TSTP Solution File: SWV570-1.046 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV570-1.046 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 21:44:23 EDT 2022

% Result   : Unsatisfiable 0.71s 0.92s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   73
%            Number of leaves      :  246
% Syntax   : Number of clauses     :  841 ( 841 unt;   0 nHn; 841 RR)
%            Number of literals    :  841 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  296 ( 296 usr; 288 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    equal(rselect_head(rstore_head(u,v)),v),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(5,axiom,
    equal(rselect_tail(rstore_tail(u,v)),v),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(8,axiom,
    equal(rselect_head(rstore_tail(u,v)),rselect_head(u)),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(9,axiom,
    equal(rselect_head(rstore_seq(u,v)),rselect_head(u)),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(11,axiom,
    equal(rselect_tail(rstore_head(u,v)),rselect_tail(u)),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(12,axiom,
    equal(p(s(u)),u),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(16,axiom,
    equal(s(s(s(u))),u),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(110,axiom,
    equal(select(earray_278,index_279),elem_280),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(111,axiom,
    equal(select(earray_278,index_282),elem_283),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(112,axiom,
    equal(rselect_tail(q),index_0),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(113,axiom,
    equal(s(index_99),index_102),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(114,axiom,
    equal(rselect_tail(q24),index_105),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(115,axiom,
    equal(s(index_105),index_108),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(116,axiom,
    equal(rselect_tail(q25),index_111),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(117,axiom,
    equal(s(index_111),index_114),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(118,axiom,
    equal(rselect_tail(q26),index_117),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(119,axiom,
    equal(s(index_9),index_12),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(120,axiom,
    equal(s(index_117),index_120),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(121,axiom,
    equal(rselect_tail(q27),index_123),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(122,axiom,
    equal(s(index_123),index_126),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(123,axiom,
    equal(rselect_tail(q28),index_129),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(124,axiom,
    equal(s(index_129),index_132),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(125,axiom,
    equal(rselect_tail(q2),index_135),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(126,axiom,
    equal(s(index_135),index_138),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(127,axiom,
    equal(rselect_tail(q29),index_141),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(128,axiom,
    equal(s(index_141),index_144),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(129,axiom,
    equal(rselect_tail(q30),index_147),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(130,axiom,
    equal(rselect_tail(q10),index_15),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(131,axiom,
    equal(s(index_147),index_150),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(132,axiom,
    equal(rselect_tail(q31),index_153),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(133,axiom,
    equal(s(index_153),index_156),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(134,axiom,
    equal(rselect_tail(q32),index_159),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(135,axiom,
    equal(s(index_159),index_162),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(136,axiom,
    equal(rselect_tail(q33),index_165),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(137,axiom,
    equal(s(index_165),index_168),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(138,axiom,
    equal(rselect_tail(q34),index_171),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(139,axiom,
    equal(s(index_171),index_174),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(140,axiom,
    equal(rselect_tail(q35),index_177),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(141,axiom,
    equal(s(index_15),index_18),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(142,axiom,
    equal(s(index_177),index_180),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(143,axiom,
    equal(rselect_tail(q36),index_183),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(144,axiom,
    equal(s(index_183),index_186),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(145,axiom,
    equal(rselect_tail(q37),index_189),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(146,axiom,
    equal(s(index_189),index_192),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(147,axiom,
    equal(rselect_tail(q38),index_195),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(148,axiom,
    equal(s(index_195),index_198),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(149,axiom,
    equal(rselect_tail(q3),index_201),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(150,axiom,
    equal(s(index_201),index_204),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(151,axiom,
    equal(rselect_tail(q39),index_207),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(152,axiom,
    equal(rselect_tail(q11),index_21),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(153,axiom,
    equal(s(index_207),index_210),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(154,axiom,
    equal(rselect_tail(q40),index_213),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(155,axiom,
    equal(s(index_213),index_216),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(156,axiom,
    equal(rselect_tail(q41),index_219),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(157,axiom,
    equal(s(index_219),index_222),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(158,axiom,
    equal(rselect_tail(q42),index_225),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(159,axiom,
    equal(s(index_225),index_228),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(160,axiom,
    equal(rselect_tail(q43),index_231),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(161,axiom,
    equal(s(index_231),index_234),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(162,axiom,
    equal(rselect_tail(q44),index_237),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(163,axiom,
    equal(s(index_21),index_24),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(164,axiom,
    equal(s(index_237),index_240),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(165,axiom,
    equal(rselect_tail(q45),index_243),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(166,axiom,
    equal(s(index_243),index_246),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(167,axiom,
    equal(rselect_tail(q4),index_249),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(168,axiom,
    equal(s(index_249),index_252),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(169,axiom,
    equal(rselect_tail(q5),index_255),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(170,axiom,
    equal(s(index_255),index_258),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(171,axiom,
    equal(rselect_tail(q6),index_261),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(172,axiom,
    equal(s(index_261),index_264),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(173,axiom,
    equal(rselect_tail(q7),index_267),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(174,axiom,
    equal(rselect_tail(q12),index_27),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(175,axiom,
    equal(s(index_267),index_270),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(176,axiom,
    equal(rselect_tail(q8),index_273),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(177,axiom,
    equal(s(index_273),index_276),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(178,axiom,
    equal(rselect_head(q46),index_279),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(179,axiom,
    equal(rselect_tail(q46),index_281),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(180,axiom,
    equal(s(index_282),index_281),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(181,axiom,
    equal(rselect_tail(q0),index_3),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(182,axiom,
    equal(s(index_27),index_30),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(183,axiom,
    equal(rselect_tail(q13),index_33),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(184,axiom,
    equal(s(index_33),index_36),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(185,axiom,
    equal(rselect_tail(q14),index_39),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(186,axiom,
    equal(s(index_39),index_42),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(187,axiom,
    equal(rselect_tail(q15),index_45),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(188,axiom,
    equal(s(index_45),index_48),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(189,axiom,
    equal(rselect_tail(q16),index_51),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(190,axiom,
    equal(s(index_51),index_54),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(191,axiom,
    equal(rselect_tail(q17),index_57),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(192,axiom,
    equal(s(index_3),index_6),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(193,axiom,
    equal(s(index_57),index_60),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(194,axiom,
    equal(rselect_tail(q18),index_63),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(195,axiom,
    equal(s(index_63),index_66),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(196,axiom,
    equal(rselect_tail(q1),index_69),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(197,axiom,
    equal(s(index_69),index_72),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(198,axiom,
    equal(rselect_tail(q19),index_75),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(199,axiom,
    equal(s(index_75),index_78),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(200,axiom,
    equal(rselect_tail(q20),index_81),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(201,axiom,
    equal(s(index_81),index_84),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(202,axiom,
    equal(rselect_tail(q21),index_87),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(203,axiom,
    equal(rselect_tail(q9),index_9),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(204,axiom,
    equal(s(index_87),index_90),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(205,axiom,
    equal(rselect_tail(q22),index_93),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(206,axiom,
    equal(s(index_93),index_96),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(207,axiom,
    equal(rselect_tail(q23),index_99),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(208,axiom,
    equal(rstore_head(q,index_0),queue_1),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(209,axiom,
    equal(rstore_seq(q23,earray_100),queue_101),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(210,axiom,
    equal(rstore_tail(queue_101,index_102),queue_103),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(211,axiom,
    equal(rstore_seq(q24,earray_106),queue_107),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(212,axiom,
    equal(rstore_tail(queue_107,index_108),queue_109),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(213,axiom,
    equal(rstore_seq(q9,earray_10),queue_11),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(214,axiom,
    equal(rstore_seq(q25,earray_112),queue_113),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(215,axiom,
    equal(rstore_tail(queue_113,index_114),queue_115),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(216,axiom,
    equal(rstore_seq(q26,earray_118),queue_119),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(217,axiom,
    equal(rstore_tail(queue_119,index_120),queue_121),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(218,axiom,
    equal(rstore_seq(q27,earray_124),queue_125),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(219,axiom,
    equal(rstore_tail(queue_125,index_126),queue_127),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(220,axiom,
    equal(rstore_tail(queue_11,index_12),queue_13),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(221,axiom,
    equal(rstore_seq(q28,earray_130),queue_131),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(222,axiom,
    equal(rstore_tail(queue_131,index_132),queue_133),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(223,axiom,
    equal(rstore_seq(q2,earray_136),queue_137),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(224,axiom,
    equal(rstore_tail(queue_137,index_138),queue_139),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(225,axiom,
    equal(rstore_seq(q29,earray_142),queue_143),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(226,axiom,
    equal(rstore_tail(queue_143,index_144),queue_145),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(227,axiom,
    equal(rstore_seq(q30,earray_148),queue_149),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(228,axiom,
    equal(rstore_tail(queue_149,index_150),queue_151),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(229,axiom,
    equal(rstore_seq(q31,earray_154),queue_155),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(230,axiom,
    equal(rstore_tail(queue_155,index_156),queue_157),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(231,axiom,
    equal(rstore_seq(q32,earray_160),queue_161),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(232,axiom,
    equal(rstore_tail(queue_161,index_162),queue_163),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(233,axiom,
    equal(rstore_seq(q33,earray_166),queue_167),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(234,axiom,
    equal(rstore_tail(queue_167,index_168),queue_169),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(235,axiom,
    equal(rstore_seq(q10,earray_16),queue_17),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(236,axiom,
    equal(rstore_seq(q34,earray_172),queue_173),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(237,axiom,
    equal(rstore_tail(queue_173,index_174),queue_175),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(238,axiom,
    equal(rstore_seq(q35,earray_178),queue_179),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(239,axiom,
    equal(rstore_tail(queue_179,index_180),queue_181),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(240,axiom,
    equal(rstore_seq(q36,earray_184),queue_185),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(241,axiom,
    equal(rstore_tail(queue_185,index_186),queue_187),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(242,axiom,
    equal(rstore_tail(queue_17,index_18),queue_19),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(243,axiom,
    equal(rstore_seq(q37,earray_190),queue_191),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(244,axiom,
    equal(rstore_tail(queue_191,index_192),queue_193),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(245,axiom,
    equal(rstore_seq(q38,earray_196),queue_197),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(246,axiom,
    equal(rstore_tail(queue_197,index_198),queue_199),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(247,axiom,
    equal(rstore_seq(q3,earray_202),queue_203),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(248,axiom,
    equal(rstore_tail(queue_203,index_204),queue_205),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(249,axiom,
    equal(rstore_seq(q39,earray_208),queue_209),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(250,axiom,
    equal(rstore_tail(queue_209,index_210),queue_211),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(251,axiom,
    equal(rstore_seq(q40,earray_214),queue_215),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(252,axiom,
    equal(rstore_tail(queue_215,index_216),queue_217),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(253,axiom,
    equal(rstore_seq(q41,earray_220),queue_221),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(254,axiom,
    equal(rstore_tail(queue_221,index_222),queue_223),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(255,axiom,
    equal(rstore_seq(q42,earray_226),queue_227),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(256,axiom,
    equal(rstore_tail(queue_227,index_228),queue_229),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(257,axiom,
    equal(rstore_seq(q11,earray_22),queue_23),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(258,axiom,
    equal(rstore_seq(q43,earray_232),queue_233),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(259,axiom,
    equal(rstore_tail(queue_233,index_234),queue_235),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(260,axiom,
    equal(rstore_seq(q44,earray_238),queue_239),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(261,axiom,
    equal(rstore_tail(queue_239,index_240),queue_241),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(262,axiom,
    equal(rstore_seq(q45,earray_244),queue_245),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(263,axiom,
    equal(rstore_tail(queue_245,index_246),queue_247),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(264,axiom,
    equal(rstore_tail(queue_23,index_24),queue_25),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(265,axiom,
    equal(rstore_seq(q4,earray_250),queue_251),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(266,axiom,
    equal(rstore_tail(queue_251,index_252),queue_253),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(267,axiom,
    equal(rstore_seq(q5,earray_256),queue_257),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(268,axiom,
    equal(rstore_tail(queue_257,index_258),queue_259),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(269,axiom,
    equal(rstore_seq(q6,earray_262),queue_263),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(270,axiom,
    equal(rstore_tail(queue_263,index_264),queue_265),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(271,axiom,
    equal(rstore_seq(q7,earray_268),queue_269),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(272,axiom,
    equal(rstore_tail(queue_269,index_270),queue_271),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(273,axiom,
    equal(rstore_seq(q8,earray_274),queue_275),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(274,axiom,
    equal(rstore_tail(queue_275,index_276),queue_277),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(275,axiom,
    equal(rstore_seq(q12,earray_28),queue_29),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(276,axiom,
    equal(rstore_tail(queue_29,index_30),queue_31),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(277,axiom,
    equal(rstore_seq(q13,earray_34),queue_35),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(278,axiom,
    equal(rstore_tail(queue_35,index_36),queue_37),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(279,axiom,
    equal(rstore_seq(q14,earray_40),queue_41),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(280,axiom,
    equal(rstore_tail(queue_41,index_42),queue_43),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(281,axiom,
    equal(rstore_seq(q15,earray_46),queue_47),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(282,axiom,
    equal(rstore_tail(queue_47,index_48),queue_49),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(283,axiom,
    equal(rstore_seq(q0,earray_4),queue_5),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(284,axiom,
    equal(rstore_seq(q16,earray_52),queue_53),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(285,axiom,
    equal(rstore_tail(queue_53,index_54),queue_55),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(286,axiom,
    equal(rstore_seq(q17,earray_58),queue_59),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(287,axiom,
    equal(rstore_tail(queue_59,index_60),queue_61),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(288,axiom,
    equal(rstore_seq(q18,earray_64),queue_65),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(289,axiom,
    equal(rstore_tail(queue_65,index_66),queue_67),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(290,axiom,
    equal(rstore_tail(queue_5,index_6),queue_7),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(291,axiom,
    equal(rstore_seq(q1,earray_70),queue_71),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(292,axiom,
    equal(rstore_tail(queue_71,index_72),queue_73),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(293,axiom,
    equal(rstore_seq(q19,earray_76),queue_77),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(294,axiom,
    equal(rstore_tail(queue_77,index_78),queue_79),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(295,axiom,
    equal(rstore_seq(q20,earray_82),queue_83),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(296,axiom,
    equal(rstore_tail(queue_83,index_84),queue_85),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(297,axiom,
    equal(rstore_seq(q21,earray_88),queue_89),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(298,axiom,
    equal(rstore_tail(queue_89,index_90),queue_91),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(299,axiom,
    equal(rstore_seq(q22,earray_94),queue_95),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(300,axiom,
    equal(rstore_tail(queue_95,index_96),queue_97),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(301,axiom,
    equal(queue_1,q0),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(302,axiom,
    equal(queue_7,q1),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(303,axiom,
    equal(queue_13,q10),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(304,axiom,
    equal(queue_19,q11),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(305,axiom,
    equal(queue_25,q12),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(306,axiom,
    equal(queue_31,q13),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(307,axiom,
    equal(queue_37,q14),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(308,axiom,
    equal(queue_43,q15),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(309,axiom,
    equal(queue_49,q16),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(310,axiom,
    equal(queue_55,q17),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(311,axiom,
    equal(queue_61,q18),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(312,axiom,
    equal(queue_67,q19),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(313,axiom,
    equal(queue_73,q2),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(314,axiom,
    equal(queue_79,q20),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(315,axiom,
    equal(queue_85,q21),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(316,axiom,
    equal(queue_91,q22),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(317,axiom,
    equal(queue_97,q23),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(318,axiom,
    equal(queue_103,q24),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(319,axiom,
    equal(queue_109,q25),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(320,axiom,
    equal(queue_115,q26),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(321,axiom,
    equal(queue_121,q27),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(322,axiom,
    equal(queue_127,q28),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(323,axiom,
    equal(queue_133,q29),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(324,axiom,
    equal(queue_139,q3),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(325,axiom,
    equal(queue_145,q30),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(326,axiom,
    equal(queue_151,q31),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(327,axiom,
    equal(queue_157,q32),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(328,axiom,
    equal(queue_163,q33),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(329,axiom,
    equal(queue_169,q34),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(330,axiom,
    equal(queue_175,q35),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(331,axiom,
    equal(queue_181,q36),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(332,axiom,
    equal(queue_187,q37),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(333,axiom,
    equal(queue_193,q38),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(334,axiom,
    equal(queue_199,q39),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(335,axiom,
    equal(queue_205,q4),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(336,axiom,
    equal(queue_211,q40),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(337,axiom,
    equal(queue_217,q41),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(338,axiom,
    equal(queue_223,q42),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(339,axiom,
    equal(queue_229,q43),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(340,axiom,
    equal(queue_235,q44),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(341,axiom,
    equal(queue_241,q45),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(342,axiom,
    equal(queue_247,q46),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(343,axiom,
    equal(queue_253,q5),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(344,axiom,
    equal(queue_259,q6),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(345,axiom,
    equal(queue_265,q7),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(346,axiom,
    equal(queue_271,q8),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(347,axiom,
    equal(queue_277,q9),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(348,axiom,
    ~ equal(elem_283,elem_280),
    file('SWV570-1.046.p',unknown),
    [] ).

cnf(349,plain,
    equal(rstore_tail(queue_95,index_96),q23),
    inference(rew,[status(thm),theory(equality)],[317,300]),
    [iquote('0:Rew:317.0,300.0')] ).

cnf(350,plain,
    equal(rstore_tail(queue_89,index_90),q22),
    inference(rew,[status(thm),theory(equality)],[316,298]),
    [iquote('0:Rew:316.0,298.0')] ).

cnf(351,plain,
    equal(rstore_tail(queue_83,index_84),q21),
    inference(rew,[status(thm),theory(equality)],[315,296]),
    [iquote('0:Rew:315.0,296.0')] ).

cnf(352,plain,
    equal(rstore_tail(queue_77,index_78),q20),
    inference(rew,[status(thm),theory(equality)],[314,294]),
    [iquote('0:Rew:314.0,294.0')] ).

cnf(353,plain,
    equal(rstore_tail(queue_71,index_72),q2),
    inference(rew,[status(thm),theory(equality)],[313,292]),
    [iquote('0:Rew:313.0,292.0')] ).

cnf(354,plain,
    equal(rstore_tail(queue_5,index_6),q1),
    inference(rew,[status(thm),theory(equality)],[302,290]),
    [iquote('0:Rew:302.0,290.0')] ).

cnf(355,plain,
    equal(rstore_tail(queue_65,index_66),q19),
    inference(rew,[status(thm),theory(equality)],[312,289]),
    [iquote('0:Rew:312.0,289.0')] ).

cnf(356,plain,
    equal(rstore_tail(queue_59,index_60),q18),
    inference(rew,[status(thm),theory(equality)],[311,287]),
    [iquote('0:Rew:311.0,287.0')] ).

cnf(357,plain,
    equal(rstore_tail(queue_53,index_54),q17),
    inference(rew,[status(thm),theory(equality)],[310,285]),
    [iquote('0:Rew:310.0,285.0')] ).

cnf(358,plain,
    equal(rstore_tail(queue_47,index_48),q16),
    inference(rew,[status(thm),theory(equality)],[309,282]),
    [iquote('0:Rew:309.0,282.0')] ).

cnf(359,plain,
    equal(rstore_tail(queue_41,index_42),q15),
    inference(rew,[status(thm),theory(equality)],[308,280]),
    [iquote('0:Rew:308.0,280.0')] ).

cnf(360,plain,
    equal(rstore_tail(queue_35,index_36),q14),
    inference(rew,[status(thm),theory(equality)],[307,278]),
    [iquote('0:Rew:307.0,278.0')] ).

cnf(361,plain,
    equal(rstore_tail(queue_29,index_30),q13),
    inference(rew,[status(thm),theory(equality)],[306,276]),
    [iquote('0:Rew:306.0,276.0')] ).

cnf(362,plain,
    equal(rstore_tail(queue_275,index_276),q9),
    inference(rew,[status(thm),theory(equality)],[347,274]),
    [iquote('0:Rew:347.0,274.0')] ).

cnf(363,plain,
    equal(rstore_tail(queue_269,index_270),q8),
    inference(rew,[status(thm),theory(equality)],[346,272]),
    [iquote('0:Rew:346.0,272.0')] ).

cnf(364,plain,
    equal(rstore_tail(queue_263,index_264),q7),
    inference(rew,[status(thm),theory(equality)],[345,270]),
    [iquote('0:Rew:345.0,270.0')] ).

cnf(365,plain,
    equal(rstore_tail(queue_257,index_258),q6),
    inference(rew,[status(thm),theory(equality)],[344,268]),
    [iquote('0:Rew:344.0,268.0')] ).

cnf(366,plain,
    equal(rstore_tail(queue_251,index_252),q5),
    inference(rew,[status(thm),theory(equality)],[343,266]),
    [iquote('0:Rew:343.0,266.0')] ).

cnf(367,plain,
    equal(rstore_tail(queue_23,index_24),q12),
    inference(rew,[status(thm),theory(equality)],[305,264]),
    [iquote('0:Rew:305.0,264.0')] ).

cnf(368,plain,
    equal(rstore_tail(queue_245,index_246),q46),
    inference(rew,[status(thm),theory(equality)],[342,263]),
    [iquote('0:Rew:342.0,263.0')] ).

cnf(369,plain,
    equal(rstore_tail(queue_239,index_240),q45),
    inference(rew,[status(thm),theory(equality)],[341,261]),
    [iquote('0:Rew:341.0,261.0')] ).

cnf(370,plain,
    equal(rstore_tail(queue_233,index_234),q44),
    inference(rew,[status(thm),theory(equality)],[340,259]),
    [iquote('0:Rew:340.0,259.0')] ).

cnf(371,plain,
    equal(rstore_tail(queue_227,index_228),q43),
    inference(rew,[status(thm),theory(equality)],[339,256]),
    [iquote('0:Rew:339.0,256.0')] ).

cnf(372,plain,
    equal(rstore_tail(queue_221,index_222),q42),
    inference(rew,[status(thm),theory(equality)],[338,254]),
    [iquote('0:Rew:338.0,254.0')] ).

cnf(373,plain,
    equal(rstore_tail(queue_215,index_216),q41),
    inference(rew,[status(thm),theory(equality)],[337,252]),
    [iquote('0:Rew:337.0,252.0')] ).

cnf(374,plain,
    equal(rstore_tail(queue_209,index_210),q40),
    inference(rew,[status(thm),theory(equality)],[336,250]),
    [iquote('0:Rew:336.0,250.0')] ).

cnf(375,plain,
    equal(rstore_tail(queue_203,index_204),q4),
    inference(rew,[status(thm),theory(equality)],[335,248]),
    [iquote('0:Rew:335.0,248.0')] ).

cnf(376,plain,
    equal(rstore_tail(queue_197,index_198),q39),
    inference(rew,[status(thm),theory(equality)],[334,246]),
    [iquote('0:Rew:334.0,246.0')] ).

cnf(377,plain,
    equal(rstore_tail(queue_191,index_192),q38),
    inference(rew,[status(thm),theory(equality)],[333,244]),
    [iquote('0:Rew:333.0,244.0')] ).

cnf(378,plain,
    equal(rstore_tail(queue_17,index_18),q11),
    inference(rew,[status(thm),theory(equality)],[304,242]),
    [iquote('0:Rew:304.0,242.0')] ).

cnf(379,plain,
    equal(rstore_tail(queue_185,index_186),q37),
    inference(rew,[status(thm),theory(equality)],[332,241]),
    [iquote('0:Rew:332.0,241.0')] ).

cnf(380,plain,
    equal(rstore_tail(queue_179,index_180),q36),
    inference(rew,[status(thm),theory(equality)],[331,239]),
    [iquote('0:Rew:331.0,239.0')] ).

cnf(381,plain,
    equal(rstore_tail(queue_173,index_174),q35),
    inference(rew,[status(thm),theory(equality)],[330,237]),
    [iquote('0:Rew:330.0,237.0')] ).

cnf(382,plain,
    equal(rstore_tail(queue_167,index_168),q34),
    inference(rew,[status(thm),theory(equality)],[329,234]),
    [iquote('0:Rew:329.0,234.0')] ).

cnf(383,plain,
    equal(rstore_tail(queue_161,index_162),q33),
    inference(rew,[status(thm),theory(equality)],[328,232]),
    [iquote('0:Rew:328.0,232.0')] ).

cnf(384,plain,
    equal(rstore_tail(queue_155,index_156),q32),
    inference(rew,[status(thm),theory(equality)],[327,230]),
    [iquote('0:Rew:327.0,230.0')] ).

cnf(385,plain,
    equal(rstore_tail(queue_149,index_150),q31),
    inference(rew,[status(thm),theory(equality)],[326,228]),
    [iquote('0:Rew:326.0,228.0')] ).

cnf(386,plain,
    equal(rstore_tail(queue_143,index_144),q30),
    inference(rew,[status(thm),theory(equality)],[325,226]),
    [iquote('0:Rew:325.0,226.0')] ).

cnf(387,plain,
    equal(rstore_tail(queue_137,index_138),q3),
    inference(rew,[status(thm),theory(equality)],[324,224]),
    [iquote('0:Rew:324.0,224.0')] ).

cnf(388,plain,
    equal(rstore_tail(queue_131,index_132),q29),
    inference(rew,[status(thm),theory(equality)],[323,222]),
    [iquote('0:Rew:323.0,222.0')] ).

cnf(389,plain,
    equal(rstore_tail(queue_11,index_12),q10),
    inference(rew,[status(thm),theory(equality)],[303,220]),
    [iquote('0:Rew:303.0,220.0')] ).

cnf(390,plain,
    equal(rstore_tail(queue_125,index_126),q28),
    inference(rew,[status(thm),theory(equality)],[322,219]),
    [iquote('0:Rew:322.0,219.0')] ).

cnf(391,plain,
    equal(rstore_tail(queue_119,index_120),q27),
    inference(rew,[status(thm),theory(equality)],[321,217]),
    [iquote('0:Rew:321.0,217.0')] ).

cnf(392,plain,
    equal(rstore_tail(queue_113,index_114),q26),
    inference(rew,[status(thm),theory(equality)],[320,215]),
    [iquote('0:Rew:320.0,215.0')] ).

cnf(393,plain,
    equal(rstore_tail(queue_107,index_108),q25),
    inference(rew,[status(thm),theory(equality)],[319,212]),
    [iquote('0:Rew:319.0,212.0')] ).

cnf(394,plain,
    equal(rstore_tail(queue_101,index_102),q24),
    inference(rew,[status(thm),theory(equality)],[318,210]),
    [iquote('0:Rew:318.0,210.0')] ).

cnf(395,plain,
    equal(rstore_head(q,index_0),q0),
    inference(rew,[status(thm),theory(equality)],[301,208]),
    [iquote('0:Rew:301.0,208.0')] ).

cnf(686,plain,
    equal(p(index_96),index_93),
    inference(spr,[status(thm),theory(equality)],[206,12]),
    [iquote('0:SpR:206.0,12.0')] ).

cnf(687,plain,
    equal(p(index_90),index_87),
    inference(spr,[status(thm),theory(equality)],[204,12]),
    [iquote('0:SpR:204.0,12.0')] ).

cnf(688,plain,
    equal(p(index_84),index_81),
    inference(spr,[status(thm),theory(equality)],[201,12]),
    [iquote('0:SpR:201.0,12.0')] ).

cnf(689,plain,
    equal(p(index_78),index_75),
    inference(spr,[status(thm),theory(equality)],[199,12]),
    [iquote('0:SpR:199.0,12.0')] ).

cnf(690,plain,
    equal(p(index_72),index_69),
    inference(spr,[status(thm),theory(equality)],[197,12]),
    [iquote('0:SpR:197.0,12.0')] ).

cnf(691,plain,
    equal(p(index_66),index_63),
    inference(spr,[status(thm),theory(equality)],[195,12]),
    [iquote('0:SpR:195.0,12.0')] ).

cnf(692,plain,
    equal(p(index_60),index_57),
    inference(spr,[status(thm),theory(equality)],[193,12]),
    [iquote('0:SpR:193.0,12.0')] ).

cnf(693,plain,
    equal(p(index_6),index_3),
    inference(spr,[status(thm),theory(equality)],[192,12]),
    [iquote('0:SpR:192.0,12.0')] ).

cnf(694,plain,
    equal(p(index_54),index_51),
    inference(spr,[status(thm),theory(equality)],[190,12]),
    [iquote('0:SpR:190.0,12.0')] ).

cnf(695,plain,
    equal(p(index_48),index_45),
    inference(spr,[status(thm),theory(equality)],[188,12]),
    [iquote('0:SpR:188.0,12.0')] ).

cnf(696,plain,
    equal(p(index_42),index_39),
    inference(spr,[status(thm),theory(equality)],[186,12]),
    [iquote('0:SpR:186.0,12.0')] ).

cnf(697,plain,
    equal(p(index_36),index_33),
    inference(spr,[status(thm),theory(equality)],[184,12]),
    [iquote('0:SpR:184.0,12.0')] ).

cnf(698,plain,
    equal(p(index_30),index_27),
    inference(spr,[status(thm),theory(equality)],[182,12]),
    [iquote('0:SpR:182.0,12.0')] ).

cnf(699,plain,
    equal(p(index_281),index_282),
    inference(spr,[status(thm),theory(equality)],[180,12]),
    [iquote('0:SpR:180.0,12.0')] ).

cnf(700,plain,
    equal(p(index_276),index_273),
    inference(spr,[status(thm),theory(equality)],[177,12]),
    [iquote('0:SpR:177.0,12.0')] ).

cnf(701,plain,
    equal(p(index_270),index_267),
    inference(spr,[status(thm),theory(equality)],[175,12]),
    [iquote('0:SpR:175.0,12.0')] ).

cnf(702,plain,
    equal(p(index_264),index_261),
    inference(spr,[status(thm),theory(equality)],[172,12]),
    [iquote('0:SpR:172.0,12.0')] ).

cnf(703,plain,
    equal(p(index_258),index_255),
    inference(spr,[status(thm),theory(equality)],[170,12]),
    [iquote('0:SpR:170.0,12.0')] ).

cnf(704,plain,
    equal(p(index_252),index_249),
    inference(spr,[status(thm),theory(equality)],[168,12]),
    [iquote('0:SpR:168.0,12.0')] ).

cnf(705,plain,
    equal(p(index_246),index_243),
    inference(spr,[status(thm),theory(equality)],[166,12]),
    [iquote('0:SpR:166.0,12.0')] ).

cnf(707,plain,
    equal(p(index_24),index_21),
    inference(spr,[status(thm),theory(equality)],[163,12]),
    [iquote('0:SpR:163.0,12.0')] ).

cnf(713,plain,
    equal(p(index_204),index_201),
    inference(spr,[status(thm),theory(equality)],[150,12]),
    [iquote('0:SpR:150.0,12.0')] ).

cnf(716,plain,
    equal(p(index_186),index_183),
    inference(spr,[status(thm),theory(equality)],[144,12]),
    [iquote('0:SpR:144.0,12.0')] ).

cnf(718,plain,
    equal(p(index_18),index_15),
    inference(spr,[status(thm),theory(equality)],[141,12]),
    [iquote('0:SpR:141.0,12.0')] ).

cnf(725,plain,
    equal(p(index_138),index_135),
    inference(spr,[status(thm),theory(equality)],[126,12]),
    [iquote('0:SpR:126.0,12.0')] ).

cnf(729,plain,
    equal(p(index_12),index_9),
    inference(spr,[status(thm),theory(equality)],[119,12]),
    [iquote('0:SpR:119.0,12.0')] ).

cnf(731,plain,
    equal(p(index_108),index_105),
    inference(spr,[status(thm),theory(equality)],[115,12]),
    [iquote('0:SpR:115.0,12.0')] ).

cnf(732,plain,
    equal(p(index_102),index_99),
    inference(spr,[status(thm),theory(equality)],[113,12]),
    [iquote('0:SpR:113.0,12.0')] ).

cnf(970,plain,
    equal(s(s(u)),p(u)),
    inference(spr,[status(thm),theory(equality)],[16,12]),
    [iquote('0:SpR:16.0,12.0')] ).

cnf(1076,plain,
    equal(p(index_93),s(index_96)),
    inference(spr,[status(thm),theory(equality)],[206,970]),
    [iquote('0:SpR:206.0,970.0')] ).

cnf(1135,plain,
    equal(rselect_tail(q23),index_96),
    inference(spr,[status(thm),theory(equality)],[349,5]),
    [iquote('0:SpR:349.0,5.0')] ).

cnf(1136,plain,
    equal(rselect_tail(q22),index_90),
    inference(spr,[status(thm),theory(equality)],[350,5]),
    [iquote('0:SpR:350.0,5.0')] ).

cnf(1137,plain,
    equal(rselect_tail(q21),index_84),
    inference(spr,[status(thm),theory(equality)],[351,5]),
    [iquote('0:SpR:351.0,5.0')] ).

cnf(1138,plain,
    equal(rselect_tail(q20),index_78),
    inference(spr,[status(thm),theory(equality)],[352,5]),
    [iquote('0:SpR:352.0,5.0')] ).

cnf(1139,plain,
    equal(rselect_tail(q2),index_72),
    inference(spr,[status(thm),theory(equality)],[353,5]),
    [iquote('0:SpR:353.0,5.0')] ).

cnf(1140,plain,
    equal(rselect_tail(q1),index_6),
    inference(spr,[status(thm),theory(equality)],[354,5]),
    [iquote('0:SpR:354.0,5.0')] ).

cnf(1141,plain,
    equal(rselect_tail(q19),index_66),
    inference(spr,[status(thm),theory(equality)],[355,5]),
    [iquote('0:SpR:355.0,5.0')] ).

cnf(1142,plain,
    equal(rselect_tail(q18),index_60),
    inference(spr,[status(thm),theory(equality)],[356,5]),
    [iquote('0:SpR:356.0,5.0')] ).

cnf(1143,plain,
    equal(rselect_tail(q17),index_54),
    inference(spr,[status(thm),theory(equality)],[357,5]),
    [iquote('0:SpR:357.0,5.0')] ).

cnf(1144,plain,
    equal(rselect_tail(q16),index_48),
    inference(spr,[status(thm),theory(equality)],[358,5]),
    [iquote('0:SpR:358.0,5.0')] ).

cnf(1145,plain,
    equal(rselect_tail(q15),index_42),
    inference(spr,[status(thm),theory(equality)],[359,5]),
    [iquote('0:SpR:359.0,5.0')] ).

cnf(1146,plain,
    equal(rselect_tail(q14),index_36),
    inference(spr,[status(thm),theory(equality)],[360,5]),
    [iquote('0:SpR:360.0,5.0')] ).

cnf(1147,plain,
    equal(rselect_tail(q13),index_30),
    inference(spr,[status(thm),theory(equality)],[361,5]),
    [iquote('0:SpR:361.0,5.0')] ).

cnf(1148,plain,
    equal(rselect_tail(q9),index_276),
    inference(spr,[status(thm),theory(equality)],[362,5]),
    [iquote('0:SpR:362.0,5.0')] ).

cnf(1149,plain,
    equal(rselect_tail(q8),index_270),
    inference(spr,[status(thm),theory(equality)],[363,5]),
    [iquote('0:SpR:363.0,5.0')] ).

cnf(1150,plain,
    equal(rselect_tail(q7),index_264),
    inference(spr,[status(thm),theory(equality)],[364,5]),
    [iquote('0:SpR:364.0,5.0')] ).

cnf(1151,plain,
    equal(rselect_tail(q6),index_258),
    inference(spr,[status(thm),theory(equality)],[365,5]),
    [iquote('0:SpR:365.0,5.0')] ).

cnf(1152,plain,
    equal(rselect_tail(q5),index_252),
    inference(spr,[status(thm),theory(equality)],[366,5]),
    [iquote('0:SpR:366.0,5.0')] ).

cnf(1153,plain,
    equal(rselect_tail(q12),index_24),
    inference(spr,[status(thm),theory(equality)],[367,5]),
    [iquote('0:SpR:367.0,5.0')] ).

cnf(1154,plain,
    equal(rselect_tail(q46),index_246),
    inference(spr,[status(thm),theory(equality)],[368,5]),
    [iquote('0:SpR:368.0,5.0')] ).

cnf(1155,plain,
    equal(rselect_tail(q45),index_240),
    inference(spr,[status(thm),theory(equality)],[369,5]),
    [iquote('0:SpR:369.0,5.0')] ).

cnf(1156,plain,
    equal(rselect_tail(q44),index_234),
    inference(spr,[status(thm),theory(equality)],[370,5]),
    [iquote('0:SpR:370.0,5.0')] ).

cnf(1157,plain,
    equal(rselect_tail(q43),index_228),
    inference(spr,[status(thm),theory(equality)],[371,5]),
    [iquote('0:SpR:371.0,5.0')] ).

cnf(1158,plain,
    equal(rselect_tail(q42),index_222),
    inference(spr,[status(thm),theory(equality)],[372,5]),
    [iquote('0:SpR:372.0,5.0')] ).

cnf(1159,plain,
    equal(rselect_tail(q41),index_216),
    inference(spr,[status(thm),theory(equality)],[373,5]),
    [iquote('0:SpR:373.0,5.0')] ).

cnf(1160,plain,
    equal(rselect_tail(q40),index_210),
    inference(spr,[status(thm),theory(equality)],[374,5]),
    [iquote('0:SpR:374.0,5.0')] ).

cnf(1161,plain,
    equal(rselect_tail(q4),index_204),
    inference(spr,[status(thm),theory(equality)],[375,5]),
    [iquote('0:SpR:375.0,5.0')] ).

cnf(1162,plain,
    equal(rselect_tail(q39),index_198),
    inference(spr,[status(thm),theory(equality)],[376,5]),
    [iquote('0:SpR:376.0,5.0')] ).

cnf(1163,plain,
    equal(rselect_tail(q38),index_192),
    inference(spr,[status(thm),theory(equality)],[377,5]),
    [iquote('0:SpR:377.0,5.0')] ).

cnf(1164,plain,
    equal(rselect_tail(q11),index_18),
    inference(spr,[status(thm),theory(equality)],[378,5]),
    [iquote('0:SpR:378.0,5.0')] ).

cnf(1165,plain,
    equal(rselect_tail(q37),index_186),
    inference(spr,[status(thm),theory(equality)],[379,5]),
    [iquote('0:SpR:379.0,5.0')] ).

cnf(1166,plain,
    equal(rselect_tail(q36),index_180),
    inference(spr,[status(thm),theory(equality)],[380,5]),
    [iquote('0:SpR:380.0,5.0')] ).

cnf(1167,plain,
    equal(rselect_tail(q35),index_174),
    inference(spr,[status(thm),theory(equality)],[381,5]),
    [iquote('0:SpR:381.0,5.0')] ).

cnf(1168,plain,
    equal(rselect_tail(q34),index_168),
    inference(spr,[status(thm),theory(equality)],[382,5]),
    [iquote('0:SpR:382.0,5.0')] ).

cnf(1169,plain,
    equal(rselect_tail(q33),index_162),
    inference(spr,[status(thm),theory(equality)],[383,5]),
    [iquote('0:SpR:383.0,5.0')] ).

cnf(1170,plain,
    equal(rselect_tail(q32),index_156),
    inference(spr,[status(thm),theory(equality)],[384,5]),
    [iquote('0:SpR:384.0,5.0')] ).

cnf(1171,plain,
    equal(rselect_tail(q31),index_150),
    inference(spr,[status(thm),theory(equality)],[385,5]),
    [iquote('0:SpR:385.0,5.0')] ).

cnf(1172,plain,
    equal(rselect_tail(q30),index_144),
    inference(spr,[status(thm),theory(equality)],[386,5]),
    [iquote('0:SpR:386.0,5.0')] ).

cnf(1173,plain,
    equal(rselect_tail(q3),index_138),
    inference(spr,[status(thm),theory(equality)],[387,5]),
    [iquote('0:SpR:387.0,5.0')] ).

cnf(1174,plain,
    equal(rselect_tail(q29),index_132),
    inference(spr,[status(thm),theory(equality)],[388,5]),
    [iquote('0:SpR:388.0,5.0')] ).

cnf(1175,plain,
    equal(rselect_tail(q10),index_12),
    inference(spr,[status(thm),theory(equality)],[389,5]),
    [iquote('0:SpR:389.0,5.0')] ).

cnf(1176,plain,
    equal(rselect_tail(q28),index_126),
    inference(spr,[status(thm),theory(equality)],[390,5]),
    [iquote('0:SpR:390.0,5.0')] ).

cnf(1177,plain,
    equal(rselect_tail(q27),index_120),
    inference(spr,[status(thm),theory(equality)],[391,5]),
    [iquote('0:SpR:391.0,5.0')] ).

cnf(1178,plain,
    equal(rselect_tail(q26),index_114),
    inference(spr,[status(thm),theory(equality)],[392,5]),
    [iquote('0:SpR:392.0,5.0')] ).

cnf(1179,plain,
    equal(rselect_tail(q25),index_108),
    inference(spr,[status(thm),theory(equality)],[393,5]),
    [iquote('0:SpR:393.0,5.0')] ).

cnf(1180,plain,
    equal(rselect_tail(q24),index_102),
    inference(spr,[status(thm),theory(equality)],[394,5]),
    [iquote('0:SpR:394.0,5.0')] ).

cnf(1181,plain,
    equal(index_96,index_99),
    inference(rew,[status(thm),theory(equality)],[207,1135]),
    [iquote('0:Rew:207.0,1135.0')] ).

cnf(1182,plain,
    equal(s(index_93),index_99),
    inference(rew,[status(thm),theory(equality)],[1181,206]),
    [iquote('0:Rew:1181.0,206.0')] ).

cnf(1183,plain,
    equal(rstore_tail(queue_95,index_99),q23),
    inference(rew,[status(thm),theory(equality)],[1181,349]),
    [iquote('0:Rew:1181.0,349.0')] ).

cnf(1184,plain,
    equal(p(index_99),index_93),
    inference(rew,[status(thm),theory(equality)],[1181,686]),
    [iquote('0:Rew:1181.0,686.0')] ).

cnf(1186,plain,
    equal(p(index_93),s(index_99)),
    inference(rew,[status(thm),theory(equality)],[1181,1076]),
    [iquote('0:Rew:1181.0,1076.0')] ).

cnf(1188,plain,
    equal(index_90,index_93),
    inference(rew,[status(thm),theory(equality)],[205,1136]),
    [iquote('0:Rew:205.0,1136.0')] ).

cnf(1189,plain,
    equal(s(index_87),index_93),
    inference(rew,[status(thm),theory(equality)],[1188,204]),
    [iquote('0:Rew:1188.0,204.0')] ).

cnf(1190,plain,
    equal(rstore_tail(queue_89,index_93),q22),
    inference(rew,[status(thm),theory(equality)],[1188,350]),
    [iquote('0:Rew:1188.0,350.0')] ).

cnf(1191,plain,
    equal(p(index_93),index_87),
    inference(rew,[status(thm),theory(equality)],[1188,687]),
    [iquote('0:Rew:1188.0,687.0')] ).

cnf(1195,plain,
    equal(index_84,index_87),
    inference(rew,[status(thm),theory(equality)],[202,1137]),
    [iquote('0:Rew:202.0,1137.0')] ).

cnf(1197,plain,
    equal(rstore_tail(queue_83,index_87),q21),
    inference(rew,[status(thm),theory(equality)],[1195,351]),
    [iquote('0:Rew:1195.0,351.0')] ).

cnf(1198,plain,
    equal(p(index_87),index_81),
    inference(rew,[status(thm),theory(equality)],[1195,688]),
    [iquote('0:Rew:1195.0,688.0')] ).

cnf(1201,plain,
    equal(index_78,index_81),
    inference(rew,[status(thm),theory(equality)],[200,1138]),
    [iquote('0:Rew:200.0,1138.0')] ).

cnf(1203,plain,
    equal(rstore_tail(queue_77,index_81),q20),
    inference(rew,[status(thm),theory(equality)],[1201,352]),
    [iquote('0:Rew:1201.0,352.0')] ).

cnf(1204,plain,
    equal(p(index_81),index_75),
    inference(rew,[status(thm),theory(equality)],[1201,689]),
    [iquote('0:Rew:1201.0,689.0')] ).

cnf(1207,plain,
    equal(index_72,index_135),
    inference(rew,[status(thm),theory(equality)],[125,1139]),
    [iquote('0:Rew:125.0,1139.0')] ).

cnf(1209,plain,
    equal(rstore_tail(queue_71,index_135),q2),
    inference(rew,[status(thm),theory(equality)],[1207,353]),
    [iquote('0:Rew:1207.0,353.0')] ).

cnf(1210,plain,
    equal(p(index_135),index_69),
    inference(rew,[status(thm),theory(equality)],[1207,690]),
    [iquote('0:Rew:1207.0,690.0')] ).

cnf(1213,plain,
    equal(index_6,index_69),
    inference(rew,[status(thm),theory(equality)],[196,1140]),
    [iquote('0:Rew:196.0,1140.0')] ).

cnf(1215,plain,
    equal(rstore_tail(queue_5,index_69),q1),
    inference(rew,[status(thm),theory(equality)],[1213,354]),
    [iquote('0:Rew:1213.0,354.0')] ).

cnf(1216,plain,
    equal(p(index_69),index_3),
    inference(rew,[status(thm),theory(equality)],[1213,693]),
    [iquote('0:Rew:1213.0,693.0')] ).

cnf(1219,plain,
    equal(index_66,index_75),
    inference(rew,[status(thm),theory(equality)],[198,1141]),
    [iquote('0:Rew:198.0,1141.0')] ).

cnf(1221,plain,
    equal(rstore_tail(queue_65,index_75),q19),
    inference(rew,[status(thm),theory(equality)],[1219,355]),
    [iquote('0:Rew:1219.0,355.0')] ).

cnf(1222,plain,
    equal(p(index_75),index_63),
    inference(rew,[status(thm),theory(equality)],[1219,691]),
    [iquote('0:Rew:1219.0,691.0')] ).

cnf(1225,plain,
    equal(index_60,index_63),
    inference(rew,[status(thm),theory(equality)],[194,1142]),
    [iquote('0:Rew:194.0,1142.0')] ).

cnf(1227,plain,
    equal(rstore_tail(queue_59,index_63),q18),
    inference(rew,[status(thm),theory(equality)],[1225,356]),
    [iquote('0:Rew:1225.0,356.0')] ).

cnf(1228,plain,
    equal(p(index_63),index_57),
    inference(rew,[status(thm),theory(equality)],[1225,692]),
    [iquote('0:Rew:1225.0,692.0')] ).

cnf(1231,plain,
    equal(index_54,index_57),
    inference(rew,[status(thm),theory(equality)],[191,1143]),
    [iquote('0:Rew:191.0,1143.0')] ).

cnf(1233,plain,
    equal(rstore_tail(queue_53,index_57),q17),
    inference(rew,[status(thm),theory(equality)],[1231,357]),
    [iquote('0:Rew:1231.0,357.0')] ).

cnf(1234,plain,
    equal(p(index_57),index_51),
    inference(rew,[status(thm),theory(equality)],[1231,694]),
    [iquote('0:Rew:1231.0,694.0')] ).

cnf(1237,plain,
    equal(index_48,index_51),
    inference(rew,[status(thm),theory(equality)],[189,1144]),
    [iquote('0:Rew:189.0,1144.0')] ).

cnf(1239,plain,
    equal(rstore_tail(queue_47,index_51),q16),
    inference(rew,[status(thm),theory(equality)],[1237,358]),
    [iquote('0:Rew:1237.0,358.0')] ).

cnf(1240,plain,
    equal(p(index_51),index_45),
    inference(rew,[status(thm),theory(equality)],[1237,695]),
    [iquote('0:Rew:1237.0,695.0')] ).

cnf(1243,plain,
    equal(index_42,index_45),
    inference(rew,[status(thm),theory(equality)],[187,1145]),
    [iquote('0:Rew:187.0,1145.0')] ).

cnf(1245,plain,
    equal(rstore_tail(queue_41,index_45),q15),
    inference(rew,[status(thm),theory(equality)],[1243,359]),
    [iquote('0:Rew:1243.0,359.0')] ).

cnf(1246,plain,
    equal(p(index_45),index_39),
    inference(rew,[status(thm),theory(equality)],[1243,696]),
    [iquote('0:Rew:1243.0,696.0')] ).

cnf(1249,plain,
    equal(index_36,index_39),
    inference(rew,[status(thm),theory(equality)],[185,1146]),
    [iquote('0:Rew:185.0,1146.0')] ).

cnf(1251,plain,
    equal(rstore_tail(queue_35,index_39),q14),
    inference(rew,[status(thm),theory(equality)],[1249,360]),
    [iquote('0:Rew:1249.0,360.0')] ).

cnf(1252,plain,
    equal(p(index_39),index_33),
    inference(rew,[status(thm),theory(equality)],[1249,697]),
    [iquote('0:Rew:1249.0,697.0')] ).

cnf(1255,plain,
    equal(index_30,index_33),
    inference(rew,[status(thm),theory(equality)],[183,1147]),
    [iquote('0:Rew:183.0,1147.0')] ).

cnf(1257,plain,
    equal(rstore_tail(queue_29,index_33),q13),
    inference(rew,[status(thm),theory(equality)],[1255,361]),
    [iquote('0:Rew:1255.0,361.0')] ).

cnf(1258,plain,
    equal(p(index_33),index_27),
    inference(rew,[status(thm),theory(equality)],[1255,698]),
    [iquote('0:Rew:1255.0,698.0')] ).

cnf(1261,plain,
    equal(index_276,index_9),
    inference(rew,[status(thm),theory(equality)],[203,1148]),
    [iquote('0:Rew:203.0,1148.0')] ).

cnf(1263,plain,
    equal(rstore_tail(queue_275,index_9),q9),
    inference(rew,[status(thm),theory(equality)],[1261,362]),
    [iquote('0:Rew:1261.0,362.0')] ).

cnf(1264,plain,
    equal(p(index_9),index_273),
    inference(rew,[status(thm),theory(equality)],[1261,700]),
    [iquote('0:Rew:1261.0,700.0')] ).

cnf(1267,plain,
    equal(index_270,index_273),
    inference(rew,[status(thm),theory(equality)],[176,1149]),
    [iquote('0:Rew:176.0,1149.0')] ).

cnf(1269,plain,
    equal(rstore_tail(queue_269,index_273),q8),
    inference(rew,[status(thm),theory(equality)],[1267,363]),
    [iquote('0:Rew:1267.0,363.0')] ).

cnf(1270,plain,
    equal(p(index_273),index_267),
    inference(rew,[status(thm),theory(equality)],[1267,701]),
    [iquote('0:Rew:1267.0,701.0')] ).

cnf(1273,plain,
    equal(index_264,index_267),
    inference(rew,[status(thm),theory(equality)],[173,1150]),
    [iquote('0:Rew:173.0,1150.0')] ).

cnf(1275,plain,
    equal(rstore_tail(queue_263,index_267),q7),
    inference(rew,[status(thm),theory(equality)],[1273,364]),
    [iquote('0:Rew:1273.0,364.0')] ).

cnf(1276,plain,
    equal(p(index_267),index_261),
    inference(rew,[status(thm),theory(equality)],[1273,702]),
    [iquote('0:Rew:1273.0,702.0')] ).

cnf(1279,plain,
    equal(index_258,index_261),
    inference(rew,[status(thm),theory(equality)],[171,1151]),
    [iquote('0:Rew:171.0,1151.0')] ).

cnf(1281,plain,
    equal(rstore_tail(queue_257,index_261),q6),
    inference(rew,[status(thm),theory(equality)],[1279,365]),
    [iquote('0:Rew:1279.0,365.0')] ).

cnf(1282,plain,
    equal(p(index_261),index_255),
    inference(rew,[status(thm),theory(equality)],[1279,703]),
    [iquote('0:Rew:1279.0,703.0')] ).

cnf(1285,plain,
    equal(index_252,index_255),
    inference(rew,[status(thm),theory(equality)],[169,1152]),
    [iquote('0:Rew:169.0,1152.0')] ).

cnf(1287,plain,
    equal(rstore_tail(queue_251,index_255),q5),
    inference(rew,[status(thm),theory(equality)],[1285,366]),
    [iquote('0:Rew:1285.0,366.0')] ).

cnf(1288,plain,
    equal(p(index_255),index_249),
    inference(rew,[status(thm),theory(equality)],[1285,704]),
    [iquote('0:Rew:1285.0,704.0')] ).

cnf(1291,plain,
    equal(index_24,index_27),
    inference(rew,[status(thm),theory(equality)],[174,1153]),
    [iquote('0:Rew:174.0,1153.0')] ).

cnf(1293,plain,
    equal(rstore_tail(queue_23,index_27),q12),
    inference(rew,[status(thm),theory(equality)],[1291,367]),
    [iquote('0:Rew:1291.0,367.0')] ).

cnf(1294,plain,
    equal(p(index_27),index_21),
    inference(rew,[status(thm),theory(equality)],[1291,707]),
    [iquote('0:Rew:1291.0,707.0')] ).

cnf(1297,plain,
    equal(index_281,index_246),
    inference(rew,[status(thm),theory(equality)],[179,1154]),
    [iquote('0:Rew:179.0,1154.0')] ).

cnf(1300,plain,
    equal(p(index_246),index_282),
    inference(rew,[status(thm),theory(equality)],[1297,699]),
    [iquote('0:Rew:1297.0,699.0')] ).

cnf(1303,plain,
    equal(index_240,index_243),
    inference(rew,[status(thm),theory(equality)],[165,1155]),
    [iquote('0:Rew:165.0,1155.0')] ).

cnf(1304,plain,
    equal(s(index_237),index_243),
    inference(rew,[status(thm),theory(equality)],[1303,164]),
    [iquote('0:Rew:1303.0,164.0')] ).

cnf(1305,plain,
    equal(rstore_tail(queue_239,index_243),q45),
    inference(rew,[status(thm),theory(equality)],[1303,369]),
    [iquote('0:Rew:1303.0,369.0')] ).

cnf(1309,plain,
    equal(index_234,index_237),
    inference(rew,[status(thm),theory(equality)],[162,1156]),
    [iquote('0:Rew:162.0,1156.0')] ).

cnf(1310,plain,
    equal(s(index_231),index_237),
    inference(rew,[status(thm),theory(equality)],[1309,161]),
    [iquote('0:Rew:1309.0,161.0')] ).

cnf(1311,plain,
    equal(rstore_tail(queue_233,index_237),q44),
    inference(rew,[status(thm),theory(equality)],[1309,370]),
    [iquote('0:Rew:1309.0,370.0')] ).

cnf(1315,plain,
    equal(index_228,index_231),
    inference(rew,[status(thm),theory(equality)],[160,1157]),
    [iquote('0:Rew:160.0,1157.0')] ).

cnf(1316,plain,
    equal(s(index_225),index_231),
    inference(rew,[status(thm),theory(equality)],[1315,159]),
    [iquote('0:Rew:1315.0,159.0')] ).

cnf(1317,plain,
    equal(rstore_tail(queue_227,index_231),q43),
    inference(rew,[status(thm),theory(equality)],[1315,371]),
    [iquote('0:Rew:1315.0,371.0')] ).

cnf(1321,plain,
    equal(index_222,index_225),
    inference(rew,[status(thm),theory(equality)],[158,1158]),
    [iquote('0:Rew:158.0,1158.0')] ).

cnf(1322,plain,
    equal(s(index_219),index_225),
    inference(rew,[status(thm),theory(equality)],[1321,157]),
    [iquote('0:Rew:1321.0,157.0')] ).

cnf(1323,plain,
    equal(rstore_tail(queue_221,index_225),q42),
    inference(rew,[status(thm),theory(equality)],[1321,372]),
    [iquote('0:Rew:1321.0,372.0')] ).

cnf(1327,plain,
    equal(index_216,index_219),
    inference(rew,[status(thm),theory(equality)],[156,1159]),
    [iquote('0:Rew:156.0,1159.0')] ).

cnf(1328,plain,
    equal(s(index_213),index_219),
    inference(rew,[status(thm),theory(equality)],[1327,155]),
    [iquote('0:Rew:1327.0,155.0')] ).

cnf(1329,plain,
    equal(rstore_tail(queue_215,index_219),q41),
    inference(rew,[status(thm),theory(equality)],[1327,373]),
    [iquote('0:Rew:1327.0,373.0')] ).

cnf(1333,plain,
    equal(index_210,index_213),
    inference(rew,[status(thm),theory(equality)],[154,1160]),
    [iquote('0:Rew:154.0,1160.0')] ).

cnf(1334,plain,
    equal(s(index_207),index_213),
    inference(rew,[status(thm),theory(equality)],[1333,153]),
    [iquote('0:Rew:1333.0,153.0')] ).

cnf(1335,plain,
    equal(rstore_tail(queue_209,index_213),q40),
    inference(rew,[status(thm),theory(equality)],[1333,374]),
    [iquote('0:Rew:1333.0,374.0')] ).

cnf(1339,plain,
    equal(index_204,index_249),
    inference(rew,[status(thm),theory(equality)],[167,1161]),
    [iquote('0:Rew:167.0,1161.0')] ).

cnf(1341,plain,
    equal(rstore_tail(queue_203,index_249),q4),
    inference(rew,[status(thm),theory(equality)],[1339,375]),
    [iquote('0:Rew:1339.0,375.0')] ).

cnf(1342,plain,
    equal(p(index_249),index_201),
    inference(rew,[status(thm),theory(equality)],[1339,713]),
    [iquote('0:Rew:1339.0,713.0')] ).

cnf(1345,plain,
    equal(index_198,index_207),
    inference(rew,[status(thm),theory(equality)],[151,1162]),
    [iquote('0:Rew:151.0,1162.0')] ).

cnf(1346,plain,
    equal(s(index_195),index_207),
    inference(rew,[status(thm),theory(equality)],[1345,148]),
    [iquote('0:Rew:1345.0,148.0')] ).

cnf(1347,plain,
    equal(rstore_tail(queue_197,index_207),q39),
    inference(rew,[status(thm),theory(equality)],[1345,376]),
    [iquote('0:Rew:1345.0,376.0')] ).

cnf(1351,plain,
    equal(index_192,index_195),
    inference(rew,[status(thm),theory(equality)],[147,1163]),
    [iquote('0:Rew:147.0,1163.0')] ).

cnf(1352,plain,
    equal(s(index_189),index_195),
    inference(rew,[status(thm),theory(equality)],[1351,146]),
    [iquote('0:Rew:1351.0,146.0')] ).

cnf(1353,plain,
    equal(rstore_tail(queue_191,index_195),q38),
    inference(rew,[status(thm),theory(equality)],[1351,377]),
    [iquote('0:Rew:1351.0,377.0')] ).

cnf(1357,plain,
    equal(index_18,index_21),
    inference(rew,[status(thm),theory(equality)],[152,1164]),
    [iquote('0:Rew:152.0,1164.0')] ).

cnf(1359,plain,
    equal(rstore_tail(queue_17,index_21),q11),
    inference(rew,[status(thm),theory(equality)],[1357,378]),
    [iquote('0:Rew:1357.0,378.0')] ).

cnf(1360,plain,
    equal(p(index_21),index_15),
    inference(rew,[status(thm),theory(equality)],[1357,718]),
    [iquote('0:Rew:1357.0,718.0')] ).

cnf(1363,plain,
    equal(index_186,index_189),
    inference(rew,[status(thm),theory(equality)],[145,1165]),
    [iquote('0:Rew:145.0,1165.0')] ).

cnf(1364,plain,
    equal(s(index_183),index_189),
    inference(rew,[status(thm),theory(equality)],[1363,144]),
    [iquote('0:Rew:1363.0,144.0')] ).

cnf(1365,plain,
    equal(rstore_tail(queue_185,index_189),q37),
    inference(rew,[status(thm),theory(equality)],[1363,379]),
    [iquote('0:Rew:1363.0,379.0')] ).

cnf(1366,plain,
    equal(p(index_189),index_183),
    inference(rew,[status(thm),theory(equality)],[1363,716]),
    [iquote('0:Rew:1363.0,716.0')] ).

cnf(1369,plain,
    equal(index_180,index_183),
    inference(rew,[status(thm),theory(equality)],[143,1166]),
    [iquote('0:Rew:143.0,1166.0')] ).

cnf(1370,plain,
    equal(s(index_177),index_183),
    inference(rew,[status(thm),theory(equality)],[1369,142]),
    [iquote('0:Rew:1369.0,142.0')] ).

cnf(1371,plain,
    equal(rstore_tail(queue_179,index_183),q36),
    inference(rew,[status(thm),theory(equality)],[1369,380]),
    [iquote('0:Rew:1369.0,380.0')] ).

cnf(1375,plain,
    equal(index_174,index_177),
    inference(rew,[status(thm),theory(equality)],[140,1167]),
    [iquote('0:Rew:140.0,1167.0')] ).

cnf(1376,plain,
    equal(s(index_171),index_177),
    inference(rew,[status(thm),theory(equality)],[1375,139]),
    [iquote('0:Rew:1375.0,139.0')] ).

cnf(1377,plain,
    equal(rstore_tail(queue_173,index_177),q35),
    inference(rew,[status(thm),theory(equality)],[1375,381]),
    [iquote('0:Rew:1375.0,381.0')] ).

cnf(1381,plain,
    equal(index_168,index_171),
    inference(rew,[status(thm),theory(equality)],[138,1168]),
    [iquote('0:Rew:138.0,1168.0')] ).

cnf(1382,plain,
    equal(s(index_165),index_171),
    inference(rew,[status(thm),theory(equality)],[1381,137]),
    [iquote('0:Rew:1381.0,137.0')] ).

cnf(1383,plain,
    equal(rstore_tail(queue_167,index_171),q34),
    inference(rew,[status(thm),theory(equality)],[1381,382]),
    [iquote('0:Rew:1381.0,382.0')] ).

cnf(1387,plain,
    equal(index_162,index_165),
    inference(rew,[status(thm),theory(equality)],[136,1169]),
    [iquote('0:Rew:136.0,1169.0')] ).

cnf(1388,plain,
    equal(s(index_159),index_165),
    inference(rew,[status(thm),theory(equality)],[1387,135]),
    [iquote('0:Rew:1387.0,135.0')] ).

cnf(1389,plain,
    equal(rstore_tail(queue_161,index_165),q33),
    inference(rew,[status(thm),theory(equality)],[1387,383]),
    [iquote('0:Rew:1387.0,383.0')] ).

cnf(1393,plain,
    equal(index_156,index_159),
    inference(rew,[status(thm),theory(equality)],[134,1170]),
    [iquote('0:Rew:134.0,1170.0')] ).

cnf(1394,plain,
    equal(s(index_153),index_159),
    inference(rew,[status(thm),theory(equality)],[1393,133]),
    [iquote('0:Rew:1393.0,133.0')] ).

cnf(1395,plain,
    equal(rstore_tail(queue_155,index_159),q32),
    inference(rew,[status(thm),theory(equality)],[1393,384]),
    [iquote('0:Rew:1393.0,384.0')] ).

cnf(1399,plain,
    equal(index_150,index_153),
    inference(rew,[status(thm),theory(equality)],[132,1171]),
    [iquote('0:Rew:132.0,1171.0')] ).

cnf(1400,plain,
    equal(s(index_147),index_153),
    inference(rew,[status(thm),theory(equality)],[1399,131]),
    [iquote('0:Rew:1399.0,131.0')] ).

cnf(1401,plain,
    equal(rstore_tail(queue_149,index_153),q31),
    inference(rew,[status(thm),theory(equality)],[1399,385]),
    [iquote('0:Rew:1399.0,385.0')] ).

cnf(1405,plain,
    equal(index_144,index_147),
    inference(rew,[status(thm),theory(equality)],[129,1172]),
    [iquote('0:Rew:129.0,1172.0')] ).

cnf(1406,plain,
    equal(s(index_141),index_147),
    inference(rew,[status(thm),theory(equality)],[1405,128]),
    [iquote('0:Rew:1405.0,128.0')] ).

cnf(1407,plain,
    equal(rstore_tail(queue_143,index_147),q30),
    inference(rew,[status(thm),theory(equality)],[1405,386]),
    [iquote('0:Rew:1405.0,386.0')] ).

cnf(1411,plain,
    equal(index_138,index_201),
    inference(rew,[status(thm),theory(equality)],[149,1173]),
    [iquote('0:Rew:149.0,1173.0')] ).

cnf(1413,plain,
    equal(rstore_tail(queue_137,index_201),q3),
    inference(rew,[status(thm),theory(equality)],[1411,387]),
    [iquote('0:Rew:1411.0,387.0')] ).

cnf(1414,plain,
    equal(p(index_201),index_135),
    inference(rew,[status(thm),theory(equality)],[1411,725]),
    [iquote('0:Rew:1411.0,725.0')] ).

cnf(1417,plain,
    equal(index_132,index_141),
    inference(rew,[status(thm),theory(equality)],[127,1174]),
    [iquote('0:Rew:127.0,1174.0')] ).

cnf(1418,plain,
    equal(s(index_129),index_141),
    inference(rew,[status(thm),theory(equality)],[1417,124]),
    [iquote('0:Rew:1417.0,124.0')] ).

cnf(1419,plain,
    equal(rstore_tail(queue_131,index_141),q29),
    inference(rew,[status(thm),theory(equality)],[1417,388]),
    [iquote('0:Rew:1417.0,388.0')] ).

cnf(1423,plain,
    equal(index_12,index_15),
    inference(rew,[status(thm),theory(equality)],[130,1175]),
    [iquote('0:Rew:130.0,1175.0')] ).

cnf(1424,plain,
    equal(s(index_9),index_15),
    inference(rew,[status(thm),theory(equality)],[1423,119]),
    [iquote('0:Rew:1423.0,119.0')] ).

cnf(1425,plain,
    equal(rstore_tail(queue_11,index_15),q10),
    inference(rew,[status(thm),theory(equality)],[1423,389]),
    [iquote('0:Rew:1423.0,389.0')] ).

cnf(1426,plain,
    equal(p(index_15),index_9),
    inference(rew,[status(thm),theory(equality)],[1423,729]),
    [iquote('0:Rew:1423.0,729.0')] ).

cnf(1429,plain,
    equal(index_126,index_129),
    inference(rew,[status(thm),theory(equality)],[123,1176]),
    [iquote('0:Rew:123.0,1176.0')] ).

cnf(1430,plain,
    equal(s(index_123),index_129),
    inference(rew,[status(thm),theory(equality)],[1429,122]),
    [iquote('0:Rew:1429.0,122.0')] ).

cnf(1431,plain,
    equal(rstore_tail(queue_125,index_129),q28),
    inference(rew,[status(thm),theory(equality)],[1429,390]),
    [iquote('0:Rew:1429.0,390.0')] ).

cnf(1435,plain,
    equal(index_120,index_123),
    inference(rew,[status(thm),theory(equality)],[121,1177]),
    [iquote('0:Rew:121.0,1177.0')] ).

cnf(1436,plain,
    equal(s(index_117),index_123),
    inference(rew,[status(thm),theory(equality)],[1435,120]),
    [iquote('0:Rew:1435.0,120.0')] ).

cnf(1437,plain,
    equal(rstore_tail(queue_119,index_123),q27),
    inference(rew,[status(thm),theory(equality)],[1435,391]),
    [iquote('0:Rew:1435.0,391.0')] ).

cnf(1441,plain,
    equal(index_114,index_117),
    inference(rew,[status(thm),theory(equality)],[118,1178]),
    [iquote('0:Rew:118.0,1178.0')] ).

cnf(1442,plain,
    equal(s(index_111),index_117),
    inference(rew,[status(thm),theory(equality)],[1441,117]),
    [iquote('0:Rew:1441.0,117.0')] ).

cnf(1443,plain,
    equal(rstore_tail(queue_113,index_117),q26),
    inference(rew,[status(thm),theory(equality)],[1441,392]),
    [iquote('0:Rew:1441.0,392.0')] ).

cnf(1447,plain,
    equal(index_108,index_111),
    inference(rew,[status(thm),theory(equality)],[116,1179]),
    [iquote('0:Rew:116.0,1179.0')] ).

cnf(1448,plain,
    equal(s(index_105),index_111),
    inference(rew,[status(thm),theory(equality)],[1447,115]),
    [iquote('0:Rew:1447.0,115.0')] ).

cnf(1449,plain,
    equal(rstore_tail(queue_107,index_111),q25),
    inference(rew,[status(thm),theory(equality)],[1447,393]),
    [iquote('0:Rew:1447.0,393.0')] ).

cnf(1450,plain,
    equal(p(index_111),index_105),
    inference(rew,[status(thm),theory(equality)],[1447,731]),
    [iquote('0:Rew:1447.0,731.0')] ).

cnf(1453,plain,
    equal(index_102,index_105),
    inference(rew,[status(thm),theory(equality)],[114,1180]),
    [iquote('0:Rew:114.0,1180.0')] ).

cnf(1454,plain,
    equal(s(index_99),index_105),
    inference(rew,[status(thm),theory(equality)],[1453,113]),
    [iquote('0:Rew:1453.0,113.0')] ).

cnf(1455,plain,
    equal(rstore_tail(queue_101,index_105),q24),
    inference(rew,[status(thm),theory(equality)],[1453,394]),
    [iquote('0:Rew:1453.0,394.0')] ).

cnf(1456,plain,
    equal(p(index_105),index_99),
    inference(rew,[status(thm),theory(equality)],[1453,732]),
    [iquote('0:Rew:1453.0,732.0')] ).

cnf(1459,plain,
    equal(index_282,index_243),
    inference(rew,[status(thm),theory(equality)],[705,1300]),
    [iquote('0:Rew:705.0,1300.0')] ).

cnf(1460,plain,
    equal(select(earray_278,index_243),elem_283),
    inference(rew,[status(thm),theory(equality)],[1459,111]),
    [iquote('0:Rew:1459.0,111.0')] ).

cnf(1465,plain,
    equal(index_87,index_105),
    inference(rew,[status(thm),theory(equality)],[1191,1186,1454]),
    [iquote('0:Rew:1191.0,1186.0,1454.0,1186.0')] ).

cnf(1469,plain,
    equal(s(index_105),index_93),
    inference(rew,[status(thm),theory(equality)],[1465,1189]),
    [iquote('0:Rew:1465.0,1189.0')] ).

cnf(1473,plain,
    equal(p(index_105),index_81),
    inference(rew,[status(thm),theory(equality)],[1465,1198]),
    [iquote('0:Rew:1465.0,1198.0')] ).

cnf(1475,plain,
    equal(index_93,index_111),
    inference(rew,[status(thm),theory(equality)],[1448,1469]),
    [iquote('0:Rew:1448.0,1469.0')] ).

cnf(1479,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1475,1182]),
    [iquote('0:Rew:1475.0,1182.0')] ).

cnf(1480,plain,
    equal(p(index_99),index_111),
    inference(rew,[status(thm),theory(equality)],[1475,1184]),
    [iquote('0:Rew:1475.0,1184.0')] ).

cnf(1484,plain,
    equal(index_81,index_99),
    inference(rew,[status(thm),theory(equality)],[1456,1473]),
    [iquote('0:Rew:1456.0,1473.0')] ).

cnf(1489,plain,
    equal(p(index_99),index_75),
    inference(rew,[status(thm),theory(equality)],[1484,1204]),
    [iquote('0:Rew:1484.0,1204.0')] ).

cnf(1493,plain,
    equal(index_117,index_99),
    inference(rew,[status(thm),theory(equality)],[1442,1479]),
    [iquote('0:Rew:1442.0,1479.0')] ).

cnf(1497,plain,
    equal(s(index_99),index_123),
    inference(rew,[status(thm),theory(equality)],[1493,1436]),
    [iquote('0:Rew:1493.0,1436.0')] ).

cnf(1500,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1493,1442]),
    [iquote('0:Rew:1493.0,1442.0')] ).

cnf(1503,plain,
    equal(index_75,index_111),
    inference(rew,[status(thm),theory(equality)],[1480,1489]),
    [iquote('0:Rew:1480.0,1489.0')] ).

cnf(1508,plain,
    equal(p(index_111),index_63),
    inference(rew,[status(thm),theory(equality)],[1503,1222]),
    [iquote('0:Rew:1503.0,1222.0')] ).

cnf(1512,plain,
    equal(index_123,index_105),
    inference(rew,[status(thm),theory(equality)],[1454,1497]),
    [iquote('0:Rew:1454.0,1497.0')] ).

cnf(1516,plain,
    equal(s(index_105),index_129),
    inference(rew,[status(thm),theory(equality)],[1512,1430]),
    [iquote('0:Rew:1512.0,1430.0')] ).

cnf(1521,plain,
    equal(index_63,index_105),
    inference(rew,[status(thm),theory(equality)],[1450,1508]),
    [iquote('0:Rew:1450.0,1508.0')] ).

cnf(1526,plain,
    equal(p(index_105),index_57),
    inference(rew,[status(thm),theory(equality)],[1521,1228]),
    [iquote('0:Rew:1521.0,1228.0')] ).

cnf(1530,plain,
    equal(index_129,index_111),
    inference(rew,[status(thm),theory(equality)],[1448,1516]),
    [iquote('0:Rew:1448.0,1516.0')] ).

cnf(1534,plain,
    equal(s(index_111),index_141),
    inference(rew,[status(thm),theory(equality)],[1530,1418]),
    [iquote('0:Rew:1530.0,1418.0')] ).

cnf(1539,plain,
    equal(index_57,index_99),
    inference(rew,[status(thm),theory(equality)],[1456,1526]),
    [iquote('0:Rew:1456.0,1526.0')] ).

cnf(1544,plain,
    equal(p(index_99),index_51),
    inference(rew,[status(thm),theory(equality)],[1539,1234]),
    [iquote('0:Rew:1539.0,1234.0')] ).

cnf(1548,plain,
    equal(index_141,index_99),
    inference(rew,[status(thm),theory(equality)],[1500,1534]),
    [iquote('0:Rew:1500.0,1534.0')] ).

cnf(1552,plain,
    equal(s(index_99),index_147),
    inference(rew,[status(thm),theory(equality)],[1548,1406]),
    [iquote('0:Rew:1548.0,1406.0')] ).

cnf(1557,plain,
    equal(index_51,index_111),
    inference(rew,[status(thm),theory(equality)],[1480,1544]),
    [iquote('0:Rew:1480.0,1544.0')] ).

cnf(1562,plain,
    equal(p(index_111),index_45),
    inference(rew,[status(thm),theory(equality)],[1557,1240]),
    [iquote('0:Rew:1557.0,1240.0')] ).

cnf(1566,plain,
    equal(index_147,index_105),
    inference(rew,[status(thm),theory(equality)],[1454,1552]),
    [iquote('0:Rew:1454.0,1552.0')] ).

cnf(1570,plain,
    equal(s(index_105),index_153),
    inference(rew,[status(thm),theory(equality)],[1566,1400]),
    [iquote('0:Rew:1566.0,1400.0')] ).

cnf(1575,plain,
    equal(index_45,index_105),
    inference(rew,[status(thm),theory(equality)],[1450,1562]),
    [iquote('0:Rew:1450.0,1562.0')] ).

cnf(1580,plain,
    equal(p(index_105),index_39),
    inference(rew,[status(thm),theory(equality)],[1575,1246]),
    [iquote('0:Rew:1575.0,1246.0')] ).

cnf(1584,plain,
    equal(index_153,index_111),
    inference(rew,[status(thm),theory(equality)],[1448,1570]),
    [iquote('0:Rew:1448.0,1570.0')] ).

cnf(1588,plain,
    equal(s(index_111),index_159),
    inference(rew,[status(thm),theory(equality)],[1584,1394]),
    [iquote('0:Rew:1584.0,1394.0')] ).

cnf(1593,plain,
    equal(index_39,index_99),
    inference(rew,[status(thm),theory(equality)],[1456,1580]),
    [iquote('0:Rew:1456.0,1580.0')] ).

cnf(1598,plain,
    equal(p(index_99),index_33),
    inference(rew,[status(thm),theory(equality)],[1593,1252]),
    [iquote('0:Rew:1593.0,1252.0')] ).

cnf(1602,plain,
    equal(index_159,index_99),
    inference(rew,[status(thm),theory(equality)],[1500,1588]),
    [iquote('0:Rew:1500.0,1588.0')] ).

cnf(1606,plain,
    equal(s(index_99),index_165),
    inference(rew,[status(thm),theory(equality)],[1602,1388]),
    [iquote('0:Rew:1602.0,1388.0')] ).

cnf(1611,plain,
    equal(index_33,index_111),
    inference(rew,[status(thm),theory(equality)],[1480,1598]),
    [iquote('0:Rew:1480.0,1598.0')] ).

cnf(1616,plain,
    equal(p(index_111),index_27),
    inference(rew,[status(thm),theory(equality)],[1611,1258]),
    [iquote('0:Rew:1611.0,1258.0')] ).

cnf(1620,plain,
    equal(index_165,index_105),
    inference(rew,[status(thm),theory(equality)],[1454,1606]),
    [iquote('0:Rew:1454.0,1606.0')] ).

cnf(1624,plain,
    equal(s(index_105),index_171),
    inference(rew,[status(thm),theory(equality)],[1620,1382]),
    [iquote('0:Rew:1620.0,1382.0')] ).

cnf(1629,plain,
    equal(index_27,index_105),
    inference(rew,[status(thm),theory(equality)],[1450,1616]),
    [iquote('0:Rew:1450.0,1616.0')] ).

cnf(1634,plain,
    equal(p(index_105),index_21),
    inference(rew,[status(thm),theory(equality)],[1629,1294]),
    [iquote('0:Rew:1629.0,1294.0')] ).

cnf(1638,plain,
    equal(index_171,index_111),
    inference(rew,[status(thm),theory(equality)],[1448,1624]),
    [iquote('0:Rew:1448.0,1624.0')] ).

cnf(1642,plain,
    equal(s(index_111),index_177),
    inference(rew,[status(thm),theory(equality)],[1638,1376]),
    [iquote('0:Rew:1638.0,1376.0')] ).

cnf(1647,plain,
    equal(index_21,index_99),
    inference(rew,[status(thm),theory(equality)],[1456,1634]),
    [iquote('0:Rew:1456.0,1634.0')] ).

cnf(1652,plain,
    equal(p(index_99),index_15),
    inference(rew,[status(thm),theory(equality)],[1647,1360]),
    [iquote('0:Rew:1647.0,1360.0')] ).

cnf(1656,plain,
    equal(index_177,index_99),
    inference(rew,[status(thm),theory(equality)],[1500,1642]),
    [iquote('0:Rew:1500.0,1642.0')] ).

cnf(1660,plain,
    equal(s(index_99),index_183),
    inference(rew,[status(thm),theory(equality)],[1656,1370]),
    [iquote('0:Rew:1656.0,1370.0')] ).

cnf(1665,plain,
    equal(index_15,index_111),
    inference(rew,[status(thm),theory(equality)],[1480,1652]),
    [iquote('0:Rew:1480.0,1652.0')] ).

cnf(1669,plain,
    equal(s(index_9),index_111),
    inference(rew,[status(thm),theory(equality)],[1665,1424]),
    [iquote('0:Rew:1665.0,1424.0')] ).

cnf(1670,plain,
    equal(p(index_111),index_9),
    inference(rew,[status(thm),theory(equality)],[1665,1426]),
    [iquote('0:Rew:1665.0,1426.0')] ).

cnf(1674,plain,
    equal(index_183,index_105),
    inference(rew,[status(thm),theory(equality)],[1454,1660]),
    [iquote('0:Rew:1454.0,1660.0')] ).

cnf(1678,plain,
    equal(s(index_105),index_189),
    inference(rew,[status(thm),theory(equality)],[1674,1364]),
    [iquote('0:Rew:1674.0,1364.0')] ).

cnf(1679,plain,
    equal(p(index_189),index_105),
    inference(rew,[status(thm),theory(equality)],[1674,1366]),
    [iquote('0:Rew:1674.0,1366.0')] ).

cnf(1683,plain,
    equal(index_105,index_9),
    inference(rew,[status(thm),theory(equality)],[1450,1670]),
    [iquote('0:Rew:1450.0,1670.0')] ).

cnf(1690,plain,
    equal(s(index_99),index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1454]),
    [iquote('0:Rew:1683.0,1454.0')] ).

cnf(1691,plain,
    equal(p(index_9),index_99),
    inference(rew,[status(thm),theory(equality)],[1683,1456]),
    [iquote('0:Rew:1683.0,1456.0')] ).

cnf(1693,plain,
    equal(index_87,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1465]),
    [iquote('0:Rew:1683.0,1465.0')] ).

cnf(1696,plain,
    equal(index_123,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1512]),
    [iquote('0:Rew:1683.0,1512.0')] ).

cnf(1698,plain,
    equal(index_63,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1521]),
    [iquote('0:Rew:1683.0,1521.0')] ).

cnf(1702,plain,
    equal(index_147,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1566]),
    [iquote('0:Rew:1683.0,1566.0')] ).

cnf(1704,plain,
    equal(index_45,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1575]),
    [iquote('0:Rew:1683.0,1575.0')] ).

cnf(1708,plain,
    equal(index_165,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1620]),
    [iquote('0:Rew:1683.0,1620.0')] ).

cnf(1710,plain,
    equal(index_27,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1629]),
    [iquote('0:Rew:1683.0,1629.0')] ).

cnf(1714,plain,
    equal(index_183,index_9),
    inference(rew,[status(thm),theory(equality)],[1683,1674]),
    [iquote('0:Rew:1683.0,1674.0')] ).

cnf(1717,plain,
    equal(index_189,index_111),
    inference(rew,[status(thm),theory(equality)],[1669,1678,1683]),
    [iquote('0:Rew:1669.0,1678.0,1683.0,1678.0')] ).

cnf(1721,plain,
    equal(s(index_111),index_195),
    inference(rew,[status(thm),theory(equality)],[1717,1352]),
    [iquote('0:Rew:1717.0,1352.0')] ).

cnf(1724,plain,
    equal(p(index_111),index_9),
    inference(rew,[status(thm),theory(equality)],[1717,1679,1683]),
    [iquote('0:Rew:1717.0,1679.0,1683.0,1679.0')] ).

cnf(1726,plain,
    equal(index_273,index_99),
    inference(rew,[status(thm),theory(equality)],[1264,1691]),
    [iquote('0:Rew:1264.0,1691.0')] ).

cnf(1731,plain,
    equal(p(index_9),index_99),
    inference(rew,[status(thm),theory(equality)],[1726,1264]),
    [iquote('0:Rew:1726.0,1264.0')] ).

cnf(1734,plain,
    equal(p(index_99),index_267),
    inference(rew,[status(thm),theory(equality)],[1726,1270]),
    [iquote('0:Rew:1726.0,1270.0')] ).

cnf(1736,plain,
    equal(index_195,index_99),
    inference(rew,[status(thm),theory(equality)],[1500,1721]),
    [iquote('0:Rew:1500.0,1721.0')] ).

cnf(1740,plain,
    equal(s(index_99),index_207),
    inference(rew,[status(thm),theory(equality)],[1736,1346]),
    [iquote('0:Rew:1736.0,1346.0')] ).

cnf(1745,plain,
    equal(index_267,index_111),
    inference(rew,[status(thm),theory(equality)],[1480,1734]),
    [iquote('0:Rew:1480.0,1734.0')] ).

cnf(1750,plain,
    equal(p(index_111),index_261),
    inference(rew,[status(thm),theory(equality)],[1745,1276]),
    [iquote('0:Rew:1745.0,1276.0')] ).

cnf(1754,plain,
    equal(index_207,index_9),
    inference(rew,[status(thm),theory(equality)],[1690,1740]),
    [iquote('0:Rew:1690.0,1740.0')] ).

cnf(1758,plain,
    equal(s(index_9),index_213),
    inference(rew,[status(thm),theory(equality)],[1754,1334]),
    [iquote('0:Rew:1754.0,1334.0')] ).

cnf(1763,plain,
    equal(index_261,index_9),
    inference(rew,[status(thm),theory(equality)],[1724,1750]),
    [iquote('0:Rew:1724.0,1750.0')] ).

cnf(1768,plain,
    equal(p(index_9),index_255),
    inference(rew,[status(thm),theory(equality)],[1763,1282]),
    [iquote('0:Rew:1763.0,1282.0')] ).

cnf(1772,plain,
    equal(index_213,index_111),
    inference(rew,[status(thm),theory(equality)],[1669,1758]),
    [iquote('0:Rew:1669.0,1758.0')] ).

cnf(1776,plain,
    equal(s(index_111),index_219),
    inference(rew,[status(thm),theory(equality)],[1772,1328]),
    [iquote('0:Rew:1772.0,1328.0')] ).

cnf(1781,plain,
    equal(index_255,index_99),
    inference(rew,[status(thm),theory(equality)],[1731,1768]),
    [iquote('0:Rew:1731.0,1768.0')] ).

cnf(1786,plain,
    equal(p(index_99),index_249),
    inference(rew,[status(thm),theory(equality)],[1781,1288]),
    [iquote('0:Rew:1781.0,1288.0')] ).

cnf(1790,plain,
    equal(index_219,index_99),
    inference(rew,[status(thm),theory(equality)],[1500,1776]),
    [iquote('0:Rew:1500.0,1776.0')] ).

cnf(1794,plain,
    equal(s(index_99),index_225),
    inference(rew,[status(thm),theory(equality)],[1790,1322]),
    [iquote('0:Rew:1790.0,1322.0')] ).

cnf(1799,plain,
    equal(index_249,index_111),
    inference(rew,[status(thm),theory(equality)],[1480,1786]),
    [iquote('0:Rew:1480.0,1786.0')] ).

cnf(1804,plain,
    equal(p(index_111),index_201),
    inference(rew,[status(thm),theory(equality)],[1799,1342]),
    [iquote('0:Rew:1799.0,1342.0')] ).

cnf(1808,plain,
    equal(index_225,index_9),
    inference(rew,[status(thm),theory(equality)],[1690,1794]),
    [iquote('0:Rew:1690.0,1794.0')] ).

cnf(1812,plain,
    equal(s(index_9),index_231),
    inference(rew,[status(thm),theory(equality)],[1808,1316]),
    [iquote('0:Rew:1808.0,1316.0')] ).

cnf(1817,plain,
    equal(index_201,index_9),
    inference(rew,[status(thm),theory(equality)],[1724,1804]),
    [iquote('0:Rew:1724.0,1804.0')] ).

cnf(1822,plain,
    equal(p(index_9),index_135),
    inference(rew,[status(thm),theory(equality)],[1817,1414]),
    [iquote('0:Rew:1817.0,1414.0')] ).

cnf(1826,plain,
    equal(index_231,index_111),
    inference(rew,[status(thm),theory(equality)],[1669,1812]),
    [iquote('0:Rew:1669.0,1812.0')] ).

cnf(1830,plain,
    equal(s(index_111),index_237),
    inference(rew,[status(thm),theory(equality)],[1826,1310]),
    [iquote('0:Rew:1826.0,1310.0')] ).

cnf(1835,plain,
    equal(index_135,index_99),
    inference(rew,[status(thm),theory(equality)],[1731,1822]),
    [iquote('0:Rew:1731.0,1822.0')] ).

cnf(1840,plain,
    equal(p(index_99),index_69),
    inference(rew,[status(thm),theory(equality)],[1835,1210]),
    [iquote('0:Rew:1835.0,1210.0')] ).

cnf(1844,plain,
    equal(index_237,index_99),
    inference(rew,[status(thm),theory(equality)],[1500,1830]),
    [iquote('0:Rew:1500.0,1830.0')] ).

cnf(1848,plain,
    equal(s(index_99),index_243),
    inference(rew,[status(thm),theory(equality)],[1844,1304]),
    [iquote('0:Rew:1844.0,1304.0')] ).

cnf(1854,plain,
    equal(index_69,index_111),
    inference(rew,[status(thm),theory(equality)],[1480,1840]),
    [iquote('0:Rew:1480.0,1840.0')] ).

cnf(1859,plain,
    equal(p(index_111),index_3),
    inference(rew,[status(thm),theory(equality)],[1854,1216]),
    [iquote('0:Rew:1854.0,1216.0')] ).

cnf(1863,plain,
    equal(index_243,index_9),
    inference(rew,[status(thm),theory(equality)],[1690,1848]),
    [iquote('0:Rew:1690.0,1848.0')] ).

cnf(1864,plain,
    equal(s(index_9),index_246),
    inference(rew,[status(thm),theory(equality)],[1863,166]),
    [iquote('0:Rew:1863.0,166.0')] ).

cnf(1873,plain,
    equal(index_3,index_9),
    inference(rew,[status(thm),theory(equality)],[1724,1859]),
    [iquote('0:Rew:1724.0,1859.0')] ).

cnf(1874,plain,
    equal(rselect_tail(q0),index_9),
    inference(rew,[status(thm),theory(equality)],[1873,181]),
    [iquote('0:Rew:1873.0,181.0')] ).

cnf(1878,plain,
    equal(index_246,index_111),
    inference(rew,[status(thm),theory(equality)],[1669,1864]),
    [iquote('0:Rew:1669.0,1864.0')] ).

cnf(1879,plain,
    equal(rstore_tail(queue_245,index_111),q46),
    inference(rew,[status(thm),theory(equality)],[1878,368]),
    [iquote('0:Rew:1878.0,368.0')] ).

cnf(1886,plain,
    equal(rstore_tail(queue_89,index_111),q22),
    inference(rew,[status(thm),theory(equality)],[1475,1190]),
    [iquote('0:Rew:1475.0,1190.0')] ).

cnf(1889,plain,
    equal(rstore_tail(queue_83,index_9),q21),
    inference(rew,[status(thm),theory(equality)],[1693,1197]),
    [iquote('0:Rew:1693.0,1197.0')] ).

cnf(1891,plain,
    equal(rstore_tail(queue_77,index_99),q20),
    inference(rew,[status(thm),theory(equality)],[1484,1203]),
    [iquote('0:Rew:1484.0,1203.0')] ).

cnf(1893,plain,
    equal(rstore_tail(queue_71,index_99),q2),
    inference(rew,[status(thm),theory(equality)],[1835,1209]),
    [iquote('0:Rew:1835.0,1209.0')] ).

cnf(1895,plain,
    equal(rstore_tail(queue_5,index_111),q1),
    inference(rew,[status(thm),theory(equality)],[1854,1215]),
    [iquote('0:Rew:1854.0,1215.0')] ).

cnf(1897,plain,
    equal(rstore_tail(queue_65,index_111),q19),
    inference(rew,[status(thm),theory(equality)],[1503,1221]),
    [iquote('0:Rew:1503.0,1221.0')] ).

cnf(1899,plain,
    equal(rstore_tail(queue_59,index_9),q18),
    inference(rew,[status(thm),theory(equality)],[1698,1227]),
    [iquote('0:Rew:1698.0,1227.0')] ).

cnf(1901,plain,
    equal(rstore_tail(queue_53,index_99),q17),
    inference(rew,[status(thm),theory(equality)],[1539,1233]),
    [iquote('0:Rew:1539.0,1233.0')] ).

cnf(1903,plain,
    equal(rstore_tail(queue_47,index_111),q16),
    inference(rew,[status(thm),theory(equality)],[1557,1239]),
    [iquote('0:Rew:1557.0,1239.0')] ).

cnf(1905,plain,
    equal(rstore_tail(queue_41,index_9),q15),
    inference(rew,[status(thm),theory(equality)],[1704,1245]),
    [iquote('0:Rew:1704.0,1245.0')] ).

cnf(1907,plain,
    equal(rstore_tail(queue_35,index_99),q14),
    inference(rew,[status(thm),theory(equality)],[1593,1251]),
    [iquote('0:Rew:1593.0,1251.0')] ).

cnf(1909,plain,
    equal(rstore_tail(queue_29,index_111),q13),
    inference(rew,[status(thm),theory(equality)],[1611,1257]),
    [iquote('0:Rew:1611.0,1257.0')] ).

cnf(1912,plain,
    equal(rstore_tail(queue_269,index_99),q8),
    inference(rew,[status(thm),theory(equality)],[1726,1269]),
    [iquote('0:Rew:1726.0,1269.0')] ).

cnf(1914,plain,
    equal(rstore_tail(queue_263,index_111),q7),
    inference(rew,[status(thm),theory(equality)],[1745,1275]),
    [iquote('0:Rew:1745.0,1275.0')] ).

cnf(1916,plain,
    equal(rstore_tail(queue_257,index_9),q6),
    inference(rew,[status(thm),theory(equality)],[1763,1281]),
    [iquote('0:Rew:1763.0,1281.0')] ).

cnf(1918,plain,
    equal(rstore_tail(queue_251,index_99),q5),
    inference(rew,[status(thm),theory(equality)],[1781,1287]),
    [iquote('0:Rew:1781.0,1287.0')] ).

cnf(1920,plain,
    equal(rstore_tail(queue_23,index_9),q12),
    inference(rew,[status(thm),theory(equality)],[1710,1293]),
    [iquote('0:Rew:1710.0,1293.0')] ).

cnf(1923,plain,
    equal(rstore_tail(queue_239,index_9),q45),
    inference(rew,[status(thm),theory(equality)],[1863,1305]),
    [iquote('0:Rew:1863.0,1305.0')] ).

cnf(1925,plain,
    equal(rstore_tail(queue_233,index_99),q44),
    inference(rew,[status(thm),theory(equality)],[1844,1311]),
    [iquote('0:Rew:1844.0,1311.0')] ).

cnf(1927,plain,
    equal(rstore_tail(queue_227,index_111),q43),
    inference(rew,[status(thm),theory(equality)],[1826,1317]),
    [iquote('0:Rew:1826.0,1317.0')] ).

cnf(1929,plain,
    equal(rstore_tail(queue_221,index_9),q42),
    inference(rew,[status(thm),theory(equality)],[1808,1323]),
    [iquote('0:Rew:1808.0,1323.0')] ).

cnf(1931,plain,
    equal(rstore_tail(queue_215,index_99),q41),
    inference(rew,[status(thm),theory(equality)],[1790,1329]),
    [iquote('0:Rew:1790.0,1329.0')] ).

cnf(1933,plain,
    equal(rstore_tail(queue_209,index_111),q40),
    inference(rew,[status(thm),theory(equality)],[1772,1335]),
    [iquote('0:Rew:1772.0,1335.0')] ).

cnf(1935,plain,
    equal(rstore_tail(queue_203,index_111),q4),
    inference(rew,[status(thm),theory(equality)],[1799,1341]),
    [iquote('0:Rew:1799.0,1341.0')] ).

cnf(1937,plain,
    equal(rstore_tail(queue_197,index_9),q39),
    inference(rew,[status(thm),theory(equality)],[1754,1347]),
    [iquote('0:Rew:1754.0,1347.0')] ).

cnf(1939,plain,
    equal(rstore_tail(queue_191,index_99),q38),
    inference(rew,[status(thm),theory(equality)],[1736,1353]),
    [iquote('0:Rew:1736.0,1353.0')] ).

cnf(1941,plain,
    equal(rstore_tail(queue_17,index_99),q11),
    inference(rew,[status(thm),theory(equality)],[1647,1359]),
    [iquote('0:Rew:1647.0,1359.0')] ).

cnf(1943,plain,
    equal(rstore_tail(queue_185,index_111),q37),
    inference(rew,[status(thm),theory(equality)],[1717,1365]),
    [iquote('0:Rew:1717.0,1365.0')] ).

cnf(1945,plain,
    equal(rstore_tail(queue_179,index_9),q36),
    inference(rew,[status(thm),theory(equality)],[1714,1371]),
    [iquote('0:Rew:1714.0,1371.0')] ).

cnf(1947,plain,
    equal(rstore_tail(queue_173,index_99),q35),
    inference(rew,[status(thm),theory(equality)],[1656,1377]),
    [iquote('0:Rew:1656.0,1377.0')] ).

cnf(1949,plain,
    equal(rstore_tail(queue_167,index_111),q34),
    inference(rew,[status(thm),theory(equality)],[1638,1383]),
    [iquote('0:Rew:1638.0,1383.0')] ).

cnf(1951,plain,
    equal(rstore_tail(queue_161,index_9),q33),
    inference(rew,[status(thm),theory(equality)],[1708,1389]),
    [iquote('0:Rew:1708.0,1389.0')] ).

cnf(1953,plain,
    equal(rstore_tail(queue_155,index_99),q32),
    inference(rew,[status(thm),theory(equality)],[1602,1395]),
    [iquote('0:Rew:1602.0,1395.0')] ).

cnf(1955,plain,
    equal(rstore_tail(queue_149,index_111),q31),
    inference(rew,[status(thm),theory(equality)],[1584,1401]),
    [iquote('0:Rew:1584.0,1401.0')] ).

cnf(1957,plain,
    equal(rstore_tail(queue_143,index_9),q30),
    inference(rew,[status(thm),theory(equality)],[1702,1407]),
    [iquote('0:Rew:1702.0,1407.0')] ).

cnf(1959,plain,
    equal(rstore_tail(queue_137,index_9),q3),
    inference(rew,[status(thm),theory(equality)],[1817,1413]),
    [iquote('0:Rew:1817.0,1413.0')] ).

cnf(1961,plain,
    equal(rstore_tail(queue_131,index_99),q29),
    inference(rew,[status(thm),theory(equality)],[1548,1419]),
    [iquote('0:Rew:1548.0,1419.0')] ).

cnf(1963,plain,
    equal(rstore_tail(queue_11,index_111),q10),
    inference(rew,[status(thm),theory(equality)],[1665,1425]),
    [iquote('0:Rew:1665.0,1425.0')] ).

cnf(1965,plain,
    equal(rstore_tail(queue_125,index_111),q28),
    inference(rew,[status(thm),theory(equality)],[1530,1431]),
    [iquote('0:Rew:1530.0,1431.0')] ).

cnf(1967,plain,
    equal(rstore_tail(queue_119,index_9),q27),
    inference(rew,[status(thm),theory(equality)],[1696,1437]),
    [iquote('0:Rew:1696.0,1437.0')] ).

cnf(1969,plain,
    equal(rstore_tail(queue_113,index_99),q26),
    inference(rew,[status(thm),theory(equality)],[1493,1443]),
    [iquote('0:Rew:1493.0,1443.0')] ).

cnf(1972,plain,
    equal(rstore_tail(queue_101,index_9),q24),
    inference(rew,[status(thm),theory(equality)],[1683,1455]),
    [iquote('0:Rew:1683.0,1455.0')] ).

cnf(1974,plain,
    equal(select(earray_278,index_9),elem_283),
    inference(rew,[status(thm),theory(equality)],[1863,1460]),
    [iquote('0:Rew:1863.0,1460.0')] ).

cnf(2279,plain,
    equal(rselect_head(q0),index_0),
    inference(spr,[status(thm),theory(equality)],[395,4]),
    [iquote('0:SpR:395.0,4.0')] ).

cnf(2351,plain,
    equal(rselect_tail(q),rselect_tail(q0)),
    inference(spr,[status(thm),theory(equality)],[395,11]),
    [iquote('0:SpR:395.0,11.0')] ).

cnf(2352,plain,
    equal(index_0,index_9),
    inference(rew,[status(thm),theory(equality)],[112,2351,1874]),
    [iquote('0:Rew:112.0,2351.0,1874.0,2351.0')] ).

cnf(2355,plain,
    equal(rselect_head(q0),index_9),
    inference(rew,[status(thm),theory(equality)],[2352,2279]),
    [iquote('0:Rew:2352.0,2279.0')] ).

cnf(2471,plain,
    equal(rselect_head(queue_95),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[299,9]),
    [iquote('0:SpR:299.0,9.0')] ).

cnf(2472,plain,
    equal(rselect_head(queue_89),rselect_head(q21)),
    inference(spr,[status(thm),theory(equality)],[297,9]),
    [iquote('0:SpR:297.0,9.0')] ).

cnf(2473,plain,
    equal(rselect_head(queue_83),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[295,9]),
    [iquote('0:SpR:295.0,9.0')] ).

cnf(2474,plain,
    equal(rselect_head(queue_77),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[293,9]),
    [iquote('0:SpR:293.0,9.0')] ).

cnf(2475,plain,
    equal(rselect_head(queue_71),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[291,9]),
    [iquote('0:SpR:291.0,9.0')] ).

cnf(2476,plain,
    equal(rselect_head(queue_65),rselect_head(q18)),
    inference(spr,[status(thm),theory(equality)],[288,9]),
    [iquote('0:SpR:288.0,9.0')] ).

cnf(2477,plain,
    equal(rselect_head(queue_59),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[286,9]),
    [iquote('0:SpR:286.0,9.0')] ).

cnf(2478,plain,
    equal(rselect_head(queue_53),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[284,9]),
    [iquote('0:SpR:284.0,9.0')] ).

cnf(2479,plain,
    equal(rselect_head(queue_5),rselect_head(q0)),
    inference(spr,[status(thm),theory(equality)],[283,9]),
    [iquote('0:SpR:283.0,9.0')] ).

cnf(2480,plain,
    equal(rselect_head(queue_47),rselect_head(q15)),
    inference(spr,[status(thm),theory(equality)],[281,9]),
    [iquote('0:SpR:281.0,9.0')] ).

cnf(2481,plain,
    equal(rselect_head(queue_41),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[279,9]),
    [iquote('0:SpR:279.0,9.0')] ).

cnf(2482,plain,
    equal(rselect_head(queue_35),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[277,9]),
    [iquote('0:SpR:277.0,9.0')] ).

cnf(2483,plain,
    equal(rselect_head(queue_29),rselect_head(q12)),
    inference(spr,[status(thm),theory(equality)],[275,9]),
    [iquote('0:SpR:275.0,9.0')] ).

cnf(2484,plain,
    equal(rselect_head(queue_275),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[273,9]),
    [iquote('0:SpR:273.0,9.0')] ).

cnf(2485,plain,
    equal(rselect_head(queue_269),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[271,9]),
    [iquote('0:SpR:271.0,9.0')] ).

cnf(2486,plain,
    equal(rselect_head(queue_263),rselect_head(q6)),
    inference(spr,[status(thm),theory(equality)],[269,9]),
    [iquote('0:SpR:269.0,9.0')] ).

cnf(2487,plain,
    equal(rselect_head(queue_257),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[267,9]),
    [iquote('0:SpR:267.0,9.0')] ).

cnf(2488,plain,
    equal(rselect_head(queue_251),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[265,9]),
    [iquote('0:SpR:265.0,9.0')] ).

cnf(2489,plain,
    equal(rselect_head(queue_245),rselect_head(q45)),
    inference(spr,[status(thm),theory(equality)],[262,9]),
    [iquote('0:SpR:262.0,9.0')] ).

cnf(2490,plain,
    equal(rselect_head(queue_239),rselect_head(q44)),
    inference(spr,[status(thm),theory(equality)],[260,9]),
    [iquote('0:SpR:260.0,9.0')] ).

cnf(2491,plain,
    equal(rselect_head(queue_233),rselect_head(q43)),
    inference(spr,[status(thm),theory(equality)],[258,9]),
    [iquote('0:SpR:258.0,9.0')] ).

cnf(2492,plain,
    equal(rselect_head(queue_23),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[257,9]),
    [iquote('0:SpR:257.0,9.0')] ).

cnf(2493,plain,
    equal(rselect_head(queue_227),rselect_head(q42)),
    inference(spr,[status(thm),theory(equality)],[255,9]),
    [iquote('0:SpR:255.0,9.0')] ).

cnf(2494,plain,
    equal(rselect_head(queue_221),rselect_head(q41)),
    inference(spr,[status(thm),theory(equality)],[253,9]),
    [iquote('0:SpR:253.0,9.0')] ).

cnf(2495,plain,
    equal(rselect_head(queue_215),rselect_head(q40)),
    inference(spr,[status(thm),theory(equality)],[251,9]),
    [iquote('0:SpR:251.0,9.0')] ).

cnf(2496,plain,
    equal(rselect_head(queue_209),rselect_head(q39)),
    inference(spr,[status(thm),theory(equality)],[249,9]),
    [iquote('0:SpR:249.0,9.0')] ).

cnf(2497,plain,
    equal(rselect_head(queue_203),rselect_head(q3)),
    inference(spr,[status(thm),theory(equality)],[247,9]),
    [iquote('0:SpR:247.0,9.0')] ).

cnf(2498,plain,
    equal(rselect_head(queue_197),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[245,9]),
    [iquote('0:SpR:245.0,9.0')] ).

cnf(2499,plain,
    equal(rselect_head(queue_191),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[243,9]),
    [iquote('0:SpR:243.0,9.0')] ).

cnf(2500,plain,
    equal(rselect_head(queue_185),rselect_head(q36)),
    inference(spr,[status(thm),theory(equality)],[240,9]),
    [iquote('0:SpR:240.0,9.0')] ).

cnf(2501,plain,
    equal(rselect_head(queue_179),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[238,9]),
    [iquote('0:SpR:238.0,9.0')] ).

cnf(2502,plain,
    equal(rselect_head(queue_173),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[236,9]),
    [iquote('0:SpR:236.0,9.0')] ).

cnf(2503,plain,
    equal(rselect_head(queue_17),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[235,9]),
    [iquote('0:SpR:235.0,9.0')] ).

cnf(2504,plain,
    equal(rselect_head(queue_167),rselect_head(q33)),
    inference(spr,[status(thm),theory(equality)],[233,9]),
    [iquote('0:SpR:233.0,9.0')] ).

cnf(2505,plain,
    equal(rselect_head(queue_161),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[231,9]),
    [iquote('0:SpR:231.0,9.0')] ).

cnf(2506,plain,
    equal(rselect_head(queue_155),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[229,9]),
    [iquote('0:SpR:229.0,9.0')] ).

cnf(2507,plain,
    equal(rselect_head(queue_149),rselect_head(q30)),
    inference(spr,[status(thm),theory(equality)],[227,9]),
    [iquote('0:SpR:227.0,9.0')] ).

cnf(2508,plain,
    equal(rselect_head(queue_143),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[225,9]),
    [iquote('0:SpR:225.0,9.0')] ).

cnf(2509,plain,
    equal(rselect_head(queue_137),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[223,9]),
    [iquote('0:SpR:223.0,9.0')] ).

cnf(2510,plain,
    equal(rselect_head(queue_131),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[221,9]),
    [iquote('0:SpR:221.0,9.0')] ).

cnf(2511,plain,
    equal(rselect_head(queue_125),rselect_head(q27)),
    inference(spr,[status(thm),theory(equality)],[218,9]),
    [iquote('0:SpR:218.0,9.0')] ).

cnf(2512,plain,
    equal(rselect_head(queue_119),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[216,9]),
    [iquote('0:SpR:216.0,9.0')] ).

cnf(2513,plain,
    equal(rselect_head(queue_113),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[214,9]),
    [iquote('0:SpR:214.0,9.0')] ).

cnf(2514,plain,
    equal(rselect_head(queue_11),rselect_head(q9)),
    inference(spr,[status(thm),theory(equality)],[213,9]),
    [iquote('0:SpR:213.0,9.0')] ).

cnf(2515,plain,
    equal(rselect_head(queue_107),rselect_head(q24)),
    inference(spr,[status(thm),theory(equality)],[211,9]),
    [iquote('0:SpR:211.0,9.0')] ).

cnf(2516,plain,
    equal(rselect_head(queue_101),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[209,9]),
    [iquote('0:SpR:209.0,9.0')] ).

cnf(2517,plain,
    equal(rselect_head(queue_5),index_9),
    inference(rew,[status(thm),theory(equality)],[2355,2479]),
    [iquote('0:Rew:2355.0,2479.0')] ).

cnf(2523,plain,
    equal(rselect_head(queue_95),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[1183,8]),
    [iquote('0:SpR:1183.0,8.0')] ).

cnf(2524,plain,
    equal(rselect_head(queue_77),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[1891,8]),
    [iquote('0:SpR:1891.0,8.0')] ).

cnf(2525,plain,
    equal(rselect_head(queue_71),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[1893,8]),
    [iquote('0:SpR:1893.0,8.0')] ).

cnf(2526,plain,
    equal(rselect_head(queue_53),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[1901,8]),
    [iquote('0:SpR:1901.0,8.0')] ).

cnf(2527,plain,
    equal(rselect_head(queue_35),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[1907,8]),
    [iquote('0:SpR:1907.0,8.0')] ).

cnf(2528,plain,
    equal(rselect_head(queue_269),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[1912,8]),
    [iquote('0:SpR:1912.0,8.0')] ).

cnf(2529,plain,
    equal(rselect_head(queue_251),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[1918,8]),
    [iquote('0:SpR:1918.0,8.0')] ).

cnf(2530,plain,
    equal(rselect_head(queue_233),rselect_head(q44)),
    inference(spr,[status(thm),theory(equality)],[1925,8]),
    [iquote('0:SpR:1925.0,8.0')] ).

cnf(2531,plain,
    equal(rselect_head(queue_215),rselect_head(q41)),
    inference(spr,[status(thm),theory(equality)],[1931,8]),
    [iquote('0:SpR:1931.0,8.0')] ).

cnf(2532,plain,
    equal(rselect_head(queue_191),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[1939,8]),
    [iquote('0:SpR:1939.0,8.0')] ).

cnf(2533,plain,
    equal(rselect_head(queue_17),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[1941,8]),
    [iquote('0:SpR:1941.0,8.0')] ).

cnf(2534,plain,
    equal(rselect_head(queue_173),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[1947,8]),
    [iquote('0:SpR:1947.0,8.0')] ).

cnf(2535,plain,
    equal(rselect_head(queue_155),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[1953,8]),
    [iquote('0:SpR:1953.0,8.0')] ).

cnf(2536,plain,
    equal(rselect_head(queue_131),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[1961,8]),
    [iquote('0:SpR:1961.0,8.0')] ).

cnf(2537,plain,
    equal(rselect_head(queue_113),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[1969,8]),
    [iquote('0:SpR:1969.0,8.0')] ).

cnf(2538,plain,
    equal(rselect_head(queue_89),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[1886,8]),
    [iquote('0:SpR:1886.0,8.0')] ).

cnf(2539,plain,
    equal(rselect_head(queue_5),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[1895,8]),
    [iquote('0:SpR:1895.0,8.0')] ).

cnf(2540,plain,
    equal(rselect_head(queue_65),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[1897,8]),
    [iquote('0:SpR:1897.0,8.0')] ).

cnf(2541,plain,
    equal(rselect_head(queue_47),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[1903,8]),
    [iquote('0:SpR:1903.0,8.0')] ).

cnf(2542,plain,
    equal(rselect_head(queue_29),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[1909,8]),
    [iquote('0:SpR:1909.0,8.0')] ).

cnf(2543,plain,
    equal(rselect_head(queue_263),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[1914,8]),
    [iquote('0:SpR:1914.0,8.0')] ).

cnf(2544,plain,
    equal(rselect_head(queue_227),rselect_head(q43)),
    inference(spr,[status(thm),theory(equality)],[1927,8]),
    [iquote('0:SpR:1927.0,8.0')] ).

cnf(2545,plain,
    equal(rselect_head(queue_209),rselect_head(q40)),
    inference(spr,[status(thm),theory(equality)],[1933,8]),
    [iquote('0:SpR:1933.0,8.0')] ).

cnf(2546,plain,
    equal(rselect_head(queue_203),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[1935,8]),
    [iquote('0:SpR:1935.0,8.0')] ).

cnf(2547,plain,
    equal(rselect_head(queue_185),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[1943,8]),
    [iquote('0:SpR:1943.0,8.0')] ).

cnf(2548,plain,
    equal(rselect_head(queue_167),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[1949,8]),
    [iquote('0:SpR:1949.0,8.0')] ).

cnf(2549,plain,
    equal(rselect_head(queue_149),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[1955,8]),
    [iquote('0:SpR:1955.0,8.0')] ).

cnf(2550,plain,
    equal(rselect_head(queue_11),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[1963,8]),
    [iquote('0:SpR:1963.0,8.0')] ).

cnf(2551,plain,
    equal(rselect_head(queue_125),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[1965,8]),
    [iquote('0:SpR:1965.0,8.0')] ).

cnf(2552,plain,
    equal(rselect_head(queue_107),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[1449,8]),
    [iquote('0:SpR:1449.0,8.0')] ).

cnf(2553,plain,
    equal(rselect_head(queue_245),rselect_head(q46)),
    inference(spr,[status(thm),theory(equality)],[1879,8]),
    [iquote('0:SpR:1879.0,8.0')] ).

cnf(2554,plain,
    equal(rselect_head(queue_83),rselect_head(q21)),
    inference(spr,[status(thm),theory(equality)],[1889,8]),
    [iquote('0:SpR:1889.0,8.0')] ).

cnf(2555,plain,
    equal(rselect_head(queue_59),rselect_head(q18)),
    inference(spr,[status(thm),theory(equality)],[1899,8]),
    [iquote('0:SpR:1899.0,8.0')] ).

cnf(2556,plain,
    equal(rselect_head(queue_41),rselect_head(q15)),
    inference(spr,[status(thm),theory(equality)],[1905,8]),
    [iquote('0:SpR:1905.0,8.0')] ).

cnf(2557,plain,
    equal(rselect_head(queue_275),rselect_head(q9)),
    inference(spr,[status(thm),theory(equality)],[1263,8]),
    [iquote('0:SpR:1263.0,8.0')] ).

cnf(2558,plain,
    equal(rselect_head(queue_257),rselect_head(q6)),
    inference(spr,[status(thm),theory(equality)],[1916,8]),
    [iquote('0:SpR:1916.0,8.0')] ).

cnf(2559,plain,
    equal(rselect_head(queue_23),rselect_head(q12)),
    inference(spr,[status(thm),theory(equality)],[1920,8]),
    [iquote('0:SpR:1920.0,8.0')] ).

cnf(2560,plain,
    equal(rselect_head(queue_239),rselect_head(q45)),
    inference(spr,[status(thm),theory(equality)],[1923,8]),
    [iquote('0:SpR:1923.0,8.0')] ).

cnf(2561,plain,
    equal(rselect_head(queue_221),rselect_head(q42)),
    inference(spr,[status(thm),theory(equality)],[1929,8]),
    [iquote('0:SpR:1929.0,8.0')] ).

cnf(2562,plain,
    equal(rselect_head(queue_197),rselect_head(q39)),
    inference(spr,[status(thm),theory(equality)],[1937,8]),
    [iquote('0:SpR:1937.0,8.0')] ).

cnf(2563,plain,
    equal(rselect_head(queue_179),rselect_head(q36)),
    inference(spr,[status(thm),theory(equality)],[1945,8]),
    [iquote('0:SpR:1945.0,8.0')] ).

cnf(2564,plain,
    equal(rselect_head(queue_161),rselect_head(q33)),
    inference(spr,[status(thm),theory(equality)],[1951,8]),
    [iquote('0:SpR:1951.0,8.0')] ).

cnf(2565,plain,
    equal(rselect_head(queue_143),rselect_head(q30)),
    inference(spr,[status(thm),theory(equality)],[1957,8]),
    [iquote('0:SpR:1957.0,8.0')] ).

cnf(2566,plain,
    equal(rselect_head(queue_137),rselect_head(q3)),
    inference(spr,[status(thm),theory(equality)],[1959,8]),
    [iquote('0:SpR:1959.0,8.0')] ).

cnf(2567,plain,
    equal(rselect_head(queue_119),rselect_head(q27)),
    inference(spr,[status(thm),theory(equality)],[1967,8]),
    [iquote('0:SpR:1967.0,8.0')] ).

cnf(2568,plain,
    equal(rselect_head(queue_101),rselect_head(q24)),
    inference(spr,[status(thm),theory(equality)],[1972,8]),
    [iquote('0:SpR:1972.0,8.0')] ).

cnf(2569,plain,
    equal(rselect_head(q23),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[2471,2523]),
    [iquote('0:Rew:2471.0,2523.0')] ).

cnf(2570,plain,
    equal(rselect_head(queue_101),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[2569,2516]),
    [iquote('0:Rew:2569.0,2516.0')] ).

cnf(2571,plain,
    equal(rselect_head(q20),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[2474,2524]),
    [iquote('0:Rew:2474.0,2524.0')] ).

cnf(2572,plain,
    equal(rselect_head(queue_83),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[2571,2473]),
    [iquote('0:Rew:2571.0,2473.0')] ).

cnf(2573,plain,
    equal(rselect_head(q1),rselect_head(q2)),
    inference(rew,[status(thm),theory(equality)],[2475,2525]),
    [iquote('0:Rew:2475.0,2525.0')] ).

cnf(2575,plain,
    equal(rselect_head(q17),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[2478,2526]),
    [iquote('0:Rew:2478.0,2526.0')] ).

cnf(2576,plain,
    equal(rselect_head(queue_59),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[2575,2477]),
    [iquote('0:Rew:2575.0,2477.0')] ).

cnf(2577,plain,
    equal(rselect_head(q14),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[2482,2527]),
    [iquote('0:Rew:2482.0,2527.0')] ).

cnf(2578,plain,
    equal(rselect_head(queue_41),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[2577,2481]),
    [iquote('0:Rew:2577.0,2481.0')] ).

cnf(2579,plain,
    equal(rselect_head(q8),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[2485,2528]),
    [iquote('0:Rew:2485.0,2528.0')] ).

cnf(2580,plain,
    equal(rselect_head(queue_275),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[2579,2484]),
    [iquote('0:Rew:2579.0,2484.0')] ).

cnf(2581,plain,
    equal(rselect_head(q5),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[2488,2529]),
    [iquote('0:Rew:2488.0,2529.0')] ).

cnf(2582,plain,
    equal(rselect_head(queue_257),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[2581,2487]),
    [iquote('0:Rew:2581.0,2487.0')] ).

cnf(2583,plain,
    equal(rselect_head(q44),rselect_head(q43)),
    inference(rew,[status(thm),theory(equality)],[2491,2530]),
    [iquote('0:Rew:2491.0,2530.0')] ).

cnf(2584,plain,
    equal(rselect_head(queue_239),rselect_head(q43)),
    inference(rew,[status(thm),theory(equality)],[2583,2490]),
    [iquote('0:Rew:2583.0,2490.0')] ).

cnf(2585,plain,
    equal(rselect_head(q41),rselect_head(q40)),
    inference(rew,[status(thm),theory(equality)],[2495,2531]),
    [iquote('0:Rew:2495.0,2531.0')] ).

cnf(2586,plain,
    equal(rselect_head(queue_221),rselect_head(q40)),
    inference(rew,[status(thm),theory(equality)],[2585,2494]),
    [iquote('0:Rew:2585.0,2494.0')] ).

cnf(2587,plain,
    equal(rselect_head(q38),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[2499,2532]),
    [iquote('0:Rew:2499.0,2532.0')] ).

cnf(2588,plain,
    equal(rselect_head(queue_197),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[2587,2498]),
    [iquote('0:Rew:2587.0,2498.0')] ).

cnf(2589,plain,
    equal(rselect_head(q11),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2503,2533]),
    [iquote('0:Rew:2503.0,2533.0')] ).

cnf(2590,plain,
    equal(rselect_head(queue_23),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2589,2492]),
    [iquote('0:Rew:2589.0,2492.0')] ).

cnf(2591,plain,
    equal(rselect_head(q35),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[2502,2534]),
    [iquote('0:Rew:2502.0,2534.0')] ).

cnf(2592,plain,
    equal(rselect_head(queue_179),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[2591,2501]),
    [iquote('0:Rew:2591.0,2501.0')] ).

cnf(2593,plain,
    equal(rselect_head(q32),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[2506,2535]),
    [iquote('0:Rew:2506.0,2535.0')] ).

cnf(2594,plain,
    equal(rselect_head(queue_161),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[2593,2505]),
    [iquote('0:Rew:2593.0,2505.0')] ).

cnf(2595,plain,
    equal(rselect_head(q29),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[2510,2536]),
    [iquote('0:Rew:2510.0,2536.0')] ).

cnf(2596,plain,
    equal(rselect_head(queue_143),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[2595,2508]),
    [iquote('0:Rew:2595.0,2508.0')] ).

cnf(2597,plain,
    equal(rselect_head(q26),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[2513,2537]),
    [iquote('0:Rew:2513.0,2537.0')] ).

cnf(2598,plain,
    equal(rselect_head(queue_119),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[2597,2512]),
    [iquote('0:Rew:2597.0,2512.0')] ).

cnf(2599,plain,
    equal(rselect_head(q22),rselect_head(q21)),
    inference(rew,[status(thm),theory(equality)],[2472,2538]),
    [iquote('0:Rew:2472.0,2538.0')] ).

cnf(2602,plain,
    equal(rselect_head(q2),index_9),
    inference(rew,[status(thm),theory(equality)],[2517,2539,2573]),
    [iquote('0:Rew:2517.0,2539.0,2573.0,2539.0')] ).

cnf(2603,plain,
    equal(rselect_head(queue_137),index_9),
    inference(rew,[status(thm),theory(equality)],[2602,2509]),
    [iquote('0:Rew:2602.0,2509.0')] ).

cnf(2605,plain,
    equal(rselect_head(q19),rselect_head(q18)),
    inference(rew,[status(thm),theory(equality)],[2476,2540]),
    [iquote('0:Rew:2476.0,2540.0')] ).

cnf(2608,plain,
    equal(rselect_head(q16),rselect_head(q15)),
    inference(rew,[status(thm),theory(equality)],[2480,2541]),
    [iquote('0:Rew:2480.0,2541.0')] ).

cnf(2611,plain,
    equal(rselect_head(q13),rselect_head(q12)),
    inference(rew,[status(thm),theory(equality)],[2483,2542]),
    [iquote('0:Rew:2483.0,2542.0')] ).

cnf(2614,plain,
    equal(rselect_head(q7),rselect_head(q6)),
    inference(rew,[status(thm),theory(equality)],[2486,2543]),
    [iquote('0:Rew:2486.0,2543.0')] ).

cnf(2617,plain,
    equal(rselect_head(q43),rselect_head(q42)),
    inference(rew,[status(thm),theory(equality)],[2493,2544]),
    [iquote('0:Rew:2493.0,2544.0')] ).

cnf(2620,plain,
    equal(rselect_head(q40),rselect_head(q39)),
    inference(rew,[status(thm),theory(equality)],[2496,2545]),
    [iquote('0:Rew:2496.0,2545.0')] ).

cnf(2623,plain,
    equal(rselect_head(q4),rselect_head(q3)),
    inference(rew,[status(thm),theory(equality)],[2497,2546]),
    [iquote('0:Rew:2497.0,2546.0')] ).

cnf(2626,plain,
    equal(rselect_head(q37),rselect_head(q36)),
    inference(rew,[status(thm),theory(equality)],[2500,2547]),
    [iquote('0:Rew:2500.0,2547.0')] ).

cnf(2629,plain,
    equal(rselect_head(q34),rselect_head(q33)),
    inference(rew,[status(thm),theory(equality)],[2504,2548]),
    [iquote('0:Rew:2504.0,2548.0')] ).

cnf(2632,plain,
    equal(rselect_head(q31),rselect_head(q30)),
    inference(rew,[status(thm),theory(equality)],[2507,2549]),
    [iquote('0:Rew:2507.0,2549.0')] ).

cnf(2635,plain,
    equal(rselect_head(q9),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2514,2550]),
    [iquote('0:Rew:2514.0,2550.0')] ).

cnf(2637,plain,
    equal(rselect_head(q28),rselect_head(q27)),
    inference(rew,[status(thm),theory(equality)],[2511,2551]),
    [iquote('0:Rew:2511.0,2551.0')] ).

cnf(2640,plain,
    equal(rselect_head(q25),rselect_head(q24)),
    inference(rew,[status(thm),theory(equality)],[2515,2552]),
    [iquote('0:Rew:2515.0,2552.0')] ).

cnf(2643,plain,
    equal(rselect_head(queue_245),index_279),
    inference(rew,[status(thm),theory(equality)],[178,2553]),
    [iquote('0:Rew:178.0,2553.0')] ).

cnf(2644,plain,
    equal(rselect_head(q45),index_279),
    inference(rew,[status(thm),theory(equality)],[2489,2643]),
    [iquote('0:Rew:2489.0,2643.0')] ).

cnf(2646,plain,
    equal(rselect_head(queue_275),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2635,2557]),
    [iquote('0:Rew:2635.0,2557.0')] ).

cnf(2647,plain,
    equal(rselect_head(queue_239),index_279),
    inference(rew,[status(thm),theory(equality)],[2644,2560]),
    [iquote('0:Rew:2644.0,2560.0')] ).

cnf(2648,plain,
    equal(rselect_head(q3),index_9),
    inference(rew,[status(thm),theory(equality)],[2603,2566]),
    [iquote('0:Rew:2603.0,2566.0')] ).

cnf(2650,plain,
    equal(rselect_head(q4),index_9),
    inference(rew,[status(thm),theory(equality)],[2648,2623]),
    [iquote('0:Rew:2648.0,2623.0')] ).

cnf(2651,plain,
    equal(rselect_head(q21),rselect_head(q24)),
    inference(rew,[status(thm),theory(equality)],[2568,2570,2599]),
    [iquote('0:Rew:2568.0,2570.0,2599.0,2570.0')] ).

cnf(2654,plain,
    equal(rselect_head(queue_83),rselect_head(q24)),
    inference(rew,[status(thm),theory(equality)],[2651,2554]),
    [iquote('0:Rew:2651.0,2554.0')] ).

cnf(2655,plain,
    equal(rselect_head(queue_83),rselect_head(q18)),
    inference(rew,[status(thm),theory(equality)],[2605,2572]),
    [iquote('0:Rew:2605.0,2572.0')] ).

cnf(2657,plain,
    equal(rselect_head(q18),rselect_head(q15)),
    inference(rew,[status(thm),theory(equality)],[2555,2576,2608]),
    [iquote('0:Rew:2555.0,2576.0,2608.0,2576.0')] ).

cnf(2661,plain,
    equal(rselect_head(queue_83),rselect_head(q15)),
    inference(rew,[status(thm),theory(equality)],[2657,2655]),
    [iquote('0:Rew:2657.0,2655.0')] ).

cnf(2662,plain,
    equal(rselect_head(q15),rselect_head(q12)),
    inference(rew,[status(thm),theory(equality)],[2556,2578,2611]),
    [iquote('0:Rew:2556.0,2578.0,2611.0,2578.0')] ).

cnf(2667,plain,
    equal(rselect_head(q6),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2646,2580,2614]),
    [iquote('0:Rew:2646.0,2580.0,2614.0,2580.0')] ).

cnf(2670,plain,
    equal(rselect_head(queue_257),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2667,2558]),
    [iquote('0:Rew:2667.0,2558.0')] ).

cnf(2671,plain,
    equal(rselect_head(queue_257),index_9),
    inference(rew,[status(thm),theory(equality)],[2650,2582]),
    [iquote('0:Rew:2650.0,2582.0')] ).

cnf(2672,plain,
    equal(rselect_head(q42),index_279),
    inference(rew,[status(thm),theory(equality)],[2647,2584,2617]),
    [iquote('0:Rew:2647.0,2584.0,2617.0,2584.0')] ).

cnf(2675,plain,
    equal(rselect_head(queue_221),index_279),
    inference(rew,[status(thm),theory(equality)],[2672,2561]),
    [iquote('0:Rew:2672.0,2561.0')] ).

cnf(2676,plain,
    equal(rselect_head(q39),index_279),
    inference(rew,[status(thm),theory(equality)],[2675,2586,2620]),
    [iquote('0:Rew:2675.0,2586.0,2620.0,2586.0')] ).

cnf(2679,plain,
    equal(rselect_head(queue_197),index_279),
    inference(rew,[status(thm),theory(equality)],[2676,2562]),
    [iquote('0:Rew:2676.0,2562.0')] ).

cnf(2680,plain,
    equal(rselect_head(q36),index_279),
    inference(rew,[status(thm),theory(equality)],[2679,2588,2626]),
    [iquote('0:Rew:2679.0,2588.0,2626.0,2588.0')] ).

cnf(2683,plain,
    equal(rselect_head(queue_179),index_279),
    inference(rew,[status(thm),theory(equality)],[2680,2563]),
    [iquote('0:Rew:2680.0,2563.0')] ).

cnf(2684,plain,
    equal(rselect_head(q12),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2559,2590]),
    [iquote('0:Rew:2559.0,2590.0')] ).

cnf(2688,plain,
    equal(rselect_head(q15),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2684,2662]),
    [iquote('0:Rew:2684.0,2662.0')] ).

cnf(2689,plain,
    equal(rselect_head(q33),index_279),
    inference(rew,[status(thm),theory(equality)],[2683,2592,2629]),
    [iquote('0:Rew:2683.0,2592.0,2629.0,2592.0')] ).

cnf(2692,plain,
    equal(rselect_head(queue_161),index_279),
    inference(rew,[status(thm),theory(equality)],[2689,2564]),
    [iquote('0:Rew:2689.0,2564.0')] ).

cnf(2693,plain,
    equal(rselect_head(q30),index_279),
    inference(rew,[status(thm),theory(equality)],[2692,2594,2632]),
    [iquote('0:Rew:2692.0,2594.0,2632.0,2594.0')] ).

cnf(2696,plain,
    equal(rselect_head(queue_143),index_279),
    inference(rew,[status(thm),theory(equality)],[2693,2565]),
    [iquote('0:Rew:2693.0,2565.0')] ).

cnf(2697,plain,
    equal(rselect_head(q27),index_279),
    inference(rew,[status(thm),theory(equality)],[2696,2596,2637]),
    [iquote('0:Rew:2696.0,2596.0,2637.0,2596.0')] ).

cnf(2700,plain,
    equal(rselect_head(queue_119),index_279),
    inference(rew,[status(thm),theory(equality)],[2697,2567]),
    [iquote('0:Rew:2697.0,2567.0')] ).

cnf(2701,plain,
    equal(rselect_head(q24),index_279),
    inference(rew,[status(thm),theory(equality)],[2700,2598,2640]),
    [iquote('0:Rew:2700.0,2598.0,2640.0,2598.0')] ).

cnf(2730,plain,
    equal(rselect_head(queue_83),index_279),
    inference(rew,[status(thm),theory(equality)],[2701,2654]),
    [iquote('0:Rew:2701.0,2654.0')] ).

cnf(2731,plain,
    equal(rselect_head(q15),index_279),
    inference(rew,[status(thm),theory(equality)],[2730,2661]),
    [iquote('0:Rew:2730.0,2661.0')] ).

cnf(2743,plain,
    equal(rselect_head(q10),index_9),
    inference(rew,[status(thm),theory(equality)],[2671,2670]),
    [iquote('0:Rew:2671.0,2670.0')] ).

cnf(2764,plain,
    equal(index_279,index_9),
    inference(rew,[status(thm),theory(equality)],[2731,2688,2743]),
    [iquote('0:Rew:2731.0,2688.0,2743.0,2688.0')] ).

cnf(2766,plain,
    equal(select(earray_278,index_9),elem_280),
    inference(rew,[status(thm),theory(equality)],[2764,110]),
    [iquote('0:Rew:2764.0,110.0')] ).

cnf(2826,plain,
    equal(elem_283,elem_280),
    inference(rew,[status(thm),theory(equality)],[1974,2766]),
    [iquote('0:Rew:1974.0,2766.0')] ).

cnf(2827,plain,
    $false,
    inference(mrr,[status(thm)],[2826,348]),
    [iquote('0:MRR:2826.0,348.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV570-1.046 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.03/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 04:41:06 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.71/0.92  
% 0.71/0.92  SPASS V 3.9 
% 0.71/0.92  SPASS beiseite: Proof found.
% 0.71/0.92  % SZS status Theorem
% 0.71/0.92  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.71/0.92  SPASS derived 2025 clauses, backtracked 0 clauses, performed 0 splits and kept 1362 clauses.
% 0.71/0.92  SPASS allocated 64852 KBytes.
% 0.71/0.92  SPASS spent	0:00:00.56 on the problem.
% 0.71/0.92  		0:00:00.04 for the input.
% 0.71/0.92  		0:00:00.00 for the FLOTTER CNF translation.
% 0.71/0.92  		0:00:00.03 for inferences.
% 0.71/0.92  		0:00:00.00 for the backtracking.
% 0.71/0.92  		0:00:00.38 for the reduction.
% 0.71/0.92  
% 0.71/0.92  
% 0.71/0.92  Here is a proof with depth 2, length 841 :
% 0.71/0.92  % SZS output start Refutation
% See solution above
% 0.71/0.92  Formulae used in the proof : a1_head a1_tail a2_head_tail a2_head_seq a2_tail_head ps circular 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 hyp142 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 hyp325 hyp326 hyp327 hyp328 hyp329 hyp330 goal
% 0.81/0.97  
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