TSTP Solution File: SWV571-1.043 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV571-1.043 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n006.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 21:44:24 EDT 2022

% Result   : Unsatisfiable 1.15s 1.35s
% Output   : Refutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  100
%            Number of leaves      :  233
% Syntax   : Number of clauses     :  807 ( 628 unt; 179 nHn; 807 RR)
%            Number of literals    : 1071 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  281 ( 281 usr; 277 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(select(store(u,v,w),v),w),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(2,axiom,
    ( equal(u,v)
    | equal(select(store(w,u,x),v),select(w,v)) ),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(3,axiom,
    ~ equal(tail,head),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(4,axiom,
    ~ equal(seq,head),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(5,axiom,
    ~ equal(seq,tail),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(6,axiom,
    equal(p(s(u)),u),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(10,axiom,
    equal(s(s(s(u))),u),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(59,axiom,
    equal(store(earray_224,index_225,e42),earray_226),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(71,axiom,
    equal(select(q43,seq),earray_260),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(98,axiom,
    equal(select(earray_260,index_261),elem_262),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(99,axiom,
    equal(select(earray_260,index_264),elem_265),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(100,axiom,
    equal(select(q,tail),index_0),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(101,axiom,
    equal(s(index_99),index_102),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(102,axiom,
    equal(select(q24,tail),index_105),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(103,axiom,
    equal(s(index_105),index_108),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(104,axiom,
    equal(select(q25,tail),index_111),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(105,axiom,
    equal(s(index_111),index_114),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(106,axiom,
    equal(select(q26,tail),index_117),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(107,axiom,
    equal(s(index_9),index_12),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(108,axiom,
    equal(s(index_117),index_120),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(109,axiom,
    equal(select(q27,tail),index_123),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(110,axiom,
    equal(s(index_123),index_126),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(111,axiom,
    equal(select(q28,tail),index_129),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(112,axiom,
    equal(s(index_129),index_132),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(113,axiom,
    equal(select(q2,tail),index_135),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(114,axiom,
    equal(s(index_135),index_138),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(115,axiom,
    equal(select(q29,tail),index_141),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(116,axiom,
    equal(s(index_141),index_144),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(117,axiom,
    equal(select(q30,tail),index_147),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(118,axiom,
    equal(select(q10,tail),index_15),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(119,axiom,
    equal(s(index_147),index_150),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(120,axiom,
    equal(select(q31,tail),index_153),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(121,axiom,
    equal(s(index_153),index_156),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(122,axiom,
    equal(select(q32,tail),index_159),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(123,axiom,
    equal(s(index_159),index_162),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(124,axiom,
    equal(select(q33,tail),index_165),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(125,axiom,
    equal(s(index_165),index_168),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(126,axiom,
    equal(select(q34,tail),index_171),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(127,axiom,
    equal(s(index_171),index_174),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(128,axiom,
    equal(select(q35,tail),index_177),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(129,axiom,
    equal(s(index_15),index_18),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(130,axiom,
    equal(s(index_177),index_180),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(131,axiom,
    equal(select(q36,tail),index_183),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(132,axiom,
    equal(s(index_183),index_186),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(133,axiom,
    equal(select(q37,tail),index_189),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(134,axiom,
    equal(s(index_189),index_192),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(135,axiom,
    equal(select(q38,tail),index_195),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(136,axiom,
    equal(s(index_195),index_198),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(137,axiom,
    equal(select(q3,tail),index_201),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(138,axiom,
    equal(s(index_201),index_204),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(139,axiom,
    equal(select(q39,tail),index_207),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(140,axiom,
    equal(select(q11,tail),index_21),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(141,axiom,
    equal(s(index_207),index_210),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(142,axiom,
    equal(select(q40,tail),index_213),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(143,axiom,
    equal(s(index_213),index_216),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(144,axiom,
    equal(select(q41,tail),index_219),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(145,axiom,
    equal(s(index_219),index_222),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(146,axiom,
    equal(select(q42,tail),index_225),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(147,axiom,
    equal(s(index_225),index_228),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(148,axiom,
    equal(select(q4,tail),index_231),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(149,axiom,
    equal(s(index_231),index_234),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(150,axiom,
    equal(select(q5,tail),index_237),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(151,axiom,
    equal(s(index_21),index_24),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(152,axiom,
    equal(s(index_237),index_240),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(153,axiom,
    equal(select(q6,tail),index_243),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(154,axiom,
    equal(s(index_243),index_246),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(155,axiom,
    equal(select(q7,tail),index_249),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(156,axiom,
    equal(s(index_249),index_252),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(157,axiom,
    equal(select(q8,tail),index_255),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(158,axiom,
    equal(s(index_255),index_258),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(159,axiom,
    equal(select(q43,head),index_261),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(160,axiom,
    equal(select(q43,tail),index_263),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(161,axiom,
    equal(s(index_264),index_263),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(162,axiom,
    equal(select(q12,tail),index_27),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(163,axiom,
    equal(select(q0,tail),index_3),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(164,axiom,
    equal(s(index_27),index_30),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(165,axiom,
    equal(select(q13,tail),index_33),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(166,axiom,
    equal(s(index_33),index_36),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(167,axiom,
    equal(select(q14,tail),index_39),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(168,axiom,
    equal(s(index_39),index_42),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(169,axiom,
    equal(select(q15,tail),index_45),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(170,axiom,
    equal(s(index_45),index_48),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(171,axiom,
    equal(select(q16,tail),index_51),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(172,axiom,
    equal(s(index_51),index_54),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(173,axiom,
    equal(select(q17,tail),index_57),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(174,axiom,
    equal(s(index_3),index_6),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(175,axiom,
    equal(s(index_57),index_60),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(176,axiom,
    equal(select(q18,tail),index_63),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(177,axiom,
    equal(s(index_63),index_66),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(178,axiom,
    equal(select(q1,tail),index_69),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(179,axiom,
    equal(s(index_69),index_72),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(180,axiom,
    equal(select(q19,tail),index_75),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(181,axiom,
    equal(s(index_75),index_78),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(182,axiom,
    equal(select(q20,tail),index_81),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(183,axiom,
    equal(s(index_81),index_84),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(184,axiom,
    equal(select(q21,tail),index_87),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(185,axiom,
    equal(select(q9,tail),index_9),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(186,axiom,
    equal(s(index_87),index_90),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(187,axiom,
    equal(select(q22,tail),index_93),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(188,axiom,
    equal(s(index_93),index_96),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(189,axiom,
    equal(select(q23,tail),index_99),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(190,axiom,
    equal(store(q,head,index_0),queue_1),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(191,axiom,
    equal(store(q23,seq,earray_100),queue_101),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(192,axiom,
    equal(store(queue_101,tail,index_102),queue_103),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(193,axiom,
    equal(store(q24,seq,earray_106),queue_107),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(194,axiom,
    equal(store(queue_107,tail,index_108),queue_109),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(195,axiom,
    equal(store(q9,seq,earray_10),queue_11),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(196,axiom,
    equal(store(q25,seq,earray_112),queue_113),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(197,axiom,
    equal(store(queue_113,tail,index_114),queue_115),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(198,axiom,
    equal(store(q26,seq,earray_118),queue_119),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(199,axiom,
    equal(store(queue_119,tail,index_120),queue_121),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(200,axiom,
    equal(store(q27,seq,earray_124),queue_125),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(201,axiom,
    equal(store(queue_125,tail,index_126),queue_127),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(202,axiom,
    equal(store(queue_11,tail,index_12),queue_13),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(203,axiom,
    equal(store(q28,seq,earray_130),queue_131),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(204,axiom,
    equal(store(queue_131,tail,index_132),queue_133),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(205,axiom,
    equal(store(q2,seq,earray_136),queue_137),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(206,axiom,
    equal(store(queue_137,tail,index_138),queue_139),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(207,axiom,
    equal(store(q29,seq,earray_142),queue_143),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(208,axiom,
    equal(store(queue_143,tail,index_144),queue_145),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(209,axiom,
    equal(store(q30,seq,earray_148),queue_149),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(210,axiom,
    equal(store(queue_149,tail,index_150),queue_151),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(211,axiom,
    equal(store(q31,seq,earray_154),queue_155),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(212,axiom,
    equal(store(queue_155,tail,index_156),queue_157),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(213,axiom,
    equal(store(q32,seq,earray_160),queue_161),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(214,axiom,
    equal(store(queue_161,tail,index_162),queue_163),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(215,axiom,
    equal(store(q33,seq,earray_166),queue_167),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(216,axiom,
    equal(store(queue_167,tail,index_168),queue_169),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(217,axiom,
    equal(store(q10,seq,earray_16),queue_17),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(218,axiom,
    equal(store(q34,seq,earray_172),queue_173),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(219,axiom,
    equal(store(queue_173,tail,index_174),queue_175),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(220,axiom,
    equal(store(q35,seq,earray_178),queue_179),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(221,axiom,
    equal(store(queue_179,tail,index_180),queue_181),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(222,axiom,
    equal(store(q36,seq,earray_184),queue_185),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(223,axiom,
    equal(store(queue_185,tail,index_186),queue_187),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(224,axiom,
    equal(store(queue_17,tail,index_18),queue_19),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(225,axiom,
    equal(store(q37,seq,earray_190),queue_191),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(226,axiom,
    equal(store(queue_191,tail,index_192),queue_193),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(227,axiom,
    equal(store(q38,seq,earray_196),queue_197),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(228,axiom,
    equal(store(queue_197,tail,index_198),queue_199),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(229,axiom,
    equal(store(q3,seq,earray_202),queue_203),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(230,axiom,
    equal(store(queue_203,tail,index_204),queue_205),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(231,axiom,
    equal(store(q39,seq,earray_208),queue_209),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(232,axiom,
    equal(store(queue_209,tail,index_210),queue_211),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(233,axiom,
    equal(store(q40,seq,earray_214),queue_215),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(234,axiom,
    equal(store(queue_215,tail,index_216),queue_217),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(235,axiom,
    equal(store(q41,seq,earray_220),queue_221),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(236,axiom,
    equal(store(queue_221,tail,index_222),queue_223),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(237,axiom,
    equal(store(q42,seq,earray_226),queue_227),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(238,axiom,
    equal(store(queue_227,tail,index_228),queue_229),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(239,axiom,
    equal(store(q11,seq,earray_22),queue_23),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(240,axiom,
    equal(store(q4,seq,earray_232),queue_233),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(241,axiom,
    equal(store(queue_233,tail,index_234),queue_235),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(242,axiom,
    equal(store(q5,seq,earray_238),queue_239),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(243,axiom,
    equal(store(queue_239,tail,index_240),queue_241),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(244,axiom,
    equal(store(q6,seq,earray_244),queue_245),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(245,axiom,
    equal(store(queue_245,tail,index_246),queue_247),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(246,axiom,
    equal(store(queue_23,tail,index_24),queue_25),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(247,axiom,
    equal(store(q7,seq,earray_250),queue_251),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(248,axiom,
    equal(store(queue_251,tail,index_252),queue_253),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(249,axiom,
    equal(store(q8,seq,earray_256),queue_257),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(250,axiom,
    equal(store(queue_257,tail,index_258),queue_259),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(251,axiom,
    equal(store(q12,seq,earray_28),queue_29),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(252,axiom,
    equal(store(queue_29,tail,index_30),queue_31),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(253,axiom,
    equal(store(q13,seq,earray_34),queue_35),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(254,axiom,
    equal(store(queue_35,tail,index_36),queue_37),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(255,axiom,
    equal(store(q14,seq,earray_40),queue_41),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(256,axiom,
    equal(store(queue_41,tail,index_42),queue_43),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(257,axiom,
    equal(store(q15,seq,earray_46),queue_47),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(258,axiom,
    equal(store(queue_47,tail,index_48),queue_49),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(259,axiom,
    equal(store(q0,seq,earray_4),queue_5),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(260,axiom,
    equal(store(q16,seq,earray_52),queue_53),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(261,axiom,
    equal(store(queue_53,tail,index_54),queue_55),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(262,axiom,
    equal(store(q17,seq,earray_58),queue_59),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(263,axiom,
    equal(store(queue_59,tail,index_60),queue_61),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(264,axiom,
    equal(store(q18,seq,earray_64),queue_65),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(265,axiom,
    equal(store(queue_65,tail,index_66),queue_67),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(266,axiom,
    equal(store(queue_5,tail,index_6),queue_7),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(267,axiom,
    equal(store(q1,seq,earray_70),queue_71),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(268,axiom,
    equal(store(queue_71,tail,index_72),queue_73),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(269,axiom,
    equal(store(q19,seq,earray_76),queue_77),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(270,axiom,
    equal(store(queue_77,tail,index_78),queue_79),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(271,axiom,
    equal(store(q20,seq,earray_82),queue_83),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(272,axiom,
    equal(store(queue_83,tail,index_84),queue_85),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(273,axiom,
    equal(store(q21,seq,earray_88),queue_89),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(274,axiom,
    equal(store(queue_89,tail,index_90),queue_91),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(275,axiom,
    equal(store(q22,seq,earray_94),queue_95),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(276,axiom,
    equal(store(queue_95,tail,index_96),queue_97),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(277,axiom,
    equal(queue_1,q0),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(278,axiom,
    equal(queue_7,q1),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(279,axiom,
    equal(queue_13,q10),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(280,axiom,
    equal(queue_19,q11),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(281,axiom,
    equal(queue_25,q12),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(282,axiom,
    equal(queue_31,q13),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(283,axiom,
    equal(queue_37,q14),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(284,axiom,
    equal(queue_43,q15),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(285,axiom,
    equal(queue_49,q16),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(286,axiom,
    equal(queue_55,q17),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(287,axiom,
    equal(queue_61,q18),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(288,axiom,
    equal(queue_67,q19),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(289,axiom,
    equal(queue_73,q2),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(290,axiom,
    equal(queue_79,q20),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(291,axiom,
    equal(queue_85,q21),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(292,axiom,
    equal(queue_91,q22),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(293,axiom,
    equal(queue_97,q23),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(294,axiom,
    equal(queue_103,q24),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(295,axiom,
    equal(queue_109,q25),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(296,axiom,
    equal(queue_115,q26),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(297,axiom,
    equal(queue_121,q27),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(298,axiom,
    equal(queue_127,q28),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(299,axiom,
    equal(queue_133,q29),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(300,axiom,
    equal(queue_139,q3),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(301,axiom,
    equal(queue_145,q30),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(302,axiom,
    equal(queue_151,q31),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(303,axiom,
    equal(queue_157,q32),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(304,axiom,
    equal(queue_163,q33),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(305,axiom,
    equal(queue_169,q34),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(306,axiom,
    equal(queue_175,q35),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(307,axiom,
    equal(queue_181,q36),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(308,axiom,
    equal(queue_187,q37),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(309,axiom,
    equal(queue_193,q38),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(310,axiom,
    equal(queue_199,q39),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(311,axiom,
    equal(queue_205,q4),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(312,axiom,
    equal(queue_211,q40),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(313,axiom,
    equal(queue_217,q41),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(314,axiom,
    equal(queue_223,q42),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(315,axiom,
    equal(queue_229,q43),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(316,axiom,
    equal(queue_235,q5),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(317,axiom,
    equal(queue_241,q6),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(318,axiom,
    equal(queue_247,q7),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(319,axiom,
    equal(queue_253,q8),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(320,axiom,
    equal(queue_259,q9),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(321,axiom,
    ~ equal(elem_265,elem_262),
    file('SWV571-1.043.p',unknown),
    [] ).

cnf(322,plain,
    equal(store(queue_95,tail,index_96),q23),
    inference(rew,[status(thm),theory(equality)],[293,276]),
    [iquote('0:Rew:293.0,276.0')] ).

cnf(323,plain,
    equal(store(queue_89,tail,index_90),q22),
    inference(rew,[status(thm),theory(equality)],[292,274]),
    [iquote('0:Rew:292.0,274.0')] ).

cnf(324,plain,
    equal(store(queue_83,tail,index_84),q21),
    inference(rew,[status(thm),theory(equality)],[291,272]),
    [iquote('0:Rew:291.0,272.0')] ).

cnf(325,plain,
    equal(store(queue_77,tail,index_78),q20),
    inference(rew,[status(thm),theory(equality)],[290,270]),
    [iquote('0:Rew:290.0,270.0')] ).

cnf(326,plain,
    equal(store(queue_71,tail,index_72),q2),
    inference(rew,[status(thm),theory(equality)],[289,268]),
    [iquote('0:Rew:289.0,268.0')] ).

cnf(327,plain,
    equal(store(queue_5,tail,index_6),q1),
    inference(rew,[status(thm),theory(equality)],[278,266]),
    [iquote('0:Rew:278.0,266.0')] ).

cnf(328,plain,
    equal(store(queue_65,tail,index_66),q19),
    inference(rew,[status(thm),theory(equality)],[288,265]),
    [iquote('0:Rew:288.0,265.0')] ).

cnf(329,plain,
    equal(store(queue_59,tail,index_60),q18),
    inference(rew,[status(thm),theory(equality)],[287,263]),
    [iquote('0:Rew:287.0,263.0')] ).

cnf(330,plain,
    equal(store(queue_53,tail,index_54),q17),
    inference(rew,[status(thm),theory(equality)],[286,261]),
    [iquote('0:Rew:286.0,261.0')] ).

cnf(331,plain,
    equal(store(queue_47,tail,index_48),q16),
    inference(rew,[status(thm),theory(equality)],[285,258]),
    [iquote('0:Rew:285.0,258.0')] ).

cnf(332,plain,
    equal(store(queue_41,tail,index_42),q15),
    inference(rew,[status(thm),theory(equality)],[284,256]),
    [iquote('0:Rew:284.0,256.0')] ).

cnf(333,plain,
    equal(store(queue_35,tail,index_36),q14),
    inference(rew,[status(thm),theory(equality)],[283,254]),
    [iquote('0:Rew:283.0,254.0')] ).

cnf(334,plain,
    equal(store(queue_29,tail,index_30),q13),
    inference(rew,[status(thm),theory(equality)],[282,252]),
    [iquote('0:Rew:282.0,252.0')] ).

cnf(335,plain,
    equal(store(queue_257,tail,index_258),q9),
    inference(rew,[status(thm),theory(equality)],[320,250]),
    [iquote('0:Rew:320.0,250.0')] ).

cnf(336,plain,
    equal(store(queue_251,tail,index_252),q8),
    inference(rew,[status(thm),theory(equality)],[319,248]),
    [iquote('0:Rew:319.0,248.0')] ).

cnf(337,plain,
    equal(store(queue_23,tail,index_24),q12),
    inference(rew,[status(thm),theory(equality)],[281,246]),
    [iquote('0:Rew:281.0,246.0')] ).

cnf(338,plain,
    equal(store(queue_245,tail,index_246),q7),
    inference(rew,[status(thm),theory(equality)],[318,245]),
    [iquote('0:Rew:318.0,245.0')] ).

cnf(339,plain,
    equal(store(queue_239,tail,index_240),q6),
    inference(rew,[status(thm),theory(equality)],[317,243]),
    [iquote('0:Rew:317.0,243.0')] ).

cnf(340,plain,
    equal(store(queue_233,tail,index_234),q5),
    inference(rew,[status(thm),theory(equality)],[316,241]),
    [iquote('0:Rew:316.0,241.0')] ).

cnf(341,plain,
    equal(store(queue_227,tail,index_228),q43),
    inference(rew,[status(thm),theory(equality)],[315,238]),
    [iquote('0:Rew:315.0,238.0')] ).

cnf(342,plain,
    equal(store(queue_221,tail,index_222),q42),
    inference(rew,[status(thm),theory(equality)],[314,236]),
    [iquote('0:Rew:314.0,236.0')] ).

cnf(343,plain,
    equal(store(queue_215,tail,index_216),q41),
    inference(rew,[status(thm),theory(equality)],[313,234]),
    [iquote('0:Rew:313.0,234.0')] ).

cnf(344,plain,
    equal(store(queue_209,tail,index_210),q40),
    inference(rew,[status(thm),theory(equality)],[312,232]),
    [iquote('0:Rew:312.0,232.0')] ).

cnf(345,plain,
    equal(store(queue_203,tail,index_204),q4),
    inference(rew,[status(thm),theory(equality)],[311,230]),
    [iquote('0:Rew:311.0,230.0')] ).

cnf(346,plain,
    equal(store(queue_197,tail,index_198),q39),
    inference(rew,[status(thm),theory(equality)],[310,228]),
    [iquote('0:Rew:310.0,228.0')] ).

cnf(347,plain,
    equal(store(queue_191,tail,index_192),q38),
    inference(rew,[status(thm),theory(equality)],[309,226]),
    [iquote('0:Rew:309.0,226.0')] ).

cnf(348,plain,
    equal(store(queue_17,tail,index_18),q11),
    inference(rew,[status(thm),theory(equality)],[280,224]),
    [iquote('0:Rew:280.0,224.0')] ).

cnf(349,plain,
    equal(store(queue_185,tail,index_186),q37),
    inference(rew,[status(thm),theory(equality)],[308,223]),
    [iquote('0:Rew:308.0,223.0')] ).

cnf(350,plain,
    equal(store(queue_179,tail,index_180),q36),
    inference(rew,[status(thm),theory(equality)],[307,221]),
    [iquote('0:Rew:307.0,221.0')] ).

cnf(351,plain,
    equal(store(queue_173,tail,index_174),q35),
    inference(rew,[status(thm),theory(equality)],[306,219]),
    [iquote('0:Rew:306.0,219.0')] ).

cnf(352,plain,
    equal(store(queue_167,tail,index_168),q34),
    inference(rew,[status(thm),theory(equality)],[305,216]),
    [iquote('0:Rew:305.0,216.0')] ).

cnf(353,plain,
    equal(store(queue_161,tail,index_162),q33),
    inference(rew,[status(thm),theory(equality)],[304,214]),
    [iquote('0:Rew:304.0,214.0')] ).

cnf(354,plain,
    equal(store(queue_155,tail,index_156),q32),
    inference(rew,[status(thm),theory(equality)],[303,212]),
    [iquote('0:Rew:303.0,212.0')] ).

cnf(355,plain,
    equal(store(queue_149,tail,index_150),q31),
    inference(rew,[status(thm),theory(equality)],[302,210]),
    [iquote('0:Rew:302.0,210.0')] ).

cnf(356,plain,
    equal(store(queue_143,tail,index_144),q30),
    inference(rew,[status(thm),theory(equality)],[301,208]),
    [iquote('0:Rew:301.0,208.0')] ).

cnf(357,plain,
    equal(store(queue_137,tail,index_138),q3),
    inference(rew,[status(thm),theory(equality)],[300,206]),
    [iquote('0:Rew:300.0,206.0')] ).

cnf(358,plain,
    equal(store(queue_131,tail,index_132),q29),
    inference(rew,[status(thm),theory(equality)],[299,204]),
    [iquote('0:Rew:299.0,204.0')] ).

cnf(359,plain,
    equal(store(queue_11,tail,index_12),q10),
    inference(rew,[status(thm),theory(equality)],[279,202]),
    [iquote('0:Rew:279.0,202.0')] ).

cnf(360,plain,
    equal(store(queue_125,tail,index_126),q28),
    inference(rew,[status(thm),theory(equality)],[298,201]),
    [iquote('0:Rew:298.0,201.0')] ).

cnf(361,plain,
    equal(store(queue_119,tail,index_120),q27),
    inference(rew,[status(thm),theory(equality)],[297,199]),
    [iquote('0:Rew:297.0,199.0')] ).

cnf(362,plain,
    equal(store(queue_113,tail,index_114),q26),
    inference(rew,[status(thm),theory(equality)],[296,197]),
    [iquote('0:Rew:296.0,197.0')] ).

cnf(363,plain,
    equal(store(queue_107,tail,index_108),q25),
    inference(rew,[status(thm),theory(equality)],[295,194]),
    [iquote('0:Rew:295.0,194.0')] ).

cnf(364,plain,
    equal(store(queue_101,tail,index_102),q24),
    inference(rew,[status(thm),theory(equality)],[294,192]),
    [iquote('0:Rew:294.0,192.0')] ).

cnf(365,plain,
    equal(store(q,head,index_0),q0),
    inference(rew,[status(thm),theory(equality)],[277,190]),
    [iquote('0:Rew:277.0,190.0')] ).

cnf(555,plain,
    equal(p(index_72),index_69),
    inference(spr,[status(thm),theory(equality)],[179,6]),
    [iquote('0:SpR:179.0,6.0')] ).

cnf(558,plain,
    equal(p(index_6),index_3),
    inference(spr,[status(thm),theory(equality)],[174,6]),
    [iquote('0:SpR:174.0,6.0')] ).

cnf(564,plain,
    equal(p(index_263),index_264),
    inference(spr,[status(thm),theory(equality)],[161,6]),
    [iquote('0:SpR:161.0,6.0')] ).

cnf(571,plain,
    equal(p(index_228),index_225),
    inference(spr,[status(thm),theory(equality)],[147,6]),
    [iquote('0:SpR:147.0,6.0')] ).

cnf(575,plain,
    equal(p(index_204),index_201),
    inference(spr,[status(thm),theory(equality)],[138,6]),
    [iquote('0:SpR:138.0,6.0')] ).

cnf(904,plain,
    equal(s(s(u)),p(u)),
    inference(spr,[status(thm),theory(equality)],[10,6]),
    [iquote('0:SpR:10.0,6.0')] ).

cnf(1040,plain,
    equal(p(index_135),s(index_138)),
    inference(spr,[status(thm),theory(equality)],[114,904]),
    [iquote('0:SpR:114.0,904.0')] ).

cnf(1056,plain,
    equal(select(q23,tail),index_96),
    inference(spr,[status(thm),theory(equality)],[322,1]),
    [iquote('0:SpR:322.0,1.0')] ).

cnf(1057,plain,
    equal(select(q22,tail),index_90),
    inference(spr,[status(thm),theory(equality)],[323,1]),
    [iquote('0:SpR:323.0,1.0')] ).

cnf(1058,plain,
    equal(select(q21,tail),index_84),
    inference(spr,[status(thm),theory(equality)],[324,1]),
    [iquote('0:SpR:324.0,1.0')] ).

cnf(1059,plain,
    equal(select(q20,tail),index_78),
    inference(spr,[status(thm),theory(equality)],[325,1]),
    [iquote('0:SpR:325.0,1.0')] ).

cnf(1060,plain,
    equal(select(q2,tail),index_72),
    inference(spr,[status(thm),theory(equality)],[326,1]),
    [iquote('0:SpR:326.0,1.0')] ).

cnf(1061,plain,
    equal(select(q1,tail),index_6),
    inference(spr,[status(thm),theory(equality)],[327,1]),
    [iquote('0:SpR:327.0,1.0')] ).

cnf(1062,plain,
    equal(select(q19,tail),index_66),
    inference(spr,[status(thm),theory(equality)],[328,1]),
    [iquote('0:SpR:328.0,1.0')] ).

cnf(1063,plain,
    equal(select(q18,tail),index_60),
    inference(spr,[status(thm),theory(equality)],[329,1]),
    [iquote('0:SpR:329.0,1.0')] ).

cnf(1064,plain,
    equal(select(q17,tail),index_54),
    inference(spr,[status(thm),theory(equality)],[330,1]),
    [iquote('0:SpR:330.0,1.0')] ).

cnf(1065,plain,
    equal(select(q16,tail),index_48),
    inference(spr,[status(thm),theory(equality)],[331,1]),
    [iquote('0:SpR:331.0,1.0')] ).

cnf(1066,plain,
    equal(select(q15,tail),index_42),
    inference(spr,[status(thm),theory(equality)],[332,1]),
    [iquote('0:SpR:332.0,1.0')] ).

cnf(1067,plain,
    equal(select(q14,tail),index_36),
    inference(spr,[status(thm),theory(equality)],[333,1]),
    [iquote('0:SpR:333.0,1.0')] ).

cnf(1068,plain,
    equal(select(q13,tail),index_30),
    inference(spr,[status(thm),theory(equality)],[334,1]),
    [iquote('0:SpR:334.0,1.0')] ).

cnf(1069,plain,
    equal(select(q9,tail),index_258),
    inference(spr,[status(thm),theory(equality)],[335,1]),
    [iquote('0:SpR:335.0,1.0')] ).

cnf(1070,plain,
    equal(select(q8,tail),index_252),
    inference(spr,[status(thm),theory(equality)],[336,1]),
    [iquote('0:SpR:336.0,1.0')] ).

cnf(1071,plain,
    equal(select(q12,tail),index_24),
    inference(spr,[status(thm),theory(equality)],[337,1]),
    [iquote('0:SpR:337.0,1.0')] ).

cnf(1072,plain,
    equal(select(q7,tail),index_246),
    inference(spr,[status(thm),theory(equality)],[338,1]),
    [iquote('0:SpR:338.0,1.0')] ).

cnf(1073,plain,
    equal(select(q6,tail),index_240),
    inference(spr,[status(thm),theory(equality)],[339,1]),
    [iquote('0:SpR:339.0,1.0')] ).

cnf(1074,plain,
    equal(select(q5,tail),index_234),
    inference(spr,[status(thm),theory(equality)],[340,1]),
    [iquote('0:SpR:340.0,1.0')] ).

cnf(1075,plain,
    equal(select(q43,tail),index_228),
    inference(spr,[status(thm),theory(equality)],[341,1]),
    [iquote('0:SpR:341.0,1.0')] ).

cnf(1076,plain,
    equal(select(q42,tail),index_222),
    inference(spr,[status(thm),theory(equality)],[342,1]),
    [iquote('0:SpR:342.0,1.0')] ).

cnf(1077,plain,
    equal(select(q41,tail),index_216),
    inference(spr,[status(thm),theory(equality)],[343,1]),
    [iquote('0:SpR:343.0,1.0')] ).

cnf(1078,plain,
    equal(select(q40,tail),index_210),
    inference(spr,[status(thm),theory(equality)],[344,1]),
    [iquote('0:SpR:344.0,1.0')] ).

cnf(1079,plain,
    equal(select(q4,tail),index_204),
    inference(spr,[status(thm),theory(equality)],[345,1]),
    [iquote('0:SpR:345.0,1.0')] ).

cnf(1080,plain,
    equal(select(q39,tail),index_198),
    inference(spr,[status(thm),theory(equality)],[346,1]),
    [iquote('0:SpR:346.0,1.0')] ).

cnf(1081,plain,
    equal(select(q38,tail),index_192),
    inference(spr,[status(thm),theory(equality)],[347,1]),
    [iquote('0:SpR:347.0,1.0')] ).

cnf(1082,plain,
    equal(select(q11,tail),index_18),
    inference(spr,[status(thm),theory(equality)],[348,1]),
    [iquote('0:SpR:348.0,1.0')] ).

cnf(1083,plain,
    equal(select(q37,tail),index_186),
    inference(spr,[status(thm),theory(equality)],[349,1]),
    [iquote('0:SpR:349.0,1.0')] ).

cnf(1084,plain,
    equal(select(q36,tail),index_180),
    inference(spr,[status(thm),theory(equality)],[350,1]),
    [iquote('0:SpR:350.0,1.0')] ).

cnf(1085,plain,
    equal(select(q35,tail),index_174),
    inference(spr,[status(thm),theory(equality)],[351,1]),
    [iquote('0:SpR:351.0,1.0')] ).

cnf(1086,plain,
    equal(select(q34,tail),index_168),
    inference(spr,[status(thm),theory(equality)],[352,1]),
    [iquote('0:SpR:352.0,1.0')] ).

cnf(1087,plain,
    equal(select(q33,tail),index_162),
    inference(spr,[status(thm),theory(equality)],[353,1]),
    [iquote('0:SpR:353.0,1.0')] ).

cnf(1088,plain,
    equal(select(q32,tail),index_156),
    inference(spr,[status(thm),theory(equality)],[354,1]),
    [iquote('0:SpR:354.0,1.0')] ).

cnf(1089,plain,
    equal(select(q31,tail),index_150),
    inference(spr,[status(thm),theory(equality)],[355,1]),
    [iquote('0:SpR:355.0,1.0')] ).

cnf(1090,plain,
    equal(select(q30,tail),index_144),
    inference(spr,[status(thm),theory(equality)],[356,1]),
    [iquote('0:SpR:356.0,1.0')] ).

cnf(1091,plain,
    equal(select(q3,tail),index_138),
    inference(spr,[status(thm),theory(equality)],[357,1]),
    [iquote('0:SpR:357.0,1.0')] ).

cnf(1092,plain,
    equal(select(q29,tail),index_132),
    inference(spr,[status(thm),theory(equality)],[358,1]),
    [iquote('0:SpR:358.0,1.0')] ).

cnf(1093,plain,
    equal(select(q10,tail),index_12),
    inference(spr,[status(thm),theory(equality)],[359,1]),
    [iquote('0:SpR:359.0,1.0')] ).

cnf(1094,plain,
    equal(select(q28,tail),index_126),
    inference(spr,[status(thm),theory(equality)],[360,1]),
    [iquote('0:SpR:360.0,1.0')] ).

cnf(1095,plain,
    equal(select(q27,tail),index_120),
    inference(spr,[status(thm),theory(equality)],[361,1]),
    [iquote('0:SpR:361.0,1.0')] ).

cnf(1096,plain,
    equal(select(q26,tail),index_114),
    inference(spr,[status(thm),theory(equality)],[362,1]),
    [iquote('0:SpR:362.0,1.0')] ).

cnf(1097,plain,
    equal(select(q25,tail),index_108),
    inference(spr,[status(thm),theory(equality)],[363,1]),
    [iquote('0:SpR:363.0,1.0')] ).

cnf(1098,plain,
    equal(select(q24,tail),index_102),
    inference(spr,[status(thm),theory(equality)],[364,1]),
    [iquote('0:SpR:364.0,1.0')] ).

cnf(1118,plain,
    equal(select(queue_227,seq),earray_226),
    inference(spr,[status(thm),theory(equality)],[237,1]),
    [iquote('0:SpR:237.0,1.0')] ).

cnf(1142,plain,
    equal(select(q0,head),index_0),
    inference(spr,[status(thm),theory(equality)],[365,1]),
    [iquote('0:SpR:365.0,1.0')] ).

cnf(1161,plain,
    equal(select(earray_226,index_225),e42),
    inference(spr,[status(thm),theory(equality)],[59,1]),
    [iquote('0:SpR:59.0,1.0')] ).

cnf(1186,plain,
    equal(index_96,index_99),
    inference(rew,[status(thm),theory(equality)],[189,1056]),
    [iquote('0:Rew:189.0,1056.0')] ).

cnf(1187,plain,
    equal(s(index_93),index_99),
    inference(rew,[status(thm),theory(equality)],[1186,188]),
    [iquote('0:Rew:1186.0,188.0')] ).

cnf(1189,plain,
    equal(store(queue_95,tail,index_99),q23),
    inference(rew,[status(thm),theory(equality)],[1186,322]),
    [iquote('0:Rew:1186.0,322.0')] ).

cnf(1195,plain,
    equal(index_90,index_93),
    inference(rew,[status(thm),theory(equality)],[187,1057]),
    [iquote('0:Rew:187.0,1057.0')] ).

cnf(1196,plain,
    equal(s(index_87),index_93),
    inference(rew,[status(thm),theory(equality)],[1195,186]),
    [iquote('0:Rew:1195.0,186.0')] ).

cnf(1198,plain,
    equal(store(queue_89,tail,index_93),q22),
    inference(rew,[status(thm),theory(equality)],[1195,323]),
    [iquote('0:Rew:1195.0,323.0')] ).

cnf(1201,plain,
    equal(index_84,index_87),
    inference(rew,[status(thm),theory(equality)],[184,1058]),
    [iquote('0:Rew:184.0,1058.0')] ).

cnf(1202,plain,
    equal(s(index_81),index_87),
    inference(rew,[status(thm),theory(equality)],[1201,183]),
    [iquote('0:Rew:1201.0,183.0')] ).

cnf(1204,plain,
    equal(store(queue_83,tail,index_87),q21),
    inference(rew,[status(thm),theory(equality)],[1201,324]),
    [iquote('0:Rew:1201.0,324.0')] ).

cnf(1207,plain,
    equal(index_78,index_81),
    inference(rew,[status(thm),theory(equality)],[182,1059]),
    [iquote('0:Rew:182.0,1059.0')] ).

cnf(1208,plain,
    equal(s(index_75),index_81),
    inference(rew,[status(thm),theory(equality)],[1207,181]),
    [iquote('0:Rew:1207.0,181.0')] ).

cnf(1210,plain,
    equal(store(queue_77,tail,index_81),q20),
    inference(rew,[status(thm),theory(equality)],[1207,325]),
    [iquote('0:Rew:1207.0,325.0')] ).

cnf(1213,plain,
    equal(index_72,index_135),
    inference(rew,[status(thm),theory(equality)],[113,1060]),
    [iquote('0:Rew:113.0,1060.0')] ).

cnf(1214,plain,
    equal(s(index_69),index_135),
    inference(rew,[status(thm),theory(equality)],[1213,179]),
    [iquote('0:Rew:1213.0,179.0')] ).

cnf(1215,plain,
    equal(p(index_135),index_69),
    inference(rew,[status(thm),theory(equality)],[1213,555]),
    [iquote('0:Rew:1213.0,555.0')] ).

cnf(1216,plain,
    equal(store(queue_71,tail,index_135),q2),
    inference(rew,[status(thm),theory(equality)],[1213,326]),
    [iquote('0:Rew:1213.0,326.0')] ).

cnf(1219,plain,
    equal(s(index_138),index_69),
    inference(rew,[status(thm),theory(equality)],[1040,1215]),
    [iquote('0:Rew:1040.0,1215.0')] ).

cnf(1221,plain,
    equal(index_6,index_69),
    inference(rew,[status(thm),theory(equality)],[178,1061]),
    [iquote('0:Rew:178.0,1061.0')] ).

cnf(1223,plain,
    equal(p(index_69),index_3),
    inference(rew,[status(thm),theory(equality)],[1221,558]),
    [iquote('0:Rew:1221.0,558.0')] ).

cnf(1224,plain,
    equal(store(queue_5,tail,index_69),q1),
    inference(rew,[status(thm),theory(equality)],[1221,327]),
    [iquote('0:Rew:1221.0,327.0')] ).

cnf(1227,plain,
    equal(index_66,index_75),
    inference(rew,[status(thm),theory(equality)],[180,1062]),
    [iquote('0:Rew:180.0,1062.0')] ).

cnf(1228,plain,
    equal(s(index_63),index_75),
    inference(rew,[status(thm),theory(equality)],[1227,177]),
    [iquote('0:Rew:1227.0,177.0')] ).

cnf(1231,plain,
    equal(store(queue_65,tail,index_75),q19),
    inference(rew,[status(thm),theory(equality)],[1227,328]),
    [iquote('0:Rew:1227.0,328.0')] ).

cnf(1233,plain,
    equal(index_60,index_63),
    inference(rew,[status(thm),theory(equality)],[176,1063]),
    [iquote('0:Rew:176.0,1063.0')] ).

cnf(1234,plain,
    equal(s(index_57),index_63),
    inference(rew,[status(thm),theory(equality)],[1233,175]),
    [iquote('0:Rew:1233.0,175.0')] ).

cnf(1237,plain,
    equal(store(queue_59,tail,index_63),q18),
    inference(rew,[status(thm),theory(equality)],[1233,329]),
    [iquote('0:Rew:1233.0,329.0')] ).

cnf(1239,plain,
    equal(index_54,index_57),
    inference(rew,[status(thm),theory(equality)],[173,1064]),
    [iquote('0:Rew:173.0,1064.0')] ).

cnf(1240,plain,
    equal(s(index_51),index_57),
    inference(rew,[status(thm),theory(equality)],[1239,172]),
    [iquote('0:Rew:1239.0,172.0')] ).

cnf(1243,plain,
    equal(store(queue_53,tail,index_57),q17),
    inference(rew,[status(thm),theory(equality)],[1239,330]),
    [iquote('0:Rew:1239.0,330.0')] ).

cnf(1245,plain,
    equal(index_48,index_51),
    inference(rew,[status(thm),theory(equality)],[171,1065]),
    [iquote('0:Rew:171.0,1065.0')] ).

cnf(1246,plain,
    equal(s(index_45),index_51),
    inference(rew,[status(thm),theory(equality)],[1245,170]),
    [iquote('0:Rew:1245.0,170.0')] ).

cnf(1249,plain,
    equal(store(queue_47,tail,index_51),q16),
    inference(rew,[status(thm),theory(equality)],[1245,331]),
    [iquote('0:Rew:1245.0,331.0')] ).

cnf(1251,plain,
    equal(index_42,index_45),
    inference(rew,[status(thm),theory(equality)],[169,1066]),
    [iquote('0:Rew:169.0,1066.0')] ).

cnf(1252,plain,
    equal(s(index_39),index_45),
    inference(rew,[status(thm),theory(equality)],[1251,168]),
    [iquote('0:Rew:1251.0,168.0')] ).

cnf(1255,plain,
    equal(store(queue_41,tail,index_45),q15),
    inference(rew,[status(thm),theory(equality)],[1251,332]),
    [iquote('0:Rew:1251.0,332.0')] ).

cnf(1257,plain,
    equal(index_36,index_39),
    inference(rew,[status(thm),theory(equality)],[167,1067]),
    [iquote('0:Rew:167.0,1067.0')] ).

cnf(1258,plain,
    equal(s(index_33),index_39),
    inference(rew,[status(thm),theory(equality)],[1257,166]),
    [iquote('0:Rew:1257.0,166.0')] ).

cnf(1261,plain,
    equal(store(queue_35,tail,index_39),q14),
    inference(rew,[status(thm),theory(equality)],[1257,333]),
    [iquote('0:Rew:1257.0,333.0')] ).

cnf(1263,plain,
    equal(index_30,index_33),
    inference(rew,[status(thm),theory(equality)],[165,1068]),
    [iquote('0:Rew:165.0,1068.0')] ).

cnf(1264,plain,
    equal(s(index_27),index_33),
    inference(rew,[status(thm),theory(equality)],[1263,164]),
    [iquote('0:Rew:1263.0,164.0')] ).

cnf(1267,plain,
    equal(store(queue_29,tail,index_33),q13),
    inference(rew,[status(thm),theory(equality)],[1263,334]),
    [iquote('0:Rew:1263.0,334.0')] ).

cnf(1269,plain,
    equal(index_258,index_9),
    inference(rew,[status(thm),theory(equality)],[185,1069]),
    [iquote('0:Rew:185.0,1069.0')] ).

cnf(1270,plain,
    equal(s(index_255),index_9),
    inference(rew,[status(thm),theory(equality)],[1269,158]),
    [iquote('0:Rew:1269.0,158.0')] ).

cnf(1273,plain,
    equal(store(queue_257,tail,index_9),q9),
    inference(rew,[status(thm),theory(equality)],[1269,335]),
    [iquote('0:Rew:1269.0,335.0')] ).

cnf(1277,plain,
    equal(index_252,index_255),
    inference(rew,[status(thm),theory(equality)],[157,1070]),
    [iquote('0:Rew:157.0,1070.0')] ).

cnf(1278,plain,
    equal(s(index_249),index_255),
    inference(rew,[status(thm),theory(equality)],[1277,156]),
    [iquote('0:Rew:1277.0,156.0')] ).

cnf(1281,plain,
    equal(store(queue_251,tail,index_255),q8),
    inference(rew,[status(thm),theory(equality)],[1277,336]),
    [iquote('0:Rew:1277.0,336.0')] ).

cnf(1283,plain,
    equal(index_24,index_27),
    inference(rew,[status(thm),theory(equality)],[162,1071]),
    [iquote('0:Rew:162.0,1071.0')] ).

cnf(1284,plain,
    equal(s(index_21),index_27),
    inference(rew,[status(thm),theory(equality)],[1283,151]),
    [iquote('0:Rew:1283.0,151.0')] ).

cnf(1287,plain,
    equal(store(queue_23,tail,index_27),q12),
    inference(rew,[status(thm),theory(equality)],[1283,337]),
    [iquote('0:Rew:1283.0,337.0')] ).

cnf(1289,plain,
    equal(index_246,index_249),
    inference(rew,[status(thm),theory(equality)],[155,1072]),
    [iquote('0:Rew:155.0,1072.0')] ).

cnf(1290,plain,
    equal(s(index_243),index_249),
    inference(rew,[status(thm),theory(equality)],[1289,154]),
    [iquote('0:Rew:1289.0,154.0')] ).

cnf(1293,plain,
    equal(store(queue_245,tail,index_249),q7),
    inference(rew,[status(thm),theory(equality)],[1289,338]),
    [iquote('0:Rew:1289.0,338.0')] ).

cnf(1295,plain,
    equal(index_240,index_243),
    inference(rew,[status(thm),theory(equality)],[153,1073]),
    [iquote('0:Rew:153.0,1073.0')] ).

cnf(1296,plain,
    equal(s(index_237),index_243),
    inference(rew,[status(thm),theory(equality)],[1295,152]),
    [iquote('0:Rew:1295.0,152.0')] ).

cnf(1299,plain,
    equal(store(queue_239,tail,index_243),q6),
    inference(rew,[status(thm),theory(equality)],[1295,339]),
    [iquote('0:Rew:1295.0,339.0')] ).

cnf(1301,plain,
    equal(index_234,index_237),
    inference(rew,[status(thm),theory(equality)],[150,1074]),
    [iquote('0:Rew:150.0,1074.0')] ).

cnf(1302,plain,
    equal(s(index_231),index_237),
    inference(rew,[status(thm),theory(equality)],[1301,149]),
    [iquote('0:Rew:1301.0,149.0')] ).

cnf(1305,plain,
    equal(store(queue_233,tail,index_237),q5),
    inference(rew,[status(thm),theory(equality)],[1301,340]),
    [iquote('0:Rew:1301.0,340.0')] ).

cnf(1307,plain,
    equal(index_263,index_228),
    inference(rew,[status(thm),theory(equality)],[160,1075]),
    [iquote('0:Rew:160.0,1075.0')] ).

cnf(1310,plain,
    equal(p(index_228),index_264),
    inference(rew,[status(thm),theory(equality)],[1307,564]),
    [iquote('0:Rew:1307.0,564.0')] ).

cnf(1313,plain,
    equal(index_264,index_225),
    inference(rew,[status(thm),theory(equality)],[571,1310]),
    [iquote('0:Rew:571.0,1310.0')] ).

cnf(1314,plain,
    equal(select(earray_260,index_225),elem_265),
    inference(rew,[status(thm),theory(equality)],[1313,99]),
    [iquote('0:Rew:1313.0,99.0')] ).

cnf(1317,plain,
    equal(index_222,index_225),
    inference(rew,[status(thm),theory(equality)],[146,1076]),
    [iquote('0:Rew:146.0,1076.0')] ).

cnf(1318,plain,
    equal(s(index_219),index_225),
    inference(rew,[status(thm),theory(equality)],[1317,145]),
    [iquote('0:Rew:1317.0,145.0')] ).

cnf(1321,plain,
    equal(store(queue_221,tail,index_225),q42),
    inference(rew,[status(thm),theory(equality)],[1317,342]),
    [iquote('0:Rew:1317.0,342.0')] ).

cnf(1325,plain,
    equal(index_216,index_219),
    inference(rew,[status(thm),theory(equality)],[144,1077]),
    [iquote('0:Rew:144.0,1077.0')] ).

cnf(1326,plain,
    equal(s(index_213),index_219),
    inference(rew,[status(thm),theory(equality)],[1325,143]),
    [iquote('0:Rew:1325.0,143.0')] ).

cnf(1329,plain,
    equal(store(queue_215,tail,index_219),q41),
    inference(rew,[status(thm),theory(equality)],[1325,343]),
    [iquote('0:Rew:1325.0,343.0')] ).

cnf(1331,plain,
    equal(index_210,index_213),
    inference(rew,[status(thm),theory(equality)],[142,1078]),
    [iquote('0:Rew:142.0,1078.0')] ).

cnf(1332,plain,
    equal(s(index_207),index_213),
    inference(rew,[status(thm),theory(equality)],[1331,141]),
    [iquote('0:Rew:1331.0,141.0')] ).

cnf(1335,plain,
    equal(store(queue_209,tail,index_213),q40),
    inference(rew,[status(thm),theory(equality)],[1331,344]),
    [iquote('0:Rew:1331.0,344.0')] ).

cnf(1337,plain,
    equal(index_204,index_231),
    inference(rew,[status(thm),theory(equality)],[148,1079]),
    [iquote('0:Rew:148.0,1079.0')] ).

cnf(1338,plain,
    equal(s(index_201),index_231),
    inference(rew,[status(thm),theory(equality)],[1337,138]),
    [iquote('0:Rew:1337.0,138.0')] ).

cnf(1339,plain,
    equal(p(index_231),index_201),
    inference(rew,[status(thm),theory(equality)],[1337,575]),
    [iquote('0:Rew:1337.0,575.0')] ).

cnf(1341,plain,
    equal(store(queue_203,tail,index_231),q4),
    inference(rew,[status(thm),theory(equality)],[1337,345]),
    [iquote('0:Rew:1337.0,345.0')] ).

cnf(1343,plain,
    equal(index_198,index_207),
    inference(rew,[status(thm),theory(equality)],[139,1080]),
    [iquote('0:Rew:139.0,1080.0')] ).

cnf(1344,plain,
    equal(s(index_195),index_207),
    inference(rew,[status(thm),theory(equality)],[1343,136]),
    [iquote('0:Rew:1343.0,136.0')] ).

cnf(1347,plain,
    equal(store(queue_197,tail,index_207),q39),
    inference(rew,[status(thm),theory(equality)],[1343,346]),
    [iquote('0:Rew:1343.0,346.0')] ).

cnf(1349,plain,
    equal(index_192,index_195),
    inference(rew,[status(thm),theory(equality)],[135,1081]),
    [iquote('0:Rew:135.0,1081.0')] ).

cnf(1350,plain,
    equal(s(index_189),index_195),
    inference(rew,[status(thm),theory(equality)],[1349,134]),
    [iquote('0:Rew:1349.0,134.0')] ).

cnf(1353,plain,
    equal(store(queue_191,tail,index_195),q38),
    inference(rew,[status(thm),theory(equality)],[1349,347]),
    [iquote('0:Rew:1349.0,347.0')] ).

cnf(1355,plain,
    equal(index_18,index_21),
    inference(rew,[status(thm),theory(equality)],[140,1082]),
    [iquote('0:Rew:140.0,1082.0')] ).

cnf(1356,plain,
    equal(s(index_15),index_21),
    inference(rew,[status(thm),theory(equality)],[1355,129]),
    [iquote('0:Rew:1355.0,129.0')] ).

cnf(1359,plain,
    equal(store(queue_17,tail,index_21),q11),
    inference(rew,[status(thm),theory(equality)],[1355,348]),
    [iquote('0:Rew:1355.0,348.0')] ).

cnf(1361,plain,
    equal(index_186,index_189),
    inference(rew,[status(thm),theory(equality)],[133,1083]),
    [iquote('0:Rew:133.0,1083.0')] ).

cnf(1362,plain,
    equal(s(index_183),index_189),
    inference(rew,[status(thm),theory(equality)],[1361,132]),
    [iquote('0:Rew:1361.0,132.0')] ).

cnf(1365,plain,
    equal(store(queue_185,tail,index_189),q37),
    inference(rew,[status(thm),theory(equality)],[1361,349]),
    [iquote('0:Rew:1361.0,349.0')] ).

cnf(1367,plain,
    equal(index_180,index_183),
    inference(rew,[status(thm),theory(equality)],[131,1084]),
    [iquote('0:Rew:131.0,1084.0')] ).

cnf(1368,plain,
    equal(s(index_177),index_183),
    inference(rew,[status(thm),theory(equality)],[1367,130]),
    [iquote('0:Rew:1367.0,130.0')] ).

cnf(1371,plain,
    equal(store(queue_179,tail,index_183),q36),
    inference(rew,[status(thm),theory(equality)],[1367,350]),
    [iquote('0:Rew:1367.0,350.0')] ).

cnf(1373,plain,
    equal(index_174,index_177),
    inference(rew,[status(thm),theory(equality)],[128,1085]),
    [iquote('0:Rew:128.0,1085.0')] ).

cnf(1374,plain,
    equal(s(index_171),index_177),
    inference(rew,[status(thm),theory(equality)],[1373,127]),
    [iquote('0:Rew:1373.0,127.0')] ).

cnf(1377,plain,
    equal(store(queue_173,tail,index_177),q35),
    inference(rew,[status(thm),theory(equality)],[1373,351]),
    [iquote('0:Rew:1373.0,351.0')] ).

cnf(1379,plain,
    equal(index_168,index_171),
    inference(rew,[status(thm),theory(equality)],[126,1086]),
    [iquote('0:Rew:126.0,1086.0')] ).

cnf(1380,plain,
    equal(s(index_165),index_171),
    inference(rew,[status(thm),theory(equality)],[1379,125]),
    [iquote('0:Rew:1379.0,125.0')] ).

cnf(1383,plain,
    equal(store(queue_167,tail,index_171),q34),
    inference(rew,[status(thm),theory(equality)],[1379,352]),
    [iquote('0:Rew:1379.0,352.0')] ).

cnf(1385,plain,
    equal(index_162,index_165),
    inference(rew,[status(thm),theory(equality)],[124,1087]),
    [iquote('0:Rew:124.0,1087.0')] ).

cnf(1386,plain,
    equal(s(index_159),index_165),
    inference(rew,[status(thm),theory(equality)],[1385,123]),
    [iquote('0:Rew:1385.0,123.0')] ).

cnf(1389,plain,
    equal(store(queue_161,tail,index_165),q33),
    inference(rew,[status(thm),theory(equality)],[1385,353]),
    [iquote('0:Rew:1385.0,353.0')] ).

cnf(1391,plain,
    equal(index_156,index_159),
    inference(rew,[status(thm),theory(equality)],[122,1088]),
    [iquote('0:Rew:122.0,1088.0')] ).

cnf(1392,plain,
    equal(s(index_153),index_159),
    inference(rew,[status(thm),theory(equality)],[1391,121]),
    [iquote('0:Rew:1391.0,121.0')] ).

cnf(1395,plain,
    equal(store(queue_155,tail,index_159),q32),
    inference(rew,[status(thm),theory(equality)],[1391,354]),
    [iquote('0:Rew:1391.0,354.0')] ).

cnf(1397,plain,
    equal(index_150,index_153),
    inference(rew,[status(thm),theory(equality)],[120,1089]),
    [iquote('0:Rew:120.0,1089.0')] ).

cnf(1398,plain,
    equal(s(index_147),index_153),
    inference(rew,[status(thm),theory(equality)],[1397,119]),
    [iquote('0:Rew:1397.0,119.0')] ).

cnf(1401,plain,
    equal(store(queue_149,tail,index_153),q31),
    inference(rew,[status(thm),theory(equality)],[1397,355]),
    [iquote('0:Rew:1397.0,355.0')] ).

cnf(1403,plain,
    equal(index_144,index_147),
    inference(rew,[status(thm),theory(equality)],[117,1090]),
    [iquote('0:Rew:117.0,1090.0')] ).

cnf(1404,plain,
    equal(s(index_141),index_147),
    inference(rew,[status(thm),theory(equality)],[1403,116]),
    [iquote('0:Rew:1403.0,116.0')] ).

cnf(1407,plain,
    equal(store(queue_143,tail,index_147),q30),
    inference(rew,[status(thm),theory(equality)],[1403,356]),
    [iquote('0:Rew:1403.0,356.0')] ).

cnf(1409,plain,
    equal(index_138,index_201),
    inference(rew,[status(thm),theory(equality)],[137,1091]),
    [iquote('0:Rew:137.0,1091.0')] ).

cnf(1410,plain,
    equal(s(index_135),index_201),
    inference(rew,[status(thm),theory(equality)],[1409,114]),
    [iquote('0:Rew:1409.0,114.0')] ).

cnf(1413,plain,
    equal(store(queue_137,tail,index_201),q3),
    inference(rew,[status(thm),theory(equality)],[1409,357]),
    [iquote('0:Rew:1409.0,357.0')] ).

cnf(1414,plain,
    equal(s(index_201),index_69),
    inference(rew,[status(thm),theory(equality)],[1409,1219]),
    [iquote('0:Rew:1409.0,1219.0')] ).

cnf(1415,plain,
    equal(index_69,index_231),
    inference(rew,[status(thm),theory(equality)],[1338,1414]),
    [iquote('0:Rew:1338.0,1414.0')] ).

cnf(1418,plain,
    equal(s(index_231),index_135),
    inference(rew,[status(thm),theory(equality)],[1415,1214]),
    [iquote('0:Rew:1415.0,1214.0')] ).

cnf(1423,plain,
    equal(p(index_231),index_3),
    inference(rew,[status(thm),theory(equality)],[1415,1223]),
    [iquote('0:Rew:1415.0,1223.0')] ).

cnf(1425,plain,
    equal(index_237,index_135),
    inference(rew,[status(thm),theory(equality)],[1302,1418]),
    [iquote('0:Rew:1302.0,1418.0')] ).

cnf(1428,plain,
    equal(s(index_135),index_243),
    inference(rew,[status(thm),theory(equality)],[1425,1296]),
    [iquote('0:Rew:1425.0,1296.0')] ).

cnf(1432,plain,
    equal(s(index_231),index_135),
    inference(rew,[status(thm),theory(equality)],[1425,1302]),
    [iquote('0:Rew:1425.0,1302.0')] ).

cnf(1435,plain,
    equal(index_3,index_201),
    inference(rew,[status(thm),theory(equality)],[1339,1423]),
    [iquote('0:Rew:1339.0,1423.0')] ).

cnf(1436,plain,
    equal(select(q0,tail),index_201),
    inference(rew,[status(thm),theory(equality)],[1435,163]),
    [iquote('0:Rew:1435.0,163.0')] ).

cnf(1440,plain,
    equal(index_243,index_201),
    inference(rew,[status(thm),theory(equality)],[1410,1428]),
    [iquote('0:Rew:1410.0,1428.0')] ).

cnf(1443,plain,
    equal(s(index_201),index_249),
    inference(rew,[status(thm),theory(equality)],[1440,1290]),
    [iquote('0:Rew:1440.0,1290.0')] ).

cnf(1449,plain,
    equal(index_249,index_231),
    inference(rew,[status(thm),theory(equality)],[1338,1443]),
    [iquote('0:Rew:1338.0,1443.0')] ).

cnf(1452,plain,
    equal(s(index_231),index_255),
    inference(rew,[status(thm),theory(equality)],[1449,1278]),
    [iquote('0:Rew:1449.0,1278.0')] ).

cnf(1458,plain,
    equal(index_255,index_135),
    inference(rew,[status(thm),theory(equality)],[1432,1452]),
    [iquote('0:Rew:1432.0,1452.0')] ).

cnf(1461,plain,
    equal(s(index_135),index_9),
    inference(rew,[status(thm),theory(equality)],[1458,1270]),
    [iquote('0:Rew:1458.0,1270.0')] ).

cnf(1468,plain,
    equal(index_201,index_9),
    inference(rew,[status(thm),theory(equality)],[1410,1461]),
    [iquote('0:Rew:1410.0,1461.0')] ).

cnf(1471,plain,
    equal(s(index_9),index_231),
    inference(rew,[status(thm),theory(equality)],[1468,1338]),
    [iquote('0:Rew:1468.0,1338.0')] ).

cnf(1475,plain,
    equal(s(index_135),index_9),
    inference(rew,[status(thm),theory(equality)],[1468,1410]),
    [iquote('0:Rew:1468.0,1410.0')] ).

cnf(1479,plain,
    equal(index_243,index_9),
    inference(rew,[status(thm),theory(equality)],[1468,1440]),
    [iquote('0:Rew:1468.0,1440.0')] ).

cnf(1481,plain,
    equal(index_12,index_231),
    inference(rew,[status(thm),theory(equality)],[107,1471]),
    [iquote('0:Rew:107.0,1471.0')] ).

cnf(1482,plain,
    equal(s(index_9),index_231),
    inference(rew,[status(thm),theory(equality)],[1481,107]),
    [iquote('0:Rew:1481.0,107.0')] ).

cnf(1485,plain,
    equal(store(queue_11,tail,index_231),q10),
    inference(rew,[status(thm),theory(equality)],[1481,359]),
    [iquote('0:Rew:1481.0,359.0')] ).

cnf(1487,plain,
    equal(index_132,index_141),
    inference(rew,[status(thm),theory(equality)],[115,1092]),
    [iquote('0:Rew:115.0,1092.0')] ).

cnf(1488,plain,
    equal(s(index_129),index_141),
    inference(rew,[status(thm),theory(equality)],[1487,112]),
    [iquote('0:Rew:1487.0,112.0')] ).

cnf(1491,plain,
    equal(store(queue_131,tail,index_141),q29),
    inference(rew,[status(thm),theory(equality)],[1487,358]),
    [iquote('0:Rew:1487.0,358.0')] ).

cnf(1493,plain,
    equal(index_12,index_15),
    inference(rew,[status(thm),theory(equality)],[118,1093]),
    [iquote('0:Rew:118.0,1093.0')] ).

cnf(1494,plain,
    equal(index_231,index_15),
    inference(rew,[status(thm),theory(equality)],[1481,1493]),
    [iquote('0:Rew:1481.0,1493.0')] ).

cnf(1498,plain,
    equal(index_69,index_15),
    inference(rew,[status(thm),theory(equality)],[1494,1415]),
    [iquote('0:Rew:1494.0,1415.0')] ).

cnf(1502,plain,
    equal(s(index_15),index_135),
    inference(rew,[status(thm),theory(equality)],[1494,1432]),
    [iquote('0:Rew:1494.0,1432.0')] ).

cnf(1503,plain,
    equal(index_249,index_15),
    inference(rew,[status(thm),theory(equality)],[1494,1449]),
    [iquote('0:Rew:1494.0,1449.0')] ).

cnf(1508,plain,
    equal(s(index_9),index_15),
    inference(rew,[status(thm),theory(equality)],[1494,1482]),
    [iquote('0:Rew:1494.0,1482.0')] ).

cnf(1509,plain,
    equal(index_21,index_135),
    inference(rew,[status(thm),theory(equality)],[1356,1502]),
    [iquote('0:Rew:1356.0,1502.0')] ).

cnf(1512,plain,
    equal(s(index_135),index_27),
    inference(rew,[status(thm),theory(equality)],[1509,1284]),
    [iquote('0:Rew:1509.0,1284.0')] ).

cnf(1516,plain,
    equal(s(index_15),index_135),
    inference(rew,[status(thm),theory(equality)],[1509,1356]),
    [iquote('0:Rew:1509.0,1356.0')] ).

cnf(1519,plain,
    equal(index_27,index_9),
    inference(rew,[status(thm),theory(equality)],[1475,1512]),
    [iquote('0:Rew:1475.0,1512.0')] ).

cnf(1522,plain,
    equal(s(index_9),index_33),
    inference(rew,[status(thm),theory(equality)],[1519,1264]),
    [iquote('0:Rew:1519.0,1264.0')] ).

cnf(1528,plain,
    equal(index_33,index_15),
    inference(rew,[status(thm),theory(equality)],[1508,1522]),
    [iquote('0:Rew:1508.0,1522.0')] ).

cnf(1531,plain,
    equal(s(index_15),index_39),
    inference(rew,[status(thm),theory(equality)],[1528,1258]),
    [iquote('0:Rew:1528.0,1258.0')] ).

cnf(1537,plain,
    equal(index_39,index_135),
    inference(rew,[status(thm),theory(equality)],[1516,1531]),
    [iquote('0:Rew:1516.0,1531.0')] ).

cnf(1540,plain,
    equal(s(index_135),index_45),
    inference(rew,[status(thm),theory(equality)],[1537,1252]),
    [iquote('0:Rew:1537.0,1252.0')] ).

cnf(1546,plain,
    equal(index_45,index_9),
    inference(rew,[status(thm),theory(equality)],[1475,1540]),
    [iquote('0:Rew:1475.0,1540.0')] ).

cnf(1549,plain,
    equal(s(index_9),index_51),
    inference(rew,[status(thm),theory(equality)],[1546,1246]),
    [iquote('0:Rew:1546.0,1246.0')] ).

cnf(1555,plain,
    equal(index_51,index_15),
    inference(rew,[status(thm),theory(equality)],[1508,1549]),
    [iquote('0:Rew:1508.0,1549.0')] ).

cnf(1558,plain,
    equal(s(index_15),index_57),
    inference(rew,[status(thm),theory(equality)],[1555,1240]),
    [iquote('0:Rew:1555.0,1240.0')] ).

cnf(1564,plain,
    equal(index_57,index_135),
    inference(rew,[status(thm),theory(equality)],[1516,1558]),
    [iquote('0:Rew:1516.0,1558.0')] ).

cnf(1567,plain,
    equal(s(index_135),index_63),
    inference(rew,[status(thm),theory(equality)],[1564,1234]),
    [iquote('0:Rew:1564.0,1234.0')] ).

cnf(1573,plain,
    equal(index_63,index_9),
    inference(rew,[status(thm),theory(equality)],[1475,1567]),
    [iquote('0:Rew:1475.0,1567.0')] ).

cnf(1576,plain,
    equal(s(index_9),index_75),
    inference(rew,[status(thm),theory(equality)],[1573,1228]),
    [iquote('0:Rew:1573.0,1228.0')] ).

cnf(1582,plain,
    equal(index_75,index_15),
    inference(rew,[status(thm),theory(equality)],[1508,1576]),
    [iquote('0:Rew:1508.0,1576.0')] ).

cnf(1585,plain,
    equal(s(index_15),index_81),
    inference(rew,[status(thm),theory(equality)],[1582,1208]),
    [iquote('0:Rew:1582.0,1208.0')] ).

cnf(1591,plain,
    equal(index_81,index_135),
    inference(rew,[status(thm),theory(equality)],[1516,1585]),
    [iquote('0:Rew:1516.0,1585.0')] ).

cnf(1594,plain,
    equal(s(index_135),index_87),
    inference(rew,[status(thm),theory(equality)],[1591,1202]),
    [iquote('0:Rew:1591.0,1202.0')] ).

cnf(1600,plain,
    equal(index_87,index_9),
    inference(rew,[status(thm),theory(equality)],[1475,1594]),
    [iquote('0:Rew:1475.0,1594.0')] ).

cnf(1603,plain,
    equal(s(index_9),index_93),
    inference(rew,[status(thm),theory(equality)],[1600,1196]),
    [iquote('0:Rew:1600.0,1196.0')] ).

cnf(1609,plain,
    equal(index_93,index_15),
    inference(rew,[status(thm),theory(equality)],[1508,1603]),
    [iquote('0:Rew:1508.0,1603.0')] ).

cnf(1612,plain,
    equal(s(index_15),index_99),
    inference(rew,[status(thm),theory(equality)],[1609,1187]),
    [iquote('0:Rew:1609.0,1187.0')] ).

cnf(1619,plain,
    equal(index_135,index_99),
    inference(rew,[status(thm),theory(equality)],[1516,1612]),
    [iquote('0:Rew:1516.0,1612.0')] ).

cnf(1623,plain,
    equal(index_237,index_99),
    inference(rew,[status(thm),theory(equality)],[1619,1425]),
    [iquote('0:Rew:1619.0,1425.0')] ).

cnf(1625,plain,
    equal(index_255,index_99),
    inference(rew,[status(thm),theory(equality)],[1619,1458]),
    [iquote('0:Rew:1619.0,1458.0')] ).

cnf(1629,plain,
    equal(s(index_99),index_9),
    inference(rew,[status(thm),theory(equality)],[1619,1475]),
    [iquote('0:Rew:1619.0,1475.0')] ).

cnf(1632,plain,
    equal(index_21,index_99),
    inference(rew,[status(thm),theory(equality)],[1619,1509]),
    [iquote('0:Rew:1619.0,1509.0')] ).

cnf(1634,plain,
    equal(s(index_15),index_99),
    inference(rew,[status(thm),theory(equality)],[1619,1516]),
    [iquote('0:Rew:1619.0,1516.0')] ).

cnf(1635,plain,
    equal(index_39,index_99),
    inference(rew,[status(thm),theory(equality)],[1619,1537]),
    [iquote('0:Rew:1619.0,1537.0')] ).

cnf(1637,plain,
    equal(index_57,index_99),
    inference(rew,[status(thm),theory(equality)],[1619,1564]),
    [iquote('0:Rew:1619.0,1564.0')] ).

cnf(1639,plain,
    equal(index_81,index_99),
    inference(rew,[status(thm),theory(equality)],[1619,1591]),
    [iquote('0:Rew:1619.0,1591.0')] ).

cnf(1641,plain,
    equal(index_102,index_9),
    inference(rew,[status(thm),theory(equality)],[101,1629]),
    [iquote('0:Rew:101.0,1629.0')] ).

cnf(1642,plain,
    equal(s(index_99),index_9),
    inference(rew,[status(thm),theory(equality)],[1641,101]),
    [iquote('0:Rew:1641.0,101.0')] ).

cnf(1645,plain,
    equal(store(queue_101,tail,index_9),q24),
    inference(rew,[status(thm),theory(equality)],[1641,364]),
    [iquote('0:Rew:1641.0,364.0')] ).

cnf(1647,plain,
    equal(index_126,index_129),
    inference(rew,[status(thm),theory(equality)],[111,1094]),
    [iquote('0:Rew:111.0,1094.0')] ).

cnf(1648,plain,
    equal(s(index_123),index_129),
    inference(rew,[status(thm),theory(equality)],[1647,110]),
    [iquote('0:Rew:1647.0,110.0')] ).

cnf(1651,plain,
    equal(store(queue_125,tail,index_129),q28),
    inference(rew,[status(thm),theory(equality)],[1647,360]),
    [iquote('0:Rew:1647.0,360.0')] ).

cnf(1653,plain,
    equal(index_120,index_123),
    inference(rew,[status(thm),theory(equality)],[109,1095]),
    [iquote('0:Rew:109.0,1095.0')] ).

cnf(1654,plain,
    equal(s(index_117),index_123),
    inference(rew,[status(thm),theory(equality)],[1653,108]),
    [iquote('0:Rew:1653.0,108.0')] ).

cnf(1657,plain,
    equal(store(queue_119,tail,index_123),q27),
    inference(rew,[status(thm),theory(equality)],[1653,361]),
    [iquote('0:Rew:1653.0,361.0')] ).

cnf(1659,plain,
    equal(index_114,index_117),
    inference(rew,[status(thm),theory(equality)],[106,1096]),
    [iquote('0:Rew:106.0,1096.0')] ).

cnf(1660,plain,
    equal(s(index_111),index_117),
    inference(rew,[status(thm),theory(equality)],[1659,105]),
    [iquote('0:Rew:1659.0,105.0')] ).

cnf(1663,plain,
    equal(store(queue_113,tail,index_117),q26),
    inference(rew,[status(thm),theory(equality)],[1659,362]),
    [iquote('0:Rew:1659.0,362.0')] ).

cnf(1665,plain,
    equal(index_108,index_111),
    inference(rew,[status(thm),theory(equality)],[104,1097]),
    [iquote('0:Rew:104.0,1097.0')] ).

cnf(1666,plain,
    equal(s(index_105),index_111),
    inference(rew,[status(thm),theory(equality)],[1665,103]),
    [iquote('0:Rew:1665.0,103.0')] ).

cnf(1669,plain,
    equal(store(queue_107,tail,index_111),q25),
    inference(rew,[status(thm),theory(equality)],[1665,363]),
    [iquote('0:Rew:1665.0,363.0')] ).

cnf(1671,plain,
    equal(index_102,index_105),
    inference(rew,[status(thm),theory(equality)],[102,1098]),
    [iquote('0:Rew:102.0,1098.0')] ).

cnf(1672,plain,
    equal(index_105,index_9),
    inference(rew,[status(thm),theory(equality)],[1641,1671]),
    [iquote('0:Rew:1641.0,1671.0')] ).

cnf(1675,plain,
    equal(s(index_9),index_111),
    inference(rew,[status(thm),theory(equality)],[1672,1666]),
    [iquote('0:Rew:1672.0,1666.0')] ).

cnf(1678,plain,
    equal(index_15,index_111),
    inference(rew,[status(thm),theory(equality)],[1508,1675]),
    [iquote('0:Rew:1508.0,1675.0')] ).

cnf(1681,plain,
    equal(index_231,index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1494]),
    [iquote('0:Rew:1678.0,1494.0')] ).

cnf(1683,plain,
    equal(index_69,index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1498]),
    [iquote('0:Rew:1678.0,1498.0')] ).

cnf(1685,plain,
    equal(index_249,index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1503]),
    [iquote('0:Rew:1678.0,1503.0')] ).

cnf(1690,plain,
    equal(s(index_9),index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1508]),
    [iquote('0:Rew:1678.0,1508.0')] ).

cnf(1691,plain,
    equal(index_33,index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1528]),
    [iquote('0:Rew:1678.0,1528.0')] ).

cnf(1693,plain,
    equal(index_51,index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1555]),
    [iquote('0:Rew:1678.0,1555.0')] ).

cnf(1695,plain,
    equal(index_75,index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1582]),
    [iquote('0:Rew:1678.0,1582.0')] ).

cnf(1697,plain,
    equal(index_93,index_111),
    inference(rew,[status(thm),theory(equality)],[1678,1609]),
    [iquote('0:Rew:1678.0,1609.0')] ).

cnf(1701,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1678,1634]),
    [iquote('0:Rew:1678.0,1634.0')] ).

cnf(1702,plain,
    equal(index_117,index_99),
    inference(rew,[status(thm),theory(equality)],[1660,1701]),
    [iquote('0:Rew:1660.0,1701.0')] ).

cnf(1705,plain,
    equal(s(index_99),index_123),
    inference(rew,[status(thm),theory(equality)],[1702,1654]),
    [iquote('0:Rew:1702.0,1654.0')] ).

cnf(1709,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1702,1660]),
    [iquote('0:Rew:1702.0,1660.0')] ).

cnf(1712,plain,
    equal(index_123,index_9),
    inference(rew,[status(thm),theory(equality)],[1642,1705]),
    [iquote('0:Rew:1642.0,1705.0')] ).

cnf(1715,plain,
    equal(s(index_9),index_129),
    inference(rew,[status(thm),theory(equality)],[1712,1648]),
    [iquote('0:Rew:1712.0,1648.0')] ).

cnf(1721,plain,
    equal(index_129,index_111),
    inference(rew,[status(thm),theory(equality)],[1690,1715]),
    [iquote('0:Rew:1690.0,1715.0')] ).

cnf(1724,plain,
    equal(s(index_111),index_141),
    inference(rew,[status(thm),theory(equality)],[1721,1488]),
    [iquote('0:Rew:1721.0,1488.0')] ).

cnf(1730,plain,
    equal(index_141,index_99),
    inference(rew,[status(thm),theory(equality)],[1709,1724]),
    [iquote('0:Rew:1709.0,1724.0')] ).

cnf(1733,plain,
    equal(s(index_99),index_147),
    inference(rew,[status(thm),theory(equality)],[1730,1404]),
    [iquote('0:Rew:1730.0,1404.0')] ).

cnf(1739,plain,
    equal(index_147,index_9),
    inference(rew,[status(thm),theory(equality)],[1642,1733]),
    [iquote('0:Rew:1642.0,1733.0')] ).

cnf(1742,plain,
    equal(s(index_9),index_153),
    inference(rew,[status(thm),theory(equality)],[1739,1398]),
    [iquote('0:Rew:1739.0,1398.0')] ).

cnf(1748,plain,
    equal(index_153,index_111),
    inference(rew,[status(thm),theory(equality)],[1690,1742]),
    [iquote('0:Rew:1690.0,1742.0')] ).

cnf(1751,plain,
    equal(s(index_111),index_159),
    inference(rew,[status(thm),theory(equality)],[1748,1392]),
    [iquote('0:Rew:1748.0,1392.0')] ).

cnf(1757,plain,
    equal(index_159,index_99),
    inference(rew,[status(thm),theory(equality)],[1709,1751]),
    [iquote('0:Rew:1709.0,1751.0')] ).

cnf(1760,plain,
    equal(s(index_99),index_165),
    inference(rew,[status(thm),theory(equality)],[1757,1386]),
    [iquote('0:Rew:1757.0,1386.0')] ).

cnf(1766,plain,
    equal(index_165,index_9),
    inference(rew,[status(thm),theory(equality)],[1642,1760]),
    [iquote('0:Rew:1642.0,1760.0')] ).

cnf(1769,plain,
    equal(s(index_9),index_171),
    inference(rew,[status(thm),theory(equality)],[1766,1380]),
    [iquote('0:Rew:1766.0,1380.0')] ).

cnf(1775,plain,
    equal(index_171,index_111),
    inference(rew,[status(thm),theory(equality)],[1690,1769]),
    [iquote('0:Rew:1690.0,1769.0')] ).

cnf(1778,plain,
    equal(s(index_111),index_177),
    inference(rew,[status(thm),theory(equality)],[1775,1374]),
    [iquote('0:Rew:1775.0,1374.0')] ).

cnf(1784,plain,
    equal(index_177,index_99),
    inference(rew,[status(thm),theory(equality)],[1709,1778]),
    [iquote('0:Rew:1709.0,1778.0')] ).

cnf(1787,plain,
    equal(s(index_99),index_183),
    inference(rew,[status(thm),theory(equality)],[1784,1368]),
    [iquote('0:Rew:1784.0,1368.0')] ).

cnf(1793,plain,
    equal(index_183,index_9),
    inference(rew,[status(thm),theory(equality)],[1642,1787]),
    [iquote('0:Rew:1642.0,1787.0')] ).

cnf(1796,plain,
    equal(s(index_9),index_189),
    inference(rew,[status(thm),theory(equality)],[1793,1362]),
    [iquote('0:Rew:1793.0,1362.0')] ).

cnf(1802,plain,
    equal(index_189,index_111),
    inference(rew,[status(thm),theory(equality)],[1690,1796]),
    [iquote('0:Rew:1690.0,1796.0')] ).

cnf(1805,plain,
    equal(s(index_111),index_195),
    inference(rew,[status(thm),theory(equality)],[1802,1350]),
    [iquote('0:Rew:1802.0,1350.0')] ).

cnf(1811,plain,
    equal(index_195,index_99),
    inference(rew,[status(thm),theory(equality)],[1709,1805]),
    [iquote('0:Rew:1709.0,1805.0')] ).

cnf(1814,plain,
    equal(s(index_99),index_207),
    inference(rew,[status(thm),theory(equality)],[1811,1344]),
    [iquote('0:Rew:1811.0,1344.0')] ).

cnf(1820,plain,
    equal(index_207,index_9),
    inference(rew,[status(thm),theory(equality)],[1642,1814]),
    [iquote('0:Rew:1642.0,1814.0')] ).

cnf(1823,plain,
    equal(s(index_9),index_213),
    inference(rew,[status(thm),theory(equality)],[1820,1332]),
    [iquote('0:Rew:1820.0,1332.0')] ).

cnf(1829,plain,
    equal(index_213,index_111),
    inference(rew,[status(thm),theory(equality)],[1690,1823]),
    [iquote('0:Rew:1690.0,1823.0')] ).

cnf(1832,plain,
    equal(s(index_111),index_219),
    inference(rew,[status(thm),theory(equality)],[1829,1326]),
    [iquote('0:Rew:1829.0,1326.0')] ).

cnf(1838,plain,
    equal(index_219,index_99),
    inference(rew,[status(thm),theory(equality)],[1709,1832]),
    [iquote('0:Rew:1709.0,1832.0')] ).

cnf(1841,plain,
    equal(s(index_99),index_225),
    inference(rew,[status(thm),theory(equality)],[1838,1318]),
    [iquote('0:Rew:1838.0,1318.0')] ).

cnf(1848,plain,
    equal(index_225,index_9),
    inference(rew,[status(thm),theory(equality)],[1642,1841]),
    [iquote('0:Rew:1642.0,1841.0')] ).

cnf(1849,plain,
    equal(s(index_9),index_228),
    inference(rew,[status(thm),theory(equality)],[1848,147]),
    [iquote('0:Rew:1848.0,147.0')] ).

cnf(1853,plain,
    equal(store(earray_224,index_9,e42),earray_226),
    inference(rew,[status(thm),theory(equality)],[1848,59]),
    [iquote('0:Rew:1848.0,59.0')] ).

cnf(1858,plain,
    equal(index_228,index_111),
    inference(rew,[status(thm),theory(equality)],[1690,1849]),
    [iquote('0:Rew:1690.0,1849.0')] ).

cnf(1859,plain,
    equal(store(queue_227,tail,index_111),q43),
    inference(rew,[status(thm),theory(equality)],[1858,341]),
    [iquote('0:Rew:1858.0,341.0')] ).

cnf(1882,plain,
    equal(select(earray_226,index_9),e42),
    inference(rew,[status(thm),theory(equality)],[1848,1161]),
    [iquote('0:Rew:1848.0,1161.0')] ).

cnf(1926,plain,
    equal(select(earray_260,index_9),elem_265),
    inference(rew,[status(thm),theory(equality)],[1848,1314]),
    [iquote('0:Rew:1848.0,1314.0')] ).

cnf(1944,plain,
    equal(select(q0,tail),index_9),
    inference(rew,[status(thm),theory(equality)],[1468,1436]),
    [iquote('0:Rew:1468.0,1436.0')] ).

cnf(1962,plain,
    equal(store(queue_89,tail,index_111),q22),
    inference(rew,[status(thm),theory(equality)],[1697,1198]),
    [iquote('0:Rew:1697.0,1198.0')] ).

cnf(1963,plain,
    equal(store(queue_83,tail,index_9),q21),
    inference(rew,[status(thm),theory(equality)],[1600,1204]),
    [iquote('0:Rew:1600.0,1204.0')] ).

cnf(1964,plain,
    equal(store(queue_77,tail,index_99),q20),
    inference(rew,[status(thm),theory(equality)],[1639,1210]),
    [iquote('0:Rew:1639.0,1210.0')] ).

cnf(1965,plain,
    equal(store(queue_71,tail,index_99),q2),
    inference(rew,[status(thm),theory(equality)],[1619,1216]),
    [iquote('0:Rew:1619.0,1216.0')] ).

cnf(1966,plain,
    equal(store(queue_5,tail,index_111),q1),
    inference(rew,[status(thm),theory(equality)],[1683,1224]),
    [iquote('0:Rew:1683.0,1224.0')] ).

cnf(1967,plain,
    equal(store(queue_65,tail,index_111),q19),
    inference(rew,[status(thm),theory(equality)],[1695,1231]),
    [iquote('0:Rew:1695.0,1231.0')] ).

cnf(1968,plain,
    equal(store(queue_59,tail,index_9),q18),
    inference(rew,[status(thm),theory(equality)],[1573,1237]),
    [iquote('0:Rew:1573.0,1237.0')] ).

cnf(1969,plain,
    equal(store(queue_53,tail,index_99),q17),
    inference(rew,[status(thm),theory(equality)],[1637,1243]),
    [iquote('0:Rew:1637.0,1243.0')] ).

cnf(1970,plain,
    equal(store(queue_47,tail,index_111),q16),
    inference(rew,[status(thm),theory(equality)],[1693,1249]),
    [iquote('0:Rew:1693.0,1249.0')] ).

cnf(1971,plain,
    equal(store(queue_41,tail,index_9),q15),
    inference(rew,[status(thm),theory(equality)],[1546,1255]),
    [iquote('0:Rew:1546.0,1255.0')] ).

cnf(1972,plain,
    equal(store(queue_35,tail,index_99),q14),
    inference(rew,[status(thm),theory(equality)],[1635,1261]),
    [iquote('0:Rew:1635.0,1261.0')] ).

cnf(1973,plain,
    equal(store(queue_29,tail,index_111),q13),
    inference(rew,[status(thm),theory(equality)],[1691,1267]),
    [iquote('0:Rew:1691.0,1267.0')] ).

cnf(1974,plain,
    equal(store(queue_251,tail,index_99),q8),
    inference(rew,[status(thm),theory(equality)],[1625,1281]),
    [iquote('0:Rew:1625.0,1281.0')] ).

cnf(1975,plain,
    equal(store(queue_23,tail,index_9),q12),
    inference(rew,[status(thm),theory(equality)],[1519,1287]),
    [iquote('0:Rew:1519.0,1287.0')] ).

cnf(1976,plain,
    equal(store(queue_245,tail,index_111),q7),
    inference(rew,[status(thm),theory(equality)],[1685,1293]),
    [iquote('0:Rew:1685.0,1293.0')] ).

cnf(1977,plain,
    equal(store(queue_239,tail,index_9),q6),
    inference(rew,[status(thm),theory(equality)],[1479,1299]),
    [iquote('0:Rew:1479.0,1299.0')] ).

cnf(1978,plain,
    equal(store(queue_233,tail,index_99),q5),
    inference(rew,[status(thm),theory(equality)],[1623,1305]),
    [iquote('0:Rew:1623.0,1305.0')] ).

cnf(1979,plain,
    equal(store(queue_221,tail,index_9),q42),
    inference(rew,[status(thm),theory(equality)],[1848,1321]),
    [iquote('0:Rew:1848.0,1321.0')] ).

cnf(1980,plain,
    equal(store(queue_215,tail,index_99),q41),
    inference(rew,[status(thm),theory(equality)],[1838,1329]),
    [iquote('0:Rew:1838.0,1329.0')] ).

cnf(1981,plain,
    equal(store(queue_209,tail,index_111),q40),
    inference(rew,[status(thm),theory(equality)],[1829,1335]),
    [iquote('0:Rew:1829.0,1335.0')] ).

cnf(1982,plain,
    equal(store(queue_203,tail,index_111),q4),
    inference(rew,[status(thm),theory(equality)],[1681,1341]),
    [iquote('0:Rew:1681.0,1341.0')] ).

cnf(1983,plain,
    equal(store(queue_197,tail,index_9),q39),
    inference(rew,[status(thm),theory(equality)],[1820,1347]),
    [iquote('0:Rew:1820.0,1347.0')] ).

cnf(1984,plain,
    equal(store(queue_191,tail,index_99),q38),
    inference(rew,[status(thm),theory(equality)],[1811,1353]),
    [iquote('0:Rew:1811.0,1353.0')] ).

cnf(1985,plain,
    equal(store(queue_17,tail,index_99),q11),
    inference(rew,[status(thm),theory(equality)],[1632,1359]),
    [iquote('0:Rew:1632.0,1359.0')] ).

cnf(1986,plain,
    equal(store(queue_185,tail,index_111),q37),
    inference(rew,[status(thm),theory(equality)],[1802,1365]),
    [iquote('0:Rew:1802.0,1365.0')] ).

cnf(1987,plain,
    equal(store(queue_179,tail,index_9),q36),
    inference(rew,[status(thm),theory(equality)],[1793,1371]),
    [iquote('0:Rew:1793.0,1371.0')] ).

cnf(1988,plain,
    equal(store(queue_173,tail,index_99),q35),
    inference(rew,[status(thm),theory(equality)],[1784,1377]),
    [iquote('0:Rew:1784.0,1377.0')] ).

cnf(1989,plain,
    equal(store(queue_167,tail,index_111),q34),
    inference(rew,[status(thm),theory(equality)],[1775,1383]),
    [iquote('0:Rew:1775.0,1383.0')] ).

cnf(1990,plain,
    equal(store(queue_161,tail,index_9),q33),
    inference(rew,[status(thm),theory(equality)],[1766,1389]),
    [iquote('0:Rew:1766.0,1389.0')] ).

cnf(1991,plain,
    equal(store(queue_155,tail,index_99),q32),
    inference(rew,[status(thm),theory(equality)],[1757,1395]),
    [iquote('0:Rew:1757.0,1395.0')] ).

cnf(1992,plain,
    equal(store(queue_149,tail,index_111),q31),
    inference(rew,[status(thm),theory(equality)],[1748,1401]),
    [iquote('0:Rew:1748.0,1401.0')] ).

cnf(1993,plain,
    equal(store(queue_143,tail,index_9),q30),
    inference(rew,[status(thm),theory(equality)],[1739,1407]),
    [iquote('0:Rew:1739.0,1407.0')] ).

cnf(1994,plain,
    equal(store(queue_137,tail,index_9),q3),
    inference(rew,[status(thm),theory(equality)],[1468,1413]),
    [iquote('0:Rew:1468.0,1413.0')] ).

cnf(2001,plain,
    equal(store(queue_11,tail,index_111),q10),
    inference(rew,[status(thm),theory(equality)],[1681,1485]),
    [iquote('0:Rew:1681.0,1485.0')] ).

cnf(2002,plain,
    equal(store(queue_131,tail,index_99),q29),
    inference(rew,[status(thm),theory(equality)],[1730,1491]),
    [iquote('0:Rew:1730.0,1491.0')] ).

cnf(2012,plain,
    equal(store(queue_125,tail,index_111),q28),
    inference(rew,[status(thm),theory(equality)],[1721,1651]),
    [iquote('0:Rew:1721.0,1651.0')] ).

cnf(2013,plain,
    equal(store(queue_119,tail,index_9),q27),
    inference(rew,[status(thm),theory(equality)],[1712,1657]),
    [iquote('0:Rew:1712.0,1657.0')] ).

cnf(2014,plain,
    equal(store(queue_113,tail,index_99),q26),
    inference(rew,[status(thm),theory(equality)],[1702,1663]),
    [iquote('0:Rew:1702.0,1663.0')] ).

cnf(2445,plain,
    ( equal(seq,u)
    | equal(select(queue_95,u),select(q22,u)) ),
    inference(spr,[status(thm),theory(equality)],[275,2]),
    [iquote('0:SpR:275.0,2.1')] ).

cnf(2446,plain,
    ( equal(seq,u)
    | equal(select(queue_89,u),select(q21,u)) ),
    inference(spr,[status(thm),theory(equality)],[273,2]),
    [iquote('0:SpR:273.0,2.1')] ).

cnf(2447,plain,
    ( equal(seq,u)
    | equal(select(queue_83,u),select(q20,u)) ),
    inference(spr,[status(thm),theory(equality)],[271,2]),
    [iquote('0:SpR:271.0,2.1')] ).

cnf(2448,plain,
    ( equal(seq,u)
    | equal(select(queue_77,u),select(q19,u)) ),
    inference(spr,[status(thm),theory(equality)],[269,2]),
    [iquote('0:SpR:269.0,2.1')] ).

cnf(2449,plain,
    ( equal(seq,u)
    | equal(select(queue_71,u),select(q1,u)) ),
    inference(spr,[status(thm),theory(equality)],[267,2]),
    [iquote('0:SpR:267.0,2.1')] ).

cnf(2450,plain,
    ( equal(seq,u)
    | equal(select(queue_65,u),select(q18,u)) ),
    inference(spr,[status(thm),theory(equality)],[264,2]),
    [iquote('0:SpR:264.0,2.1')] ).

cnf(2451,plain,
    ( equal(seq,u)
    | equal(select(queue_59,u),select(q17,u)) ),
    inference(spr,[status(thm),theory(equality)],[262,2]),
    [iquote('0:SpR:262.0,2.1')] ).

cnf(2452,plain,
    ( equal(seq,u)
    | equal(select(queue_53,u),select(q16,u)) ),
    inference(spr,[status(thm),theory(equality)],[260,2]),
    [iquote('0:SpR:260.0,2.1')] ).

cnf(2453,plain,
    ( equal(seq,u)
    | equal(select(queue_5,u),select(q0,u)) ),
    inference(spr,[status(thm),theory(equality)],[259,2]),
    [iquote('0:SpR:259.0,2.1')] ).

cnf(2454,plain,
    ( equal(seq,u)
    | equal(select(queue_47,u),select(q15,u)) ),
    inference(spr,[status(thm),theory(equality)],[257,2]),
    [iquote('0:SpR:257.0,2.1')] ).

cnf(2455,plain,
    ( equal(seq,u)
    | equal(select(queue_41,u),select(q14,u)) ),
    inference(spr,[status(thm),theory(equality)],[255,2]),
    [iquote('0:SpR:255.0,2.1')] ).

cnf(2456,plain,
    ( equal(seq,u)
    | equal(select(queue_35,u),select(q13,u)) ),
    inference(spr,[status(thm),theory(equality)],[253,2]),
    [iquote('0:SpR:253.0,2.1')] ).

cnf(2457,plain,
    ( equal(seq,u)
    | equal(select(queue_29,u),select(q12,u)) ),
    inference(spr,[status(thm),theory(equality)],[251,2]),
    [iquote('0:SpR:251.0,2.1')] ).

cnf(2458,plain,
    ( equal(seq,u)
    | equal(select(queue_257,u),select(q8,u)) ),
    inference(spr,[status(thm),theory(equality)],[249,2]),
    [iquote('0:SpR:249.0,2.1')] ).

cnf(2459,plain,
    ( equal(seq,u)
    | equal(select(queue_251,u),select(q7,u)) ),
    inference(spr,[status(thm),theory(equality)],[247,2]),
    [iquote('0:SpR:247.0,2.1')] ).

cnf(2460,plain,
    ( equal(seq,u)
    | equal(select(queue_245,u),select(q6,u)) ),
    inference(spr,[status(thm),theory(equality)],[244,2]),
    [iquote('0:SpR:244.0,2.1')] ).

cnf(2461,plain,
    ( equal(seq,u)
    | equal(select(queue_239,u),select(q5,u)) ),
    inference(spr,[status(thm),theory(equality)],[242,2]),
    [iquote('0:SpR:242.0,2.1')] ).

cnf(2462,plain,
    ( equal(seq,u)
    | equal(select(queue_233,u),select(q4,u)) ),
    inference(spr,[status(thm),theory(equality)],[240,2]),
    [iquote('0:SpR:240.0,2.1')] ).

cnf(2463,plain,
    ( equal(seq,u)
    | equal(select(queue_23,u),select(q11,u)) ),
    inference(spr,[status(thm),theory(equality)],[239,2]),
    [iquote('0:SpR:239.0,2.1')] ).

cnf(2464,plain,
    ( equal(seq,u)
    | equal(select(queue_227,u),select(q42,u)) ),
    inference(spr,[status(thm),theory(equality)],[237,2]),
    [iquote('0:SpR:237.0,2.1')] ).

cnf(2465,plain,
    ( equal(seq,u)
    | equal(select(queue_221,u),select(q41,u)) ),
    inference(spr,[status(thm),theory(equality)],[235,2]),
    [iquote('0:SpR:235.0,2.1')] ).

cnf(2466,plain,
    ( equal(seq,u)
    | equal(select(queue_215,u),select(q40,u)) ),
    inference(spr,[status(thm),theory(equality)],[233,2]),
    [iquote('0:SpR:233.0,2.1')] ).

cnf(2467,plain,
    ( equal(seq,u)
    | equal(select(queue_209,u),select(q39,u)) ),
    inference(spr,[status(thm),theory(equality)],[231,2]),
    [iquote('0:SpR:231.0,2.1')] ).

cnf(2468,plain,
    ( equal(seq,u)
    | equal(select(queue_203,u),select(q3,u)) ),
    inference(spr,[status(thm),theory(equality)],[229,2]),
    [iquote('0:SpR:229.0,2.1')] ).

cnf(2469,plain,
    ( equal(seq,u)
    | equal(select(queue_197,u),select(q38,u)) ),
    inference(spr,[status(thm),theory(equality)],[227,2]),
    [iquote('0:SpR:227.0,2.1')] ).

cnf(2470,plain,
    ( equal(seq,u)
    | equal(select(queue_191,u),select(q37,u)) ),
    inference(spr,[status(thm),theory(equality)],[225,2]),
    [iquote('0:SpR:225.0,2.1')] ).

cnf(2471,plain,
    ( equal(seq,u)
    | equal(select(queue_185,u),select(q36,u)) ),
    inference(spr,[status(thm),theory(equality)],[222,2]),
    [iquote('0:SpR:222.0,2.1')] ).

cnf(2472,plain,
    ( equal(seq,u)
    | equal(select(queue_179,u),select(q35,u)) ),
    inference(spr,[status(thm),theory(equality)],[220,2]),
    [iquote('0:SpR:220.0,2.1')] ).

cnf(2473,plain,
    ( equal(seq,u)
    | equal(select(queue_173,u),select(q34,u)) ),
    inference(spr,[status(thm),theory(equality)],[218,2]),
    [iquote('0:SpR:218.0,2.1')] ).

cnf(2474,plain,
    ( equal(seq,u)
    | equal(select(queue_17,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[217,2]),
    [iquote('0:SpR:217.0,2.1')] ).

cnf(2475,plain,
    ( equal(seq,u)
    | equal(select(queue_167,u),select(q33,u)) ),
    inference(spr,[status(thm),theory(equality)],[215,2]),
    [iquote('0:SpR:215.0,2.1')] ).

cnf(2476,plain,
    ( equal(seq,u)
    | equal(select(queue_161,u),select(q32,u)) ),
    inference(spr,[status(thm),theory(equality)],[213,2]),
    [iquote('0:SpR:213.0,2.1')] ).

cnf(2477,plain,
    ( equal(seq,u)
    | equal(select(queue_155,u),select(q31,u)) ),
    inference(spr,[status(thm),theory(equality)],[211,2]),
    [iquote('0:SpR:211.0,2.1')] ).

cnf(2478,plain,
    ( equal(seq,u)
    | equal(select(queue_149,u),select(q30,u)) ),
    inference(spr,[status(thm),theory(equality)],[209,2]),
    [iquote('0:SpR:209.0,2.1')] ).

cnf(2479,plain,
    ( equal(seq,u)
    | equal(select(queue_143,u),select(q29,u)) ),
    inference(spr,[status(thm),theory(equality)],[207,2]),
    [iquote('0:SpR:207.0,2.1')] ).

cnf(2480,plain,
    ( equal(seq,u)
    | equal(select(queue_137,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[205,2]),
    [iquote('0:SpR:205.0,2.1')] ).

cnf(2481,plain,
    ( equal(seq,u)
    | equal(select(queue_131,u),select(q28,u)) ),
    inference(spr,[status(thm),theory(equality)],[203,2]),
    [iquote('0:SpR:203.0,2.1')] ).

cnf(2482,plain,
    ( equal(seq,u)
    | equal(select(queue_125,u),select(q27,u)) ),
    inference(spr,[status(thm),theory(equality)],[200,2]),
    [iquote('0:SpR:200.0,2.1')] ).

cnf(2483,plain,
    ( equal(seq,u)
    | equal(select(queue_119,u),select(q26,u)) ),
    inference(spr,[status(thm),theory(equality)],[198,2]),
    [iquote('0:SpR:198.0,2.1')] ).

cnf(2484,plain,
    ( equal(seq,u)
    | equal(select(queue_113,u),select(q25,u)) ),
    inference(spr,[status(thm),theory(equality)],[196,2]),
    [iquote('0:SpR:196.0,2.1')] ).

cnf(2485,plain,
    ( equal(seq,u)
    | equal(select(queue_11,u),select(q9,u)) ),
    inference(spr,[status(thm),theory(equality)],[195,2]),
    [iquote('0:SpR:195.0,2.1')] ).

cnf(2486,plain,
    ( equal(seq,u)
    | equal(select(queue_107,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[193,2]),
    [iquote('0:SpR:193.0,2.1')] ).

cnf(2487,plain,
    ( equal(seq,u)
    | equal(select(queue_101,u),select(q23,u)) ),
    inference(spr,[status(thm),theory(equality)],[191,2]),
    [iquote('0:SpR:191.0,2.1')] ).

cnf(2488,plain,
    ( equal(head,u)
    | equal(select(q,u),select(q0,u)) ),
    inference(spr,[status(thm),theory(equality)],[365,2]),
    [iquote('0:SpR:365.0,2.1')] ).

cnf(2531,plain,
    ( equal(index_9,u)
    | equal(select(earray_226,u),select(earray_224,u)) ),
    inference(spr,[status(thm),theory(equality)],[1853,2]),
    [iquote('0:SpR:1853.0,2.1')] ).

cnf(2532,plain,
    ( equal(tail,u)
    | equal(select(queue_95,u),select(q23,u)) ),
    inference(spr,[status(thm),theory(equality)],[1189,2]),
    [iquote('0:SpR:1189.0,2.1')] ).

cnf(2533,plain,
    ( equal(tail,u)
    | equal(select(queue_77,u),select(q20,u)) ),
    inference(spr,[status(thm),theory(equality)],[1964,2]),
    [iquote('0:SpR:1964.0,2.1')] ).

cnf(2534,plain,
    ( equal(tail,u)
    | equal(select(queue_71,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[1965,2]),
    [iquote('0:SpR:1965.0,2.1')] ).

cnf(2535,plain,
    ( equal(tail,u)
    | equal(select(queue_53,u),select(q17,u)) ),
    inference(spr,[status(thm),theory(equality)],[1969,2]),
    [iquote('0:SpR:1969.0,2.1')] ).

cnf(2536,plain,
    ( equal(tail,u)
    | equal(select(queue_35,u),select(q14,u)) ),
    inference(spr,[status(thm),theory(equality)],[1972,2]),
    [iquote('0:SpR:1972.0,2.1')] ).

cnf(2537,plain,
    ( equal(tail,u)
    | equal(select(queue_251,u),select(q8,u)) ),
    inference(spr,[status(thm),theory(equality)],[1974,2]),
    [iquote('0:SpR:1974.0,2.1')] ).

cnf(2538,plain,
    ( equal(tail,u)
    | equal(select(queue_233,u),select(q5,u)) ),
    inference(spr,[status(thm),theory(equality)],[1978,2]),
    [iquote('0:SpR:1978.0,2.1')] ).

cnf(2539,plain,
    ( equal(tail,u)
    | equal(select(queue_215,u),select(q41,u)) ),
    inference(spr,[status(thm),theory(equality)],[1980,2]),
    [iquote('0:SpR:1980.0,2.1')] ).

cnf(2540,plain,
    ( equal(tail,u)
    | equal(select(queue_191,u),select(q38,u)) ),
    inference(spr,[status(thm),theory(equality)],[1984,2]),
    [iquote('0:SpR:1984.0,2.1')] ).

cnf(2541,plain,
    ( equal(tail,u)
    | equal(select(queue_17,u),select(q11,u)) ),
    inference(spr,[status(thm),theory(equality)],[1985,2]),
    [iquote('0:SpR:1985.0,2.1')] ).

cnf(2542,plain,
    ( equal(tail,u)
    | equal(select(queue_173,u),select(q35,u)) ),
    inference(spr,[status(thm),theory(equality)],[1988,2]),
    [iquote('0:SpR:1988.0,2.1')] ).

cnf(2543,plain,
    ( equal(tail,u)
    | equal(select(queue_155,u),select(q32,u)) ),
    inference(spr,[status(thm),theory(equality)],[1991,2]),
    [iquote('0:SpR:1991.0,2.1')] ).

cnf(2544,plain,
    ( equal(tail,u)
    | equal(select(queue_131,u),select(q29,u)) ),
    inference(spr,[status(thm),theory(equality)],[2002,2]),
    [iquote('0:SpR:2002.0,2.1')] ).

cnf(2545,plain,
    ( equal(tail,u)
    | equal(select(queue_113,u),select(q26,u)) ),
    inference(spr,[status(thm),theory(equality)],[2014,2]),
    [iquote('0:SpR:2014.0,2.1')] ).

cnf(2546,plain,
    ( equal(tail,u)
    | equal(select(queue_89,u),select(q22,u)) ),
    inference(spr,[status(thm),theory(equality)],[1962,2]),
    [iquote('0:SpR:1962.0,2.1')] ).

cnf(2547,plain,
    ( equal(tail,u)
    | equal(select(queue_5,u),select(q1,u)) ),
    inference(spr,[status(thm),theory(equality)],[1966,2]),
    [iquote('0:SpR:1966.0,2.1')] ).

cnf(2548,plain,
    ( equal(tail,u)
    | equal(select(queue_65,u),select(q19,u)) ),
    inference(spr,[status(thm),theory(equality)],[1967,2]),
    [iquote('0:SpR:1967.0,2.1')] ).

cnf(2549,plain,
    ( equal(tail,u)
    | equal(select(queue_47,u),select(q16,u)) ),
    inference(spr,[status(thm),theory(equality)],[1970,2]),
    [iquote('0:SpR:1970.0,2.1')] ).

cnf(2550,plain,
    ( equal(tail,u)
    | equal(select(queue_29,u),select(q13,u)) ),
    inference(spr,[status(thm),theory(equality)],[1973,2]),
    [iquote('0:SpR:1973.0,2.1')] ).

cnf(2551,plain,
    ( equal(tail,u)
    | equal(select(queue_245,u),select(q7,u)) ),
    inference(spr,[status(thm),theory(equality)],[1976,2]),
    [iquote('0:SpR:1976.0,2.1')] ).

cnf(2552,plain,
    ( equal(tail,u)
    | equal(select(queue_209,u),select(q40,u)) ),
    inference(spr,[status(thm),theory(equality)],[1981,2]),
    [iquote('0:SpR:1981.0,2.1')] ).

cnf(2553,plain,
    ( equal(tail,u)
    | equal(select(queue_203,u),select(q4,u)) ),
    inference(spr,[status(thm),theory(equality)],[1982,2]),
    [iquote('0:SpR:1982.0,2.1')] ).

cnf(2554,plain,
    ( equal(tail,u)
    | equal(select(queue_185,u),select(q37,u)) ),
    inference(spr,[status(thm),theory(equality)],[1986,2]),
    [iquote('0:SpR:1986.0,2.1')] ).

cnf(2555,plain,
    ( equal(tail,u)
    | equal(select(queue_167,u),select(q34,u)) ),
    inference(spr,[status(thm),theory(equality)],[1989,2]),
    [iquote('0:SpR:1989.0,2.1')] ).

cnf(2556,plain,
    ( equal(tail,u)
    | equal(select(queue_149,u),select(q31,u)) ),
    inference(spr,[status(thm),theory(equality)],[1992,2]),
    [iquote('0:SpR:1992.0,2.1')] ).

cnf(2557,plain,
    ( equal(tail,u)
    | equal(select(queue_11,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[2001,2]),
    [iquote('0:SpR:2001.0,2.1')] ).

cnf(2558,plain,
    ( equal(tail,u)
    | equal(select(queue_125,u),select(q28,u)) ),
    inference(spr,[status(thm),theory(equality)],[2012,2]),
    [iquote('0:SpR:2012.0,2.1')] ).

cnf(2559,plain,
    ( equal(tail,u)
    | equal(select(queue_107,u),select(q25,u)) ),
    inference(spr,[status(thm),theory(equality)],[1669,2]),
    [iquote('0:SpR:1669.0,2.1')] ).

cnf(2560,plain,
    ( equal(tail,u)
    | equal(select(queue_227,u),select(q43,u)) ),
    inference(spr,[status(thm),theory(equality)],[1859,2]),
    [iquote('0:SpR:1859.0,2.1')] ).

cnf(2561,plain,
    ( equal(tail,u)
    | equal(select(queue_83,u),select(q21,u)) ),
    inference(spr,[status(thm),theory(equality)],[1963,2]),
    [iquote('0:SpR:1963.0,2.1')] ).

cnf(2562,plain,
    ( equal(tail,u)
    | equal(select(queue_59,u),select(q18,u)) ),
    inference(spr,[status(thm),theory(equality)],[1968,2]),
    [iquote('0:SpR:1968.0,2.1')] ).

cnf(2563,plain,
    ( equal(tail,u)
    | equal(select(queue_41,u),select(q15,u)) ),
    inference(spr,[status(thm),theory(equality)],[1971,2]),
    [iquote('0:SpR:1971.0,2.1')] ).

cnf(2564,plain,
    ( equal(tail,u)
    | equal(select(queue_257,u),select(q9,u)) ),
    inference(spr,[status(thm),theory(equality)],[1273,2]),
    [iquote('0:SpR:1273.0,2.1')] ).

cnf(2565,plain,
    ( equal(tail,u)
    | equal(select(queue_23,u),select(q12,u)) ),
    inference(spr,[status(thm),theory(equality)],[1975,2]),
    [iquote('0:SpR:1975.0,2.1')] ).

cnf(2566,plain,
    ( equal(tail,u)
    | equal(select(queue_239,u),select(q6,u)) ),
    inference(spr,[status(thm),theory(equality)],[1977,2]),
    [iquote('0:SpR:1977.0,2.1')] ).

cnf(2567,plain,
    ( equal(tail,u)
    | equal(select(queue_221,u),select(q42,u)) ),
    inference(spr,[status(thm),theory(equality)],[1979,2]),
    [iquote('0:SpR:1979.0,2.1')] ).

cnf(2568,plain,
    ( equal(tail,u)
    | equal(select(queue_197,u),select(q39,u)) ),
    inference(spr,[status(thm),theory(equality)],[1983,2]),
    [iquote('0:SpR:1983.0,2.1')] ).

cnf(2569,plain,
    ( equal(tail,u)
    | equal(select(queue_179,u),select(q36,u)) ),
    inference(spr,[status(thm),theory(equality)],[1987,2]),
    [iquote('0:SpR:1987.0,2.1')] ).

cnf(2570,plain,
    ( equal(tail,u)
    | equal(select(queue_161,u),select(q33,u)) ),
    inference(spr,[status(thm),theory(equality)],[1990,2]),
    [iquote('0:SpR:1990.0,2.1')] ).

cnf(2571,plain,
    ( equal(tail,u)
    | equal(select(queue_143,u),select(q30,u)) ),
    inference(spr,[status(thm),theory(equality)],[1993,2]),
    [iquote('0:SpR:1993.0,2.1')] ).

cnf(2572,plain,
    ( equal(tail,u)
    | equal(select(queue_137,u),select(q3,u)) ),
    inference(spr,[status(thm),theory(equality)],[1994,2]),
    [iquote('0:SpR:1994.0,2.1')] ).

cnf(2573,plain,
    ( equal(tail,u)
    | equal(select(queue_101,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[1645,2]),
    [iquote('0:SpR:1645.0,2.1')] ).

cnf(2574,plain,
    ( equal(tail,u)
    | equal(select(queue_119,u),select(q27,u)) ),
    inference(spr,[status(thm),theory(equality)],[2013,2]),
    [iquote('0:SpR:2013.0,2.1')] ).

cnf(2663,plain,
    ( equal(tail,head)
    | equal(select(q0,tail),index_0) ),
    inference(spr,[status(thm),theory(equality)],[2488,100]),
    [iquote('0:SpR:2488.1,100.0')] ).

cnf(2665,plain,
    ( equal(tail,head)
    | equal(index_0,index_9) ),
    inference(rew,[status(thm),theory(equality)],[1944,2663]),
    [iquote('0:Rew:1944.0,2663.1')] ).

cnf(2666,plain,
    equal(index_0,index_9),
    inference(mrr,[status(thm)],[2665,3]),
    [iquote('0:MRR:2665.0,3.0')] ).

cnf(2669,plain,
    equal(select(q0,head),index_9),
    inference(rew,[status(thm),theory(equality)],[2666,1142]),
    [iquote('0:Rew:2666.0,1142.0')] ).

cnf(2762,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q22,u)) ),
    inference(spr,[status(thm),theory(equality)],[2532,2445]),
    [iquote('0:SpR:2532.1,2445.1')] ).

cnf(2786,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q20,u),select(q19,u)) ),
    inference(spr,[status(thm),theory(equality)],[2533,2448]),
    [iquote('0:SpR:2533.1,2448.1')] ).

cnf(2799,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q1,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[2534,2449]),
    [iquote('0:SpR:2534.1,2449.1')] ).

cnf(2820,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q17,u),select(q16,u)) ),
    inference(spr,[status(thm),theory(equality)],[2535,2452]),
    [iquote('0:SpR:2535.1,2452.1')] ).

cnf(2833,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q14,u),select(q13,u)) ),
    inference(spr,[status(thm),theory(equality)],[2536,2456]),
    [iquote('0:SpR:2536.1,2456.1')] ).

cnf(2846,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q8,u),select(q7,u)) ),
    inference(spr,[status(thm),theory(equality)],[2537,2459]),
    [iquote('0:SpR:2537.1,2459.1')] ).

cnf(2859,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q5,u),select(q4,u)) ),
    inference(spr,[status(thm),theory(equality)],[2538,2462]),
    [iquote('0:SpR:2538.1,2462.1')] ).

cnf(2872,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q41,u),select(q40,u)) ),
    inference(spr,[status(thm),theory(equality)],[2539,2466]),
    [iquote('0:SpR:2539.1,2466.1')] ).

cnf(2885,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q38,u),select(q37,u)) ),
    inference(spr,[status(thm),theory(equality)],[2540,2470]),
    [iquote('0:SpR:2540.1,2470.1')] ).

cnf(2898,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q11,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[2541,2474]),
    [iquote('0:SpR:2541.1,2474.1')] ).

cnf(2911,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q35,u),select(q34,u)) ),
    inference(spr,[status(thm),theory(equality)],[2542,2473]),
    [iquote('0:SpR:2542.1,2473.1')] ).

cnf(2924,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q32,u),select(q31,u)) ),
    inference(spr,[status(thm),theory(equality)],[2543,2477]),
    [iquote('0:SpR:2543.1,2477.1')] ).

cnf(2937,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q29,u),select(q28,u)) ),
    inference(spr,[status(thm),theory(equality)],[2544,2481]),
    [iquote('0:SpR:2544.1,2481.1')] ).

cnf(2950,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q26,u),select(q25,u)) ),
    inference(spr,[status(thm),theory(equality)],[2545,2484]),
    [iquote('0:SpR:2545.1,2484.1')] ).

cnf(2963,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q22,u),select(q21,u)) ),
    inference(spr,[status(thm),theory(equality)],[2546,2446]),
    [iquote('0:SpR:2546.1,2446.1')] ).

cnf(2970,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q21,u)) ),
    inference(rew,[status(thm),theory(equality)],[2963,2762]),
    [iquote('0:Rew:2963.2,2762.2')] ).

cnf(2977,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q1,u),select(q0,u)) ),
    inference(spr,[status(thm),theory(equality)],[2547,2453]),
    [iquote('0:SpR:2547.1,2453.1')] ).

cnf(2984,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q0,u),select(q2,u)) ),
    inference(rew,[status(thm),theory(equality)],[2799,2977]),
    [iquote('0:Rew:2799.2,2977.2')] ).

cnf(2991,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q19,u),select(q18,u)) ),
    inference(spr,[status(thm),theory(equality)],[2548,2450]),
    [iquote('0:SpR:2548.1,2450.1')] ).

cnf(2998,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q20,u),select(q18,u)) ),
    inference(rew,[status(thm),theory(equality)],[2991,2786]),
    [iquote('0:Rew:2991.2,2786.2')] ).

cnf(3005,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q16,u),select(q15,u)) ),
    inference(spr,[status(thm),theory(equality)],[2549,2454]),
    [iquote('0:SpR:2549.1,2454.1')] ).

cnf(3012,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q17,u),select(q15,u)) ),
    inference(rew,[status(thm),theory(equality)],[3005,2820]),
    [iquote('0:Rew:3005.2,2820.2')] ).

cnf(3019,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q13,u),select(q12,u)) ),
    inference(spr,[status(thm),theory(equality)],[2550,2457]),
    [iquote('0:SpR:2550.1,2457.1')] ).

cnf(3026,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q14,u),select(q12,u)) ),
    inference(rew,[status(thm),theory(equality)],[3019,2833]),
    [iquote('0:Rew:3019.2,2833.2')] ).

cnf(3033,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q7,u),select(q6,u)) ),
    inference(spr,[status(thm),theory(equality)],[2551,2460]),
    [iquote('0:SpR:2551.1,2460.1')] ).

cnf(3040,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q8,u),select(q6,u)) ),
    inference(rew,[status(thm),theory(equality)],[3033,2846]),
    [iquote('0:Rew:3033.2,2846.2')] ).

cnf(3047,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q40,u),select(q39,u)) ),
    inference(spr,[status(thm),theory(equality)],[2552,2467]),
    [iquote('0:SpR:2552.1,2467.1')] ).

cnf(3054,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q41,u),select(q39,u)) ),
    inference(rew,[status(thm),theory(equality)],[3047,2872]),
    [iquote('0:Rew:3047.2,2872.2')] ).

cnf(3061,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q4,u),select(q3,u)) ),
    inference(spr,[status(thm),theory(equality)],[2553,2468]),
    [iquote('0:SpR:2553.1,2468.1')] ).

cnf(3068,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q5,u),select(q3,u)) ),
    inference(rew,[status(thm),theory(equality)],[3061,2859]),
    [iquote('0:Rew:3061.2,2859.2')] ).

cnf(3075,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q37,u),select(q36,u)) ),
    inference(spr,[status(thm),theory(equality)],[2554,2471]),
    [iquote('0:SpR:2554.1,2471.1')] ).

cnf(3082,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q38,u),select(q36,u)) ),
    inference(rew,[status(thm),theory(equality)],[3075,2885]),
    [iquote('0:Rew:3075.2,2885.2')] ).

cnf(3089,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q34,u),select(q33,u)) ),
    inference(spr,[status(thm),theory(equality)],[2555,2475]),
    [iquote('0:SpR:2555.1,2475.1')] ).

cnf(3096,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q35,u),select(q33,u)) ),
    inference(rew,[status(thm),theory(equality)],[3089,2911]),
    [iquote('0:Rew:3089.2,2911.2')] ).

cnf(3103,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q31,u),select(q30,u)) ),
    inference(spr,[status(thm),theory(equality)],[2556,2478]),
    [iquote('0:SpR:2556.1,2478.1')] ).

cnf(3110,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q32,u),select(q30,u)) ),
    inference(rew,[status(thm),theory(equality)],[3103,2924]),
    [iquote('0:Rew:3103.2,2924.2')] ).

cnf(3117,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q9,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[2557,2485]),
    [iquote('0:SpR:2557.1,2485.1')] ).

cnf(3130,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q28,u),select(q27,u)) ),
    inference(spr,[status(thm),theory(equality)],[2558,2482]),
    [iquote('0:SpR:2558.1,2482.1')] ).

cnf(3137,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q29,u),select(q27,u)) ),
    inference(rew,[status(thm),theory(equality)],[3130,2937]),
    [iquote('0:Rew:3130.2,2937.2')] ).

cnf(3144,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q25,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[2559,2486]),
    [iquote('0:SpR:2559.1,2486.1')] ).

cnf(3151,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q26,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3144,2950]),
    [iquote('0:Rew:3144.2,2950.2')] ).

cnf(3157,plain,
    ( equal(seq,tail)
    | equal(select(q43,seq),earray_226) ),
    inference(spr,[status(thm),theory(equality)],[2560,1118]),
    [iquote('0:SpR:2560.1,1118.0')] ).

cnf(3158,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q42,u)) ),
    inference(spr,[status(thm),theory(equality)],[2560,2464]),
    [iquote('0:SpR:2560.1,2464.1')] ).

cnf(3160,plain,
    ( equal(seq,tail)
    | equal(earray_260,earray_226) ),
    inference(rew,[status(thm),theory(equality)],[71,3157]),
    [iquote('0:Rew:71.0,3157.1')] ).

cnf(3161,plain,
    equal(earray_260,earray_226),
    inference(mrr,[status(thm)],[3160,5]),
    [iquote('0:MRR:3160.0,5.0')] ).

cnf(3162,plain,
    equal(select(earray_226,index_261),elem_262),
    inference(rew,[status(thm),theory(equality)],[3161,98]),
    [iquote('0:Rew:3161.0,98.0')] ).

cnf(3164,plain,
    equal(select(earray_226,index_9),elem_265),
    inference(rew,[status(thm),theory(equality)],[3161,1926]),
    [iquote('0:Rew:3161.0,1926.0')] ).

cnf(3165,plain,
    equal(elem_265,e42),
    inference(rew,[status(thm),theory(equality)],[1882,3164]),
    [iquote('0:Rew:1882.0,3164.0')] ).

cnf(3166,plain,
    ~ equal(elem_262,e42),
    inference(rew,[status(thm),theory(equality)],[3165,321]),
    [iquote('0:Rew:3165.0,321.0')] ).

cnf(3171,plain,
    ( equal(index_261,index_9)
    | equal(select(earray_224,index_261),elem_262) ),
    inference(spr,[status(thm),theory(equality)],[3162,2531]),
    [iquote('0:SpR:3162.0,2531.1')] ).

cnf(3174,plain,
    equal(index_261,index_9),
    inference(spt,[spt(split,[position(s1)])],[3171]),
    [iquote('1:Spt:3171.0')] ).

cnf(3176,plain,
    equal(select(earray_226,index_9),elem_262),
    inference(rew,[status(thm),theory(equality)],[3174,3162]),
    [iquote('1:Rew:3174.0,3162.0')] ).

cnf(3177,plain,
    equal(elem_262,e42),
    inference(rew,[status(thm),theory(equality)],[1882,3176]),
    [iquote('1:Rew:1882.0,3176.0')] ).

cnf(3178,plain,
    $false,
    inference(mrr,[status(thm)],[3177,3166]),
    [iquote('1:MRR:3177.0,3166.0')] ).

cnf(3179,plain,
    ~ equal(index_261,index_9),
    inference(spt,[spt(split,[position(sa)])],[3178,3174]),
    [iquote('1:Spt:3178.0,3171.0,3174.0')] ).

cnf(3180,plain,
    equal(select(earray_224,index_261),elem_262),
    inference(spt,[spt(split,[position(s2)])],[3171]),
    [iquote('1:Spt:3178.0,3171.1')] ).

cnf(3186,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q21,u),select(q20,u)) ),
    inference(spr,[status(thm),theory(equality)],[2561,2447]),
    [iquote('0:SpR:2561.1,2447.1')] ).

cnf(3193,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q21,u),select(q18,u)) ),
    inference(rew,[status(thm),theory(equality)],[2998,3186]),
    [iquote('0:Rew:2998.2,3186.2')] ).

cnf(3195,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q18,u)) ),
    inference(rew,[status(thm),theory(equality)],[3193,2970]),
    [iquote('0:Rew:3193.2,2970.2')] ).

cnf(3202,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q18,u),select(q17,u)) ),
    inference(spr,[status(thm),theory(equality)],[2562,2451]),
    [iquote('0:SpR:2562.1,2451.1')] ).

cnf(3209,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q18,u),select(q15,u)) ),
    inference(rew,[status(thm),theory(equality)],[3012,3202]),
    [iquote('0:Rew:3012.2,3202.2')] ).

cnf(3214,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q15,u)) ),
    inference(rew,[status(thm),theory(equality)],[3209,3195]),
    [iquote('0:Rew:3209.2,3195.2')] ).

cnf(3221,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q15,u),select(q14,u)) ),
    inference(spr,[status(thm),theory(equality)],[2563,2455]),
    [iquote('0:SpR:2563.1,2455.1')] ).

cnf(3228,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q15,u),select(q12,u)) ),
    inference(rew,[status(thm),theory(equality)],[3026,3221]),
    [iquote('0:Rew:3026.2,3221.2')] ).

cnf(3236,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q12,u)) ),
    inference(rew,[status(thm),theory(equality)],[3228,3214]),
    [iquote('0:Rew:3228.2,3214.2')] ).

cnf(3243,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q9,u),select(q8,u)) ),
    inference(spr,[status(thm),theory(equality)],[2564,2458]),
    [iquote('0:SpR:2564.1,2458.1')] ).

cnf(3252,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q6,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[3117,3243,3040]),
    [iquote('0:Rew:3117.2,3243.2,3040.2,3243.2')] ).

cnf(3270,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q12,u),select(q11,u)) ),
    inference(spr,[status(thm),theory(equality)],[2565,2463]),
    [iquote('0:SpR:2565.1,2463.1')] ).

cnf(3277,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q12,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[2898,3270]),
    [iquote('0:Rew:2898.2,3270.2')] ).

cnf(3288,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[3277,3236]),
    [iquote('0:Rew:3277.2,3236.2')] ).

cnf(3295,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q6,u),select(q5,u)) ),
    inference(spr,[status(thm),theory(equality)],[2566,2461]),
    [iquote('0:SpR:2566.1,2461.1')] ).

cnf(3302,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q3,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[3252,3295,3068]),
    [iquote('0:Rew:3252.2,3295.2,3068.2,3295.2')] ).

cnf(3311,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q42,u),select(q41,u)) ),
    inference(spr,[status(thm),theory(equality)],[2567,2465]),
    [iquote('0:SpR:2567.1,2465.1')] ).

cnf(3319,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q42,u),select(q39,u)) ),
    inference(rew,[status(thm),theory(equality)],[3054,3311]),
    [iquote('0:Rew:3054.2,3311.2')] ).

cnf(3320,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q39,u)) ),
    inference(rew,[status(thm),theory(equality)],[3319,3158]),
    [iquote('0:Rew:3319.2,3158.2')] ).

cnf(3328,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q39,u),select(q38,u)) ),
    inference(spr,[status(thm),theory(equality)],[2568,2469]),
    [iquote('0:SpR:2568.1,2469.1')] ).

cnf(3335,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q39,u),select(q36,u)) ),
    inference(rew,[status(thm),theory(equality)],[3082,3328]),
    [iquote('0:Rew:3082.2,3328.2')] ).

cnf(3339,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q36,u)) ),
    inference(rew,[status(thm),theory(equality)],[3335,3320]),
    [iquote('0:Rew:3335.2,3320.2')] ).

cnf(3346,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q36,u),select(q35,u)) ),
    inference(spr,[status(thm),theory(equality)],[2569,2472]),
    [iquote('0:SpR:2569.1,2472.1')] ).

cnf(3353,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q36,u),select(q33,u)) ),
    inference(rew,[status(thm),theory(equality)],[3096,3346]),
    [iquote('0:Rew:3096.2,3346.2')] ).

cnf(3360,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q33,u)) ),
    inference(rew,[status(thm),theory(equality)],[3353,3339]),
    [iquote('0:Rew:3353.2,3339.2')] ).

cnf(3367,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q33,u),select(q32,u)) ),
    inference(spr,[status(thm),theory(equality)],[2570,2476]),
    [iquote('0:SpR:2570.1,2476.1')] ).

cnf(3374,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q33,u),select(q30,u)) ),
    inference(rew,[status(thm),theory(equality)],[3110,3367]),
    [iquote('0:Rew:3110.2,3367.2')] ).

cnf(3384,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q30,u)) ),
    inference(rew,[status(thm),theory(equality)],[3374,3360]),
    [iquote('0:Rew:3374.2,3360.2')] ).

cnf(3391,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q30,u),select(q29,u)) ),
    inference(spr,[status(thm),theory(equality)],[2571,2479]),
    [iquote('0:SpR:2571.1,2479.1')] ).

cnf(3398,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q30,u),select(q27,u)) ),
    inference(rew,[status(thm),theory(equality)],[3137,3391]),
    [iquote('0:Rew:3137.2,3391.2')] ).

cnf(3411,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q27,u)) ),
    inference(rew,[status(thm),theory(equality)],[3398,3384]),
    [iquote('0:Rew:3398.2,3384.2')] ).

cnf(3418,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q3,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[2572,2480]),
    [iquote('0:SpR:2572.1,2480.1')] ).

cnf(3425,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q10,u),select(q2,u)) ),
    inference(rew,[status(thm),theory(equality)],[3302,3418]),
    [iquote('0:Rew:3302.2,3418.2')] ).

cnf(3442,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q2,u)) ),
    inference(rew,[status(thm),theory(equality)],[3425,3288]),
    [iquote('0:Rew:3425.2,3288.2')] ).

cnf(3452,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[2573,2487]),
    [iquote('0:SpR:2573.1,2487.1')] ).

cnf(3459,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q2,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3442,3452]),
    [iquote('0:Rew:3442.2,3452.2')] ).

cnf(3461,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q0,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3459,2984]),
    [iquote('0:Rew:3459.2,2984.2')] ).

cnf(3489,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q27,u),select(q26,u)) ),
    inference(spr,[status(thm),theory(equality)],[2574,2483]),
    [iquote('0:SpR:2574.1,2483.1')] ).

cnf(3496,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q27,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3151,3489]),
    [iquote('0:Rew:3151.2,3489.2')] ).

cnf(3512,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3496,3411]),
    [iquote('0:Rew:3496.2,3411.2')] ).

cnf(3644,plain,
    ( equal(tail,head)
    | equal(seq,head)
    | equal(select(q24,head),index_9) ),
    inference(spr,[status(thm),theory(equality)],[3461,2669]),
    [iquote('0:SpR:3461.2,2669.0')] ).

cnf(3647,plain,
    equal(select(q24,head),index_9),
    inference(mrr,[status(thm)],[3644,3,4]),
    [iquote('0:MRR:3644.0,3644.1,3.0,4.0')] ).

cnf(3773,plain,
    ( equal(tail,head)
    | equal(seq,head)
    | equal(select(q24,head),index_261) ),
    inference(spr,[status(thm),theory(equality)],[159,3512]),
    [iquote('0:SpR:159.0,3512.2')] ).

cnf(3774,plain,
    ( equal(tail,head)
    | equal(seq,head)
    | equal(index_261,index_9) ),
    inference(rew,[status(thm),theory(equality)],[3647,3773]),
    [iquote('0:Rew:3647.0,3773.2')] ).

cnf(3775,plain,
    $false,
    inference(mrr,[status(thm)],[3774,3,4,3179]),
    [iquote('1:MRR:3774.0,3774.1,3774.2,3.0,4.0,3179.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV571-1.043 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 09:57:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.15/1.35  
% 1.15/1.35  SPASS V 3.9 
% 1.15/1.35  SPASS beiseite: Proof found.
% 1.15/1.35  % SZS status Theorem
% 1.15/1.35  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.15/1.35  SPASS derived 2966 clauses, backtracked 13 clauses, performed 2 splits and kept 1566 clauses.
% 1.15/1.35  SPASS allocated 65440 KBytes.
% 1.15/1.35  SPASS spent	0:00:01.01 on the problem.
% 1.15/1.35  		0:00:00.04 for the input.
% 1.15/1.35  		0:00:00.00 for the FLOTTER CNF translation.
% 1.15/1.35  		0:00:00.07 for inferences.
% 1.15/1.35  		0:00:00.00 for the backtracking.
% 1.15/1.35  		0:00:00.77 for the reduction.
% 1.15/1.35  
% 1.15/1.35  
% 1.15/1.35  Here is a proof with depth 3, length 807 :
% 1.15/1.35  % SZS output start Refutation
% See solution above
% 1.15/1.36  Formulae used in the proof : a1 a2 head_distinct_from_tail head_distinct_from_seq tail_distinct_from_seq ps circular hyp48 hyp60 hyp87 hyp88 hyp89 hyp90 hyp91 hyp92 hyp93 hyp94 hyp95 hyp96 hyp97 hyp98 hyp99 hyp100 hyp101 hyp102 hyp103 hyp104 hyp105 hyp106 hyp107 hyp108 hyp109 hyp110 hyp111 hyp112 hyp113 hyp114 hyp115 hyp116 hyp117 hyp118 hyp119 hyp120 hyp121 hyp122 hyp123 hyp124 hyp125 hyp126 hyp127 hyp128 hyp129 hyp130 hyp131 hyp132 hyp133 hyp134 hyp135 hyp136 hyp137 hyp138 hyp139 hyp140 hyp141 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 goal
% 1.21/1.42  
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