(7474,plain,
    equal(select(a_1111,i25),e_1131),
    inference(mrr,[status(thm)],[7471,348]),
    [iquote('13:MRR:7471.0,348.0')] ).

cnf(7483,plain,
    ( equal(i25,i21)
    | equal(select(a_1110,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7474,669]),
    [iquote('13:SpR:7474.0,669.1')] ).

cnf(7486,plain,
    equal(select(a_1110,i25),e_1131),
    inference(mrr,[status(thm)],[7483,108]),
    [iquote('13:MRR:7483.0,108.0')] ).

cnf(7505,plain,
    ( equal(i25,i8)
    | equal(select(a_1109,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7486,671]),
    [iquote('13:SpR:7486.0,671.1')] ).

cnf(7508,plain,
    equal(select(a_1109,i25),e_1131),
    inference(mrr,[status(thm)],[7505,303]),
    [iquote('13:MRR:7505.0,303.0')] ).

cnf(7517,plain,
    ( equal(i25,i20)
    | equal(select(a_1108,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7508,673]),
    [iquote('13:SpR:7508.0,673.1')] ).

cnf(7520,plain,
    equal(select(a_1108,i25),e_1131),
    inference(mrr,[status(thm)],[7517,117]),
    [iquote('13:MRR:7517.0,117.0')] ).

cnf(7529,plain,
    ( equal(i25,i18)
    | equal(select(a_1107,i25),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[7520,675]),
    [iquote('13:SpR:7520.0,675.1')] ).

cnf(7532,plain,
    ( equal(i25,i18)
    | equal(e_1131,e25) ),
    inference(rew,[status(thm),theory(equality)],[611,7529]),
    [iquote('13:Rew:611.0,7529.1')] ).

cnf(7533,plain,
    $false,
    inference(mrr,[status(thm)],[7532,138,7121]),
    [iquote('13:MRR:7532.0,7532.1,138.0,7121.0')] ).

cnf(7536,plain,
    ~ equal(i_1129,i25),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[7533,7030]),
    [iquote('13:Spt:7533.0,6186.0,7030.0')] ).

cnf(7537,plain,
    equal(select(a_1092,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[6186]),
    [iquote('13:Spt:7533.0,6186.1')] ).

cnf(7543,plain,
    ( equal(i_1129,i24)
    | equal(select(a_1091,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[7537,640]),
    [iquote('13:SpR:7537.0,640.1')] ).

cnf(7547,plain,
    equal(select(a_1091,i_1129),e_1130),
    inference(mrr,[status(thm)],[7543,3314]),
    [iquote('13:MRR:7543.0,3314.0')] ).

cnf(7721,plain,
    ( equal(i_1129,i23)
    | equal(select(a_1090,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[7547,642]),
    [iquote('13:SpR:7547.0,642.1')] ).

cnf(7725,plain,
    equal(select(a_1090,i_1129),e_1130),
    inference(mrr,[status(thm)],[7721,4023]),
    [iquote('13:MRR:7721.0,4023.0')] ).

cnf(7753,plain,
    ( equal(i_1129,i22)
    | equal(select(a_1089,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[7725,656]),
    [iquote('13:SpR:7725.0,656.1')] ).

cnf(7759,plain,
    equal(i_1129,i3),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[6849]),
    [iquote('14:Spt:6849.0')] ).

cnf(7789,plain,
    equal(select(a_1120,i3),e_1131),
    inference(rew,[status(thm),theory(equality)],[7759,6843]),
    [iquote('14:Rew:7759.0,6843.0')] ).

cnf(7861,plain,
    ( equal(i22,i3)
    | equal(select(a_1089,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[7759,7753]),
    [iquote('14:Rew:7759.0,7753.0')] ).

cnf(7865,plain,
    equal(e_1131,e3),
    inference(rew,[status(thm),theory(equality)],[585,7789]),
    [iquote('14:Rew:585.0,7789.0')] ).

cnf(7866,plain,
    ~ equal(e_1130,e3),
    inference(rew,[status(thm),theory(equality)],[7865,502]),
    [iquote('14:Rew:7865.0,502.0')] ).

cnf(7895,plain,
    ( equal(i22,i3)
    | equal(select(a_1089,i3),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[7759,7861]),
    [iquote('14:Rew:7759.0,7861.1')] ).

cnf(7896,plain,
    equal(select(a_1089,i3),e_1130),
    inference(mrr,[status(thm)],[7895,426]),
    [iquote('14:MRR:7895.0,426.0')] ).

cnf(8160,plain,
    ( equal(i21,i3)
    | equal(select(a_1088,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[7896,670]),
    [iquote('14:SpR:7896.0,670.1')] ).

cnf(8163,plain,
    equal(select(a_1088,i3),e_1130),
    inference(mrr,[status(thm)],[8160,427]),
    [iquote('14:MRR:8160.0,427.0')] ).

cnf(8192,plain,
    ( equal(i20,i3)
    | equal(select(a_1087,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8163,674]),
    [iquote('14:SpR:8163.0,674.1')] ).

cnf(8195,plain,
    equal(select(a_1087,i3),e_1130),
    inference(mrr,[status(thm)],[8192,428]),
    [iquote('14:MRR:8192.0,428.0')] ).

cnf(8204,plain,
    ( equal(i19,i3)
    | equal(select(a_1086,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8195,690]),
    [iquote('14:SpR:8195.0,690.1')] ).

cnf(8207,plain,
    equal(select(a_1086,i3),e_1130),
    inference(mrr,[status(thm)],[8204,429]),
    [iquote('14:MRR:8204.0,429.0')] ).

cnf(8216,plain,
    ( equal(i18,i3)
    | equal(select(a_1085,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8207,676]),
    [iquote('14:SpR:8207.0,676.1')] ).

cnf(8219,plain,
    equal(select(a_1085,i3),e_1130),
    inference(mrr,[status(thm)],[8216,430]),
    [iquote('14:MRR:8216.0,430.0')] ).

cnf(8228,plain,
    ( equal(i17,i3)
    | equal(select(a_1084,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8219,644]),
    [iquote('14:SpR:8219.0,644.1')] ).

cnf(8231,plain,
    equal(select(a_1084,i3),e_1130),
    inference(mrr,[status(thm)],[8228,431]),
    [iquote('14:MRR:8228.0,431.0')] ).

cnf(8250,plain,
    ( equal(i16,i3)
    | equal(select(a_1083,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8231,648]),
    [iquote('14:SpR:8231.0,648.1')] ).

cnf(8253,plain,
    equal(select(a_1083,i3),e_1130),
    inference(mrr,[status(thm)],[8250,432]),
    [iquote('14:MRR:8250.0,432.0')] ).

cnf(8262,plain,
    ( equal(i15,i3)
    | equal(select(a_1082,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8253,680]),
    [iquote('14:SpR:8253.0,680.1')] ).

cnf(8265,plain,
    equal(select(a_1082,i3),e_1130),
    inference(mrr,[status(thm)],[8262,433]),
    [iquote('14:MRR:8262.0,433.0')] ).

cnf(8274,plain,
    ( equal(i14,i3)
    | equal(select(a_1081,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8265,664]),
    [iquote('14:SpR:8265.0,664.1')] ).

cnf(8277,plain,
    equal(select(a_1081,i3),e_1130),
    inference(mrr,[status(thm)],[8274,434]),
    [iquote('14:MRR:8274.0,434.0')] ).

cnf(8286,plain,
    ( equal(i13,i3)
    | equal(select(a_1080,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8277,694]),
    [iquote('14:SpR:8277.0,694.1')] ).

cnf(8289,plain,
    equal(select(a_1080,i3),e_1130),
    inference(mrr,[status(thm)],[8286,435]),
    [iquote('14:MRR:8286.0,435.0')] ).

cnf(8308,plain,
    ( equal(i12,i3)
    | equal(select(a_1079,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8289,650]),
    [iquote('14:SpR:8289.0,650.1')] ).

cnf(8311,plain,
    equal(select(a_1079,i3),e_1130),
    inference(mrr,[status(thm)],[8308,436]),
    [iquote('14:MRR:8308.0,436.0')] ).

cnf(8320,plain,
    ( equal(i11,i3)
    | equal(select(a_1078,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8311,666]),
    [iquote('14:SpR:8311.0,666.1')] ).

cnf(8323,plain,
    equal(select(a_1078,i3),e_1130),
    inference(mrr,[status(thm)],[8320,437]),
    [iquote('14:MRR:8320.0,437.0')] ).

cnf(8332,plain,
    ( equal(i10,i3)
    | equal(select(a_1077,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8323,636]),
    [iquote('14:SpR:8323.0,636.1')] ).

cnf(8335,plain,
    equal(select(a_1077,i3),e_1130),
    inference(mrr,[status(thm)],[8332,438]),
    [iquote('14:MRR:8332.0,438.0')] ).

cnf(8344,plain,
    ( equal(i9,i3)
    | equal(select(a_1076,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8335,686]),
    [iquote('14:SpR:8335.0,686.1')] ).

cnf(8347,plain,
    equal(select(a_1076,i3),e_1130),
    inference(mrr,[status(thm)],[8344,439]),
    [iquote('14:MRR:8344.0,439.0')] ).

cnf(8374,plain,
    ( equal(i8,i3)
    | equal(select(a_1075,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8347,672]),
    [iquote('14:SpR:8347.0,672.1')] ).

cnf(8377,plain,
    equal(select(a_1075,i3),e_1130),
    inference(mrr,[status(thm)],[8374,440]),
    [iquote('14:MRR:8374.0,440.0')] ).

cnf(8386,plain,
    ( equal(i7,i3)
    | equal(select(a_1074,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8377,638]),
    [iquote('14:SpR:8377.0,638.1')] ).

cnf(8389,plain,
    equal(select(a_1074,i3),e_1130),
    inference(mrr,[status(thm)],[8386,441]),
    [iquote('14:MRR:8386.0,441.0')] ).

cnf(8398,plain,
    ( equal(i6,i3)
    | equal(select(a_1073,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8389,668]),
    [iquote('14:SpR:8389.0,668.1')] ).

cnf(8401,plain,
    equal(select(a_1073,i3),e_1130),
    inference(mrr,[status(thm)],[8398,442]),
    [iquote('14:MRR:8398.0,442.0')] ).

cnf(8410,plain,
    ( equal(i5,i3)
    | equal(select(a_1072,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8401,660]),
    [iquote('14:SpR:8401.0,660.1')] ).

cnf(8413,plain,
    equal(select(a_1072,i3),e_1130),
    inference(mrr,[status(thm)],[8410,443]),
    [iquote('14:MRR:8410.0,443.0')] ).

cnf(8440,plain,
    ( equal(i4,i3)
    | equal(select(a_1071,i3),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8413,688]),
    [iquote('14:SpR:8413.0,688.1')] ).

cnf(8443,plain,
    ( equal(i4,i3)
    | equal(e_1130,e3) ),
    inference(rew,[status(thm),theory(equality)],[586,8440]),
    [iquote('14:Rew:586.0,8440.1')] ).

cnf(8444,plain,
    $false,
    inference(mrr,[status(thm)],[8443,444,7866]),
    [iquote('14:MRR:8443.0,8443.1,444.0,7866.0')] ).

cnf(8447,plain,
    ~ equal(i_1129,i3),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[8444,7759]),
    [iquote('14:Spt:8444.0,6849.0,7759.0')] ).

cnf(8448,plain,
    equal(select(a_1119,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[6849]),
    [iquote('14:Spt:8444.0,6849.1')] ).

cnf(8454,plain,
    ( equal(i_1129,i27)
    | equal(select(a_1118,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[8448,653]),
    [iquote('14:SpR:8448.0,653.1')] ).

cnf(8458,plain,
    equal(select(a_1118,i_1129),e_1131),
    inference(mrr,[status(thm)],[8454,5130]),
    [iquote('14:MRR:8454.0,5130.0')] ).

cnf(8686,plain,
    ( equal(i_1129,i22)
    | equal(select(a_1117,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[8458,655]),
    [iquote('14:SpR:8458.0,655.1')] ).

cnf(8692,plain,
    equal(i_1129,i22),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[7753]),
    [iquote('15:Spt:7753.0')] ).

cnf(8708,plain,
    equal(select(a_1090,i22),e_1130),
    inference(rew,[status(thm),theory(equality)],[8692,7725]),
    [iquote('15:Rew:8692.0,7725.0')] ).

cnf(8727,plain,
    equal(select(a_1118,i22),e_1131),
    inference(rew,[status(thm),theory(equality)],[8692,8458]),
    [iquote('15:Rew:8692.0,8458.0')] ).

cnf(8809,plain,
    equal(e_1130,e22),
    inference(rew,[status(thm),theory(equality)],[590,8708]),
    [iquote('15:Rew:590.0,8708.0')] ).

cnf(8810,plain,
    ~ equal(e_1131,e22),
    inference(rew,[status(thm),theory(equality)],[8809,502]),
    [iquote('15:Rew:8809.0,502.0')] ).

cnf(8839,plain,
    equal(e_1131,e22),
    inference(rew,[status(thm),theory(equality)],[589,8727]),
    [iquote('15:Rew:589.0,8727.0')] ).

cnf(8840,plain,
    $false,
    inference(mrr,[status(thm)],[8839,8810]),
    [iquote('15:MRR:8839.0,8810.0')] ).

cnf(8890,plain,
    ~ equal(i_1129,i22),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[8840,8692]),
    [iquote('15:Spt:8840.0,7753.0,8692.0')] ).

cnf(8891,plain,
    equal(select(a_1089,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[7753]),
    [iquote('15:Spt:8840.0,7753.1')] ).

cnf(8892,plain,
    equal(select(a_1117,i_1129),e_1131),
    inference(mrr,[status(thm)],[8686,8890]),
    [iquote('15:MRR:8686.0,8890.0')] ).

cnf(8898,plain,
    ( equal(i_1129,i21)
    | equal(select(a_1088,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[8891,670]),
    [iquote('15:SpR:8891.0,670.1')] ).

cnf(9171,plain,
    ( equal(i_1129,i26)
    | equal(select(a_1116,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[8892,657]),
    [iquote('15:SpR:8892.0,657.1')] ).

cnf(9175,plain,
    equal(select(a_1116,i_1129),e_1131),
    inference(mrr,[status(thm)],[9171,6179]),
    [iquote('15:MRR:9171.0,6179.0')] ).

cnf(9183,plain,
    ( equal(i_1129,i5)
    | equal(select(a_1115,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[9175,659]),
    [iquote('15:SpR:9175.0,659.1')] ).

cnf(9199,plain,
    equal(i_1129,i21),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[8898]),
    [iquote('16:Spt:8898.0')] ).

cnf(9200,plain,
    equal(select(a_1089,i21),e_1130),
    inference(rew,[status(thm),theory(equality)],[9199,8891]),
    [iquote('16:Rew:9199.0,8891.0')] ).

cnf(9331,plain,
    ( equal(i21,i5)
    | equal(select(a_1115,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[9199,9183]),
    [iquote('16:Rew:9199.0,9183.0')] ).

cnf(9339,plain,
    equal(e_1130,e21),
    inference(rew,[status(thm),theory(equality)],[604,9200]),
    [iquote('16:Rew:604.0,9200.0')] ).

cnf(9340,plain,
    ~ equal(e_1131,e21),
    inference(rew,[status(thm),theory(equality)],[9339,502]),
    [iquote('16:Rew:9339.0,502.0')] ).

cnf(9370,plain,
    ( equal(i21,i5)
    | equal(select(a_1115,i21),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[9199,9331]),
    [iquote('16:Rew:9199.0,9331.1')] ).

cnf(9371,plain,
    equal(select(a_1115,i21),e_1131),
    inference(mrr,[status(thm)],[9370,376]),
    [iquote('16:MRR:9370.0,376.0')] ).

cnf(9746,plain,
    ( equal(i29,i21)
    | equal(select(a_1114,i21),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[9371,661]),
    [iquote('16:SpR:9371.0,661.1')] ).

cnf(9749,plain,
    equal(select(a_1114,i21),e_1131),
    inference(mrr,[status(thm)],[9746,104]),
    [iquote('16:MRR:9746.0,104.0')] ).

cnf(9758,plain,
    ( equal(i21,i14)
    | equal(select(a_1113,i21),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[9749,663]),
    [iquote('16:SpR:9749.0,663.1')] ).

cnf(9761,plain,
    equal(select(a_1113,i21),e_1131),
    inference(mrr,[status(thm)],[9758,196]),
    [iquote('16:MRR:9758.0,196.0')] ).

cnf(9770,plain,
    ( equal(i21,i11)
    | equal(select(a_1112,i21),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[9761,665]),
    [iquote('16:SpR:9761.0,665.1')] ).

cnf(9773,plain,
    equal(select(a_1112,i21),e_1131),
    inference(mrr,[status(thm)],[9770,247]),
    [iquote('16:MRR:9770.0,247.0')] ).

cnf(9782,plain,
    ( equal(i21,i6)
    | equal(select(a_1111,i21),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[9773,667]),
    [iquote('16:SpR:9773.0,667.1')] ).

cnf(9785,plain,
    ( equal(i21,i6)
    | equal(e_1131,e21) ),
    inference(rew,[status(thm),theory(equality)],[603,9782]),
    [iquote('16:Rew:603.0,9782.1')] ).

cnf(9786,plain,
    $false,
    inference(mrr,[status(thm)],[9785,352,9340]),
    [iquote('16:MRR:9785.0,9785.1,352.0,9340.0')] ).

cnf(9789,plain,
    ~ equal(i_1129,i21),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[9786,9199]),
    [iquote('16:Spt:9786.0,8898.0,9199.0')] ).

cnf(9790,plain,
    equal(select(a_1088,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[8898]),
    [iquote('16:Spt:9786.0,8898.1')] ).

cnf(9796,plain,
    ( equal(i_1129,i20)
    | equal(select(a_1087,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[9790,674]),
    [iquote('16:SpR:9790.0,674.1')] ).

cnf(10097,plain,
    equal(i_1129,i5),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[9183]),
    [iquote('17:Spt:9183.0')] ).

cnf(10115,plain,
    equal(select(a_1116,i5),e_1131),
    inference(rew,[status(thm),theory(equality)],[10097,9175]),
    [iquote('17:Rew:10097.0,9175.0')] ).

cnf(10239,plain,
    ( equal(i20,i5)
    | equal(select(a_1087,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[10097,9796]),
    [iquote('17:Rew:10097.0,9796.0')] ).

cnf(10243,plain,
    equal(e_1131,e5),
    inference(rew,[status(thm),theory(equality)],[593,10115]),
    [iquote('17:Rew:593.0,10115.0')] ).

cnf(10244,plain,
    ~ equal(e_1130,e5),
    inference(rew,[status(thm),theory(equality)],[10243,502]),
    [iquote('17:Rew:10243.0,502.0')] ).

cnf(10277,plain,
    ( equal(i20,i5)
    | equal(select(a_1087,i5),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[10097,10239]),
    [iquote('17:Rew:10097.0,10239.1')] ).

cnf(10278,plain,
    equal(select(a_1087,i5),e_1130),
    inference(mrr,[status(thm)],[10277,377]),
    [iquote('17:MRR:10277.0,377.0')] ).

cnf(10660,plain,
    ( equal(i19,i5)
    | equal(select(a_1086,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10278,690]),
    [iquote('17:SpR:10278.0,690.1')] ).

cnf(10663,plain,
    equal(select(a_1086,i5),e_1130),
    inference(mrr,[status(thm)],[10660,378]),
    [iquote('17:MRR:10660.0,378.0')] ).

cnf(10672,plain,
    ( equal(i18,i5)
    | equal(select(a_1085,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10663,676]),
    [iquote('17:SpR:10663.0,676.1')] ).

cnf(10675,plain,
    equal(select(a_1085,i5),e_1130),
    inference(mrr,[status(thm)],[10672,379]),
    [iquote('17:MRR:10672.0,379.0')] ).

cnf(10694,plain,
    ( equal(i17,i5)
    | equal(select(a_1084,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10675,644]),
    [iquote('17:SpR:10675.0,644.1')] ).

cnf(10697,plain,
    equal(select(a_1084,i5),e_1130),
    inference(mrr,[status(thm)],[10694,380]),
    [iquote('17:MRR:10694.0,380.0')] ).

cnf(10706,plain,
    ( equal(i16,i5)
    | equal(select(a_1083,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10697,648]),
    [iquote('17:SpR:10697.0,648.1')] ).

cnf(10709,plain,
    equal(select(a_1083,i5),e_1130),
    inference(mrr,[status(thm)],[10706,381]),
    [iquote('17:MRR:10706.0,381.0')] ).

cnf(10718,plain,
    ( equal(i15,i5)
    | equal(select(a_1082,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10709,680]),
    [iquote('17:SpR:10709.0,680.1')] ).

cnf(10721,plain,
    equal(select(a_1082,i5),e_1130),
    inference(mrr,[status(thm)],[10718,382]),
    [iquote('17:MRR:10718.0,382.0')] ).

cnf(10730,plain,
    ( equal(i14,i5)
    | equal(select(a_1081,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10721,664]),
    [iquote('17:SpR:10721.0,664.1')] ).

cnf(10733,plain,
    equal(select(a_1081,i5),e_1130),
    inference(mrr,[status(thm)],[10730,383]),
    [iquote('17:MRR:10730.0,383.0')] ).

cnf(10760,plain,
    ( equal(i13,i5)
    | equal(select(a_1080,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10733,694]),
    [iquote('17:SpR:10733.0,694.1')] ).

cnf(10763,plain,
    equal(select(a_1080,i5),e_1130),
    inference(mrr,[status(thm)],[10760,384]),
    [iquote('17:MRR:10760.0,384.0')] ).

cnf(10772,plain,
    ( equal(i12,i5)
    | equal(select(a_1079,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10763,650]),
    [iquote('17:SpR:10763.0,650.1')] ).

cnf(10775,plain,
    equal(select(a_1079,i5),e_1130),
    inference(mrr,[status(thm)],[10772,385]),
    [iquote('17:MRR:10772.0,385.0')] ).

cnf(10784,plain,
    ( equal(i11,i5)
    | equal(select(a_1078,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10775,666]),
    [iquote('17:SpR:10775.0,666.1')] ).

cnf(10787,plain,
    equal(select(a_1078,i5),e_1130),
    inference(mrr,[status(thm)],[10784,386]),
    [iquote('17:MRR:10784.0,386.0')] ).

cnf(10796,plain,
    ( equal(i10,i5)
    | equal(select(a_1077,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10787,636]),
    [iquote('17:SpR:10787.0,636.1')] ).

cnf(10800,plain,
    equal(select(a_1077,i5),e_1130),
    inference(mrr,[status(thm)],[10796,387]),
    [iquote('17:MRR:10796.0,387.0')] ).

cnf(10826,plain,
    ( equal(i9,i5)
    | equal(select(a_1076,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10800,686]),
    [iquote('17:SpR:10800.0,686.1')] ).

cnf(10829,plain,
    equal(select(a_1076,i5),e_1130),
    inference(mrr,[status(thm)],[10826,388]),
    [iquote('17:MRR:10826.0,388.0')] ).

cnf(10838,plain,
    ( equal(i8,i5)
    | equal(select(a_1075,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10829,672]),
    [iquote('17:SpR:10829.0,672.1')] ).

cnf(10841,plain,
    equal(select(a_1075,i5),e_1130),
    inference(mrr,[status(thm)],[10838,389]),
    [iquote('17:MRR:10838.0,389.0')] ).

cnf(10850,plain,
    ( equal(i7,i5)
    | equal(select(a_1074,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10841,638]),
    [iquote('17:SpR:10841.0,638.1')] ).

cnf(10854,plain,
    equal(select(a_1074,i5),e_1130),
    inference(mrr,[status(thm)],[10850,390]),
    [iquote('17:MRR:10850.0,390.0')] ).

cnf(10863,plain,
    ( equal(i6,i5)
    | equal(select(a_1073,i5),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[10854,668]),
    [iquote('17:SpR:10854.0,668.1')] ).

cnf(10866,plain,
    ( equal(i6,i5)
    | equal(e_1130,e5) ),
    inference(rew,[status(thm),theory(equality)],[594,10863]),
    [iquote('17:Rew:594.0,10863.1')] ).

cnf(10867,plain,
    $false,
    inference(mrr,[status(thm)],[10866,391,10244]),
    [iquote('17:MRR:10866.0,10866.1,391.0,10244.0')] ).

cnf(10870,plain,
    ~ equal(i_1129,i5),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[10867,10097]),
    [iquote('17:Spt:10867.0,9183.0,10097.0')] ).

cnf(10871,plain,
    equal(select(a_1115,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[9183]),
    [iquote('17:Spt:10867.0,9183.1')] ).

cnf(10877,plain,
    ( equal(i_1129,i29)
    | equal(select(a_1114,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[10871,661]),
    [iquote('17:SpR:10871.0,661.1')] ).

cnf(10881,plain,
    equal(select(a_1114,i_1129),e_1131),
    inference(mrr,[status(thm)],[10877,3680]),
    [iquote('17:MRR:10877.0,3680.0')] ).

cnf(11207,plain,
    ( equal(i_1129,i14)
    | equal(select(a_1113,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[10881,663]),
    [iquote('17:SpR:10881.0,663.1')] ).

cnf(11213,plain,
    equal(i_1129,i20),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[9796]),
    [iquote('18:Spt:9796.0')] ).

cnf(11256,plain,
    equal(select(a_1088,i20),e_1130),
    inference(rew,[status(thm),theory(equality)],[11213,9790]),
    [iquote('18:Rew:11213.0,9790.0')] ).

cnf(11372,plain,
    ( equal(i20,i14)
    | equal(select(a_1113,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[11213,11207]),
    [iquote('18:Rew:11213.0,11207.0')] ).

cnf(11376,plain,
    equal(e_1130,e20),
    inference(rew,[status(thm),theory(equality)],[608,11256]),
    [iquote('18:Rew:608.0,11256.0')] ).

cnf(11377,plain,
    ~ equal(e_1131,e20),
    inference(rew,[status(thm),theory(equality)],[11376,502]),
    [iquote('18:Rew:11376.0,502.0')] ).

cnf(11408,plain,
    ( equal(i20,i14)
    | equal(select(a_1113,i20),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[11213,11372]),
    [iquote('18:Rew:11213.0,11372.1')] ).

cnf(11409,plain,
    equal(select(a_1113,i20),e_1131),
    inference(mrr,[status(thm)],[11408,197]),
    [iquote('18:MRR:11408.0,197.0')] ).

cnf(11816,plain,
    ( equal(i20,i11)
    | equal(select(a_1112,i20),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[11409,665]),
    [iquote('18:SpR:11409.0,665.1')] ).

cnf(11819,plain,
    equal(select(a_1112,i20),e_1131),
    inference(mrr,[status(thm)],[11816,248]),
    [iquote('18:MRR:11816.0,248.0')] ).

cnf(11838,plain,
    ( equal(i20,i6)
    | equal(select(a_1111,i20),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[11819,667]),
    [iquote('18:SpR:11819.0,667.1')] ).

cnf(11841,plain,
    equal(select(a_1111,i20),e_1131),
    inference(mrr,[status(thm)],[11838,353]),
    [iquote('18:MRR:11838.0,353.0')] ).

cnf(11850,plain,
    ( equal(i21,i20)
    | equal(select(a_1110,i20),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[11841,669]),
    [iquote('18:SpR:11841.0,669.1')] ).

cnf(11853,plain,
    equal(select(a_1110,i20),e_1131),
    inference(mrr,[status(thm)],[11850,121]),
    [iquote('18:MRR:11850.0,121.0')] ).

cnf(11862,plain,
    ( equal(i20,i8)
    | equal(select(a_1109,i20),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[11853,671]),
    [iquote('18:SpR:11853.0,671.1')] ).

cnf(11865,plain,
    ( equal(i20,i8)
    | equal(e_1131,e20) ),
    inference(rew,[status(thm),theory(equality)],[607,11862]),
    [iquote('18:Rew:607.0,11862.1')] ).

cnf(11866,plain,
    $false,
    inference(mrr,[status(thm)],[11865,308,11377]),
    [iquote('18:MRR:11865.0,11865.1,308.0,11377.0')] ).

cnf(11869,plain,
    ~ equal(i_1129,i20),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[11866,11213]),
    [iquote('18:Spt:11866.0,9796.0,11213.0')] ).

cnf(11870,plain,
    equal(select(a_1087,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[9796]),
    [iquote('18:Spt:11866.0,9796.1')] ).

cnf(11876,plain,
    ( equal(i_1129,i19)
    | equal(select(a_1086,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[11870,690]),
    [iquote('18:SpR:11870.0,690.1')] ).

cnf(12222,plain,
    equal(i_1129,i14),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[11207]),
    [iquote('19:Spt:11207.0')] ).

cnf(12242,plain,
    equal(select(a_1114,i14),e_1131),
    inference(rew,[status(thm),theory(equality)],[12222,10881]),
    [iquote('19:Rew:12222.0,10881.0')] ).

cnf(12387,plain,
    ( equal(i19,i14)
    | equal(select(a_1086,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[12222,11876]),
    [iquote('19:Rew:12222.0,11876.0')] ).

cnf(12391,plain,
    equal(e_1131,e14),
    inference(rew,[status(thm),theory(equality)],[597,12242]),
    [iquote('19:Rew:597.0,12242.0')] ).

cnf(12392,plain,
    ~ equal(e_1130,e14),
    inference(rew,[status(thm),theory(equality)],[12391,502]),
    [iquote('19:Rew:12391.0,502.0')] ).

cnf(12427,plain,
    ( equal(i19,i14)
    | equal(select(a_1086,i14),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[12222,12387]),
    [iquote('19:Rew:12222.0,12387.1')] ).

cnf(12428,plain,
    equal(select(a_1086,i14),e_1130),
    inference(mrr,[status(thm)],[12427,198]),
    [iquote('19:MRR:12427.0,198.0')] ).

cnf(12870,plain,
    ( equal(i18,i14)
    | equal(select(a_1085,i14),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[12428,676]),
    [iquote('19:SpR:12428.0,676.1')] ).

cnf(12873,plain,
    equal(select(a_1085,i14),e_1130),
    inference(mrr,[status(thm)],[12870,199]),
    [iquote('19:MRR:12870.0,199.0')] ).

cnf(12882,plain,
    ( equal(i17,i14)
    | equal(select(a_1084,i14),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[12873,644]),
    [iquote('19:SpR:12873.0,644.1')] ).

cnf(12885,plain,
    equal(select(a_1084,i14),e_1130),
    inference(mrr,[status(thm)],[12882,200]),
    [iquote('19:MRR:12882.0,200.0')] ).

cnf(12894,plain,
    ( equal(i16,i14)
    | equal(select(a_1083,i14),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[12885,648]),
    [iquote('19:SpR:12885.0,648.1')] ).

cnf(12897,plain,
    equal(select(a_1083,i14),e_1130),
    inference(mrr,[status(thm)],[12894,201]),
    [iquote('19:MRR:12894.0,201.0')] ).

cnf(12924,plain,
    ( equal(i15,i14)
    | equal(select(a_1082,i14),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[12897,680]),
    [iquote('19:SpR:12897.0,680.1')] ).

cnf(12927,plain,
    ( equal(i15,i14)
    | equal(e_1130,e14) ),
    inference(rew,[status(thm),theory(equality)],[598,12924]),
    [iquote('19:Rew:598.0,12924.1')] ).

cnf(12928,plain,
    $false,
    inference(mrr,[status(thm)],[12927,202,12392]),
    [iquote('19:MRR:12927.0,12927.1,202.0,12392.0')] ).

cnf(12931,plain,
    ~ equal(i_1129,i14),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[12928,12222]),
    [iquote('19:Spt:12928.0,11207.0,12222.0')] ).

cnf(12932,plain,
    equal(select(a_1113,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[11207]),
    [iquote('19:Spt:12928.0,11207.1')] ).

cnf(12938,plain,
    ( equal(i_1129,i11)
    | equal(select(a_1112,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[12932,665]),
    [iquote('19:SpR:12932.0,665.1')] ).

cnf(13296,plain,
    equal(i_1129,i19),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[11876]),
    [iquote('20:Spt:11876.0')] ).

cnf(13345,plain,
    equal(select(a_1087,i19),e_1130),
    inference(rew,[status(thm),theory(equality)],[13296,11870]),
    [iquote('20:Rew:13296.0,11870.0')] ).

cnf(13467,plain,
    ( equal(i19,i11)
    | equal(select(a_1112,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[13296,12938]),
    [iquote('20:Rew:13296.0,12938.0')] ).

cnf(13472,plain,
    equal(e_1130,e19),
    inference(rew,[status(thm),theory(equality)],[624,13345]),
    [iquote('20:Rew:624.0,13345.0')] ).

cnf(13473,plain,
    ~ equal(e_1131,e19),
    inference(rew,[status(thm),theory(equality)],[13472,502]),
    [iquote('20:Rew:13472.0,502.0')] ).

cnf(13505,plain,
    ( equal(i19,i11)
    | equal(select(a_1112,i19),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[13296,13467]),
    [iquote('20:Rew:13296.0,13467.1')] ).

cnf(13506,plain,
    equal(select(a_1112,i19),e_1131),
    inference(mrr,[status(thm)],[13505,249]),
    [iquote('20:MRR:13505.0,249.0')] ).

cnf(13951,plain,
    ( equal(i19,i6)
    | equal(select(a_1111,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[13506,667]),
    [iquote('20:SpR:13506.0,667.1')] ).

cnf(13954,plain,
    equal(select(a_1111,i19),e_1131),
    inference(mrr,[status(thm)],[13951,354]),
    [iquote('20:MRR:13951.0,354.0')] ).

cnf(13963,plain,
    ( equal(i21,i19)
    | equal(select(a_1110,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[13954,669]),
    [iquote('20:SpR:13954.0,669.1')] ).

cnf(13966,plain,
    equal(select(a_1110,i19),e_1131),
    inference(mrr,[status(thm)],[13963,131]),
    [iquote('20:MRR:13963.0,131.0')] ).

cnf(13993,plain,
    ( equal(i19,i8)
    | equal(select(a_1109,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[13966,671]),
    [iquote('20:SpR:13966.0,671.1')] ).

cnf(13996,plain,
    equal(select(a_1109,i19),e_1131),
    inference(mrr,[status(thm)],[13993,309]),
    [iquote('20:MRR:13993.0,309.0')] ).

cnf(14005,plain,
    ( equal(i20,i19)
    | equal(select(a_1108,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[13996,673]),
    [iquote('20:SpR:13996.0,673.1')] ).

cnf(14008,plain,
    equal(select(a_1108,i19),e_1131),
    inference(mrr,[status(thm)],[14005,132]),
    [iquote('20:MRR:14005.0,132.0')] ).

cnf(14017,plain,
    ( equal(i19,i18)
    | equal(select(a_1107,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[14008,675]),
    [iquote('20:SpR:14008.0,675.1')] ).

cnf(14020,plain,
    equal(select(a_1107,i19),e_1131),
    inference(mrr,[status(thm)],[14017,144]),
    [iquote('20:MRR:14017.0,144.0')] ).

cnf(14029,plain,
    ( equal(i25,i19)
    | equal(select(a_1106,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[14020,677]),
    [iquote('20:SpR:14020.0,677.1')] ).

cnf(14032,plain,
    equal(select(a_1106,i19),e_1131),
    inference(mrr,[status(thm)],[14029,127]),
    [iquote('20:MRR:14029.0,127.0')] ).

cnf(14059,plain,
    ( equal(i19,i15)
    | equal(select(a_1105,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[14032,679]),
    [iquote('20:SpR:14032.0,679.1')] ).

cnf(14062,plain,
    equal(select(a_1105,i19),e_1131),
    inference(mrr,[status(thm)],[14059,183]),
    [iquote('20:MRR:14059.0,183.0')] ).

cnf(14071,plain,
    ( equal(i19,i2)
    | equal(select(a_1104,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[14062,681]),
    [iquote('20:SpR:14062.0,681.1')] ).

cnf(14074,plain,
    equal(select(a_1104,i19),e_1131),
    inference(mrr,[status(thm)],[14071,456]),
    [iquote('20:MRR:14071.0,456.0')] ).

cnf(14083,plain,
    ( equal(i30,i19)
    | equal(select(a_1103,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[14074,683]),
    [iquote('20:SpR:14074.0,683.1')] ).

cnf(14086,plain,
    equal(select(a_1103,i19),e_1131),
    inference(mrr,[status(thm)],[14083,122]),
    [iquote('20:MRR:14083.0,122.0')] ).

cnf(14095,plain,
    ( equal(i19,i9)
    | equal(select(a_1102,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[14086,685]),
    [iquote('20:SpR:14086.0,685.1')] ).

cnf(14098,plain,
    equal(select(a_1102,i19),e_1131),
    inference(mrr,[status(thm)],[14095,288]),
    [iquote('20:MRR:14095.0,288.0')] ).

cnf(14125,plain,
    ( equal(i19,i4)
    | equal(select(a_1101,i19),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[14098,687]),
    [iquote('20:SpR:14098.0,687.1')] ).

cnf(14128,plain,
    ( equal(i19,i4)
    | equal(e_1131,e19) ),
    inference(rew,[status(thm),theory(equality)],[623,14125]),
    [iquote('20:Rew:623.0,14125.1')] ).

cnf(14129,plain,
    $false,
    inference(mrr,[status(thm)],[14128,403,13473]),
    [iquote('20:MRR:14128.0,14128.1,403.0,13473.0')] ).

cnf(14132,plain,
    ~ equal(i_1129,i19),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[14129,13296]),
    [iquote('20:Spt:14129.0,11876.0,13296.0')] ).

cnf(14133,plain,
    equal(select(a_1086,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[11876]),
    [iquote('20:Spt:14129.0,11876.1')] ).

cnf(14139,plain,
    ( equal(i_1129,i18)
    | equal(select(a_1085,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[14133,676]),
    [iquote('20:SpR:14133.0,676.1')] ).

cnf(14521,plain,
    equal(i_1129,i11),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[12938]),
    [iquote('21:Spt:12938.0')] ).

cnf(14572,plain,
    equal(select(a_1113,i11),e_1131),
    inference(rew,[status(thm),theory(equality)],[14521,12932]),
    [iquote('21:Rew:14521.0,12932.0')] ).

cnf(14699,plain,
    ( equal(i18,i11)
    | equal(select(a_1085,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[14521,14139]),
    [iquote('21:Rew:14521.0,14139.0')] ).

cnf(14706,plain,
    equal(e_1131,e11),
    inference(rew,[status(thm),theory(equality)],[599,14572]),
    [iquote('21:Rew:599.0,14572.0')] ).

cnf(14707,plain,
    ~ equal(e_1130,e11),
    inference(rew,[status(thm),theory(equality)],[14706,502]),
    [iquote('21:Rew:14706.0,502.0')] ).

cnf(14743,plain,
    ( equal(i18,i11)
    | equal(select(a_1085,i11),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[14521,14699]),
    [iquote('21:Rew:14521.0,14699.1')] ).

cnf(14744,plain,
    equal(select(a_1085,i11),e_1130),
    inference(mrr,[status(thm)],[14743,250]),
    [iquote('21:MRR:14743.0,250.0')] ).

cnf(15219,plain,
    ( equal(i17,i11)
    | equal(select(a_1084,i11),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[14744,644]),
    [iquote('21:SpR:14744.0,644.1')] ).

cnf(15222,plain,
    equal(select(a_1084,i11),e_1130),
    inference(mrr,[status(thm)],[15219,251]),
    [iquote('21:MRR:15219.0,251.0')] ).

cnf(15231,plain,
    ( equal(i16,i11)
    | equal(select(a_1083,i11),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[15222,648]),
    [iquote('21:SpR:15222.0,648.1')] ).

cnf(15234,plain,
    equal(select(a_1083,i11),e_1130),
    inference(mrr,[status(thm)],[15231,252]),
    [iquote('21:MRR:15231.0,252.0')] ).

cnf(15243,plain,
    ( equal(i15,i11)
    | equal(select(a_1082,i11),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[15234,680]),
    [iquote('21:SpR:15234.0,680.1')] ).

cnf(15246,plain,
    equal(select(a_1082,i11),e_1130),
    inference(mrr,[status(thm)],[15243,253]),
    [iquote('21:MRR:15243.0,253.0')] ).

cnf(15273,plain,
    ( equal(i14,i11)
    | equal(select(a_1081,i11),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[15246,664]),
    [iquote('21:SpR:15246.0,664.1')] ).

cnf(15276,plain,
    equal(select(a_1081,i11),e_1130),
    inference(mrr,[status(thm)],[15273,254]),
    [iquote('21:MRR:15273.0,254.0')] ).

cnf(15285,plain,
    ( equal(i13,i11)
    | equal(select(a_1080,i11),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[15276,694]),
    [iquote('21:SpR:15276.0,694.1')] ).

cnf(15288,plain,
    equal(select(a_1080,i11),e_1130),
    inference(mrr,[status(thm)],[15285,255]),
    [iquote('21:MRR:15285.0,255.0')] ).

cnf(15297,plain,
    ( equal(i12,i11)
    | equal(select(a_1079,i11),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[15288,650]),
    [iquote('21:SpR:15288.0,650.1')] ).

cnf(15300,plain,
    ( equal(i12,i11)
    | equal(e_1130,e11) ),
    inference(rew,[status(thm),theory(equality)],[600,15297]),
    [iquote('21:Rew:600.0,15297.1')] ).

cnf(15301,plain,
    $false,
    inference(mrr,[status(thm)],[15300,256,14707]),
    [iquote('21:MRR:15300.0,15300.1,256.0,14707.0')] ).

cnf(15304,plain,
    ~ equal(i_1129,i11),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[15301,14521]),
    [iquote('21:Spt:15301.0,12938.0,14521.0')] ).

cnf(15305,plain,
    equal(select(a_1112,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[12938]),
    [iquote('21:Spt:15301.0,12938.1')] ).

cnf(15311,plain,
    ( equal(i_1129,i6)
    | equal(select(a_1111,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[15305,667]),
    [iquote('21:SpR:15305.0,667.1')] ).

cnf(15695,plain,
    equal(i_1129,i18),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[14139]),
    [iquote('22:Spt:14139.0')] ).

cnf(15748,plain,
    equal(select(a_1086,i18),e_1130),
    inference(rew,[status(thm),theory(equality)],[15695,14133]),
    [iquote('22:Rew:15695.0,14133.0')] ).

cnf(15882,plain,
    ( equal(i18,i6)
    | equal(select(a_1111,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[15695,15311]),
    [iquote('22:Rew:15695.0,15311.0')] ).

cnf(15887,plain,
    equal(e_1130,e18),
    inference(rew,[status(thm),theory(equality)],[610,15748]),
    [iquote('22:Rew:610.0,15748.0')] ).

cnf(15888,plain,
    ~ equal(e_1131,e18),
    inference(rew,[status(thm),theory(equality)],[15887,502]),
    [iquote('22:Rew:15887.0,502.0')] ).

cnf(15921,plain,
    ( equal(i18,i6)
    | equal(select(a_1111,i18),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[15695,15882]),
    [iquote('22:Rew:15695.0,15882.1')] ).

cnf(15922,plain,
    equal(select(a_1111,i18),e_1131),
    inference(mrr,[status(thm)],[15921,355]),
    [iquote('22:MRR:15921.0,355.0')] ).

cnf(16417,plain,
    ( equal(i21,i18)
    | equal(select(a_1110,i18),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[15922,669]),
    [iquote('22:SpR:15922.0,669.1')] ).

cnf(16420,plain,
    equal(select(a_1110,i18),e_1131),
    inference(mrr,[status(thm)],[16417,142]),
    [iquote('22:MRR:16417.0,142.0')] ).

cnf(16429,plain,
    ( equal(i18,i8)
    | equal(select(a_1109,i18),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[16420,671]),
    [iquote('22:SpR:16420.0,671.1')] ).

cnf(16432,plain,
    equal(select(a_1109,i18),e_1131),
    inference(mrr,[status(thm)],[16429,310]),
    [iquote('22:MRR:16429.0,310.0')] ).

cnf(16441,plain,
    ( equal(i20,i18)
    | equal(select(a_1108,i18),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[16432,673]),
    [iquote('22:SpR:16432.0,673.1')] ).

cnf(16444,plain,
    ( equal(i20,i18)
    | equal(e_1131,e18) ),
    inference(rew,[status(thm),theory(equality)],[609,16441]),
    [iquote('22:Rew:609.0,16441.1')] ).

cnf(16445,plain,
    $false,
    inference(mrr,[status(thm)],[16444,143,15888]),
    [iquote('22:MRR:16444.0,16444.1,143.0,15888.0')] ).

cnf(16448,plain,
    ~ equal(i_1129,i18),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[16445,15695]),
    [iquote('22:Spt:16445.0,14139.0,15695.0')] ).

cnf(16449,plain,
    equal(select(a_1085,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[14139]),
    [iquote('22:Spt:16445.0,14139.1')] ).

cnf(16455,plain,
    ( equal(i_1129,i17)
    | equal(select(a_1084,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[16449,644]),
    [iquote('22:SpR:16449.0,644.1')] ).

cnf(16460,plain,
    equal(select(a_1084,i_1129),e_1130),
    inference(mrr,[status(thm)],[16455,4689]),
    [iquote('22:MRR:16455.0,4689.0')] ).

cnf(16867,plain,
    ( equal(i_1129,i16)
    | equal(select(a_1083,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[16460,648]),
    [iquote('22:SpR:16460.0,648.1')] ).

cnf(16871,plain,
    equal(select(a_1083,i_1129),e_1130),
    inference(mrr,[status(thm)],[16867,5705]),
    [iquote('22:MRR:16867.0,5705.0')] ).

cnf(16879,plain,
    ( equal(i_1129,i15)
    | equal(select(a_1082,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[16871,680]),
    [iquote('22:SpR:16871.0,680.1')] ).

cnf(16903,plain,
    equal(i_1129,i6),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[15311]),
    [iquote('23:Spt:15311.0')] ).

cnf(16959,plain,
    equal(select(a_1112,i6),e_1131),
    inference(rew,[status(thm),theory(equality)],[16903,15305]),
    [iquote('23:Rew:16903.0,15305.0')] ).

cnf(17108,plain,
    ( equal(i15,i6)
    | equal(select(a_1082,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[16903,16879]),
    [iquote('23:Rew:16903.0,16879.0')] ).

cnf(17113,plain,
    equal(e_1131,e6),
    inference(rew,[status(thm),theory(equality)],[601,16959]),
    [iquote('23:Rew:601.0,16959.0')] ).

cnf(17114,plain,
    ~ equal(e_1130,e6),
    inference(rew,[status(thm),theory(equality)],[17113,502]),
    [iquote('23:Rew:17113.0,502.0')] ).

cnf(17151,plain,
    ( equal(i15,i6)
    | equal(select(a_1082,i6),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[16903,17108]),
    [iquote('23:Rew:16903.0,17108.1')] ).

cnf(17152,plain,
    equal(select(a_1082,i6),e_1130),
    inference(mrr,[status(thm)],[17151,358]),
    [iquote('23:MRR:17151.0,358.0')] ).

cnf(17700,plain,
    ( equal(i14,i6)
    | equal(select(a_1081,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17152,664]),
    [iquote('23:SpR:17152.0,664.1')] ).

cnf(17703,plain,
    equal(select(a_1081,i6),e_1130),
    inference(mrr,[status(thm)],[17700,359]),
    [iquote('23:MRR:17700.0,359.0')] ).

cnf(17712,plain,
    ( equal(i13,i6)
    | equal(select(a_1080,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17703,694]),
    [iquote('23:SpR:17703.0,694.1')] ).

cnf(17715,plain,
    equal(select(a_1080,i6),e_1130),
    inference(mrr,[status(thm)],[17712,360]),
    [iquote('23:MRR:17712.0,360.0')] ).

cnf(17724,plain,
    ( equal(i12,i6)
    | equal(select(a_1079,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17715,650]),
    [iquote('23:SpR:17715.0,650.1')] ).

cnf(17727,plain,
    equal(select(a_1079,i6),e_1130),
    inference(mrr,[status(thm)],[17724,361]),
    [iquote('23:MRR:17724.0,361.0')] ).

cnf(17754,plain,
    ( equal(i11,i6)
    | equal(select(a_1078,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17727,666]),
    [iquote('23:SpR:17727.0,666.1')] ).

cnf(17757,plain,
    equal(select(a_1078,i6),e_1130),
    inference(mrr,[status(thm)],[17754,362]),
    [iquote('23:MRR:17754.0,362.0')] ).

cnf(17766,plain,
    ( equal(i10,i6)
    | equal(select(a_1077,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17757,636]),
    [iquote('23:SpR:17757.0,636.1')] ).

cnf(17770,plain,
    equal(select(a_1077,i6),e_1130),
    inference(mrr,[status(thm)],[17766,363]),
    [iquote('23:MRR:17766.0,363.0')] ).

cnf(17779,plain,
    ( equal(i9,i6)
    | equal(select(a_1076,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17770,686]),
    [iquote('23:SpR:17770.0,686.1')] ).

cnf(17782,plain,
    equal(select(a_1076,i6),e_1130),
    inference(mrr,[status(thm)],[17779,364]),
    [iquote('23:MRR:17779.0,364.0')] ).

cnf(17791,plain,
    ( equal(i8,i6)
    | equal(select(a_1075,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17782,672]),
    [iquote('23:SpR:17782.0,672.1')] ).

cnf(17794,plain,
    equal(select(a_1075,i6),e_1130),
    inference(mrr,[status(thm)],[17791,365]),
    [iquote('23:MRR:17791.0,365.0')] ).

cnf(17821,plain,
    ( equal(i7,i6)
    | equal(select(a_1074,i6),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[17794,638]),
    [iquote('23:SpR:17794.0,638.1')] ).

cnf(17825,plain,
    ( equal(i7,i6)
    | equal(e_1130,e6) ),
    inference(rew,[status(thm),theory(equality)],[602,17821]),
    [iquote('23:Rew:602.0,17821.1')] ).

cnf(17826,plain,
    $false,
    inference(mrr,[status(thm)],[17825,366,17114]),
    [iquote('23:MRR:17825.0,17825.1,366.0,17114.0')] ).

cnf(17829,plain,
    ~ equal(i_1129,i6),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[17826,16903]),
    [iquote('23:Spt:17826.0,15311.0,16903.0')] ).

cnf(17830,plain,
    equal(select(a_1111,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[15311]),
    [iquote('23:Spt:17826.0,15311.1')] ).

cnf(17836,plain,
    ( equal(i_1129,i21)
    | equal(select(a_1110,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[17830,669]),
    [iquote('23:SpR:17830.0,669.1')] ).

cnf(17840,plain,
    equal(select(a_1110,i_1129),e_1131),
    inference(mrr,[status(thm)],[17836,9789]),
    [iquote('23:MRR:17836.0,9789.0')] ).

cnf(18285,plain,
    ( equal(i_1129,i8)
    | equal(select(a_1109,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[17840,671]),
    [iquote('23:SpR:17840.0,671.1')] ).

cnf(18309,plain,
    equal(i_1129,i15),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[16879]),
    [iquote('24:Spt:16879.0')] ).

cnf(18334,plain,
    equal(select(a_1083,i15),e_1130),
    inference(rew,[status(thm),theory(equality)],[18309,16871]),
    [iquote('24:Rew:18309.0,16871.0')] ).

cnf(18529,plain,
    ( equal(i15,i8)
    | equal(select(a_1109,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[18309,18285]),
    [iquote('24:Rew:18309.0,18285.0')] ).

cnf(18534,plain,
    equal(e_1130,e15),
    inference(rew,[status(thm),theory(equality)],[614,18334]),
    [iquote('24:Rew:614.0,18334.0')] ).

cnf(18535,plain,
    ~ equal(e_1131,e15),
    inference(rew,[status(thm),theory(equality)],[18534,502]),
    [iquote('24:Rew:18534.0,502.0')] ).

cnf(18571,plain,
    ( equal(i15,i8)
    | equal(select(a_1109,i15),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[18309,18529]),
    [iquote('24:Rew:18309.0,18529.1')] ).

cnf(18572,plain,
    equal(select(a_1109,i15),e_1131),
    inference(mrr,[status(thm)],[18571,313]),
    [iquote('24:MRR:18571.0,313.0')] ).

cnf(19145,plain,
    ( equal(i20,i15)
    | equal(select(a_1108,i15),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[18572,673]),
    [iquote('24:SpR:18572.0,673.1')] ).

cnf(19148,plain,
    equal(select(a_1108,i15),e_1131),
    inference(mrr,[status(thm)],[19145,182]),
    [iquote('24:MRR:19145.0,182.0')] ).

cnf(19175,plain,
    ( equal(i18,i15)
    | equal(select(a_1107,i15),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[19148,675]),
    [iquote('24:SpR:19148.0,675.1')] ).

cnf(19178,plain,
    equal(select(a_1107,i15),e_1131),
    inference(mrr,[status(thm)],[19175,184]),
    [iquote('24:MRR:19175.0,184.0')] ).

cnf(19187,plain,
    ( equal(i25,i15)
    | equal(select(a_1106,i15),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[19178,677]),
    [iquote('24:SpR:19178.0,677.1')] ).

cnf(19190,plain,
    ( equal(i25,i15)
    | equal(e_1131,e15) ),
    inference(rew,[status(thm),theory(equality)],[613,19187]),
    [iquote('24:Rew:613.0,19187.1')] ).

cnf(19191,plain,
    $false,
    inference(mrr,[status(thm)],[19190,177,18535]),
    [iquote('24:MRR:19190.0,19190.1,177.0,18535.0')] ).

cnf(19194,plain,
    ~ equal(i_1129,i15),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[19191,18309]),
    [iquote('24:Spt:19191.0,16879.0,18309.0')] ).

cnf(19195,plain,
    equal(select(a_1082,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[16879]),
    [iquote('24:Spt:19191.0,16879.1')] ).

cnf(19201,plain,
    ( equal(i_1129,i14)
    | equal(select(a_1081,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[19195,664]),
    [iquote('24:SpR:19195.0,664.1')] ).

cnf(19205,plain,
    equal(select(a_1081,i_1129),e_1130),
    inference(mrr,[status(thm)],[19201,12931]),
    [iquote('24:MRR:19201.0,12931.0')] ).

cnf(19691,plain,
    ( equal(i_1129,i13)
    | equal(select(a_1080,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[19205,694]),
    [iquote('24:SpR:19205.0,694.1')] ).

cnf(19715,plain,
    equal(i_1129,i8),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[18285]),
    [iquote('25:Spt:18285.0')] ).

cnf(19741,plain,
    equal(select(a_1110,i8),e_1131),
    inference(rew,[status(thm),theory(equality)],[19715,17840]),
    [iquote('25:Rew:19715.0,17840.0')] ).

cnf(19948,plain,
    ( equal(i13,i8)
    | equal(select(a_1080,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[19715,19691]),
    [iquote('25:Rew:19715.0,19691.0')] ).

cnf(19953,plain,
    equal(e_1131,e8),
    inference(rew,[status(thm),theory(equality)],[605,19741]),
    [iquote('25:Rew:605.0,19741.0')] ).

cnf(19954,plain,
    ~ equal(e_1130,e8),
    inference(rew,[status(thm),theory(equality)],[19953,502]),
    [iquote('25:Rew:19953.0,502.0')] ).

cnf(19993,plain,
    ( equal(i13,i8)
    | equal(select(a_1080,i8),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[19715,19948]),
    [iquote('25:Rew:19715.0,19948.1')] ).

cnf(19994,plain,
    equal(select(a_1080,i8),e_1130),
    inference(mrr,[status(thm)],[19993,315]),
    [iquote('25:MRR:19993.0,315.0')] ).

cnf(20624,plain,
    ( equal(i12,i8)
    | equal(select(a_1079,i8),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[19994,650]),
    [iquote('25:SpR:19994.0,650.1')] ).

cnf(20628,plain,
    equal(select(a_1079,i8),e_1130),
    inference(mrr,[status(thm)],[20624,316]),
    [iquote('25:MRR:20624.0,316.0')] ).

cnf(20637,plain,
    ( equal(i11,i8)
    | equal(select(a_1078,i8),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[20628,666]),
    [iquote('25:SpR:20628.0,666.1')] ).

cnf(20640,plain,
    equal(select(a_1078,i8),e_1130),
    inference(mrr,[status(thm)],[20637,317]),
    [iquote('25:MRR:20637.0,317.0')] ).

cnf(20649,plain,
    ( equal(i10,i8)
    | equal(select(a_1077,i8),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[20640,636]),
    [iquote('25:SpR:20640.0,636.1')] ).

cnf(20653,plain,
    equal(select(a_1077,i8),e_1130),
    inference(mrr,[status(thm)],[20649,318]),
    [iquote('25:MRR:20649.0,318.0')] ).

cnf(20680,plain,
    ( equal(i9,i8)
    | equal(select(a_1076,i8),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[20653,686]),
    [iquote('25:SpR:20653.0,686.1')] ).

cnf(20683,plain,
    ( equal(i9,i8)
    | equal(e_1130,e8) ),
    inference(rew,[status(thm),theory(equality)],[606,20680]),
    [iquote('25:Rew:606.0,20680.1')] ).

cnf(20684,plain,
    $false,
    inference(mrr,[status(thm)],[20683,319,19954]),
    [iquote('25:MRR:20683.0,20683.1,319.0,19954.0')] ).

cnf(20687,plain,
    ~ equal(i_1129,i8),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[20684,19715]),
    [iquote('25:Spt:20684.0,18285.0,19715.0')] ).

cnf(20688,plain,
    equal(select(a_1109,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[18285]),
    [iquote('25:Spt:20684.0,18285.1')] ).

cnf(20694,plain,
    ( equal(i_1129,i20)
    | equal(select(a_1108,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[20688,673]),
    [iquote('25:SpR:20688.0,673.1')] ).

cnf(20698,plain,
    equal(select(a_1108,i_1129),e_1131),
    inference(mrr,[status(thm)],[20694,11869]),
    [iquote('25:MRR:20694.0,11869.0')] ).

cnf(21229,plain,
    ( equal(i_1129,i18)
    | equal(select(a_1107,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[20698,675]),
    [iquote('25:SpR:20698.0,675.1')] ).

cnf(21233,plain,
    equal(select(a_1107,i_1129),e_1131),
    inference(mrr,[status(thm)],[21229,16448]),
    [iquote('25:MRR:21229.0,16448.0')] ).

cnf(21241,plain,
    ( equal(i_1129,i25)
    | equal(select(a_1106,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[21233,677]),
    [iquote('25:SpR:21233.0,677.1')] ).

cnf(21245,plain,
    equal(select(a_1106,i_1129),e_1131),
    inference(mrr,[status(thm)],[21241,7536]),
    [iquote('25:MRR:21241.0,7536.0')] ).

cnf(21253,plain,
    ( equal(i_1129,i15)
    | equal(select(a_1105,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[21245,679]),
    [iquote('25:SpR:21245.0,679.1')] ).

cnf(21257,plain,
    equal(select(a_1105,i_1129),e_1131),
    inference(mrr,[status(thm)],[21253,19194]),
    [iquote('25:MRR:21253.0,19194.0')] ).

cnf(21283,plain,
    ( equal(i_1129,i2)
    | equal(select(a_1104,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[21257,681]),
    [iquote('25:SpR:21257.0,681.1')] ).

cnf(21289,plain,
    equal(i_1129,i13),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[19691]),
    [iquote('26:Spt:19691.0')] ).

cnf(21316,plain,
    equal(select(a_1081,i13),e_1130),
    inference(rew,[status(thm),theory(equality)],[21289,19205]),
    [iquote('26:Rew:21289.0,19205.0')] ).

cnf(21555,plain,
    ( equal(i13,i2)
    | equal(select(a_1104,i_1129),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[21289,21283]),
    [iquote('26:Rew:21289.0,21283.0')] ).

cnf(21559,plain,
    equal(e_1130,e13),
    inference(rew,[status(thm),theory(equality)],[628,21316]),
    [iquote('26:Rew:628.0,21316.0')] ).

cnf(21560,plain,
    ~ equal(e_1131,e13),
    inference(rew,[status(thm),theory(equality)],[21559,502]),
    [iquote('26:Rew:21559.0,502.0')] ).

cnf(21598,plain,
    ( equal(i13,i2)
    | equal(select(a_1104,i13),e_1131) ),
    inference(rew,[status(thm),theory(equality)],[21289,21555]),
    [iquote('26:Rew:21289.0,21555.1')] ).

cnf(21599,plain,
    equal(select(a_1104,i13),e_1131),
    inference(mrr,[status(thm)],[21598,462]),
    [iquote('26:MRR:21598.0,462.0')] ).

cnf(22309,plain,
    ( equal(i30,i13)
    | equal(select(a_1103,i13),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[21599,683]),
    [iquote('26:SpR:21599.0,683.1')] ).

cnf(22312,plain,
    equal(select(a_1103,i13),e_1131),
    inference(mrr,[status(thm)],[22309,203]),
    [iquote('26:MRR:22309.0,203.0')] ).

cnf(22339,plain,
    ( equal(i13,i9)
    | equal(select(a_1102,i13),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[22312,685]),
    [iquote('26:SpR:22312.0,685.1')] ).

cnf(22342,plain,
    equal(select(a_1102,i13),e_1131),
    inference(mrr,[status(thm)],[22339,294]),
    [iquote('26:MRR:22339.0,294.0')] ).

cnf(22351,plain,
    ( equal(i13,i4)
    | equal(select(a_1101,i13),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[22342,687]),
    [iquote('26:SpR:22342.0,687.1')] ).

cnf(22354,plain,
    equal(select(a_1101,i13),e_1131),
    inference(mrr,[status(thm)],[22351,409]),
    [iquote('26:MRR:22351.0,409.0')] ).

cnf(22363,plain,
    ( equal(i19,i13)
    | equal(select(a_1100,i13),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[22354,689]),
    [iquote('26:SpR:22354.0,689.1')] ).

cnf(22366,plain,
    equal(select(a_1100,i13),e_1131),
    inference(mrr,[status(thm)],[22363,214]),
    [iquote('26:MRR:22363.0,214.0')] ).

cnf(22375,plain,
    ( equal(i13,i1)
    | equal(select(a_1099,i13),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[22366,691]),
    [iquote('26:SpR:22366.0,691.1')] ).

cnf(22378,plain,
    ( equal(i13,i1)
    | equal(e_1131,e13) ),
    inference(rew,[status(thm),theory(equality)],[627,22375]),
    [iquote('26:Rew:627.0,22375.1')] ).

cnf(22379,plain,
    $false,
    inference(mrr,[status(thm)],[22378,490,21560]),
    [iquote('26:MRR:22378.0,22378.1,490.0,21560.0')] ).

cnf(22382,plain,
    ~ equal(i_1129,i13),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[22379,21289]),
    [iquote('26:Spt:22379.0,19691.0,21289.0')] ).

cnf(22383,plain,
    equal(select(a_1080,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[19691]),
    [iquote('26:Spt:22379.0,19691.1')] ).

cnf(22389,plain,
    ( equal(i_1129,i12)
    | equal(select(a_1079,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[22383,650]),
    [iquote('26:SpR:22383.0,650.1')] ).

cnf(22394,plain,
    equal(select(a_1079,i_1129),e_1130),
    inference(mrr,[status(thm)],[22389,6842]),
    [iquote('26:MRR:22389.0,6842.0')] ).

cnf(23003,plain,
    ( equal(i_1129,i11)
    | equal(select(a_1078,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[22394,666]),
    [iquote('26:SpR:22394.0,666.1')] ).

cnf(23008,plain,
    equal(select(a_1078,i_1129),e_1130),
    inference(mrr,[status(thm)],[23003,15304]),
    [iquote('26:MRR:23003.0,15304.0')] ).

cnf(23016,plain,
    ( equal(i_1129,i10)
    | equal(select(a_1077,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[23008,636]),
    [iquote('26:SpR:23008.0,636.1')] ).

cnf(23021,plain,
    equal(select(a_1077,i_1129),e_1130),
    inference(mrr,[status(thm)],[23016,1282]),
    [iquote('26:MRR:23016.0,1282.0')] ).

cnf(23029,plain,
    ( equal(i_1129,i9)
    | equal(select(a_1076,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[23021,686]),
    [iquote('26:SpR:23021.0,686.1')] ).

cnf(23053,plain,
    equal(i_1129,i2),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[21283]),
    [iquote('27:Spt:21283.0')] ).

cnf(23081,plain,
    equal(select(a_1105,i2),e_1131),
    inference(rew,[status(thm),theory(equality)],[23053,21257]),
    [iquote('27:Rew:23053.0,21257.0')] ).

cnf(23348,plain,
    ( equal(i9,i2)
    | equal(select(a_1076,i_1129),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[23053,23029]),
    [iquote('27:Rew:23053.0,23029.0')] ).

cnf(23353,plain,
    equal(e_1131,e2),
    inference(rew,[status(thm),theory(equality)],[615,23081]),
    [iquote('27:Rew:615.0,23081.0')] ).

cnf(23354,plain,
    ~ equal(e_1130,e2),
    inference(rew,[status(thm),theory(equality)],[23353,502]),
    [iquote('27:Rew:23353.0,502.0')] ).

cnf(23398,plain,
    ( equal(i9,i2)
    | equal(select(a_1076,i2),e_1130) ),
    inference(rew,[status(thm),theory(equality)],[23053,23348]),
    [iquote('27:Rew:23053.0,23348.1')] ).

cnf(23399,plain,
    equal(select(a_1076,i2),e_1130),
    inference(mrr,[status(thm)],[23398,466]),
    [iquote('27:MRR:23398.0,466.0')] ).

cnf(24209,plain,
    ( equal(i8,i2)
    | equal(select(a_1075,i2),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[23399,672]),
    [iquote('27:SpR:23399.0,672.1')] ).

cnf(24212,plain,
    equal(select(a_1075,i2),e_1130),
    inference(mrr,[status(thm)],[24209,467]),
    [iquote('27:MRR:24209.0,467.0')] ).

cnf(24221,plain,
    ( equal(i7,i2)
    | equal(select(a_1074,i2),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[24212,638]),
    [iquote('27:SpR:24212.0,638.1')] ).

cnf(24225,plain,
    equal(select(a_1074,i2),e_1130),
    inference(mrr,[status(thm)],[24221,468]),
    [iquote('27:MRR:24221.0,468.0')] ).

cnf(24252,plain,
    ( equal(i6,i2)
    | equal(select(a_1073,i2),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[24225,668]),
    [iquote('27:SpR:24225.0,668.1')] ).

cnf(24256,plain,
    equal(select(a_1073,i2),e_1130),
    inference(mrr,[status(thm)],[24252,469]),
    [iquote('27:MRR:24252.0,469.0')] ).

cnf(24265,plain,
    ( equal(i5,i2)
    | equal(select(a_1072,i2),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[24256,660]),
    [iquote('27:SpR:24256.0,660.1')] ).

cnf(24269,plain,
    equal(select(a_1072,i2),e_1130),
    inference(mrr,[status(thm)],[24265,470]),
    [iquote('27:MRR:24265.0,470.0')] ).

cnf(24278,plain,
    ( equal(i4,i2)
    | equal(select(a_1071,i2),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[24269,688]),
    [iquote('27:SpR:24269.0,688.1')] ).

cnf(24281,plain,
    equal(select(a_1071,i2),e_1130),
    inference(mrr,[status(thm)],[24278,471]),
    [iquote('27:MRR:24278.0,471.0')] ).

cnf(24290,plain,
    ( equal(i3,i2)
    | equal(select(a_1070,i2),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[24281,652]),
    [iquote('27:SpR:24281.0,652.1')] ).

cnf(24294,plain,
    ( equal(i3,i2)
    | equal(e_1130,e2) ),
    inference(rew,[status(thm),theory(equality)],[616,24290]),
    [iquote('27:Rew:616.0,24290.1')] ).

cnf(24295,plain,
    $false,
    inference(mrr,[status(thm)],[24294,472,23354]),
    [iquote('27:MRR:24294.0,24294.1,472.0,23354.0')] ).

cnf(24298,plain,
    ~ equal(i_1129,i2),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[24295,23053]),
    [iquote('27:Spt:24295.0,21283.0,23053.0')] ).

cnf(24299,plain,
    equal(select(a_1104,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[21283]),
    [iquote('27:Spt:24295.0,21283.1')] ).

cnf(24305,plain,
    ( equal(i_1129,i30)
    | equal(select(a_1103,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[24299,683]),
    [iquote('27:SpR:24299.0,683.1')] ).

cnf(24309,plain,
    equal(select(a_1103,i_1129),e_1131),
    inference(mrr,[status(thm)],[24305,3101]),
    [iquote('27:MRR:24305.0,3101.0')] ).

cnf(24990,plain,
    ( equal(i_1129,i9)
    | equal(select(a_1102,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[24309,685]),
    [iquote('27:SpR:24309.0,685.1')] ).

cnf(24996,plain,
    equal(i_1129,i9),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[23029]),
    [iquote('28:Spt:23029.0')] ).

cnf(25025,plain,
    equal(select(a_1077,i9),e_1130),
    inference(rew,[status(thm),theory(equality)],[24996,23021]),
    [iquote('28:Rew:24996.0,23021.0')] ).

cnf(25074,plain,
    equal(select(a_1103,i9),e_1131),
    inference(rew,[status(thm),theory(equality)],[24996,24309]),
    [iquote('28:Rew:24996.0,24309.0')] ).

cnf(25313,plain,
    equal(e_1130,e9),
    inference(rew,[status(thm),theory(equality)],[620,25025]),
    [iquote('28:Rew:620.0,25025.0')] ).

cnf(25314,plain,
    ~ equal(e_1131,e9),
    inference(rew,[status(thm),theory(equality)],[25313,502]),
    [iquote('28:Rew:25313.0,502.0')] ).

cnf(25356,plain,
    equal(e_1131,e9),
    inference(rew,[status(thm),theory(equality)],[619,25074]),
    [iquote('28:Rew:619.0,25074.0')] ).

cnf(25357,plain,
    $false,
    inference(mrr,[status(thm)],[25356,25314]),
    [iquote('28:MRR:25356.0,25314.0')] ).

cnf(25498,plain,
    ~ equal(i_1129,i9),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[25357,24996]),
    [iquote('28:Spt:25357.0,23029.0,24996.0')] ).

cnf(25499,plain,
    equal(select(a_1076,i_1129),e_1130),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[23029]),
    [iquote('28:Spt:25357.0,23029.1')] ).

cnf(25500,plain,
    equal(select(a_1102,i_1129),e_1131),
    inference(mrr,[status(thm)],[24990,25498]),
    [iquote('28:MRR:24990.0,25498.0')] ).

cnf(25506,plain,
    ( equal(i_1129,i8)
    | equal(select(a_1075,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[25499,672]),
    [iquote('28:SpR:25499.0,672.1')] ).

cnf(25511,plain,
    equal(select(a_1075,i_1129),e_1130),
    inference(mrr,[status(thm)],[25506,20687]),
    [iquote('28:MRR:25506.0,20687.0')] ).

cnf(26236,plain,
    ( equal(i_1129,i4)
    | equal(select(a_1101,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[25500,687]),
    [iquote('28:SpR:25500.0,687.1')] ).

cnf(26247,plain,
    ( equal(i_1129,i7)
    | equal(select(a_1074,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[25511,638]),
    [iquote('28:SpR:25511.0,638.1')] ).

cnf(26252,plain,
    equal(select(a_1074,i_1129),e_1130),
    inference(mrr,[status(thm)],[26247,2272]),
    [iquote('28:MRR:26247.0,2272.0')] ).

cnf(26260,plain,
    ( equal(i_1129,i6)
    | equal(select(a_1073,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[26252,668]),
    [iquote('28:SpR:26252.0,668.1')] ).

cnf(26265,plain,
    equal(select(a_1073,i_1129),e_1130),
    inference(mrr,[status(thm)],[26260,17829]),
    [iquote('28:MRR:26260.0,17829.0')] ).

cnf(26290,plain,
    ( equal(i_1129,i5)
    | equal(select(a_1072,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[26265,660]),
    [iquote('28:SpR:26265.0,660.1')] ).

cnf(26295,plain,
    equal(select(a_1072,i_1129),e_1130),
    inference(mrr,[status(thm)],[26290,10870]),
    [iquote('28:MRR:26290.0,10870.0')] ).

cnf(26303,plain,
    ( equal(i_1129,i4)
    | equal(select(a_1071,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[26295,688]),
    [iquote('28:SpR:26295.0,688.1')] ).

cnf(26309,plain,
    equal(i_1129,i4),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[26236]),
    [iquote('29:Spt:26236.0')] ).

cnf(26390,plain,
    equal(select(a_1102,i4),e_1131),
    inference(rew,[status(thm),theory(equality)],[26309,25500]),
    [iquote('29:Rew:26309.0,25500.0')] ).

cnf(26394,plain,
    equal(select(a_1072,i4),e_1130),
    inference(rew,[status(thm),theory(equality)],[26309,26295]),
    [iquote('29:Rew:26309.0,26295.0')] ).

cnf(26666,plain,
    equal(e_1131,e4),
    inference(rew,[status(thm),theory(equality)],[621,26390]),
    [iquote('29:Rew:621.0,26390.0')] ).

cnf(26667,plain,
    ~ equal(e_1130,e4),
    inference(rew,[status(thm),theory(equality)],[26666,502]),
    [iquote('29:Rew:26666.0,502.0')] ).

cnf(26714,plain,
    equal(e_1130,e4),
    inference(rew,[status(thm),theory(equality)],[622,26394]),
    [iquote('29:Rew:622.0,26394.0')] ).

cnf(26715,plain,
    $false,
    inference(mrr,[status(thm)],[26714,26667]),
    [iquote('29:MRR:26714.0,26667.0')] ).

cnf(26884,plain,
    ~ equal(i_1129,i4),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[26715,26309]),
    [iquote('29:Spt:26715.0,26236.0,26309.0')] ).

cnf(26885,plain,
    equal(select(a_1101,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[26236]),
    [iquote('29:Spt:26715.0,26236.1')] ).

cnf(26886,plain,
    equal(select(a_1071,i_1129),e_1130),
    inference(mrr,[status(thm)],[26303,26884]),
    [iquote('29:MRR:26303.0,26884.0')] ).

cnf(26892,plain,
    ( equal(i_1129,i19)
    | equal(select(a_1100,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[26885,689]),
    [iquote('29:SpR:26885.0,689.1')] ).

cnf(26896,plain,
    equal(select(a_1100,i_1129),e_1131),
    inference(mrr,[status(thm)],[26892,14132]),
    [iquote('29:MRR:26892.0,14132.0')] ).

cnf(27715,plain,
    ( equal(i_1129,i3)
    | equal(select(a_1070,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[26886,652]),
    [iquote('29:SpR:26886.0,652.1')] ).

cnf(27720,plain,
    equal(select(a_1070,i_1129),e_1130),
    inference(mrr,[status(thm)],[27715,8447]),
    [iquote('29:MRR:27715.0,8447.0')] ).

cnf(27746,plain,
    ( equal(i_1129,i1)
    | equal(select(a_1099,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[26896,691]),
    [iquote('29:SpR:26896.0,691.1')] ).

cnf(27757,plain,
    ( equal(i_1129,i2)
    | equal(select(a_1069,i_1129),e_1130) ),
    inference(spr,[status(thm),theory(equality)],[27720,682]),
    [iquote('29:SpR:27720.0,682.1')] ).

cnf(27762,plain,
    equal(select(a_1069,i_1129),e_1130),
    inference(mrr,[status(thm)],[27757,24298]),
    [iquote('29:MRR:27757.0,24298.0')] ).

cnf(27775,plain,
    equal(i_1129,i1),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[27746]),
    [iquote('30:Spt:27746.0')] ).

cnf(27864,plain,
    equal(select(a_1100,i1),e_1131),
    inference(rew,[status(thm),theory(equality)],[27775,26896]),
    [iquote('30:Rew:27775.0,26896.0')] ).

cnf(27866,plain,
    equal(select(a_1069,i1),e_1130),
    inference(rew,[status(thm),theory(equality)],[27775,27762]),
    [iquote('30:Rew:27775.0,27762.0')] ).

cnf(28166,plain,
    equal(e_1131,e1),
    inference(rew,[status(thm),theory(equality)],[625,27864]),
    [iquote('30:Rew:625.0,27864.0')] ).

cnf(28167,plain,
    ~ equal(e_1130,e1),
    inference(rew,[status(thm),theory(equality)],[28166,502]),
    [iquote('30:Rew:28166.0,502.0')] ).

cnf(28216,plain,
    equal(e_1130,e1),
    inference(rew,[status(thm),theory(equality)],[626,27866]),
    [iquote('30:Rew:626.0,27866.0')] ).

cnf(28217,plain,
    $false,
    inference(mrr,[status(thm)],[28216,28167]),
    [iquote('30:MRR:28216.0,28167.0')] ).

cnf(28401,plain,
    ~ equal(i_1129,i1),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2sa)])],[28217,27775]),
    [iquote('30:Spt:28217.0,27746.0,27775.0')] ).

cnf(28402,plain,
    equal(select(a_1099,i_1129),e_1131),
    inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[27746]),
    [iquote('30:Spt:28217.0,27746.1')] ).

cnf(28408,plain,
    ( equal(i_1129,i13)
    | equal(select(a1,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[28402,693]),
    [iquote('30:SpR:28402.0,693.1')] ).

cnf(28412,plain,
    equal(select(a1,i_1129),e_1131),
    inference(mrr,[status(thm)],[28408,22382]),
    [iquote('30:MRR:28408.0,22382.0')] ).

cnf(29308,plain,
    ( equal(i_1129,i1)
    | equal(select(a_1069,i_1129),e_1131) ),
    inference(spr,[status(thm),theory(equality)],[28412,692]),
    [iquote('30:SpR:28412.0,692.1')] ).

cnf(29312,plain,
    ( equal(i_1129,i1)
    | equal(e_1131,e_1130) ),
    inference(rew,[status(thm),theory(equality)],[27762,29308]),
    [iquote('30:Rew:27762.0,29308.1')] ).

cnf(29313,plain,
    $false,
    inference(mrr,[status(thm)],[29312,28401,502]),
    [iquote('30:MRR:29312.0,29312.1,28401.0,502.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem  : SWV527-1.030 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.08  % Command  : run_spass %d %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 600
% 0.08/0.27  % DateTime : Wed Jun 15 06:22:13 EDT 2022
% 0.08/0.27  % CPUTime  : 
% 26.56/26.79  
% 26.56/26.79  SPASS V 3.9 
% 26.56/26.79  SPASS beiseite: Proof found.
% 26.56/26.79  % SZS status Theorem
% 26.56/26.79  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 26.56/26.79  SPASS derived 23249 clauses, backtracked 4935 clauses, performed 30 splits and kept 12972 clauses.
% 26.56/26.79  SPASS allocated 89838 KBytes.
% 26.56/26.79  SPASS spent	0:0:26.49 on the problem.
% 26.56/26.79  		0:00:00.03 for the input.
% 26.56/26.79  		0:00:00.00 for the FLOTTER CNF translation.
% 26.56/26.79  		0:00:00.26 for inferences.
% 26.56/26.79  		0:00:00.55 for the backtracking.
% 26.56/26.79  		0:0:25.46 for the reduction.
% 26.56/26.79  
% 26.56/26.79  
% 26.56/26.79  Here is a proof with depth 48, length 1247 :
% 26.56/26.79  % SZS output start Refutation
% See solution above
% 26.56/26.80  Formulae used in the proof : a1 a2 hyp0 hyp1 hyp2 hyp3 hyp4 hyp5 hyp6 hyp7 hyp8 hyp9 hyp10 hyp11 hyp12 hyp13 hyp14 hyp15 hyp16 hyp17 hyp18 hyp19 hyp20 hyp21 hyp22 hyp23 hyp24 hyp25 hyp26 hyp27 hyp28 hyp29 hyp30 hyp31 hyp32 hyp33 hyp34 hyp35 hyp36 hyp37 hyp38 hyp39 hyp40 hyp41 hyp42 hyp43 hyp44 hyp45 hyp46 hyp47 hyp48 hyp49 hyp50 hyp51 hyp52 hyp53 hyp54 hyp55 hyp56 hyp57 hyp58 hyp59 hyp60 hyp61 hyp63 hyp64 hyp65 hyp66 hyp67 hyp69 hyp70 hyp72 hyp73 hyp74 hyp76 hyp77 hyp78 hyp79 hyp80 hyp81 hyp82 hyp83 hyp84 hyp85 hyp86 hyp87 hyp88 hyp89 hyp90 hyp91 hyp92 hyp95 hyp96 hyp99 hyp100 hyp104 hyp108 hyp113 hyp117 hyp118 hyp123 hyp127 hyp128 hyp129 hyp134 hyp138 hyp139 hyp140 hyp141 hyp142 hyp143 hyp144 hyp145 hyp146 hyp147 hyp148 hyp149 hyp150 hyp151 hyp152 hyp153 hyp154 hyp155 hyp157 hyp158 hyp159 hyp160 hyp161 hyp162 hyp163 hyp164 hyp165 hyp166 hyp167 hyp168 hyp173 hyp178 hyp179 hyp180 hyp183 hyp188 hyp192 hyp193 hyp194 hyp195 hyp196 hyp197 hyp198 hyp199 hyp210 hyp216 hyp217 hyp219 hyp220 hyp221 hyp222 hyp223 hyp224 hyp225 hyp226 hyp227 hyp228 hyp229 hyp230 hyp231 hyp232 hyp233 hyp234 hyp239 hyp243 hyp244 hyp245 hyp246 hyp247 hyp248 hyp249 hyp250 hyp251 hyp252 hyp253 hyp254 hyp255 hyp256 hyp257 hyp258 hyp259 hyp260 hyp261 hyp262 hyp263 hyp264 hyp265 hyp266 hyp267 hyp268 hyp269 hyp270 hyp271 hyp272 hyp284 hyp290 hyp294 hyp299 hyp304 hyp305 hyp306 hyp309 hyp311 hyp312 hyp313 hyp314 hyp315 hyp316 hyp317 hyp318 hyp319 hyp320 hyp321 hyp322 hyp323 hyp324 hyp325 hyp326 hyp327 hyp328 hyp329 hyp330 hyp331 hyp332 hyp333 hyp334 hyp335 hyp336 hyp337 hyp338 hyp339 hyp344 hyp348 hyp349 hyp350 hyp351 hyp354 hyp355 hyp356 hyp357 hyp358 hyp359 hyp360 hyp361 hyp362 hyp363 hyp364 hyp368 hyp372 hyp373 hyp374 hyp375 hyp376 hyp377 hyp378 hyp379 hyp380 hyp381 hyp382 hyp383 hyp384 hyp385 hyp386 hyp387 hyp399 hyp405 hyp414 hyp415 hyp417 hyp418 hyp419 hyp422 hyp423 hyp424 hyp425 hyp426 hyp427 hyp428 hyp429 hyp430 hyp431 hyp432 hyp433 hyp434 hyp435 hyp436 hyp437 hyp438 hyp439 hyp440 hyp441 hyp452 hyp458 hyp462 hyp463 hyp464 hyp465 hyp466 hyp467 hyp468 hyp486 goal
% 27.02/27.28  
%------------------------------------------------------------------------------