TSTP Solution File: SWV570-1.049 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV570-1.049 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 21:44:23 EDT 2022

% Result   : Unsatisfiable 0.78s 0.96s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   81
%            Number of leaves      :  261
% Syntax   : Number of clauses     :  891 ( 891 unt;   0 nHn; 891 RR)
%            Number of literals    :  891 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  314 ( 314 usr; 306 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    equal(rselect_head(rstore_head(u,v)),v),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(5,axiom,
    equal(rselect_tail(rstore_tail(u,v)),v),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(8,axiom,
    equal(rselect_head(rstore_tail(u,v)),rselect_head(u)),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(9,axiom,
    equal(rselect_head(rstore_seq(u,v)),rselect_head(u)),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(11,axiom,
    equal(rselect_tail(rstore_head(u,v)),rselect_tail(u)),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(12,axiom,
    equal(p(s(u)),u),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(16,axiom,
    equal(s(s(s(u))),u),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(116,axiom,
    equal(select(earray_296,index_297),elem_298),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(117,axiom,
    equal(select(earray_296,index_300),elem_301),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(118,axiom,
    equal(rselect_tail(q),index_0),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(119,axiom,
    equal(s(index_99),index_102),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(120,axiom,
    equal(rselect_tail(q24),index_105),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(121,axiom,
    equal(s(index_105),index_108),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(122,axiom,
    equal(rselect_tail(q25),index_111),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(123,axiom,
    equal(s(index_111),index_114),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(124,axiom,
    equal(rselect_tail(q26),index_117),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(125,axiom,
    equal(s(index_9),index_12),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(126,axiom,
    equal(s(index_117),index_120),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(127,axiom,
    equal(rselect_tail(q27),index_123),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(128,axiom,
    equal(s(index_123),index_126),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(129,axiom,
    equal(rselect_tail(q28),index_129),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(130,axiom,
    equal(s(index_129),index_132),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(131,axiom,
    equal(rselect_tail(q2),index_135),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(132,axiom,
    equal(s(index_135),index_138),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(133,axiom,
    equal(rselect_tail(q29),index_141),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(134,axiom,
    equal(s(index_141),index_144),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(135,axiom,
    equal(rselect_tail(q30),index_147),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(136,axiom,
    equal(rselect_tail(q10),index_15),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(137,axiom,
    equal(s(index_147),index_150),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(138,axiom,
    equal(rselect_tail(q31),index_153),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(139,axiom,
    equal(s(index_153),index_156),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(140,axiom,
    equal(rselect_tail(q32),index_159),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(141,axiom,
    equal(s(index_159),index_162),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(142,axiom,
    equal(rselect_tail(q33),index_165),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(143,axiom,
    equal(s(index_165),index_168),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(144,axiom,
    equal(rselect_tail(q34),index_171),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(145,axiom,
    equal(s(index_171),index_174),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(146,axiom,
    equal(rselect_tail(q35),index_177),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(147,axiom,
    equal(s(index_15),index_18),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(148,axiom,
    equal(s(index_177),index_180),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(149,axiom,
    equal(rselect_tail(q36),index_183),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(150,axiom,
    equal(s(index_183),index_186),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(151,axiom,
    equal(rselect_tail(q37),index_189),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(152,axiom,
    equal(s(index_189),index_192),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(153,axiom,
    equal(rselect_tail(q38),index_195),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(154,axiom,
    equal(s(index_195),index_198),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(155,axiom,
    equal(rselect_tail(q3),index_201),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(156,axiom,
    equal(s(index_201),index_204),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(157,axiom,
    equal(rselect_tail(q39),index_207),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(158,axiom,
    equal(rselect_tail(q11),index_21),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(159,axiom,
    equal(s(index_207),index_210),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(160,axiom,
    equal(rselect_tail(q40),index_213),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(161,axiom,
    equal(s(index_213),index_216),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(162,axiom,
    equal(rselect_tail(q41),index_219),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(163,axiom,
    equal(s(index_219),index_222),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(164,axiom,
    equal(rselect_tail(q42),index_225),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(165,axiom,
    equal(s(index_225),index_228),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(166,axiom,
    equal(rselect_tail(q43),index_231),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(167,axiom,
    equal(s(index_231),index_234),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(168,axiom,
    equal(rselect_tail(q44),index_237),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(169,axiom,
    equal(s(index_21),index_24),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(170,axiom,
    equal(s(index_237),index_240),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(171,axiom,
    equal(rselect_tail(q45),index_243),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(172,axiom,
    equal(s(index_243),index_246),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(173,axiom,
    equal(rselect_tail(q46),index_249),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(174,axiom,
    equal(s(index_249),index_252),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(175,axiom,
    equal(rselect_tail(q47),index_255),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(176,axiom,
    equal(s(index_255),index_258),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(177,axiom,
    equal(rselect_tail(q48),index_261),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(178,axiom,
    equal(s(index_261),index_264),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(179,axiom,
    equal(rselect_tail(q4),index_267),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(180,axiom,
    equal(rselect_tail(q12),index_27),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(181,axiom,
    equal(s(index_267),index_270),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(182,axiom,
    equal(rselect_tail(q5),index_273),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(183,axiom,
    equal(s(index_273),index_276),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(184,axiom,
    equal(rselect_tail(q6),index_279),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(185,axiom,
    equal(s(index_279),index_282),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(186,axiom,
    equal(rselect_tail(q7),index_285),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(187,axiom,
    equal(s(index_285),index_288),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(188,axiom,
    equal(rselect_tail(q8),index_291),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(189,axiom,
    equal(s(index_291),index_294),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(190,axiom,
    equal(rselect_head(q49),index_297),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(191,axiom,
    equal(rselect_tail(q49),index_299),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(192,axiom,
    equal(rselect_tail(q0),index_3),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(193,axiom,
    equal(s(index_27),index_30),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(194,axiom,
    equal(s(index_300),index_299),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(195,axiom,
    equal(rselect_tail(q13),index_33),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(196,axiom,
    equal(s(index_33),index_36),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(197,axiom,
    equal(rselect_tail(q14),index_39),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(198,axiom,
    equal(s(index_39),index_42),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(199,axiom,
    equal(rselect_tail(q15),index_45),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(200,axiom,
    equal(s(index_45),index_48),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(201,axiom,
    equal(rselect_tail(q16),index_51),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(202,axiom,
    equal(s(index_51),index_54),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(203,axiom,
    equal(rselect_tail(q17),index_57),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(204,axiom,
    equal(s(index_3),index_6),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(205,axiom,
    equal(s(index_57),index_60),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(206,axiom,
    equal(rselect_tail(q18),index_63),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(207,axiom,
    equal(s(index_63),index_66),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(208,axiom,
    equal(rselect_tail(q1),index_69),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(209,axiom,
    equal(s(index_69),index_72),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(210,axiom,
    equal(rselect_tail(q19),index_75),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(211,axiom,
    equal(s(index_75),index_78),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(212,axiom,
    equal(rselect_tail(q20),index_81),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(213,axiom,
    equal(s(index_81),index_84),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(214,axiom,
    equal(rselect_tail(q21),index_87),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(215,axiom,
    equal(rselect_tail(q9),index_9),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(216,axiom,
    equal(s(index_87),index_90),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(217,axiom,
    equal(rselect_tail(q22),index_93),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(218,axiom,
    equal(s(index_93),index_96),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(219,axiom,
    equal(rselect_tail(q23),index_99),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(220,axiom,
    equal(rstore_head(q,index_0),queue_1),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(221,axiom,
    equal(rstore_seq(q23,earray_100),queue_101),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(222,axiom,
    equal(rstore_tail(queue_101,index_102),queue_103),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(223,axiom,
    equal(rstore_seq(q24,earray_106),queue_107),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(224,axiom,
    equal(rstore_tail(queue_107,index_108),queue_109),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(225,axiom,
    equal(rstore_seq(q9,earray_10),queue_11),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(226,axiom,
    equal(rstore_seq(q25,earray_112),queue_113),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(227,axiom,
    equal(rstore_tail(queue_113,index_114),queue_115),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(228,axiom,
    equal(rstore_seq(q26,earray_118),queue_119),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(229,axiom,
    equal(rstore_tail(queue_119,index_120),queue_121),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(230,axiom,
    equal(rstore_seq(q27,earray_124),queue_125),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(231,axiom,
    equal(rstore_tail(queue_125,index_126),queue_127),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(232,axiom,
    equal(rstore_tail(queue_11,index_12),queue_13),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(233,axiom,
    equal(rstore_seq(q28,earray_130),queue_131),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(234,axiom,
    equal(rstore_tail(queue_131,index_132),queue_133),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(235,axiom,
    equal(rstore_seq(q2,earray_136),queue_137),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(236,axiom,
    equal(rstore_tail(queue_137,index_138),queue_139),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(237,axiom,
    equal(rstore_seq(q29,earray_142),queue_143),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(238,axiom,
    equal(rstore_tail(queue_143,index_144),queue_145),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(239,axiom,
    equal(rstore_seq(q30,earray_148),queue_149),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(240,axiom,
    equal(rstore_tail(queue_149,index_150),queue_151),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(241,axiom,
    equal(rstore_seq(q31,earray_154),queue_155),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(242,axiom,
    equal(rstore_tail(queue_155,index_156),queue_157),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(243,axiom,
    equal(rstore_seq(q32,earray_160),queue_161),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(244,axiom,
    equal(rstore_tail(queue_161,index_162),queue_163),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(245,axiom,
    equal(rstore_seq(q33,earray_166),queue_167),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(246,axiom,
    equal(rstore_tail(queue_167,index_168),queue_169),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(247,axiom,
    equal(rstore_seq(q10,earray_16),queue_17),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(248,axiom,
    equal(rstore_seq(q34,earray_172),queue_173),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(249,axiom,
    equal(rstore_tail(queue_173,index_174),queue_175),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(250,axiom,
    equal(rstore_seq(q35,earray_178),queue_179),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(251,axiom,
    equal(rstore_tail(queue_179,index_180),queue_181),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(252,axiom,
    equal(rstore_seq(q36,earray_184),queue_185),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(253,axiom,
    equal(rstore_tail(queue_185,index_186),queue_187),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(254,axiom,
    equal(rstore_tail(queue_17,index_18),queue_19),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(255,axiom,
    equal(rstore_seq(q37,earray_190),queue_191),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(256,axiom,
    equal(rstore_tail(queue_191,index_192),queue_193),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(257,axiom,
    equal(rstore_seq(q38,earray_196),queue_197),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(258,axiom,
    equal(rstore_tail(queue_197,index_198),queue_199),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(259,axiom,
    equal(rstore_seq(q3,earray_202),queue_203),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(260,axiom,
    equal(rstore_tail(queue_203,index_204),queue_205),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(261,axiom,
    equal(rstore_seq(q39,earray_208),queue_209),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(262,axiom,
    equal(rstore_tail(queue_209,index_210),queue_211),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(263,axiom,
    equal(rstore_seq(q40,earray_214),queue_215),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(264,axiom,
    equal(rstore_tail(queue_215,index_216),queue_217),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(265,axiom,
    equal(rstore_seq(q41,earray_220),queue_221),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(266,axiom,
    equal(rstore_tail(queue_221,index_222),queue_223),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(267,axiom,
    equal(rstore_seq(q42,earray_226),queue_227),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(268,axiom,
    equal(rstore_tail(queue_227,index_228),queue_229),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(269,axiom,
    equal(rstore_seq(q11,earray_22),queue_23),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(270,axiom,
    equal(rstore_seq(q43,earray_232),queue_233),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(271,axiom,
    equal(rstore_tail(queue_233,index_234),queue_235),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(272,axiom,
    equal(rstore_seq(q44,earray_238),queue_239),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(273,axiom,
    equal(rstore_tail(queue_239,index_240),queue_241),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(274,axiom,
    equal(rstore_seq(q45,earray_244),queue_245),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(275,axiom,
    equal(rstore_tail(queue_245,index_246),queue_247),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(276,axiom,
    equal(rstore_tail(queue_23,index_24),queue_25),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(277,axiom,
    equal(rstore_seq(q46,earray_250),queue_251),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(278,axiom,
    equal(rstore_tail(queue_251,index_252),queue_253),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(279,axiom,
    equal(rstore_seq(q47,earray_256),queue_257),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(280,axiom,
    equal(rstore_tail(queue_257,index_258),queue_259),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(281,axiom,
    equal(rstore_seq(q48,earray_262),queue_263),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(282,axiom,
    equal(rstore_tail(queue_263,index_264),queue_265),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(283,axiom,
    equal(rstore_seq(q4,earray_268),queue_269),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(284,axiom,
    equal(rstore_tail(queue_269,index_270),queue_271),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(285,axiom,
    equal(rstore_seq(q5,earray_274),queue_275),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(286,axiom,
    equal(rstore_tail(queue_275,index_276),queue_277),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(287,axiom,
    equal(rstore_seq(q6,earray_280),queue_281),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(288,axiom,
    equal(rstore_tail(queue_281,index_282),queue_283),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(289,axiom,
    equal(rstore_seq(q7,earray_286),queue_287),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(290,axiom,
    equal(rstore_tail(queue_287,index_288),queue_289),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(291,axiom,
    equal(rstore_seq(q12,earray_28),queue_29),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(292,axiom,
    equal(rstore_seq(q8,earray_292),queue_293),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(293,axiom,
    equal(rstore_tail(queue_293,index_294),queue_295),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(294,axiom,
    equal(rstore_tail(queue_29,index_30),queue_31),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(295,axiom,
    equal(rstore_seq(q13,earray_34),queue_35),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(296,axiom,
    equal(rstore_tail(queue_35,index_36),queue_37),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(297,axiom,
    equal(rstore_seq(q14,earray_40),queue_41),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(298,axiom,
    equal(rstore_tail(queue_41,index_42),queue_43),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(299,axiom,
    equal(rstore_seq(q15,earray_46),queue_47),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(300,axiom,
    equal(rstore_tail(queue_47,index_48),queue_49),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(301,axiom,
    equal(rstore_seq(q0,earray_4),queue_5),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(302,axiom,
    equal(rstore_seq(q16,earray_52),queue_53),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(303,axiom,
    equal(rstore_tail(queue_53,index_54),queue_55),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(304,axiom,
    equal(rstore_seq(q17,earray_58),queue_59),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(305,axiom,
    equal(rstore_tail(queue_59,index_60),queue_61),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(306,axiom,
    equal(rstore_seq(q18,earray_64),queue_65),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(307,axiom,
    equal(rstore_tail(queue_65,index_66),queue_67),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(308,axiom,
    equal(rstore_tail(queue_5,index_6),queue_7),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(309,axiom,
    equal(rstore_seq(q1,earray_70),queue_71),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(310,axiom,
    equal(rstore_tail(queue_71,index_72),queue_73),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(311,axiom,
    equal(rstore_seq(q19,earray_76),queue_77),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(312,axiom,
    equal(rstore_tail(queue_77,index_78),queue_79),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(313,axiom,
    equal(rstore_seq(q20,earray_82),queue_83),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(314,axiom,
    equal(rstore_tail(queue_83,index_84),queue_85),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(315,axiom,
    equal(rstore_seq(q21,earray_88),queue_89),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(316,axiom,
    equal(rstore_tail(queue_89,index_90),queue_91),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(317,axiom,
    equal(rstore_seq(q22,earray_94),queue_95),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(318,axiom,
    equal(rstore_tail(queue_95,index_96),queue_97),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(319,axiom,
    equal(queue_1,q0),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(320,axiom,
    equal(queue_7,q1),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(321,axiom,
    equal(queue_13,q10),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(322,axiom,
    equal(queue_19,q11),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(323,axiom,
    equal(queue_25,q12),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(324,axiom,
    equal(queue_31,q13),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(325,axiom,
    equal(queue_37,q14),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(326,axiom,
    equal(queue_43,q15),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(327,axiom,
    equal(queue_49,q16),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(328,axiom,
    equal(queue_55,q17),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(329,axiom,
    equal(queue_61,q18),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(330,axiom,
    equal(queue_67,q19),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(331,axiom,
    equal(queue_73,q2),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(332,axiom,
    equal(queue_79,q20),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(333,axiom,
    equal(queue_85,q21),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(334,axiom,
    equal(queue_91,q22),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(335,axiom,
    equal(queue_97,q23),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(336,axiom,
    equal(queue_103,q24),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(337,axiom,
    equal(queue_109,q25),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(338,axiom,
    equal(queue_115,q26),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(339,axiom,
    equal(queue_121,q27),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(340,axiom,
    equal(queue_127,q28),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(341,axiom,
    equal(queue_133,q29),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(342,axiom,
    equal(queue_139,q3),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(343,axiom,
    equal(queue_145,q30),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(344,axiom,
    equal(queue_151,q31),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(345,axiom,
    equal(queue_157,q32),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(346,axiom,
    equal(queue_163,q33),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(347,axiom,
    equal(queue_169,q34),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(348,axiom,
    equal(queue_175,q35),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(349,axiom,
    equal(queue_181,q36),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(350,axiom,
    equal(queue_187,q37),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(351,axiom,
    equal(queue_193,q38),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(352,axiom,
    equal(queue_199,q39),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(353,axiom,
    equal(queue_205,q4),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(354,axiom,
    equal(queue_211,q40),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(355,axiom,
    equal(queue_217,q41),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(356,axiom,
    equal(queue_223,q42),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(357,axiom,
    equal(queue_229,q43),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(358,axiom,
    equal(queue_235,q44),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(359,axiom,
    equal(queue_241,q45),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(360,axiom,
    equal(queue_247,q46),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(361,axiom,
    equal(queue_253,q47),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(362,axiom,
    equal(queue_259,q48),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(363,axiom,
    equal(queue_265,q49),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(364,axiom,
    equal(queue_271,q5),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(365,axiom,
    equal(queue_277,q6),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(366,axiom,
    equal(queue_283,q7),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(367,axiom,
    equal(queue_289,q8),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(368,axiom,
    equal(queue_295,q9),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(369,axiom,
    ~ equal(elem_301,elem_298),
    file('SWV570-1.049.p',unknown),
    [] ).

cnf(370,plain,
    equal(rstore_tail(queue_95,index_96),q23),
    inference(rew,[status(thm),theory(equality)],[335,318]),
    [iquote('0:Rew:335.0,318.0')] ).

cnf(371,plain,
    equal(rstore_tail(queue_89,index_90),q22),
    inference(rew,[status(thm),theory(equality)],[334,316]),
    [iquote('0:Rew:334.0,316.0')] ).

cnf(372,plain,
    equal(rstore_tail(queue_83,index_84),q21),
    inference(rew,[status(thm),theory(equality)],[333,314]),
    [iquote('0:Rew:333.0,314.0')] ).

cnf(373,plain,
    equal(rstore_tail(queue_77,index_78),q20),
    inference(rew,[status(thm),theory(equality)],[332,312]),
    [iquote('0:Rew:332.0,312.0')] ).

cnf(374,plain,
    equal(rstore_tail(queue_71,index_72),q2),
    inference(rew,[status(thm),theory(equality)],[331,310]),
    [iquote('0:Rew:331.0,310.0')] ).

cnf(375,plain,
    equal(rstore_tail(queue_5,index_6),q1),
    inference(rew,[status(thm),theory(equality)],[320,308]),
    [iquote('0:Rew:320.0,308.0')] ).

cnf(376,plain,
    equal(rstore_tail(queue_65,index_66),q19),
    inference(rew,[status(thm),theory(equality)],[330,307]),
    [iquote('0:Rew:330.0,307.0')] ).

cnf(377,plain,
    equal(rstore_tail(queue_59,index_60),q18),
    inference(rew,[status(thm),theory(equality)],[329,305]),
    [iquote('0:Rew:329.0,305.0')] ).

cnf(378,plain,
    equal(rstore_tail(queue_53,index_54),q17),
    inference(rew,[status(thm),theory(equality)],[328,303]),
    [iquote('0:Rew:328.0,303.0')] ).

cnf(379,plain,
    equal(rstore_tail(queue_47,index_48),q16),
    inference(rew,[status(thm),theory(equality)],[327,300]),
    [iquote('0:Rew:327.0,300.0')] ).

cnf(380,plain,
    equal(rstore_tail(queue_41,index_42),q15),
    inference(rew,[status(thm),theory(equality)],[326,298]),
    [iquote('0:Rew:326.0,298.0')] ).

cnf(381,plain,
    equal(rstore_tail(queue_35,index_36),q14),
    inference(rew,[status(thm),theory(equality)],[325,296]),
    [iquote('0:Rew:325.0,296.0')] ).

cnf(382,plain,
    equal(rstore_tail(queue_29,index_30),q13),
    inference(rew,[status(thm),theory(equality)],[324,294]),
    [iquote('0:Rew:324.0,294.0')] ).

cnf(383,plain,
    equal(rstore_tail(queue_293,index_294),q9),
    inference(rew,[status(thm),theory(equality)],[368,293]),
    [iquote('0:Rew:368.0,293.0')] ).

cnf(384,plain,
    equal(rstore_tail(queue_287,index_288),q8),
    inference(rew,[status(thm),theory(equality)],[367,290]),
    [iquote('0:Rew:367.0,290.0')] ).

cnf(385,plain,
    equal(rstore_tail(queue_281,index_282),q7),
    inference(rew,[status(thm),theory(equality)],[366,288]),
    [iquote('0:Rew:366.0,288.0')] ).

cnf(386,plain,
    equal(rstore_tail(queue_275,index_276),q6),
    inference(rew,[status(thm),theory(equality)],[365,286]),
    [iquote('0:Rew:365.0,286.0')] ).

cnf(387,plain,
    equal(rstore_tail(queue_269,index_270),q5),
    inference(rew,[status(thm),theory(equality)],[364,284]),
    [iquote('0:Rew:364.0,284.0')] ).

cnf(388,plain,
    equal(rstore_tail(queue_263,index_264),q49),
    inference(rew,[status(thm),theory(equality)],[363,282]),
    [iquote('0:Rew:363.0,282.0')] ).

cnf(389,plain,
    equal(rstore_tail(queue_257,index_258),q48),
    inference(rew,[status(thm),theory(equality)],[362,280]),
    [iquote('0:Rew:362.0,280.0')] ).

cnf(390,plain,
    equal(rstore_tail(queue_251,index_252),q47),
    inference(rew,[status(thm),theory(equality)],[361,278]),
    [iquote('0:Rew:361.0,278.0')] ).

cnf(391,plain,
    equal(rstore_tail(queue_23,index_24),q12),
    inference(rew,[status(thm),theory(equality)],[323,276]),
    [iquote('0:Rew:323.0,276.0')] ).

cnf(392,plain,
    equal(rstore_tail(queue_245,index_246),q46),
    inference(rew,[status(thm),theory(equality)],[360,275]),
    [iquote('0:Rew:360.0,275.0')] ).

cnf(393,plain,
    equal(rstore_tail(queue_239,index_240),q45),
    inference(rew,[status(thm),theory(equality)],[359,273]),
    [iquote('0:Rew:359.0,273.0')] ).

cnf(394,plain,
    equal(rstore_tail(queue_233,index_234),q44),
    inference(rew,[status(thm),theory(equality)],[358,271]),
    [iquote('0:Rew:358.0,271.0')] ).

cnf(395,plain,
    equal(rstore_tail(queue_227,index_228),q43),
    inference(rew,[status(thm),theory(equality)],[357,268]),
    [iquote('0:Rew:357.0,268.0')] ).

cnf(396,plain,
    equal(rstore_tail(queue_221,index_222),q42),
    inference(rew,[status(thm),theory(equality)],[356,266]),
    [iquote('0:Rew:356.0,266.0')] ).

cnf(397,plain,
    equal(rstore_tail(queue_215,index_216),q41),
    inference(rew,[status(thm),theory(equality)],[355,264]),
    [iquote('0:Rew:355.0,264.0')] ).

cnf(398,plain,
    equal(rstore_tail(queue_209,index_210),q40),
    inference(rew,[status(thm),theory(equality)],[354,262]),
    [iquote('0:Rew:354.0,262.0')] ).

cnf(399,plain,
    equal(rstore_tail(queue_203,index_204),q4),
    inference(rew,[status(thm),theory(equality)],[353,260]),
    [iquote('0:Rew:353.0,260.0')] ).

cnf(400,plain,
    equal(rstore_tail(queue_197,index_198),q39),
    inference(rew,[status(thm),theory(equality)],[352,258]),
    [iquote('0:Rew:352.0,258.0')] ).

cnf(401,plain,
    equal(rstore_tail(queue_191,index_192),q38),
    inference(rew,[status(thm),theory(equality)],[351,256]),
    [iquote('0:Rew:351.0,256.0')] ).

cnf(402,plain,
    equal(rstore_tail(queue_17,index_18),q11),
    inference(rew,[status(thm),theory(equality)],[322,254]),
    [iquote('0:Rew:322.0,254.0')] ).

cnf(403,plain,
    equal(rstore_tail(queue_185,index_186),q37),
    inference(rew,[status(thm),theory(equality)],[350,253]),
    [iquote('0:Rew:350.0,253.0')] ).

cnf(404,plain,
    equal(rstore_tail(queue_179,index_180),q36),
    inference(rew,[status(thm),theory(equality)],[349,251]),
    [iquote('0:Rew:349.0,251.0')] ).

cnf(405,plain,
    equal(rstore_tail(queue_173,index_174),q35),
    inference(rew,[status(thm),theory(equality)],[348,249]),
    [iquote('0:Rew:348.0,249.0')] ).

cnf(406,plain,
    equal(rstore_tail(queue_167,index_168),q34),
    inference(rew,[status(thm),theory(equality)],[347,246]),
    [iquote('0:Rew:347.0,246.0')] ).

cnf(407,plain,
    equal(rstore_tail(queue_161,index_162),q33),
    inference(rew,[status(thm),theory(equality)],[346,244]),
    [iquote('0:Rew:346.0,244.0')] ).

cnf(408,plain,
    equal(rstore_tail(queue_155,index_156),q32),
    inference(rew,[status(thm),theory(equality)],[345,242]),
    [iquote('0:Rew:345.0,242.0')] ).

cnf(409,plain,
    equal(rstore_tail(queue_149,index_150),q31),
    inference(rew,[status(thm),theory(equality)],[344,240]),
    [iquote('0:Rew:344.0,240.0')] ).

cnf(410,plain,
    equal(rstore_tail(queue_143,index_144),q30),
    inference(rew,[status(thm),theory(equality)],[343,238]),
    [iquote('0:Rew:343.0,238.0')] ).

cnf(411,plain,
    equal(rstore_tail(queue_137,index_138),q3),
    inference(rew,[status(thm),theory(equality)],[342,236]),
    [iquote('0:Rew:342.0,236.0')] ).

cnf(412,plain,
    equal(rstore_tail(queue_131,index_132),q29),
    inference(rew,[status(thm),theory(equality)],[341,234]),
    [iquote('0:Rew:341.0,234.0')] ).

cnf(413,plain,
    equal(rstore_tail(queue_11,index_12),q10),
    inference(rew,[status(thm),theory(equality)],[321,232]),
    [iquote('0:Rew:321.0,232.0')] ).

cnf(414,plain,
    equal(rstore_tail(queue_125,index_126),q28),
    inference(rew,[status(thm),theory(equality)],[340,231]),
    [iquote('0:Rew:340.0,231.0')] ).

cnf(415,plain,
    equal(rstore_tail(queue_119,index_120),q27),
    inference(rew,[status(thm),theory(equality)],[339,229]),
    [iquote('0:Rew:339.0,229.0')] ).

cnf(416,plain,
    equal(rstore_tail(queue_113,index_114),q26),
    inference(rew,[status(thm),theory(equality)],[338,227]),
    [iquote('0:Rew:338.0,227.0')] ).

cnf(417,plain,
    equal(rstore_tail(queue_107,index_108),q25),
    inference(rew,[status(thm),theory(equality)],[337,224]),
    [iquote('0:Rew:337.0,224.0')] ).

cnf(418,plain,
    equal(rstore_tail(queue_101,index_102),q24),
    inference(rew,[status(thm),theory(equality)],[336,222]),
    [iquote('0:Rew:336.0,222.0')] ).

cnf(419,plain,
    equal(rstore_head(q,index_0),q0),
    inference(rew,[status(thm),theory(equality)],[319,220]),
    [iquote('0:Rew:319.0,220.0')] ).

cnf(728,plain,
    equal(p(index_96),index_93),
    inference(spr,[status(thm),theory(equality)],[218,12]),
    [iquote('0:SpR:218.0,12.0')] ).

cnf(729,plain,
    equal(p(index_90),index_87),
    inference(spr,[status(thm),theory(equality)],[216,12]),
    [iquote('0:SpR:216.0,12.0')] ).

cnf(730,plain,
    equal(p(index_84),index_81),
    inference(spr,[status(thm),theory(equality)],[213,12]),
    [iquote('0:SpR:213.0,12.0')] ).

cnf(731,plain,
    equal(p(index_78),index_75),
    inference(spr,[status(thm),theory(equality)],[211,12]),
    [iquote('0:SpR:211.0,12.0')] ).

cnf(732,plain,
    equal(p(index_72),index_69),
    inference(spr,[status(thm),theory(equality)],[209,12]),
    [iquote('0:SpR:209.0,12.0')] ).

cnf(733,plain,
    equal(p(index_66),index_63),
    inference(spr,[status(thm),theory(equality)],[207,12]),
    [iquote('0:SpR:207.0,12.0')] ).

cnf(734,plain,
    equal(p(index_60),index_57),
    inference(spr,[status(thm),theory(equality)],[205,12]),
    [iquote('0:SpR:205.0,12.0')] ).

cnf(735,plain,
    equal(p(index_6),index_3),
    inference(spr,[status(thm),theory(equality)],[204,12]),
    [iquote('0:SpR:204.0,12.0')] ).

cnf(736,plain,
    equal(p(index_54),index_51),
    inference(spr,[status(thm),theory(equality)],[202,12]),
    [iquote('0:SpR:202.0,12.0')] ).

cnf(737,plain,
    equal(p(index_48),index_45),
    inference(spr,[status(thm),theory(equality)],[200,12]),
    [iquote('0:SpR:200.0,12.0')] ).

cnf(738,plain,
    equal(p(index_42),index_39),
    inference(spr,[status(thm),theory(equality)],[198,12]),
    [iquote('0:SpR:198.0,12.0')] ).

cnf(739,plain,
    equal(p(index_36),index_33),
    inference(spr,[status(thm),theory(equality)],[196,12]),
    [iquote('0:SpR:196.0,12.0')] ).

cnf(740,plain,
    equal(p(index_299),index_300),
    inference(spr,[status(thm),theory(equality)],[194,12]),
    [iquote('0:SpR:194.0,12.0')] ).

cnf(741,plain,
    equal(p(index_30),index_27),
    inference(spr,[status(thm),theory(equality)],[193,12]),
    [iquote('0:SpR:193.0,12.0')] ).

cnf(742,plain,
    equal(p(index_294),index_291),
    inference(spr,[status(thm),theory(equality)],[189,12]),
    [iquote('0:SpR:189.0,12.0')] ).

cnf(743,plain,
    equal(p(index_288),index_285),
    inference(spr,[status(thm),theory(equality)],[187,12]),
    [iquote('0:SpR:187.0,12.0')] ).

cnf(744,plain,
    equal(p(index_282),index_279),
    inference(spr,[status(thm),theory(equality)],[185,12]),
    [iquote('0:SpR:185.0,12.0')] ).

cnf(745,plain,
    equal(p(index_276),index_273),
    inference(spr,[status(thm),theory(equality)],[183,12]),
    [iquote('0:SpR:183.0,12.0')] ).

cnf(746,plain,
    equal(p(index_270),index_267),
    inference(spr,[status(thm),theory(equality)],[181,12]),
    [iquote('0:SpR:181.0,12.0')] ).

cnf(747,plain,
    equal(p(index_264),index_261),
    inference(spr,[status(thm),theory(equality)],[178,12]),
    [iquote('0:SpR:178.0,12.0')] ).

cnf(752,plain,
    equal(p(index_24),index_21),
    inference(spr,[status(thm),theory(equality)],[169,12]),
    [iquote('0:SpR:169.0,12.0')] ).

cnf(758,plain,
    equal(p(index_204),index_201),
    inference(spr,[status(thm),theory(equality)],[156,12]),
    [iquote('0:SpR:156.0,12.0')] ).

cnf(761,plain,
    equal(p(index_186),index_183),
    inference(spr,[status(thm),theory(equality)],[150,12]),
    [iquote('0:SpR:150.0,12.0')] ).

cnf(763,plain,
    equal(p(index_18),index_15),
    inference(spr,[status(thm),theory(equality)],[147,12]),
    [iquote('0:SpR:147.0,12.0')] ).

cnf(770,plain,
    equal(p(index_138),index_135),
    inference(spr,[status(thm),theory(equality)],[132,12]),
    [iquote('0:SpR:132.0,12.0')] ).

cnf(774,plain,
    equal(p(index_12),index_9),
    inference(spr,[status(thm),theory(equality)],[125,12]),
    [iquote('0:SpR:125.0,12.0')] ).

cnf(776,plain,
    equal(p(index_108),index_105),
    inference(spr,[status(thm),theory(equality)],[121,12]),
    [iquote('0:SpR:121.0,12.0')] ).

cnf(777,plain,
    equal(p(index_102),index_99),
    inference(spr,[status(thm),theory(equality)],[119,12]),
    [iquote('0:SpR:119.0,12.0')] ).

cnf(1030,plain,
    equal(s(s(u)),p(u)),
    inference(spr,[status(thm),theory(equality)],[16,12]),
    [iquote('0:SpR:16.0,12.0')] ).

cnf(1142,plain,
    equal(p(index_93),s(index_96)),
    inference(spr,[status(thm),theory(equality)],[218,1030]),
    [iquote('0:SpR:218.0,1030.0')] ).

cnf(1196,plain,
    equal(rselect_tail(q23),index_96),
    inference(spr,[status(thm),theory(equality)],[370,5]),
    [iquote('0:SpR:370.0,5.0')] ).

cnf(1197,plain,
    equal(rselect_tail(q22),index_90),
    inference(spr,[status(thm),theory(equality)],[371,5]),
    [iquote('0:SpR:371.0,5.0')] ).

cnf(1198,plain,
    equal(rselect_tail(q21),index_84),
    inference(spr,[status(thm),theory(equality)],[372,5]),
    [iquote('0:SpR:372.0,5.0')] ).

cnf(1199,plain,
    equal(rselect_tail(q20),index_78),
    inference(spr,[status(thm),theory(equality)],[373,5]),
    [iquote('0:SpR:373.0,5.0')] ).

cnf(1200,plain,
    equal(rselect_tail(q2),index_72),
    inference(spr,[status(thm),theory(equality)],[374,5]),
    [iquote('0:SpR:374.0,5.0')] ).

cnf(1201,plain,
    equal(rselect_tail(q1),index_6),
    inference(spr,[status(thm),theory(equality)],[375,5]),
    [iquote('0:SpR:375.0,5.0')] ).

cnf(1202,plain,
    equal(rselect_tail(q19),index_66),
    inference(spr,[status(thm),theory(equality)],[376,5]),
    [iquote('0:SpR:376.0,5.0')] ).

cnf(1203,plain,
    equal(rselect_tail(q18),index_60),
    inference(spr,[status(thm),theory(equality)],[377,5]),
    [iquote('0:SpR:377.0,5.0')] ).

cnf(1204,plain,
    equal(rselect_tail(q17),index_54),
    inference(spr,[status(thm),theory(equality)],[378,5]),
    [iquote('0:SpR:378.0,5.0')] ).

cnf(1205,plain,
    equal(rselect_tail(q16),index_48),
    inference(spr,[status(thm),theory(equality)],[379,5]),
    [iquote('0:SpR:379.0,5.0')] ).

cnf(1206,plain,
    equal(rselect_tail(q15),index_42),
    inference(spr,[status(thm),theory(equality)],[380,5]),
    [iquote('0:SpR:380.0,5.0')] ).

cnf(1207,plain,
    equal(rselect_tail(q14),index_36),
    inference(spr,[status(thm),theory(equality)],[381,5]),
    [iquote('0:SpR:381.0,5.0')] ).

cnf(1208,plain,
    equal(rselect_tail(q13),index_30),
    inference(spr,[status(thm),theory(equality)],[382,5]),
    [iquote('0:SpR:382.0,5.0')] ).

cnf(1209,plain,
    equal(rselect_tail(q9),index_294),
    inference(spr,[status(thm),theory(equality)],[383,5]),
    [iquote('0:SpR:383.0,5.0')] ).

cnf(1210,plain,
    equal(rselect_tail(q8),index_288),
    inference(spr,[status(thm),theory(equality)],[384,5]),
    [iquote('0:SpR:384.0,5.0')] ).

cnf(1211,plain,
    equal(rselect_tail(q7),index_282),
    inference(spr,[status(thm),theory(equality)],[385,5]),
    [iquote('0:SpR:385.0,5.0')] ).

cnf(1212,plain,
    equal(rselect_tail(q6),index_276),
    inference(spr,[status(thm),theory(equality)],[386,5]),
    [iquote('0:SpR:386.0,5.0')] ).

cnf(1213,plain,
    equal(rselect_tail(q5),index_270),
    inference(spr,[status(thm),theory(equality)],[387,5]),
    [iquote('0:SpR:387.0,5.0')] ).

cnf(1214,plain,
    equal(rselect_tail(q49),index_264),
    inference(spr,[status(thm),theory(equality)],[388,5]),
    [iquote('0:SpR:388.0,5.0')] ).

cnf(1215,plain,
    equal(rselect_tail(q48),index_258),
    inference(spr,[status(thm),theory(equality)],[389,5]),
    [iquote('0:SpR:389.0,5.0')] ).

cnf(1216,plain,
    equal(rselect_tail(q47),index_252),
    inference(spr,[status(thm),theory(equality)],[390,5]),
    [iquote('0:SpR:390.0,5.0')] ).

cnf(1217,plain,
    equal(rselect_tail(q12),index_24),
    inference(spr,[status(thm),theory(equality)],[391,5]),
    [iquote('0:SpR:391.0,5.0')] ).

cnf(1218,plain,
    equal(rselect_tail(q46),index_246),
    inference(spr,[status(thm),theory(equality)],[392,5]),
    [iquote('0:SpR:392.0,5.0')] ).

cnf(1219,plain,
    equal(rselect_tail(q45),index_240),
    inference(spr,[status(thm),theory(equality)],[393,5]),
    [iquote('0:SpR:393.0,5.0')] ).

cnf(1220,plain,
    equal(rselect_tail(q44),index_234),
    inference(spr,[status(thm),theory(equality)],[394,5]),
    [iquote('0:SpR:394.0,5.0')] ).

cnf(1221,plain,
    equal(rselect_tail(q43),index_228),
    inference(spr,[status(thm),theory(equality)],[395,5]),
    [iquote('0:SpR:395.0,5.0')] ).

cnf(1222,plain,
    equal(rselect_tail(q42),index_222),
    inference(spr,[status(thm),theory(equality)],[396,5]),
    [iquote('0:SpR:396.0,5.0')] ).

cnf(1223,plain,
    equal(rselect_tail(q41),index_216),
    inference(spr,[status(thm),theory(equality)],[397,5]),
    [iquote('0:SpR:397.0,5.0')] ).

cnf(1224,plain,
    equal(rselect_tail(q40),index_210),
    inference(spr,[status(thm),theory(equality)],[398,5]),
    [iquote('0:SpR:398.0,5.0')] ).

cnf(1225,plain,
    equal(rselect_tail(q4),index_204),
    inference(spr,[status(thm),theory(equality)],[399,5]),
    [iquote('0:SpR:399.0,5.0')] ).

cnf(1226,plain,
    equal(rselect_tail(q39),index_198),
    inference(spr,[status(thm),theory(equality)],[400,5]),
    [iquote('0:SpR:400.0,5.0')] ).

cnf(1227,plain,
    equal(rselect_tail(q38),index_192),
    inference(spr,[status(thm),theory(equality)],[401,5]),
    [iquote('0:SpR:401.0,5.0')] ).

cnf(1228,plain,
    equal(rselect_tail(q11),index_18),
    inference(spr,[status(thm),theory(equality)],[402,5]),
    [iquote('0:SpR:402.0,5.0')] ).

cnf(1229,plain,
    equal(rselect_tail(q37),index_186),
    inference(spr,[status(thm),theory(equality)],[403,5]),
    [iquote('0:SpR:403.0,5.0')] ).

cnf(1230,plain,
    equal(rselect_tail(q36),index_180),
    inference(spr,[status(thm),theory(equality)],[404,5]),
    [iquote('0:SpR:404.0,5.0')] ).

cnf(1231,plain,
    equal(rselect_tail(q35),index_174),
    inference(spr,[status(thm),theory(equality)],[405,5]),
    [iquote('0:SpR:405.0,5.0')] ).

cnf(1232,plain,
    equal(rselect_tail(q34),index_168),
    inference(spr,[status(thm),theory(equality)],[406,5]),
    [iquote('0:SpR:406.0,5.0')] ).

cnf(1233,plain,
    equal(rselect_tail(q33),index_162),
    inference(spr,[status(thm),theory(equality)],[407,5]),
    [iquote('0:SpR:407.0,5.0')] ).

cnf(1234,plain,
    equal(rselect_tail(q32),index_156),
    inference(spr,[status(thm),theory(equality)],[408,5]),
    [iquote('0:SpR:408.0,5.0')] ).

cnf(1235,plain,
    equal(rselect_tail(q31),index_150),
    inference(spr,[status(thm),theory(equality)],[409,5]),
    [iquote('0:SpR:409.0,5.0')] ).

cnf(1236,plain,
    equal(rselect_tail(q30),index_144),
    inference(spr,[status(thm),theory(equality)],[410,5]),
    [iquote('0:SpR:410.0,5.0')] ).

cnf(1237,plain,
    equal(rselect_tail(q3),index_138),
    inference(spr,[status(thm),theory(equality)],[411,5]),
    [iquote('0:SpR:411.0,5.0')] ).

cnf(1238,plain,
    equal(rselect_tail(q29),index_132),
    inference(spr,[status(thm),theory(equality)],[412,5]),
    [iquote('0:SpR:412.0,5.0')] ).

cnf(1239,plain,
    equal(rselect_tail(q10),index_12),
    inference(spr,[status(thm),theory(equality)],[413,5]),
    [iquote('0:SpR:413.0,5.0')] ).

cnf(1240,plain,
    equal(rselect_tail(q28),index_126),
    inference(spr,[status(thm),theory(equality)],[414,5]),
    [iquote('0:SpR:414.0,5.0')] ).

cnf(1241,plain,
    equal(rselect_tail(q27),index_120),
    inference(spr,[status(thm),theory(equality)],[415,5]),
    [iquote('0:SpR:415.0,5.0')] ).

cnf(1242,plain,
    equal(rselect_tail(q26),index_114),
    inference(spr,[status(thm),theory(equality)],[416,5]),
    [iquote('0:SpR:416.0,5.0')] ).

cnf(1243,plain,
    equal(rselect_tail(q25),index_108),
    inference(spr,[status(thm),theory(equality)],[417,5]),
    [iquote('0:SpR:417.0,5.0')] ).

cnf(1244,plain,
    equal(rselect_tail(q24),index_102),
    inference(spr,[status(thm),theory(equality)],[418,5]),
    [iquote('0:SpR:418.0,5.0')] ).

cnf(1245,plain,
    equal(index_96,index_99),
    inference(rew,[status(thm),theory(equality)],[219,1196]),
    [iquote('0:Rew:219.0,1196.0')] ).

cnf(1246,plain,
    equal(s(index_93),index_99),
    inference(rew,[status(thm),theory(equality)],[1245,218]),
    [iquote('0:Rew:1245.0,218.0')] ).

cnf(1247,plain,
    equal(rstore_tail(queue_95,index_99),q23),
    inference(rew,[status(thm),theory(equality)],[1245,370]),
    [iquote('0:Rew:1245.0,370.0')] ).

cnf(1248,plain,
    equal(p(index_99),index_93),
    inference(rew,[status(thm),theory(equality)],[1245,728]),
    [iquote('0:Rew:1245.0,728.0')] ).

cnf(1250,plain,
    equal(p(index_93),s(index_99)),
    inference(rew,[status(thm),theory(equality)],[1245,1142]),
    [iquote('0:Rew:1245.0,1142.0')] ).

cnf(1251,plain,
    equal(index_90,index_93),
    inference(rew,[status(thm),theory(equality)],[217,1197]),
    [iquote('0:Rew:217.0,1197.0')] ).

cnf(1252,plain,
    equal(s(index_87),index_93),
    inference(rew,[status(thm),theory(equality)],[1251,216]),
    [iquote('0:Rew:1251.0,216.0')] ).

cnf(1253,plain,
    equal(rstore_tail(queue_89,index_93),q22),
    inference(rew,[status(thm),theory(equality)],[1251,371]),
    [iquote('0:Rew:1251.0,371.0')] ).

cnf(1254,plain,
    equal(p(index_93),index_87),
    inference(rew,[status(thm),theory(equality)],[1251,729]),
    [iquote('0:Rew:1251.0,729.0')] ).

cnf(1257,plain,
    equal(index_84,index_87),
    inference(rew,[status(thm),theory(equality)],[214,1198]),
    [iquote('0:Rew:214.0,1198.0')] ).

cnf(1259,plain,
    equal(rstore_tail(queue_83,index_87),q21),
    inference(rew,[status(thm),theory(equality)],[1257,372]),
    [iquote('0:Rew:1257.0,372.0')] ).

cnf(1260,plain,
    equal(p(index_87),index_81),
    inference(rew,[status(thm),theory(equality)],[1257,730]),
    [iquote('0:Rew:1257.0,730.0')] ).

cnf(1263,plain,
    equal(index_78,index_81),
    inference(rew,[status(thm),theory(equality)],[212,1199]),
    [iquote('0:Rew:212.0,1199.0')] ).

cnf(1265,plain,
    equal(rstore_tail(queue_77,index_81),q20),
    inference(rew,[status(thm),theory(equality)],[1263,373]),
    [iquote('0:Rew:1263.0,373.0')] ).

cnf(1266,plain,
    equal(p(index_81),index_75),
    inference(rew,[status(thm),theory(equality)],[1263,731]),
    [iquote('0:Rew:1263.0,731.0')] ).

cnf(1269,plain,
    equal(index_72,index_135),
    inference(rew,[status(thm),theory(equality)],[131,1200]),
    [iquote('0:Rew:131.0,1200.0')] ).

cnf(1271,plain,
    equal(rstore_tail(queue_71,index_135),q2),
    inference(rew,[status(thm),theory(equality)],[1269,374]),
    [iquote('0:Rew:1269.0,374.0')] ).

cnf(1272,plain,
    equal(p(index_135),index_69),
    inference(rew,[status(thm),theory(equality)],[1269,732]),
    [iquote('0:Rew:1269.0,732.0')] ).

cnf(1275,plain,
    equal(index_6,index_69),
    inference(rew,[status(thm),theory(equality)],[208,1201]),
    [iquote('0:Rew:208.0,1201.0')] ).

cnf(1277,plain,
    equal(rstore_tail(queue_5,index_69),q1),
    inference(rew,[status(thm),theory(equality)],[1275,375]),
    [iquote('0:Rew:1275.0,375.0')] ).

cnf(1278,plain,
    equal(p(index_69),index_3),
    inference(rew,[status(thm),theory(equality)],[1275,735]),
    [iquote('0:Rew:1275.0,735.0')] ).

cnf(1281,plain,
    equal(index_66,index_75),
    inference(rew,[status(thm),theory(equality)],[210,1202]),
    [iquote('0:Rew:210.0,1202.0')] ).

cnf(1283,plain,
    equal(rstore_tail(queue_65,index_75),q19),
    inference(rew,[status(thm),theory(equality)],[1281,376]),
    [iquote('0:Rew:1281.0,376.0')] ).

cnf(1284,plain,
    equal(p(index_75),index_63),
    inference(rew,[status(thm),theory(equality)],[1281,733]),
    [iquote('0:Rew:1281.0,733.0')] ).

cnf(1287,plain,
    equal(index_60,index_63),
    inference(rew,[status(thm),theory(equality)],[206,1203]),
    [iquote('0:Rew:206.0,1203.0')] ).

cnf(1289,plain,
    equal(rstore_tail(queue_59,index_63),q18),
    inference(rew,[status(thm),theory(equality)],[1287,377]),
    [iquote('0:Rew:1287.0,377.0')] ).

cnf(1290,plain,
    equal(p(index_63),index_57),
    inference(rew,[status(thm),theory(equality)],[1287,734]),
    [iquote('0:Rew:1287.0,734.0')] ).

cnf(1293,plain,
    equal(index_54,index_57),
    inference(rew,[status(thm),theory(equality)],[203,1204]),
    [iquote('0:Rew:203.0,1204.0')] ).

cnf(1295,plain,
    equal(rstore_tail(queue_53,index_57),q17),
    inference(rew,[status(thm),theory(equality)],[1293,378]),
    [iquote('0:Rew:1293.0,378.0')] ).

cnf(1296,plain,
    equal(p(index_57),index_51),
    inference(rew,[status(thm),theory(equality)],[1293,736]),
    [iquote('0:Rew:1293.0,736.0')] ).

cnf(1299,plain,
    equal(index_48,index_51),
    inference(rew,[status(thm),theory(equality)],[201,1205]),
    [iquote('0:Rew:201.0,1205.0')] ).

cnf(1301,plain,
    equal(rstore_tail(queue_47,index_51),q16),
    inference(rew,[status(thm),theory(equality)],[1299,379]),
    [iquote('0:Rew:1299.0,379.0')] ).

cnf(1302,plain,
    equal(p(index_51),index_45),
    inference(rew,[status(thm),theory(equality)],[1299,737]),
    [iquote('0:Rew:1299.0,737.0')] ).

cnf(1305,plain,
    equal(index_42,index_45),
    inference(rew,[status(thm),theory(equality)],[199,1206]),
    [iquote('0:Rew:199.0,1206.0')] ).

cnf(1307,plain,
    equal(rstore_tail(queue_41,index_45),q15),
    inference(rew,[status(thm),theory(equality)],[1305,380]),
    [iquote('0:Rew:1305.0,380.0')] ).

cnf(1308,plain,
    equal(p(index_45),index_39),
    inference(rew,[status(thm),theory(equality)],[1305,738]),
    [iquote('0:Rew:1305.0,738.0')] ).

cnf(1311,plain,
    equal(index_36,index_39),
    inference(rew,[status(thm),theory(equality)],[197,1207]),
    [iquote('0:Rew:197.0,1207.0')] ).

cnf(1313,plain,
    equal(rstore_tail(queue_35,index_39),q14),
    inference(rew,[status(thm),theory(equality)],[1311,381]),
    [iquote('0:Rew:1311.0,381.0')] ).

cnf(1314,plain,
    equal(p(index_39),index_33),
    inference(rew,[status(thm),theory(equality)],[1311,739]),
    [iquote('0:Rew:1311.0,739.0')] ).

cnf(1317,plain,
    equal(index_30,index_33),
    inference(rew,[status(thm),theory(equality)],[195,1208]),
    [iquote('0:Rew:195.0,1208.0')] ).

cnf(1319,plain,
    equal(rstore_tail(queue_29,index_33),q13),
    inference(rew,[status(thm),theory(equality)],[1317,382]),
    [iquote('0:Rew:1317.0,382.0')] ).

cnf(1320,plain,
    equal(p(index_33),index_27),
    inference(rew,[status(thm),theory(equality)],[1317,741]),
    [iquote('0:Rew:1317.0,741.0')] ).

cnf(1323,plain,
    equal(index_294,index_9),
    inference(rew,[status(thm),theory(equality)],[215,1209]),
    [iquote('0:Rew:215.0,1209.0')] ).

cnf(1325,plain,
    equal(rstore_tail(queue_293,index_9),q9),
    inference(rew,[status(thm),theory(equality)],[1323,383]),
    [iquote('0:Rew:1323.0,383.0')] ).

cnf(1326,plain,
    equal(p(index_9),index_291),
    inference(rew,[status(thm),theory(equality)],[1323,742]),
    [iquote('0:Rew:1323.0,742.0')] ).

cnf(1329,plain,
    equal(index_288,index_291),
    inference(rew,[status(thm),theory(equality)],[188,1210]),
    [iquote('0:Rew:188.0,1210.0')] ).

cnf(1331,plain,
    equal(rstore_tail(queue_287,index_291),q8),
    inference(rew,[status(thm),theory(equality)],[1329,384]),
    [iquote('0:Rew:1329.0,384.0')] ).

cnf(1332,plain,
    equal(p(index_291),index_285),
    inference(rew,[status(thm),theory(equality)],[1329,743]),
    [iquote('0:Rew:1329.0,743.0')] ).

cnf(1335,plain,
    equal(index_282,index_285),
    inference(rew,[status(thm),theory(equality)],[186,1211]),
    [iquote('0:Rew:186.0,1211.0')] ).

cnf(1337,plain,
    equal(rstore_tail(queue_281,index_285),q7),
    inference(rew,[status(thm),theory(equality)],[1335,385]),
    [iquote('0:Rew:1335.0,385.0')] ).

cnf(1338,plain,
    equal(p(index_285),index_279),
    inference(rew,[status(thm),theory(equality)],[1335,744]),
    [iquote('0:Rew:1335.0,744.0')] ).

cnf(1341,plain,
    equal(index_276,index_279),
    inference(rew,[status(thm),theory(equality)],[184,1212]),
    [iquote('0:Rew:184.0,1212.0')] ).

cnf(1343,plain,
    equal(rstore_tail(queue_275,index_279),q6),
    inference(rew,[status(thm),theory(equality)],[1341,386]),
    [iquote('0:Rew:1341.0,386.0')] ).

cnf(1344,plain,
    equal(p(index_279),index_273),
    inference(rew,[status(thm),theory(equality)],[1341,745]),
    [iquote('0:Rew:1341.0,745.0')] ).

cnf(1347,plain,
    equal(index_270,index_273),
    inference(rew,[status(thm),theory(equality)],[182,1213]),
    [iquote('0:Rew:182.0,1213.0')] ).

cnf(1349,plain,
    equal(rstore_tail(queue_269,index_273),q5),
    inference(rew,[status(thm),theory(equality)],[1347,387]),
    [iquote('0:Rew:1347.0,387.0')] ).

cnf(1350,plain,
    equal(p(index_273),index_267),
    inference(rew,[status(thm),theory(equality)],[1347,746]),
    [iquote('0:Rew:1347.0,746.0')] ).

cnf(1353,plain,
    equal(index_299,index_264),
    inference(rew,[status(thm),theory(equality)],[191,1214]),
    [iquote('0:Rew:191.0,1214.0')] ).

cnf(1356,plain,
    equal(p(index_264),index_300),
    inference(rew,[status(thm),theory(equality)],[1353,740]),
    [iquote('0:Rew:1353.0,740.0')] ).

cnf(1359,plain,
    equal(index_258,index_261),
    inference(rew,[status(thm),theory(equality)],[177,1215]),
    [iquote('0:Rew:177.0,1215.0')] ).

cnf(1360,plain,
    equal(s(index_255),index_261),
    inference(rew,[status(thm),theory(equality)],[1359,176]),
    [iquote('0:Rew:1359.0,176.0')] ).

cnf(1361,plain,
    equal(rstore_tail(queue_257,index_261),q48),
    inference(rew,[status(thm),theory(equality)],[1359,389]),
    [iquote('0:Rew:1359.0,389.0')] ).

cnf(1365,plain,
    equal(index_252,index_255),
    inference(rew,[status(thm),theory(equality)],[175,1216]),
    [iquote('0:Rew:175.0,1216.0')] ).

cnf(1366,plain,
    equal(s(index_249),index_255),
    inference(rew,[status(thm),theory(equality)],[1365,174]),
    [iquote('0:Rew:1365.0,174.0')] ).

cnf(1367,plain,
    equal(rstore_tail(queue_251,index_255),q47),
    inference(rew,[status(thm),theory(equality)],[1365,390]),
    [iquote('0:Rew:1365.0,390.0')] ).

cnf(1371,plain,
    equal(index_24,index_27),
    inference(rew,[status(thm),theory(equality)],[180,1217]),
    [iquote('0:Rew:180.0,1217.0')] ).

cnf(1373,plain,
    equal(rstore_tail(queue_23,index_27),q12),
    inference(rew,[status(thm),theory(equality)],[1371,391]),
    [iquote('0:Rew:1371.0,391.0')] ).

cnf(1374,plain,
    equal(p(index_27),index_21),
    inference(rew,[status(thm),theory(equality)],[1371,752]),
    [iquote('0:Rew:1371.0,752.0')] ).

cnf(1377,plain,
    equal(index_246,index_249),
    inference(rew,[status(thm),theory(equality)],[173,1218]),
    [iquote('0:Rew:173.0,1218.0')] ).

cnf(1378,plain,
    equal(s(index_243),index_249),
    inference(rew,[status(thm),theory(equality)],[1377,172]),
    [iquote('0:Rew:1377.0,172.0')] ).

cnf(1379,plain,
    equal(rstore_tail(queue_245,index_249),q46),
    inference(rew,[status(thm),theory(equality)],[1377,392]),
    [iquote('0:Rew:1377.0,392.0')] ).

cnf(1383,plain,
    equal(index_240,index_243),
    inference(rew,[status(thm),theory(equality)],[171,1219]),
    [iquote('0:Rew:171.0,1219.0')] ).

cnf(1384,plain,
    equal(s(index_237),index_243),
    inference(rew,[status(thm),theory(equality)],[1383,170]),
    [iquote('0:Rew:1383.0,170.0')] ).

cnf(1385,plain,
    equal(rstore_tail(queue_239,index_243),q45),
    inference(rew,[status(thm),theory(equality)],[1383,393]),
    [iquote('0:Rew:1383.0,393.0')] ).

cnf(1389,plain,
    equal(index_234,index_237),
    inference(rew,[status(thm),theory(equality)],[168,1220]),
    [iquote('0:Rew:168.0,1220.0')] ).

cnf(1390,plain,
    equal(s(index_231),index_237),
    inference(rew,[status(thm),theory(equality)],[1389,167]),
    [iquote('0:Rew:1389.0,167.0')] ).

cnf(1391,plain,
    equal(rstore_tail(queue_233,index_237),q44),
    inference(rew,[status(thm),theory(equality)],[1389,394]),
    [iquote('0:Rew:1389.0,394.0')] ).

cnf(1395,plain,
    equal(index_228,index_231),
    inference(rew,[status(thm),theory(equality)],[166,1221]),
    [iquote('0:Rew:166.0,1221.0')] ).

cnf(1396,plain,
    equal(s(index_225),index_231),
    inference(rew,[status(thm),theory(equality)],[1395,165]),
    [iquote('0:Rew:1395.0,165.0')] ).

cnf(1397,plain,
    equal(rstore_tail(queue_227,index_231),q43),
    inference(rew,[status(thm),theory(equality)],[1395,395]),
    [iquote('0:Rew:1395.0,395.0')] ).

cnf(1401,plain,
    equal(index_222,index_225),
    inference(rew,[status(thm),theory(equality)],[164,1222]),
    [iquote('0:Rew:164.0,1222.0')] ).

cnf(1402,plain,
    equal(s(index_219),index_225),
    inference(rew,[status(thm),theory(equality)],[1401,163]),
    [iquote('0:Rew:1401.0,163.0')] ).

cnf(1403,plain,
    equal(rstore_tail(queue_221,index_225),q42),
    inference(rew,[status(thm),theory(equality)],[1401,396]),
    [iquote('0:Rew:1401.0,396.0')] ).

cnf(1407,plain,
    equal(index_216,index_219),
    inference(rew,[status(thm),theory(equality)],[162,1223]),
    [iquote('0:Rew:162.0,1223.0')] ).

cnf(1408,plain,
    equal(s(index_213),index_219),
    inference(rew,[status(thm),theory(equality)],[1407,161]),
    [iquote('0:Rew:1407.0,161.0')] ).

cnf(1409,plain,
    equal(rstore_tail(queue_215,index_219),q41),
    inference(rew,[status(thm),theory(equality)],[1407,397]),
    [iquote('0:Rew:1407.0,397.0')] ).

cnf(1413,plain,
    equal(index_210,index_213),
    inference(rew,[status(thm),theory(equality)],[160,1224]),
    [iquote('0:Rew:160.0,1224.0')] ).

cnf(1414,plain,
    equal(s(index_207),index_213),
    inference(rew,[status(thm),theory(equality)],[1413,159]),
    [iquote('0:Rew:1413.0,159.0')] ).

cnf(1415,plain,
    equal(rstore_tail(queue_209,index_213),q40),
    inference(rew,[status(thm),theory(equality)],[1413,398]),
    [iquote('0:Rew:1413.0,398.0')] ).

cnf(1419,plain,
    equal(index_204,index_267),
    inference(rew,[status(thm),theory(equality)],[179,1225]),
    [iquote('0:Rew:179.0,1225.0')] ).

cnf(1421,plain,
    equal(rstore_tail(queue_203,index_267),q4),
    inference(rew,[status(thm),theory(equality)],[1419,399]),
    [iquote('0:Rew:1419.0,399.0')] ).

cnf(1422,plain,
    equal(p(index_267),index_201),
    inference(rew,[status(thm),theory(equality)],[1419,758]),
    [iquote('0:Rew:1419.0,758.0')] ).

cnf(1425,plain,
    equal(index_198,index_207),
    inference(rew,[status(thm),theory(equality)],[157,1226]),
    [iquote('0:Rew:157.0,1226.0')] ).

cnf(1426,plain,
    equal(s(index_195),index_207),
    inference(rew,[status(thm),theory(equality)],[1425,154]),
    [iquote('0:Rew:1425.0,154.0')] ).

cnf(1427,plain,
    equal(rstore_tail(queue_197,index_207),q39),
    inference(rew,[status(thm),theory(equality)],[1425,400]),
    [iquote('0:Rew:1425.0,400.0')] ).

cnf(1431,plain,
    equal(index_192,index_195),
    inference(rew,[status(thm),theory(equality)],[153,1227]),
    [iquote('0:Rew:153.0,1227.0')] ).

cnf(1432,plain,
    equal(s(index_189),index_195),
    inference(rew,[status(thm),theory(equality)],[1431,152]),
    [iquote('0:Rew:1431.0,152.0')] ).

cnf(1433,plain,
    equal(rstore_tail(queue_191,index_195),q38),
    inference(rew,[status(thm),theory(equality)],[1431,401]),
    [iquote('0:Rew:1431.0,401.0')] ).

cnf(1437,plain,
    equal(index_18,index_21),
    inference(rew,[status(thm),theory(equality)],[158,1228]),
    [iquote('0:Rew:158.0,1228.0')] ).

cnf(1439,plain,
    equal(rstore_tail(queue_17,index_21),q11),
    inference(rew,[status(thm),theory(equality)],[1437,402]),
    [iquote('0:Rew:1437.0,402.0')] ).

cnf(1440,plain,
    equal(p(index_21),index_15),
    inference(rew,[status(thm),theory(equality)],[1437,763]),
    [iquote('0:Rew:1437.0,763.0')] ).

cnf(1443,plain,
    equal(index_186,index_189),
    inference(rew,[status(thm),theory(equality)],[151,1229]),
    [iquote('0:Rew:151.0,1229.0')] ).

cnf(1444,plain,
    equal(s(index_183),index_189),
    inference(rew,[status(thm),theory(equality)],[1443,150]),
    [iquote('0:Rew:1443.0,150.0')] ).

cnf(1445,plain,
    equal(rstore_tail(queue_185,index_189),q37),
    inference(rew,[status(thm),theory(equality)],[1443,403]),
    [iquote('0:Rew:1443.0,403.0')] ).

cnf(1446,plain,
    equal(p(index_189),index_183),
    inference(rew,[status(thm),theory(equality)],[1443,761]),
    [iquote('0:Rew:1443.0,761.0')] ).

cnf(1449,plain,
    equal(index_180,index_183),
    inference(rew,[status(thm),theory(equality)],[149,1230]),
    [iquote('0:Rew:149.0,1230.0')] ).

cnf(1450,plain,
    equal(s(index_177),index_183),
    inference(rew,[status(thm),theory(equality)],[1449,148]),
    [iquote('0:Rew:1449.0,148.0')] ).

cnf(1451,plain,
    equal(rstore_tail(queue_179,index_183),q36),
    inference(rew,[status(thm),theory(equality)],[1449,404]),
    [iquote('0:Rew:1449.0,404.0')] ).

cnf(1455,plain,
    equal(index_174,index_177),
    inference(rew,[status(thm),theory(equality)],[146,1231]),
    [iquote('0:Rew:146.0,1231.0')] ).

cnf(1456,plain,
    equal(s(index_171),index_177),
    inference(rew,[status(thm),theory(equality)],[1455,145]),
    [iquote('0:Rew:1455.0,145.0')] ).

cnf(1457,plain,
    equal(rstore_tail(queue_173,index_177),q35),
    inference(rew,[status(thm),theory(equality)],[1455,405]),
    [iquote('0:Rew:1455.0,405.0')] ).

cnf(1461,plain,
    equal(index_168,index_171),
    inference(rew,[status(thm),theory(equality)],[144,1232]),
    [iquote('0:Rew:144.0,1232.0')] ).

cnf(1462,plain,
    equal(s(index_165),index_171),
    inference(rew,[status(thm),theory(equality)],[1461,143]),
    [iquote('0:Rew:1461.0,143.0')] ).

cnf(1463,plain,
    equal(rstore_tail(queue_167,index_171),q34),
    inference(rew,[status(thm),theory(equality)],[1461,406]),
    [iquote('0:Rew:1461.0,406.0')] ).

cnf(1467,plain,
    equal(index_162,index_165),
    inference(rew,[status(thm),theory(equality)],[142,1233]),
    [iquote('0:Rew:142.0,1233.0')] ).

cnf(1468,plain,
    equal(s(index_159),index_165),
    inference(rew,[status(thm),theory(equality)],[1467,141]),
    [iquote('0:Rew:1467.0,141.0')] ).

cnf(1469,plain,
    equal(rstore_tail(queue_161,index_165),q33),
    inference(rew,[status(thm),theory(equality)],[1467,407]),
    [iquote('0:Rew:1467.0,407.0')] ).

cnf(1473,plain,
    equal(index_156,index_159),
    inference(rew,[status(thm),theory(equality)],[140,1234]),
    [iquote('0:Rew:140.0,1234.0')] ).

cnf(1474,plain,
    equal(s(index_153),index_159),
    inference(rew,[status(thm),theory(equality)],[1473,139]),
    [iquote('0:Rew:1473.0,139.0')] ).

cnf(1475,plain,
    equal(rstore_tail(queue_155,index_159),q32),
    inference(rew,[status(thm),theory(equality)],[1473,408]),
    [iquote('0:Rew:1473.0,408.0')] ).

cnf(1479,plain,
    equal(index_150,index_153),
    inference(rew,[status(thm),theory(equality)],[138,1235]),
    [iquote('0:Rew:138.0,1235.0')] ).

cnf(1480,plain,
    equal(s(index_147),index_153),
    inference(rew,[status(thm),theory(equality)],[1479,137]),
    [iquote('0:Rew:1479.0,137.0')] ).

cnf(1481,plain,
    equal(rstore_tail(queue_149,index_153),q31),
    inference(rew,[status(thm),theory(equality)],[1479,409]),
    [iquote('0:Rew:1479.0,409.0')] ).

cnf(1485,plain,
    equal(index_144,index_147),
    inference(rew,[status(thm),theory(equality)],[135,1236]),
    [iquote('0:Rew:135.0,1236.0')] ).

cnf(1486,plain,
    equal(s(index_141),index_147),
    inference(rew,[status(thm),theory(equality)],[1485,134]),
    [iquote('0:Rew:1485.0,134.0')] ).

cnf(1487,plain,
    equal(rstore_tail(queue_143,index_147),q30),
    inference(rew,[status(thm),theory(equality)],[1485,410]),
    [iquote('0:Rew:1485.0,410.0')] ).

cnf(1491,plain,
    equal(index_138,index_201),
    inference(rew,[status(thm),theory(equality)],[155,1237]),
    [iquote('0:Rew:155.0,1237.0')] ).

cnf(1493,plain,
    equal(rstore_tail(queue_137,index_201),q3),
    inference(rew,[status(thm),theory(equality)],[1491,411]),
    [iquote('0:Rew:1491.0,411.0')] ).

cnf(1494,plain,
    equal(p(index_201),index_135),
    inference(rew,[status(thm),theory(equality)],[1491,770]),
    [iquote('0:Rew:1491.0,770.0')] ).

cnf(1497,plain,
    equal(index_132,index_141),
    inference(rew,[status(thm),theory(equality)],[133,1238]),
    [iquote('0:Rew:133.0,1238.0')] ).

cnf(1498,plain,
    equal(s(index_129),index_141),
    inference(rew,[status(thm),theory(equality)],[1497,130]),
    [iquote('0:Rew:1497.0,130.0')] ).

cnf(1499,plain,
    equal(rstore_tail(queue_131,index_141),q29),
    inference(rew,[status(thm),theory(equality)],[1497,412]),
    [iquote('0:Rew:1497.0,412.0')] ).

cnf(1503,plain,
    equal(index_12,index_15),
    inference(rew,[status(thm),theory(equality)],[136,1239]),
    [iquote('0:Rew:136.0,1239.0')] ).

cnf(1504,plain,
    equal(s(index_9),index_15),
    inference(rew,[status(thm),theory(equality)],[1503,125]),
    [iquote('0:Rew:1503.0,125.0')] ).

cnf(1505,plain,
    equal(rstore_tail(queue_11,index_15),q10),
    inference(rew,[status(thm),theory(equality)],[1503,413]),
    [iquote('0:Rew:1503.0,413.0')] ).

cnf(1506,plain,
    equal(p(index_15),index_9),
    inference(rew,[status(thm),theory(equality)],[1503,774]),
    [iquote('0:Rew:1503.0,774.0')] ).

cnf(1509,plain,
    equal(index_126,index_129),
    inference(rew,[status(thm),theory(equality)],[129,1240]),
    [iquote('0:Rew:129.0,1240.0')] ).

cnf(1510,plain,
    equal(s(index_123),index_129),
    inference(rew,[status(thm),theory(equality)],[1509,128]),
    [iquote('0:Rew:1509.0,128.0')] ).

cnf(1511,plain,
    equal(rstore_tail(queue_125,index_129),q28),
    inference(rew,[status(thm),theory(equality)],[1509,414]),
    [iquote('0:Rew:1509.0,414.0')] ).

cnf(1515,plain,
    equal(index_120,index_123),
    inference(rew,[status(thm),theory(equality)],[127,1241]),
    [iquote('0:Rew:127.0,1241.0')] ).

cnf(1516,plain,
    equal(s(index_117),index_123),
    inference(rew,[status(thm),theory(equality)],[1515,126]),
    [iquote('0:Rew:1515.0,126.0')] ).

cnf(1517,plain,
    equal(rstore_tail(queue_119,index_123),q27),
    inference(rew,[status(thm),theory(equality)],[1515,415]),
    [iquote('0:Rew:1515.0,415.0')] ).

cnf(1521,plain,
    equal(index_114,index_117),
    inference(rew,[status(thm),theory(equality)],[124,1242]),
    [iquote('0:Rew:124.0,1242.0')] ).

cnf(1522,plain,
    equal(s(index_111),index_117),
    inference(rew,[status(thm),theory(equality)],[1521,123]),
    [iquote('0:Rew:1521.0,123.0')] ).

cnf(1523,plain,
    equal(rstore_tail(queue_113,index_117),q26),
    inference(rew,[status(thm),theory(equality)],[1521,416]),
    [iquote('0:Rew:1521.0,416.0')] ).

cnf(1527,plain,
    equal(index_108,index_111),
    inference(rew,[status(thm),theory(equality)],[122,1243]),
    [iquote('0:Rew:122.0,1243.0')] ).

cnf(1528,plain,
    equal(s(index_105),index_111),
    inference(rew,[status(thm),theory(equality)],[1527,121]),
    [iquote('0:Rew:1527.0,121.0')] ).

cnf(1529,plain,
    equal(rstore_tail(queue_107,index_111),q25),
    inference(rew,[status(thm),theory(equality)],[1527,417]),
    [iquote('0:Rew:1527.0,417.0')] ).

cnf(1530,plain,
    equal(p(index_111),index_105),
    inference(rew,[status(thm),theory(equality)],[1527,776]),
    [iquote('0:Rew:1527.0,776.0')] ).

cnf(1533,plain,
    equal(index_102,index_105),
    inference(rew,[status(thm),theory(equality)],[120,1244]),
    [iquote('0:Rew:120.0,1244.0')] ).

cnf(1534,plain,
    equal(s(index_99),index_105),
    inference(rew,[status(thm),theory(equality)],[1533,119]),
    [iquote('0:Rew:1533.0,119.0')] ).

cnf(1535,plain,
    equal(rstore_tail(queue_101,index_105),q24),
    inference(rew,[status(thm),theory(equality)],[1533,418]),
    [iquote('0:Rew:1533.0,418.0')] ).

cnf(1536,plain,
    equal(p(index_105),index_99),
    inference(rew,[status(thm),theory(equality)],[1533,777]),
    [iquote('0:Rew:1533.0,777.0')] ).

cnf(1539,plain,
    equal(index_300,index_261),
    inference(rew,[status(thm),theory(equality)],[747,1356]),
    [iquote('0:Rew:747.0,1356.0')] ).

cnf(1540,plain,
    equal(select(earray_296,index_261),elem_301),
    inference(rew,[status(thm),theory(equality)],[1539,117]),
    [iquote('0:Rew:1539.0,117.0')] ).

cnf(1545,plain,
    equal(index_87,index_105),
    inference(rew,[status(thm),theory(equality)],[1254,1250,1534]),
    [iquote('0:Rew:1254.0,1250.0,1534.0,1250.0')] ).

cnf(1549,plain,
    equal(s(index_105),index_93),
    inference(rew,[status(thm),theory(equality)],[1545,1252]),
    [iquote('0:Rew:1545.0,1252.0')] ).

cnf(1553,plain,
    equal(p(index_105),index_81),
    inference(rew,[status(thm),theory(equality)],[1545,1260]),
    [iquote('0:Rew:1545.0,1260.0')] ).

cnf(1555,plain,
    equal(index_93,index_111),
    inference(rew,[status(thm),theory(equality)],[1528,1549]),
    [iquote('0:Rew:1528.0,1549.0')] ).

cnf(1559,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1555,1246]),
    [iquote('0:Rew:1555.0,1246.0')] ).

cnf(1560,plain,
    equal(p(index_99),index_111),
    inference(rew,[status(thm),theory(equality)],[1555,1248]),
    [iquote('0:Rew:1555.0,1248.0')] ).

cnf(1564,plain,
    equal(index_81,index_99),
    inference(rew,[status(thm),theory(equality)],[1536,1553]),
    [iquote('0:Rew:1536.0,1553.0')] ).

cnf(1569,plain,
    equal(p(index_99),index_75),
    inference(rew,[status(thm),theory(equality)],[1564,1266]),
    [iquote('0:Rew:1564.0,1266.0')] ).

cnf(1573,plain,
    equal(index_117,index_99),
    inference(rew,[status(thm),theory(equality)],[1522,1559]),
    [iquote('0:Rew:1522.0,1559.0')] ).

cnf(1577,plain,
    equal(s(index_99),index_123),
    inference(rew,[status(thm),theory(equality)],[1573,1516]),
    [iquote('0:Rew:1573.0,1516.0')] ).

cnf(1580,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1573,1522]),
    [iquote('0:Rew:1573.0,1522.0')] ).

cnf(1583,plain,
    equal(index_75,index_111),
    inference(rew,[status(thm),theory(equality)],[1560,1569]),
    [iquote('0:Rew:1560.0,1569.0')] ).

cnf(1588,plain,
    equal(p(index_111),index_63),
    inference(rew,[status(thm),theory(equality)],[1583,1284]),
    [iquote('0:Rew:1583.0,1284.0')] ).

cnf(1592,plain,
    equal(index_123,index_105),
    inference(rew,[status(thm),theory(equality)],[1534,1577]),
    [iquote('0:Rew:1534.0,1577.0')] ).

cnf(1596,plain,
    equal(s(index_105),index_129),
    inference(rew,[status(thm),theory(equality)],[1592,1510]),
    [iquote('0:Rew:1592.0,1510.0')] ).

cnf(1601,plain,
    equal(index_63,index_105),
    inference(rew,[status(thm),theory(equality)],[1530,1588]),
    [iquote('0:Rew:1530.0,1588.0')] ).

cnf(1606,plain,
    equal(p(index_105),index_57),
    inference(rew,[status(thm),theory(equality)],[1601,1290]),
    [iquote('0:Rew:1601.0,1290.0')] ).

cnf(1610,plain,
    equal(index_129,index_111),
    inference(rew,[status(thm),theory(equality)],[1528,1596]),
    [iquote('0:Rew:1528.0,1596.0')] ).

cnf(1614,plain,
    equal(s(index_111),index_141),
    inference(rew,[status(thm),theory(equality)],[1610,1498]),
    [iquote('0:Rew:1610.0,1498.0')] ).

cnf(1619,plain,
    equal(index_57,index_99),
    inference(rew,[status(thm),theory(equality)],[1536,1606]),
    [iquote('0:Rew:1536.0,1606.0')] ).

cnf(1624,plain,
    equal(p(index_99),index_51),
    inference(rew,[status(thm),theory(equality)],[1619,1296]),
    [iquote('0:Rew:1619.0,1296.0')] ).

cnf(1628,plain,
    equal(index_141,index_99),
    inference(rew,[status(thm),theory(equality)],[1580,1614]),
    [iquote('0:Rew:1580.0,1614.0')] ).

cnf(1632,plain,
    equal(s(index_99),index_147),
    inference(rew,[status(thm),theory(equality)],[1628,1486]),
    [iquote('0:Rew:1628.0,1486.0')] ).

cnf(1637,plain,
    equal(index_51,index_111),
    inference(rew,[status(thm),theory(equality)],[1560,1624]),
    [iquote('0:Rew:1560.0,1624.0')] ).

cnf(1642,plain,
    equal(p(index_111),index_45),
    inference(rew,[status(thm),theory(equality)],[1637,1302]),
    [iquote('0:Rew:1637.0,1302.0')] ).

cnf(1646,plain,
    equal(index_147,index_105),
    inference(rew,[status(thm),theory(equality)],[1534,1632]),
    [iquote('0:Rew:1534.0,1632.0')] ).

cnf(1650,plain,
    equal(s(index_105),index_153),
    inference(rew,[status(thm),theory(equality)],[1646,1480]),
    [iquote('0:Rew:1646.0,1480.0')] ).

cnf(1655,plain,
    equal(index_45,index_105),
    inference(rew,[status(thm),theory(equality)],[1530,1642]),
    [iquote('0:Rew:1530.0,1642.0')] ).

cnf(1660,plain,
    equal(p(index_105),index_39),
    inference(rew,[status(thm),theory(equality)],[1655,1308]),
    [iquote('0:Rew:1655.0,1308.0')] ).

cnf(1664,plain,
    equal(index_153,index_111),
    inference(rew,[status(thm),theory(equality)],[1528,1650]),
    [iquote('0:Rew:1528.0,1650.0')] ).

cnf(1668,plain,
    equal(s(index_111),index_159),
    inference(rew,[status(thm),theory(equality)],[1664,1474]),
    [iquote('0:Rew:1664.0,1474.0')] ).

cnf(1673,plain,
    equal(index_39,index_99),
    inference(rew,[status(thm),theory(equality)],[1536,1660]),
    [iquote('0:Rew:1536.0,1660.0')] ).

cnf(1678,plain,
    equal(p(index_99),index_33),
    inference(rew,[status(thm),theory(equality)],[1673,1314]),
    [iquote('0:Rew:1673.0,1314.0')] ).

cnf(1682,plain,
    equal(index_159,index_99),
    inference(rew,[status(thm),theory(equality)],[1580,1668]),
    [iquote('0:Rew:1580.0,1668.0')] ).

cnf(1686,plain,
    equal(s(index_99),index_165),
    inference(rew,[status(thm),theory(equality)],[1682,1468]),
    [iquote('0:Rew:1682.0,1468.0')] ).

cnf(1691,plain,
    equal(index_33,index_111),
    inference(rew,[status(thm),theory(equality)],[1560,1678]),
    [iquote('0:Rew:1560.0,1678.0')] ).

cnf(1696,plain,
    equal(p(index_111),index_27),
    inference(rew,[status(thm),theory(equality)],[1691,1320]),
    [iquote('0:Rew:1691.0,1320.0')] ).

cnf(1700,plain,
    equal(index_165,index_105),
    inference(rew,[status(thm),theory(equality)],[1534,1686]),
    [iquote('0:Rew:1534.0,1686.0')] ).

cnf(1704,plain,
    equal(s(index_105),index_171),
    inference(rew,[status(thm),theory(equality)],[1700,1462]),
    [iquote('0:Rew:1700.0,1462.0')] ).

cnf(1709,plain,
    equal(index_27,index_105),
    inference(rew,[status(thm),theory(equality)],[1530,1696]),
    [iquote('0:Rew:1530.0,1696.0')] ).

cnf(1714,plain,
    equal(p(index_105),index_21),
    inference(rew,[status(thm),theory(equality)],[1709,1374]),
    [iquote('0:Rew:1709.0,1374.0')] ).

cnf(1718,plain,
    equal(index_171,index_111),
    inference(rew,[status(thm),theory(equality)],[1528,1704]),
    [iquote('0:Rew:1528.0,1704.0')] ).

cnf(1722,plain,
    equal(s(index_111),index_177),
    inference(rew,[status(thm),theory(equality)],[1718,1456]),
    [iquote('0:Rew:1718.0,1456.0')] ).

cnf(1727,plain,
    equal(index_21,index_99),
    inference(rew,[status(thm),theory(equality)],[1536,1714]),
    [iquote('0:Rew:1536.0,1714.0')] ).

cnf(1732,plain,
    equal(p(index_99),index_15),
    inference(rew,[status(thm),theory(equality)],[1727,1440]),
    [iquote('0:Rew:1727.0,1440.0')] ).

cnf(1736,plain,
    equal(index_177,index_99),
    inference(rew,[status(thm),theory(equality)],[1580,1722]),
    [iquote('0:Rew:1580.0,1722.0')] ).

cnf(1740,plain,
    equal(s(index_99),index_183),
    inference(rew,[status(thm),theory(equality)],[1736,1450]),
    [iquote('0:Rew:1736.0,1450.0')] ).

cnf(1745,plain,
    equal(index_15,index_111),
    inference(rew,[status(thm),theory(equality)],[1560,1732]),
    [iquote('0:Rew:1560.0,1732.0')] ).

cnf(1749,plain,
    equal(s(index_9),index_111),
    inference(rew,[status(thm),theory(equality)],[1745,1504]),
    [iquote('0:Rew:1745.0,1504.0')] ).

cnf(1750,plain,
    equal(p(index_111),index_9),
    inference(rew,[status(thm),theory(equality)],[1745,1506]),
    [iquote('0:Rew:1745.0,1506.0')] ).

cnf(1754,plain,
    equal(index_183,index_105),
    inference(rew,[status(thm),theory(equality)],[1534,1740]),
    [iquote('0:Rew:1534.0,1740.0')] ).

cnf(1758,plain,
    equal(s(index_105),index_189),
    inference(rew,[status(thm),theory(equality)],[1754,1444]),
    [iquote('0:Rew:1754.0,1444.0')] ).

cnf(1759,plain,
    equal(p(index_189),index_105),
    inference(rew,[status(thm),theory(equality)],[1754,1446]),
    [iquote('0:Rew:1754.0,1446.0')] ).

cnf(1763,plain,
    equal(index_105,index_9),
    inference(rew,[status(thm),theory(equality)],[1530,1750]),
    [iquote('0:Rew:1530.0,1750.0')] ).

cnf(1770,plain,
    equal(s(index_99),index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1534]),
    [iquote('0:Rew:1763.0,1534.0')] ).

cnf(1771,plain,
    equal(p(index_9),index_99),
    inference(rew,[status(thm),theory(equality)],[1763,1536]),
    [iquote('0:Rew:1763.0,1536.0')] ).

cnf(1773,plain,
    equal(index_87,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1545]),
    [iquote('0:Rew:1763.0,1545.0')] ).

cnf(1776,plain,
    equal(index_123,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1592]),
    [iquote('0:Rew:1763.0,1592.0')] ).

cnf(1778,plain,
    equal(index_63,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1601]),
    [iquote('0:Rew:1763.0,1601.0')] ).

cnf(1782,plain,
    equal(index_147,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1646]),
    [iquote('0:Rew:1763.0,1646.0')] ).

cnf(1784,plain,
    equal(index_45,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1655]),
    [iquote('0:Rew:1763.0,1655.0')] ).

cnf(1788,plain,
    equal(index_165,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1700]),
    [iquote('0:Rew:1763.0,1700.0')] ).

cnf(1790,plain,
    equal(index_27,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1709]),
    [iquote('0:Rew:1763.0,1709.0')] ).

cnf(1794,plain,
    equal(index_183,index_9),
    inference(rew,[status(thm),theory(equality)],[1763,1754]),
    [iquote('0:Rew:1763.0,1754.0')] ).

cnf(1797,plain,
    equal(index_189,index_111),
    inference(rew,[status(thm),theory(equality)],[1749,1758,1763]),
    [iquote('0:Rew:1749.0,1758.0,1763.0,1758.0')] ).

cnf(1801,plain,
    equal(s(index_111),index_195),
    inference(rew,[status(thm),theory(equality)],[1797,1432]),
    [iquote('0:Rew:1797.0,1432.0')] ).

cnf(1804,plain,
    equal(p(index_111),index_9),
    inference(rew,[status(thm),theory(equality)],[1797,1759,1763]),
    [iquote('0:Rew:1797.0,1759.0,1763.0,1759.0')] ).

cnf(1806,plain,
    equal(index_291,index_99),
    inference(rew,[status(thm),theory(equality)],[1326,1771]),
    [iquote('0:Rew:1326.0,1771.0')] ).

cnf(1811,plain,
    equal(p(index_9),index_99),
    inference(rew,[status(thm),theory(equality)],[1806,1326]),
    [iquote('0:Rew:1806.0,1326.0')] ).

cnf(1814,plain,
    equal(p(index_99),index_285),
    inference(rew,[status(thm),theory(equality)],[1806,1332]),
    [iquote('0:Rew:1806.0,1332.0')] ).

cnf(1816,plain,
    equal(index_195,index_99),
    inference(rew,[status(thm),theory(equality)],[1580,1801]),
    [iquote('0:Rew:1580.0,1801.0')] ).

cnf(1820,plain,
    equal(s(index_99),index_207),
    inference(rew,[status(thm),theory(equality)],[1816,1426]),
    [iquote('0:Rew:1816.0,1426.0')] ).

cnf(1825,plain,
    equal(index_285,index_111),
    inference(rew,[status(thm),theory(equality)],[1560,1814]),
    [iquote('0:Rew:1560.0,1814.0')] ).

cnf(1830,plain,
    equal(p(index_111),index_279),
    inference(rew,[status(thm),theory(equality)],[1825,1338]),
    [iquote('0:Rew:1825.0,1338.0')] ).

cnf(1834,plain,
    equal(index_207,index_9),
    inference(rew,[status(thm),theory(equality)],[1770,1820]),
    [iquote('0:Rew:1770.0,1820.0')] ).

cnf(1838,plain,
    equal(s(index_9),index_213),
    inference(rew,[status(thm),theory(equality)],[1834,1414]),
    [iquote('0:Rew:1834.0,1414.0')] ).

cnf(1843,plain,
    equal(index_279,index_9),
    inference(rew,[status(thm),theory(equality)],[1804,1830]),
    [iquote('0:Rew:1804.0,1830.0')] ).

cnf(1848,plain,
    equal(p(index_9),index_273),
    inference(rew,[status(thm),theory(equality)],[1843,1344]),
    [iquote('0:Rew:1843.0,1344.0')] ).

cnf(1852,plain,
    equal(index_213,index_111),
    inference(rew,[status(thm),theory(equality)],[1749,1838]),
    [iquote('0:Rew:1749.0,1838.0')] ).

cnf(1856,plain,
    equal(s(index_111),index_219),
    inference(rew,[status(thm),theory(equality)],[1852,1408]),
    [iquote('0:Rew:1852.0,1408.0')] ).

cnf(1861,plain,
    equal(index_273,index_99),
    inference(rew,[status(thm),theory(equality)],[1811,1848]),
    [iquote('0:Rew:1811.0,1848.0')] ).

cnf(1866,plain,
    equal(p(index_99),index_267),
    inference(rew,[status(thm),theory(equality)],[1861,1350]),
    [iquote('0:Rew:1861.0,1350.0')] ).

cnf(1870,plain,
    equal(index_219,index_99),
    inference(rew,[status(thm),theory(equality)],[1580,1856]),
    [iquote('0:Rew:1580.0,1856.0')] ).

cnf(1874,plain,
    equal(s(index_99),index_225),
    inference(rew,[status(thm),theory(equality)],[1870,1402]),
    [iquote('0:Rew:1870.0,1402.0')] ).

cnf(1879,plain,
    equal(index_267,index_111),
    inference(rew,[status(thm),theory(equality)],[1560,1866]),
    [iquote('0:Rew:1560.0,1866.0')] ).

cnf(1884,plain,
    equal(p(index_111),index_201),
    inference(rew,[status(thm),theory(equality)],[1879,1422]),
    [iquote('0:Rew:1879.0,1422.0')] ).

cnf(1888,plain,
    equal(index_225,index_9),
    inference(rew,[status(thm),theory(equality)],[1770,1874]),
    [iquote('0:Rew:1770.0,1874.0')] ).

cnf(1892,plain,
    equal(s(index_9),index_231),
    inference(rew,[status(thm),theory(equality)],[1888,1396]),
    [iquote('0:Rew:1888.0,1396.0')] ).

cnf(1897,plain,
    equal(index_201,index_9),
    inference(rew,[status(thm),theory(equality)],[1804,1884]),
    [iquote('0:Rew:1804.0,1884.0')] ).

cnf(1902,plain,
    equal(p(index_9),index_135),
    inference(rew,[status(thm),theory(equality)],[1897,1494]),
    [iquote('0:Rew:1897.0,1494.0')] ).

cnf(1906,plain,
    equal(index_231,index_111),
    inference(rew,[status(thm),theory(equality)],[1749,1892]),
    [iquote('0:Rew:1749.0,1892.0')] ).

cnf(1910,plain,
    equal(s(index_111),index_237),
    inference(rew,[status(thm),theory(equality)],[1906,1390]),
    [iquote('0:Rew:1906.0,1390.0')] ).

cnf(1915,plain,
    equal(index_135,index_99),
    inference(rew,[status(thm),theory(equality)],[1811,1902]),
    [iquote('0:Rew:1811.0,1902.0')] ).

cnf(1920,plain,
    equal(p(index_99),index_69),
    inference(rew,[status(thm),theory(equality)],[1915,1272]),
    [iquote('0:Rew:1915.0,1272.0')] ).

cnf(1924,plain,
    equal(index_237,index_99),
    inference(rew,[status(thm),theory(equality)],[1580,1910]),
    [iquote('0:Rew:1580.0,1910.0')] ).

cnf(1928,plain,
    equal(s(index_99),index_243),
    inference(rew,[status(thm),theory(equality)],[1924,1384]),
    [iquote('0:Rew:1924.0,1384.0')] ).

cnf(1933,plain,
    equal(index_69,index_111),
    inference(rew,[status(thm),theory(equality)],[1560,1920]),
    [iquote('0:Rew:1560.0,1920.0')] ).

cnf(1938,plain,
    equal(p(index_111),index_3),
    inference(rew,[status(thm),theory(equality)],[1933,1278]),
    [iquote('0:Rew:1933.0,1278.0')] ).

cnf(1942,plain,
    equal(index_243,index_9),
    inference(rew,[status(thm),theory(equality)],[1770,1928]),
    [iquote('0:Rew:1770.0,1928.0')] ).

cnf(1946,plain,
    equal(s(index_9),index_249),
    inference(rew,[status(thm),theory(equality)],[1942,1378]),
    [iquote('0:Rew:1942.0,1378.0')] ).

cnf(1951,plain,
    equal(index_3,index_9),
    inference(rew,[status(thm),theory(equality)],[1804,1938]),
    [iquote('0:Rew:1804.0,1938.0')] ).

cnf(1952,plain,
    equal(rselect_tail(q0),index_9),
    inference(rew,[status(thm),theory(equality)],[1951,192]),
    [iquote('0:Rew:1951.0,192.0')] ).

cnf(1956,plain,
    equal(index_249,index_111),
    inference(rew,[status(thm),theory(equality)],[1749,1946]),
    [iquote('0:Rew:1749.0,1946.0')] ).

cnf(1960,plain,
    equal(s(index_111),index_255),
    inference(rew,[status(thm),theory(equality)],[1956,1366]),
    [iquote('0:Rew:1956.0,1366.0')] ).

cnf(1965,plain,
    equal(index_255,index_99),
    inference(rew,[status(thm),theory(equality)],[1580,1960]),
    [iquote('0:Rew:1580.0,1960.0')] ).

cnf(1969,plain,
    equal(s(index_99),index_261),
    inference(rew,[status(thm),theory(equality)],[1965,1360]),
    [iquote('0:Rew:1965.0,1360.0')] ).

cnf(1975,plain,
    equal(index_261,index_9),
    inference(rew,[status(thm),theory(equality)],[1770,1969]),
    [iquote('0:Rew:1770.0,1969.0')] ).

cnf(1976,plain,
    equal(s(index_9),index_264),
    inference(rew,[status(thm),theory(equality)],[1975,178]),
    [iquote('0:Rew:1975.0,178.0')] ).

cnf(1985,plain,
    equal(index_264,index_111),
    inference(rew,[status(thm),theory(equality)],[1749,1976]),
    [iquote('0:Rew:1749.0,1976.0')] ).

cnf(1986,plain,
    equal(rstore_tail(queue_263,index_111),q49),
    inference(rew,[status(thm),theory(equality)],[1985,388]),
    [iquote('0:Rew:1985.0,388.0')] ).

cnf(1992,plain,
    equal(rstore_tail(queue_89,index_111),q22),
    inference(rew,[status(thm),theory(equality)],[1555,1253]),
    [iquote('0:Rew:1555.0,1253.0')] ).

cnf(1994,plain,
    equal(rstore_tail(queue_83,index_9),q21),
    inference(rew,[status(thm),theory(equality)],[1773,1259]),
    [iquote('0:Rew:1773.0,1259.0')] ).

cnf(1996,plain,
    equal(rstore_tail(queue_77,index_99),q20),
    inference(rew,[status(thm),theory(equality)],[1564,1265]),
    [iquote('0:Rew:1564.0,1265.0')] ).

cnf(1998,plain,
    equal(rstore_tail(queue_71,index_99),q2),
    inference(rew,[status(thm),theory(equality)],[1915,1271]),
    [iquote('0:Rew:1915.0,1271.0')] ).

cnf(2000,plain,
    equal(rstore_tail(queue_5,index_111),q1),
    inference(rew,[status(thm),theory(equality)],[1933,1277]),
    [iquote('0:Rew:1933.0,1277.0')] ).

cnf(2002,plain,
    equal(rstore_tail(queue_65,index_111),q19),
    inference(rew,[status(thm),theory(equality)],[1583,1283]),
    [iquote('0:Rew:1583.0,1283.0')] ).

cnf(2004,plain,
    equal(rstore_tail(queue_59,index_9),q18),
    inference(rew,[status(thm),theory(equality)],[1778,1289]),
    [iquote('0:Rew:1778.0,1289.0')] ).

cnf(2006,plain,
    equal(rstore_tail(queue_53,index_99),q17),
    inference(rew,[status(thm),theory(equality)],[1619,1295]),
    [iquote('0:Rew:1619.0,1295.0')] ).

cnf(2008,plain,
    equal(rstore_tail(queue_47,index_111),q16),
    inference(rew,[status(thm),theory(equality)],[1637,1301]),
    [iquote('0:Rew:1637.0,1301.0')] ).

cnf(2010,plain,
    equal(rstore_tail(queue_41,index_9),q15),
    inference(rew,[status(thm),theory(equality)],[1784,1307]),
    [iquote('0:Rew:1784.0,1307.0')] ).

cnf(2012,plain,
    equal(rstore_tail(queue_35,index_99),q14),
    inference(rew,[status(thm),theory(equality)],[1673,1313]),
    [iquote('0:Rew:1673.0,1313.0')] ).

cnf(2014,plain,
    equal(rstore_tail(queue_29,index_111),q13),
    inference(rew,[status(thm),theory(equality)],[1691,1319]),
    [iquote('0:Rew:1691.0,1319.0')] ).

cnf(2017,plain,
    equal(rstore_tail(queue_287,index_99),q8),
    inference(rew,[status(thm),theory(equality)],[1806,1331]),
    [iquote('0:Rew:1806.0,1331.0')] ).

cnf(2019,plain,
    equal(rstore_tail(queue_281,index_111),q7),
    inference(rew,[status(thm),theory(equality)],[1825,1337]),
    [iquote('0:Rew:1825.0,1337.0')] ).

cnf(2021,plain,
    equal(rstore_tail(queue_275,index_9),q6),
    inference(rew,[status(thm),theory(equality)],[1843,1343]),
    [iquote('0:Rew:1843.0,1343.0')] ).

cnf(2023,plain,
    equal(rstore_tail(queue_269,index_99),q5),
    inference(rew,[status(thm),theory(equality)],[1861,1349]),
    [iquote('0:Rew:1861.0,1349.0')] ).

cnf(2026,plain,
    equal(rstore_tail(queue_257,index_9),q48),
    inference(rew,[status(thm),theory(equality)],[1975,1361]),
    [iquote('0:Rew:1975.0,1361.0')] ).

cnf(2028,plain,
    equal(rstore_tail(queue_251,index_99),q47),
    inference(rew,[status(thm),theory(equality)],[1965,1367]),
    [iquote('0:Rew:1965.0,1367.0')] ).

cnf(2030,plain,
    equal(rstore_tail(queue_23,index_9),q12),
    inference(rew,[status(thm),theory(equality)],[1790,1373]),
    [iquote('0:Rew:1790.0,1373.0')] ).

cnf(2032,plain,
    equal(rstore_tail(queue_245,index_111),q46),
    inference(rew,[status(thm),theory(equality)],[1956,1379]),
    [iquote('0:Rew:1956.0,1379.0')] ).

cnf(2034,plain,
    equal(rstore_tail(queue_239,index_9),q45),
    inference(rew,[status(thm),theory(equality)],[1942,1385]),
    [iquote('0:Rew:1942.0,1385.0')] ).

cnf(2036,plain,
    equal(rstore_tail(queue_233,index_99),q44),
    inference(rew,[status(thm),theory(equality)],[1924,1391]),
    [iquote('0:Rew:1924.0,1391.0')] ).

cnf(2038,plain,
    equal(rstore_tail(queue_227,index_111),q43),
    inference(rew,[status(thm),theory(equality)],[1906,1397]),
    [iquote('0:Rew:1906.0,1397.0')] ).

cnf(2040,plain,
    equal(rstore_tail(queue_221,index_9),q42),
    inference(rew,[status(thm),theory(equality)],[1888,1403]),
    [iquote('0:Rew:1888.0,1403.0')] ).

cnf(2042,plain,
    equal(rstore_tail(queue_215,index_99),q41),
    inference(rew,[status(thm),theory(equality)],[1870,1409]),
    [iquote('0:Rew:1870.0,1409.0')] ).

cnf(2044,plain,
    equal(rstore_tail(queue_209,index_111),q40),
    inference(rew,[status(thm),theory(equality)],[1852,1415]),
    [iquote('0:Rew:1852.0,1415.0')] ).

cnf(2046,plain,
    equal(rstore_tail(queue_203,index_111),q4),
    inference(rew,[status(thm),theory(equality)],[1879,1421]),
    [iquote('0:Rew:1879.0,1421.0')] ).

cnf(2048,plain,
    equal(rstore_tail(queue_197,index_9),q39),
    inference(rew,[status(thm),theory(equality)],[1834,1427]),
    [iquote('0:Rew:1834.0,1427.0')] ).

cnf(2050,plain,
    equal(rstore_tail(queue_191,index_99),q38),
    inference(rew,[status(thm),theory(equality)],[1816,1433]),
    [iquote('0:Rew:1816.0,1433.0')] ).

cnf(2052,plain,
    equal(rstore_tail(queue_17,index_99),q11),
    inference(rew,[status(thm),theory(equality)],[1727,1439]),
    [iquote('0:Rew:1727.0,1439.0')] ).

cnf(2054,plain,
    equal(rstore_tail(queue_185,index_111),q37),
    inference(rew,[status(thm),theory(equality)],[1797,1445]),
    [iquote('0:Rew:1797.0,1445.0')] ).

cnf(2056,plain,
    equal(rstore_tail(queue_179,index_9),q36),
    inference(rew,[status(thm),theory(equality)],[1794,1451]),
    [iquote('0:Rew:1794.0,1451.0')] ).

cnf(2058,plain,
    equal(rstore_tail(queue_173,index_99),q35),
    inference(rew,[status(thm),theory(equality)],[1736,1457]),
    [iquote('0:Rew:1736.0,1457.0')] ).

cnf(2060,plain,
    equal(rstore_tail(queue_167,index_111),q34),
    inference(rew,[status(thm),theory(equality)],[1718,1463]),
    [iquote('0:Rew:1718.0,1463.0')] ).

cnf(2062,plain,
    equal(rstore_tail(queue_161,index_9),q33),
    inference(rew,[status(thm),theory(equality)],[1788,1469]),
    [iquote('0:Rew:1788.0,1469.0')] ).

cnf(2064,plain,
    equal(rstore_tail(queue_155,index_99),q32),
    inference(rew,[status(thm),theory(equality)],[1682,1475]),
    [iquote('0:Rew:1682.0,1475.0')] ).

cnf(2066,plain,
    equal(rstore_tail(queue_149,index_111),q31),
    inference(rew,[status(thm),theory(equality)],[1664,1481]),
    [iquote('0:Rew:1664.0,1481.0')] ).

cnf(2068,plain,
    equal(rstore_tail(queue_143,index_9),q30),
    inference(rew,[status(thm),theory(equality)],[1782,1487]),
    [iquote('0:Rew:1782.0,1487.0')] ).

cnf(2070,plain,
    equal(rstore_tail(queue_137,index_9),q3),
    inference(rew,[status(thm),theory(equality)],[1897,1493]),
    [iquote('0:Rew:1897.0,1493.0')] ).

cnf(2072,plain,
    equal(rstore_tail(queue_131,index_99),q29),
    inference(rew,[status(thm),theory(equality)],[1628,1499]),
    [iquote('0:Rew:1628.0,1499.0')] ).

cnf(2074,plain,
    equal(rstore_tail(queue_11,index_111),q10),
    inference(rew,[status(thm),theory(equality)],[1745,1505]),
    [iquote('0:Rew:1745.0,1505.0')] ).

cnf(2076,plain,
    equal(rstore_tail(queue_125,index_111),q28),
    inference(rew,[status(thm),theory(equality)],[1610,1511]),
    [iquote('0:Rew:1610.0,1511.0')] ).

cnf(2078,plain,
    equal(rstore_tail(queue_119,index_9),q27),
    inference(rew,[status(thm),theory(equality)],[1776,1517]),
    [iquote('0:Rew:1776.0,1517.0')] ).

cnf(2080,plain,
    equal(rstore_tail(queue_113,index_99),q26),
    inference(rew,[status(thm),theory(equality)],[1573,1523]),
    [iquote('0:Rew:1573.0,1523.0')] ).

cnf(2083,plain,
    equal(rstore_tail(queue_101,index_9),q24),
    inference(rew,[status(thm),theory(equality)],[1763,1535]),
    [iquote('0:Rew:1763.0,1535.0')] ).

cnf(2085,plain,
    equal(select(earray_296,index_9),elem_301),
    inference(rew,[status(thm),theory(equality)],[1975,1540]),
    [iquote('0:Rew:1975.0,1540.0')] ).

cnf(2408,plain,
    equal(rselect_head(q0),index_0),
    inference(spr,[status(thm),theory(equality)],[419,4]),
    [iquote('0:SpR:419.0,4.0')] ).

cnf(2483,plain,
    equal(rselect_tail(q),rselect_tail(q0)),
    inference(spr,[status(thm),theory(equality)],[419,11]),
    [iquote('0:SpR:419.0,11.0')] ).

cnf(2484,plain,
    equal(index_0,index_9),
    inference(rew,[status(thm),theory(equality)],[118,2483,1952]),
    [iquote('0:Rew:118.0,2483.0,1952.0,2483.0')] ).

cnf(2487,plain,
    equal(rselect_head(q0),index_9),
    inference(rew,[status(thm),theory(equality)],[2484,2408]),
    [iquote('0:Rew:2484.0,2408.0')] ).

cnf(2609,plain,
    equal(rselect_head(queue_95),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[317,9]),
    [iquote('0:SpR:317.0,9.0')] ).

cnf(2610,plain,
    equal(rselect_head(queue_89),rselect_head(q21)),
    inference(spr,[status(thm),theory(equality)],[315,9]),
    [iquote('0:SpR:315.0,9.0')] ).

cnf(2611,plain,
    equal(rselect_head(queue_83),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[313,9]),
    [iquote('0:SpR:313.0,9.0')] ).

cnf(2612,plain,
    equal(rselect_head(queue_77),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[311,9]),
    [iquote('0:SpR:311.0,9.0')] ).

cnf(2613,plain,
    equal(rselect_head(queue_71),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[309,9]),
    [iquote('0:SpR:309.0,9.0')] ).

cnf(2614,plain,
    equal(rselect_head(queue_65),rselect_head(q18)),
    inference(spr,[status(thm),theory(equality)],[306,9]),
    [iquote('0:SpR:306.0,9.0')] ).

cnf(2615,plain,
    equal(rselect_head(queue_59),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[304,9]),
    [iquote('0:SpR:304.0,9.0')] ).

cnf(2616,plain,
    equal(rselect_head(queue_53),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[302,9]),
    [iquote('0:SpR:302.0,9.0')] ).

cnf(2617,plain,
    equal(rselect_head(queue_5),rselect_head(q0)),
    inference(spr,[status(thm),theory(equality)],[301,9]),
    [iquote('0:SpR:301.0,9.0')] ).

cnf(2618,plain,
    equal(rselect_head(queue_47),rselect_head(q15)),
    inference(spr,[status(thm),theory(equality)],[299,9]),
    [iquote('0:SpR:299.0,9.0')] ).

cnf(2619,plain,
    equal(rselect_head(queue_41),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[297,9]),
    [iquote('0:SpR:297.0,9.0')] ).

cnf(2620,plain,
    equal(rselect_head(queue_35),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[295,9]),
    [iquote('0:SpR:295.0,9.0')] ).

cnf(2621,plain,
    equal(rselect_head(queue_293),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[292,9]),
    [iquote('0:SpR:292.0,9.0')] ).

cnf(2622,plain,
    equal(rselect_head(queue_29),rselect_head(q12)),
    inference(spr,[status(thm),theory(equality)],[291,9]),
    [iquote('0:SpR:291.0,9.0')] ).

cnf(2623,plain,
    equal(rselect_head(queue_287),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[289,9]),
    [iquote('0:SpR:289.0,9.0')] ).

cnf(2624,plain,
    equal(rselect_head(queue_281),rselect_head(q6)),
    inference(spr,[status(thm),theory(equality)],[287,9]),
    [iquote('0:SpR:287.0,9.0')] ).

cnf(2625,plain,
    equal(rselect_head(queue_275),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[285,9]),
    [iquote('0:SpR:285.0,9.0')] ).

cnf(2626,plain,
    equal(rselect_head(queue_269),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[283,9]),
    [iquote('0:SpR:283.0,9.0')] ).

cnf(2627,plain,
    equal(rselect_head(queue_263),rselect_head(q48)),
    inference(spr,[status(thm),theory(equality)],[281,9]),
    [iquote('0:SpR:281.0,9.0')] ).

cnf(2628,plain,
    equal(rselect_head(queue_257),rselect_head(q47)),
    inference(spr,[status(thm),theory(equality)],[279,9]),
    [iquote('0:SpR:279.0,9.0')] ).

cnf(2629,plain,
    equal(rselect_head(queue_251),rselect_head(q46)),
    inference(spr,[status(thm),theory(equality)],[277,9]),
    [iquote('0:SpR:277.0,9.0')] ).

cnf(2630,plain,
    equal(rselect_head(queue_245),rselect_head(q45)),
    inference(spr,[status(thm),theory(equality)],[274,9]),
    [iquote('0:SpR:274.0,9.0')] ).

cnf(2631,plain,
    equal(rselect_head(queue_239),rselect_head(q44)),
    inference(spr,[status(thm),theory(equality)],[272,9]),
    [iquote('0:SpR:272.0,9.0')] ).

cnf(2632,plain,
    equal(rselect_head(queue_233),rselect_head(q43)),
    inference(spr,[status(thm),theory(equality)],[270,9]),
    [iquote('0:SpR:270.0,9.0')] ).

cnf(2633,plain,
    equal(rselect_head(queue_23),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[269,9]),
    [iquote('0:SpR:269.0,9.0')] ).

cnf(2634,plain,
    equal(rselect_head(queue_227),rselect_head(q42)),
    inference(spr,[status(thm),theory(equality)],[267,9]),
    [iquote('0:SpR:267.0,9.0')] ).

cnf(2635,plain,
    equal(rselect_head(queue_221),rselect_head(q41)),
    inference(spr,[status(thm),theory(equality)],[265,9]),
    [iquote('0:SpR:265.0,9.0')] ).

cnf(2636,plain,
    equal(rselect_head(queue_215),rselect_head(q40)),
    inference(spr,[status(thm),theory(equality)],[263,9]),
    [iquote('0:SpR:263.0,9.0')] ).

cnf(2637,plain,
    equal(rselect_head(queue_209),rselect_head(q39)),
    inference(spr,[status(thm),theory(equality)],[261,9]),
    [iquote('0:SpR:261.0,9.0')] ).

cnf(2638,plain,
    equal(rselect_head(queue_203),rselect_head(q3)),
    inference(spr,[status(thm),theory(equality)],[259,9]),
    [iquote('0:SpR:259.0,9.0')] ).

cnf(2639,plain,
    equal(rselect_head(queue_197),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[257,9]),
    [iquote('0:SpR:257.0,9.0')] ).

cnf(2640,plain,
    equal(rselect_head(queue_191),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[255,9]),
    [iquote('0:SpR:255.0,9.0')] ).

cnf(2641,plain,
    equal(rselect_head(queue_185),rselect_head(q36)),
    inference(spr,[status(thm),theory(equality)],[252,9]),
    [iquote('0:SpR:252.0,9.0')] ).

cnf(2642,plain,
    equal(rselect_head(queue_179),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[250,9]),
    [iquote('0:SpR:250.0,9.0')] ).

cnf(2643,plain,
    equal(rselect_head(queue_173),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[248,9]),
    [iquote('0:SpR:248.0,9.0')] ).

cnf(2644,plain,
    equal(rselect_head(queue_17),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[247,9]),
    [iquote('0:SpR:247.0,9.0')] ).

cnf(2645,plain,
    equal(rselect_head(queue_167),rselect_head(q33)),
    inference(spr,[status(thm),theory(equality)],[245,9]),
    [iquote('0:SpR:245.0,9.0')] ).

cnf(2646,plain,
    equal(rselect_head(queue_161),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[243,9]),
    [iquote('0:SpR:243.0,9.0')] ).

cnf(2647,plain,
    equal(rselect_head(queue_155),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[241,9]),
    [iquote('0:SpR:241.0,9.0')] ).

cnf(2648,plain,
    equal(rselect_head(queue_149),rselect_head(q30)),
    inference(spr,[status(thm),theory(equality)],[239,9]),
    [iquote('0:SpR:239.0,9.0')] ).

cnf(2649,plain,
    equal(rselect_head(queue_143),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[237,9]),
    [iquote('0:SpR:237.0,9.0')] ).

cnf(2650,plain,
    equal(rselect_head(queue_137),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[235,9]),
    [iquote('0:SpR:235.0,9.0')] ).

cnf(2651,plain,
    equal(rselect_head(queue_131),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[233,9]),
    [iquote('0:SpR:233.0,9.0')] ).

cnf(2652,plain,
    equal(rselect_head(queue_125),rselect_head(q27)),
    inference(spr,[status(thm),theory(equality)],[230,9]),
    [iquote('0:SpR:230.0,9.0')] ).

cnf(2653,plain,
    equal(rselect_head(queue_119),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[228,9]),
    [iquote('0:SpR:228.0,9.0')] ).

cnf(2654,plain,
    equal(rselect_head(queue_113),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[226,9]),
    [iquote('0:SpR:226.0,9.0')] ).

cnf(2655,plain,
    equal(rselect_head(queue_11),rselect_head(q9)),
    inference(spr,[status(thm),theory(equality)],[225,9]),
    [iquote('0:SpR:225.0,9.0')] ).

cnf(2656,plain,
    equal(rselect_head(queue_107),rselect_head(q24)),
    inference(spr,[status(thm),theory(equality)],[223,9]),
    [iquote('0:SpR:223.0,9.0')] ).

cnf(2657,plain,
    equal(rselect_head(queue_101),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[221,9]),
    [iquote('0:SpR:221.0,9.0')] ).

cnf(2658,plain,
    equal(rselect_head(queue_5),index_9),
    inference(rew,[status(thm),theory(equality)],[2487,2617]),
    [iquote('0:Rew:2487.0,2617.0')] ).

cnf(2664,plain,
    equal(rselect_head(queue_95),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[1247,8]),
    [iquote('0:SpR:1247.0,8.0')] ).

cnf(2665,plain,
    equal(rselect_head(queue_77),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[1996,8]),
    [iquote('0:SpR:1996.0,8.0')] ).

cnf(2666,plain,
    equal(rselect_head(queue_71),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[1998,8]),
    [iquote('0:SpR:1998.0,8.0')] ).

cnf(2667,plain,
    equal(rselect_head(queue_53),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[2006,8]),
    [iquote('0:SpR:2006.0,8.0')] ).

cnf(2668,plain,
    equal(rselect_head(queue_35),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[2012,8]),
    [iquote('0:SpR:2012.0,8.0')] ).

cnf(2669,plain,
    equal(rselect_head(queue_287),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[2017,8]),
    [iquote('0:SpR:2017.0,8.0')] ).

cnf(2670,plain,
    equal(rselect_head(queue_269),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[2023,8]),
    [iquote('0:SpR:2023.0,8.0')] ).

cnf(2671,plain,
    equal(rselect_head(queue_251),rselect_head(q47)),
    inference(spr,[status(thm),theory(equality)],[2028,8]),
    [iquote('0:SpR:2028.0,8.0')] ).

cnf(2672,plain,
    equal(rselect_head(queue_233),rselect_head(q44)),
    inference(spr,[status(thm),theory(equality)],[2036,8]),
    [iquote('0:SpR:2036.0,8.0')] ).

cnf(2673,plain,
    equal(rselect_head(queue_215),rselect_head(q41)),
    inference(spr,[status(thm),theory(equality)],[2042,8]),
    [iquote('0:SpR:2042.0,8.0')] ).

cnf(2674,plain,
    equal(rselect_head(queue_191),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[2050,8]),
    [iquote('0:SpR:2050.0,8.0')] ).

cnf(2675,plain,
    equal(rselect_head(queue_17),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[2052,8]),
    [iquote('0:SpR:2052.0,8.0')] ).

cnf(2676,plain,
    equal(rselect_head(queue_173),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[2058,8]),
    [iquote('0:SpR:2058.0,8.0')] ).

cnf(2677,plain,
    equal(rselect_head(queue_155),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[2064,8]),
    [iquote('0:SpR:2064.0,8.0')] ).

cnf(2678,plain,
    equal(rselect_head(queue_131),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[2072,8]),
    [iquote('0:SpR:2072.0,8.0')] ).

cnf(2679,plain,
    equal(rselect_head(queue_113),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[2080,8]),
    [iquote('0:SpR:2080.0,8.0')] ).

cnf(2680,plain,
    equal(rselect_head(queue_89),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[1992,8]),
    [iquote('0:SpR:1992.0,8.0')] ).

cnf(2681,plain,
    equal(rselect_head(queue_5),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[2000,8]),
    [iquote('0:SpR:2000.0,8.0')] ).

cnf(2682,plain,
    equal(rselect_head(queue_65),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[2002,8]),
    [iquote('0:SpR:2002.0,8.0')] ).

cnf(2683,plain,
    equal(rselect_head(queue_47),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[2008,8]),
    [iquote('0:SpR:2008.0,8.0')] ).

cnf(2684,plain,
    equal(rselect_head(queue_29),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[2014,8]),
    [iquote('0:SpR:2014.0,8.0')] ).

cnf(2685,plain,
    equal(rselect_head(queue_281),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[2019,8]),
    [iquote('0:SpR:2019.0,8.0')] ).

cnf(2686,plain,
    equal(rselect_head(queue_245),rselect_head(q46)),
    inference(spr,[status(thm),theory(equality)],[2032,8]),
    [iquote('0:SpR:2032.0,8.0')] ).

cnf(2687,plain,
    equal(rselect_head(queue_227),rselect_head(q43)),
    inference(spr,[status(thm),theory(equality)],[2038,8]),
    [iquote('0:SpR:2038.0,8.0')] ).

cnf(2688,plain,
    equal(rselect_head(queue_209),rselect_head(q40)),
    inference(spr,[status(thm),theory(equality)],[2044,8]),
    [iquote('0:SpR:2044.0,8.0')] ).

cnf(2689,plain,
    equal(rselect_head(queue_203),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[2046,8]),
    [iquote('0:SpR:2046.0,8.0')] ).

cnf(2690,plain,
    equal(rselect_head(queue_185),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[2054,8]),
    [iquote('0:SpR:2054.0,8.0')] ).

cnf(2691,plain,
    equal(rselect_head(queue_167),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[2060,8]),
    [iquote('0:SpR:2060.0,8.0')] ).

cnf(2692,plain,
    equal(rselect_head(queue_149),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[2066,8]),
    [iquote('0:SpR:2066.0,8.0')] ).

cnf(2693,plain,
    equal(rselect_head(queue_11),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[2074,8]),
    [iquote('0:SpR:2074.0,8.0')] ).

cnf(2694,plain,
    equal(rselect_head(queue_125),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[2076,8]),
    [iquote('0:SpR:2076.0,8.0')] ).

cnf(2695,plain,
    equal(rselect_head(queue_107),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[1529,8]),
    [iquote('0:SpR:1529.0,8.0')] ).

cnf(2696,plain,
    equal(rselect_head(queue_263),rselect_head(q49)),
    inference(spr,[status(thm),theory(equality)],[1986,8]),
    [iquote('0:SpR:1986.0,8.0')] ).

cnf(2697,plain,
    equal(rselect_head(queue_83),rselect_head(q21)),
    inference(spr,[status(thm),theory(equality)],[1994,8]),
    [iquote('0:SpR:1994.0,8.0')] ).

cnf(2698,plain,
    equal(rselect_head(queue_59),rselect_head(q18)),
    inference(spr,[status(thm),theory(equality)],[2004,8]),
    [iquote('0:SpR:2004.0,8.0')] ).

cnf(2699,plain,
    equal(rselect_head(queue_41),rselect_head(q15)),
    inference(spr,[status(thm),theory(equality)],[2010,8]),
    [iquote('0:SpR:2010.0,8.0')] ).

cnf(2700,plain,
    equal(rselect_head(queue_293),rselect_head(q9)),
    inference(spr,[status(thm),theory(equality)],[1325,8]),
    [iquote('0:SpR:1325.0,8.0')] ).

cnf(2701,plain,
    equal(rselect_head(queue_275),rselect_head(q6)),
    inference(spr,[status(thm),theory(equality)],[2021,8]),
    [iquote('0:SpR:2021.0,8.0')] ).

cnf(2702,plain,
    equal(rselect_head(queue_257),rselect_head(q48)),
    inference(spr,[status(thm),theory(equality)],[2026,8]),
    [iquote('0:SpR:2026.0,8.0')] ).

cnf(2703,plain,
    equal(rselect_head(queue_23),rselect_head(q12)),
    inference(spr,[status(thm),theory(equality)],[2030,8]),
    [iquote('0:SpR:2030.0,8.0')] ).

cnf(2704,plain,
    equal(rselect_head(queue_239),rselect_head(q45)),
    inference(spr,[status(thm),theory(equality)],[2034,8]),
    [iquote('0:SpR:2034.0,8.0')] ).

cnf(2705,plain,
    equal(rselect_head(queue_221),rselect_head(q42)),
    inference(spr,[status(thm),theory(equality)],[2040,8]),
    [iquote('0:SpR:2040.0,8.0')] ).

cnf(2706,plain,
    equal(rselect_head(queue_197),rselect_head(q39)),
    inference(spr,[status(thm),theory(equality)],[2048,8]),
    [iquote('0:SpR:2048.0,8.0')] ).

cnf(2707,plain,
    equal(rselect_head(queue_179),rselect_head(q36)),
    inference(spr,[status(thm),theory(equality)],[2056,8]),
    [iquote('0:SpR:2056.0,8.0')] ).

cnf(2708,plain,
    equal(rselect_head(queue_161),rselect_head(q33)),
    inference(spr,[status(thm),theory(equality)],[2062,8]),
    [iquote('0:SpR:2062.0,8.0')] ).

cnf(2709,plain,
    equal(rselect_head(queue_143),rselect_head(q30)),
    inference(spr,[status(thm),theory(equality)],[2068,8]),
    [iquote('0:SpR:2068.0,8.0')] ).

cnf(2710,plain,
    equal(rselect_head(queue_137),rselect_head(q3)),
    inference(spr,[status(thm),theory(equality)],[2070,8]),
    [iquote('0:SpR:2070.0,8.0')] ).

cnf(2711,plain,
    equal(rselect_head(queue_119),rselect_head(q27)),
    inference(spr,[status(thm),theory(equality)],[2078,8]),
    [iquote('0:SpR:2078.0,8.0')] ).

cnf(2712,plain,
    equal(rselect_head(queue_101),rselect_head(q24)),
    inference(spr,[status(thm),theory(equality)],[2083,8]),
    [iquote('0:SpR:2083.0,8.0')] ).

cnf(2713,plain,
    equal(rselect_head(q23),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[2609,2664]),
    [iquote('0:Rew:2609.0,2664.0')] ).

cnf(2714,plain,
    equal(rselect_head(queue_101),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[2713,2657]),
    [iquote('0:Rew:2713.0,2657.0')] ).

cnf(2715,plain,
    equal(rselect_head(q20),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[2612,2665]),
    [iquote('0:Rew:2612.0,2665.0')] ).

cnf(2716,plain,
    equal(rselect_head(queue_83),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[2715,2611]),
    [iquote('0:Rew:2715.0,2611.0')] ).

cnf(2717,plain,
    equal(rselect_head(q1),rselect_head(q2)),
    inference(rew,[status(thm),theory(equality)],[2613,2666]),
    [iquote('0:Rew:2613.0,2666.0')] ).

cnf(2719,plain,
    equal(rselect_head(q17),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[2616,2667]),
    [iquote('0:Rew:2616.0,2667.0')] ).

cnf(2720,plain,
    equal(rselect_head(queue_59),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[2719,2615]),
    [iquote('0:Rew:2719.0,2615.0')] ).

cnf(2721,plain,
    equal(rselect_head(q14),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[2620,2668]),
    [iquote('0:Rew:2620.0,2668.0')] ).

cnf(2722,plain,
    equal(rselect_head(queue_41),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[2721,2619]),
    [iquote('0:Rew:2721.0,2619.0')] ).

cnf(2723,plain,
    equal(rselect_head(q8),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[2623,2669]),
    [iquote('0:Rew:2623.0,2669.0')] ).

cnf(2724,plain,
    equal(rselect_head(queue_293),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[2723,2621]),
    [iquote('0:Rew:2723.0,2621.0')] ).

cnf(2725,plain,
    equal(rselect_head(q5),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[2626,2670]),
    [iquote('0:Rew:2626.0,2670.0')] ).

cnf(2726,plain,
    equal(rselect_head(queue_275),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[2725,2625]),
    [iquote('0:Rew:2725.0,2625.0')] ).

cnf(2727,plain,
    equal(rselect_head(q47),rselect_head(q46)),
    inference(rew,[status(thm),theory(equality)],[2629,2671]),
    [iquote('0:Rew:2629.0,2671.0')] ).

cnf(2728,plain,
    equal(rselect_head(queue_257),rselect_head(q46)),
    inference(rew,[status(thm),theory(equality)],[2727,2628]),
    [iquote('0:Rew:2727.0,2628.0')] ).

cnf(2729,plain,
    equal(rselect_head(q44),rselect_head(q43)),
    inference(rew,[status(thm),theory(equality)],[2632,2672]),
    [iquote('0:Rew:2632.0,2672.0')] ).

cnf(2730,plain,
    equal(rselect_head(queue_239),rselect_head(q43)),
    inference(rew,[status(thm),theory(equality)],[2729,2631]),
    [iquote('0:Rew:2729.0,2631.0')] ).

cnf(2731,plain,
    equal(rselect_head(q41),rselect_head(q40)),
    inference(rew,[status(thm),theory(equality)],[2636,2673]),
    [iquote('0:Rew:2636.0,2673.0')] ).

cnf(2732,plain,
    equal(rselect_head(queue_221),rselect_head(q40)),
    inference(rew,[status(thm),theory(equality)],[2731,2635]),
    [iquote('0:Rew:2731.0,2635.0')] ).

cnf(2733,plain,
    equal(rselect_head(q38),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[2640,2674]),
    [iquote('0:Rew:2640.0,2674.0')] ).

cnf(2734,plain,
    equal(rselect_head(queue_197),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[2733,2639]),
    [iquote('0:Rew:2733.0,2639.0')] ).

cnf(2735,plain,
    equal(rselect_head(q11),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2644,2675]),
    [iquote('0:Rew:2644.0,2675.0')] ).

cnf(2736,plain,
    equal(rselect_head(queue_23),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2735,2633]),
    [iquote('0:Rew:2735.0,2633.0')] ).

cnf(2737,plain,
    equal(rselect_head(q35),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[2643,2676]),
    [iquote('0:Rew:2643.0,2676.0')] ).

cnf(2738,plain,
    equal(rselect_head(queue_179),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[2737,2642]),
    [iquote('0:Rew:2737.0,2642.0')] ).

cnf(2739,plain,
    equal(rselect_head(q32),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[2647,2677]),
    [iquote('0:Rew:2647.0,2677.0')] ).

cnf(2740,plain,
    equal(rselect_head(queue_161),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[2739,2646]),
    [iquote('0:Rew:2739.0,2646.0')] ).

cnf(2741,plain,
    equal(rselect_head(q29),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[2651,2678]),
    [iquote('0:Rew:2651.0,2678.0')] ).

cnf(2742,plain,
    equal(rselect_head(queue_143),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[2741,2649]),
    [iquote('0:Rew:2741.0,2649.0')] ).

cnf(2743,plain,
    equal(rselect_head(q26),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[2654,2679]),
    [iquote('0:Rew:2654.0,2679.0')] ).

cnf(2744,plain,
    equal(rselect_head(queue_119),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[2743,2653]),
    [iquote('0:Rew:2743.0,2653.0')] ).

cnf(2745,plain,
    equal(rselect_head(q22),rselect_head(q21)),
    inference(rew,[status(thm),theory(equality)],[2610,2680]),
    [iquote('0:Rew:2610.0,2680.0')] ).

cnf(2748,plain,
    equal(rselect_head(q2),index_9),
    inference(rew,[status(thm),theory(equality)],[2658,2681,2717]),
    [iquote('0:Rew:2658.0,2681.0,2717.0,2681.0')] ).

cnf(2749,plain,
    equal(rselect_head(queue_137),index_9),
    inference(rew,[status(thm),theory(equality)],[2748,2650]),
    [iquote('0:Rew:2748.0,2650.0')] ).

cnf(2751,plain,
    equal(rselect_head(q19),rselect_head(q18)),
    inference(rew,[status(thm),theory(equality)],[2614,2682]),
    [iquote('0:Rew:2614.0,2682.0')] ).

cnf(2754,plain,
    equal(rselect_head(q16),rselect_head(q15)),
    inference(rew,[status(thm),theory(equality)],[2618,2683]),
    [iquote('0:Rew:2618.0,2683.0')] ).

cnf(2757,plain,
    equal(rselect_head(q13),rselect_head(q12)),
    inference(rew,[status(thm),theory(equality)],[2622,2684]),
    [iquote('0:Rew:2622.0,2684.0')] ).

cnf(2760,plain,
    equal(rselect_head(q7),rselect_head(q6)),
    inference(rew,[status(thm),theory(equality)],[2624,2685]),
    [iquote('0:Rew:2624.0,2685.0')] ).

cnf(2763,plain,
    equal(rselect_head(q46),rselect_head(q45)),
    inference(rew,[status(thm),theory(equality)],[2630,2686]),
    [iquote('0:Rew:2630.0,2686.0')] ).

cnf(2766,plain,
    equal(rselect_head(q43),rselect_head(q42)),
    inference(rew,[status(thm),theory(equality)],[2634,2687]),
    [iquote('0:Rew:2634.0,2687.0')] ).

cnf(2769,plain,
    equal(rselect_head(q40),rselect_head(q39)),
    inference(rew,[status(thm),theory(equality)],[2637,2688]),
    [iquote('0:Rew:2637.0,2688.0')] ).

cnf(2772,plain,
    equal(rselect_head(q4),rselect_head(q3)),
    inference(rew,[status(thm),theory(equality)],[2638,2689]),
    [iquote('0:Rew:2638.0,2689.0')] ).

cnf(2775,plain,
    equal(rselect_head(q37),rselect_head(q36)),
    inference(rew,[status(thm),theory(equality)],[2641,2690]),
    [iquote('0:Rew:2641.0,2690.0')] ).

cnf(2778,plain,
    equal(rselect_head(q34),rselect_head(q33)),
    inference(rew,[status(thm),theory(equality)],[2645,2691]),
    [iquote('0:Rew:2645.0,2691.0')] ).

cnf(2781,plain,
    equal(rselect_head(q31),rselect_head(q30)),
    inference(rew,[status(thm),theory(equality)],[2648,2692]),
    [iquote('0:Rew:2648.0,2692.0')] ).

cnf(2784,plain,
    equal(rselect_head(q9),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2655,2693]),
    [iquote('0:Rew:2655.0,2693.0')] ).

cnf(2786,plain,
    equal(rselect_head(q28),rselect_head(q27)),
    inference(rew,[status(thm),theory(equality)],[2652,2694]),
    [iquote('0:Rew:2652.0,2694.0')] ).

cnf(2789,plain,
    equal(rselect_head(q25),rselect_head(q24)),
    inference(rew,[status(thm),theory(equality)],[2656,2695]),
    [iquote('0:Rew:2656.0,2695.0')] ).

cnf(2792,plain,
    equal(rselect_head(queue_263),index_297),
    inference(rew,[status(thm),theory(equality)],[190,2696]),
    [iquote('0:Rew:190.0,2696.0')] ).

cnf(2793,plain,
    equal(rselect_head(q48),index_297),
    inference(rew,[status(thm),theory(equality)],[2627,2792]),
    [iquote('0:Rew:2627.0,2792.0')] ).

cnf(2795,plain,
    equal(rselect_head(queue_293),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2784,2700]),
    [iquote('0:Rew:2784.0,2700.0')] ).

cnf(2796,plain,
    equal(rselect_head(queue_257),index_297),
    inference(rew,[status(thm),theory(equality)],[2793,2702]),
    [iquote('0:Rew:2793.0,2702.0')] ).

cnf(2797,plain,
    equal(rselect_head(q3),index_9),
    inference(rew,[status(thm),theory(equality)],[2749,2710]),
    [iquote('0:Rew:2749.0,2710.0')] ).

cnf(2799,plain,
    equal(rselect_head(q4),index_9),
    inference(rew,[status(thm),theory(equality)],[2797,2772]),
    [iquote('0:Rew:2797.0,2772.0')] ).

cnf(2800,plain,
    equal(rselect_head(q21),rselect_head(q24)),
    inference(rew,[status(thm),theory(equality)],[2712,2714,2745]),
    [iquote('0:Rew:2712.0,2714.0,2745.0,2714.0')] ).

cnf(2803,plain,
    equal(rselect_head(queue_83),rselect_head(q24)),
    inference(rew,[status(thm),theory(equality)],[2800,2697]),
    [iquote('0:Rew:2800.0,2697.0')] ).

cnf(2804,plain,
    equal(rselect_head(queue_83),rselect_head(q18)),
    inference(rew,[status(thm),theory(equality)],[2751,2716]),
    [iquote('0:Rew:2751.0,2716.0')] ).

cnf(2806,plain,
    equal(rselect_head(q18),rselect_head(q15)),
    inference(rew,[status(thm),theory(equality)],[2698,2720,2754]),
    [iquote('0:Rew:2698.0,2720.0,2754.0,2720.0')] ).

cnf(2810,plain,
    equal(rselect_head(queue_83),rselect_head(q15)),
    inference(rew,[status(thm),theory(equality)],[2806,2804]),
    [iquote('0:Rew:2806.0,2804.0')] ).

cnf(2811,plain,
    equal(rselect_head(q15),rselect_head(q12)),
    inference(rew,[status(thm),theory(equality)],[2699,2722,2757]),
    [iquote('0:Rew:2699.0,2722.0,2757.0,2722.0')] ).

cnf(2816,plain,
    equal(rselect_head(q6),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2795,2724,2760]),
    [iquote('0:Rew:2795.0,2724.0,2760.0,2724.0')] ).

cnf(2819,plain,
    equal(rselect_head(queue_275),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2816,2701]),
    [iquote('0:Rew:2816.0,2701.0')] ).

cnf(2820,plain,
    equal(rselect_head(queue_275),index_9),
    inference(rew,[status(thm),theory(equality)],[2799,2726]),
    [iquote('0:Rew:2799.0,2726.0')] ).

cnf(2821,plain,
    equal(rselect_head(q45),index_297),
    inference(rew,[status(thm),theory(equality)],[2796,2728,2763]),
    [iquote('0:Rew:2796.0,2728.0,2763.0,2728.0')] ).

cnf(2824,plain,
    equal(rselect_head(queue_239),index_297),
    inference(rew,[status(thm),theory(equality)],[2821,2704]),
    [iquote('0:Rew:2821.0,2704.0')] ).

cnf(2825,plain,
    equal(rselect_head(q42),index_297),
    inference(rew,[status(thm),theory(equality)],[2824,2730,2766]),
    [iquote('0:Rew:2824.0,2730.0,2766.0,2730.0')] ).

cnf(2828,plain,
    equal(rselect_head(queue_221),index_297),
    inference(rew,[status(thm),theory(equality)],[2825,2705]),
    [iquote('0:Rew:2825.0,2705.0')] ).

cnf(2829,plain,
    equal(rselect_head(q39),index_297),
    inference(rew,[status(thm),theory(equality)],[2828,2732,2769]),
    [iquote('0:Rew:2828.0,2732.0,2769.0,2732.0')] ).

cnf(2832,plain,
    equal(rselect_head(queue_197),index_297),
    inference(rew,[status(thm),theory(equality)],[2829,2706]),
    [iquote('0:Rew:2829.0,2706.0')] ).

cnf(2833,plain,
    equal(rselect_head(q36),index_297),
    inference(rew,[status(thm),theory(equality)],[2832,2734,2775]),
    [iquote('0:Rew:2832.0,2734.0,2775.0,2734.0')] ).

cnf(2836,plain,
    equal(rselect_head(queue_179),index_297),
    inference(rew,[status(thm),theory(equality)],[2833,2707]),
    [iquote('0:Rew:2833.0,2707.0')] ).

cnf(2837,plain,
    equal(rselect_head(q12),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2703,2736]),
    [iquote('0:Rew:2703.0,2736.0')] ).

cnf(2841,plain,
    equal(rselect_head(q15),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2837,2811]),
    [iquote('0:Rew:2837.0,2811.0')] ).

cnf(2842,plain,
    equal(rselect_head(q33),index_297),
    inference(rew,[status(thm),theory(equality)],[2836,2738,2778]),
    [iquote('0:Rew:2836.0,2738.0,2778.0,2738.0')] ).

cnf(2845,plain,
    equal(rselect_head(queue_161),index_297),
    inference(rew,[status(thm),theory(equality)],[2842,2708]),
    [iquote('0:Rew:2842.0,2708.0')] ).

cnf(2846,plain,
    equal(rselect_head(q30),index_297),
    inference(rew,[status(thm),theory(equality)],[2845,2740,2781]),
    [iquote('0:Rew:2845.0,2740.0,2781.0,2740.0')] ).

cnf(2849,plain,
    equal(rselect_head(queue_143),index_297),
    inference(rew,[status(thm),theory(equality)],[2846,2709]),
    [iquote('0:Rew:2846.0,2709.0')] ).

cnf(2850,plain,
    equal(rselect_head(q27),index_297),
    inference(rew,[status(thm),theory(equality)],[2849,2742,2786]),
    [iquote('0:Rew:2849.0,2742.0,2786.0,2742.0')] ).

cnf(2853,plain,
    equal(rselect_head(queue_119),index_297),
    inference(rew,[status(thm),theory(equality)],[2850,2711]),
    [iquote('0:Rew:2850.0,2711.0')] ).

cnf(2854,plain,
    equal(rselect_head(q24),index_297),
    inference(rew,[status(thm),theory(equality)],[2853,2744,2789]),
    [iquote('0:Rew:2853.0,2744.0,2789.0,2744.0')] ).

cnf(2885,plain,
    equal(rselect_head(queue_83),index_297),
    inference(rew,[status(thm),theory(equality)],[2854,2803]),
    [iquote('0:Rew:2854.0,2803.0')] ).

cnf(2886,plain,
    equal(rselect_head(q15),index_297),
    inference(rew,[status(thm),theory(equality)],[2885,2810]),
    [iquote('0:Rew:2885.0,2810.0')] ).

cnf(2898,plain,
    equal(rselect_head(q10),index_9),
    inference(rew,[status(thm),theory(equality)],[2820,2819]),
    [iquote('0:Rew:2820.0,2819.0')] ).

cnf(2919,plain,
    equal(index_297,index_9),
    inference(rew,[status(thm),theory(equality)],[2886,2841,2898]),
    [iquote('0:Rew:2886.0,2841.0,2898.0,2841.0')] ).

cnf(2921,plain,
    equal(select(earray_296,index_9),elem_298),
    inference(rew,[status(thm),theory(equality)],[2919,116]),
    [iquote('0:Rew:2919.0,116.0')] ).

cnf(2987,plain,
    equal(elem_301,elem_298),
    inference(rew,[status(thm),theory(equality)],[2085,2921]),
    [iquote('0:Rew:2085.0,2921.0')] ).

cnf(2988,plain,
    $false,
    inference(mrr,[status(thm)],[2987,369]),
    [iquote('0:MRR:2987.0,369.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV570-1.049 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 19:35:54 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.78/0.96  
% 0.78/0.96  SPASS V 3.9 
% 0.78/0.96  SPASS beiseite: Proof found.
% 0.78/0.96  % SZS status Theorem
% 0.78/0.96  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.78/0.96  SPASS derived 2140 clauses, backtracked 0 clauses, performed 0 splits and kept 1444 clauses.
% 0.78/0.96  SPASS allocated 64955 KBytes.
% 0.78/0.96  SPASS spent	0:00:00.58 on the problem.
% 0.78/0.96  		0:00:00.04 for the input.
% 0.78/0.96  		0:00:00.00 for the FLOTTER CNF translation.
% 0.78/0.96  		0:00:00.03 for inferences.
% 0.78/0.96  		0:00:00.00 for the backtracking.
% 0.78/0.96  		0:00:00.40 for the reduction.
% 0.78/0.96  
% 0.78/0.96  
% 0.78/0.96  Here is a proof with depth 2, length 891 :
% 0.78/0.96  % SZS output start Refutation
% See solution above
% 0.82/1.01  Formulae used in the proof : a1_head a1_tail a2_head_tail a2_head_seq a2_tail_head ps circular hyp99 hyp100 hyp101 hyp102 hyp103 hyp104 hyp105 hyp106 hyp107 hyp108 hyp109 hyp110 hyp111 hyp112 hyp113 hyp114 hyp115 hyp116 hyp117 hyp118 hyp119 hyp120 hyp121 hyp122 hyp123 hyp124 hyp125 hyp126 hyp127 hyp128 hyp129 hyp130 hyp131 hyp132 hyp133 hyp134 hyp135 hyp136 hyp137 hyp138 hyp139 hyp140 hyp141 hyp142 hyp143 hyp144 hyp145 hyp146 hyp147 hyp148 hyp149 hyp150 hyp151 hyp152 hyp153 hyp154 hyp155 hyp156 hyp157 hyp158 hyp159 hyp160 hyp161 hyp162 hyp163 hyp164 hyp165 hyp166 hyp167 hyp168 hyp169 hyp170 hyp171 hyp172 hyp173 hyp174 hyp175 hyp176 hyp177 hyp178 hyp179 hyp180 hyp181 hyp182 hyp183 hyp184 hyp185 hyp186 hyp187 hyp188 hyp189 hyp190 hyp191 hyp192 hyp193 hyp194 hyp195 hyp196 hyp197 hyp198 hyp199 hyp200 hyp201 hyp202 hyp203 hyp204 hyp205 hyp206 hyp207 hyp208 hyp209 hyp210 hyp211 hyp212 hyp213 hyp214 hyp215 hyp216 hyp217 hyp218 hyp219 hyp220 hyp221 hyp222 hyp223 hyp224 hyp225 hyp226 hyp227 hyp228 hyp229 hyp230 hyp231 hyp232 hyp233 hyp234 hyp235 hyp236 hyp237 hyp238 hyp239 hyp240 hyp241 hyp242 hyp243 hyp244 hyp245 hyp246 hyp247 hyp248 hyp249 hyp250 hyp251 hyp252 hyp253 hyp254 hyp255 hyp256 hyp257 hyp258 hyp259 hyp260 hyp261 hyp262 hyp263 hyp264 hyp265 hyp266 hyp267 hyp268 hyp269 hyp270 hyp271 hyp272 hyp273 hyp274 hyp275 hyp276 hyp277 hyp278 hyp279 hyp280 hyp281 hyp282 hyp283 hyp284 hyp285 hyp286 hyp287 hyp288 hyp289 hyp290 hyp291 hyp292 hyp293 hyp294 hyp295 hyp296 hyp297 hyp298 hyp299 hyp300 hyp301 hyp302 hyp303 hyp304 hyp305 hyp306 hyp307 hyp308 hyp309 hyp310 hyp311 hyp312 hyp313 hyp314 hyp315 hyp316 hyp317 hyp318 hyp319 hyp320 hyp321 hyp322 hyp323 hyp324 hyp325 hyp326 hyp327 hyp328 hyp329 hyp330 hyp331 hyp332 hyp333 hyp334 hyp335 hyp336 hyp337 hyp338 hyp339 hyp340 hyp341 hyp342 hyp343 hyp344 hyp345 hyp346 hyp347 hyp348 hyp349 hyp350 hyp351 goal
% 0.82/1.01  
%------------------------------------------------------------------------------