TSTP Solution File: SWV568-1.040 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV568-1.040 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 21:44:20 EDT 2022

% Result   : Unsatisfiable 5.33s 5.50s
% Output   : Refutation 5.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   84
%            Number of leaves      :  335
% Syntax   : Number of clauses     : 1033 ( 979 unt;  54 nHn;1033 RR)
%            Number of literals    : 1114 (   0 equ;  83 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :   27 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  353 ( 353 usr; 344 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(select(store(u,v,w),v),w),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(2,axiom,
    ( equal(u,v)
    | equal(select(store(w,u,x),v),select(w,v)) ),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(3,axiom,
    equal(rselect_seq(rstore_seq(u,v)),v),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(4,axiom,
    equal(rselect_head(rstore_head(u,v)),v),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(5,axiom,
    equal(rselect_tail(rstore_tail(u,v)),v),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(6,axiom,
    equal(rselect_seq(rstore_head(u,v)),rselect_seq(u)),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(7,axiom,
    equal(rselect_seq(rstore_tail(u,v)),rselect_seq(u)),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(8,axiom,
    equal(rselect_head(rstore_tail(u,v)),rselect_head(u)),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(9,axiom,
    equal(rselect_head(rstore_seq(u,v)),rselect_head(u)),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(11,axiom,
    equal(rselect_tail(rstore_head(u,v)),rselect_tail(u)),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(52,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(53,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(54,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(55,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(56,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(57,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(58,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(59,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(60,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(61,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(62,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(63,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(64,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(65,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(66,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(67,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(u))))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(68,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(u)))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(69,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(u))))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(70,axiom,
    ~ equal(s(s(s(s(s(s(s(s(u)))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(71,axiom,
    ~ equal(s(s(s(s(s(s(s(u))))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(72,axiom,
    ~ equal(s(s(s(s(s(s(u)))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(73,axiom,
    ~ equal(s(s(s(s(s(u))))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(74,axiom,
    ~ equal(s(s(s(s(u)))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(75,axiom,
    ~ equal(s(s(s(u))),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(76,axiom,
    ~ equal(s(s(u)),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(77,axiom,
    ~ equal(s(u),u),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(79,axiom,
    equal(store(earray_98,index_99,e21),earray_100),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(80,axiom,
    equal(rselect_seq(q22),earray_104),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(81,axiom,
    equal(store(earray_104,index_105,e22),earray_106),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(82,axiom,
    equal(rselect_seq(q23),earray_110),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(83,axiom,
    equal(store(earray_110,index_111,e23),earray_112),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(84,axiom,
    equal(rselect_seq(q24),earray_119),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(85,axiom,
    equal(store(earray_119,index_120,e24),earray_121),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(86,axiom,
    equal(rselect_seq(q25),earray_125),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(87,axiom,
    equal(store(earray_125,index_126,e25),earray_127),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(88,axiom,
    equal(rselect_seq(q26),earray_131),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(89,axiom,
    equal(store(earray_131,index_132,e26),earray_133),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(91,axiom,
    equal(rselect_seq(q27),earray_140),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(92,axiom,
    equal(store(earray_140,index_141,e27),earray_142),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(93,axiom,
    equal(rselect_seq(q28),earray_146),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(94,axiom,
    equal(store(earray_146,index_147,e28),earray_148),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(98,axiom,
    equal(rselect_seq(q29),earray_161),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(99,axiom,
    equal(store(earray_161,index_162,e29),earray_163),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(100,axiom,
    equal(rselect_seq(q30),earray_170),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(101,axiom,
    equal(store(earray_170,index_171,e30),earray_172),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(102,axiom,
    equal(rselect_seq(q31),earray_176),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(103,axiom,
    equal(store(earray_176,index_177,e31),earray_178),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(104,axiom,
    equal(rselect_seq(q32),earray_182),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(105,axiom,
    equal(store(earray_182,index_183,e32),earray_184),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(106,axiom,
    equal(rselect_seq(q33),earray_191),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(107,axiom,
    equal(store(earray_191,index_192,e33),earray_193),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(108,axiom,
    equal(rselect_seq(q34),earray_197),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(109,axiom,
    equal(store(earray_197,index_198,e34),earray_199),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(112,axiom,
    equal(rselect_seq(q35),earray_203),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(113,axiom,
    equal(store(earray_203,index_204,e35),earray_205),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(114,axiom,
    equal(rselect_seq(q36),earray_212),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(115,axiom,
    equal(store(earray_212,index_213,e36),earray_214),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(116,axiom,
    equal(rselect_seq(q37),earray_218),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(118,axiom,
    equal(store(earray_218,index_219,e37),earray_220),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(119,axiom,
    equal(rselect_seq(q38),earray_224),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(120,axiom,
    equal(store(earray_224,index_225,e38),earray_226),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(123,axiom,
    equal(rselect_seq(q39),earray_239),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(124,axiom,
    equal(store(earray_239,index_240,e39),earray_241),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(135,axiom,
    equal(rselect_seq(q40),earray_281),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(138,axiom,
    equal(rselect_seq(q13),earray_35),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(139,axiom,
    equal(store(earray_35,index_36,e13),earray_37),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(141,axiom,
    equal(rselect_seq(q14),earray_41),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(142,axiom,
    equal(store(earray_41,index_42,e14),earray_43),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(143,axiom,
    equal(rselect_seq(q15),earray_50),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(144,axiom,
    equal(store(earray_50,index_51,e15),earray_52),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(145,axiom,
    equal(rselect_seq(q16),earray_56),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(146,axiom,
    equal(store(earray_56,index_57,e16),earray_58),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(147,axiom,
    equal(rselect_seq(q17),earray_62),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(148,axiom,
    equal(store(earray_62,index_63,e17),earray_64),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(149,axiom,
    equal(rselect_seq(q18),earray_71),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(150,axiom,
    equal(store(earray_71,index_72,e18),earray_73),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(154,axiom,
    equal(rselect_seq(q19),earray_83),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(155,axiom,
    equal(store(earray_83,index_84,e19),earray_85),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(156,axiom,
    equal(rselect_seq(q20),earray_89),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(157,axiom,
    equal(store(earray_89,index_90,e20),earray_91),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(158,axiom,
    equal(rselect_seq(q21),earray_98),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(159,axiom,
    equal(select(earray_281,index_282),elem_283),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(160,axiom,
    equal(rselect_tail(q),index_0),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(161,axiom,
    equal(s(index_99),index_102),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(162,axiom,
    equal(rselect_tail(q22),index_105),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(163,axiom,
    equal(s(index_105),index_108),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(164,axiom,
    equal(rselect_tail(q23),index_111),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(165,axiom,
    equal(s(index_111),index_114),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(166,axiom,
    equal(rselect_head(queue_115),index_116),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(167,axiom,
    equal(s(index_116),index_117),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(168,axiom,
    equal(s(index_9),index_12),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(169,axiom,
    equal(rselect_tail(q24),index_120),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(170,axiom,
    equal(s(index_120),index_123),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(171,axiom,
    equal(rselect_tail(q25),index_126),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(172,axiom,
    equal(s(index_126),index_129),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(173,axiom,
    equal(rselect_tail(q26),index_132),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(174,axiom,
    equal(s(index_132),index_135),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(175,axiom,
    equal(rselect_head(queue_136),index_137),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(176,axiom,
    equal(s(index_137),index_138),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(177,axiom,
    equal(rselect_tail(q27),index_141),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(178,axiom,
    equal(s(index_141),index_144),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(179,axiom,
    equal(rselect_tail(q28),index_147),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(180,axiom,
    equal(rselect_tail(q10),index_15),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(181,axiom,
    equal(s(index_147),index_150),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(182,axiom,
    equal(rselect_tail(q2),index_153),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(183,axiom,
    equal(s(index_153),index_156),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(184,axiom,
    equal(rselect_head(queue_157),index_158),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(185,axiom,
    equal(s(index_158),index_159),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(186,axiom,
    equal(rselect_tail(q29),index_162),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(187,axiom,
    equal(s(index_162),index_165),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(188,axiom,
    equal(rselect_head(queue_166),index_167),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(189,axiom,
    equal(s(index_167),index_168),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(190,axiom,
    equal(rselect_tail(q30),index_171),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(191,axiom,
    equal(s(index_171),index_174),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(192,axiom,
    equal(rselect_tail(q31),index_177),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(193,axiom,
    equal(s(index_15),index_18),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(194,axiom,
    equal(s(index_177),index_180),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(195,axiom,
    equal(rselect_tail(q32),index_183),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(196,axiom,
    equal(s(index_183),index_186),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(197,axiom,
    equal(rselect_head(queue_187),index_188),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(198,axiom,
    equal(s(index_188),index_189),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(199,axiom,
    equal(rselect_tail(q33),index_192),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(200,axiom,
    equal(s(index_192),index_195),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(201,axiom,
    equal(rselect_tail(q34),index_198),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(202,axiom,
    equal(s(index_198),index_201),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(203,axiom,
    equal(rselect_tail(q35),index_204),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(204,axiom,
    equal(s(index_204),index_207),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(205,axiom,
    equal(rselect_head(queue_208),index_209),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(206,axiom,
    equal(rselect_tail(q11),index_21),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(207,axiom,
    equal(s(index_209),index_210),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(208,axiom,
    equal(rselect_tail(q36),index_213),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(209,axiom,
    equal(s(index_213),index_216),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(210,axiom,
    equal(rselect_tail(q37),index_219),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(211,axiom,
    equal(s(index_219),index_222),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(212,axiom,
    equal(rselect_tail(q38),index_225),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(213,axiom,
    equal(s(index_225),index_228),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(214,axiom,
    equal(rselect_head(queue_229),index_230),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(215,axiom,
    equal(s(index_230),index_231),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(216,axiom,
    equal(rselect_tail(q3),index_234),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(217,axiom,
    equal(s(index_234),index_237),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(218,axiom,
    equal(s(index_21),index_24),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(219,axiom,
    equal(rselect_tail(q39),index_240),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(221,axiom,
    equal(rselect_tail(q4),index_246),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(222,axiom,
    equal(s(index_246),index_249),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(223,axiom,
    equal(rselect_tail(q5),index_252),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(224,axiom,
    equal(s(index_252),index_255),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(225,axiom,
    equal(rselect_head(queue_256),index_257),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(226,axiom,
    equal(s(index_257),index_258),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(227,axiom,
    equal(rselect_head(queue_25),index_26),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(228,axiom,
    equal(rselect_tail(q6),index_261),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(229,axiom,
    equal(s(index_261),index_264),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(230,axiom,
    equal(rselect_tail(q7),index_267),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(231,axiom,
    equal(s(index_26),index_27),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(232,axiom,
    equal(s(index_267),index_270),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(233,axiom,
    equal(rselect_tail(q8),index_273),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(234,axiom,
    equal(s(index_273),index_276),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(235,axiom,
    equal(rselect_head(queue_277),index_278),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(236,axiom,
    equal(s(index_278),index_279),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(237,axiom,
    equal(rselect_head(q40),index_282),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(238,axiom,
    equal(rselect_tail(q0),index_3),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(239,axiom,
    equal(rselect_tail(q12),index_30),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(240,axiom,
    equal(s(index_30),index_33),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(241,axiom,
    equal(rselect_tail(q13),index_36),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(242,axiom,
    equal(s(index_36),index_39),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(243,axiom,
    equal(rselect_tail(q14),index_42),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(244,axiom,
    equal(s(index_42),index_45),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(245,axiom,
    equal(rselect_head(queue_46),index_47),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(246,axiom,
    equal(s(index_47),index_48),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(247,axiom,
    equal(rselect_tail(q15),index_51),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(248,axiom,
    equal(s(index_51),index_54),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(249,axiom,
    equal(rselect_tail(q16),index_57),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(250,axiom,
    equal(s(index_3),index_6),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(251,axiom,
    equal(s(index_57),index_60),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(252,axiom,
    equal(rselect_tail(q17),index_63),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(253,axiom,
    equal(s(index_63),index_66),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(254,axiom,
    equal(rselect_head(queue_67),index_68),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(255,axiom,
    equal(s(index_68),index_69),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(256,axiom,
    equal(rselect_tail(q18),index_72),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(257,axiom,
    equal(s(index_72),index_75),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(258,axiom,
    equal(rselect_tail(q1),index_78),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(259,axiom,
    equal(s(index_78),index_81),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(260,axiom,
    equal(rselect_tail(q19),index_84),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(261,axiom,
    equal(s(index_84),index_87),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(262,axiom,
    equal(rselect_tail(q9),index_9),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(263,axiom,
    equal(rselect_tail(q20),index_90),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(264,axiom,
    equal(s(index_90),index_93),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(265,axiom,
    equal(rselect_head(queue_94),index_95),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(266,axiom,
    equal(s(index_95),index_96),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(267,axiom,
    equal(rselect_tail(q21),index_99),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(268,axiom,
    equal(rstore_head(q,index_0),queue_1),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(269,axiom,
    equal(rstore_seq(q21,earray_100),queue_101),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(270,axiom,
    equal(rstore_tail(queue_101,index_102),queue_103),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(271,axiom,
    equal(rstore_seq(q22,earray_106),queue_107),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(272,axiom,
    equal(rstore_tail(queue_107,index_108),queue_109),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(273,axiom,
    equal(rstore_seq(q9,earray_10),queue_11),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(274,axiom,
    equal(rstore_seq(q23,earray_112),queue_113),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(275,axiom,
    equal(rstore_tail(queue_113,index_114),queue_115),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(276,axiom,
    equal(rstore_head(queue_115,index_117),queue_118),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(277,axiom,
    equal(rstore_seq(q24,earray_121),queue_122),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(278,axiom,
    equal(rstore_tail(queue_122,index_123),queue_124),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(279,axiom,
    equal(rstore_seq(q25,earray_127),queue_128),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(280,axiom,
    equal(rstore_tail(queue_11,index_12),queue_13),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(281,axiom,
    equal(rstore_tail(queue_128,index_129),queue_130),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(282,axiom,
    equal(rstore_seq(q26,earray_133),queue_134),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(283,axiom,
    equal(rstore_tail(queue_134,index_135),queue_136),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(284,axiom,
    equal(rstore_head(queue_136,index_138),queue_139),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(285,axiom,
    equal(rstore_seq(q27,earray_142),queue_143),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(286,axiom,
    equal(rstore_tail(queue_143,index_144),queue_145),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(287,axiom,
    equal(rstore_seq(q28,earray_148),queue_149),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(288,axiom,
    equal(rstore_tail(queue_149,index_150),queue_151),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(289,axiom,
    equal(rstore_seq(q2,earray_154),queue_155),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(290,axiom,
    equal(rstore_tail(queue_155,index_156),queue_157),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(291,axiom,
    equal(rstore_head(queue_157,index_159),queue_160),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(292,axiom,
    equal(rstore_seq(q29,earray_163),queue_164),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(293,axiom,
    equal(rstore_tail(queue_164,index_165),queue_166),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(294,axiom,
    equal(rstore_head(queue_166,index_168),queue_169),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(295,axiom,
    equal(rstore_seq(q10,earray_16),queue_17),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(296,axiom,
    equal(rstore_seq(q30,earray_172),queue_173),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(297,axiom,
    equal(rstore_tail(queue_173,index_174),queue_175),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(298,axiom,
    equal(rstore_seq(q31,earray_178),queue_179),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(299,axiom,
    equal(rstore_tail(queue_179,index_180),queue_181),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(300,axiom,
    equal(rstore_seq(q32,earray_184),queue_185),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(301,axiom,
    equal(rstore_tail(queue_185,index_186),queue_187),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(302,axiom,
    equal(rstore_tail(queue_17,index_18),queue_19),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(303,axiom,
    equal(rstore_head(queue_187,index_189),queue_190),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(304,axiom,
    equal(rstore_seq(q33,earray_193),queue_194),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(305,axiom,
    equal(rstore_tail(queue_194,index_195),queue_196),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(306,axiom,
    equal(rstore_seq(q34,earray_199),queue_200),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(307,axiom,
    equal(rstore_tail(queue_200,index_201),queue_202),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(308,axiom,
    equal(rstore_seq(q35,earray_205),queue_206),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(309,axiom,
    equal(rstore_tail(queue_206,index_207),queue_208),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(310,axiom,
    equal(rstore_head(queue_208,index_210),queue_211),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(311,axiom,
    equal(rstore_seq(q36,earray_214),queue_215),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(312,axiom,
    equal(rstore_tail(queue_215,index_216),queue_217),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(313,axiom,
    equal(rstore_seq(q37,earray_220),queue_221),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(314,axiom,
    equal(rstore_tail(queue_221,index_222),queue_223),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(315,axiom,
    equal(rstore_seq(q38,earray_226),queue_227),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(316,axiom,
    equal(rstore_tail(queue_227,index_228),queue_229),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(317,axiom,
    equal(rstore_seq(q11,earray_22),queue_23),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(318,axiom,
    equal(rstore_head(queue_229,index_231),queue_232),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(319,axiom,
    equal(rstore_seq(q3,earray_235),queue_236),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(320,axiom,
    equal(rstore_tail(queue_236,index_237),queue_238),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(321,axiom,
    equal(rstore_seq(q39,earray_241),queue_242),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(322,axiom,
    equal(rstore_tail(queue_242,index_243),queue_244),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(323,axiom,
    equal(rstore_seq(q4,earray_247),queue_248),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(324,axiom,
    equal(rstore_tail(queue_23,index_24),queue_25),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(325,axiom,
    equal(rstore_tail(queue_248,index_249),queue_250),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(326,axiom,
    equal(rstore_seq(q5,earray_253),queue_254),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(327,axiom,
    equal(rstore_tail(queue_254,index_255),queue_256),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(328,axiom,
    equal(rstore_head(queue_256,index_258),queue_259),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(329,axiom,
    equal(rstore_seq(q6,earray_262),queue_263),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(330,axiom,
    equal(rstore_tail(queue_263,index_264),queue_265),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(331,axiom,
    equal(rstore_seq(q7,earray_268),queue_269),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(332,axiom,
    equal(rstore_tail(queue_269,index_270),queue_271),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(333,axiom,
    equal(rstore_seq(q8,earray_274),queue_275),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(334,axiom,
    equal(rstore_tail(queue_275,index_276),queue_277),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(335,axiom,
    equal(rstore_head(queue_25,index_27),queue_28),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(336,axiom,
    equal(rstore_head(queue_277,index_279),queue_280),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(337,axiom,
    equal(rstore_seq(q12,earray_31),queue_32),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(338,axiom,
    equal(rstore_tail(queue_32,index_33),queue_34),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(339,axiom,
    equal(rstore_seq(q13,earray_37),queue_38),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(340,axiom,
    equal(rstore_tail(queue_38,index_39),queue_40),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(341,axiom,
    equal(rstore_seq(q14,earray_43),queue_44),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(342,axiom,
    equal(rstore_tail(queue_44,index_45),queue_46),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(343,axiom,
    equal(rstore_head(queue_46,index_48),queue_49),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(344,axiom,
    equal(rstore_seq(q0,earray_4),queue_5),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(345,axiom,
    equal(rstore_seq(q15,earray_52),queue_53),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(346,axiom,
    equal(rstore_tail(queue_53,index_54),queue_55),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(347,axiom,
    equal(rstore_seq(q16,earray_58),queue_59),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(348,axiom,
    equal(rstore_tail(queue_59,index_60),queue_61),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(349,axiom,
    equal(rstore_seq(q17,earray_64),queue_65),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(350,axiom,
    equal(rstore_tail(queue_65,index_66),queue_67),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(351,axiom,
    equal(rstore_tail(queue_5,index_6),queue_7),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(352,axiom,
    equal(rstore_head(queue_67,index_69),queue_70),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(353,axiom,
    equal(rstore_seq(q18,earray_73),queue_74),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(354,axiom,
    equal(rstore_tail(queue_74,index_75),queue_76),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(355,axiom,
    equal(rstore_seq(q1,earray_79),queue_80),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(356,axiom,
    equal(rstore_tail(queue_80,index_81),queue_82),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(357,axiom,
    equal(rstore_seq(q19,earray_85),queue_86),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(358,axiom,
    equal(rstore_tail(queue_86,index_87),queue_88),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(359,axiom,
    equal(rstore_seq(q20,earray_91),queue_92),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(360,axiom,
    equal(rstore_tail(queue_92,index_93),queue_94),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(361,axiom,
    equal(rstore_head(queue_94,index_96),queue_97),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(362,axiom,
    equal(queue_1,q0),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(363,axiom,
    equal(queue_7,q1),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(364,axiom,
    equal(queue_13,q10),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(365,axiom,
    equal(queue_19,q11),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(366,axiom,
    equal(queue_28,q12),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(367,axiom,
    equal(queue_34,q13),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(368,axiom,
    equal(queue_40,q14),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(369,axiom,
    equal(queue_49,q15),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(370,axiom,
    equal(queue_55,q16),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(371,axiom,
    equal(queue_61,q17),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(372,axiom,
    equal(queue_70,q18),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(373,axiom,
    equal(queue_76,q19),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(374,axiom,
    equal(queue_82,q2),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(375,axiom,
    equal(queue_88,q20),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(376,axiom,
    equal(queue_97,q21),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(377,axiom,
    equal(queue_103,q22),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(378,axiom,
    equal(queue_109,q23),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(379,axiom,
    equal(queue_118,q24),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(380,axiom,
    equal(queue_124,q25),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(381,axiom,
    equal(queue_130,q26),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(382,axiom,
    equal(queue_139,q27),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(383,axiom,
    equal(queue_145,q28),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(384,axiom,
    equal(queue_151,q29),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(385,axiom,
    equal(queue_160,q3),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(386,axiom,
    equal(queue_169,q30),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(387,axiom,
    equal(queue_175,q31),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(388,axiom,
    equal(queue_181,q32),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(389,axiom,
    equal(queue_190,q33),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(390,axiom,
    equal(queue_196,q34),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(391,axiom,
    equal(queue_202,q35),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(392,axiom,
    equal(queue_211,q36),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(393,axiom,
    equal(queue_217,q37),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(394,axiom,
    equal(queue_223,q38),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(395,axiom,
    equal(queue_232,q39),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(396,axiom,
    equal(queue_238,q4),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(397,axiom,
    equal(queue_244,q40),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(398,axiom,
    equal(queue_250,q5),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(399,axiom,
    equal(queue_259,q6),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(400,axiom,
    equal(queue_265,q7),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(401,axiom,
    equal(queue_271,q8),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(402,axiom,
    equal(queue_280,q9),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(403,axiom,
    ~ equal(elem_283,e13),
    file('SWV568-1.040.p',unknown),
    [] ).

cnf(404,plain,
    equal(rstore_head(queue_94,index_96),q21),
    inference(rew,[status(thm),theory(equality)],[376,361]),
    [iquote('0:Rew:376.0,361.0')] ).

cnf(405,plain,
    equal(rstore_tail(queue_86,index_87),q20),
    inference(rew,[status(thm),theory(equality)],[375,358]),
    [iquote('0:Rew:375.0,358.0')] ).

cnf(406,plain,
    equal(rstore_tail(queue_80,index_81),q2),
    inference(rew,[status(thm),theory(equality)],[374,356]),
    [iquote('0:Rew:374.0,356.0')] ).

cnf(407,plain,
    equal(rstore_tail(queue_74,index_75),q19),
    inference(rew,[status(thm),theory(equality)],[373,354]),
    [iquote('0:Rew:373.0,354.0')] ).

cnf(408,plain,
    equal(rstore_head(queue_67,index_69),q18),
    inference(rew,[status(thm),theory(equality)],[372,352]),
    [iquote('0:Rew:372.0,352.0')] ).

cnf(409,plain,
    equal(rstore_tail(queue_5,index_6),q1),
    inference(rew,[status(thm),theory(equality)],[363,351]),
    [iquote('0:Rew:363.0,351.0')] ).

cnf(410,plain,
    equal(rstore_tail(queue_59,index_60),q17),
    inference(rew,[status(thm),theory(equality)],[371,348]),
    [iquote('0:Rew:371.0,348.0')] ).

cnf(411,plain,
    equal(rstore_tail(queue_53,index_54),q16),
    inference(rew,[status(thm),theory(equality)],[370,346]),
    [iquote('0:Rew:370.0,346.0')] ).

cnf(412,plain,
    equal(rstore_head(queue_46,index_48),q15),
    inference(rew,[status(thm),theory(equality)],[369,343]),
    [iquote('0:Rew:369.0,343.0')] ).

cnf(413,plain,
    equal(rstore_tail(queue_38,index_39),q14),
    inference(rew,[status(thm),theory(equality)],[368,340]),
    [iquote('0:Rew:368.0,340.0')] ).

cnf(414,plain,
    equal(rstore_tail(queue_32,index_33),q13),
    inference(rew,[status(thm),theory(equality)],[367,338]),
    [iquote('0:Rew:367.0,338.0')] ).

cnf(415,plain,
    equal(rstore_head(queue_277,index_279),q9),
    inference(rew,[status(thm),theory(equality)],[402,336]),
    [iquote('0:Rew:402.0,336.0')] ).

cnf(416,plain,
    equal(rstore_head(queue_25,index_27),q12),
    inference(rew,[status(thm),theory(equality)],[366,335]),
    [iquote('0:Rew:366.0,335.0')] ).

cnf(417,plain,
    equal(rstore_tail(queue_269,index_270),q8),
    inference(rew,[status(thm),theory(equality)],[401,332]),
    [iquote('0:Rew:401.0,332.0')] ).

cnf(418,plain,
    equal(rstore_tail(queue_263,index_264),q7),
    inference(rew,[status(thm),theory(equality)],[400,330]),
    [iquote('0:Rew:400.0,330.0')] ).

cnf(419,plain,
    equal(rstore_head(queue_256,index_258),q6),
    inference(rew,[status(thm),theory(equality)],[399,328]),
    [iquote('0:Rew:399.0,328.0')] ).

cnf(420,plain,
    equal(rstore_tail(queue_248,index_249),q5),
    inference(rew,[status(thm),theory(equality)],[398,325]),
    [iquote('0:Rew:398.0,325.0')] ).

cnf(421,plain,
    equal(rstore_tail(queue_242,index_243),q40),
    inference(rew,[status(thm),theory(equality)],[397,322]),
    [iquote('0:Rew:397.0,322.0')] ).

cnf(422,plain,
    equal(rstore_tail(queue_236,index_237),q4),
    inference(rew,[status(thm),theory(equality)],[396,320]),
    [iquote('0:Rew:396.0,320.0')] ).

cnf(423,plain,
    equal(rstore_head(queue_229,index_231),q39),
    inference(rew,[status(thm),theory(equality)],[395,318]),
    [iquote('0:Rew:395.0,318.0')] ).

cnf(424,plain,
    equal(rstore_tail(queue_221,index_222),q38),
    inference(rew,[status(thm),theory(equality)],[394,314]),
    [iquote('0:Rew:394.0,314.0')] ).

cnf(425,plain,
    equal(rstore_tail(queue_215,index_216),q37),
    inference(rew,[status(thm),theory(equality)],[393,312]),
    [iquote('0:Rew:393.0,312.0')] ).

cnf(426,plain,
    equal(rstore_head(queue_208,index_210),q36),
    inference(rew,[status(thm),theory(equality)],[392,310]),
    [iquote('0:Rew:392.0,310.0')] ).

cnf(427,plain,
    equal(rstore_tail(queue_200,index_201),q35),
    inference(rew,[status(thm),theory(equality)],[391,307]),
    [iquote('0:Rew:391.0,307.0')] ).

cnf(428,plain,
    equal(rstore_tail(queue_194,index_195),q34),
    inference(rew,[status(thm),theory(equality)],[390,305]),
    [iquote('0:Rew:390.0,305.0')] ).

cnf(429,plain,
    equal(rstore_head(queue_187,index_189),q33),
    inference(rew,[status(thm),theory(equality)],[389,303]),
    [iquote('0:Rew:389.0,303.0')] ).

cnf(430,plain,
    equal(rstore_tail(queue_17,index_18),q11),
    inference(rew,[status(thm),theory(equality)],[365,302]),
    [iquote('0:Rew:365.0,302.0')] ).

cnf(431,plain,
    equal(rstore_tail(queue_179,index_180),q32),
    inference(rew,[status(thm),theory(equality)],[388,299]),
    [iquote('0:Rew:388.0,299.0')] ).

cnf(432,plain,
    equal(rstore_tail(queue_173,index_174),q31),
    inference(rew,[status(thm),theory(equality)],[387,297]),
    [iquote('0:Rew:387.0,297.0')] ).

cnf(433,plain,
    equal(rstore_head(queue_166,index_168),q30),
    inference(rew,[status(thm),theory(equality)],[386,294]),
    [iquote('0:Rew:386.0,294.0')] ).

cnf(434,plain,
    equal(rstore_head(queue_157,index_159),q3),
    inference(rew,[status(thm),theory(equality)],[385,291]),
    [iquote('0:Rew:385.0,291.0')] ).

cnf(435,plain,
    equal(rstore_tail(queue_149,index_150),q29),
    inference(rew,[status(thm),theory(equality)],[384,288]),
    [iquote('0:Rew:384.0,288.0')] ).

cnf(436,plain,
    equal(rstore_tail(queue_143,index_144),q28),
    inference(rew,[status(thm),theory(equality)],[383,286]),
    [iquote('0:Rew:383.0,286.0')] ).

cnf(437,plain,
    equal(rstore_head(queue_136,index_138),q27),
    inference(rew,[status(thm),theory(equality)],[382,284]),
    [iquote('0:Rew:382.0,284.0')] ).

cnf(438,plain,
    equal(rstore_tail(queue_128,index_129),q26),
    inference(rew,[status(thm),theory(equality)],[381,281]),
    [iquote('0:Rew:381.0,281.0')] ).

cnf(439,plain,
    equal(rstore_tail(queue_11,index_12),q10),
    inference(rew,[status(thm),theory(equality)],[364,280]),
    [iquote('0:Rew:364.0,280.0')] ).

cnf(440,plain,
    equal(rstore_tail(queue_122,index_123),q25),
    inference(rew,[status(thm),theory(equality)],[380,278]),
    [iquote('0:Rew:380.0,278.0')] ).

cnf(441,plain,
    equal(rstore_head(queue_115,index_117),q24),
    inference(rew,[status(thm),theory(equality)],[379,276]),
    [iquote('0:Rew:379.0,276.0')] ).

cnf(442,plain,
    equal(rstore_tail(queue_107,index_108),q23),
    inference(rew,[status(thm),theory(equality)],[378,272]),
    [iquote('0:Rew:378.0,272.0')] ).

cnf(443,plain,
    equal(rstore_tail(queue_101,index_102),q22),
    inference(rew,[status(thm),theory(equality)],[377,270]),
    [iquote('0:Rew:377.0,270.0')] ).

cnf(444,plain,
    equal(rstore_head(q,index_0),q0),
    inference(rew,[status(thm),theory(equality)],[362,268]),
    [iquote('0:Rew:362.0,268.0')] ).

cnf(744,plain,
    ~ equal(index_39,index_36),
    inference(spl,[status(thm),theory(equality)],[242,77]),
    [iquote('0:SpL:242.0,77.0')] ).

cnf(837,plain,
    ~ equal(s(index_39),index_36),
    inference(spl,[status(thm),theory(equality)],[242,76]),
    [iquote('0:SpL:242.0,76.0')] ).

cnf(879,plain,
    equal(rselect_tail(queue_94),index_93),
    inference(spr,[status(thm),theory(equality)],[360,5]),
    [iquote('0:SpR:360.0,5.0')] ).

cnf(880,plain,
    equal(rselect_tail(q20),index_87),
    inference(spr,[status(thm),theory(equality)],[405,5]),
    [iquote('0:SpR:405.0,5.0')] ).

cnf(881,plain,
    equal(rselect_tail(q2),index_81),
    inference(spr,[status(thm),theory(equality)],[406,5]),
    [iquote('0:SpR:406.0,5.0')] ).

cnf(882,plain,
    equal(rselect_tail(q19),index_75),
    inference(spr,[status(thm),theory(equality)],[407,5]),
    [iquote('0:SpR:407.0,5.0')] ).

cnf(883,plain,
    equal(rselect_tail(q1),index_6),
    inference(spr,[status(thm),theory(equality)],[409,5]),
    [iquote('0:SpR:409.0,5.0')] ).

cnf(884,plain,
    equal(rselect_tail(queue_67),index_66),
    inference(spr,[status(thm),theory(equality)],[350,5]),
    [iquote('0:SpR:350.0,5.0')] ).

cnf(885,plain,
    equal(rselect_tail(q17),index_60),
    inference(spr,[status(thm),theory(equality)],[410,5]),
    [iquote('0:SpR:410.0,5.0')] ).

cnf(886,plain,
    equal(rselect_tail(q16),index_54),
    inference(spr,[status(thm),theory(equality)],[411,5]),
    [iquote('0:SpR:411.0,5.0')] ).

cnf(887,plain,
    equal(rselect_tail(queue_46),index_45),
    inference(spr,[status(thm),theory(equality)],[342,5]),
    [iquote('0:SpR:342.0,5.0')] ).

cnf(888,plain,
    equal(rselect_tail(q14),index_39),
    inference(spr,[status(thm),theory(equality)],[413,5]),
    [iquote('0:SpR:413.0,5.0')] ).

cnf(889,plain,
    equal(rselect_tail(q13),index_33),
    inference(spr,[status(thm),theory(equality)],[414,5]),
    [iquote('0:SpR:414.0,5.0')] ).

cnf(890,plain,
    equal(rselect_tail(queue_277),index_276),
    inference(spr,[status(thm),theory(equality)],[334,5]),
    [iquote('0:SpR:334.0,5.0')] ).

cnf(891,plain,
    equal(rselect_tail(q8),index_270),
    inference(spr,[status(thm),theory(equality)],[417,5]),
    [iquote('0:SpR:417.0,5.0')] ).

cnf(892,plain,
    equal(rselect_tail(q7),index_264),
    inference(spr,[status(thm),theory(equality)],[418,5]),
    [iquote('0:SpR:418.0,5.0')] ).

cnf(893,plain,
    equal(rselect_tail(queue_256),index_255),
    inference(spr,[status(thm),theory(equality)],[327,5]),
    [iquote('0:SpR:327.0,5.0')] ).

cnf(894,plain,
    equal(rselect_tail(q5),index_249),
    inference(spr,[status(thm),theory(equality)],[420,5]),
    [iquote('0:SpR:420.0,5.0')] ).

cnf(895,plain,
    equal(rselect_tail(queue_25),index_24),
    inference(spr,[status(thm),theory(equality)],[324,5]),
    [iquote('0:SpR:324.0,5.0')] ).

cnf(897,plain,
    equal(rselect_tail(q4),index_237),
    inference(spr,[status(thm),theory(equality)],[422,5]),
    [iquote('0:SpR:422.0,5.0')] ).

cnf(898,plain,
    equal(rselect_tail(queue_229),index_228),
    inference(spr,[status(thm),theory(equality)],[316,5]),
    [iquote('0:SpR:316.0,5.0')] ).

cnf(899,plain,
    equal(rselect_tail(q38),index_222),
    inference(spr,[status(thm),theory(equality)],[424,5]),
    [iquote('0:SpR:424.0,5.0')] ).

cnf(900,plain,
    equal(rselect_tail(q37),index_216),
    inference(spr,[status(thm),theory(equality)],[425,5]),
    [iquote('0:SpR:425.0,5.0')] ).

cnf(901,plain,
    equal(rselect_tail(queue_208),index_207),
    inference(spr,[status(thm),theory(equality)],[309,5]),
    [iquote('0:SpR:309.0,5.0')] ).

cnf(902,plain,
    equal(rselect_tail(q35),index_201),
    inference(spr,[status(thm),theory(equality)],[427,5]),
    [iquote('0:SpR:427.0,5.0')] ).

cnf(903,plain,
    equal(rselect_tail(q34),index_195),
    inference(spr,[status(thm),theory(equality)],[428,5]),
    [iquote('0:SpR:428.0,5.0')] ).

cnf(904,plain,
    equal(rselect_tail(q11),index_18),
    inference(spr,[status(thm),theory(equality)],[430,5]),
    [iquote('0:SpR:430.0,5.0')] ).

cnf(905,plain,
    equal(rselect_tail(queue_187),index_186),
    inference(spr,[status(thm),theory(equality)],[301,5]),
    [iquote('0:SpR:301.0,5.0')] ).

cnf(906,plain,
    equal(rselect_tail(q32),index_180),
    inference(spr,[status(thm),theory(equality)],[431,5]),
    [iquote('0:SpR:431.0,5.0')] ).

cnf(907,plain,
    equal(rselect_tail(q31),index_174),
    inference(spr,[status(thm),theory(equality)],[432,5]),
    [iquote('0:SpR:432.0,5.0')] ).

cnf(908,plain,
    equal(rselect_tail(queue_166),index_165),
    inference(spr,[status(thm),theory(equality)],[293,5]),
    [iquote('0:SpR:293.0,5.0')] ).

cnf(909,plain,
    equal(rselect_tail(queue_157),index_156),
    inference(spr,[status(thm),theory(equality)],[290,5]),
    [iquote('0:SpR:290.0,5.0')] ).

cnf(910,plain,
    equal(rselect_tail(q29),index_150),
    inference(spr,[status(thm),theory(equality)],[435,5]),
    [iquote('0:SpR:435.0,5.0')] ).

cnf(911,plain,
    equal(rselect_tail(q28),index_144),
    inference(spr,[status(thm),theory(equality)],[436,5]),
    [iquote('0:SpR:436.0,5.0')] ).

cnf(912,plain,
    equal(rselect_tail(queue_136),index_135),
    inference(spr,[status(thm),theory(equality)],[283,5]),
    [iquote('0:SpR:283.0,5.0')] ).

cnf(913,plain,
    equal(rselect_tail(q26),index_129),
    inference(spr,[status(thm),theory(equality)],[438,5]),
    [iquote('0:SpR:438.0,5.0')] ).

cnf(914,plain,
    equal(rselect_tail(q10),index_12),
    inference(spr,[status(thm),theory(equality)],[439,5]),
    [iquote('0:SpR:439.0,5.0')] ).

cnf(915,plain,
    equal(rselect_tail(q25),index_123),
    inference(spr,[status(thm),theory(equality)],[440,5]),
    [iquote('0:SpR:440.0,5.0')] ).

cnf(916,plain,
    equal(rselect_tail(queue_115),index_114),
    inference(spr,[status(thm),theory(equality)],[275,5]),
    [iquote('0:SpR:275.0,5.0')] ).

cnf(917,plain,
    equal(rselect_tail(q23),index_108),
    inference(spr,[status(thm),theory(equality)],[442,5]),
    [iquote('0:SpR:442.0,5.0')] ).

cnf(918,plain,
    equal(rselect_tail(q22),index_102),
    inference(spr,[status(thm),theory(equality)],[443,5]),
    [iquote('0:SpR:443.0,5.0')] ).

cnf(919,plain,
    equal(index_87,index_90),
    inference(rew,[status(thm),theory(equality)],[263,880]),
    [iquote('0:Rew:263.0,880.0')] ).

cnf(920,plain,
    equal(s(index_84),index_90),
    inference(rew,[status(thm),theory(equality)],[919,261]),
    [iquote('0:Rew:919.0,261.0')] ).

cnf(921,plain,
    equal(rstore_tail(queue_86,index_90),q20),
    inference(rew,[status(thm),theory(equality)],[919,405]),
    [iquote('0:Rew:919.0,405.0')] ).

cnf(924,plain,
    equal(index_81,index_153),
    inference(rew,[status(thm),theory(equality)],[182,881]),
    [iquote('0:Rew:182.0,881.0')] ).

cnf(925,plain,
    equal(s(index_78),index_153),
    inference(rew,[status(thm),theory(equality)],[924,259]),
    [iquote('0:Rew:924.0,259.0')] ).

cnf(926,plain,
    equal(rstore_tail(queue_80,index_153),q2),
    inference(rew,[status(thm),theory(equality)],[924,406]),
    [iquote('0:Rew:924.0,406.0')] ).

cnf(929,plain,
    equal(index_75,index_84),
    inference(rew,[status(thm),theory(equality)],[260,882]),
    [iquote('0:Rew:260.0,882.0')] ).

cnf(930,plain,
    equal(s(index_72),index_84),
    inference(rew,[status(thm),theory(equality)],[929,257]),
    [iquote('0:Rew:929.0,257.0')] ).

cnf(931,plain,
    equal(rstore_tail(queue_74,index_84),q19),
    inference(rew,[status(thm),theory(equality)],[929,407]),
    [iquote('0:Rew:929.0,407.0')] ).

cnf(934,plain,
    equal(index_6,index_78),
    inference(rew,[status(thm),theory(equality)],[258,883]),
    [iquote('0:Rew:258.0,883.0')] ).

cnf(935,plain,
    equal(s(index_3),index_78),
    inference(rew,[status(thm),theory(equality)],[934,250]),
    [iquote('0:Rew:934.0,250.0')] ).

cnf(936,plain,
    equal(rstore_tail(queue_5,index_78),q1),
    inference(rew,[status(thm),theory(equality)],[934,409]),
    [iquote('0:Rew:934.0,409.0')] ).

cnf(939,plain,
    equal(index_60,index_63),
    inference(rew,[status(thm),theory(equality)],[252,885]),
    [iquote('0:Rew:252.0,885.0')] ).

cnf(940,plain,
    equal(s(index_57),index_63),
    inference(rew,[status(thm),theory(equality)],[939,251]),
    [iquote('0:Rew:939.0,251.0')] ).

cnf(941,plain,
    equal(rstore_tail(queue_59,index_63),q17),
    inference(rew,[status(thm),theory(equality)],[939,410]),
    [iquote('0:Rew:939.0,410.0')] ).

cnf(944,plain,
    equal(index_54,index_57),
    inference(rew,[status(thm),theory(equality)],[249,886]),
    [iquote('0:Rew:249.0,886.0')] ).

cnf(945,plain,
    equal(s(index_51),index_57),
    inference(rew,[status(thm),theory(equality)],[944,248]),
    [iquote('0:Rew:944.0,248.0')] ).

cnf(946,plain,
    equal(rstore_tail(queue_53,index_57),q16),
    inference(rew,[status(thm),theory(equality)],[944,411]),
    [iquote('0:Rew:944.0,411.0')] ).

cnf(949,plain,
    equal(index_39,index_42),
    inference(rew,[status(thm),theory(equality)],[243,888]),
    [iquote('0:Rew:243.0,888.0')] ).

cnf(950,plain,
    equal(s(index_36),index_42),
    inference(rew,[status(thm),theory(equality)],[949,242]),
    [iquote('0:Rew:949.0,242.0')] ).

cnf(951,plain,
    equal(rstore_tail(queue_38,index_42),q14),
    inference(rew,[status(thm),theory(equality)],[949,413]),
    [iquote('0:Rew:949.0,413.0')] ).

cnf(952,plain,
    ~ equal(index_42,index_36),
    inference(rew,[status(thm),theory(equality)],[949,744]),
    [iquote('0:Rew:949.0,744.0')] ).

cnf(953,plain,
    ~ equal(s(index_42),index_36),
    inference(rew,[status(thm),theory(equality)],[949,837]),
    [iquote('0:Rew:949.0,837.0')] ).

cnf(954,plain,
    equal(index_33,index_36),
    inference(rew,[status(thm),theory(equality)],[241,889]),
    [iquote('0:Rew:241.0,889.0')] ).

cnf(955,plain,
    equal(s(index_30),index_36),
    inference(rew,[status(thm),theory(equality)],[954,240]),
    [iquote('0:Rew:954.0,240.0')] ).

cnf(956,plain,
    equal(rstore_tail(queue_32,index_36),q13),
    inference(rew,[status(thm),theory(equality)],[954,414]),
    [iquote('0:Rew:954.0,414.0')] ).

cnf(959,plain,
    equal(index_270,index_273),
    inference(rew,[status(thm),theory(equality)],[233,891]),
    [iquote('0:Rew:233.0,891.0')] ).

cnf(960,plain,
    equal(s(index_267),index_273),
    inference(rew,[status(thm),theory(equality)],[959,232]),
    [iquote('0:Rew:959.0,232.0')] ).

cnf(961,plain,
    equal(rstore_tail(queue_269,index_273),q8),
    inference(rew,[status(thm),theory(equality)],[959,417]),
    [iquote('0:Rew:959.0,417.0')] ).

cnf(964,plain,
    equal(index_264,index_267),
    inference(rew,[status(thm),theory(equality)],[230,892]),
    [iquote('0:Rew:230.0,892.0')] ).

cnf(965,plain,
    equal(s(index_261),index_267),
    inference(rew,[status(thm),theory(equality)],[964,229]),
    [iquote('0:Rew:964.0,229.0')] ).

cnf(966,plain,
    equal(rstore_tail(queue_263,index_267),q7),
    inference(rew,[status(thm),theory(equality)],[964,418]),
    [iquote('0:Rew:964.0,418.0')] ).

cnf(969,plain,
    equal(index_249,index_252),
    inference(rew,[status(thm),theory(equality)],[223,894]),
    [iquote('0:Rew:223.0,894.0')] ).

cnf(970,plain,
    equal(s(index_246),index_252),
    inference(rew,[status(thm),theory(equality)],[969,222]),
    [iquote('0:Rew:969.0,222.0')] ).

cnf(971,plain,
    equal(rstore_tail(queue_248,index_252),q5),
    inference(rew,[status(thm),theory(equality)],[969,420]),
    [iquote('0:Rew:969.0,420.0')] ).

cnf(974,plain,
    equal(index_237,index_246),
    inference(rew,[status(thm),theory(equality)],[221,897]),
    [iquote('0:Rew:221.0,897.0')] ).

cnf(975,plain,
    equal(s(index_234),index_246),
    inference(rew,[status(thm),theory(equality)],[974,217]),
    [iquote('0:Rew:974.0,217.0')] ).

cnf(976,plain,
    equal(rstore_tail(queue_236,index_246),q4),
    inference(rew,[status(thm),theory(equality)],[974,422]),
    [iquote('0:Rew:974.0,422.0')] ).

cnf(979,plain,
    equal(index_222,index_225),
    inference(rew,[status(thm),theory(equality)],[212,899]),
    [iquote('0:Rew:212.0,899.0')] ).

cnf(980,plain,
    equal(s(index_219),index_225),
    inference(rew,[status(thm),theory(equality)],[979,211]),
    [iquote('0:Rew:979.0,211.0')] ).

cnf(981,plain,
    equal(rstore_tail(queue_221,index_225),q38),
    inference(rew,[status(thm),theory(equality)],[979,424]),
    [iquote('0:Rew:979.0,424.0')] ).

cnf(984,plain,
    equal(index_216,index_219),
    inference(rew,[status(thm),theory(equality)],[210,900]),
    [iquote('0:Rew:210.0,900.0')] ).

cnf(985,plain,
    equal(s(index_213),index_219),
    inference(rew,[status(thm),theory(equality)],[984,209]),
    [iquote('0:Rew:984.0,209.0')] ).

cnf(986,plain,
    equal(rstore_tail(queue_215,index_219),q37),
    inference(rew,[status(thm),theory(equality)],[984,425]),
    [iquote('0:Rew:984.0,425.0')] ).

cnf(989,plain,
    equal(index_201,index_204),
    inference(rew,[status(thm),theory(equality)],[203,902]),
    [iquote('0:Rew:203.0,902.0')] ).

cnf(990,plain,
    equal(s(index_198),index_204),
    inference(rew,[status(thm),theory(equality)],[989,202]),
    [iquote('0:Rew:989.0,202.0')] ).

cnf(991,plain,
    equal(rstore_tail(queue_200,index_204),q35),
    inference(rew,[status(thm),theory(equality)],[989,427]),
    [iquote('0:Rew:989.0,427.0')] ).

cnf(994,plain,
    equal(index_195,index_198),
    inference(rew,[status(thm),theory(equality)],[201,903]),
    [iquote('0:Rew:201.0,903.0')] ).

cnf(995,plain,
    equal(s(index_192),index_198),
    inference(rew,[status(thm),theory(equality)],[994,200]),
    [iquote('0:Rew:994.0,200.0')] ).

cnf(996,plain,
    equal(rstore_tail(queue_194,index_198),q34),
    inference(rew,[status(thm),theory(equality)],[994,428]),
    [iquote('0:Rew:994.0,428.0')] ).

cnf(999,plain,
    equal(index_18,index_21),
    inference(rew,[status(thm),theory(equality)],[206,904]),
    [iquote('0:Rew:206.0,904.0')] ).

cnf(1000,plain,
    equal(s(index_15),index_21),
    inference(rew,[status(thm),theory(equality)],[999,193]),
    [iquote('0:Rew:999.0,193.0')] ).

cnf(1001,plain,
    equal(rstore_tail(queue_17,index_21),q11),
    inference(rew,[status(thm),theory(equality)],[999,430]),
    [iquote('0:Rew:999.0,430.0')] ).

cnf(1004,plain,
    equal(index_180,index_183),
    inference(rew,[status(thm),theory(equality)],[195,906]),
    [iquote('0:Rew:195.0,906.0')] ).

cnf(1005,plain,
    equal(s(index_177),index_183),
    inference(rew,[status(thm),theory(equality)],[1004,194]),
    [iquote('0:Rew:1004.0,194.0')] ).

cnf(1006,plain,
    equal(rstore_tail(queue_179,index_183),q32),
    inference(rew,[status(thm),theory(equality)],[1004,431]),
    [iquote('0:Rew:1004.0,431.0')] ).

cnf(1009,plain,
    equal(index_174,index_177),
    inference(rew,[status(thm),theory(equality)],[192,907]),
    [iquote('0:Rew:192.0,907.0')] ).

cnf(1010,plain,
    equal(s(index_171),index_177),
    inference(rew,[status(thm),theory(equality)],[1009,191]),
    [iquote('0:Rew:1009.0,191.0')] ).

cnf(1011,plain,
    equal(rstore_tail(queue_173,index_177),q31),
    inference(rew,[status(thm),theory(equality)],[1009,432]),
    [iquote('0:Rew:1009.0,432.0')] ).

cnf(1014,plain,
    equal(index_150,index_162),
    inference(rew,[status(thm),theory(equality)],[186,910]),
    [iquote('0:Rew:186.0,910.0')] ).

cnf(1015,plain,
    equal(s(index_147),index_162),
    inference(rew,[status(thm),theory(equality)],[1014,181]),
    [iquote('0:Rew:1014.0,181.0')] ).

cnf(1016,plain,
    equal(rstore_tail(queue_149,index_162),q29),
    inference(rew,[status(thm),theory(equality)],[1014,435]),
    [iquote('0:Rew:1014.0,435.0')] ).

cnf(1019,plain,
    equal(index_144,index_147),
    inference(rew,[status(thm),theory(equality)],[179,911]),
    [iquote('0:Rew:179.0,911.0')] ).

cnf(1020,plain,
    equal(s(index_141),index_147),
    inference(rew,[status(thm),theory(equality)],[1019,178]),
    [iquote('0:Rew:1019.0,178.0')] ).

cnf(1021,plain,
    equal(rstore_tail(queue_143,index_147),q28),
    inference(rew,[status(thm),theory(equality)],[1019,436]),
    [iquote('0:Rew:1019.0,436.0')] ).

cnf(1024,plain,
    equal(index_129,index_132),
    inference(rew,[status(thm),theory(equality)],[173,913]),
    [iquote('0:Rew:173.0,913.0')] ).

cnf(1025,plain,
    equal(s(index_126),index_132),
    inference(rew,[status(thm),theory(equality)],[1024,172]),
    [iquote('0:Rew:1024.0,172.0')] ).

cnf(1026,plain,
    equal(rstore_tail(queue_128,index_132),q26),
    inference(rew,[status(thm),theory(equality)],[1024,438]),
    [iquote('0:Rew:1024.0,438.0')] ).

cnf(1029,plain,
    equal(index_12,index_15),
    inference(rew,[status(thm),theory(equality)],[180,914]),
    [iquote('0:Rew:180.0,914.0')] ).

cnf(1030,plain,
    equal(s(index_9),index_15),
    inference(rew,[status(thm),theory(equality)],[1029,168]),
    [iquote('0:Rew:1029.0,168.0')] ).

cnf(1031,plain,
    equal(rstore_tail(queue_11,index_15),q10),
    inference(rew,[status(thm),theory(equality)],[1029,439]),
    [iquote('0:Rew:1029.0,439.0')] ).

cnf(1034,plain,
    equal(index_123,index_126),
    inference(rew,[status(thm),theory(equality)],[171,915]),
    [iquote('0:Rew:171.0,915.0')] ).

cnf(1035,plain,
    equal(s(index_120),index_126),
    inference(rew,[status(thm),theory(equality)],[1034,170]),
    [iquote('0:Rew:1034.0,170.0')] ).

cnf(1036,plain,
    equal(rstore_tail(queue_122,index_126),q25),
    inference(rew,[status(thm),theory(equality)],[1034,440]),
    [iquote('0:Rew:1034.0,440.0')] ).

cnf(1039,plain,
    equal(index_108,index_111),
    inference(rew,[status(thm),theory(equality)],[164,917]),
    [iquote('0:Rew:164.0,917.0')] ).

cnf(1040,plain,
    equal(s(index_105),index_111),
    inference(rew,[status(thm),theory(equality)],[1039,163]),
    [iquote('0:Rew:1039.0,163.0')] ).

cnf(1041,plain,
    equal(rstore_tail(queue_107,index_111),q23),
    inference(rew,[status(thm),theory(equality)],[1039,442]),
    [iquote('0:Rew:1039.0,442.0')] ).

cnf(1044,plain,
    equal(index_102,index_105),
    inference(rew,[status(thm),theory(equality)],[162,918]),
    [iquote('0:Rew:162.0,918.0')] ).

cnf(1045,plain,
    equal(s(index_99),index_105),
    inference(rew,[status(thm),theory(equality)],[1044,161]),
    [iquote('0:Rew:1044.0,161.0')] ).

cnf(1046,plain,
    equal(rstore_tail(queue_101,index_105),q22),
    inference(rew,[status(thm),theory(equality)],[1044,443]),
    [iquote('0:Rew:1044.0,443.0')] ).

cnf(1055,plain,
    ~ equal(index_45,index_36),
    inference(rew,[status(thm),theory(equality)],[244,953]),
    [iquote('0:Rew:244.0,953.0')] ).

cnf(1272,plain,
    equal(rselect_head(q21),index_96),
    inference(spr,[status(thm),theory(equality)],[404,4]),
    [iquote('0:SpR:404.0,4.0')] ).

cnf(1273,plain,
    equal(rselect_head(q18),index_69),
    inference(spr,[status(thm),theory(equality)],[408,4]),
    [iquote('0:SpR:408.0,4.0')] ).

cnf(1274,plain,
    equal(rselect_head(q15),index_48),
    inference(spr,[status(thm),theory(equality)],[412,4]),
    [iquote('0:SpR:412.0,4.0')] ).

cnf(1275,plain,
    equal(rselect_head(q9),index_279),
    inference(spr,[status(thm),theory(equality)],[415,4]),
    [iquote('0:SpR:415.0,4.0')] ).

cnf(1276,plain,
    equal(rselect_head(q12),index_27),
    inference(spr,[status(thm),theory(equality)],[416,4]),
    [iquote('0:SpR:416.0,4.0')] ).

cnf(1277,plain,
    equal(rselect_head(q6),index_258),
    inference(spr,[status(thm),theory(equality)],[419,4]),
    [iquote('0:SpR:419.0,4.0')] ).

cnf(1278,plain,
    equal(rselect_head(q39),index_231),
    inference(spr,[status(thm),theory(equality)],[423,4]),
    [iquote('0:SpR:423.0,4.0')] ).

cnf(1279,plain,
    equal(rselect_head(q36),index_210),
    inference(spr,[status(thm),theory(equality)],[426,4]),
    [iquote('0:SpR:426.0,4.0')] ).

cnf(1280,plain,
    equal(rselect_head(q33),index_189),
    inference(spr,[status(thm),theory(equality)],[429,4]),
    [iquote('0:SpR:429.0,4.0')] ).

cnf(1281,plain,
    equal(rselect_head(q30),index_168),
    inference(spr,[status(thm),theory(equality)],[433,4]),
    [iquote('0:SpR:433.0,4.0')] ).

cnf(1282,plain,
    equal(rselect_head(q3),index_159),
    inference(spr,[status(thm),theory(equality)],[434,4]),
    [iquote('0:SpR:434.0,4.0')] ).

cnf(1283,plain,
    equal(rselect_head(q27),index_138),
    inference(spr,[status(thm),theory(equality)],[437,4]),
    [iquote('0:SpR:437.0,4.0')] ).

cnf(1284,plain,
    equal(rselect_head(q24),index_117),
    inference(spr,[status(thm),theory(equality)],[441,4]),
    [iquote('0:SpR:441.0,4.0')] ).

cnf(1285,plain,
    equal(rselect_head(q0),index_0),
    inference(spr,[status(thm),theory(equality)],[444,4]),
    [iquote('0:SpR:444.0,4.0')] ).

cnf(1291,plain,
    equal(rselect_seq(queue_92),earray_91),
    inference(spr,[status(thm),theory(equality)],[359,3]),
    [iquote('0:SpR:359.0,3.0')] ).

cnf(1292,plain,
    equal(rselect_seq(queue_86),earray_85),
    inference(spr,[status(thm),theory(equality)],[357,3]),
    [iquote('0:SpR:357.0,3.0')] ).

cnf(1294,plain,
    equal(rselect_seq(queue_74),earray_73),
    inference(spr,[status(thm),theory(equality)],[353,3]),
    [iquote('0:SpR:353.0,3.0')] ).

cnf(1295,plain,
    equal(rselect_seq(queue_65),earray_64),
    inference(spr,[status(thm),theory(equality)],[349,3]),
    [iquote('0:SpR:349.0,3.0')] ).

cnf(1296,plain,
    equal(rselect_seq(queue_59),earray_58),
    inference(spr,[status(thm),theory(equality)],[347,3]),
    [iquote('0:SpR:347.0,3.0')] ).

cnf(1297,plain,
    equal(rselect_seq(queue_53),earray_52),
    inference(spr,[status(thm),theory(equality)],[345,3]),
    [iquote('0:SpR:345.0,3.0')] ).

cnf(1299,plain,
    equal(rselect_seq(queue_44),earray_43),
    inference(spr,[status(thm),theory(equality)],[341,3]),
    [iquote('0:SpR:341.0,3.0')] ).

cnf(1300,plain,
    equal(rselect_seq(queue_38),earray_37),
    inference(spr,[status(thm),theory(equality)],[339,3]),
    [iquote('0:SpR:339.0,3.0')] ).

cnf(1301,plain,
    equal(rselect_seq(queue_32),earray_31),
    inference(spr,[status(thm),theory(equality)],[337,3]),
    [iquote('0:SpR:337.0,3.0')] ).

cnf(1307,plain,
    equal(rselect_seq(queue_242),earray_241),
    inference(spr,[status(thm),theory(equality)],[321,3]),
    [iquote('0:SpR:321.0,3.0')] ).

cnf(1310,plain,
    equal(rselect_seq(queue_227),earray_226),
    inference(spr,[status(thm),theory(equality)],[315,3]),
    [iquote('0:SpR:315.0,3.0')] ).

cnf(1311,plain,
    equal(rselect_seq(queue_221),earray_220),
    inference(spr,[status(thm),theory(equality)],[313,3]),
    [iquote('0:SpR:313.0,3.0')] ).

cnf(1312,plain,
    equal(rselect_seq(queue_215),earray_214),
    inference(spr,[status(thm),theory(equality)],[311,3]),
    [iquote('0:SpR:311.0,3.0')] ).

cnf(1313,plain,
    equal(rselect_seq(queue_206),earray_205),
    inference(spr,[status(thm),theory(equality)],[308,3]),
    [iquote('0:SpR:308.0,3.0')] ).

cnf(1314,plain,
    equal(rselect_seq(queue_200),earray_199),
    inference(spr,[status(thm),theory(equality)],[306,3]),
    [iquote('0:SpR:306.0,3.0')] ).

cnf(1315,plain,
    equal(rselect_seq(queue_194),earray_193),
    inference(spr,[status(thm),theory(equality)],[304,3]),
    [iquote('0:SpR:304.0,3.0')] ).

cnf(1316,plain,
    equal(rselect_seq(queue_185),earray_184),
    inference(spr,[status(thm),theory(equality)],[300,3]),
    [iquote('0:SpR:300.0,3.0')] ).

cnf(1317,plain,
    equal(rselect_seq(queue_179),earray_178),
    inference(spr,[status(thm),theory(equality)],[298,3]),
    [iquote('0:SpR:298.0,3.0')] ).

cnf(1318,plain,
    equal(rselect_seq(queue_173),earray_172),
    inference(spr,[status(thm),theory(equality)],[296,3]),
    [iquote('0:SpR:296.0,3.0')] ).

cnf(1320,plain,
    equal(rselect_seq(queue_164),earray_163),
    inference(spr,[status(thm),theory(equality)],[292,3]),
    [iquote('0:SpR:292.0,3.0')] ).

cnf(1322,plain,
    equal(rselect_seq(queue_149),earray_148),
    inference(spr,[status(thm),theory(equality)],[287,3]),
    [iquote('0:SpR:287.0,3.0')] ).

cnf(1323,plain,
    equal(rselect_seq(queue_143),earray_142),
    inference(spr,[status(thm),theory(equality)],[285,3]),
    [iquote('0:SpR:285.0,3.0')] ).

cnf(1324,plain,
    equal(rselect_seq(queue_134),earray_133),
    inference(spr,[status(thm),theory(equality)],[282,3]),
    [iquote('0:SpR:282.0,3.0')] ).

cnf(1325,plain,
    equal(rselect_seq(queue_128),earray_127),
    inference(spr,[status(thm),theory(equality)],[279,3]),
    [iquote('0:SpR:279.0,3.0')] ).

cnf(1326,plain,
    equal(rselect_seq(queue_122),earray_121),
    inference(spr,[status(thm),theory(equality)],[277,3]),
    [iquote('0:SpR:277.0,3.0')] ).

cnf(1327,plain,
    equal(rselect_seq(queue_113),earray_112),
    inference(spr,[status(thm),theory(equality)],[274,3]),
    [iquote('0:SpR:274.0,3.0')] ).

cnf(1329,plain,
    equal(rselect_seq(queue_107),earray_106),
    inference(spr,[status(thm),theory(equality)],[271,3]),
    [iquote('0:SpR:271.0,3.0')] ).

cnf(1330,plain,
    equal(rselect_seq(queue_101),earray_100),
    inference(spr,[status(thm),theory(equality)],[269,3]),
    [iquote('0:SpR:269.0,3.0')] ).

cnf(1368,plain,
    ~ equal(s(s(index_42)),index_36),
    inference(spl,[status(thm),theory(equality)],[950,75]),
    [iquote('0:SpL:950.0,75.0')] ).

cnf(1394,plain,
    ~ equal(s(index_45),index_36),
    inference(rew,[status(thm),theory(equality)],[244,1368]),
    [iquote('0:Rew:244.0,1368.0')] ).

cnf(1419,plain,
    equal(rselect_tail(queue_94),rselect_tail(q21)),
    inference(spr,[status(thm),theory(equality)],[404,11]),
    [iquote('0:SpR:404.0,11.0')] ).

cnf(1420,plain,
    equal(rselect_tail(queue_67),rselect_tail(q18)),
    inference(spr,[status(thm),theory(equality)],[408,11]),
    [iquote('0:SpR:408.0,11.0')] ).

cnf(1421,plain,
    equal(rselect_tail(queue_46),rselect_tail(q15)),
    inference(spr,[status(thm),theory(equality)],[412,11]),
    [iquote('0:SpR:412.0,11.0')] ).

cnf(1422,plain,
    equal(rselect_tail(queue_277),rselect_tail(q9)),
    inference(spr,[status(thm),theory(equality)],[415,11]),
    [iquote('0:SpR:415.0,11.0')] ).

cnf(1423,plain,
    equal(rselect_tail(queue_25),rselect_tail(q12)),
    inference(spr,[status(thm),theory(equality)],[416,11]),
    [iquote('0:SpR:416.0,11.0')] ).

cnf(1424,plain,
    equal(rselect_tail(queue_256),rselect_tail(q6)),
    inference(spr,[status(thm),theory(equality)],[419,11]),
    [iquote('0:SpR:419.0,11.0')] ).

cnf(1425,plain,
    equal(rselect_tail(queue_229),rselect_tail(q39)),
    inference(spr,[status(thm),theory(equality)],[423,11]),
    [iquote('0:SpR:423.0,11.0')] ).

cnf(1426,plain,
    equal(rselect_tail(queue_208),rselect_tail(q36)),
    inference(spr,[status(thm),theory(equality)],[426,11]),
    [iquote('0:SpR:426.0,11.0')] ).

cnf(1427,plain,
    equal(rselect_tail(queue_187),rselect_tail(q33)),
    inference(spr,[status(thm),theory(equality)],[429,11]),
    [iquote('0:SpR:429.0,11.0')] ).

cnf(1428,plain,
    equal(rselect_tail(queue_166),rselect_tail(q30)),
    inference(spr,[status(thm),theory(equality)],[433,11]),
    [iquote('0:SpR:433.0,11.0')] ).

cnf(1429,plain,
    equal(rselect_tail(queue_157),rselect_tail(q3)),
    inference(spr,[status(thm),theory(equality)],[434,11]),
    [iquote('0:SpR:434.0,11.0')] ).

cnf(1430,plain,
    equal(rselect_tail(queue_136),rselect_tail(q27)),
    inference(spr,[status(thm),theory(equality)],[437,11]),
    [iquote('0:SpR:437.0,11.0')] ).

cnf(1431,plain,
    equal(rselect_tail(queue_115),rselect_tail(q24)),
    inference(spr,[status(thm),theory(equality)],[441,11]),
    [iquote('0:SpR:441.0,11.0')] ).

cnf(1432,plain,
    equal(rselect_tail(q),rselect_tail(q0)),
    inference(spr,[status(thm),theory(equality)],[444,11]),
    [iquote('0:SpR:444.0,11.0')] ).

cnf(1433,plain,
    equal(index_93,index_99),
    inference(rew,[status(thm),theory(equality)],[879,1419,267]),
    [iquote('0:Rew:879.0,1419.0,267.0,1419.0')] ).

cnf(1434,plain,
    equal(s(index_90),index_99),
    inference(rew,[status(thm),theory(equality)],[1433,264]),
    [iquote('0:Rew:1433.0,264.0')] ).

cnf(1435,plain,
    equal(rstore_tail(queue_92,index_99),queue_94),
    inference(rew,[status(thm),theory(equality)],[1433,360]),
    [iquote('0:Rew:1433.0,360.0')] ).

cnf(1443,plain,
    equal(index_66,index_72),
    inference(rew,[status(thm),theory(equality)],[884,1420,256]),
    [iquote('0:Rew:884.0,1420.0,256.0,1420.0')] ).

cnf(1444,plain,
    equal(s(index_63),index_72),
    inference(rew,[status(thm),theory(equality)],[1443,253]),
    [iquote('0:Rew:1443.0,253.0')] ).

cnf(1445,plain,
    equal(rstore_tail(queue_65,index_72),queue_67),
    inference(rew,[status(thm),theory(equality)],[1443,350]),
    [iquote('0:Rew:1443.0,350.0')] ).

cnf(1453,plain,
    equal(index_45,index_51),
    inference(rew,[status(thm),theory(equality)],[887,1421,247]),
    [iquote('0:Rew:887.0,1421.0,247.0,1421.0')] ).

cnf(1454,plain,
    equal(s(index_42),index_51),
    inference(rew,[status(thm),theory(equality)],[1453,244]),
    [iquote('0:Rew:1453.0,244.0')] ).

cnf(1455,plain,
    equal(rstore_tail(queue_44,index_51),queue_46),
    inference(rew,[status(thm),theory(equality)],[1453,342]),
    [iquote('0:Rew:1453.0,342.0')] ).

cnf(1458,plain,
    ~ equal(index_51,index_36),
    inference(rew,[status(thm),theory(equality)],[1453,1055]),
    [iquote('0:Rew:1453.0,1055.0')] ).

cnf(1461,plain,
    ~ equal(s(index_51),index_36),
    inference(rew,[status(thm),theory(equality)],[1453,1394]),
    [iquote('0:Rew:1453.0,1394.0')] ).

cnf(1463,plain,
    equal(index_276,index_9),
    inference(rew,[status(thm),theory(equality)],[890,1422,262]),
    [iquote('0:Rew:890.0,1422.0,262.0,1422.0')] ).

cnf(1464,plain,
    equal(s(index_273),index_9),
    inference(rew,[status(thm),theory(equality)],[1463,234]),
    [iquote('0:Rew:1463.0,234.0')] ).

cnf(1465,plain,
    equal(rstore_tail(queue_275,index_9),queue_277),
    inference(rew,[status(thm),theory(equality)],[1463,334]),
    [iquote('0:Rew:1463.0,334.0')] ).

cnf(1473,plain,
    equal(index_24,index_30),
    inference(rew,[status(thm),theory(equality)],[895,1423,239]),
    [iquote('0:Rew:895.0,1423.0,239.0,1423.0')] ).

cnf(1474,plain,
    equal(s(index_21),index_30),
    inference(rew,[status(thm),theory(equality)],[1473,218]),
    [iquote('0:Rew:1473.0,218.0')] ).

cnf(1475,plain,
    equal(rstore_tail(queue_23,index_30),queue_25),
    inference(rew,[status(thm),theory(equality)],[1473,324]),
    [iquote('0:Rew:1473.0,324.0')] ).

cnf(1483,plain,
    equal(index_255,index_261),
    inference(rew,[status(thm),theory(equality)],[893,1424,228]),
    [iquote('0:Rew:893.0,1424.0,228.0,1424.0')] ).

cnf(1484,plain,
    equal(s(index_252),index_261),
    inference(rew,[status(thm),theory(equality)],[1483,224]),
    [iquote('0:Rew:1483.0,224.0')] ).

cnf(1485,plain,
    equal(rstore_tail(queue_254,index_261),queue_256),
    inference(rew,[status(thm),theory(equality)],[1483,327]),
    [iquote('0:Rew:1483.0,327.0')] ).

cnf(1493,plain,
    equal(index_228,index_240),
    inference(rew,[status(thm),theory(equality)],[898,1425,219]),
    [iquote('0:Rew:898.0,1425.0,219.0,1425.0')] ).

cnf(1494,plain,
    equal(s(index_225),index_240),
    inference(rew,[status(thm),theory(equality)],[1493,213]),
    [iquote('0:Rew:1493.0,213.0')] ).

cnf(1495,plain,
    equal(rstore_tail(queue_227,index_240),queue_229),
    inference(rew,[status(thm),theory(equality)],[1493,316]),
    [iquote('0:Rew:1493.0,316.0')] ).

cnf(1503,plain,
    equal(index_207,index_213),
    inference(rew,[status(thm),theory(equality)],[901,1426,208]),
    [iquote('0:Rew:901.0,1426.0,208.0,1426.0')] ).

cnf(1504,plain,
    equal(s(index_204),index_213),
    inference(rew,[status(thm),theory(equality)],[1503,204]),
    [iquote('0:Rew:1503.0,204.0')] ).

cnf(1505,plain,
    equal(rstore_tail(queue_206,index_213),queue_208),
    inference(rew,[status(thm),theory(equality)],[1503,309]),
    [iquote('0:Rew:1503.0,309.0')] ).

cnf(1513,plain,
    equal(index_186,index_192),
    inference(rew,[status(thm),theory(equality)],[905,1427,199]),
    [iquote('0:Rew:905.0,1427.0,199.0,1427.0')] ).

cnf(1514,plain,
    equal(s(index_183),index_192),
    inference(rew,[status(thm),theory(equality)],[1513,196]),
    [iquote('0:Rew:1513.0,196.0')] ).

cnf(1515,plain,
    equal(rstore_tail(queue_185,index_192),queue_187),
    inference(rew,[status(thm),theory(equality)],[1513,301]),
    [iquote('0:Rew:1513.0,301.0')] ).

cnf(1523,plain,
    equal(index_165,index_171),
    inference(rew,[status(thm),theory(equality)],[908,1428,190]),
    [iquote('0:Rew:908.0,1428.0,190.0,1428.0')] ).

cnf(1524,plain,
    equal(s(index_162),index_171),
    inference(rew,[status(thm),theory(equality)],[1523,187]),
    [iquote('0:Rew:1523.0,187.0')] ).

cnf(1525,plain,
    equal(rstore_tail(queue_164,index_171),queue_166),
    inference(rew,[status(thm),theory(equality)],[1523,293]),
    [iquote('0:Rew:1523.0,293.0')] ).

cnf(1533,plain,
    equal(index_156,index_234),
    inference(rew,[status(thm),theory(equality)],[909,1429,216]),
    [iquote('0:Rew:909.0,1429.0,216.0,1429.0')] ).

cnf(1534,plain,
    equal(s(index_153),index_234),
    inference(rew,[status(thm),theory(equality)],[1533,183]),
    [iquote('0:Rew:1533.0,183.0')] ).

cnf(1535,plain,
    equal(rstore_tail(queue_155,index_234),queue_157),
    inference(rew,[status(thm),theory(equality)],[1533,290]),
    [iquote('0:Rew:1533.0,290.0')] ).

cnf(1543,plain,
    equal(index_135,index_141),
    inference(rew,[status(thm),theory(equality)],[912,1430,177]),
    [iquote('0:Rew:912.0,1430.0,177.0,1430.0')] ).

cnf(1544,plain,
    equal(s(index_132),index_141),
    inference(rew,[status(thm),theory(equality)],[1543,174]),
    [iquote('0:Rew:1543.0,174.0')] ).

cnf(1545,plain,
    equal(rstore_tail(queue_134,index_141),queue_136),
    inference(rew,[status(thm),theory(equality)],[1543,283]),
    [iquote('0:Rew:1543.0,283.0')] ).

cnf(1553,plain,
    equal(index_114,index_120),
    inference(rew,[status(thm),theory(equality)],[916,1431,169]),
    [iquote('0:Rew:916.0,1431.0,169.0,1431.0')] ).

cnf(1554,plain,
    equal(s(index_111),index_120),
    inference(rew,[status(thm),theory(equality)],[1553,165]),
    [iquote('0:Rew:1553.0,165.0')] ).

cnf(1555,plain,
    equal(rstore_tail(queue_113,index_120),queue_115),
    inference(rew,[status(thm),theory(equality)],[1553,275]),
    [iquote('0:Rew:1553.0,275.0')] ).

cnf(1563,plain,
    equal(index_0,index_3),
    inference(rew,[status(thm),theory(equality)],[160,1432,238]),
    [iquote('0:Rew:160.0,1432.0,238.0,1432.0')] ).

cnf(1566,plain,
    equal(rselect_head(q0),index_3),
    inference(rew,[status(thm),theory(equality)],[1563,1285]),
    [iquote('0:Rew:1563.0,1285.0')] ).

cnf(1572,plain,
    ~ equal(index_57,index_36),
    inference(rew,[status(thm),theory(equality)],[945,1461]),
    [iquote('0:Rew:945.0,1461.0')] ).

cnf(1866,plain,
    equal(rselect_head(queue_92),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[359,9]),
    [iquote('0:SpR:359.0,9.0')] ).

cnf(1867,plain,
    equal(rselect_head(queue_86),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[357,9]),
    [iquote('0:SpR:357.0,9.0')] ).

cnf(1868,plain,
    equal(rselect_head(queue_80),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[355,9]),
    [iquote('0:SpR:355.0,9.0')] ).

cnf(1869,plain,
    equal(rselect_head(queue_74),rselect_head(q18)),
    inference(spr,[status(thm),theory(equality)],[353,9]),
    [iquote('0:SpR:353.0,9.0')] ).

cnf(1870,plain,
    equal(rselect_head(queue_65),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[349,9]),
    [iquote('0:SpR:349.0,9.0')] ).

cnf(1871,plain,
    equal(rselect_head(queue_59),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[347,9]),
    [iquote('0:SpR:347.0,9.0')] ).

cnf(1872,plain,
    equal(rselect_head(queue_53),rselect_head(q15)),
    inference(spr,[status(thm),theory(equality)],[345,9]),
    [iquote('0:SpR:345.0,9.0')] ).

cnf(1873,plain,
    equal(rselect_head(queue_5),rselect_head(q0)),
    inference(spr,[status(thm),theory(equality)],[344,9]),
    [iquote('0:SpR:344.0,9.0')] ).

cnf(1874,plain,
    equal(rselect_head(queue_44),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[341,9]),
    [iquote('0:SpR:341.0,9.0')] ).

cnf(1875,plain,
    equal(rselect_head(queue_38),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[339,9]),
    [iquote('0:SpR:339.0,9.0')] ).

cnf(1876,plain,
    equal(rselect_head(queue_32),rselect_head(q12)),
    inference(spr,[status(thm),theory(equality)],[337,9]),
    [iquote('0:SpR:337.0,9.0')] ).

cnf(1877,plain,
    equal(rselect_head(queue_275),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[333,9]),
    [iquote('0:SpR:333.0,9.0')] ).

cnf(1878,plain,
    equal(rselect_head(queue_269),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[331,9]),
    [iquote('0:SpR:331.0,9.0')] ).

cnf(1879,plain,
    equal(rselect_head(queue_263),rselect_head(q6)),
    inference(spr,[status(thm),theory(equality)],[329,9]),
    [iquote('0:SpR:329.0,9.0')] ).

cnf(1880,plain,
    equal(rselect_head(queue_254),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[326,9]),
    [iquote('0:SpR:326.0,9.0')] ).

cnf(1881,plain,
    equal(rselect_head(queue_248),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[323,9]),
    [iquote('0:SpR:323.0,9.0')] ).

cnf(1882,plain,
    equal(rselect_head(queue_242),rselect_head(q39)),
    inference(spr,[status(thm),theory(equality)],[321,9]),
    [iquote('0:SpR:321.0,9.0')] ).

cnf(1883,plain,
    equal(rselect_head(queue_236),rselect_head(q3)),
    inference(spr,[status(thm),theory(equality)],[319,9]),
    [iquote('0:SpR:319.0,9.0')] ).

cnf(1884,plain,
    equal(rselect_head(queue_23),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[317,9]),
    [iquote('0:SpR:317.0,9.0')] ).

cnf(1885,plain,
    equal(rselect_head(queue_227),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[315,9]),
    [iquote('0:SpR:315.0,9.0')] ).

cnf(1886,plain,
    equal(rselect_head(queue_221),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[313,9]),
    [iquote('0:SpR:313.0,9.0')] ).

cnf(1887,plain,
    equal(rselect_head(queue_215),rselect_head(q36)),
    inference(spr,[status(thm),theory(equality)],[311,9]),
    [iquote('0:SpR:311.0,9.0')] ).

cnf(1888,plain,
    equal(rselect_head(queue_206),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[308,9]),
    [iquote('0:SpR:308.0,9.0')] ).

cnf(1889,plain,
    equal(rselect_head(queue_200),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[306,9]),
    [iquote('0:SpR:306.0,9.0')] ).

cnf(1890,plain,
    equal(rselect_head(queue_194),rselect_head(q33)),
    inference(spr,[status(thm),theory(equality)],[304,9]),
    [iquote('0:SpR:304.0,9.0')] ).

cnf(1891,plain,
    equal(rselect_head(queue_185),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[300,9]),
    [iquote('0:SpR:300.0,9.0')] ).

cnf(1892,plain,
    equal(rselect_head(queue_179),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[298,9]),
    [iquote('0:SpR:298.0,9.0')] ).

cnf(1893,plain,
    equal(rselect_head(queue_173),rselect_head(q30)),
    inference(spr,[status(thm),theory(equality)],[296,9]),
    [iquote('0:SpR:296.0,9.0')] ).

cnf(1894,plain,
    equal(rselect_head(queue_17),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[295,9]),
    [iquote('0:SpR:295.0,9.0')] ).

cnf(1895,plain,
    equal(rselect_head(queue_164),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[292,9]),
    [iquote('0:SpR:292.0,9.0')] ).

cnf(1896,plain,
    equal(rselect_head(queue_155),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[289,9]),
    [iquote('0:SpR:289.0,9.0')] ).

cnf(1897,plain,
    equal(rselect_head(queue_149),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[287,9]),
    [iquote('0:SpR:287.0,9.0')] ).

cnf(1898,plain,
    equal(rselect_head(queue_143),rselect_head(q27)),
    inference(spr,[status(thm),theory(equality)],[285,9]),
    [iquote('0:SpR:285.0,9.0')] ).

cnf(1899,plain,
    equal(rselect_head(queue_134),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[282,9]),
    [iquote('0:SpR:282.0,9.0')] ).

cnf(1900,plain,
    equal(rselect_head(queue_128),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[279,9]),
    [iquote('0:SpR:279.0,9.0')] ).

cnf(1901,plain,
    equal(rselect_head(queue_122),rselect_head(q24)),
    inference(spr,[status(thm),theory(equality)],[277,9]),
    [iquote('0:SpR:277.0,9.0')] ).

cnf(1902,plain,
    equal(rselect_head(queue_113),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[274,9]),
    [iquote('0:SpR:274.0,9.0')] ).

cnf(1903,plain,
    equal(rselect_head(queue_11),rselect_head(q9)),
    inference(spr,[status(thm),theory(equality)],[273,9]),
    [iquote('0:SpR:273.0,9.0')] ).

cnf(1904,plain,
    equal(rselect_head(queue_107),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[271,9]),
    [iquote('0:SpR:271.0,9.0')] ).

cnf(1905,plain,
    equal(rselect_head(queue_101),rselect_head(q21)),
    inference(spr,[status(thm),theory(equality)],[269,9]),
    [iquote('0:SpR:269.0,9.0')] ).

cnf(1906,plain,
    equal(rselect_head(queue_74),index_69),
    inference(rew,[status(thm),theory(equality)],[1273,1869]),
    [iquote('0:Rew:1273.0,1869.0')] ).

cnf(1907,plain,
    equal(rselect_head(queue_53),index_48),
    inference(rew,[status(thm),theory(equality)],[1274,1872]),
    [iquote('0:Rew:1274.0,1872.0')] ).

cnf(1908,plain,
    equal(rselect_head(queue_5),index_3),
    inference(rew,[status(thm),theory(equality)],[1566,1873]),
    [iquote('0:Rew:1566.0,1873.0')] ).

cnf(1909,plain,
    equal(rselect_head(queue_32),index_27),
    inference(rew,[status(thm),theory(equality)],[1276,1876]),
    [iquote('0:Rew:1276.0,1876.0')] ).

cnf(1910,plain,
    equal(rselect_head(queue_263),index_258),
    inference(rew,[status(thm),theory(equality)],[1277,1879]),
    [iquote('0:Rew:1277.0,1879.0')] ).

cnf(1911,plain,
    equal(rselect_head(queue_242),index_231),
    inference(rew,[status(thm),theory(equality)],[1278,1882]),
    [iquote('0:Rew:1278.0,1882.0')] ).

cnf(1912,plain,
    equal(rselect_head(queue_236),index_159),
    inference(rew,[status(thm),theory(equality)],[1282,1883]),
    [iquote('0:Rew:1282.0,1883.0')] ).

cnf(1913,plain,
    equal(rselect_head(queue_215),index_210),
    inference(rew,[status(thm),theory(equality)],[1279,1887]),
    [iquote('0:Rew:1279.0,1887.0')] ).

cnf(1914,plain,
    equal(rselect_head(queue_194),index_189),
    inference(rew,[status(thm),theory(equality)],[1280,1890]),
    [iquote('0:Rew:1280.0,1890.0')] ).

cnf(1915,plain,
    equal(rselect_head(queue_173),index_168),
    inference(rew,[status(thm),theory(equality)],[1281,1893]),
    [iquote('0:Rew:1281.0,1893.0')] ).

cnf(1916,plain,
    equal(rselect_head(queue_143),index_138),
    inference(rew,[status(thm),theory(equality)],[1283,1898]),
    [iquote('0:Rew:1283.0,1898.0')] ).

cnf(1917,plain,
    equal(rselect_head(queue_122),index_117),
    inference(rew,[status(thm),theory(equality)],[1284,1901]),
    [iquote('0:Rew:1284.0,1901.0')] ).

cnf(1918,plain,
    equal(rselect_head(queue_11),index_279),
    inference(rew,[status(thm),theory(equality)],[1275,1903]),
    [iquote('0:Rew:1275.0,1903.0')] ).

cnf(1919,plain,
    equal(rselect_head(queue_101),index_96),
    inference(rew,[status(thm),theory(equality)],[1272,1905]),
    [iquote('0:Rew:1272.0,1905.0')] ).

cnf(1921,plain,
    equal(rselect_head(queue_242),rselect_head(q40)),
    inference(spr,[status(thm),theory(equality)],[421,8]),
    [iquote('0:SpR:421.0,8.0')] ).

cnf(1922,plain,
    equal(rselect_head(queue_86),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[921,8]),
    [iquote('0:SpR:921.0,8.0')] ).

cnf(1923,plain,
    equal(rselect_head(queue_80),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[926,8]),
    [iquote('0:SpR:926.0,8.0')] ).

cnf(1924,plain,
    equal(rselect_head(queue_74),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[931,8]),
    [iquote('0:SpR:931.0,8.0')] ).

cnf(1925,plain,
    equal(rselect_head(queue_5),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[936,8]),
    [iquote('0:SpR:936.0,8.0')] ).

cnf(1926,plain,
    equal(rselect_head(queue_59),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[941,8]),
    [iquote('0:SpR:941.0,8.0')] ).

cnf(1927,plain,
    equal(rselect_head(queue_53),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[946,8]),
    [iquote('0:SpR:946.0,8.0')] ).

cnf(1928,plain,
    equal(rselect_head(queue_38),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[951,8]),
    [iquote('0:SpR:951.0,8.0')] ).

cnf(1929,plain,
    equal(rselect_head(queue_32),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[956,8]),
    [iquote('0:SpR:956.0,8.0')] ).

cnf(1930,plain,
    equal(rselect_head(queue_269),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[961,8]),
    [iquote('0:SpR:961.0,8.0')] ).

cnf(1931,plain,
    equal(rselect_head(queue_263),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[966,8]),
    [iquote('0:SpR:966.0,8.0')] ).

cnf(1932,plain,
    equal(rselect_head(queue_248),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[971,8]),
    [iquote('0:SpR:971.0,8.0')] ).

cnf(1933,plain,
    equal(rselect_head(queue_236),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[976,8]),
    [iquote('0:SpR:976.0,8.0')] ).

cnf(1934,plain,
    equal(rselect_head(queue_221),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[981,8]),
    [iquote('0:SpR:981.0,8.0')] ).

cnf(1935,plain,
    equal(rselect_head(queue_215),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[986,8]),
    [iquote('0:SpR:986.0,8.0')] ).

cnf(1936,plain,
    equal(rselect_head(queue_200),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[991,8]),
    [iquote('0:SpR:991.0,8.0')] ).

cnf(1937,plain,
    equal(rselect_head(queue_194),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[996,8]),
    [iquote('0:SpR:996.0,8.0')] ).

cnf(1938,plain,
    equal(rselect_head(queue_17),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[1001,8]),
    [iquote('0:SpR:1001.0,8.0')] ).

cnf(1939,plain,
    equal(rselect_head(queue_179),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[1006,8]),
    [iquote('0:SpR:1006.0,8.0')] ).

cnf(1940,plain,
    equal(rselect_head(queue_173),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[1011,8]),
    [iquote('0:SpR:1011.0,8.0')] ).

cnf(1941,plain,
    equal(rselect_head(queue_149),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[1016,8]),
    [iquote('0:SpR:1016.0,8.0')] ).

cnf(1942,plain,
    equal(rselect_head(queue_143),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[1021,8]),
    [iquote('0:SpR:1021.0,8.0')] ).

cnf(1943,plain,
    equal(rselect_head(queue_128),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[1026,8]),
    [iquote('0:SpR:1026.0,8.0')] ).

cnf(1944,plain,
    equal(rselect_head(queue_11),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[1031,8]),
    [iquote('0:SpR:1031.0,8.0')] ).

cnf(1945,plain,
    equal(rselect_head(queue_122),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[1036,8]),
    [iquote('0:SpR:1036.0,8.0')] ).

cnf(1946,plain,
    equal(rselect_head(queue_107),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[1041,8]),
    [iquote('0:SpR:1041.0,8.0')] ).

cnf(1947,plain,
    equal(rselect_head(queue_101),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[1046,8]),
    [iquote('0:SpR:1046.0,8.0')] ).

cnf(1948,plain,
    equal(rselect_head(queue_92),rselect_head(queue_94)),
    inference(spr,[status(thm),theory(equality)],[1435,8]),
    [iquote('0:SpR:1435.0,8.0')] ).

cnf(1949,plain,
    equal(rselect_head(queue_65),rselect_head(queue_67)),
    inference(spr,[status(thm),theory(equality)],[1445,8]),
    [iquote('0:SpR:1445.0,8.0')] ).

cnf(1950,plain,
    equal(rselect_head(queue_44),rselect_head(queue_46)),
    inference(spr,[status(thm),theory(equality)],[1455,8]),
    [iquote('0:SpR:1455.0,8.0')] ).

cnf(1951,plain,
    equal(rselect_head(queue_275),rselect_head(queue_277)),
    inference(spr,[status(thm),theory(equality)],[1465,8]),
    [iquote('0:SpR:1465.0,8.0')] ).

cnf(1952,plain,
    equal(rselect_head(queue_23),rselect_head(queue_25)),
    inference(spr,[status(thm),theory(equality)],[1475,8]),
    [iquote('0:SpR:1475.0,8.0')] ).

cnf(1953,plain,
    equal(rselect_head(queue_254),rselect_head(queue_256)),
    inference(spr,[status(thm),theory(equality)],[1485,8]),
    [iquote('0:SpR:1485.0,8.0')] ).

cnf(1954,plain,
    equal(rselect_head(queue_227),rselect_head(queue_229)),
    inference(spr,[status(thm),theory(equality)],[1495,8]),
    [iquote('0:SpR:1495.0,8.0')] ).

cnf(1955,plain,
    equal(rselect_head(queue_206),rselect_head(queue_208)),
    inference(spr,[status(thm),theory(equality)],[1505,8]),
    [iquote('0:SpR:1505.0,8.0')] ).

cnf(1956,plain,
    equal(rselect_head(queue_185),rselect_head(queue_187)),
    inference(spr,[status(thm),theory(equality)],[1515,8]),
    [iquote('0:SpR:1515.0,8.0')] ).

cnf(1957,plain,
    equal(rselect_head(queue_164),rselect_head(queue_166)),
    inference(spr,[status(thm),theory(equality)],[1525,8]),
    [iquote('0:SpR:1525.0,8.0')] ).

cnf(1958,plain,
    equal(rselect_head(queue_155),rselect_head(queue_157)),
    inference(spr,[status(thm),theory(equality)],[1535,8]),
    [iquote('0:SpR:1535.0,8.0')] ).

cnf(1959,plain,
    equal(rselect_head(queue_134),rselect_head(queue_136)),
    inference(spr,[status(thm),theory(equality)],[1545,8]),
    [iquote('0:SpR:1545.0,8.0')] ).

cnf(1960,plain,
    equal(rselect_head(queue_113),rselect_head(queue_115)),
    inference(spr,[status(thm),theory(equality)],[1555,8]),
    [iquote('0:SpR:1555.0,8.0')] ).

cnf(1961,plain,
    equal(rselect_head(queue_242),index_282),
    inference(rew,[status(thm),theory(equality)],[237,1921]),
    [iquote('0:Rew:237.0,1921.0')] ).

cnf(1962,plain,
    equal(index_231,index_282),
    inference(rew,[status(thm),theory(equality)],[1911,1961]),
    [iquote('0:Rew:1911.0,1961.0')] ).

cnf(1963,plain,
    equal(s(index_230),index_282),
    inference(rew,[status(thm),theory(equality)],[1962,215]),
    [iquote('0:Rew:1962.0,215.0')] ).

cnf(1964,plain,
    equal(rstore_head(queue_229,index_282),q39),
    inference(rew,[status(thm),theory(equality)],[1962,423]),
    [iquote('0:Rew:1962.0,423.0')] ).

cnf(1970,plain,
    equal(rselect_head(q20),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[1867,1922]),
    [iquote('0:Rew:1867.0,1922.0')] ).

cnf(1971,plain,
    equal(rselect_head(queue_92),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[1970,1866]),
    [iquote('0:Rew:1970.0,1866.0')] ).

cnf(1972,plain,
    equal(rselect_head(q1),rselect_head(q2)),
    inference(rew,[status(thm),theory(equality)],[1868,1923]),
    [iquote('0:Rew:1868.0,1923.0')] ).

cnf(1974,plain,
    equal(rselect_head(q19),index_69),
    inference(rew,[status(thm),theory(equality)],[1906,1924]),
    [iquote('0:Rew:1906.0,1924.0')] ).

cnf(1977,plain,
    equal(rselect_head(q2),index_3),
    inference(rew,[status(thm),theory(equality)],[1908,1925,1972]),
    [iquote('0:Rew:1908.0,1925.0,1972.0,1925.0')] ).

cnf(1978,plain,
    equal(rselect_head(queue_155),index_3),
    inference(rew,[status(thm),theory(equality)],[1977,1896]),
    [iquote('0:Rew:1977.0,1896.0')] ).

cnf(1980,plain,
    equal(rselect_head(q17),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[1871,1926]),
    [iquote('0:Rew:1871.0,1926.0')] ).

cnf(1981,plain,
    equal(rselect_head(queue_65),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[1980,1870]),
    [iquote('0:Rew:1980.0,1870.0')] ).

cnf(1982,plain,
    equal(rselect_head(q16),index_48),
    inference(rew,[status(thm),theory(equality)],[1907,1927]),
    [iquote('0:Rew:1907.0,1927.0')] ).

cnf(1985,plain,
    equal(rselect_head(q14),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[1875,1928]),
    [iquote('0:Rew:1875.0,1928.0')] ).

cnf(1986,plain,
    equal(rselect_head(queue_44),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[1985,1874]),
    [iquote('0:Rew:1985.0,1874.0')] ).

cnf(1987,plain,
    equal(rselect_head(q13),index_27),
    inference(rew,[status(thm),theory(equality)],[1909,1929]),
    [iquote('0:Rew:1909.0,1929.0')] ).

cnf(1990,plain,
    equal(rselect_head(q8),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[1878,1930]),
    [iquote('0:Rew:1878.0,1930.0')] ).

cnf(1991,plain,
    equal(rselect_head(queue_275),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[1990,1877]),
    [iquote('0:Rew:1990.0,1877.0')] ).

cnf(1992,plain,
    equal(rselect_head(q7),index_258),
    inference(rew,[status(thm),theory(equality)],[1910,1931]),
    [iquote('0:Rew:1910.0,1931.0')] ).

cnf(1995,plain,
    equal(rselect_head(q5),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[1881,1932]),
    [iquote('0:Rew:1881.0,1932.0')] ).

cnf(1996,plain,
    equal(rselect_head(queue_254),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[1995,1880]),
    [iquote('0:Rew:1995.0,1880.0')] ).

cnf(1997,plain,
    equal(rselect_head(q4),index_159),
    inference(rew,[status(thm),theory(equality)],[1912,1933]),
    [iquote('0:Rew:1912.0,1933.0')] ).

cnf(2000,plain,
    equal(rselect_head(q38),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[1886,1934]),
    [iquote('0:Rew:1886.0,1934.0')] ).

cnf(2001,plain,
    equal(rselect_head(queue_227),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[2000,1885]),
    [iquote('0:Rew:2000.0,1885.0')] ).

cnf(2002,plain,
    equal(rselect_head(q37),index_210),
    inference(rew,[status(thm),theory(equality)],[1913,1935]),
    [iquote('0:Rew:1913.0,1935.0')] ).

cnf(2005,plain,
    equal(rselect_head(q35),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[1889,1936]),
    [iquote('0:Rew:1889.0,1936.0')] ).

cnf(2006,plain,
    equal(rselect_head(queue_206),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[2005,1888]),
    [iquote('0:Rew:2005.0,1888.0')] ).

cnf(2007,plain,
    equal(rselect_head(q34),index_189),
    inference(rew,[status(thm),theory(equality)],[1914,1937]),
    [iquote('0:Rew:1914.0,1937.0')] ).

cnf(2010,plain,
    equal(rselect_head(q11),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[1894,1938]),
    [iquote('0:Rew:1894.0,1938.0')] ).

cnf(2011,plain,
    equal(rselect_head(queue_23),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2010,1884]),
    [iquote('0:Rew:2010.0,1884.0')] ).

cnf(2012,plain,
    equal(rselect_head(q32),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[1892,1939]),
    [iquote('0:Rew:1892.0,1939.0')] ).

cnf(2013,plain,
    equal(rselect_head(queue_185),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[2012,1891]),
    [iquote('0:Rew:2012.0,1891.0')] ).

cnf(2014,plain,
    equal(rselect_head(q31),index_168),
    inference(rew,[status(thm),theory(equality)],[1915,1940]),
    [iquote('0:Rew:1915.0,1940.0')] ).

cnf(2017,plain,
    equal(rselect_head(q29),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[1897,1941]),
    [iquote('0:Rew:1897.0,1941.0')] ).

cnf(2018,plain,
    equal(rselect_head(queue_164),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[2017,1895]),
    [iquote('0:Rew:2017.0,1895.0')] ).

cnf(2019,plain,
    equal(rselect_head(q28),index_138),
    inference(rew,[status(thm),theory(equality)],[1916,1942]),
    [iquote('0:Rew:1916.0,1942.0')] ).

cnf(2022,plain,
    equal(rselect_head(q26),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[1900,1943]),
    [iquote('0:Rew:1900.0,1943.0')] ).

cnf(2023,plain,
    equal(rselect_head(queue_134),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[2022,1899]),
    [iquote('0:Rew:2022.0,1899.0')] ).

cnf(2024,plain,
    equal(rselect_head(q10),index_279),
    inference(rew,[status(thm),theory(equality)],[1918,1944]),
    [iquote('0:Rew:1918.0,1944.0')] ).

cnf(2027,plain,
    equal(rselect_head(q25),index_117),
    inference(rew,[status(thm),theory(equality)],[1917,1945]),
    [iquote('0:Rew:1917.0,1945.0')] ).

cnf(2030,plain,
    equal(rselect_head(q23),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[1904,1946]),
    [iquote('0:Rew:1904.0,1946.0')] ).

cnf(2031,plain,
    equal(rselect_head(queue_113),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[2030,1902]),
    [iquote('0:Rew:2030.0,1902.0')] ).

cnf(2032,plain,
    equal(rselect_head(q22),index_96),
    inference(rew,[status(thm),theory(equality)],[1919,1947]),
    [iquote('0:Rew:1919.0,1947.0')] ).

cnf(2035,plain,
    equal(rselect_head(queue_92),index_95),
    inference(rew,[status(thm),theory(equality)],[265,1948]),
    [iquote('0:Rew:265.0,1948.0')] ).

cnf(2036,plain,
    equal(rselect_head(queue_65),index_68),
    inference(rew,[status(thm),theory(equality)],[254,1949]),
    [iquote('0:Rew:254.0,1949.0')] ).

cnf(2037,plain,
    equal(rselect_head(queue_44),index_47),
    inference(rew,[status(thm),theory(equality)],[245,1950]),
    [iquote('0:Rew:245.0,1950.0')] ).

cnf(2038,plain,
    equal(rselect_head(queue_275),index_278),
    inference(rew,[status(thm),theory(equality)],[235,1951]),
    [iquote('0:Rew:235.0,1951.0')] ).

cnf(2039,plain,
    equal(rselect_head(queue_23),index_26),
    inference(rew,[status(thm),theory(equality)],[227,1952]),
    [iquote('0:Rew:227.0,1952.0')] ).

cnf(2040,plain,
    equal(rselect_head(queue_254),index_257),
    inference(rew,[status(thm),theory(equality)],[225,1953]),
    [iquote('0:Rew:225.0,1953.0')] ).

cnf(2041,plain,
    equal(rselect_head(queue_227),index_230),
    inference(rew,[status(thm),theory(equality)],[214,1954]),
    [iquote('0:Rew:214.0,1954.0')] ).

cnf(2042,plain,
    equal(rselect_head(queue_206),index_209),
    inference(rew,[status(thm),theory(equality)],[205,1955]),
    [iquote('0:Rew:205.0,1955.0')] ).

cnf(2043,plain,
    equal(rselect_head(queue_185),index_188),
    inference(rew,[status(thm),theory(equality)],[197,1956]),
    [iquote('0:Rew:197.0,1956.0')] ).

cnf(2044,plain,
    equal(rselect_head(queue_164),index_167),
    inference(rew,[status(thm),theory(equality)],[188,1957]),
    [iquote('0:Rew:188.0,1957.0')] ).

cnf(2045,plain,
    equal(rselect_head(queue_155),index_158),
    inference(rew,[status(thm),theory(equality)],[184,1958]),
    [iquote('0:Rew:184.0,1958.0')] ).

cnf(2046,plain,
    equal(index_158,index_3),
    inference(rew,[status(thm),theory(equality)],[1978,2045]),
    [iquote('0:Rew:1978.0,2045.0')] ).

cnf(2047,plain,
    equal(s(index_3),index_159),
    inference(rew,[status(thm),theory(equality)],[2046,185]),
    [iquote('0:Rew:2046.0,185.0')] ).

cnf(2052,plain,
    equal(index_159,index_78),
    inference(rew,[status(thm),theory(equality)],[935,2047]),
    [iquote('0:Rew:935.0,2047.0')] ).

cnf(2056,plain,
    equal(rselect_head(q4),index_78),
    inference(rew,[status(thm),theory(equality)],[2052,1997]),
    [iquote('0:Rew:2052.0,1997.0')] ).

cnf(2060,plain,
    equal(rselect_head(queue_134),index_137),
    inference(rew,[status(thm),theory(equality)],[175,1959]),
    [iquote('0:Rew:175.0,1959.0')] ).

cnf(2061,plain,
    equal(rselect_head(queue_113),index_116),
    inference(rew,[status(thm),theory(equality)],[166,1960]),
    [iquote('0:Rew:166.0,1960.0')] ).

cnf(2062,plain,
    equal(index_95,index_69),
    inference(rew,[status(thm),theory(equality)],[2035,1971,1974]),
    [iquote('0:Rew:2035.0,1971.0,1974.0,1971.0')] ).

cnf(2063,plain,
    equal(s(index_69),index_96),
    inference(rew,[status(thm),theory(equality)],[2062,266]),
    [iquote('0:Rew:2062.0,266.0')] ).

cnf(2072,plain,
    equal(index_68,index_48),
    inference(rew,[status(thm),theory(equality)],[2036,1981,1982]),
    [iquote('0:Rew:2036.0,1981.0,1982.0,1981.0')] ).

cnf(2073,plain,
    equal(s(index_48),index_69),
    inference(rew,[status(thm),theory(equality)],[2072,255]),
    [iquote('0:Rew:2072.0,255.0')] ).

cnf(2080,plain,
    equal(index_47,index_27),
    inference(rew,[status(thm),theory(equality)],[2037,1986,1987]),
    [iquote('0:Rew:2037.0,1986.0,1987.0,1986.0')] ).

cnf(2081,plain,
    equal(s(index_27),index_48),
    inference(rew,[status(thm),theory(equality)],[2080,246]),
    [iquote('0:Rew:2080.0,246.0')] ).

cnf(2088,plain,
    equal(index_278,index_258),
    inference(rew,[status(thm),theory(equality)],[2038,1991,1992]),
    [iquote('0:Rew:2038.0,1991.0,1992.0,1991.0')] ).

cnf(2089,plain,
    equal(s(index_258),index_279),
    inference(rew,[status(thm),theory(equality)],[2088,236]),
    [iquote('0:Rew:2088.0,236.0')] ).

cnf(2097,plain,
    equal(index_257,index_78),
    inference(rew,[status(thm),theory(equality)],[2040,1996,2056]),
    [iquote('0:Rew:2040.0,1996.0,2056.0,1996.0')] ).

cnf(2098,plain,
    equal(s(index_78),index_258),
    inference(rew,[status(thm),theory(equality)],[2097,226]),
    [iquote('0:Rew:2097.0,226.0')] ).

cnf(2103,plain,
    equal(index_258,index_153),
    inference(rew,[status(thm),theory(equality)],[925,2098]),
    [iquote('0:Rew:925.0,2098.0')] ).

cnf(2111,plain,
    equal(s(index_153),index_279),
    inference(rew,[status(thm),theory(equality)],[2103,2089]),
    [iquote('0:Rew:2103.0,2089.0')] ).

cnf(2116,plain,
    equal(index_279,index_234),
    inference(rew,[status(thm),theory(equality)],[1534,2111]),
    [iquote('0:Rew:1534.0,2111.0')] ).

cnf(2120,plain,
    equal(rselect_head(q10),index_234),
    inference(rew,[status(thm),theory(equality)],[2116,2024]),
    [iquote('0:Rew:2116.0,2024.0')] ).

cnf(2125,plain,
    equal(index_230,index_210),
    inference(rew,[status(thm),theory(equality)],[2041,2001,2002]),
    [iquote('0:Rew:2041.0,2001.0,2002.0,2001.0')] ).

cnf(2127,plain,
    equal(s(index_210),index_282),
    inference(rew,[status(thm),theory(equality)],[2125,1963]),
    [iquote('0:Rew:2125.0,1963.0')] ).

cnf(2133,plain,
    equal(index_209,index_189),
    inference(rew,[status(thm),theory(equality)],[2042,2006,2007]),
    [iquote('0:Rew:2042.0,2006.0,2007.0,2006.0')] ).

cnf(2134,plain,
    equal(s(index_189),index_210),
    inference(rew,[status(thm),theory(equality)],[2133,207]),
    [iquote('0:Rew:2133.0,207.0')] ).

cnf(2141,plain,
    equal(index_26,index_234),
    inference(rew,[status(thm),theory(equality)],[2039,2011,2120]),
    [iquote('0:Rew:2039.0,2011.0,2120.0,2011.0')] ).

cnf(2142,plain,
    equal(s(index_234),index_27),
    inference(rew,[status(thm),theory(equality)],[2141,231]),
    [iquote('0:Rew:2141.0,231.0')] ).

cnf(2147,plain,
    equal(index_27,index_246),
    inference(rew,[status(thm),theory(equality)],[975,2142]),
    [iquote('0:Rew:975.0,2142.0')] ).

cnf(2155,plain,
    equal(s(index_246),index_48),
    inference(rew,[status(thm),theory(equality)],[2147,2081]),
    [iquote('0:Rew:2147.0,2081.0')] ).

cnf(2161,plain,
    equal(index_48,index_252),
    inference(rew,[status(thm),theory(equality)],[970,2155]),
    [iquote('0:Rew:970.0,2155.0')] ).

cnf(2162,plain,
    equal(rstore_head(queue_46,index_252),q15),
    inference(rew,[status(thm),theory(equality)],[2161,412]),
    [iquote('0:Rew:2161.0,412.0')] ).

cnf(2169,plain,
    equal(s(index_252),index_69),
    inference(rew,[status(thm),theory(equality)],[2161,2073]),
    [iquote('0:Rew:2161.0,2073.0')] ).

cnf(2176,plain,
    equal(index_69,index_261),
    inference(rew,[status(thm),theory(equality)],[1484,2169]),
    [iquote('0:Rew:1484.0,2169.0')] ).

cnf(2177,plain,
    equal(rstore_head(queue_67,index_261),q18),
    inference(rew,[status(thm),theory(equality)],[2176,408]),
    [iquote('0:Rew:2176.0,408.0')] ).

cnf(2184,plain,
    equal(s(index_261),index_96),
    inference(rew,[status(thm),theory(equality)],[2176,2063]),
    [iquote('0:Rew:2176.0,2063.0')] ).

cnf(2190,plain,
    equal(index_96,index_267),
    inference(rew,[status(thm),theory(equality)],[965,2184]),
    [iquote('0:Rew:965.0,2184.0')] ).

cnf(2191,plain,
    equal(rstore_head(queue_94,index_267),q21),
    inference(rew,[status(thm),theory(equality)],[2190,404]),
    [iquote('0:Rew:2190.0,404.0')] ).

cnf(2194,plain,
    equal(rselect_head(q22),index_267),
    inference(rew,[status(thm),theory(equality)],[2190,2032]),
    [iquote('0:Rew:2190.0,2032.0')] ).

cnf(2199,plain,
    equal(index_188,index_168),
    inference(rew,[status(thm),theory(equality)],[2043,2013,2014]),
    [iquote('0:Rew:2043.0,2013.0,2014.0,2013.0')] ).

cnf(2200,plain,
    equal(s(index_168),index_189),
    inference(rew,[status(thm),theory(equality)],[2199,198]),
    [iquote('0:Rew:2199.0,198.0')] ).

cnf(2207,plain,
    equal(index_167,index_138),
    inference(rew,[status(thm),theory(equality)],[2044,2018,2019]),
    [iquote('0:Rew:2044.0,2018.0,2019.0,2018.0')] ).

cnf(2208,plain,
    equal(s(index_138),index_168),
    inference(rew,[status(thm),theory(equality)],[2207,189]),
    [iquote('0:Rew:2207.0,189.0')] ).

cnf(2215,plain,
    equal(index_137,index_117),
    inference(rew,[status(thm),theory(equality)],[2060,2023,2027]),
    [iquote('0:Rew:2060.0,2023.0,2027.0,2023.0')] ).

cnf(2216,plain,
    equal(s(index_117),index_138),
    inference(rew,[status(thm),theory(equality)],[2215,176]),
    [iquote('0:Rew:2215.0,176.0')] ).

cnf(2223,plain,
    equal(index_116,index_267),
    inference(rew,[status(thm),theory(equality)],[2061,2031,2194]),
    [iquote('0:Rew:2061.0,2031.0,2194.0,2031.0')] ).

cnf(2224,plain,
    equal(s(index_267),index_117),
    inference(rew,[status(thm),theory(equality)],[2223,167]),
    [iquote('0:Rew:2223.0,167.0')] ).

cnf(2229,plain,
    equal(index_117,index_273),
    inference(rew,[status(thm),theory(equality)],[960,2224]),
    [iquote('0:Rew:960.0,2224.0')] ).

cnf(2230,plain,
    equal(rstore_head(queue_115,index_273),q24),
    inference(rew,[status(thm),theory(equality)],[2229,441]),
    [iquote('0:Rew:2229.0,441.0')] ).

cnf(2237,plain,
    equal(s(index_273),index_138),
    inference(rew,[status(thm),theory(equality)],[2229,2216]),
    [iquote('0:Rew:2229.0,2216.0')] ).

cnf(2243,plain,
    equal(index_138,index_9),
    inference(rew,[status(thm),theory(equality)],[1464,2237]),
    [iquote('0:Rew:1464.0,2237.0')] ).

cnf(2244,plain,
    equal(rstore_head(queue_136,index_9),q27),
    inference(rew,[status(thm),theory(equality)],[2243,437]),
    [iquote('0:Rew:2243.0,437.0')] ).

cnf(2251,plain,
    equal(s(index_9),index_168),
    inference(rew,[status(thm),theory(equality)],[2243,2208]),
    [iquote('0:Rew:2243.0,2208.0')] ).

cnf(2258,plain,
    equal(index_168,index_15),
    inference(rew,[status(thm),theory(equality)],[1030,2251]),
    [iquote('0:Rew:1030.0,2251.0')] ).

cnf(2259,plain,
    equal(rstore_head(queue_166,index_15),q30),
    inference(rew,[status(thm),theory(equality)],[2258,433]),
    [iquote('0:Rew:2258.0,433.0')] ).

cnf(2266,plain,
    equal(s(index_15),index_189),
    inference(rew,[status(thm),theory(equality)],[2258,2200]),
    [iquote('0:Rew:2258.0,2200.0')] ).

cnf(2273,plain,
    equal(index_189,index_21),
    inference(rew,[status(thm),theory(equality)],[1000,2266]),
    [iquote('0:Rew:1000.0,2266.0')] ).

cnf(2274,plain,
    equal(rstore_head(queue_187,index_21),q33),
    inference(rew,[status(thm),theory(equality)],[2273,429]),
    [iquote('0:Rew:2273.0,429.0')] ).

cnf(2281,plain,
    equal(s(index_21),index_210),
    inference(rew,[status(thm),theory(equality)],[2273,2134]),
    [iquote('0:Rew:2273.0,2134.0')] ).

cnf(2288,plain,
    equal(index_210,index_30),
    inference(rew,[status(thm),theory(equality)],[1474,2281]),
    [iquote('0:Rew:1474.0,2281.0')] ).

cnf(2289,plain,
    equal(rstore_head(queue_208,index_30),q36),
    inference(rew,[status(thm),theory(equality)],[2288,426]),
    [iquote('0:Rew:2288.0,426.0')] ).

cnf(2297,plain,
    equal(s(index_30),index_282),
    inference(rew,[status(thm),theory(equality)],[2288,2127]),
    [iquote('0:Rew:2288.0,2127.0')] ).

cnf(2302,plain,
    equal(index_282,index_36),
    inference(rew,[status(thm),theory(equality)],[955,2297]),
    [iquote('0:Rew:955.0,2297.0')] ).

cnf(2304,plain,
    equal(select(earray_281,index_36),elem_283),
    inference(rew,[status(thm),theory(equality)],[2302,159]),
    [iquote('0:Rew:2302.0,159.0')] ).

cnf(2308,plain,
    equal(rstore_head(queue_229,index_36),q39),
    inference(rew,[status(thm),theory(equality)],[2302,1964]),
    [iquote('0:Rew:2302.0,1964.0')] ).

cnf(2532,plain,
    equal(rselect_seq(queue_242),rselect_seq(q40)),
    inference(spr,[status(thm),theory(equality)],[421,7]),
    [iquote('0:SpR:421.0,7.0')] ).

cnf(2533,plain,
    equal(rselect_seq(queue_86),rselect_seq(q20)),
    inference(spr,[status(thm),theory(equality)],[921,7]),
    [iquote('0:SpR:921.0,7.0')] ).

cnf(2535,plain,
    equal(rselect_seq(queue_74),rselect_seq(q19)),
    inference(spr,[status(thm),theory(equality)],[931,7]),
    [iquote('0:SpR:931.0,7.0')] ).

cnf(2537,plain,
    equal(rselect_seq(queue_59),rselect_seq(q17)),
    inference(spr,[status(thm),theory(equality)],[941,7]),
    [iquote('0:SpR:941.0,7.0')] ).

cnf(2538,plain,
    equal(rselect_seq(queue_53),rselect_seq(q16)),
    inference(spr,[status(thm),theory(equality)],[946,7]),
    [iquote('0:SpR:946.0,7.0')] ).

cnf(2539,plain,
    equal(rselect_seq(queue_38),rselect_seq(q14)),
    inference(spr,[status(thm),theory(equality)],[951,7]),
    [iquote('0:SpR:951.0,7.0')] ).

cnf(2540,plain,
    equal(rselect_seq(queue_32),rselect_seq(q13)),
    inference(spr,[status(thm),theory(equality)],[956,7]),
    [iquote('0:SpR:956.0,7.0')] ).

cnf(2545,plain,
    equal(rselect_seq(queue_221),rselect_seq(q38)),
    inference(spr,[status(thm),theory(equality)],[981,7]),
    [iquote('0:SpR:981.0,7.0')] ).

cnf(2546,plain,
    equal(rselect_seq(queue_215),rselect_seq(q37)),
    inference(spr,[status(thm),theory(equality)],[986,7]),
    [iquote('0:SpR:986.0,7.0')] ).

cnf(2547,plain,
    equal(rselect_seq(queue_200),rselect_seq(q35)),
    inference(spr,[status(thm),theory(equality)],[991,7]),
    [iquote('0:SpR:991.0,7.0')] ).

cnf(2548,plain,
    equal(rselect_seq(queue_194),rselect_seq(q34)),
    inference(spr,[status(thm),theory(equality)],[996,7]),
    [iquote('0:SpR:996.0,7.0')] ).

cnf(2550,plain,
    equal(rselect_seq(queue_179),rselect_seq(q32)),
    inference(spr,[status(thm),theory(equality)],[1006,7]),
    [iquote('0:SpR:1006.0,7.0')] ).

cnf(2551,plain,
    equal(rselect_seq(queue_173),rselect_seq(q31)),
    inference(spr,[status(thm),theory(equality)],[1011,7]),
    [iquote('0:SpR:1011.0,7.0')] ).

cnf(2552,plain,
    equal(rselect_seq(queue_149),rselect_seq(q29)),
    inference(spr,[status(thm),theory(equality)],[1016,7]),
    [iquote('0:SpR:1016.0,7.0')] ).

cnf(2553,plain,
    equal(rselect_seq(queue_143),rselect_seq(q28)),
    inference(spr,[status(thm),theory(equality)],[1021,7]),
    [iquote('0:SpR:1021.0,7.0')] ).

cnf(2554,plain,
    equal(rselect_seq(queue_128),rselect_seq(q26)),
    inference(spr,[status(thm),theory(equality)],[1026,7]),
    [iquote('0:SpR:1026.0,7.0')] ).

cnf(2556,plain,
    equal(rselect_seq(queue_122),rselect_seq(q25)),
    inference(spr,[status(thm),theory(equality)],[1036,7]),
    [iquote('0:SpR:1036.0,7.0')] ).

cnf(2557,plain,
    equal(rselect_seq(queue_107),rselect_seq(q23)),
    inference(spr,[status(thm),theory(equality)],[1041,7]),
    [iquote('0:SpR:1041.0,7.0')] ).

cnf(2558,plain,
    equal(rselect_seq(queue_101),rselect_seq(q22)),
    inference(spr,[status(thm),theory(equality)],[1046,7]),
    [iquote('0:SpR:1046.0,7.0')] ).

cnf(2559,plain,
    equal(rselect_seq(queue_92),rselect_seq(queue_94)),
    inference(spr,[status(thm),theory(equality)],[1435,7]),
    [iquote('0:SpR:1435.0,7.0')] ).

cnf(2560,plain,
    equal(rselect_seq(queue_65),rselect_seq(queue_67)),
    inference(spr,[status(thm),theory(equality)],[1445,7]),
    [iquote('0:SpR:1445.0,7.0')] ).

cnf(2561,plain,
    equal(rselect_seq(queue_44),rselect_seq(queue_46)),
    inference(spr,[status(thm),theory(equality)],[1455,7]),
    [iquote('0:SpR:1455.0,7.0')] ).

cnf(2565,plain,
    equal(rselect_seq(queue_227),rselect_seq(queue_229)),
    inference(spr,[status(thm),theory(equality)],[1495,7]),
    [iquote('0:SpR:1495.0,7.0')] ).

cnf(2566,plain,
    equal(rselect_seq(queue_206),rselect_seq(queue_208)),
    inference(spr,[status(thm),theory(equality)],[1505,7]),
    [iquote('0:SpR:1505.0,7.0')] ).

cnf(2567,plain,
    equal(rselect_seq(queue_185),rselect_seq(queue_187)),
    inference(spr,[status(thm),theory(equality)],[1515,7]),
    [iquote('0:SpR:1515.0,7.0')] ).

cnf(2568,plain,
    equal(rselect_seq(queue_164),rselect_seq(queue_166)),
    inference(spr,[status(thm),theory(equality)],[1525,7]),
    [iquote('0:SpR:1525.0,7.0')] ).

cnf(2570,plain,
    equal(rselect_seq(queue_134),rselect_seq(queue_136)),
    inference(spr,[status(thm),theory(equality)],[1545,7]),
    [iquote('0:SpR:1545.0,7.0')] ).

cnf(2571,plain,
    equal(rselect_seq(queue_113),rselect_seq(queue_115)),
    inference(spr,[status(thm),theory(equality)],[1555,7]),
    [iquote('0:SpR:1555.0,7.0')] ).

cnf(2572,plain,
    equal(earray_281,earray_241),
    inference(rew,[status(thm),theory(equality)],[1307,2532,135]),
    [iquote('0:Rew:1307.0,2532.0,135.0,2532.0')] ).

cnf(2574,plain,
    equal(select(earray_241,index_36),elem_283),
    inference(rew,[status(thm),theory(equality)],[2572,2304]),
    [iquote('0:Rew:2572.0,2304.0')] ).

cnf(2575,plain,
    equal(earray_89,earray_85),
    inference(rew,[status(thm),theory(equality)],[1292,2533,156]),
    [iquote('0:Rew:1292.0,2533.0,156.0,2533.0')] ).

cnf(2577,plain,
    equal(store(earray_85,index_90,e20),earray_91),
    inference(rew,[status(thm),theory(equality)],[2575,157]),
    [iquote('0:Rew:2575.0,157.0')] ).

cnf(2582,plain,
    equal(earray_83,earray_73),
    inference(rew,[status(thm),theory(equality)],[1294,2535,154]),
    [iquote('0:Rew:1294.0,2535.0,154.0,2535.0')] ).

cnf(2584,plain,
    equal(store(earray_73,index_84,e19),earray_85),
    inference(rew,[status(thm),theory(equality)],[2582,155]),
    [iquote('0:Rew:2582.0,155.0')] ).

cnf(2587,plain,
    equal(earray_62,earray_58),
    inference(rew,[status(thm),theory(equality)],[1296,2537,147]),
    [iquote('0:Rew:1296.0,2537.0,147.0,2537.0')] ).

cnf(2589,plain,
    equal(store(earray_58,index_63,e17),earray_64),
    inference(rew,[status(thm),theory(equality)],[2587,148]),
    [iquote('0:Rew:2587.0,148.0')] ).

cnf(2590,plain,
    equal(earray_56,earray_52),
    inference(rew,[status(thm),theory(equality)],[1297,2538,145]),
    [iquote('0:Rew:1297.0,2538.0,145.0,2538.0')] ).

cnf(2592,plain,
    equal(store(earray_52,index_57,e16),earray_58),
    inference(rew,[status(thm),theory(equality)],[2590,146]),
    [iquote('0:Rew:2590.0,146.0')] ).

cnf(2593,plain,
    equal(earray_41,earray_37),
    inference(rew,[status(thm),theory(equality)],[1300,2539,141]),
    [iquote('0:Rew:1300.0,2539.0,141.0,2539.0')] ).

cnf(2595,plain,
    equal(store(earray_37,index_42,e14),earray_43),
    inference(rew,[status(thm),theory(equality)],[2593,142]),
    [iquote('0:Rew:2593.0,142.0')] ).

cnf(2596,plain,
    equal(earray_35,earray_31),
    inference(rew,[status(thm),theory(equality)],[1301,2540,138]),
    [iquote('0:Rew:1301.0,2540.0,138.0,2540.0')] ).

cnf(2598,plain,
    equal(store(earray_31,index_36,e13),earray_37),
    inference(rew,[status(thm),theory(equality)],[2596,139]),
    [iquote('0:Rew:2596.0,139.0')] ).

cnf(2611,plain,
    equal(earray_224,earray_220),
    inference(rew,[status(thm),theory(equality)],[1311,2545,119]),
    [iquote('0:Rew:1311.0,2545.0,119.0,2545.0')] ).

cnf(2613,plain,
    equal(store(earray_220,index_225,e38),earray_226),
    inference(rew,[status(thm),theory(equality)],[2611,120]),
    [iquote('0:Rew:2611.0,120.0')] ).

cnf(2614,plain,
    equal(earray_218,earray_214),
    inference(rew,[status(thm),theory(equality)],[1312,2546,116]),
    [iquote('0:Rew:1312.0,2546.0,116.0,2546.0')] ).

cnf(2616,plain,
    equal(store(earray_214,index_219,e37),earray_220),
    inference(rew,[status(thm),theory(equality)],[2614,118]),
    [iquote('0:Rew:2614.0,118.0')] ).

cnf(2617,plain,
    equal(earray_203,earray_199),
    inference(rew,[status(thm),theory(equality)],[1314,2547,112]),
    [iquote('0:Rew:1314.0,2547.0,112.0,2547.0')] ).

cnf(2619,plain,
    equal(store(earray_199,index_204,e35),earray_205),
    inference(rew,[status(thm),theory(equality)],[2617,113]),
    [iquote('0:Rew:2617.0,113.0')] ).

cnf(2620,plain,
    equal(earray_197,earray_193),
    inference(rew,[status(thm),theory(equality)],[1315,2548,108]),
    [iquote('0:Rew:1315.0,2548.0,108.0,2548.0')] ).

cnf(2622,plain,
    equal(store(earray_193,index_198,e34),earray_199),
    inference(rew,[status(thm),theory(equality)],[2620,109]),
    [iquote('0:Rew:2620.0,109.0')] ).

cnf(2626,plain,
    equal(earray_182,earray_178),
    inference(rew,[status(thm),theory(equality)],[1317,2550,104]),
    [iquote('0:Rew:1317.0,2550.0,104.0,2550.0')] ).

cnf(2628,plain,
    equal(store(earray_178,index_183,e32),earray_184),
    inference(rew,[status(thm),theory(equality)],[2626,105]),
    [iquote('0:Rew:2626.0,105.0')] ).

cnf(2629,plain,
    equal(earray_176,earray_172),
    inference(rew,[status(thm),theory(equality)],[1318,2551,102]),
    [iquote('0:Rew:1318.0,2551.0,102.0,2551.0')] ).

cnf(2631,plain,
    equal(store(earray_172,index_177,e31),earray_178),
    inference(rew,[status(thm),theory(equality)],[2629,103]),
    [iquote('0:Rew:2629.0,103.0')] ).

cnf(2632,plain,
    equal(earray_161,earray_148),
    inference(rew,[status(thm),theory(equality)],[1322,2552,98]),
    [iquote('0:Rew:1322.0,2552.0,98.0,2552.0')] ).

cnf(2634,plain,
    equal(store(earray_148,index_162,e29),earray_163),
    inference(rew,[status(thm),theory(equality)],[2632,99]),
    [iquote('0:Rew:2632.0,99.0')] ).

cnf(2635,plain,
    equal(earray_146,earray_142),
    inference(rew,[status(thm),theory(equality)],[1323,2553,93]),
    [iquote('0:Rew:1323.0,2553.0,93.0,2553.0')] ).

cnf(2637,plain,
    equal(store(earray_142,index_147,e28),earray_148),
    inference(rew,[status(thm),theory(equality)],[2635,94]),
    [iquote('0:Rew:2635.0,94.0')] ).

cnf(2638,plain,
    equal(earray_131,earray_127),
    inference(rew,[status(thm),theory(equality)],[1325,2554,88]),
    [iquote('0:Rew:1325.0,2554.0,88.0,2554.0')] ).

cnf(2640,plain,
    equal(store(earray_127,index_132,e26),earray_133),
    inference(rew,[status(thm),theory(equality)],[2638,89]),
    [iquote('0:Rew:2638.0,89.0')] ).

cnf(2644,plain,
    equal(earray_125,earray_121),
    inference(rew,[status(thm),theory(equality)],[1326,2556,86]),
    [iquote('0:Rew:1326.0,2556.0,86.0,2556.0')] ).

cnf(2646,plain,
    equal(store(earray_121,index_126,e25),earray_127),
    inference(rew,[status(thm),theory(equality)],[2644,87]),
    [iquote('0:Rew:2644.0,87.0')] ).

cnf(2647,plain,
    equal(earray_110,earray_106),
    inference(rew,[status(thm),theory(equality)],[1329,2557,82]),
    [iquote('0:Rew:1329.0,2557.0,82.0,2557.0')] ).

cnf(2649,plain,
    equal(store(earray_106,index_111,e23),earray_112),
    inference(rew,[status(thm),theory(equality)],[2647,83]),
    [iquote('0:Rew:2647.0,83.0')] ).

cnf(2650,plain,
    equal(earray_104,earray_100),
    inference(rew,[status(thm),theory(equality)],[1330,2558,80]),
    [iquote('0:Rew:1330.0,2558.0,80.0,2558.0')] ).

cnf(2652,plain,
    equal(store(earray_100,index_105,e22),earray_106),
    inference(rew,[status(thm),theory(equality)],[2650,81]),
    [iquote('0:Rew:2650.0,81.0')] ).

cnf(2653,plain,
    equal(rselect_seq(queue_94),earray_91),
    inference(rew,[status(thm),theory(equality)],[1291,2559]),
    [iquote('0:Rew:1291.0,2559.0')] ).

cnf(2654,plain,
    equal(rselect_seq(queue_67),earray_64),
    inference(rew,[status(thm),theory(equality)],[1295,2560]),
    [iquote('0:Rew:1295.0,2560.0')] ).

cnf(2655,plain,
    equal(rselect_seq(queue_46),earray_43),
    inference(rew,[status(thm),theory(equality)],[1299,2561]),
    [iquote('0:Rew:1299.0,2561.0')] ).

cnf(2659,plain,
    equal(rselect_seq(queue_229),earray_226),
    inference(rew,[status(thm),theory(equality)],[1310,2565]),
    [iquote('0:Rew:1310.0,2565.0')] ).

cnf(2660,plain,
    equal(rselect_seq(queue_208),earray_205),
    inference(rew,[status(thm),theory(equality)],[1313,2566]),
    [iquote('0:Rew:1313.0,2566.0')] ).

cnf(2661,plain,
    equal(rselect_seq(queue_187),earray_184),
    inference(rew,[status(thm),theory(equality)],[1316,2567]),
    [iquote('0:Rew:1316.0,2567.0')] ).

cnf(2662,plain,
    equal(rselect_seq(queue_166),earray_163),
    inference(rew,[status(thm),theory(equality)],[1320,2568]),
    [iquote('0:Rew:1320.0,2568.0')] ).

cnf(2664,plain,
    equal(rselect_seq(queue_136),earray_133),
    inference(rew,[status(thm),theory(equality)],[1324,2570]),
    [iquote('0:Rew:1324.0,2570.0')] ).

cnf(2665,plain,
    equal(rselect_seq(queue_115),earray_112),
    inference(rew,[status(thm),theory(equality)],[1327,2571]),
    [iquote('0:Rew:1327.0,2571.0')] ).

cnf(2799,plain,
    equal(rselect_seq(queue_46),rselect_seq(q15)),
    inference(spr,[status(thm),theory(equality)],[2162,6]),
    [iquote('0:SpR:2162.0,6.0')] ).

cnf(2800,plain,
    equal(rselect_seq(queue_67),rselect_seq(q18)),
    inference(spr,[status(thm),theory(equality)],[2177,6]),
    [iquote('0:SpR:2177.0,6.0')] ).

cnf(2801,plain,
    equal(rselect_seq(queue_94),rselect_seq(q21)),
    inference(spr,[status(thm),theory(equality)],[2191,6]),
    [iquote('0:SpR:2191.0,6.0')] ).

cnf(2802,plain,
    equal(rselect_seq(queue_115),rselect_seq(q24)),
    inference(spr,[status(thm),theory(equality)],[2230,6]),
    [iquote('0:SpR:2230.0,6.0')] ).

cnf(2803,plain,
    equal(rselect_seq(queue_136),rselect_seq(q27)),
    inference(spr,[status(thm),theory(equality)],[2244,6]),
    [iquote('0:SpR:2244.0,6.0')] ).

cnf(2804,plain,
    equal(rselect_seq(queue_166),rselect_seq(q30)),
    inference(spr,[status(thm),theory(equality)],[2259,6]),
    [iquote('0:SpR:2259.0,6.0')] ).

cnf(2805,plain,
    equal(rselect_seq(queue_187),rselect_seq(q33)),
    inference(spr,[status(thm),theory(equality)],[2274,6]),
    [iquote('0:SpR:2274.0,6.0')] ).

cnf(2806,plain,
    equal(rselect_seq(queue_208),rselect_seq(q36)),
    inference(spr,[status(thm),theory(equality)],[2289,6]),
    [iquote('0:SpR:2289.0,6.0')] ).

cnf(2807,plain,
    equal(rselect_seq(queue_229),rselect_seq(q39)),
    inference(spr,[status(thm),theory(equality)],[2308,6]),
    [iquote('0:SpR:2308.0,6.0')] ).

cnf(2823,plain,
    equal(earray_50,earray_43),
    inference(rew,[status(thm),theory(equality)],[2655,2799,143]),
    [iquote('0:Rew:2655.0,2799.0,143.0,2799.0')] ).

cnf(2825,plain,
    equal(store(earray_43,index_51,e15),earray_52),
    inference(rew,[status(thm),theory(equality)],[2823,144]),
    [iquote('0:Rew:2823.0,144.0')] ).

cnf(2826,plain,
    equal(earray_71,earray_64),
    inference(rew,[status(thm),theory(equality)],[2654,2800,149]),
    [iquote('0:Rew:2654.0,2800.0,149.0,2800.0')] ).

cnf(2828,plain,
    equal(store(earray_64,index_72,e18),earray_73),
    inference(rew,[status(thm),theory(equality)],[2826,150]),
    [iquote('0:Rew:2826.0,150.0')] ).

cnf(2829,plain,
    equal(earray_91,earray_98),
    inference(rew,[status(thm),theory(equality)],[2653,2801,158]),
    [iquote('0:Rew:2653.0,2801.0,158.0,2801.0')] ).

cnf(2833,plain,
    equal(store(earray_85,index_90,e20),earray_98),
    inference(rew,[status(thm),theory(equality)],[2829,2577]),
    [iquote('0:Rew:2829.0,2577.0')] ).

cnf(2834,plain,
    equal(earray_119,earray_112),
    inference(rew,[status(thm),theory(equality)],[2665,2802,84]),
    [iquote('0:Rew:2665.0,2802.0,84.0,2802.0')] ).

cnf(2836,plain,
    equal(store(earray_112,index_120,e24),earray_121),
    inference(rew,[status(thm),theory(equality)],[2834,85]),
    [iquote('0:Rew:2834.0,85.0')] ).

cnf(2837,plain,
    equal(earray_140,earray_133),
    inference(rew,[status(thm),theory(equality)],[2664,2803,91]),
    [iquote('0:Rew:2664.0,2803.0,91.0,2803.0')] ).

cnf(2839,plain,
    equal(store(earray_133,index_141,e27),earray_142),
    inference(rew,[status(thm),theory(equality)],[2837,92]),
    [iquote('0:Rew:2837.0,92.0')] ).

cnf(2840,plain,
    equal(earray_170,earray_163),
    inference(rew,[status(thm),theory(equality)],[2662,2804,100]),
    [iquote('0:Rew:2662.0,2804.0,100.0,2804.0')] ).

cnf(2842,plain,
    equal(store(earray_163,index_171,e30),earray_172),
    inference(rew,[status(thm),theory(equality)],[2840,101]),
    [iquote('0:Rew:2840.0,101.0')] ).

cnf(2843,plain,
    equal(earray_191,earray_184),
    inference(rew,[status(thm),theory(equality)],[2661,2805,106]),
    [iquote('0:Rew:2661.0,2805.0,106.0,2805.0')] ).

cnf(2845,plain,
    equal(store(earray_184,index_192,e33),earray_193),
    inference(rew,[status(thm),theory(equality)],[2843,107]),
    [iquote('0:Rew:2843.0,107.0')] ).

cnf(2846,plain,
    equal(earray_212,earray_205),
    inference(rew,[status(thm),theory(equality)],[2660,2806,114]),
    [iquote('0:Rew:2660.0,2806.0,114.0,2806.0')] ).

cnf(2848,plain,
    equal(store(earray_205,index_213,e36),earray_214),
    inference(rew,[status(thm),theory(equality)],[2846,115]),
    [iquote('0:Rew:2846.0,115.0')] ).

cnf(2849,plain,
    equal(earray_239,earray_226),
    inference(rew,[status(thm),theory(equality)],[2659,2807,123]),
    [iquote('0:Rew:2659.0,2807.0,123.0,2807.0')] ).

cnf(2851,plain,
    equal(store(earray_226,index_240,e39),earray_241),
    inference(rew,[status(thm),theory(equality)],[2849,124]),
    [iquote('0:Rew:2849.0,124.0')] ).

cnf(2913,plain,
    ~ equal(s(s(s(index_42))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,74]),
    [iquote('0:SpL:950.0,74.0')] ).

cnf(2952,plain,
    ~ equal(index_63,index_36),
    inference(rew,[status(thm),theory(equality)],[940,2913,945,1454]),
    [iquote('0:Rew:940.0,2913.0,945.0,2913.0,1454.0,2913.0')] ).

cnf(2995,plain,
    equal(select(earray_37,index_36),e13),
    inference(spr,[status(thm),theory(equality)],[2598,1]),
    [iquote('0:SpR:2598.0,1.0')] ).

cnf(3033,plain,
    ~ equal(s(s(s(s(index_42)))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,73]),
    [iquote('0:SpL:950.0,73.0')] ).

cnf(3072,plain,
    ~ equal(index_72,index_36),
    inference(rew,[status(thm),theory(equality)],[1444,3033,940,945,1454]),
    [iquote('0:Rew:1444.0,3033.0,940.0,3033.0,945.0,3033.0,1454.0,3033.0')] ).

cnf(3112,plain,
    ~ equal(s(s(s(s(s(index_42))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,72]),
    [iquote('0:SpL:950.0,72.0')] ).

cnf(3151,plain,
    ~ equal(index_84,index_36),
    inference(rew,[status(thm),theory(equality)],[930,3112,1444,940,945,1454]),
    [iquote('0:Rew:930.0,3112.0,1444.0,3112.0,940.0,3112.0,945.0,3112.0,1454.0,3112.0')] ).

cnf(3191,plain,
    ~ equal(s(s(s(s(s(s(index_42)))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,71]),
    [iquote('0:SpL:950.0,71.0')] ).

cnf(3230,plain,
    ~ equal(index_90,index_36),
    inference(rew,[status(thm),theory(equality)],[920,3191,930,1444,940,945,1454]),
    [iquote('0:Rew:920.0,3191.0,930.0,3191.0,1444.0,3191.0,940.0,3191.0,945.0,3191.0,1454.0,3191.0')] ).

cnf(3270,plain,
    ~ equal(s(s(s(s(s(s(s(index_42))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,70]),
    [iquote('0:SpL:950.0,70.0')] ).

cnf(3309,plain,
    ~ equal(index_36,index_99),
    inference(rew,[status(thm),theory(equality)],[1434,3270,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1434.0,3270.0,920.0,3270.0,930.0,3270.0,1444.0,3270.0,940.0,3270.0,945.0,3270.0,1454.0,3270.0')] ).

cnf(3349,plain,
    ~ equal(s(s(s(s(s(s(s(s(index_42)))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,69]),
    [iquote('0:SpL:950.0,69.0')] ).

cnf(3388,plain,
    ~ equal(index_36,index_105),
    inference(rew,[status(thm),theory(equality)],[1045,3349,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1045.0,3349.0,1434.0,3349.0,920.0,3349.0,930.0,3349.0,1444.0,3349.0,940.0,3349.0,945.0,3349.0,1454.0,3349.0')] ).

cnf(3425,plain,
    ( equal(index_99,u)
    | equal(select(earray_98,u),select(earray_100,u)) ),
    inference(spr,[status(thm),theory(equality)],[79,2]),
    [iquote('0:SpR:79.0,2.1')] ).

cnf(3428,plain,
    ( equal(index_84,u)
    | equal(select(earray_85,u),select(earray_73,u)) ),
    inference(spr,[status(thm),theory(equality)],[2584,2]),
    [iquote('0:SpR:2584.0,2.1')] ).

cnf(3429,plain,
    ( equal(index_63,u)
    | equal(select(earray_64,u),select(earray_58,u)) ),
    inference(spr,[status(thm),theory(equality)],[2589,2]),
    [iquote('0:SpR:2589.0,2.1')] ).

cnf(3430,plain,
    ( equal(index_57,u)
    | equal(select(earray_58,u),select(earray_52,u)) ),
    inference(spr,[status(thm),theory(equality)],[2592,2]),
    [iquote('0:SpR:2592.0,2.1')] ).

cnf(3431,plain,
    ( equal(index_42,u)
    | equal(select(earray_43,u),select(earray_37,u)) ),
    inference(spr,[status(thm),theory(equality)],[2595,2]),
    [iquote('0:SpR:2595.0,2.1')] ).

cnf(3436,plain,
    ( equal(index_225,u)
    | equal(select(earray_226,u),select(earray_220,u)) ),
    inference(spr,[status(thm),theory(equality)],[2613,2]),
    [iquote('0:SpR:2613.0,2.1')] ).

cnf(3437,plain,
    ( equal(index_219,u)
    | equal(select(earray_220,u),select(earray_214,u)) ),
    inference(spr,[status(thm),theory(equality)],[2616,2]),
    [iquote('0:SpR:2616.0,2.1')] ).

cnf(3438,plain,
    ( equal(index_204,u)
    | equal(select(earray_205,u),select(earray_199,u)) ),
    inference(spr,[status(thm),theory(equality)],[2619,2]),
    [iquote('0:SpR:2619.0,2.1')] ).

cnf(3439,plain,
    ( equal(index_198,u)
    | equal(select(earray_199,u),select(earray_193,u)) ),
    inference(spr,[status(thm),theory(equality)],[2622,2]),
    [iquote('0:SpR:2622.0,2.1')] ).

cnf(3441,plain,
    ( equal(index_183,u)
    | equal(select(earray_184,u),select(earray_178,u)) ),
    inference(spr,[status(thm),theory(equality)],[2628,2]),
    [iquote('0:SpR:2628.0,2.1')] ).

cnf(3442,plain,
    ( equal(index_177,u)
    | equal(select(earray_178,u),select(earray_172,u)) ),
    inference(spr,[status(thm),theory(equality)],[2631,2]),
    [iquote('0:SpR:2631.0,2.1')] ).

cnf(3443,plain,
    ( equal(index_162,u)
    | equal(select(earray_163,u),select(earray_148,u)) ),
    inference(spr,[status(thm),theory(equality)],[2634,2]),
    [iquote('0:SpR:2634.0,2.1')] ).

cnf(3444,plain,
    ( equal(index_147,u)
    | equal(select(earray_148,u),select(earray_142,u)) ),
    inference(spr,[status(thm),theory(equality)],[2637,2]),
    [iquote('0:SpR:2637.0,2.1')] ).

cnf(3445,plain,
    ( equal(index_132,u)
    | equal(select(earray_133,u),select(earray_127,u)) ),
    inference(spr,[status(thm),theory(equality)],[2640,2]),
    [iquote('0:SpR:2640.0,2.1')] ).

cnf(3447,plain,
    ( equal(index_126,u)
    | equal(select(earray_127,u),select(earray_121,u)) ),
    inference(spr,[status(thm),theory(equality)],[2646,2]),
    [iquote('0:SpR:2646.0,2.1')] ).

cnf(3448,plain,
    ( equal(index_111,u)
    | equal(select(earray_112,u),select(earray_106,u)) ),
    inference(spr,[status(thm),theory(equality)],[2649,2]),
    [iquote('0:SpR:2649.0,2.1')] ).

cnf(3449,plain,
    ( equal(index_105,u)
    | equal(select(earray_106,u),select(earray_100,u)) ),
    inference(spr,[status(thm),theory(equality)],[2652,2]),
    [iquote('0:SpR:2652.0,2.1')] ).

cnf(3454,plain,
    ( equal(index_51,u)
    | equal(select(earray_52,u),select(earray_43,u)) ),
    inference(spr,[status(thm),theory(equality)],[2825,2]),
    [iquote('0:SpR:2825.0,2.1')] ).

cnf(3455,plain,
    ( equal(index_72,u)
    | equal(select(earray_73,u),select(earray_64,u)) ),
    inference(spr,[status(thm),theory(equality)],[2828,2]),
    [iquote('0:SpR:2828.0,2.1')] ).

cnf(3456,plain,
    ( equal(index_90,u)
    | equal(select(earray_85,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[2833,2]),
    [iquote('0:SpR:2833.0,2.1')] ).

cnf(3457,plain,
    ( equal(index_120,u)
    | equal(select(earray_121,u),select(earray_112,u)) ),
    inference(spr,[status(thm),theory(equality)],[2836,2]),
    [iquote('0:SpR:2836.0,2.1')] ).

cnf(3458,plain,
    ( equal(index_141,u)
    | equal(select(earray_142,u),select(earray_133,u)) ),
    inference(spr,[status(thm),theory(equality)],[2839,2]),
    [iquote('0:SpR:2839.0,2.1')] ).

cnf(3459,plain,
    ( equal(index_171,u)
    | equal(select(earray_172,u),select(earray_163,u)) ),
    inference(spr,[status(thm),theory(equality)],[2842,2]),
    [iquote('0:SpR:2842.0,2.1')] ).

cnf(3460,plain,
    ( equal(index_192,u)
    | equal(select(earray_193,u),select(earray_184,u)) ),
    inference(spr,[status(thm),theory(equality)],[2845,2]),
    [iquote('0:SpR:2845.0,2.1')] ).

cnf(3461,plain,
    ( equal(index_213,u)
    | equal(select(earray_214,u),select(earray_205,u)) ),
    inference(spr,[status(thm),theory(equality)],[2848,2]),
    [iquote('0:SpR:2848.0,2.1')] ).

cnf(3462,plain,
    ( equal(index_240,u)
    | equal(select(earray_241,u),select(earray_226,u)) ),
    inference(spr,[status(thm),theory(equality)],[2851,2]),
    [iquote('0:SpR:2851.0,2.1')] ).

cnf(3470,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(index_42))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,68]),
    [iquote('0:SpL:950.0,68.0')] ).

cnf(3509,plain,
    ~ equal(index_36,index_111),
    inference(rew,[status(thm),theory(equality)],[1040,3470,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1040.0,3470.0,1045.0,3470.0,1434.0,3470.0,920.0,3470.0,930.0,3470.0,1444.0,3470.0,940.0,3470.0,945.0,3470.0,1454.0,3470.0')] ).

cnf(3549,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(index_42)))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,67]),
    [iquote('0:SpL:950.0,67.0')] ).

cnf(3588,plain,
    ~ equal(index_36,index_120),
    inference(rew,[status(thm),theory(equality)],[1554,3549,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1554.0,3549.0,1040.0,3549.0,1045.0,3549.0,1434.0,3549.0,920.0,3549.0,930.0,3549.0,1444.0,3549.0,940.0,3549.0,945.0,3549.0,1454.0,3549.0')] ).

cnf(3628,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,66]),
    [iquote('0:SpL:950.0,66.0')] ).

cnf(3667,plain,
    ~ equal(index_36,index_126),
    inference(rew,[status(thm),theory(equality)],[1035,3628,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1035.0,3628.0,1554.0,3628.0,1040.0,3628.0,1045.0,3628.0,1434.0,3628.0,920.0,3628.0,930.0,3628.0,1444.0,3628.0,940.0,3628.0,945.0,3628.0,1454.0,3628.0')] ).

cnf(3707,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(index_42)))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,65]),
    [iquote('0:SpL:950.0,65.0')] ).

cnf(3746,plain,
    ~ equal(index_36,index_132),
    inference(rew,[status(thm),theory(equality)],[1025,3707,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1025.0,3707.0,1035.0,3707.0,1554.0,3707.0,1040.0,3707.0,1045.0,3707.0,1434.0,3707.0,920.0,3707.0,930.0,3707.0,1444.0,3707.0,940.0,3707.0,945.0,3707.0,1454.0,3707.0')] ).

cnf(3786,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,64]),
    [iquote('0:SpL:950.0,64.0')] ).

cnf(3825,plain,
    ~ equal(index_36,index_141),
    inference(rew,[status(thm),theory(equality)],[1544,3786,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1544.0,3786.0,1025.0,3786.0,1035.0,3786.0,1554.0,3786.0,1040.0,3786.0,1045.0,3786.0,1434.0,3786.0,920.0,3786.0,930.0,3786.0,1444.0,3786.0,940.0,3786.0,945.0,3786.0,1454.0,3786.0')] ).

cnf(3865,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42)))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,63]),
    [iquote('0:SpL:950.0,63.0')] ).

cnf(3904,plain,
    ~ equal(index_36,index_147),
    inference(rew,[status(thm),theory(equality)],[1020,3865,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1020.0,3865.0,1544.0,3865.0,1025.0,3865.0,1035.0,3865.0,1554.0,3865.0,1040.0,3865.0,1045.0,3865.0,1434.0,3865.0,920.0,3865.0,930.0,3865.0,1444.0,3865.0,940.0,3865.0,945.0,3865.0,1454.0,3865.0')] ).

cnf(3944,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,62]),
    [iquote('0:SpL:950.0,62.0')] ).

cnf(3983,plain,
    ~ equal(index_36,index_162),
    inference(rew,[status(thm),theory(equality)],[1015,3944,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1015.0,3944.0,1020.0,3944.0,1544.0,3944.0,1025.0,3944.0,1035.0,3944.0,1554.0,3944.0,1040.0,3944.0,1045.0,3944.0,1434.0,3944.0,920.0,3944.0,930.0,3944.0,1444.0,3944.0,940.0,3944.0,945.0,3944.0,1454.0,3944.0')] ).

cnf(4023,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42)))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,61]),
    [iquote('0:SpL:950.0,61.0')] ).

cnf(4088,plain,
    ~ equal(index_36,index_171),
    inference(rew,[status(thm),theory(equality)],[1524,4023,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1524.0,4023.0,1015.0,4023.0,1020.0,4023.0,1544.0,4023.0,1025.0,4023.0,1035.0,4023.0,1554.0,4023.0,1040.0,4023.0,1045.0,4023.0,1434.0,4023.0,920.0,4023.0,930.0,4023.0,1444.0,4023.0,940.0,4023.0,945.0,4023.0,1454.0,4023.0')] ).

cnf(4102,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,60]),
    [iquote('0:SpL:950.0,60.0')] ).

cnf(4167,plain,
    ~ equal(index_36,index_177),
    inference(rew,[status(thm),theory(equality)],[1010,4102,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1010.0,4102.0,1524.0,4102.0,1015.0,4102.0,1020.0,4102.0,1544.0,4102.0,1025.0,4102.0,1035.0,4102.0,1554.0,4102.0,1040.0,4102.0,1045.0,4102.0,1434.0,4102.0,920.0,4102.0,930.0,4102.0,1444.0,4102.0,940.0,4102.0,945.0,4102.0,1454.0,4102.0')] ).

cnf(4181,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42)))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,59]),
    [iquote('0:SpL:950.0,59.0')] ).

cnf(4246,plain,
    ~ equal(index_36,index_183),
    inference(rew,[status(thm),theory(equality)],[1005,4181,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1005.0,4181.0,1010.0,4181.0,1524.0,4181.0,1015.0,4181.0,1020.0,4181.0,1544.0,4181.0,1025.0,4181.0,1035.0,4181.0,1554.0,4181.0,1040.0,4181.0,1045.0,4181.0,1434.0,4181.0,920.0,4181.0,930.0,4181.0,1444.0,4181.0,940.0,4181.0,945.0,4181.0,1454.0,4181.0')] ).

cnf(4260,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,58]),
    [iquote('0:SpL:950.0,58.0')] ).

cnf(4325,plain,
    ~ equal(index_36,index_192),
    inference(rew,[status(thm),theory(equality)],[1514,4260,1005,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1514.0,4260.0,1005.0,4260.0,1010.0,4260.0,1524.0,4260.0,1015.0,4260.0,1020.0,4260.0,1544.0,4260.0,1025.0,4260.0,1035.0,4260.0,1554.0,4260.0,1040.0,4260.0,1045.0,4260.0,1434.0,4260.0,920.0,4260.0,930.0,4260.0,1444.0,4260.0,940.0,4260.0,945.0,4260.0,1454.0,4260.0')] ).

cnf(4339,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42)))))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,57]),
    [iquote('0:SpL:950.0,57.0')] ).

cnf(4404,plain,
    ~ equal(index_36,index_198),
    inference(rew,[status(thm),theory(equality)],[995,4339,1514,1005,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:995.0,4339.0,1514.0,4339.0,1005.0,4339.0,1010.0,4339.0,1524.0,4339.0,1015.0,4339.0,1020.0,4339.0,1544.0,4339.0,1025.0,4339.0,1035.0,4339.0,1554.0,4339.0,1040.0,4339.0,1045.0,4339.0,1434.0,4339.0,920.0,4339.0,930.0,4339.0,1444.0,4339.0,940.0,4339.0,945.0,4339.0,1454.0,4339.0')] ).

cnf(4418,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,56]),
    [iquote('0:SpL:950.0,56.0')] ).

cnf(4483,plain,
    ~ equal(index_36,index_204),
    inference(rew,[status(thm),theory(equality)],[990,4418,995,1514,1005,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:990.0,4418.0,995.0,4418.0,1514.0,4418.0,1005.0,4418.0,1010.0,4418.0,1524.0,4418.0,1015.0,4418.0,1020.0,4418.0,1544.0,4418.0,1025.0,4418.0,1035.0,4418.0,1554.0,4418.0,1040.0,4418.0,1045.0,4418.0,1434.0,4418.0,920.0,4418.0,930.0,4418.0,1444.0,4418.0,940.0,4418.0,945.0,4418.0,1454.0,4418.0')] ).

cnf(4497,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42)))))))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,55]),
    [iquote('0:SpL:950.0,55.0')] ).

cnf(4562,plain,
    ~ equal(index_36,index_213),
    inference(rew,[status(thm),theory(equality)],[1504,4497,990,995,1514,1005,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1504.0,4497.0,990.0,4497.0,995.0,4497.0,1514.0,4497.0,1005.0,4497.0,1010.0,4497.0,1524.0,4497.0,1015.0,4497.0,1020.0,4497.0,1544.0,4497.0,1025.0,4497.0,1035.0,4497.0,1554.0,4497.0,1040.0,4497.0,1045.0,4497.0,1434.0,4497.0,920.0,4497.0,930.0,4497.0,1444.0,4497.0,940.0,4497.0,945.0,4497.0,1454.0,4497.0')] ).

cnf(4576,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,54]),
    [iquote('0:SpL:950.0,54.0')] ).

cnf(4641,plain,
    ~ equal(index_36,index_219),
    inference(rew,[status(thm),theory(equality)],[985,4576,1504,990,995,1514,1005,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:985.0,4576.0,1504.0,4576.0,990.0,4576.0,995.0,4576.0,1514.0,4576.0,1005.0,4576.0,1010.0,4576.0,1524.0,4576.0,1015.0,4576.0,1020.0,4576.0,1544.0,4576.0,1025.0,4576.0,1035.0,4576.0,1554.0,4576.0,1040.0,4576.0,1045.0,4576.0,1434.0,4576.0,920.0,4576.0,930.0,4576.0,1444.0,4576.0,940.0,4576.0,945.0,4576.0,1454.0,4576.0')] ).

cnf(4655,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42)))))))))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,53]),
    [iquote('0:SpL:950.0,53.0')] ).

cnf(4720,plain,
    ~ equal(index_36,index_225),
    inference(rew,[status(thm),theory(equality)],[980,4655,985,1504,990,995,1514,1005,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:980.0,4655.0,985.0,4655.0,1504.0,4655.0,990.0,4655.0,995.0,4655.0,1514.0,4655.0,1005.0,4655.0,1010.0,4655.0,1524.0,4655.0,1015.0,4655.0,1020.0,4655.0,1544.0,4655.0,1025.0,4655.0,1035.0,4655.0,1554.0,4655.0,1040.0,4655.0,1045.0,4655.0,1434.0,4655.0,920.0,4655.0,930.0,4655.0,1444.0,4655.0,940.0,4655.0,945.0,4655.0,1454.0,4655.0')] ).

cnf(4734,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_42))))))))))))))))))))))))),index_36),
    inference(spl,[status(thm),theory(equality)],[950,52]),
    [iquote('0:SpL:950.0,52.0')] ).

cnf(4799,plain,
    ~ equal(index_36,index_240),
    inference(rew,[status(thm),theory(equality)],[1494,4734,980,985,1504,990,995,1514,1005,1010,1524,1015,1020,1544,1025,1035,1554,1040,1045,1434,920,930,1444,940,945,1454]),
    [iquote('0:Rew:1494.0,4734.0,980.0,4734.0,985.0,4734.0,1504.0,4734.0,990.0,4734.0,995.0,4734.0,1514.0,4734.0,1005.0,4734.0,1010.0,4734.0,1524.0,4734.0,1015.0,4734.0,1020.0,4734.0,1544.0,4734.0,1025.0,4734.0,1035.0,4734.0,1554.0,4734.0,1040.0,4734.0,1045.0,4734.0,1434.0,4734.0,920.0,4734.0,930.0,4734.0,1444.0,4734.0,940.0,4734.0,945.0,4734.0,1454.0,4734.0')] ).

cnf(8090,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(select(earray_73,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[3456,3428]),
    [iquote('0:SpR:3456.1,3428.1')] ).

cnf(8107,plain,
    ( equal(index_36,index_240)
    | equal(select(earray_226,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[3462,2574]),
    [iquote('0:SpR:3462.1,2574.0')] ).

cnf(8110,plain,
    equal(select(earray_226,index_36),elem_283),
    inference(mrr,[status(thm)],[8107,4799]),
    [iquote('0:MRR:8107.0,4799.0')] ).

cnf(8112,plain,
    ( equal(index_36,index_225)
    | equal(select(earray_220,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8110,3436]),
    [iquote('0:SpR:8110.0,3436.1')] ).

cnf(8113,plain,
    equal(select(earray_220,index_36),elem_283),
    inference(mrr,[status(thm)],[8112,4720]),
    [iquote('0:MRR:8112.0,4720.0')] ).

cnf(8115,plain,
    ( equal(index_36,index_219)
    | equal(select(earray_214,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8113,3437]),
    [iquote('0:SpR:8113.0,3437.1')] ).

cnf(8116,plain,
    equal(select(earray_214,index_36),elem_283),
    inference(mrr,[status(thm)],[8115,4641]),
    [iquote('0:MRR:8115.0,4641.0')] ).

cnf(8118,plain,
    ( equal(index_36,index_213)
    | equal(select(earray_205,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8116,3461]),
    [iquote('0:SpR:8116.0,3461.1')] ).

cnf(8119,plain,
    equal(select(earray_205,index_36),elem_283),
    inference(mrr,[status(thm)],[8118,4562]),
    [iquote('0:MRR:8118.0,4562.0')] ).

cnf(8121,plain,
    ( equal(index_36,index_204)
    | equal(select(earray_199,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8119,3438]),
    [iquote('0:SpR:8119.0,3438.1')] ).

cnf(8122,plain,
    equal(select(earray_199,index_36),elem_283),
    inference(mrr,[status(thm)],[8121,4483]),
    [iquote('0:MRR:8121.0,4483.0')] ).

cnf(8124,plain,
    ( equal(index_36,index_198)
    | equal(select(earray_193,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8122,3439]),
    [iquote('0:SpR:8122.0,3439.1')] ).

cnf(8125,plain,
    equal(select(earray_193,index_36),elem_283),
    inference(mrr,[status(thm)],[8124,4404]),
    [iquote('0:MRR:8124.0,4404.0')] ).

cnf(8127,plain,
    ( equal(index_36,index_192)
    | equal(select(earray_184,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8125,3460]),
    [iquote('0:SpR:8125.0,3460.1')] ).

cnf(8128,plain,
    equal(select(earray_184,index_36),elem_283),
    inference(mrr,[status(thm)],[8127,4325]),
    [iquote('0:MRR:8127.0,4325.0')] ).

cnf(8130,plain,
    ( equal(index_36,index_183)
    | equal(select(earray_178,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8128,3441]),
    [iquote('0:SpR:8128.0,3441.1')] ).

cnf(8131,plain,
    equal(select(earray_178,index_36),elem_283),
    inference(mrr,[status(thm)],[8130,4246]),
    [iquote('0:MRR:8130.0,4246.0')] ).

cnf(8133,plain,
    ( equal(index_36,index_177)
    | equal(select(earray_172,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8131,3442]),
    [iquote('0:SpR:8131.0,3442.1')] ).

cnf(8134,plain,
    equal(select(earray_172,index_36),elem_283),
    inference(mrr,[status(thm)],[8133,4167]),
    [iquote('0:MRR:8133.0,4167.0')] ).

cnf(8136,plain,
    ( equal(index_36,index_171)
    | equal(select(earray_163,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8134,3459]),
    [iquote('0:SpR:8134.0,3459.1')] ).

cnf(8137,plain,
    equal(select(earray_163,index_36),elem_283),
    inference(mrr,[status(thm)],[8136,4088]),
    [iquote('0:MRR:8136.0,4088.0')] ).

cnf(8139,plain,
    ( equal(index_36,index_162)
    | equal(select(earray_148,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8137,3443]),
    [iquote('0:SpR:8137.0,3443.1')] ).

cnf(8140,plain,
    equal(select(earray_148,index_36),elem_283),
    inference(mrr,[status(thm)],[8139,3983]),
    [iquote('0:MRR:8139.0,3983.0')] ).

cnf(8142,plain,
    ( equal(index_36,index_147)
    | equal(select(earray_142,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8140,3444]),
    [iquote('0:SpR:8140.0,3444.1')] ).

cnf(8143,plain,
    equal(select(earray_142,index_36),elem_283),
    inference(mrr,[status(thm)],[8142,3904]),
    [iquote('0:MRR:8142.0,3904.0')] ).

cnf(8145,plain,
    ( equal(index_36,index_141)
    | equal(select(earray_133,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8143,3458]),
    [iquote('0:SpR:8143.0,3458.1')] ).

cnf(8146,plain,
    equal(select(earray_133,index_36),elem_283),
    inference(mrr,[status(thm)],[8145,3825]),
    [iquote('0:MRR:8145.0,3825.0')] ).

cnf(8148,plain,
    ( equal(index_36,index_132)
    | equal(select(earray_127,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8146,3445]),
    [iquote('0:SpR:8146.0,3445.1')] ).

cnf(8149,plain,
    equal(select(earray_127,index_36),elem_283),
    inference(mrr,[status(thm)],[8148,3746]),
    [iquote('0:MRR:8148.0,3746.0')] ).

cnf(8151,plain,
    ( equal(index_36,index_126)
    | equal(select(earray_121,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8149,3447]),
    [iquote('0:SpR:8149.0,3447.1')] ).

cnf(8152,plain,
    equal(select(earray_121,index_36),elem_283),
    inference(mrr,[status(thm)],[8151,3667]),
    [iquote('0:MRR:8151.0,3667.0')] ).

cnf(8154,plain,
    ( equal(index_36,index_120)
    | equal(select(earray_112,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8152,3457]),
    [iquote('0:SpR:8152.0,3457.1')] ).

cnf(8155,plain,
    equal(select(earray_112,index_36),elem_283),
    inference(mrr,[status(thm)],[8154,3588]),
    [iquote('0:MRR:8154.0,3588.0')] ).

cnf(8157,plain,
    ( equal(index_36,index_111)
    | equal(select(earray_106,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8155,3448]),
    [iquote('0:SpR:8155.0,3448.1')] ).

cnf(8158,plain,
    equal(select(earray_106,index_36),elem_283),
    inference(mrr,[status(thm)],[8157,3509]),
    [iquote('0:MRR:8157.0,3509.0')] ).

cnf(8160,plain,
    ( equal(index_36,index_105)
    | equal(select(earray_100,index_36),elem_283) ),
    inference(spr,[status(thm),theory(equality)],[8158,3449]),
    [iquote('0:SpR:8158.0,3449.1')] ).

cnf(8161,plain,
    equal(select(earray_100,index_36),elem_283),
    inference(mrr,[status(thm)],[8160,3388]),
    [iquote('0:MRR:8160.0,3388.0')] ).

cnf(8173,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(select(earray_64,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[8090,3455]),
    [iquote('0:SpR:8090.2,3455.1')] ).

cnf(8189,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(select(earray_58,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[8173,3429]),
    [iquote('0:SpR:8173.3,3429.1')] ).

cnf(8205,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(select(earray_52,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[8189,3430]),
    [iquote('0:SpR:8189.4,3430.1')] ).

cnf(8221,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(index_51,u)
    | equal(select(earray_43,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[8205,3454]),
    [iquote('0:SpR:8205.5,3454.1')] ).

cnf(8237,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(index_51,u)
    | equal(index_42,u)
    | equal(select(earray_37,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[8221,3431]),
    [iquote('0:SpR:8221.6,3431.1')] ).

cnf(8257,plain,
    ( equal(index_90,index_36)
    | equal(index_84,index_36)
    | equal(index_72,index_36)
    | equal(index_63,index_36)
    | equal(index_57,index_36)
    | equal(index_51,index_36)
    | equal(index_42,index_36)
    | equal(select(earray_98,index_36),e13) ),
    inference(spr,[status(thm),theory(equality)],[8237,2995]),
    [iquote('0:SpR:8237.7,2995.0')] ).

cnf(8260,plain,
    equal(select(earray_98,index_36),e13),
    inference(mrr,[status(thm)],[8257,3230,3151,3072,2952,1572,1458,952]),
    [iquote('0:MRR:8257.0,8257.1,8257.2,8257.3,8257.4,8257.5,8257.6,3230.0,3151.0,3072.0,2952.0,1572.0,1458.0,952.0')] ).

cnf(8262,plain,
    ( equal(index_36,index_99)
    | equal(select(earray_100,index_36),e13) ),
    inference(spr,[status(thm),theory(equality)],[8260,3425]),
    [iquote('0:SpR:8260.0,3425.1')] ).

cnf(8263,plain,
    ( equal(index_36,index_99)
    | equal(elem_283,e13) ),
    inference(rew,[status(thm),theory(equality)],[8161,8262]),
    [iquote('0:Rew:8161.0,8262.1')] ).

cnf(8264,plain,
    $false,
    inference(mrr,[status(thm)],[8263,3309,403]),
    [iquote('0:MRR:8263.0,8263.1,3309.0,403.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV568-1.040 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 15 12:45:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 5.33/5.50  
% 5.33/5.50  SPASS V 3.9 
% 5.33/5.50  SPASS beiseite: Proof found.
% 5.33/5.50  % SZS status Theorem
% 5.33/5.50  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 5.33/5.50  SPASS derived 4884 clauses, backtracked 0 clauses, performed 0 splits and kept 4049 clauses.
% 5.33/5.50  SPASS allocated 71525 KBytes.
% 5.33/5.50  SPASS spent	0:00:05.15 on the problem.
% 5.33/5.50  		0:00:00.04 for the input.
% 5.33/5.50  		0:00:00.00 for the FLOTTER CNF translation.
% 5.33/5.50  		0:00:00.63 for inferences.
% 5.33/5.50  		0:00:00.00 for the backtracking.
% 5.33/5.50  		0:00:04.11 for the reduction.
% 5.33/5.50  
% 5.33/5.50  
% 5.33/5.50  Here is a proof with depth 19, length 1033 :
% 5.33/5.50  % SZS output start Refutation
% See solution above
% 5.55/5.79  Formulae used in the proof : a1 a2 a1_seq a1_head a1_tail a2_seq_head a2_seq_tail a2_head_tail a2_head_seq a2_tail_head as26 as25 as24 as23 as22 as21 as20 as19 as18 as17 as16 as15 as14 as13 as12 as11 as10 as9 as8 as7 as6 as5 as4 as3 as2 as1 hyp1 hyp2 hyp3 hyp4 hyp5 hyp6 hyp7 hyp8 hyp9 hyp10 hyp11 hyp13 hyp14 hyp15 hyp16 hyp20 hyp21 hyp22 hyp23 hyp24 hyp25 hyp26 hyp27 hyp28 hyp29 hyp30 hyp31 hyp34 hyp35 hyp36 hyp37 hyp38 hyp40 hyp41 hyp42 hyp45 hyp46 hyp57 hyp60 hyp61 hyp63 hyp64 hyp65 hyp66 hyp67 hyp68 hyp69 hyp70 hyp71 hyp72 hyp76 hyp77 hyp78 hyp79 hyp80 hyp81 hyp82 hyp83 hyp84 hyp85 hyp86 hyp87 hyp88 hyp89 hyp90 hyp91 hyp92 hyp93 hyp94 hyp95 hyp96 hyp97 hyp98 hyp99 hyp100 hyp101 hyp102 hyp103 hyp104 hyp105 hyp106 hyp107 hyp108 hyp109 hyp110 hyp111 hyp112 hyp113 hyp114 hyp115 hyp116 hyp117 hyp118 hyp119 hyp120 hyp121 hyp122 hyp123 hyp124 hyp125 hyp126 hyp127 hyp128 hyp129 hyp130 hyp131 hyp132 hyp133 hyp134 hyp135 hyp136 hyp137 hyp138 hyp139 hyp140 hyp141 hyp143 hyp144 hyp145 hyp146 hyp147 hyp148 hyp149 hyp150 hyp151 hyp152 hyp153 hyp154 hyp155 hyp156 hyp157 hyp158 hyp159 hyp160 hyp161 hyp162 hyp163 hyp164 hyp165 hyp166 hyp167 hyp168 hyp169 hyp170 hyp171 hyp172 hyp173 hyp174 hyp175 hyp176 hyp177 hyp178 hyp179 hyp180 hyp181 hyp182 hyp183 hyp184 hyp185 hyp186 hyp187 hyp188 hyp189 hyp190 hyp191 hyp192 hyp193 hyp194 hyp195 hyp196 hyp197 hyp198 hyp199 hyp200 hyp201 hyp202 hyp203 hyp204 hyp205 hyp206 hyp207 hyp208 hyp209 hyp210 hyp211 hyp212 hyp213 hyp214 hyp215 hyp216 hyp217 hyp218 hyp219 hyp220 hyp221 hyp222 hyp223 hyp224 hyp225 hyp226 hyp227 hyp228 hyp229 hyp230 hyp231 hyp232 hyp233 hyp234 hyp235 hyp236 hyp237 hyp238 hyp239 hyp240 hyp241 hyp242 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 hyp273 hyp274 hyp275 hyp276 hyp277 hyp278 hyp279 hyp280 hyp281 hyp282 hyp283 hyp284 hyp285 hyp286 hyp287 hyp288 hyp289 hyp290 hyp291 hyp292 hyp293 hyp294 hyp295 hyp296 hyp297 hyp298 hyp299 hyp300 hyp301 hyp302 hyp303 hyp304 hyp305 hyp306 hyp307 hyp308 hyp309 hyp310 hyp311 hyp312 hyp313 hyp314 hyp315 hyp316 hyp317 hyp318 hyp319 hyp320 hyp321 hyp322 hyp323 hyp324 goal
% 5.55/5.79  
%------------------------------------------------------------------------------