TSTP Solution File: SWV568-1.050 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV568-1.050 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 21:44:21 EDT 2022

% Result   : Unsatisfiable 10.82s 11.02s
% Output   : Refutation 11.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  108
%            Number of leaves      :  415
% Syntax   : Number of clauses     : 1289 (1221 unt;  68 nHn;1289 RR)
%            Number of literals    : 1366 (   0 equ; 104 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :   34 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  436 ( 436 usr; 427 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(select(store(u,v,w),v),w),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(2,axiom,
    ( equal(u,v)
    | equal(select(store(w,u,x),v),select(w,v)) ),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(3,axiom,
    equal(rselect_seq(rstore_seq(u,v)),v),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(4,axiom,
    equal(rselect_head(rstore_head(u,v)),v),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(5,axiom,
    equal(rselect_tail(rstore_tail(u,v)),v),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(6,axiom,
    equal(rselect_seq(rstore_head(u,v)),rselect_seq(u)),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(7,axiom,
    equal(rselect_seq(rstore_tail(u,v)),rselect_seq(u)),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(8,axiom,
    equal(rselect_head(rstore_tail(u,v)),rselect_head(u)),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(9,axiom,
    equal(rselect_head(rstore_seq(u,v)),rselect_head(u)),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(11,axiom,
    equal(rselect_tail(rstore_head(u,v)),rselect_tail(u)),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(61,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(62,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(63,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(64,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(65,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(66,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(67,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(68,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(69,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(70,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(71,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(72,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(73,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(74,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(75,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(76,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(77,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(78,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(79,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(80,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(81,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(82,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(83,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(u))))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(84,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(u)))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(85,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(u))))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(86,axiom,
    ~ equal(s(s(s(s(s(s(s(s(u)))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(87,axiom,
    ~ equal(s(s(s(s(s(s(s(u))))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(88,axiom,
    ~ equal(s(s(s(s(s(s(u)))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(89,axiom,
    ~ equal(s(s(s(s(s(u))))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(90,axiom,
    ~ equal(s(s(s(s(u)))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(91,axiom,
    ~ equal(s(s(s(u))),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(92,axiom,
    ~ equal(s(s(u)),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(93,axiom,
    ~ equal(s(u),u),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(95,axiom,
    equal(store(earray_98,index_99,e21),earray_100),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(96,axiom,
    equal(rselect_seq(q22),earray_104),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(97,axiom,
    equal(store(earray_104,index_105,e22),earray_106),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(98,axiom,
    equal(rselect_seq(q23),earray_110),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(99,axiom,
    equal(store(earray_110,index_111,e23),earray_112),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(100,axiom,
    equal(rselect_seq(q24),earray_119),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(101,axiom,
    equal(store(earray_119,index_120,e24),earray_121),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(102,axiom,
    equal(rselect_seq(q25),earray_125),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(103,axiom,
    equal(store(earray_125,index_126,e25),earray_127),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(104,axiom,
    equal(rselect_seq(q26),earray_131),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(105,axiom,
    equal(store(earray_131,index_132,e26),earray_133),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(107,axiom,
    equal(rselect_seq(q27),earray_140),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(108,axiom,
    equal(store(earray_140,index_141,e27),earray_142),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(109,axiom,
    equal(rselect_seq(q28),earray_146),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(110,axiom,
    equal(store(earray_146,index_147,e28),earray_148),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(114,axiom,
    equal(rselect_seq(q29),earray_161),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(115,axiom,
    equal(store(earray_161,index_162,e29),earray_163),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(116,axiom,
    equal(rselect_seq(q30),earray_170),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(117,axiom,
    equal(store(earray_170,index_171,e30),earray_172),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(118,axiom,
    equal(rselect_seq(q31),earray_176),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(119,axiom,
    equal(store(earray_176,index_177,e31),earray_178),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(120,axiom,
    equal(rselect_seq(q32),earray_182),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(121,axiom,
    equal(store(earray_182,index_183,e32),earray_184),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(122,axiom,
    equal(rselect_seq(q33),earray_191),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(123,axiom,
    equal(store(earray_191,index_192,e33),earray_193),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(124,axiom,
    equal(rselect_seq(q34),earray_197),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(125,axiom,
    equal(store(earray_197,index_198,e34),earray_199),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(128,axiom,
    equal(rselect_seq(q35),earray_203),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(129,axiom,
    equal(store(earray_203,index_204,e35),earray_205),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(130,axiom,
    equal(rselect_seq(q36),earray_212),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(131,axiom,
    equal(store(earray_212,index_213,e36),earray_214),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(132,axiom,
    equal(rselect_seq(q37),earray_218),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(134,axiom,
    equal(store(earray_218,index_219,e37),earray_220),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(135,axiom,
    equal(rselect_seq(q38),earray_224),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(136,axiom,
    equal(store(earray_224,index_225,e38),earray_226),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(139,axiom,
    equal(rselect_seq(q39),earray_239),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(140,axiom,
    equal(store(earray_239,index_240,e39),earray_241),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(141,axiom,
    equal(rselect_seq(q40),earray_245),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(142,axiom,
    equal(store(earray_245,index_246,e40),earray_247),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(143,axiom,
    equal(rselect_seq(q41),earray_251),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(144,axiom,
    equal(store(earray_251,index_252,e41),earray_253),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(145,axiom,
    equal(rselect_seq(q42),earray_260),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(146,axiom,
    equal(store(earray_260,index_261,e42),earray_262),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(147,axiom,
    equal(rselect_seq(q43),earray_266),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(148,axiom,
    equal(store(earray_266,index_267,e43),earray_268),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(149,axiom,
    equal(rselect_seq(q44),earray_272),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(150,axiom,
    equal(store(earray_272,index_273,e44),earray_274),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(151,axiom,
    equal(rselect_seq(q45),earray_281),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(152,axiom,
    equal(store(earray_281,index_282,e45),earray_283),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(153,axiom,
    equal(rselect_seq(q46),earray_287),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(154,axiom,
    equal(store(earray_287,index_288,e46),earray_289),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(156,axiom,
    equal(rselect_seq(q47),earray_293),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(157,axiom,
    equal(store(earray_293,index_294,e47),earray_295),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(158,axiom,
    equal(rselect_seq(q48),earray_302),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(159,axiom,
    equal(store(earray_302,index_303,e48),earray_304),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(163,axiom,
    equal(rselect_seq(q49),earray_314),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(164,axiom,
    equal(store(earray_314,index_315,e49),earray_316),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(174,axiom,
    equal(rselect_seq(q50),earray_350),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(181,axiom,
    equal(rselect_seq(q16),earray_56),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(182,axiom,
    equal(store(earray_56,index_57,e16),earray_58),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(183,axiom,
    equal(rselect_seq(q17),earray_62),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(184,axiom,
    equal(store(earray_62,index_63,e17),earray_64),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(185,axiom,
    equal(rselect_seq(q18),earray_71),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(186,axiom,
    equal(store(earray_71,index_72,e18),earray_73),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(190,axiom,
    equal(rselect_seq(q19),earray_83),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(191,axiom,
    equal(store(earray_83,index_84,e19),earray_85),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(192,axiom,
    equal(rselect_seq(q20),earray_89),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(193,axiom,
    equal(store(earray_89,index_90,e20),earray_91),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(194,axiom,
    equal(rselect_seq(q21),earray_98),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(195,axiom,
    equal(select(earray_350,index_351),elem_352),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(196,axiom,
    equal(rselect_tail(q),index_0),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(197,axiom,
    equal(s(index_99),index_102),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(198,axiom,
    equal(rselect_tail(q22),index_105),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(199,axiom,
    equal(s(index_105),index_108),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(200,axiom,
    equal(rselect_tail(q23),index_111),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(201,axiom,
    equal(s(index_111),index_114),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(202,axiom,
    equal(rselect_head(queue_115),index_116),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(203,axiom,
    equal(s(index_116),index_117),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(204,axiom,
    equal(s(index_9),index_12),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(205,axiom,
    equal(rselect_tail(q24),index_120),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(206,axiom,
    equal(s(index_120),index_123),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(207,axiom,
    equal(rselect_tail(q25),index_126),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(208,axiom,
    equal(s(index_126),index_129),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(209,axiom,
    equal(rselect_tail(q26),index_132),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(210,axiom,
    equal(s(index_132),index_135),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(211,axiom,
    equal(rselect_head(queue_136),index_137),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(212,axiom,
    equal(s(index_137),index_138),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(213,axiom,
    equal(rselect_tail(q27),index_141),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(214,axiom,
    equal(s(index_141),index_144),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(215,axiom,
    equal(rselect_tail(q28),index_147),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(216,axiom,
    equal(rselect_tail(q10),index_15),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(217,axiom,
    equal(s(index_147),index_150),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(218,axiom,
    equal(rselect_tail(q2),index_153),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(219,axiom,
    equal(s(index_153),index_156),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(220,axiom,
    equal(rselect_head(queue_157),index_158),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(221,axiom,
    equal(s(index_158),index_159),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(222,axiom,
    equal(rselect_tail(q29),index_162),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(223,axiom,
    equal(s(index_162),index_165),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(224,axiom,
    equal(rselect_head(queue_166),index_167),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(225,axiom,
    equal(s(index_167),index_168),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(226,axiom,
    equal(rselect_tail(q30),index_171),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(227,axiom,
    equal(s(index_171),index_174),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(228,axiom,
    equal(rselect_tail(q31),index_177),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(229,axiom,
    equal(s(index_15),index_18),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(230,axiom,
    equal(s(index_177),index_180),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(231,axiom,
    equal(rselect_tail(q32),index_183),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(232,axiom,
    equal(s(index_183),index_186),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(233,axiom,
    equal(rselect_head(queue_187),index_188),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(234,axiom,
    equal(s(index_188),index_189),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(235,axiom,
    equal(rselect_tail(q33),index_192),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(236,axiom,
    equal(s(index_192),index_195),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(237,axiom,
    equal(rselect_tail(q34),index_198),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(238,axiom,
    equal(s(index_198),index_201),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(239,axiom,
    equal(rselect_tail(q35),index_204),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(240,axiom,
    equal(s(index_204),index_207),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(241,axiom,
    equal(rselect_head(queue_208),index_209),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(242,axiom,
    equal(rselect_tail(q11),index_21),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(243,axiom,
    equal(s(index_209),index_210),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(244,axiom,
    equal(rselect_tail(q36),index_213),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(245,axiom,
    equal(s(index_213),index_216),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(246,axiom,
    equal(rselect_tail(q37),index_219),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(247,axiom,
    equal(s(index_219),index_222),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(248,axiom,
    equal(rselect_tail(q38),index_225),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(249,axiom,
    equal(s(index_225),index_228),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(250,axiom,
    equal(rselect_head(queue_229),index_230),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(251,axiom,
    equal(s(index_230),index_231),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(252,axiom,
    equal(rselect_tail(q3),index_234),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(253,axiom,
    equal(s(index_234),index_237),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(254,axiom,
    equal(s(index_21),index_24),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(255,axiom,
    equal(rselect_tail(q39),index_240),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(256,axiom,
    equal(s(index_240),index_243),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(257,axiom,
    equal(rselect_tail(q40),index_246),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(258,axiom,
    equal(s(index_246),index_249),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(259,axiom,
    equal(rselect_tail(q41),index_252),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(260,axiom,
    equal(s(index_252),index_255),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(261,axiom,
    equal(rselect_head(queue_256),index_257),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(262,axiom,
    equal(s(index_257),index_258),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(263,axiom,
    equal(rselect_head(queue_25),index_26),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(264,axiom,
    equal(rselect_tail(q42),index_261),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(265,axiom,
    equal(s(index_261),index_264),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(266,axiom,
    equal(rselect_tail(q43),index_267),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(267,axiom,
    equal(s(index_26),index_27),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(268,axiom,
    equal(s(index_267),index_270),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(269,axiom,
    equal(rselect_tail(q44),index_273),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(270,axiom,
    equal(s(index_273),index_276),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(271,axiom,
    equal(rselect_head(queue_277),index_278),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(272,axiom,
    equal(s(index_278),index_279),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(273,axiom,
    equal(rselect_tail(q45),index_282),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(274,axiom,
    equal(s(index_282),index_285),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(275,axiom,
    equal(rselect_tail(q46),index_288),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(276,axiom,
    equal(s(index_288),index_291),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(277,axiom,
    equal(rselect_tail(q47),index_294),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(278,axiom,
    equal(s(index_294),index_297),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(279,axiom,
    equal(rselect_head(queue_298),index_299),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(280,axiom,
    equal(rselect_tail(q0),index_3),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(281,axiom,
    equal(rselect_tail(q12),index_30),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(282,axiom,
    equal(s(index_299),index_300),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(283,axiom,
    equal(rselect_tail(q48),index_303),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(284,axiom,
    equal(s(index_303),index_306),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(285,axiom,
    equal(rselect_tail(q4),index_309),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(286,axiom,
    equal(s(index_309),index_312),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(287,axiom,
    equal(rselect_tail(q49),index_315),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(289,axiom,
    equal(rselect_tail(q5),index_321),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(290,axiom,
    equal(s(index_321),index_324),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(291,axiom,
    equal(rselect_head(queue_325),index_326),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(292,axiom,
    equal(s(index_326),index_327),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(293,axiom,
    equal(s(index_30),index_33),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(294,axiom,
    equal(rselect_tail(q6),index_330),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(295,axiom,
    equal(s(index_330),index_333),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(296,axiom,
    equal(rselect_tail(q7),index_336),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(297,axiom,
    equal(s(index_336),index_339),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(298,axiom,
    equal(rselect_tail(q8),index_342),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(299,axiom,
    equal(s(index_342),index_345),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(300,axiom,
    equal(rselect_head(queue_346),index_347),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(301,axiom,
    equal(s(index_347),index_348),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(302,axiom,
    equal(rselect_head(q50),index_351),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(303,axiom,
    equal(rselect_tail(q13),index_36),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(304,axiom,
    equal(s(index_36),index_39),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(305,axiom,
    equal(rselect_tail(q14),index_42),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(306,axiom,
    equal(s(index_42),index_45),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(307,axiom,
    equal(rselect_head(queue_46),index_47),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(308,axiom,
    equal(s(index_47),index_48),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(309,axiom,
    equal(rselect_tail(q15),index_51),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(310,axiom,
    equal(s(index_51),index_54),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(311,axiom,
    equal(rselect_tail(q16),index_57),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(312,axiom,
    equal(s(index_3),index_6),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(313,axiom,
    equal(s(index_57),index_60),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(314,axiom,
    equal(rselect_tail(q17),index_63),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(315,axiom,
    equal(s(index_63),index_66),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(316,axiom,
    equal(rselect_head(queue_67),index_68),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(317,axiom,
    equal(s(index_68),index_69),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(318,axiom,
    equal(rselect_tail(q18),index_72),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(319,axiom,
    equal(s(index_72),index_75),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(320,axiom,
    equal(rselect_tail(q1),index_78),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(321,axiom,
    equal(s(index_78),index_81),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(322,axiom,
    equal(rselect_tail(q19),index_84),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(323,axiom,
    equal(s(index_84),index_87),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(324,axiom,
    equal(rselect_tail(q9),index_9),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(325,axiom,
    equal(rselect_tail(q20),index_90),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(326,axiom,
    equal(s(index_90),index_93),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(327,axiom,
    equal(rselect_head(queue_94),index_95),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(328,axiom,
    equal(s(index_95),index_96),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(329,axiom,
    equal(rselect_tail(q21),index_99),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(330,axiom,
    equal(rstore_head(q,index_0),queue_1),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(331,axiom,
    equal(rstore_seq(q21,earray_100),queue_101),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(332,axiom,
    equal(rstore_tail(queue_101,index_102),queue_103),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(333,axiom,
    equal(rstore_seq(q22,earray_106),queue_107),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(334,axiom,
    equal(rstore_tail(queue_107,index_108),queue_109),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(335,axiom,
    equal(rstore_seq(q9,earray_10),queue_11),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(336,axiom,
    equal(rstore_seq(q23,earray_112),queue_113),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(337,axiom,
    equal(rstore_tail(queue_113,index_114),queue_115),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(338,axiom,
    equal(rstore_head(queue_115,index_117),queue_118),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(339,axiom,
    equal(rstore_seq(q24,earray_121),queue_122),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(340,axiom,
    equal(rstore_tail(queue_122,index_123),queue_124),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(341,axiom,
    equal(rstore_seq(q25,earray_127),queue_128),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(342,axiom,
    equal(rstore_tail(queue_11,index_12),queue_13),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(343,axiom,
    equal(rstore_tail(queue_128,index_129),queue_130),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(344,axiom,
    equal(rstore_seq(q26,earray_133),queue_134),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(345,axiom,
    equal(rstore_tail(queue_134,index_135),queue_136),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(346,axiom,
    equal(rstore_head(queue_136,index_138),queue_139),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(347,axiom,
    equal(rstore_seq(q27,earray_142),queue_143),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(348,axiom,
    equal(rstore_tail(queue_143,index_144),queue_145),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(349,axiom,
    equal(rstore_seq(q28,earray_148),queue_149),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(350,axiom,
    equal(rstore_tail(queue_149,index_150),queue_151),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(351,axiom,
    equal(rstore_seq(q2,earray_154),queue_155),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(352,axiom,
    equal(rstore_tail(queue_155,index_156),queue_157),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(353,axiom,
    equal(rstore_head(queue_157,index_159),queue_160),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(354,axiom,
    equal(rstore_seq(q29,earray_163),queue_164),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(355,axiom,
    equal(rstore_tail(queue_164,index_165),queue_166),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(356,axiom,
    equal(rstore_head(queue_166,index_168),queue_169),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(357,axiom,
    equal(rstore_seq(q10,earray_16),queue_17),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(358,axiom,
    equal(rstore_seq(q30,earray_172),queue_173),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(359,axiom,
    equal(rstore_tail(queue_173,index_174),queue_175),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(360,axiom,
    equal(rstore_seq(q31,earray_178),queue_179),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(361,axiom,
    equal(rstore_tail(queue_179,index_180),queue_181),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(362,axiom,
    equal(rstore_seq(q32,earray_184),queue_185),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(363,axiom,
    equal(rstore_tail(queue_185,index_186),queue_187),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(364,axiom,
    equal(rstore_tail(queue_17,index_18),queue_19),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(365,axiom,
    equal(rstore_head(queue_187,index_189),queue_190),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(366,axiom,
    equal(rstore_seq(q33,earray_193),queue_194),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(367,axiom,
    equal(rstore_tail(queue_194,index_195),queue_196),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(368,axiom,
    equal(rstore_seq(q34,earray_199),queue_200),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(369,axiom,
    equal(rstore_tail(queue_200,index_201),queue_202),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(370,axiom,
    equal(rstore_seq(q35,earray_205),queue_206),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(371,axiom,
    equal(rstore_tail(queue_206,index_207),queue_208),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(372,axiom,
    equal(rstore_head(queue_208,index_210),queue_211),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(373,axiom,
    equal(rstore_seq(q36,earray_214),queue_215),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(374,axiom,
    equal(rstore_tail(queue_215,index_216),queue_217),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(375,axiom,
    equal(rstore_seq(q37,earray_220),queue_221),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(376,axiom,
    equal(rstore_tail(queue_221,index_222),queue_223),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(377,axiom,
    equal(rstore_seq(q38,earray_226),queue_227),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(378,axiom,
    equal(rstore_tail(queue_227,index_228),queue_229),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(379,axiom,
    equal(rstore_seq(q11,earray_22),queue_23),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(380,axiom,
    equal(rstore_head(queue_229,index_231),queue_232),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(381,axiom,
    equal(rstore_seq(q3,earray_235),queue_236),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(382,axiom,
    equal(rstore_tail(queue_236,index_237),queue_238),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(383,axiom,
    equal(rstore_seq(q39,earray_241),queue_242),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(384,axiom,
    equal(rstore_tail(queue_242,index_243),queue_244),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(385,axiom,
    equal(rstore_seq(q40,earray_247),queue_248),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(386,axiom,
    equal(rstore_tail(queue_23,index_24),queue_25),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(387,axiom,
    equal(rstore_tail(queue_248,index_249),queue_250),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(388,axiom,
    equal(rstore_seq(q41,earray_253),queue_254),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(389,axiom,
    equal(rstore_tail(queue_254,index_255),queue_256),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(390,axiom,
    equal(rstore_head(queue_256,index_258),queue_259),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(391,axiom,
    equal(rstore_seq(q42,earray_262),queue_263),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(392,axiom,
    equal(rstore_tail(queue_263,index_264),queue_265),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(393,axiom,
    equal(rstore_seq(q43,earray_268),queue_269),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(394,axiom,
    equal(rstore_tail(queue_269,index_270),queue_271),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(395,axiom,
    equal(rstore_seq(q44,earray_274),queue_275),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(396,axiom,
    equal(rstore_tail(queue_275,index_276),queue_277),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(397,axiom,
    equal(rstore_head(queue_25,index_27),queue_28),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(398,axiom,
    equal(rstore_head(queue_277,index_279),queue_280),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(399,axiom,
    equal(rstore_seq(q45,earray_283),queue_284),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(400,axiom,
    equal(rstore_tail(queue_284,index_285),queue_286),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(401,axiom,
    equal(rstore_seq(q46,earray_289),queue_290),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(402,axiom,
    equal(rstore_tail(queue_290,index_291),queue_292),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(403,axiom,
    equal(rstore_seq(q47,earray_295),queue_296),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(404,axiom,
    equal(rstore_tail(queue_296,index_297),queue_298),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(405,axiom,
    equal(rstore_head(queue_298,index_300),queue_301),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(406,axiom,
    equal(rstore_seq(q48,earray_304),queue_305),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(407,axiom,
    equal(rstore_tail(queue_305,index_306),queue_307),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(408,axiom,
    equal(rstore_seq(q4,earray_310),queue_311),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(409,axiom,
    equal(rstore_tail(queue_311,index_312),queue_313),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(410,axiom,
    equal(rstore_seq(q49,earray_316),queue_317),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(411,axiom,
    equal(rstore_tail(queue_317,index_318),queue_319),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(412,axiom,
    equal(rstore_seq(q12,earray_31),queue_32),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(413,axiom,
    equal(rstore_seq(q5,earray_322),queue_323),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(414,axiom,
    equal(rstore_tail(queue_323,index_324),queue_325),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(415,axiom,
    equal(rstore_head(queue_325,index_327),queue_328),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(416,axiom,
    equal(rstore_seq(q6,earray_331),queue_332),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(417,axiom,
    equal(rstore_tail(queue_332,index_333),queue_334),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(418,axiom,
    equal(rstore_seq(q7,earray_337),queue_338),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(419,axiom,
    equal(rstore_tail(queue_32,index_33),queue_34),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(420,axiom,
    equal(rstore_tail(queue_338,index_339),queue_340),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(421,axiom,
    equal(rstore_seq(q8,earray_343),queue_344),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(422,axiom,
    equal(rstore_tail(queue_344,index_345),queue_346),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(423,axiom,
    equal(rstore_head(queue_346,index_348),queue_349),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(424,axiom,
    equal(rstore_seq(q13,earray_37),queue_38),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(425,axiom,
    equal(rstore_tail(queue_38,index_39),queue_40),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(426,axiom,
    equal(rstore_seq(q14,earray_43),queue_44),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(427,axiom,
    equal(rstore_tail(queue_44,index_45),queue_46),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(428,axiom,
    equal(rstore_head(queue_46,index_48),queue_49),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(429,axiom,
    equal(rstore_seq(q0,earray_4),queue_5),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(430,axiom,
    equal(rstore_seq(q15,earray_52),queue_53),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(431,axiom,
    equal(rstore_tail(queue_53,index_54),queue_55),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(432,axiom,
    equal(rstore_seq(q16,earray_58),queue_59),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(433,axiom,
    equal(rstore_tail(queue_59,index_60),queue_61),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(434,axiom,
    equal(rstore_seq(q17,earray_64),queue_65),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(435,axiom,
    equal(rstore_tail(queue_65,index_66),queue_67),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(436,axiom,
    equal(rstore_tail(queue_5,index_6),queue_7),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(437,axiom,
    equal(rstore_head(queue_67,index_69),queue_70),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(438,axiom,
    equal(rstore_seq(q18,earray_73),queue_74),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(439,axiom,
    equal(rstore_tail(queue_74,index_75),queue_76),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(440,axiom,
    equal(rstore_seq(q1,earray_79),queue_80),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(441,axiom,
    equal(rstore_tail(queue_80,index_81),queue_82),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(442,axiom,
    equal(rstore_seq(q19,earray_85),queue_86),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(443,axiom,
    equal(rstore_tail(queue_86,index_87),queue_88),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(444,axiom,
    equal(rstore_seq(q20,earray_91),queue_92),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(445,axiom,
    equal(rstore_tail(queue_92,index_93),queue_94),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(446,axiom,
    equal(rstore_head(queue_94,index_96),queue_97),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(447,axiom,
    equal(queue_1,q0),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(448,axiom,
    equal(queue_7,q1),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(449,axiom,
    equal(queue_13,q10),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(450,axiom,
    equal(queue_19,q11),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(451,axiom,
    equal(queue_28,q12),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(452,axiom,
    equal(queue_34,q13),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(453,axiom,
    equal(queue_40,q14),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(454,axiom,
    equal(queue_49,q15),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(455,axiom,
    equal(queue_55,q16),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(456,axiom,
    equal(queue_61,q17),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(457,axiom,
    equal(queue_70,q18),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(458,axiom,
    equal(queue_76,q19),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(459,axiom,
    equal(queue_82,q2),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(460,axiom,
    equal(queue_88,q20),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(461,axiom,
    equal(queue_97,q21),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(462,axiom,
    equal(queue_103,q22),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(463,axiom,
    equal(queue_109,q23),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(464,axiom,
    equal(queue_118,q24),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(465,axiom,
    equal(queue_124,q25),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(466,axiom,
    equal(queue_130,q26),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(467,axiom,
    equal(queue_139,q27),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(468,axiom,
    equal(queue_145,q28),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(469,axiom,
    equal(queue_151,q29),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(470,axiom,
    equal(queue_160,q3),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(471,axiom,
    equal(queue_169,q30),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(472,axiom,
    equal(queue_175,q31),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(473,axiom,
    equal(queue_181,q32),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(474,axiom,
    equal(queue_190,q33),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(475,axiom,
    equal(queue_196,q34),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(476,axiom,
    equal(queue_202,q35),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(477,axiom,
    equal(queue_211,q36),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(478,axiom,
    equal(queue_217,q37),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(479,axiom,
    equal(queue_223,q38),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(480,axiom,
    equal(queue_232,q39),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(481,axiom,
    equal(queue_238,q4),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(482,axiom,
    equal(queue_244,q40),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(483,axiom,
    equal(queue_250,q41),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(484,axiom,
    equal(queue_259,q42),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(485,axiom,
    equal(queue_265,q43),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(486,axiom,
    equal(queue_271,q44),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(487,axiom,
    equal(queue_280,q45),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(488,axiom,
    equal(queue_286,q46),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(489,axiom,
    equal(queue_292,q47),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(490,axiom,
    equal(queue_301,q48),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(491,axiom,
    equal(queue_307,q49),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(492,axiom,
    equal(queue_313,q5),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(493,axiom,
    equal(queue_319,q50),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(494,axiom,
    equal(queue_328,q6),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(495,axiom,
    equal(queue_334,q7),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(496,axiom,
    equal(queue_340,q8),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(497,axiom,
    equal(queue_349,q9),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(498,axiom,
    ~ equal(elem_352,e16),
    file('SWV568-1.050.p',unknown),
    [] ).

cnf(499,plain,
    equal(rstore_head(queue_94,index_96),q21),
    inference(rew,[status(thm),theory(equality)],[461,446]),
    [iquote('0:Rew:461.0,446.0')] ).

cnf(500,plain,
    equal(rstore_tail(queue_86,index_87),q20),
    inference(rew,[status(thm),theory(equality)],[460,443]),
    [iquote('0:Rew:460.0,443.0')] ).

cnf(501,plain,
    equal(rstore_tail(queue_80,index_81),q2),
    inference(rew,[status(thm),theory(equality)],[459,441]),
    [iquote('0:Rew:459.0,441.0')] ).

cnf(502,plain,
    equal(rstore_tail(queue_74,index_75),q19),
    inference(rew,[status(thm),theory(equality)],[458,439]),
    [iquote('0:Rew:458.0,439.0')] ).

cnf(503,plain,
    equal(rstore_head(queue_67,index_69),q18),
    inference(rew,[status(thm),theory(equality)],[457,437]),
    [iquote('0:Rew:457.0,437.0')] ).

cnf(504,plain,
    equal(rstore_tail(queue_5,index_6),q1),
    inference(rew,[status(thm),theory(equality)],[448,436]),
    [iquote('0:Rew:448.0,436.0')] ).

cnf(505,plain,
    equal(rstore_tail(queue_59,index_60),q17),
    inference(rew,[status(thm),theory(equality)],[456,433]),
    [iquote('0:Rew:456.0,433.0')] ).

cnf(506,plain,
    equal(rstore_tail(queue_53,index_54),q16),
    inference(rew,[status(thm),theory(equality)],[455,431]),
    [iquote('0:Rew:455.0,431.0')] ).

cnf(507,plain,
    equal(rstore_head(queue_46,index_48),q15),
    inference(rew,[status(thm),theory(equality)],[454,428]),
    [iquote('0:Rew:454.0,428.0')] ).

cnf(508,plain,
    equal(rstore_tail(queue_38,index_39),q14),
    inference(rew,[status(thm),theory(equality)],[453,425]),
    [iquote('0:Rew:453.0,425.0')] ).

cnf(509,plain,
    equal(rstore_head(queue_346,index_348),q9),
    inference(rew,[status(thm),theory(equality)],[497,423]),
    [iquote('0:Rew:497.0,423.0')] ).

cnf(510,plain,
    equal(rstore_tail(queue_338,index_339),q8),
    inference(rew,[status(thm),theory(equality)],[496,420]),
    [iquote('0:Rew:496.0,420.0')] ).

cnf(511,plain,
    equal(rstore_tail(queue_32,index_33),q13),
    inference(rew,[status(thm),theory(equality)],[452,419]),
    [iquote('0:Rew:452.0,419.0')] ).

cnf(512,plain,
    equal(rstore_tail(queue_332,index_333),q7),
    inference(rew,[status(thm),theory(equality)],[495,417]),
    [iquote('0:Rew:495.0,417.0')] ).

cnf(513,plain,
    equal(rstore_head(queue_325,index_327),q6),
    inference(rew,[status(thm),theory(equality)],[494,415]),
    [iquote('0:Rew:494.0,415.0')] ).

cnf(514,plain,
    equal(rstore_tail(queue_317,index_318),q50),
    inference(rew,[status(thm),theory(equality)],[493,411]),
    [iquote('0:Rew:493.0,411.0')] ).

cnf(515,plain,
    equal(rstore_tail(queue_311,index_312),q5),
    inference(rew,[status(thm),theory(equality)],[492,409]),
    [iquote('0:Rew:492.0,409.0')] ).

cnf(516,plain,
    equal(rstore_tail(queue_305,index_306),q49),
    inference(rew,[status(thm),theory(equality)],[491,407]),
    [iquote('0:Rew:491.0,407.0')] ).

cnf(517,plain,
    equal(rstore_head(queue_298,index_300),q48),
    inference(rew,[status(thm),theory(equality)],[490,405]),
    [iquote('0:Rew:490.0,405.0')] ).

cnf(518,plain,
    equal(rstore_tail(queue_290,index_291),q47),
    inference(rew,[status(thm),theory(equality)],[489,402]),
    [iquote('0:Rew:489.0,402.0')] ).

cnf(519,plain,
    equal(rstore_tail(queue_284,index_285),q46),
    inference(rew,[status(thm),theory(equality)],[488,400]),
    [iquote('0:Rew:488.0,400.0')] ).

cnf(520,plain,
    equal(rstore_head(queue_277,index_279),q45),
    inference(rew,[status(thm),theory(equality)],[487,398]),
    [iquote('0:Rew:487.0,398.0')] ).

cnf(521,plain,
    equal(rstore_head(queue_25,index_27),q12),
    inference(rew,[status(thm),theory(equality)],[451,397]),
    [iquote('0:Rew:451.0,397.0')] ).

cnf(522,plain,
    equal(rstore_tail(queue_269,index_270),q44),
    inference(rew,[status(thm),theory(equality)],[486,394]),
    [iquote('0:Rew:486.0,394.0')] ).

cnf(523,plain,
    equal(rstore_tail(queue_263,index_264),q43),
    inference(rew,[status(thm),theory(equality)],[485,392]),
    [iquote('0:Rew:485.0,392.0')] ).

cnf(524,plain,
    equal(rstore_head(queue_256,index_258),q42),
    inference(rew,[status(thm),theory(equality)],[484,390]),
    [iquote('0:Rew:484.0,390.0')] ).

cnf(525,plain,
    equal(rstore_tail(queue_248,index_249),q41),
    inference(rew,[status(thm),theory(equality)],[483,387]),
    [iquote('0:Rew:483.0,387.0')] ).

cnf(526,plain,
    equal(rstore_tail(queue_242,index_243),q40),
    inference(rew,[status(thm),theory(equality)],[482,384]),
    [iquote('0:Rew:482.0,384.0')] ).

cnf(527,plain,
    equal(rstore_tail(queue_236,index_237),q4),
    inference(rew,[status(thm),theory(equality)],[481,382]),
    [iquote('0:Rew:481.0,382.0')] ).

cnf(528,plain,
    equal(rstore_head(queue_229,index_231),q39),
    inference(rew,[status(thm),theory(equality)],[480,380]),
    [iquote('0:Rew:480.0,380.0')] ).

cnf(529,plain,
    equal(rstore_tail(queue_221,index_222),q38),
    inference(rew,[status(thm),theory(equality)],[479,376]),
    [iquote('0:Rew:479.0,376.0')] ).

cnf(530,plain,
    equal(rstore_tail(queue_215,index_216),q37),
    inference(rew,[status(thm),theory(equality)],[478,374]),
    [iquote('0:Rew:478.0,374.0')] ).

cnf(531,plain,
    equal(rstore_head(queue_208,index_210),q36),
    inference(rew,[status(thm),theory(equality)],[477,372]),
    [iquote('0:Rew:477.0,372.0')] ).

cnf(532,plain,
    equal(rstore_tail(queue_200,index_201),q35),
    inference(rew,[status(thm),theory(equality)],[476,369]),
    [iquote('0:Rew:476.0,369.0')] ).

cnf(533,plain,
    equal(rstore_tail(queue_194,index_195),q34),
    inference(rew,[status(thm),theory(equality)],[475,367]),
    [iquote('0:Rew:475.0,367.0')] ).

cnf(534,plain,
    equal(rstore_head(queue_187,index_189),q33),
    inference(rew,[status(thm),theory(equality)],[474,365]),
    [iquote('0:Rew:474.0,365.0')] ).

cnf(535,plain,
    equal(rstore_tail(queue_17,index_18),q11),
    inference(rew,[status(thm),theory(equality)],[450,364]),
    [iquote('0:Rew:450.0,364.0')] ).

cnf(536,plain,
    equal(rstore_tail(queue_179,index_180),q32),
    inference(rew,[status(thm),theory(equality)],[473,361]),
    [iquote('0:Rew:473.0,361.0')] ).

cnf(537,plain,
    equal(rstore_tail(queue_173,index_174),q31),
    inference(rew,[status(thm),theory(equality)],[472,359]),
    [iquote('0:Rew:472.0,359.0')] ).

cnf(538,plain,
    equal(rstore_head(queue_166,index_168),q30),
    inference(rew,[status(thm),theory(equality)],[471,356]),
    [iquote('0:Rew:471.0,356.0')] ).

cnf(539,plain,
    equal(rstore_head(queue_157,index_159),q3),
    inference(rew,[status(thm),theory(equality)],[470,353]),
    [iquote('0:Rew:470.0,353.0')] ).

cnf(540,plain,
    equal(rstore_tail(queue_149,index_150),q29),
    inference(rew,[status(thm),theory(equality)],[469,350]),
    [iquote('0:Rew:469.0,350.0')] ).

cnf(541,plain,
    equal(rstore_tail(queue_143,index_144),q28),
    inference(rew,[status(thm),theory(equality)],[468,348]),
    [iquote('0:Rew:468.0,348.0')] ).

cnf(542,plain,
    equal(rstore_head(queue_136,index_138),q27),
    inference(rew,[status(thm),theory(equality)],[467,346]),
    [iquote('0:Rew:467.0,346.0')] ).

cnf(543,plain,
    equal(rstore_tail(queue_128,index_129),q26),
    inference(rew,[status(thm),theory(equality)],[466,343]),
    [iquote('0:Rew:466.0,343.0')] ).

cnf(544,plain,
    equal(rstore_tail(queue_11,index_12),q10),
    inference(rew,[status(thm),theory(equality)],[449,342]),
    [iquote('0:Rew:449.0,342.0')] ).

cnf(545,plain,
    equal(rstore_tail(queue_122,index_123),q25),
    inference(rew,[status(thm),theory(equality)],[465,340]),
    [iquote('0:Rew:465.0,340.0')] ).

cnf(546,plain,
    equal(rstore_head(queue_115,index_117),q24),
    inference(rew,[status(thm),theory(equality)],[464,338]),
    [iquote('0:Rew:464.0,338.0')] ).

cnf(547,plain,
    equal(rstore_tail(queue_107,index_108),q23),
    inference(rew,[status(thm),theory(equality)],[463,334]),
    [iquote('0:Rew:463.0,334.0')] ).

cnf(548,plain,
    equal(rstore_tail(queue_101,index_102),q22),
    inference(rew,[status(thm),theory(equality)],[462,332]),
    [iquote('0:Rew:462.0,332.0')] ).

cnf(549,plain,
    equal(rstore_head(q,index_0),q0),
    inference(rew,[status(thm),theory(equality)],[447,330]),
    [iquote('0:Rew:447.0,330.0')] ).

cnf(913,plain,
    ~ equal(index_60,index_57),
    inference(spl,[status(thm),theory(equality)],[313,93]),
    [iquote('0:SpL:313.0,93.0')] ).

cnf(1029,plain,
    ~ equal(s(index_60),index_57),
    inference(spl,[status(thm),theory(equality)],[313,92]),
    [iquote('0:SpL:313.0,92.0')] ).

cnf(1089,plain,
    equal(rselect_tail(queue_94),index_93),
    inference(spr,[status(thm),theory(equality)],[445,5]),
    [iquote('0:SpR:445.0,5.0')] ).

cnf(1090,plain,
    equal(rselect_tail(q20),index_87),
    inference(spr,[status(thm),theory(equality)],[500,5]),
    [iquote('0:SpR:500.0,5.0')] ).

cnf(1091,plain,
    equal(rselect_tail(q2),index_81),
    inference(spr,[status(thm),theory(equality)],[501,5]),
    [iquote('0:SpR:501.0,5.0')] ).

cnf(1092,plain,
    equal(rselect_tail(q19),index_75),
    inference(spr,[status(thm),theory(equality)],[502,5]),
    [iquote('0:SpR:502.0,5.0')] ).

cnf(1093,plain,
    equal(rselect_tail(q1),index_6),
    inference(spr,[status(thm),theory(equality)],[504,5]),
    [iquote('0:SpR:504.0,5.0')] ).

cnf(1094,plain,
    equal(rselect_tail(queue_67),index_66),
    inference(spr,[status(thm),theory(equality)],[435,5]),
    [iquote('0:SpR:435.0,5.0')] ).

cnf(1095,plain,
    equal(rselect_tail(q17),index_60),
    inference(spr,[status(thm),theory(equality)],[505,5]),
    [iquote('0:SpR:505.0,5.0')] ).

cnf(1096,plain,
    equal(rselect_tail(q16),index_54),
    inference(spr,[status(thm),theory(equality)],[506,5]),
    [iquote('0:SpR:506.0,5.0')] ).

cnf(1097,plain,
    equal(rselect_tail(queue_46),index_45),
    inference(spr,[status(thm),theory(equality)],[427,5]),
    [iquote('0:SpR:427.0,5.0')] ).

cnf(1098,plain,
    equal(rselect_tail(q14),index_39),
    inference(spr,[status(thm),theory(equality)],[508,5]),
    [iquote('0:SpR:508.0,5.0')] ).

cnf(1099,plain,
    equal(rselect_tail(queue_346),index_345),
    inference(spr,[status(thm),theory(equality)],[422,5]),
    [iquote('0:SpR:422.0,5.0')] ).

cnf(1100,plain,
    equal(rselect_tail(q8),index_339),
    inference(spr,[status(thm),theory(equality)],[510,5]),
    [iquote('0:SpR:510.0,5.0')] ).

cnf(1101,plain,
    equal(rselect_tail(q13),index_33),
    inference(spr,[status(thm),theory(equality)],[511,5]),
    [iquote('0:SpR:511.0,5.0')] ).

cnf(1102,plain,
    equal(rselect_tail(q7),index_333),
    inference(spr,[status(thm),theory(equality)],[512,5]),
    [iquote('0:SpR:512.0,5.0')] ).

cnf(1103,plain,
    equal(rselect_tail(queue_325),index_324),
    inference(spr,[status(thm),theory(equality)],[414,5]),
    [iquote('0:SpR:414.0,5.0')] ).

cnf(1105,plain,
    equal(rselect_tail(q5),index_312),
    inference(spr,[status(thm),theory(equality)],[515,5]),
    [iquote('0:SpR:515.0,5.0')] ).

cnf(1106,plain,
    equal(rselect_tail(q49),index_306),
    inference(spr,[status(thm),theory(equality)],[516,5]),
    [iquote('0:SpR:516.0,5.0')] ).

cnf(1107,plain,
    equal(rselect_tail(queue_298),index_297),
    inference(spr,[status(thm),theory(equality)],[404,5]),
    [iquote('0:SpR:404.0,5.0')] ).

cnf(1108,plain,
    equal(rselect_tail(q47),index_291),
    inference(spr,[status(thm),theory(equality)],[518,5]),
    [iquote('0:SpR:518.0,5.0')] ).

cnf(1109,plain,
    equal(rselect_tail(q46),index_285),
    inference(spr,[status(thm),theory(equality)],[519,5]),
    [iquote('0:SpR:519.0,5.0')] ).

cnf(1110,plain,
    equal(rselect_tail(queue_277),index_276),
    inference(spr,[status(thm),theory(equality)],[396,5]),
    [iquote('0:SpR:396.0,5.0')] ).

cnf(1111,plain,
    equal(rselect_tail(q44),index_270),
    inference(spr,[status(thm),theory(equality)],[522,5]),
    [iquote('0:SpR:522.0,5.0')] ).

cnf(1112,plain,
    equal(rselect_tail(q43),index_264),
    inference(spr,[status(thm),theory(equality)],[523,5]),
    [iquote('0:SpR:523.0,5.0')] ).

cnf(1113,plain,
    equal(rselect_tail(queue_256),index_255),
    inference(spr,[status(thm),theory(equality)],[389,5]),
    [iquote('0:SpR:389.0,5.0')] ).

cnf(1114,plain,
    equal(rselect_tail(q41),index_249),
    inference(spr,[status(thm),theory(equality)],[525,5]),
    [iquote('0:SpR:525.0,5.0')] ).

cnf(1115,plain,
    equal(rselect_tail(queue_25),index_24),
    inference(spr,[status(thm),theory(equality)],[386,5]),
    [iquote('0:SpR:386.0,5.0')] ).

cnf(1116,plain,
    equal(rselect_tail(q40),index_243),
    inference(spr,[status(thm),theory(equality)],[526,5]),
    [iquote('0:SpR:526.0,5.0')] ).

cnf(1117,plain,
    equal(rselect_tail(q4),index_237),
    inference(spr,[status(thm),theory(equality)],[527,5]),
    [iquote('0:SpR:527.0,5.0')] ).

cnf(1118,plain,
    equal(rselect_tail(queue_229),index_228),
    inference(spr,[status(thm),theory(equality)],[378,5]),
    [iquote('0:SpR:378.0,5.0')] ).

cnf(1119,plain,
    equal(rselect_tail(q38),index_222),
    inference(spr,[status(thm),theory(equality)],[529,5]),
    [iquote('0:SpR:529.0,5.0')] ).

cnf(1120,plain,
    equal(rselect_tail(q37),index_216),
    inference(spr,[status(thm),theory(equality)],[530,5]),
    [iquote('0:SpR:530.0,5.0')] ).

cnf(1121,plain,
    equal(rselect_tail(queue_208),index_207),
    inference(spr,[status(thm),theory(equality)],[371,5]),
    [iquote('0:SpR:371.0,5.0')] ).

cnf(1122,plain,
    equal(rselect_tail(q35),index_201),
    inference(spr,[status(thm),theory(equality)],[532,5]),
    [iquote('0:SpR:532.0,5.0')] ).

cnf(1123,plain,
    equal(rselect_tail(q34),index_195),
    inference(spr,[status(thm),theory(equality)],[533,5]),
    [iquote('0:SpR:533.0,5.0')] ).

cnf(1124,plain,
    equal(rselect_tail(q11),index_18),
    inference(spr,[status(thm),theory(equality)],[535,5]),
    [iquote('0:SpR:535.0,5.0')] ).

cnf(1125,plain,
    equal(rselect_tail(queue_187),index_186),
    inference(spr,[status(thm),theory(equality)],[363,5]),
    [iquote('0:SpR:363.0,5.0')] ).

cnf(1126,plain,
    equal(rselect_tail(q32),index_180),
    inference(spr,[status(thm),theory(equality)],[536,5]),
    [iquote('0:SpR:536.0,5.0')] ).

cnf(1127,plain,
    equal(rselect_tail(q31),index_174),
    inference(spr,[status(thm),theory(equality)],[537,5]),
    [iquote('0:SpR:537.0,5.0')] ).

cnf(1128,plain,
    equal(rselect_tail(queue_166),index_165),
    inference(spr,[status(thm),theory(equality)],[355,5]),
    [iquote('0:SpR:355.0,5.0')] ).

cnf(1129,plain,
    equal(rselect_tail(queue_157),index_156),
    inference(spr,[status(thm),theory(equality)],[352,5]),
    [iquote('0:SpR:352.0,5.0')] ).

cnf(1130,plain,
    equal(rselect_tail(q29),index_150),
    inference(spr,[status(thm),theory(equality)],[540,5]),
    [iquote('0:SpR:540.0,5.0')] ).

cnf(1131,plain,
    equal(rselect_tail(q28),index_144),
    inference(spr,[status(thm),theory(equality)],[541,5]),
    [iquote('0:SpR:541.0,5.0')] ).

cnf(1132,plain,
    equal(rselect_tail(queue_136),index_135),
    inference(spr,[status(thm),theory(equality)],[345,5]),
    [iquote('0:SpR:345.0,5.0')] ).

cnf(1133,plain,
    equal(rselect_tail(q26),index_129),
    inference(spr,[status(thm),theory(equality)],[543,5]),
    [iquote('0:SpR:543.0,5.0')] ).

cnf(1134,plain,
    equal(rselect_tail(q10),index_12),
    inference(spr,[status(thm),theory(equality)],[544,5]),
    [iquote('0:SpR:544.0,5.0')] ).

cnf(1135,plain,
    equal(rselect_tail(q25),index_123),
    inference(spr,[status(thm),theory(equality)],[545,5]),
    [iquote('0:SpR:545.0,5.0')] ).

cnf(1136,plain,
    equal(rselect_tail(queue_115),index_114),
    inference(spr,[status(thm),theory(equality)],[337,5]),
    [iquote('0:SpR:337.0,5.0')] ).

cnf(1137,plain,
    equal(rselect_tail(q23),index_108),
    inference(spr,[status(thm),theory(equality)],[547,5]),
    [iquote('0:SpR:547.0,5.0')] ).

cnf(1138,plain,
    equal(rselect_tail(q22),index_102),
    inference(spr,[status(thm),theory(equality)],[548,5]),
    [iquote('0:SpR:548.0,5.0')] ).

cnf(1139,plain,
    equal(index_87,index_90),
    inference(rew,[status(thm),theory(equality)],[325,1090]),
    [iquote('0:Rew:325.0,1090.0')] ).

cnf(1140,plain,
    equal(s(index_84),index_90),
    inference(rew,[status(thm),theory(equality)],[1139,323]),
    [iquote('0:Rew:1139.0,323.0')] ).

cnf(1141,plain,
    equal(rstore_tail(queue_86,index_90),q20),
    inference(rew,[status(thm),theory(equality)],[1139,500]),
    [iquote('0:Rew:1139.0,500.0')] ).

cnf(1144,plain,
    equal(index_81,index_153),
    inference(rew,[status(thm),theory(equality)],[218,1091]),
    [iquote('0:Rew:218.0,1091.0')] ).

cnf(1145,plain,
    equal(s(index_78),index_153),
    inference(rew,[status(thm),theory(equality)],[1144,321]),
    [iquote('0:Rew:1144.0,321.0')] ).

cnf(1146,plain,
    equal(rstore_tail(queue_80,index_153),q2),
    inference(rew,[status(thm),theory(equality)],[1144,501]),
    [iquote('0:Rew:1144.0,501.0')] ).

cnf(1149,plain,
    equal(index_75,index_84),
    inference(rew,[status(thm),theory(equality)],[322,1092]),
    [iquote('0:Rew:322.0,1092.0')] ).

cnf(1150,plain,
    equal(s(index_72),index_84),
    inference(rew,[status(thm),theory(equality)],[1149,319]),
    [iquote('0:Rew:1149.0,319.0')] ).

cnf(1151,plain,
    equal(rstore_tail(queue_74,index_84),q19),
    inference(rew,[status(thm),theory(equality)],[1149,502]),
    [iquote('0:Rew:1149.0,502.0')] ).

cnf(1154,plain,
    equal(index_6,index_78),
    inference(rew,[status(thm),theory(equality)],[320,1093]),
    [iquote('0:Rew:320.0,1093.0')] ).

cnf(1155,plain,
    equal(s(index_3),index_78),
    inference(rew,[status(thm),theory(equality)],[1154,312]),
    [iquote('0:Rew:1154.0,312.0')] ).

cnf(1156,plain,
    equal(rstore_tail(queue_5,index_78),q1),
    inference(rew,[status(thm),theory(equality)],[1154,504]),
    [iquote('0:Rew:1154.0,504.0')] ).

cnf(1159,plain,
    equal(index_60,index_63),
    inference(rew,[status(thm),theory(equality)],[314,1095]),
    [iquote('0:Rew:314.0,1095.0')] ).

cnf(1160,plain,
    equal(s(index_57),index_63),
    inference(rew,[status(thm),theory(equality)],[1159,313]),
    [iquote('0:Rew:1159.0,313.0')] ).

cnf(1161,plain,
    equal(rstore_tail(queue_59,index_63),q17),
    inference(rew,[status(thm),theory(equality)],[1159,505]),
    [iquote('0:Rew:1159.0,505.0')] ).

cnf(1162,plain,
    ~ equal(index_63,index_57),
    inference(rew,[status(thm),theory(equality)],[1159,913]),
    [iquote('0:Rew:1159.0,913.0')] ).

cnf(1163,plain,
    ~ equal(s(index_63),index_57),
    inference(rew,[status(thm),theory(equality)],[1159,1029]),
    [iquote('0:Rew:1159.0,1029.0')] ).

cnf(1164,plain,
    equal(index_54,index_57),
    inference(rew,[status(thm),theory(equality)],[311,1096]),
    [iquote('0:Rew:311.0,1096.0')] ).

cnf(1165,plain,
    equal(s(index_51),index_57),
    inference(rew,[status(thm),theory(equality)],[1164,310]),
    [iquote('0:Rew:1164.0,310.0')] ).

cnf(1166,plain,
    equal(rstore_tail(queue_53,index_57),q16),
    inference(rew,[status(thm),theory(equality)],[1164,506]),
    [iquote('0:Rew:1164.0,506.0')] ).

cnf(1169,plain,
    equal(index_39,index_42),
    inference(rew,[status(thm),theory(equality)],[305,1098]),
    [iquote('0:Rew:305.0,1098.0')] ).

cnf(1170,plain,
    equal(s(index_36),index_42),
    inference(rew,[status(thm),theory(equality)],[1169,304]),
    [iquote('0:Rew:1169.0,304.0')] ).

cnf(1171,plain,
    equal(rstore_tail(queue_38,index_42),q14),
    inference(rew,[status(thm),theory(equality)],[1169,508]),
    [iquote('0:Rew:1169.0,508.0')] ).

cnf(1174,plain,
    equal(index_339,index_342),
    inference(rew,[status(thm),theory(equality)],[298,1100]),
    [iquote('0:Rew:298.0,1100.0')] ).

cnf(1175,plain,
    equal(s(index_336),index_342),
    inference(rew,[status(thm),theory(equality)],[1174,297]),
    [iquote('0:Rew:1174.0,297.0')] ).

cnf(1176,plain,
    equal(rstore_tail(queue_338,index_342),q8),
    inference(rew,[status(thm),theory(equality)],[1174,510]),
    [iquote('0:Rew:1174.0,510.0')] ).

cnf(1179,plain,
    equal(index_33,index_36),
    inference(rew,[status(thm),theory(equality)],[303,1101]),
    [iquote('0:Rew:303.0,1101.0')] ).

cnf(1180,plain,
    equal(s(index_30),index_36),
    inference(rew,[status(thm),theory(equality)],[1179,293]),
    [iquote('0:Rew:1179.0,293.0')] ).

cnf(1181,plain,
    equal(rstore_tail(queue_32,index_36),q13),
    inference(rew,[status(thm),theory(equality)],[1179,511]),
    [iquote('0:Rew:1179.0,511.0')] ).

cnf(1184,plain,
    equal(index_333,index_336),
    inference(rew,[status(thm),theory(equality)],[296,1102]),
    [iquote('0:Rew:296.0,1102.0')] ).

cnf(1185,plain,
    equal(s(index_330),index_336),
    inference(rew,[status(thm),theory(equality)],[1184,295]),
    [iquote('0:Rew:1184.0,295.0')] ).

cnf(1186,plain,
    equal(rstore_tail(queue_332,index_336),q7),
    inference(rew,[status(thm),theory(equality)],[1184,512]),
    [iquote('0:Rew:1184.0,512.0')] ).

cnf(1189,plain,
    equal(index_312,index_321),
    inference(rew,[status(thm),theory(equality)],[289,1105]),
    [iquote('0:Rew:289.0,1105.0')] ).

cnf(1190,plain,
    equal(s(index_309),index_321),
    inference(rew,[status(thm),theory(equality)],[1189,286]),
    [iquote('0:Rew:1189.0,286.0')] ).

cnf(1191,plain,
    equal(rstore_tail(queue_311,index_321),q5),
    inference(rew,[status(thm),theory(equality)],[1189,515]),
    [iquote('0:Rew:1189.0,515.0')] ).

cnf(1194,plain,
    equal(index_306,index_315),
    inference(rew,[status(thm),theory(equality)],[287,1106]),
    [iquote('0:Rew:287.0,1106.0')] ).

cnf(1195,plain,
    equal(s(index_303),index_315),
    inference(rew,[status(thm),theory(equality)],[1194,284]),
    [iquote('0:Rew:1194.0,284.0')] ).

cnf(1196,plain,
    equal(rstore_tail(queue_305,index_315),q49),
    inference(rew,[status(thm),theory(equality)],[1194,516]),
    [iquote('0:Rew:1194.0,516.0')] ).

cnf(1199,plain,
    equal(index_291,index_294),
    inference(rew,[status(thm),theory(equality)],[277,1108]),
    [iquote('0:Rew:277.0,1108.0')] ).

cnf(1200,plain,
    equal(s(index_288),index_294),
    inference(rew,[status(thm),theory(equality)],[1199,276]),
    [iquote('0:Rew:1199.0,276.0')] ).

cnf(1201,plain,
    equal(rstore_tail(queue_290,index_294),q47),
    inference(rew,[status(thm),theory(equality)],[1199,518]),
    [iquote('0:Rew:1199.0,518.0')] ).

cnf(1204,plain,
    equal(index_285,index_288),
    inference(rew,[status(thm),theory(equality)],[275,1109]),
    [iquote('0:Rew:275.0,1109.0')] ).

cnf(1205,plain,
    equal(s(index_282),index_288),
    inference(rew,[status(thm),theory(equality)],[1204,274]),
    [iquote('0:Rew:1204.0,274.0')] ).

cnf(1206,plain,
    equal(rstore_tail(queue_284,index_288),q46),
    inference(rew,[status(thm),theory(equality)],[1204,519]),
    [iquote('0:Rew:1204.0,519.0')] ).

cnf(1209,plain,
    equal(index_270,index_273),
    inference(rew,[status(thm),theory(equality)],[269,1111]),
    [iquote('0:Rew:269.0,1111.0')] ).

cnf(1210,plain,
    equal(s(index_267),index_273),
    inference(rew,[status(thm),theory(equality)],[1209,268]),
    [iquote('0:Rew:1209.0,268.0')] ).

cnf(1211,plain,
    equal(rstore_tail(queue_269,index_273),q44),
    inference(rew,[status(thm),theory(equality)],[1209,522]),
    [iquote('0:Rew:1209.0,522.0')] ).

cnf(1214,plain,
    equal(index_264,index_267),
    inference(rew,[status(thm),theory(equality)],[266,1112]),
    [iquote('0:Rew:266.0,1112.0')] ).

cnf(1215,plain,
    equal(s(index_261),index_267),
    inference(rew,[status(thm),theory(equality)],[1214,265]),
    [iquote('0:Rew:1214.0,265.0')] ).

cnf(1216,plain,
    equal(rstore_tail(queue_263,index_267),q43),
    inference(rew,[status(thm),theory(equality)],[1214,523]),
    [iquote('0:Rew:1214.0,523.0')] ).

cnf(1219,plain,
    equal(index_249,index_252),
    inference(rew,[status(thm),theory(equality)],[259,1114]),
    [iquote('0:Rew:259.0,1114.0')] ).

cnf(1220,plain,
    equal(s(index_246),index_252),
    inference(rew,[status(thm),theory(equality)],[1219,258]),
    [iquote('0:Rew:1219.0,258.0')] ).

cnf(1221,plain,
    equal(rstore_tail(queue_248,index_252),q41),
    inference(rew,[status(thm),theory(equality)],[1219,525]),
    [iquote('0:Rew:1219.0,525.0')] ).

cnf(1224,plain,
    equal(index_243,index_246),
    inference(rew,[status(thm),theory(equality)],[257,1116]),
    [iquote('0:Rew:257.0,1116.0')] ).

cnf(1225,plain,
    equal(s(index_240),index_246),
    inference(rew,[status(thm),theory(equality)],[1224,256]),
    [iquote('0:Rew:1224.0,256.0')] ).

cnf(1226,plain,
    equal(rstore_tail(queue_242,index_246),q40),
    inference(rew,[status(thm),theory(equality)],[1224,526]),
    [iquote('0:Rew:1224.0,526.0')] ).

cnf(1229,plain,
    equal(index_237,index_309),
    inference(rew,[status(thm),theory(equality)],[285,1117]),
    [iquote('0:Rew:285.0,1117.0')] ).

cnf(1230,plain,
    equal(s(index_234),index_309),
    inference(rew,[status(thm),theory(equality)],[1229,253]),
    [iquote('0:Rew:1229.0,253.0')] ).

cnf(1231,plain,
    equal(rstore_tail(queue_236,index_309),q4),
    inference(rew,[status(thm),theory(equality)],[1229,527]),
    [iquote('0:Rew:1229.0,527.0')] ).

cnf(1234,plain,
    equal(index_222,index_225),
    inference(rew,[status(thm),theory(equality)],[248,1119]),
    [iquote('0:Rew:248.0,1119.0')] ).

cnf(1235,plain,
    equal(s(index_219),index_225),
    inference(rew,[status(thm),theory(equality)],[1234,247]),
    [iquote('0:Rew:1234.0,247.0')] ).

cnf(1236,plain,
    equal(rstore_tail(queue_221,index_225),q38),
    inference(rew,[status(thm),theory(equality)],[1234,529]),
    [iquote('0:Rew:1234.0,529.0')] ).

cnf(1239,plain,
    equal(index_216,index_219),
    inference(rew,[status(thm),theory(equality)],[246,1120]),
    [iquote('0:Rew:246.0,1120.0')] ).

cnf(1240,plain,
    equal(s(index_213),index_219),
    inference(rew,[status(thm),theory(equality)],[1239,245]),
    [iquote('0:Rew:1239.0,245.0')] ).

cnf(1241,plain,
    equal(rstore_tail(queue_215,index_219),q37),
    inference(rew,[status(thm),theory(equality)],[1239,530]),
    [iquote('0:Rew:1239.0,530.0')] ).

cnf(1244,plain,
    equal(index_201,index_204),
    inference(rew,[status(thm),theory(equality)],[239,1122]),
    [iquote('0:Rew:239.0,1122.0')] ).

cnf(1245,plain,
    equal(s(index_198),index_204),
    inference(rew,[status(thm),theory(equality)],[1244,238]),
    [iquote('0:Rew:1244.0,238.0')] ).

cnf(1246,plain,
    equal(rstore_tail(queue_200,index_204),q35),
    inference(rew,[status(thm),theory(equality)],[1244,532]),
    [iquote('0:Rew:1244.0,532.0')] ).

cnf(1249,plain,
    equal(index_195,index_198),
    inference(rew,[status(thm),theory(equality)],[237,1123]),
    [iquote('0:Rew:237.0,1123.0')] ).

cnf(1250,plain,
    equal(s(index_192),index_198),
    inference(rew,[status(thm),theory(equality)],[1249,236]),
    [iquote('0:Rew:1249.0,236.0')] ).

cnf(1251,plain,
    equal(rstore_tail(queue_194,index_198),q34),
    inference(rew,[status(thm),theory(equality)],[1249,533]),
    [iquote('0:Rew:1249.0,533.0')] ).

cnf(1254,plain,
    equal(index_18,index_21),
    inference(rew,[status(thm),theory(equality)],[242,1124]),
    [iquote('0:Rew:242.0,1124.0')] ).

cnf(1255,plain,
    equal(s(index_15),index_21),
    inference(rew,[status(thm),theory(equality)],[1254,229]),
    [iquote('0:Rew:1254.0,229.0')] ).

cnf(1256,plain,
    equal(rstore_tail(queue_17,index_21),q11),
    inference(rew,[status(thm),theory(equality)],[1254,535]),
    [iquote('0:Rew:1254.0,535.0')] ).

cnf(1259,plain,
    equal(index_180,index_183),
    inference(rew,[status(thm),theory(equality)],[231,1126]),
    [iquote('0:Rew:231.0,1126.0')] ).

cnf(1260,plain,
    equal(s(index_177),index_183),
    inference(rew,[status(thm),theory(equality)],[1259,230]),
    [iquote('0:Rew:1259.0,230.0')] ).

cnf(1261,plain,
    equal(rstore_tail(queue_179,index_183),q32),
    inference(rew,[status(thm),theory(equality)],[1259,536]),
    [iquote('0:Rew:1259.0,536.0')] ).

cnf(1264,plain,
    equal(index_174,index_177),
    inference(rew,[status(thm),theory(equality)],[228,1127]),
    [iquote('0:Rew:228.0,1127.0')] ).

cnf(1265,plain,
    equal(s(index_171),index_177),
    inference(rew,[status(thm),theory(equality)],[1264,227]),
    [iquote('0:Rew:1264.0,227.0')] ).

cnf(1266,plain,
    equal(rstore_tail(queue_173,index_177),q31),
    inference(rew,[status(thm),theory(equality)],[1264,537]),
    [iquote('0:Rew:1264.0,537.0')] ).

cnf(1269,plain,
    equal(index_150,index_162),
    inference(rew,[status(thm),theory(equality)],[222,1130]),
    [iquote('0:Rew:222.0,1130.0')] ).

cnf(1270,plain,
    equal(s(index_147),index_162),
    inference(rew,[status(thm),theory(equality)],[1269,217]),
    [iquote('0:Rew:1269.0,217.0')] ).

cnf(1271,plain,
    equal(rstore_tail(queue_149,index_162),q29),
    inference(rew,[status(thm),theory(equality)],[1269,540]),
    [iquote('0:Rew:1269.0,540.0')] ).

cnf(1274,plain,
    equal(index_144,index_147),
    inference(rew,[status(thm),theory(equality)],[215,1131]),
    [iquote('0:Rew:215.0,1131.0')] ).

cnf(1275,plain,
    equal(s(index_141),index_147),
    inference(rew,[status(thm),theory(equality)],[1274,214]),
    [iquote('0:Rew:1274.0,214.0')] ).

cnf(1276,plain,
    equal(rstore_tail(queue_143,index_147),q28),
    inference(rew,[status(thm),theory(equality)],[1274,541]),
    [iquote('0:Rew:1274.0,541.0')] ).

cnf(1279,plain,
    equal(index_129,index_132),
    inference(rew,[status(thm),theory(equality)],[209,1133]),
    [iquote('0:Rew:209.0,1133.0')] ).

cnf(1280,plain,
    equal(s(index_126),index_132),
    inference(rew,[status(thm),theory(equality)],[1279,208]),
    [iquote('0:Rew:1279.0,208.0')] ).

cnf(1281,plain,
    equal(rstore_tail(queue_128,index_132),q26),
    inference(rew,[status(thm),theory(equality)],[1279,543]),
    [iquote('0:Rew:1279.0,543.0')] ).

cnf(1284,plain,
    equal(index_12,index_15),
    inference(rew,[status(thm),theory(equality)],[216,1134]),
    [iquote('0:Rew:216.0,1134.0')] ).

cnf(1285,plain,
    equal(s(index_9),index_15),
    inference(rew,[status(thm),theory(equality)],[1284,204]),
    [iquote('0:Rew:1284.0,204.0')] ).

cnf(1286,plain,
    equal(rstore_tail(queue_11,index_15),q10),
    inference(rew,[status(thm),theory(equality)],[1284,544]),
    [iquote('0:Rew:1284.0,544.0')] ).

cnf(1289,plain,
    equal(index_123,index_126),
    inference(rew,[status(thm),theory(equality)],[207,1135]),
    [iquote('0:Rew:207.0,1135.0')] ).

cnf(1290,plain,
    equal(s(index_120),index_126),
    inference(rew,[status(thm),theory(equality)],[1289,206]),
    [iquote('0:Rew:1289.0,206.0')] ).

cnf(1291,plain,
    equal(rstore_tail(queue_122,index_126),q25),
    inference(rew,[status(thm),theory(equality)],[1289,545]),
    [iquote('0:Rew:1289.0,545.0')] ).

cnf(1294,plain,
    equal(index_108,index_111),
    inference(rew,[status(thm),theory(equality)],[200,1137]),
    [iquote('0:Rew:200.0,1137.0')] ).

cnf(1295,plain,
    equal(s(index_105),index_111),
    inference(rew,[status(thm),theory(equality)],[1294,199]),
    [iquote('0:Rew:1294.0,199.0')] ).

cnf(1296,plain,
    equal(rstore_tail(queue_107,index_111),q23),
    inference(rew,[status(thm),theory(equality)],[1294,547]),
    [iquote('0:Rew:1294.0,547.0')] ).

cnf(1299,plain,
    equal(index_102,index_105),
    inference(rew,[status(thm),theory(equality)],[198,1138]),
    [iquote('0:Rew:198.0,1138.0')] ).

cnf(1300,plain,
    equal(s(index_99),index_105),
    inference(rew,[status(thm),theory(equality)],[1299,197]),
    [iquote('0:Rew:1299.0,197.0')] ).

cnf(1301,plain,
    equal(rstore_tail(queue_101,index_105),q22),
    inference(rew,[status(thm),theory(equality)],[1299,548]),
    [iquote('0:Rew:1299.0,548.0')] ).

cnf(1308,plain,
    ~ equal(index_66,index_57),
    inference(rew,[status(thm),theory(equality)],[315,1163]),
    [iquote('0:Rew:315.0,1163.0')] ).

cnf(1586,plain,
    equal(rselect_head(q21),index_96),
    inference(spr,[status(thm),theory(equality)],[499,4]),
    [iquote('0:SpR:499.0,4.0')] ).

cnf(1587,plain,
    equal(rselect_head(q18),index_69),
    inference(spr,[status(thm),theory(equality)],[503,4]),
    [iquote('0:SpR:503.0,4.0')] ).

cnf(1588,plain,
    equal(rselect_head(q15),index_48),
    inference(spr,[status(thm),theory(equality)],[507,4]),
    [iquote('0:SpR:507.0,4.0')] ).

cnf(1589,plain,
    equal(rselect_head(q9),index_348),
    inference(spr,[status(thm),theory(equality)],[509,4]),
    [iquote('0:SpR:509.0,4.0')] ).

cnf(1590,plain,
    equal(rselect_head(q6),index_327),
    inference(spr,[status(thm),theory(equality)],[513,4]),
    [iquote('0:SpR:513.0,4.0')] ).

cnf(1591,plain,
    equal(rselect_head(q48),index_300),
    inference(spr,[status(thm),theory(equality)],[517,4]),
    [iquote('0:SpR:517.0,4.0')] ).

cnf(1592,plain,
    equal(rselect_head(q45),index_279),
    inference(spr,[status(thm),theory(equality)],[520,4]),
    [iquote('0:SpR:520.0,4.0')] ).

cnf(1593,plain,
    equal(rselect_head(q12),index_27),
    inference(spr,[status(thm),theory(equality)],[521,4]),
    [iquote('0:SpR:521.0,4.0')] ).

cnf(1594,plain,
    equal(rselect_head(q42),index_258),
    inference(spr,[status(thm),theory(equality)],[524,4]),
    [iquote('0:SpR:524.0,4.0')] ).

cnf(1595,plain,
    equal(rselect_head(q39),index_231),
    inference(spr,[status(thm),theory(equality)],[528,4]),
    [iquote('0:SpR:528.0,4.0')] ).

cnf(1596,plain,
    equal(rselect_head(q36),index_210),
    inference(spr,[status(thm),theory(equality)],[531,4]),
    [iquote('0:SpR:531.0,4.0')] ).

cnf(1597,plain,
    equal(rselect_head(q33),index_189),
    inference(spr,[status(thm),theory(equality)],[534,4]),
    [iquote('0:SpR:534.0,4.0')] ).

cnf(1598,plain,
    equal(rselect_head(q30),index_168),
    inference(spr,[status(thm),theory(equality)],[538,4]),
    [iquote('0:SpR:538.0,4.0')] ).

cnf(1599,plain,
    equal(rselect_head(q3),index_159),
    inference(spr,[status(thm),theory(equality)],[539,4]),
    [iquote('0:SpR:539.0,4.0')] ).

cnf(1600,plain,
    equal(rselect_head(q27),index_138),
    inference(spr,[status(thm),theory(equality)],[542,4]),
    [iquote('0:SpR:542.0,4.0')] ).

cnf(1601,plain,
    equal(rselect_head(q24),index_117),
    inference(spr,[status(thm),theory(equality)],[546,4]),
    [iquote('0:SpR:546.0,4.0')] ).

cnf(1602,plain,
    equal(rselect_head(q0),index_0),
    inference(spr,[status(thm),theory(equality)],[549,4]),
    [iquote('0:SpR:549.0,4.0')] ).

cnf(1608,plain,
    equal(rselect_seq(queue_92),earray_91),
    inference(spr,[status(thm),theory(equality)],[444,3]),
    [iquote('0:SpR:444.0,3.0')] ).

cnf(1609,plain,
    equal(rselect_seq(queue_86),earray_85),
    inference(spr,[status(thm),theory(equality)],[442,3]),
    [iquote('0:SpR:442.0,3.0')] ).

cnf(1611,plain,
    equal(rselect_seq(queue_74),earray_73),
    inference(spr,[status(thm),theory(equality)],[438,3]),
    [iquote('0:SpR:438.0,3.0')] ).

cnf(1612,plain,
    equal(rselect_seq(queue_65),earray_64),
    inference(spr,[status(thm),theory(equality)],[434,3]),
    [iquote('0:SpR:434.0,3.0')] ).

cnf(1613,plain,
    equal(rselect_seq(queue_59),earray_58),
    inference(spr,[status(thm),theory(equality)],[432,3]),
    [iquote('0:SpR:432.0,3.0')] ).

cnf(1614,plain,
    equal(rselect_seq(queue_53),earray_52),
    inference(spr,[status(thm),theory(equality)],[430,3]),
    [iquote('0:SpR:430.0,3.0')] ).

cnf(1623,plain,
    equal(rselect_seq(queue_317),earray_316),
    inference(spr,[status(thm),theory(equality)],[410,3]),
    [iquote('0:SpR:410.0,3.0')] ).

cnf(1625,plain,
    equal(rselect_seq(queue_305),earray_304),
    inference(spr,[status(thm),theory(equality)],[406,3]),
    [iquote('0:SpR:406.0,3.0')] ).

cnf(1626,plain,
    equal(rselect_seq(queue_296),earray_295),
    inference(spr,[status(thm),theory(equality)],[403,3]),
    [iquote('0:SpR:403.0,3.0')] ).

cnf(1627,plain,
    equal(rselect_seq(queue_290),earray_289),
    inference(spr,[status(thm),theory(equality)],[401,3]),
    [iquote('0:SpR:401.0,3.0')] ).

cnf(1628,plain,
    equal(rselect_seq(queue_284),earray_283),
    inference(spr,[status(thm),theory(equality)],[399,3]),
    [iquote('0:SpR:399.0,3.0')] ).

cnf(1629,plain,
    equal(rselect_seq(queue_275),earray_274),
    inference(spr,[status(thm),theory(equality)],[395,3]),
    [iquote('0:SpR:395.0,3.0')] ).

cnf(1630,plain,
    equal(rselect_seq(queue_269),earray_268),
    inference(spr,[status(thm),theory(equality)],[393,3]),
    [iquote('0:SpR:393.0,3.0')] ).

cnf(1631,plain,
    equal(rselect_seq(queue_263),earray_262),
    inference(spr,[status(thm),theory(equality)],[391,3]),
    [iquote('0:SpR:391.0,3.0')] ).

cnf(1632,plain,
    equal(rselect_seq(queue_254),earray_253),
    inference(spr,[status(thm),theory(equality)],[388,3]),
    [iquote('0:SpR:388.0,3.0')] ).

cnf(1633,plain,
    equal(rselect_seq(queue_248),earray_247),
    inference(spr,[status(thm),theory(equality)],[385,3]),
    [iquote('0:SpR:385.0,3.0')] ).

cnf(1634,plain,
    equal(rselect_seq(queue_242),earray_241),
    inference(spr,[status(thm),theory(equality)],[383,3]),
    [iquote('0:SpR:383.0,3.0')] ).

cnf(1637,plain,
    equal(rselect_seq(queue_227),earray_226),
    inference(spr,[status(thm),theory(equality)],[377,3]),
    [iquote('0:SpR:377.0,3.0')] ).

cnf(1638,plain,
    equal(rselect_seq(queue_221),earray_220),
    inference(spr,[status(thm),theory(equality)],[375,3]),
    [iquote('0:SpR:375.0,3.0')] ).

cnf(1639,plain,
    equal(rselect_seq(queue_215),earray_214),
    inference(spr,[status(thm),theory(equality)],[373,3]),
    [iquote('0:SpR:373.0,3.0')] ).

cnf(1640,plain,
    equal(rselect_seq(queue_206),earray_205),
    inference(spr,[status(thm),theory(equality)],[370,3]),
    [iquote('0:SpR:370.0,3.0')] ).

cnf(1641,plain,
    equal(rselect_seq(queue_200),earray_199),
    inference(spr,[status(thm),theory(equality)],[368,3]),
    [iquote('0:SpR:368.0,3.0')] ).

cnf(1642,plain,
    equal(rselect_seq(queue_194),earray_193),
    inference(spr,[status(thm),theory(equality)],[366,3]),
    [iquote('0:SpR:366.0,3.0')] ).

cnf(1643,plain,
    equal(rselect_seq(queue_185),earray_184),
    inference(spr,[status(thm),theory(equality)],[362,3]),
    [iquote('0:SpR:362.0,3.0')] ).

cnf(1644,plain,
    equal(rselect_seq(queue_179),earray_178),
    inference(spr,[status(thm),theory(equality)],[360,3]),
    [iquote('0:SpR:360.0,3.0')] ).

cnf(1645,plain,
    equal(rselect_seq(queue_173),earray_172),
    inference(spr,[status(thm),theory(equality)],[358,3]),
    [iquote('0:SpR:358.0,3.0')] ).

cnf(1647,plain,
    equal(rselect_seq(queue_164),earray_163),
    inference(spr,[status(thm),theory(equality)],[354,3]),
    [iquote('0:SpR:354.0,3.0')] ).

cnf(1649,plain,
    equal(rselect_seq(queue_149),earray_148),
    inference(spr,[status(thm),theory(equality)],[349,3]),
    [iquote('0:SpR:349.0,3.0')] ).

cnf(1650,plain,
    equal(rselect_seq(queue_143),earray_142),
    inference(spr,[status(thm),theory(equality)],[347,3]),
    [iquote('0:SpR:347.0,3.0')] ).

cnf(1651,plain,
    equal(rselect_seq(queue_134),earray_133),
    inference(spr,[status(thm),theory(equality)],[344,3]),
    [iquote('0:SpR:344.0,3.0')] ).

cnf(1652,plain,
    equal(rselect_seq(queue_128),earray_127),
    inference(spr,[status(thm),theory(equality)],[341,3]),
    [iquote('0:SpR:341.0,3.0')] ).

cnf(1653,plain,
    equal(rselect_seq(queue_122),earray_121),
    inference(spr,[status(thm),theory(equality)],[339,3]),
    [iquote('0:SpR:339.0,3.0')] ).

cnf(1654,plain,
    equal(rselect_seq(queue_113),earray_112),
    inference(spr,[status(thm),theory(equality)],[336,3]),
    [iquote('0:SpR:336.0,3.0')] ).

cnf(1656,plain,
    equal(rselect_seq(queue_107),earray_106),
    inference(spr,[status(thm),theory(equality)],[333,3]),
    [iquote('0:SpR:333.0,3.0')] ).

cnf(1657,plain,
    equal(rselect_seq(queue_101),earray_100),
    inference(spr,[status(thm),theory(equality)],[331,3]),
    [iquote('0:SpR:331.0,3.0')] ).

cnf(1699,plain,
    ~ equal(s(s(index_63)),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,91]),
    [iquote('0:SpL:1160.0,91.0')] ).

cnf(1732,plain,
    ~ equal(s(index_66),index_57),
    inference(rew,[status(thm),theory(equality)],[315,1699]),
    [iquote('0:Rew:315.0,1699.0')] ).

cnf(1766,plain,
    equal(rselect_tail(queue_94),rselect_tail(q21)),
    inference(spr,[status(thm),theory(equality)],[499,11]),
    [iquote('0:SpR:499.0,11.0')] ).

cnf(1767,plain,
    equal(rselect_tail(queue_67),rselect_tail(q18)),
    inference(spr,[status(thm),theory(equality)],[503,11]),
    [iquote('0:SpR:503.0,11.0')] ).

cnf(1768,plain,
    equal(rselect_tail(queue_46),rselect_tail(q15)),
    inference(spr,[status(thm),theory(equality)],[507,11]),
    [iquote('0:SpR:507.0,11.0')] ).

cnf(1769,plain,
    equal(rselect_tail(queue_346),rselect_tail(q9)),
    inference(spr,[status(thm),theory(equality)],[509,11]),
    [iquote('0:SpR:509.0,11.0')] ).

cnf(1770,plain,
    equal(rselect_tail(queue_325),rselect_tail(q6)),
    inference(spr,[status(thm),theory(equality)],[513,11]),
    [iquote('0:SpR:513.0,11.0')] ).

cnf(1771,plain,
    equal(rselect_tail(queue_298),rselect_tail(q48)),
    inference(spr,[status(thm),theory(equality)],[517,11]),
    [iquote('0:SpR:517.0,11.0')] ).

cnf(1772,plain,
    equal(rselect_tail(queue_277),rselect_tail(q45)),
    inference(spr,[status(thm),theory(equality)],[520,11]),
    [iquote('0:SpR:520.0,11.0')] ).

cnf(1773,plain,
    equal(rselect_tail(queue_25),rselect_tail(q12)),
    inference(spr,[status(thm),theory(equality)],[521,11]),
    [iquote('0:SpR:521.0,11.0')] ).

cnf(1774,plain,
    equal(rselect_tail(queue_256),rselect_tail(q42)),
    inference(spr,[status(thm),theory(equality)],[524,11]),
    [iquote('0:SpR:524.0,11.0')] ).

cnf(1775,plain,
    equal(rselect_tail(queue_229),rselect_tail(q39)),
    inference(spr,[status(thm),theory(equality)],[528,11]),
    [iquote('0:SpR:528.0,11.0')] ).

cnf(1776,plain,
    equal(rselect_tail(queue_208),rselect_tail(q36)),
    inference(spr,[status(thm),theory(equality)],[531,11]),
    [iquote('0:SpR:531.0,11.0')] ).

cnf(1777,plain,
    equal(rselect_tail(queue_187),rselect_tail(q33)),
    inference(spr,[status(thm),theory(equality)],[534,11]),
    [iquote('0:SpR:534.0,11.0')] ).

cnf(1778,plain,
    equal(rselect_tail(queue_166),rselect_tail(q30)),
    inference(spr,[status(thm),theory(equality)],[538,11]),
    [iquote('0:SpR:538.0,11.0')] ).

cnf(1779,plain,
    equal(rselect_tail(queue_157),rselect_tail(q3)),
    inference(spr,[status(thm),theory(equality)],[539,11]),
    [iquote('0:SpR:539.0,11.0')] ).

cnf(1780,plain,
    equal(rselect_tail(queue_136),rselect_tail(q27)),
    inference(spr,[status(thm),theory(equality)],[542,11]),
    [iquote('0:SpR:542.0,11.0')] ).

cnf(1781,plain,
    equal(rselect_tail(queue_115),rselect_tail(q24)),
    inference(spr,[status(thm),theory(equality)],[546,11]),
    [iquote('0:SpR:546.0,11.0')] ).

cnf(1782,plain,
    equal(rselect_tail(q),rselect_tail(q0)),
    inference(spr,[status(thm),theory(equality)],[549,11]),
    [iquote('0:SpR:549.0,11.0')] ).

cnf(1783,plain,
    equal(index_93,index_99),
    inference(rew,[status(thm),theory(equality)],[1089,1766,329]),
    [iquote('0:Rew:1089.0,1766.0,329.0,1766.0')] ).

cnf(1784,plain,
    equal(s(index_90),index_99),
    inference(rew,[status(thm),theory(equality)],[1783,326]),
    [iquote('0:Rew:1783.0,326.0')] ).

cnf(1785,plain,
    equal(rstore_tail(queue_92,index_99),queue_94),
    inference(rew,[status(thm),theory(equality)],[1783,445]),
    [iquote('0:Rew:1783.0,445.0')] ).

cnf(1793,plain,
    equal(index_66,index_72),
    inference(rew,[status(thm),theory(equality)],[1094,1767,318]),
    [iquote('0:Rew:1094.0,1767.0,318.0,1767.0')] ).

cnf(1794,plain,
    equal(s(index_63),index_72),
    inference(rew,[status(thm),theory(equality)],[1793,315]),
    [iquote('0:Rew:1793.0,315.0')] ).

cnf(1795,plain,
    equal(rstore_tail(queue_65,index_72),queue_67),
    inference(rew,[status(thm),theory(equality)],[1793,435]),
    [iquote('0:Rew:1793.0,435.0')] ).

cnf(1798,plain,
    ~ equal(index_72,index_57),
    inference(rew,[status(thm),theory(equality)],[1793,1308]),
    [iquote('0:Rew:1793.0,1308.0')] ).

cnf(1801,plain,
    ~ equal(s(index_72),index_57),
    inference(rew,[status(thm),theory(equality)],[1793,1732]),
    [iquote('0:Rew:1793.0,1732.0')] ).

cnf(1803,plain,
    equal(index_45,index_51),
    inference(rew,[status(thm),theory(equality)],[1097,1768,309]),
    [iquote('0:Rew:1097.0,1768.0,309.0,1768.0')] ).

cnf(1804,plain,
    equal(s(index_42),index_51),
    inference(rew,[status(thm),theory(equality)],[1803,306]),
    [iquote('0:Rew:1803.0,306.0')] ).

cnf(1805,plain,
    equal(rstore_tail(queue_44,index_51),queue_46),
    inference(rew,[status(thm),theory(equality)],[1803,427]),
    [iquote('0:Rew:1803.0,427.0')] ).

cnf(1813,plain,
    equal(index_345,index_9),
    inference(rew,[status(thm),theory(equality)],[1099,1769,324]),
    [iquote('0:Rew:1099.0,1769.0,324.0,1769.0')] ).

cnf(1814,plain,
    equal(s(index_342),index_9),
    inference(rew,[status(thm),theory(equality)],[1813,299]),
    [iquote('0:Rew:1813.0,299.0')] ).

cnf(1815,plain,
    equal(rstore_tail(queue_344,index_9),queue_346),
    inference(rew,[status(thm),theory(equality)],[1813,422]),
    [iquote('0:Rew:1813.0,422.0')] ).

cnf(1823,plain,
    equal(index_324,index_330),
    inference(rew,[status(thm),theory(equality)],[1103,1770,294]),
    [iquote('0:Rew:1103.0,1770.0,294.0,1770.0')] ).

cnf(1824,plain,
    equal(s(index_321),index_330),
    inference(rew,[status(thm),theory(equality)],[1823,290]),
    [iquote('0:Rew:1823.0,290.0')] ).

cnf(1825,plain,
    equal(rstore_tail(queue_323,index_330),queue_325),
    inference(rew,[status(thm),theory(equality)],[1823,414]),
    [iquote('0:Rew:1823.0,414.0')] ).

cnf(1833,plain,
    equal(index_297,index_303),
    inference(rew,[status(thm),theory(equality)],[1107,1771,283]),
    [iquote('0:Rew:1107.0,1771.0,283.0,1771.0')] ).

cnf(1834,plain,
    equal(s(index_294),index_303),
    inference(rew,[status(thm),theory(equality)],[1833,278]),
    [iquote('0:Rew:1833.0,278.0')] ).

cnf(1835,plain,
    equal(rstore_tail(queue_296,index_303),queue_298),
    inference(rew,[status(thm),theory(equality)],[1833,404]),
    [iquote('0:Rew:1833.0,404.0')] ).

cnf(1843,plain,
    equal(index_276,index_282),
    inference(rew,[status(thm),theory(equality)],[1110,1772,273]),
    [iquote('0:Rew:1110.0,1772.0,273.0,1772.0')] ).

cnf(1844,plain,
    equal(s(index_273),index_282),
    inference(rew,[status(thm),theory(equality)],[1843,270]),
    [iquote('0:Rew:1843.0,270.0')] ).

cnf(1845,plain,
    equal(rstore_tail(queue_275,index_282),queue_277),
    inference(rew,[status(thm),theory(equality)],[1843,396]),
    [iquote('0:Rew:1843.0,396.0')] ).

cnf(1853,plain,
    equal(index_24,index_30),
    inference(rew,[status(thm),theory(equality)],[1115,1773,281]),
    [iquote('0:Rew:1115.0,1773.0,281.0,1773.0')] ).

cnf(1854,plain,
    equal(s(index_21),index_30),
    inference(rew,[status(thm),theory(equality)],[1853,254]),
    [iquote('0:Rew:1853.0,254.0')] ).

cnf(1855,plain,
    equal(rstore_tail(queue_23,index_30),queue_25),
    inference(rew,[status(thm),theory(equality)],[1853,386]),
    [iquote('0:Rew:1853.0,386.0')] ).

cnf(1863,plain,
    equal(index_255,index_261),
    inference(rew,[status(thm),theory(equality)],[1113,1774,264]),
    [iquote('0:Rew:1113.0,1774.0,264.0,1774.0')] ).

cnf(1864,plain,
    equal(s(index_252),index_261),
    inference(rew,[status(thm),theory(equality)],[1863,260]),
    [iquote('0:Rew:1863.0,260.0')] ).

cnf(1865,plain,
    equal(rstore_tail(queue_254,index_261),queue_256),
    inference(rew,[status(thm),theory(equality)],[1863,389]),
    [iquote('0:Rew:1863.0,389.0')] ).

cnf(1873,plain,
    equal(index_228,index_240),
    inference(rew,[status(thm),theory(equality)],[1118,1775,255]),
    [iquote('0:Rew:1118.0,1775.0,255.0,1775.0')] ).

cnf(1874,plain,
    equal(s(index_225),index_240),
    inference(rew,[status(thm),theory(equality)],[1873,249]),
    [iquote('0:Rew:1873.0,249.0')] ).

cnf(1875,plain,
    equal(rstore_tail(queue_227,index_240),queue_229),
    inference(rew,[status(thm),theory(equality)],[1873,378]),
    [iquote('0:Rew:1873.0,378.0')] ).

cnf(1883,plain,
    equal(index_207,index_213),
    inference(rew,[status(thm),theory(equality)],[1121,1776,244]),
    [iquote('0:Rew:1121.0,1776.0,244.0,1776.0')] ).

cnf(1884,plain,
    equal(s(index_204),index_213),
    inference(rew,[status(thm),theory(equality)],[1883,240]),
    [iquote('0:Rew:1883.0,240.0')] ).

cnf(1885,plain,
    equal(rstore_tail(queue_206,index_213),queue_208),
    inference(rew,[status(thm),theory(equality)],[1883,371]),
    [iquote('0:Rew:1883.0,371.0')] ).

cnf(1893,plain,
    equal(index_186,index_192),
    inference(rew,[status(thm),theory(equality)],[1125,1777,235]),
    [iquote('0:Rew:1125.0,1777.0,235.0,1777.0')] ).

cnf(1894,plain,
    equal(s(index_183),index_192),
    inference(rew,[status(thm),theory(equality)],[1893,232]),
    [iquote('0:Rew:1893.0,232.0')] ).

cnf(1895,plain,
    equal(rstore_tail(queue_185,index_192),queue_187),
    inference(rew,[status(thm),theory(equality)],[1893,363]),
    [iquote('0:Rew:1893.0,363.0')] ).

cnf(1903,plain,
    equal(index_165,index_171),
    inference(rew,[status(thm),theory(equality)],[1128,1778,226]),
    [iquote('0:Rew:1128.0,1778.0,226.0,1778.0')] ).

cnf(1904,plain,
    equal(s(index_162),index_171),
    inference(rew,[status(thm),theory(equality)],[1903,223]),
    [iquote('0:Rew:1903.0,223.0')] ).

cnf(1905,plain,
    equal(rstore_tail(queue_164,index_171),queue_166),
    inference(rew,[status(thm),theory(equality)],[1903,355]),
    [iquote('0:Rew:1903.0,355.0')] ).

cnf(1913,plain,
    equal(index_156,index_234),
    inference(rew,[status(thm),theory(equality)],[1129,1779,252]),
    [iquote('0:Rew:1129.0,1779.0,252.0,1779.0')] ).

cnf(1914,plain,
    equal(s(index_153),index_234),
    inference(rew,[status(thm),theory(equality)],[1913,219]),
    [iquote('0:Rew:1913.0,219.0')] ).

cnf(1915,plain,
    equal(rstore_tail(queue_155,index_234),queue_157),
    inference(rew,[status(thm),theory(equality)],[1913,352]),
    [iquote('0:Rew:1913.0,352.0')] ).

cnf(1923,plain,
    equal(index_135,index_141),
    inference(rew,[status(thm),theory(equality)],[1132,1780,213]),
    [iquote('0:Rew:1132.0,1780.0,213.0,1780.0')] ).

cnf(1924,plain,
    equal(s(index_132),index_141),
    inference(rew,[status(thm),theory(equality)],[1923,210]),
    [iquote('0:Rew:1923.0,210.0')] ).

cnf(1925,plain,
    equal(rstore_tail(queue_134,index_141),queue_136),
    inference(rew,[status(thm),theory(equality)],[1923,345]),
    [iquote('0:Rew:1923.0,345.0')] ).

cnf(1933,plain,
    equal(index_114,index_120),
    inference(rew,[status(thm),theory(equality)],[1136,1781,205]),
    [iquote('0:Rew:1136.0,1781.0,205.0,1781.0')] ).

cnf(1934,plain,
    equal(s(index_111),index_120),
    inference(rew,[status(thm),theory(equality)],[1933,201]),
    [iquote('0:Rew:1933.0,201.0')] ).

cnf(1935,plain,
    equal(rstore_tail(queue_113,index_120),queue_115),
    inference(rew,[status(thm),theory(equality)],[1933,337]),
    [iquote('0:Rew:1933.0,337.0')] ).

cnf(1943,plain,
    equal(index_0,index_3),
    inference(rew,[status(thm),theory(equality)],[196,1782,280]),
    [iquote('0:Rew:196.0,1782.0,280.0,1782.0')] ).

cnf(1946,plain,
    equal(rselect_head(q0),index_3),
    inference(rew,[status(thm),theory(equality)],[1943,1602]),
    [iquote('0:Rew:1943.0,1602.0')] ).

cnf(1950,plain,
    ~ equal(index_84,index_57),
    inference(rew,[status(thm),theory(equality)],[1150,1801]),
    [iquote('0:Rew:1150.0,1801.0')] ).

cnf(2318,plain,
    equal(rselect_head(queue_92),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[444,9]),
    [iquote('0:SpR:444.0,9.0')] ).

cnf(2319,plain,
    equal(rselect_head(queue_86),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[442,9]),
    [iquote('0:SpR:442.0,9.0')] ).

cnf(2320,plain,
    equal(rselect_head(queue_80),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[440,9]),
    [iquote('0:SpR:440.0,9.0')] ).

cnf(2321,plain,
    equal(rselect_head(queue_74),rselect_head(q18)),
    inference(spr,[status(thm),theory(equality)],[438,9]),
    [iquote('0:SpR:438.0,9.0')] ).

cnf(2322,plain,
    equal(rselect_head(queue_65),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[434,9]),
    [iquote('0:SpR:434.0,9.0')] ).

cnf(2323,plain,
    equal(rselect_head(queue_59),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[432,9]),
    [iquote('0:SpR:432.0,9.0')] ).

cnf(2324,plain,
    equal(rselect_head(queue_53),rselect_head(q15)),
    inference(spr,[status(thm),theory(equality)],[430,9]),
    [iquote('0:SpR:430.0,9.0')] ).

cnf(2325,plain,
    equal(rselect_head(queue_5),rselect_head(q0)),
    inference(spr,[status(thm),theory(equality)],[429,9]),
    [iquote('0:SpR:429.0,9.0')] ).

cnf(2326,plain,
    equal(rselect_head(queue_44),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[426,9]),
    [iquote('0:SpR:426.0,9.0')] ).

cnf(2327,plain,
    equal(rselect_head(queue_38),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[424,9]),
    [iquote('0:SpR:424.0,9.0')] ).

cnf(2328,plain,
    equal(rselect_head(queue_344),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[421,9]),
    [iquote('0:SpR:421.0,9.0')] ).

cnf(2329,plain,
    equal(rselect_head(queue_338),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[418,9]),
    [iquote('0:SpR:418.0,9.0')] ).

cnf(2330,plain,
    equal(rselect_head(queue_332),rselect_head(q6)),
    inference(spr,[status(thm),theory(equality)],[416,9]),
    [iquote('0:SpR:416.0,9.0')] ).

cnf(2331,plain,
    equal(rselect_head(queue_323),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[413,9]),
    [iquote('0:SpR:413.0,9.0')] ).

cnf(2332,plain,
    equal(rselect_head(queue_32),rselect_head(q12)),
    inference(spr,[status(thm),theory(equality)],[412,9]),
    [iquote('0:SpR:412.0,9.0')] ).

cnf(2333,plain,
    equal(rselect_head(queue_317),rselect_head(q49)),
    inference(spr,[status(thm),theory(equality)],[410,9]),
    [iquote('0:SpR:410.0,9.0')] ).

cnf(2334,plain,
    equal(rselect_head(queue_311),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[408,9]),
    [iquote('0:SpR:408.0,9.0')] ).

cnf(2335,plain,
    equal(rselect_head(queue_305),rselect_head(q48)),
    inference(spr,[status(thm),theory(equality)],[406,9]),
    [iquote('0:SpR:406.0,9.0')] ).

cnf(2336,plain,
    equal(rselect_head(queue_296),rselect_head(q47)),
    inference(spr,[status(thm),theory(equality)],[403,9]),
    [iquote('0:SpR:403.0,9.0')] ).

cnf(2337,plain,
    equal(rselect_head(queue_290),rselect_head(q46)),
    inference(spr,[status(thm),theory(equality)],[401,9]),
    [iquote('0:SpR:401.0,9.0')] ).

cnf(2338,plain,
    equal(rselect_head(queue_284),rselect_head(q45)),
    inference(spr,[status(thm),theory(equality)],[399,9]),
    [iquote('0:SpR:399.0,9.0')] ).

cnf(2339,plain,
    equal(rselect_head(queue_275),rselect_head(q44)),
    inference(spr,[status(thm),theory(equality)],[395,9]),
    [iquote('0:SpR:395.0,9.0')] ).

cnf(2340,plain,
    equal(rselect_head(queue_269),rselect_head(q43)),
    inference(spr,[status(thm),theory(equality)],[393,9]),
    [iquote('0:SpR:393.0,9.0')] ).

cnf(2341,plain,
    equal(rselect_head(queue_263),rselect_head(q42)),
    inference(spr,[status(thm),theory(equality)],[391,9]),
    [iquote('0:SpR:391.0,9.0')] ).

cnf(2342,plain,
    equal(rselect_head(queue_254),rselect_head(q41)),
    inference(spr,[status(thm),theory(equality)],[388,9]),
    [iquote('0:SpR:388.0,9.0')] ).

cnf(2343,plain,
    equal(rselect_head(queue_248),rselect_head(q40)),
    inference(spr,[status(thm),theory(equality)],[385,9]),
    [iquote('0:SpR:385.0,9.0')] ).

cnf(2344,plain,
    equal(rselect_head(queue_242),rselect_head(q39)),
    inference(spr,[status(thm),theory(equality)],[383,9]),
    [iquote('0:SpR:383.0,9.0')] ).

cnf(2345,plain,
    equal(rselect_head(queue_236),rselect_head(q3)),
    inference(spr,[status(thm),theory(equality)],[381,9]),
    [iquote('0:SpR:381.0,9.0')] ).

cnf(2346,plain,
    equal(rselect_head(queue_23),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[379,9]),
    [iquote('0:SpR:379.0,9.0')] ).

cnf(2347,plain,
    equal(rselect_head(queue_227),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[377,9]),
    [iquote('0:SpR:377.0,9.0')] ).

cnf(2348,plain,
    equal(rselect_head(queue_221),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[375,9]),
    [iquote('0:SpR:375.0,9.0')] ).

cnf(2349,plain,
    equal(rselect_head(queue_215),rselect_head(q36)),
    inference(spr,[status(thm),theory(equality)],[373,9]),
    [iquote('0:SpR:373.0,9.0')] ).

cnf(2350,plain,
    equal(rselect_head(queue_206),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[370,9]),
    [iquote('0:SpR:370.0,9.0')] ).

cnf(2351,plain,
    equal(rselect_head(queue_200),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[368,9]),
    [iquote('0:SpR:368.0,9.0')] ).

cnf(2352,plain,
    equal(rselect_head(queue_194),rselect_head(q33)),
    inference(spr,[status(thm),theory(equality)],[366,9]),
    [iquote('0:SpR:366.0,9.0')] ).

cnf(2353,plain,
    equal(rselect_head(queue_185),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[362,9]),
    [iquote('0:SpR:362.0,9.0')] ).

cnf(2354,plain,
    equal(rselect_head(queue_179),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[360,9]),
    [iquote('0:SpR:360.0,9.0')] ).

cnf(2355,plain,
    equal(rselect_head(queue_173),rselect_head(q30)),
    inference(spr,[status(thm),theory(equality)],[358,9]),
    [iquote('0:SpR:358.0,9.0')] ).

cnf(2356,plain,
    equal(rselect_head(queue_17),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[357,9]),
    [iquote('0:SpR:357.0,9.0')] ).

cnf(2357,plain,
    equal(rselect_head(queue_164),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[354,9]),
    [iquote('0:SpR:354.0,9.0')] ).

cnf(2358,plain,
    equal(rselect_head(queue_155),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[351,9]),
    [iquote('0:SpR:351.0,9.0')] ).

cnf(2359,plain,
    equal(rselect_head(queue_149),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[349,9]),
    [iquote('0:SpR:349.0,9.0')] ).

cnf(2360,plain,
    equal(rselect_head(queue_143),rselect_head(q27)),
    inference(spr,[status(thm),theory(equality)],[347,9]),
    [iquote('0:SpR:347.0,9.0')] ).

cnf(2361,plain,
    equal(rselect_head(queue_134),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[344,9]),
    [iquote('0:SpR:344.0,9.0')] ).

cnf(2362,plain,
    equal(rselect_head(queue_128),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[341,9]),
    [iquote('0:SpR:341.0,9.0')] ).

cnf(2363,plain,
    equal(rselect_head(queue_122),rselect_head(q24)),
    inference(spr,[status(thm),theory(equality)],[339,9]),
    [iquote('0:SpR:339.0,9.0')] ).

cnf(2364,plain,
    equal(rselect_head(queue_113),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[336,9]),
    [iquote('0:SpR:336.0,9.0')] ).

cnf(2365,plain,
    equal(rselect_head(queue_11),rselect_head(q9)),
    inference(spr,[status(thm),theory(equality)],[335,9]),
    [iquote('0:SpR:335.0,9.0')] ).

cnf(2366,plain,
    equal(rselect_head(queue_107),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[333,9]),
    [iquote('0:SpR:333.0,9.0')] ).

cnf(2367,plain,
    equal(rselect_head(queue_101),rselect_head(q21)),
    inference(spr,[status(thm),theory(equality)],[331,9]),
    [iquote('0:SpR:331.0,9.0')] ).

cnf(2368,plain,
    equal(rselect_head(queue_74),index_69),
    inference(rew,[status(thm),theory(equality)],[1587,2321]),
    [iquote('0:Rew:1587.0,2321.0')] ).

cnf(2369,plain,
    equal(rselect_head(queue_53),index_48),
    inference(rew,[status(thm),theory(equality)],[1588,2324]),
    [iquote('0:Rew:1588.0,2324.0')] ).

cnf(2370,plain,
    equal(rselect_head(queue_5),index_3),
    inference(rew,[status(thm),theory(equality)],[1946,2325]),
    [iquote('0:Rew:1946.0,2325.0')] ).

cnf(2371,plain,
    equal(rselect_head(queue_332),index_327),
    inference(rew,[status(thm),theory(equality)],[1590,2330]),
    [iquote('0:Rew:1590.0,2330.0')] ).

cnf(2372,plain,
    equal(rselect_head(queue_32),index_27),
    inference(rew,[status(thm),theory(equality)],[1593,2332]),
    [iquote('0:Rew:1593.0,2332.0')] ).

cnf(2373,plain,
    equal(rselect_head(queue_305),index_300),
    inference(rew,[status(thm),theory(equality)],[1591,2335]),
    [iquote('0:Rew:1591.0,2335.0')] ).

cnf(2374,plain,
    equal(rselect_head(queue_284),index_279),
    inference(rew,[status(thm),theory(equality)],[1592,2338]),
    [iquote('0:Rew:1592.0,2338.0')] ).

cnf(2375,plain,
    equal(rselect_head(queue_263),index_258),
    inference(rew,[status(thm),theory(equality)],[1594,2341]),
    [iquote('0:Rew:1594.0,2341.0')] ).

cnf(2376,plain,
    equal(rselect_head(queue_242),index_231),
    inference(rew,[status(thm),theory(equality)],[1595,2344]),
    [iquote('0:Rew:1595.0,2344.0')] ).

cnf(2377,plain,
    equal(rselect_head(queue_236),index_159),
    inference(rew,[status(thm),theory(equality)],[1599,2345]),
    [iquote('0:Rew:1599.0,2345.0')] ).

cnf(2378,plain,
    equal(rselect_head(queue_215),index_210),
    inference(rew,[status(thm),theory(equality)],[1596,2349]),
    [iquote('0:Rew:1596.0,2349.0')] ).

cnf(2379,plain,
    equal(rselect_head(queue_194),index_189),
    inference(rew,[status(thm),theory(equality)],[1597,2352]),
    [iquote('0:Rew:1597.0,2352.0')] ).

cnf(2380,plain,
    equal(rselect_head(queue_173),index_168),
    inference(rew,[status(thm),theory(equality)],[1598,2355]),
    [iquote('0:Rew:1598.0,2355.0')] ).

cnf(2381,plain,
    equal(rselect_head(queue_143),index_138),
    inference(rew,[status(thm),theory(equality)],[1600,2360]),
    [iquote('0:Rew:1600.0,2360.0')] ).

cnf(2382,plain,
    equal(rselect_head(queue_122),index_117),
    inference(rew,[status(thm),theory(equality)],[1601,2363]),
    [iquote('0:Rew:1601.0,2363.0')] ).

cnf(2383,plain,
    equal(rselect_head(queue_11),index_348),
    inference(rew,[status(thm),theory(equality)],[1589,2365]),
    [iquote('0:Rew:1589.0,2365.0')] ).

cnf(2384,plain,
    equal(rselect_head(queue_101),index_96),
    inference(rew,[status(thm),theory(equality)],[1586,2367]),
    [iquote('0:Rew:1586.0,2367.0')] ).

cnf(2386,plain,
    equal(rselect_head(queue_317),rselect_head(q50)),
    inference(spr,[status(thm),theory(equality)],[514,8]),
    [iquote('0:SpR:514.0,8.0')] ).

cnf(2387,plain,
    equal(rselect_head(queue_86),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[1141,8]),
    [iquote('0:SpR:1141.0,8.0')] ).

cnf(2388,plain,
    equal(rselect_head(queue_80),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[1146,8]),
    [iquote('0:SpR:1146.0,8.0')] ).

cnf(2389,plain,
    equal(rselect_head(queue_74),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[1151,8]),
    [iquote('0:SpR:1151.0,8.0')] ).

cnf(2390,plain,
    equal(rselect_head(queue_5),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[1156,8]),
    [iquote('0:SpR:1156.0,8.0')] ).

cnf(2391,plain,
    equal(rselect_head(queue_59),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[1161,8]),
    [iquote('0:SpR:1161.0,8.0')] ).

cnf(2392,plain,
    equal(rselect_head(queue_53),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[1166,8]),
    [iquote('0:SpR:1166.0,8.0')] ).

cnf(2393,plain,
    equal(rselect_head(queue_38),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[1171,8]),
    [iquote('0:SpR:1171.0,8.0')] ).

cnf(2394,plain,
    equal(rselect_head(queue_338),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[1176,8]),
    [iquote('0:SpR:1176.0,8.0')] ).

cnf(2395,plain,
    equal(rselect_head(queue_32),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[1181,8]),
    [iquote('0:SpR:1181.0,8.0')] ).

cnf(2396,plain,
    equal(rselect_head(queue_332),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[1186,8]),
    [iquote('0:SpR:1186.0,8.0')] ).

cnf(2397,plain,
    equal(rselect_head(queue_311),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[1191,8]),
    [iquote('0:SpR:1191.0,8.0')] ).

cnf(2398,plain,
    equal(rselect_head(queue_305),rselect_head(q49)),
    inference(spr,[status(thm),theory(equality)],[1196,8]),
    [iquote('0:SpR:1196.0,8.0')] ).

cnf(2399,plain,
    equal(rselect_head(queue_290),rselect_head(q47)),
    inference(spr,[status(thm),theory(equality)],[1201,8]),
    [iquote('0:SpR:1201.0,8.0')] ).

cnf(2400,plain,
    equal(rselect_head(queue_284),rselect_head(q46)),
    inference(spr,[status(thm),theory(equality)],[1206,8]),
    [iquote('0:SpR:1206.0,8.0')] ).

cnf(2401,plain,
    equal(rselect_head(queue_269),rselect_head(q44)),
    inference(spr,[status(thm),theory(equality)],[1211,8]),
    [iquote('0:SpR:1211.0,8.0')] ).

cnf(2402,plain,
    equal(rselect_head(queue_263),rselect_head(q43)),
    inference(spr,[status(thm),theory(equality)],[1216,8]),
    [iquote('0:SpR:1216.0,8.0')] ).

cnf(2403,plain,
    equal(rselect_head(queue_248),rselect_head(q41)),
    inference(spr,[status(thm),theory(equality)],[1221,8]),
    [iquote('0:SpR:1221.0,8.0')] ).

cnf(2404,plain,
    equal(rselect_head(queue_242),rselect_head(q40)),
    inference(spr,[status(thm),theory(equality)],[1226,8]),
    [iquote('0:SpR:1226.0,8.0')] ).

cnf(2405,plain,
    equal(rselect_head(queue_236),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[1231,8]),
    [iquote('0:SpR:1231.0,8.0')] ).

cnf(2406,plain,
    equal(rselect_head(queue_221),rselect_head(q38)),
    inference(spr,[status(thm),theory(equality)],[1236,8]),
    [iquote('0:SpR:1236.0,8.0')] ).

cnf(2407,plain,
    equal(rselect_head(queue_215),rselect_head(q37)),
    inference(spr,[status(thm),theory(equality)],[1241,8]),
    [iquote('0:SpR:1241.0,8.0')] ).

cnf(2408,plain,
    equal(rselect_head(queue_200),rselect_head(q35)),
    inference(spr,[status(thm),theory(equality)],[1246,8]),
    [iquote('0:SpR:1246.0,8.0')] ).

cnf(2409,plain,
    equal(rselect_head(queue_194),rselect_head(q34)),
    inference(spr,[status(thm),theory(equality)],[1251,8]),
    [iquote('0:SpR:1251.0,8.0')] ).

cnf(2410,plain,
    equal(rselect_head(queue_17),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[1256,8]),
    [iquote('0:SpR:1256.0,8.0')] ).

cnf(2411,plain,
    equal(rselect_head(queue_179),rselect_head(q32)),
    inference(spr,[status(thm),theory(equality)],[1261,8]),
    [iquote('0:SpR:1261.0,8.0')] ).

cnf(2412,plain,
    equal(rselect_head(queue_173),rselect_head(q31)),
    inference(spr,[status(thm),theory(equality)],[1266,8]),
    [iquote('0:SpR:1266.0,8.0')] ).

cnf(2413,plain,
    equal(rselect_head(queue_149),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[1271,8]),
    [iquote('0:SpR:1271.0,8.0')] ).

cnf(2414,plain,
    equal(rselect_head(queue_143),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[1276,8]),
    [iquote('0:SpR:1276.0,8.0')] ).

cnf(2415,plain,
    equal(rselect_head(queue_128),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[1281,8]),
    [iquote('0:SpR:1281.0,8.0')] ).

cnf(2416,plain,
    equal(rselect_head(queue_11),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[1286,8]),
    [iquote('0:SpR:1286.0,8.0')] ).

cnf(2417,plain,
    equal(rselect_head(queue_122),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[1291,8]),
    [iquote('0:SpR:1291.0,8.0')] ).

cnf(2418,plain,
    equal(rselect_head(queue_107),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[1296,8]),
    [iquote('0:SpR:1296.0,8.0')] ).

cnf(2419,plain,
    equal(rselect_head(queue_101),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[1301,8]),
    [iquote('0:SpR:1301.0,8.0')] ).

cnf(2420,plain,
    equal(rselect_head(queue_92),rselect_head(queue_94)),
    inference(spr,[status(thm),theory(equality)],[1785,8]),
    [iquote('0:SpR:1785.0,8.0')] ).

cnf(2421,plain,
    equal(rselect_head(queue_65),rselect_head(queue_67)),
    inference(spr,[status(thm),theory(equality)],[1795,8]),
    [iquote('0:SpR:1795.0,8.0')] ).

cnf(2422,plain,
    equal(rselect_head(queue_44),rselect_head(queue_46)),
    inference(spr,[status(thm),theory(equality)],[1805,8]),
    [iquote('0:SpR:1805.0,8.0')] ).

cnf(2423,plain,
    equal(rselect_head(queue_344),rselect_head(queue_346)),
    inference(spr,[status(thm),theory(equality)],[1815,8]),
    [iquote('0:SpR:1815.0,8.0')] ).

cnf(2424,plain,
    equal(rselect_head(queue_323),rselect_head(queue_325)),
    inference(spr,[status(thm),theory(equality)],[1825,8]),
    [iquote('0:SpR:1825.0,8.0')] ).

cnf(2425,plain,
    equal(rselect_head(queue_296),rselect_head(queue_298)),
    inference(spr,[status(thm),theory(equality)],[1835,8]),
    [iquote('0:SpR:1835.0,8.0')] ).

cnf(2426,plain,
    equal(rselect_head(queue_275),rselect_head(queue_277)),
    inference(spr,[status(thm),theory(equality)],[1845,8]),
    [iquote('0:SpR:1845.0,8.0')] ).

cnf(2427,plain,
    equal(rselect_head(queue_23),rselect_head(queue_25)),
    inference(spr,[status(thm),theory(equality)],[1855,8]),
    [iquote('0:SpR:1855.0,8.0')] ).

cnf(2428,plain,
    equal(rselect_head(queue_254),rselect_head(queue_256)),
    inference(spr,[status(thm),theory(equality)],[1865,8]),
    [iquote('0:SpR:1865.0,8.0')] ).

cnf(2429,plain,
    equal(rselect_head(queue_227),rselect_head(queue_229)),
    inference(spr,[status(thm),theory(equality)],[1875,8]),
    [iquote('0:SpR:1875.0,8.0')] ).

cnf(2430,plain,
    equal(rselect_head(queue_206),rselect_head(queue_208)),
    inference(spr,[status(thm),theory(equality)],[1885,8]),
    [iquote('0:SpR:1885.0,8.0')] ).

cnf(2431,plain,
    equal(rselect_head(queue_185),rselect_head(queue_187)),
    inference(spr,[status(thm),theory(equality)],[1895,8]),
    [iquote('0:SpR:1895.0,8.0')] ).

cnf(2432,plain,
    equal(rselect_head(queue_164),rselect_head(queue_166)),
    inference(spr,[status(thm),theory(equality)],[1905,8]),
    [iquote('0:SpR:1905.0,8.0')] ).

cnf(2433,plain,
    equal(rselect_head(queue_155),rselect_head(queue_157)),
    inference(spr,[status(thm),theory(equality)],[1915,8]),
    [iquote('0:SpR:1915.0,8.0')] ).

cnf(2434,plain,
    equal(rselect_head(queue_134),rselect_head(queue_136)),
    inference(spr,[status(thm),theory(equality)],[1925,8]),
    [iquote('0:SpR:1925.0,8.0')] ).

cnf(2435,plain,
    equal(rselect_head(queue_113),rselect_head(queue_115)),
    inference(spr,[status(thm),theory(equality)],[1935,8]),
    [iquote('0:SpR:1935.0,8.0')] ).

cnf(2436,plain,
    equal(rselect_head(queue_317),index_351),
    inference(rew,[status(thm),theory(equality)],[302,2386]),
    [iquote('0:Rew:302.0,2386.0')] ).

cnf(2437,plain,
    equal(rselect_head(q49),index_351),
    inference(rew,[status(thm),theory(equality)],[2333,2436]),
    [iquote('0:Rew:2333.0,2436.0')] ).

cnf(2439,plain,
    equal(rselect_head(q20),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[2319,2387]),
    [iquote('0:Rew:2319.0,2387.0')] ).

cnf(2440,plain,
    equal(rselect_head(queue_92),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[2439,2318]),
    [iquote('0:Rew:2439.0,2318.0')] ).

cnf(2441,plain,
    equal(rselect_head(q1),rselect_head(q2)),
    inference(rew,[status(thm),theory(equality)],[2320,2388]),
    [iquote('0:Rew:2320.0,2388.0')] ).

cnf(2443,plain,
    equal(rselect_head(q19),index_69),
    inference(rew,[status(thm),theory(equality)],[2368,2389]),
    [iquote('0:Rew:2368.0,2389.0')] ).

cnf(2446,plain,
    equal(rselect_head(q2),index_3),
    inference(rew,[status(thm),theory(equality)],[2370,2390,2441]),
    [iquote('0:Rew:2370.0,2390.0,2441.0,2390.0')] ).

cnf(2447,plain,
    equal(rselect_head(queue_155),index_3),
    inference(rew,[status(thm),theory(equality)],[2446,2358]),
    [iquote('0:Rew:2446.0,2358.0')] ).

cnf(2449,plain,
    equal(rselect_head(q17),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[2323,2391]),
    [iquote('0:Rew:2323.0,2391.0')] ).

cnf(2450,plain,
    equal(rselect_head(queue_65),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[2449,2322]),
    [iquote('0:Rew:2449.0,2322.0')] ).

cnf(2451,plain,
    equal(rselect_head(q16),index_48),
    inference(rew,[status(thm),theory(equality)],[2369,2392]),
    [iquote('0:Rew:2369.0,2392.0')] ).

cnf(2454,plain,
    equal(rselect_head(q14),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[2327,2393]),
    [iquote('0:Rew:2327.0,2393.0')] ).

cnf(2455,plain,
    equal(rselect_head(queue_44),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[2454,2326]),
    [iquote('0:Rew:2454.0,2326.0')] ).

cnf(2456,plain,
    equal(rselect_head(q8),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[2329,2394]),
    [iquote('0:Rew:2329.0,2394.0')] ).

cnf(2457,plain,
    equal(rselect_head(queue_344),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[2456,2328]),
    [iquote('0:Rew:2456.0,2328.0')] ).

cnf(2458,plain,
    equal(rselect_head(q13),index_27),
    inference(rew,[status(thm),theory(equality)],[2372,2395]),
    [iquote('0:Rew:2372.0,2395.0')] ).

cnf(2461,plain,
    equal(rselect_head(q7),index_327),
    inference(rew,[status(thm),theory(equality)],[2371,2396]),
    [iquote('0:Rew:2371.0,2396.0')] ).

cnf(2464,plain,
    equal(rselect_head(q5),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[2334,2397]),
    [iquote('0:Rew:2334.0,2397.0')] ).

cnf(2465,plain,
    equal(rselect_head(queue_323),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[2464,2331]),
    [iquote('0:Rew:2464.0,2331.0')] ).

cnf(2466,plain,
    equal(index_300,index_351),
    inference(rew,[status(thm),theory(equality)],[2373,2398,2437]),
    [iquote('0:Rew:2373.0,2398.0,2437.0,2398.0')] ).

cnf(2467,plain,
    equal(s(index_299),index_351),
    inference(rew,[status(thm),theory(equality)],[2466,282]),
    [iquote('0:Rew:2466.0,282.0')] ).

cnf(2468,plain,
    equal(rstore_head(queue_298,index_351),q48),
    inference(rew,[status(thm),theory(equality)],[2466,517]),
    [iquote('0:Rew:2466.0,517.0')] ).

cnf(2474,plain,
    equal(rselect_head(q47),rselect_head(q46)),
    inference(rew,[status(thm),theory(equality)],[2337,2399]),
    [iquote('0:Rew:2337.0,2399.0')] ).

cnf(2475,plain,
    equal(rselect_head(queue_296),rselect_head(q46)),
    inference(rew,[status(thm),theory(equality)],[2474,2336]),
    [iquote('0:Rew:2474.0,2336.0')] ).

cnf(2476,plain,
    equal(rselect_head(q46),index_279),
    inference(rew,[status(thm),theory(equality)],[2374,2400]),
    [iquote('0:Rew:2374.0,2400.0')] ).

cnf(2479,plain,
    equal(rselect_head(q44),rselect_head(q43)),
    inference(rew,[status(thm),theory(equality)],[2340,2401]),
    [iquote('0:Rew:2340.0,2401.0')] ).

cnf(2480,plain,
    equal(rselect_head(queue_275),rselect_head(q43)),
    inference(rew,[status(thm),theory(equality)],[2479,2339]),
    [iquote('0:Rew:2479.0,2339.0')] ).

cnf(2481,plain,
    equal(rselect_head(q43),index_258),
    inference(rew,[status(thm),theory(equality)],[2375,2402]),
    [iquote('0:Rew:2375.0,2402.0')] ).

cnf(2484,plain,
    equal(rselect_head(q41),rselect_head(q40)),
    inference(rew,[status(thm),theory(equality)],[2343,2403]),
    [iquote('0:Rew:2343.0,2403.0')] ).

cnf(2485,plain,
    equal(rselect_head(queue_254),rselect_head(q40)),
    inference(rew,[status(thm),theory(equality)],[2484,2342]),
    [iquote('0:Rew:2484.0,2342.0')] ).

cnf(2486,plain,
    equal(rselect_head(q40),index_231),
    inference(rew,[status(thm),theory(equality)],[2376,2404]),
    [iquote('0:Rew:2376.0,2404.0')] ).

cnf(2489,plain,
    equal(rselect_head(q4),index_159),
    inference(rew,[status(thm),theory(equality)],[2377,2405]),
    [iquote('0:Rew:2377.0,2405.0')] ).

cnf(2492,plain,
    equal(rselect_head(q38),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[2348,2406]),
    [iquote('0:Rew:2348.0,2406.0')] ).

cnf(2493,plain,
    equal(rselect_head(queue_227),rselect_head(q37)),
    inference(rew,[status(thm),theory(equality)],[2492,2347]),
    [iquote('0:Rew:2492.0,2347.0')] ).

cnf(2494,plain,
    equal(rselect_head(q37),index_210),
    inference(rew,[status(thm),theory(equality)],[2378,2407]),
    [iquote('0:Rew:2378.0,2407.0')] ).

cnf(2497,plain,
    equal(rselect_head(q35),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[2351,2408]),
    [iquote('0:Rew:2351.0,2408.0')] ).

cnf(2498,plain,
    equal(rselect_head(queue_206),rselect_head(q34)),
    inference(rew,[status(thm),theory(equality)],[2497,2350]),
    [iquote('0:Rew:2497.0,2350.0')] ).

cnf(2499,plain,
    equal(rselect_head(q34),index_189),
    inference(rew,[status(thm),theory(equality)],[2379,2409]),
    [iquote('0:Rew:2379.0,2409.0')] ).

cnf(2502,plain,
    equal(rselect_head(q11),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2356,2410]),
    [iquote('0:Rew:2356.0,2410.0')] ).

cnf(2503,plain,
    equal(rselect_head(queue_23),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[2502,2346]),
    [iquote('0:Rew:2502.0,2346.0')] ).

cnf(2504,plain,
    equal(rselect_head(q32),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[2354,2411]),
    [iquote('0:Rew:2354.0,2411.0')] ).

cnf(2505,plain,
    equal(rselect_head(queue_185),rselect_head(q31)),
    inference(rew,[status(thm),theory(equality)],[2504,2353]),
    [iquote('0:Rew:2504.0,2353.0')] ).

cnf(2506,plain,
    equal(rselect_head(q31),index_168),
    inference(rew,[status(thm),theory(equality)],[2380,2412]),
    [iquote('0:Rew:2380.0,2412.0')] ).

cnf(2509,plain,
    equal(rselect_head(q29),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[2359,2413]),
    [iquote('0:Rew:2359.0,2413.0')] ).

cnf(2510,plain,
    equal(rselect_head(queue_164),rselect_head(q28)),
    inference(rew,[status(thm),theory(equality)],[2509,2357]),
    [iquote('0:Rew:2509.0,2357.0')] ).

cnf(2511,plain,
    equal(rselect_head(q28),index_138),
    inference(rew,[status(thm),theory(equality)],[2381,2414]),
    [iquote('0:Rew:2381.0,2414.0')] ).

cnf(2514,plain,
    equal(rselect_head(q26),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[2362,2415]),
    [iquote('0:Rew:2362.0,2415.0')] ).

cnf(2515,plain,
    equal(rselect_head(queue_134),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[2514,2361]),
    [iquote('0:Rew:2514.0,2361.0')] ).

cnf(2516,plain,
    equal(rselect_head(q10),index_348),
    inference(rew,[status(thm),theory(equality)],[2383,2416]),
    [iquote('0:Rew:2383.0,2416.0')] ).

cnf(2519,plain,
    equal(rselect_head(q25),index_117),
    inference(rew,[status(thm),theory(equality)],[2382,2417]),
    [iquote('0:Rew:2382.0,2417.0')] ).

cnf(2522,plain,
    equal(rselect_head(q23),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[2366,2418]),
    [iquote('0:Rew:2366.0,2418.0')] ).

cnf(2523,plain,
    equal(rselect_head(queue_113),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[2522,2364]),
    [iquote('0:Rew:2522.0,2364.0')] ).

cnf(2524,plain,
    equal(rselect_head(q22),index_96),
    inference(rew,[status(thm),theory(equality)],[2384,2419]),
    [iquote('0:Rew:2384.0,2419.0')] ).

cnf(2527,plain,
    equal(rselect_head(queue_92),index_95),
    inference(rew,[status(thm),theory(equality)],[327,2420]),
    [iquote('0:Rew:327.0,2420.0')] ).

cnf(2528,plain,
    equal(rselect_head(queue_65),index_68),
    inference(rew,[status(thm),theory(equality)],[316,2421]),
    [iquote('0:Rew:316.0,2421.0')] ).

cnf(2529,plain,
    equal(rselect_head(queue_44),index_47),
    inference(rew,[status(thm),theory(equality)],[307,2422]),
    [iquote('0:Rew:307.0,2422.0')] ).

cnf(2530,plain,
    equal(rselect_head(queue_344),index_347),
    inference(rew,[status(thm),theory(equality)],[300,2423]),
    [iquote('0:Rew:300.0,2423.0')] ).

cnf(2531,plain,
    equal(rselect_head(queue_323),index_326),
    inference(rew,[status(thm),theory(equality)],[291,2424]),
    [iquote('0:Rew:291.0,2424.0')] ).

cnf(2532,plain,
    equal(rselect_head(queue_296),index_299),
    inference(rew,[status(thm),theory(equality)],[279,2425]),
    [iquote('0:Rew:279.0,2425.0')] ).

cnf(2533,plain,
    equal(rselect_head(queue_275),index_278),
    inference(rew,[status(thm),theory(equality)],[271,2426]),
    [iquote('0:Rew:271.0,2426.0')] ).

cnf(2534,plain,
    equal(rselect_head(queue_23),index_26),
    inference(rew,[status(thm),theory(equality)],[263,2427]),
    [iquote('0:Rew:263.0,2427.0')] ).

cnf(2535,plain,
    equal(rselect_head(queue_254),index_257),
    inference(rew,[status(thm),theory(equality)],[261,2428]),
    [iquote('0:Rew:261.0,2428.0')] ).

cnf(2536,plain,
    equal(rselect_head(queue_227),index_230),
    inference(rew,[status(thm),theory(equality)],[250,2429]),
    [iquote('0:Rew:250.0,2429.0')] ).

cnf(2537,plain,
    equal(rselect_head(queue_206),index_209),
    inference(rew,[status(thm),theory(equality)],[241,2430]),
    [iquote('0:Rew:241.0,2430.0')] ).

cnf(2538,plain,
    equal(rselect_head(queue_185),index_188),
    inference(rew,[status(thm),theory(equality)],[233,2431]),
    [iquote('0:Rew:233.0,2431.0')] ).

cnf(2539,plain,
    equal(rselect_head(queue_164),index_167),
    inference(rew,[status(thm),theory(equality)],[224,2432]),
    [iquote('0:Rew:224.0,2432.0')] ).

cnf(2540,plain,
    equal(rselect_head(queue_155),index_158),
    inference(rew,[status(thm),theory(equality)],[220,2433]),
    [iquote('0:Rew:220.0,2433.0')] ).

cnf(2541,plain,
    equal(index_158,index_3),
    inference(rew,[status(thm),theory(equality)],[2447,2540]),
    [iquote('0:Rew:2447.0,2540.0')] ).

cnf(2542,plain,
    equal(s(index_3),index_159),
    inference(rew,[status(thm),theory(equality)],[2541,221]),
    [iquote('0:Rew:2541.0,221.0')] ).

cnf(2547,plain,
    equal(index_159,index_78),
    inference(rew,[status(thm),theory(equality)],[1155,2542]),
    [iquote('0:Rew:1155.0,2542.0')] ).

cnf(2551,plain,
    equal(rselect_head(q4),index_78),
    inference(rew,[status(thm),theory(equality)],[2547,2489]),
    [iquote('0:Rew:2547.0,2489.0')] ).

cnf(2555,plain,
    equal(rselect_head(queue_134),index_137),
    inference(rew,[status(thm),theory(equality)],[211,2434]),
    [iquote('0:Rew:211.0,2434.0')] ).

cnf(2556,plain,
    equal(rselect_head(queue_113),index_116),
    inference(rew,[status(thm),theory(equality)],[202,2435]),
    [iquote('0:Rew:202.0,2435.0')] ).

cnf(2557,plain,
    equal(index_95,index_69),
    inference(rew,[status(thm),theory(equality)],[2527,2440,2443]),
    [iquote('0:Rew:2527.0,2440.0,2443.0,2440.0')] ).

cnf(2558,plain,
    equal(s(index_69),index_96),
    inference(rew,[status(thm),theory(equality)],[2557,328]),
    [iquote('0:Rew:2557.0,328.0')] ).

cnf(2567,plain,
    equal(index_68,index_48),
    inference(rew,[status(thm),theory(equality)],[2528,2450,2451]),
    [iquote('0:Rew:2528.0,2450.0,2451.0,2450.0')] ).

cnf(2568,plain,
    equal(s(index_48),index_69),
    inference(rew,[status(thm),theory(equality)],[2567,317]),
    [iquote('0:Rew:2567.0,317.0')] ).

cnf(2575,plain,
    equal(index_47,index_27),
    inference(rew,[status(thm),theory(equality)],[2529,2455,2458]),
    [iquote('0:Rew:2529.0,2455.0,2458.0,2455.0')] ).

cnf(2576,plain,
    equal(s(index_27),index_48),
    inference(rew,[status(thm),theory(equality)],[2575,308]),
    [iquote('0:Rew:2575.0,308.0')] ).

cnf(2583,plain,
    equal(index_347,index_327),
    inference(rew,[status(thm),theory(equality)],[2530,2457,2461]),
    [iquote('0:Rew:2530.0,2457.0,2461.0,2457.0')] ).

cnf(2584,plain,
    equal(s(index_327),index_348),
    inference(rew,[status(thm),theory(equality)],[2583,301]),
    [iquote('0:Rew:2583.0,301.0')] ).

cnf(2592,plain,
    equal(index_326,index_78),
    inference(rew,[status(thm),theory(equality)],[2531,2465,2551]),
    [iquote('0:Rew:2531.0,2465.0,2551.0,2465.0')] ).

cnf(2593,plain,
    equal(s(index_78),index_327),
    inference(rew,[status(thm),theory(equality)],[2592,292]),
    [iquote('0:Rew:2592.0,292.0')] ).

cnf(2598,plain,
    equal(index_327,index_153),
    inference(rew,[status(thm),theory(equality)],[1145,2593]),
    [iquote('0:Rew:1145.0,2593.0')] ).

cnf(2606,plain,
    equal(s(index_153),index_348),
    inference(rew,[status(thm),theory(equality)],[2598,2584]),
    [iquote('0:Rew:2598.0,2584.0')] ).

cnf(2611,plain,
    equal(index_348,index_234),
    inference(rew,[status(thm),theory(equality)],[1914,2606]),
    [iquote('0:Rew:1914.0,2606.0')] ).

cnf(2615,plain,
    equal(rselect_head(q10),index_234),
    inference(rew,[status(thm),theory(equality)],[2611,2516]),
    [iquote('0:Rew:2611.0,2516.0')] ).

cnf(2620,plain,
    equal(index_299,index_279),
    inference(rew,[status(thm),theory(equality)],[2532,2475,2476]),
    [iquote('0:Rew:2532.0,2475.0,2476.0,2475.0')] ).

cnf(2622,plain,
    equal(s(index_279),index_351),
    inference(rew,[status(thm),theory(equality)],[2620,2467]),
    [iquote('0:Rew:2620.0,2467.0')] ).

cnf(2628,plain,
    equal(index_278,index_258),
    inference(rew,[status(thm),theory(equality)],[2533,2480,2481]),
    [iquote('0:Rew:2533.0,2480.0,2481.0,2480.0')] ).

cnf(2629,plain,
    equal(s(index_258),index_279),
    inference(rew,[status(thm),theory(equality)],[2628,272]),
    [iquote('0:Rew:2628.0,272.0')] ).

cnf(2636,plain,
    equal(index_257,index_231),
    inference(rew,[status(thm),theory(equality)],[2535,2485,2486]),
    [iquote('0:Rew:2535.0,2485.0,2486.0,2485.0')] ).

cnf(2637,plain,
    equal(s(index_231),index_258),
    inference(rew,[status(thm),theory(equality)],[2636,262]),
    [iquote('0:Rew:2636.0,262.0')] ).

cnf(2644,plain,
    equal(index_230,index_210),
    inference(rew,[status(thm),theory(equality)],[2536,2493,2494]),
    [iquote('0:Rew:2536.0,2493.0,2494.0,2493.0')] ).

cnf(2645,plain,
    equal(s(index_210),index_231),
    inference(rew,[status(thm),theory(equality)],[2644,251]),
    [iquote('0:Rew:2644.0,251.0')] ).

cnf(2652,plain,
    equal(index_209,index_189),
    inference(rew,[status(thm),theory(equality)],[2537,2498,2499]),
    [iquote('0:Rew:2537.0,2498.0,2499.0,2498.0')] ).

cnf(2653,plain,
    equal(s(index_189),index_210),
    inference(rew,[status(thm),theory(equality)],[2652,243]),
    [iquote('0:Rew:2652.0,243.0')] ).

cnf(2660,plain,
    equal(index_26,index_234),
    inference(rew,[status(thm),theory(equality)],[2534,2503,2615]),
    [iquote('0:Rew:2534.0,2503.0,2615.0,2503.0')] ).

cnf(2661,plain,
    equal(s(index_234),index_27),
    inference(rew,[status(thm),theory(equality)],[2660,267]),
    [iquote('0:Rew:2660.0,267.0')] ).

cnf(2666,plain,
    equal(index_27,index_309),
    inference(rew,[status(thm),theory(equality)],[1230,2661]),
    [iquote('0:Rew:1230.0,2661.0')] ).

cnf(2674,plain,
    equal(s(index_309),index_48),
    inference(rew,[status(thm),theory(equality)],[2666,2576]),
    [iquote('0:Rew:2666.0,2576.0')] ).

cnf(2680,plain,
    equal(index_48,index_321),
    inference(rew,[status(thm),theory(equality)],[1190,2674]),
    [iquote('0:Rew:1190.0,2674.0')] ).

cnf(2688,plain,
    equal(s(index_321),index_69),
    inference(rew,[status(thm),theory(equality)],[2680,2568]),
    [iquote('0:Rew:2680.0,2568.0')] ).

cnf(2695,plain,
    equal(index_69,index_330),
    inference(rew,[status(thm),theory(equality)],[1824,2688]),
    [iquote('0:Rew:1824.0,2688.0')] ).

cnf(2696,plain,
    equal(rstore_head(queue_67,index_330),q18),
    inference(rew,[status(thm),theory(equality)],[2695,503]),
    [iquote('0:Rew:2695.0,503.0')] ).

cnf(2703,plain,
    equal(s(index_330),index_96),
    inference(rew,[status(thm),theory(equality)],[2695,2558]),
    [iquote('0:Rew:2695.0,2558.0')] ).

cnf(2709,plain,
    equal(index_96,index_336),
    inference(rew,[status(thm),theory(equality)],[1185,2703]),
    [iquote('0:Rew:1185.0,2703.0')] ).

cnf(2710,plain,
    equal(rstore_head(queue_94,index_336),q21),
    inference(rew,[status(thm),theory(equality)],[2709,499]),
    [iquote('0:Rew:2709.0,499.0')] ).

cnf(2713,plain,
    equal(rselect_head(q22),index_336),
    inference(rew,[status(thm),theory(equality)],[2709,2524]),
    [iquote('0:Rew:2709.0,2524.0')] ).

cnf(2718,plain,
    equal(index_188,index_168),
    inference(rew,[status(thm),theory(equality)],[2538,2505,2506]),
    [iquote('0:Rew:2538.0,2505.0,2506.0,2505.0')] ).

cnf(2719,plain,
    equal(s(index_168),index_189),
    inference(rew,[status(thm),theory(equality)],[2718,234]),
    [iquote('0:Rew:2718.0,234.0')] ).

cnf(2726,plain,
    equal(index_167,index_138),
    inference(rew,[status(thm),theory(equality)],[2539,2510,2511]),
    [iquote('0:Rew:2539.0,2510.0,2511.0,2510.0')] ).

cnf(2727,plain,
    equal(s(index_138),index_168),
    inference(rew,[status(thm),theory(equality)],[2726,225]),
    [iquote('0:Rew:2726.0,225.0')] ).

cnf(2734,plain,
    equal(index_137,index_117),
    inference(rew,[status(thm),theory(equality)],[2555,2515,2519]),
    [iquote('0:Rew:2555.0,2515.0,2519.0,2515.0')] ).

cnf(2735,plain,
    equal(s(index_117),index_138),
    inference(rew,[status(thm),theory(equality)],[2734,212]),
    [iquote('0:Rew:2734.0,212.0')] ).

cnf(2742,plain,
    equal(index_116,index_336),
    inference(rew,[status(thm),theory(equality)],[2556,2523,2713]),
    [iquote('0:Rew:2556.0,2523.0,2713.0,2523.0')] ).

cnf(2743,plain,
    equal(s(index_336),index_117),
    inference(rew,[status(thm),theory(equality)],[2742,203]),
    [iquote('0:Rew:2742.0,203.0')] ).

cnf(2748,plain,
    equal(index_117,index_342),
    inference(rew,[status(thm),theory(equality)],[1175,2743]),
    [iquote('0:Rew:1175.0,2743.0')] ).

cnf(2749,plain,
    equal(rstore_head(queue_115,index_342),q24),
    inference(rew,[status(thm),theory(equality)],[2748,546]),
    [iquote('0:Rew:2748.0,546.0')] ).

cnf(2756,plain,
    equal(s(index_342),index_138),
    inference(rew,[status(thm),theory(equality)],[2748,2735]),
    [iquote('0:Rew:2748.0,2735.0')] ).

cnf(2762,plain,
    equal(index_138,index_9),
    inference(rew,[status(thm),theory(equality)],[1814,2756]),
    [iquote('0:Rew:1814.0,2756.0')] ).

cnf(2763,plain,
    equal(rstore_head(queue_136,index_9),q27),
    inference(rew,[status(thm),theory(equality)],[2762,542]),
    [iquote('0:Rew:2762.0,542.0')] ).

cnf(2770,plain,
    equal(s(index_9),index_168),
    inference(rew,[status(thm),theory(equality)],[2762,2727]),
    [iquote('0:Rew:2762.0,2727.0')] ).

cnf(2777,plain,
    equal(index_168,index_15),
    inference(rew,[status(thm),theory(equality)],[1285,2770]),
    [iquote('0:Rew:1285.0,2770.0')] ).

cnf(2778,plain,
    equal(rstore_head(queue_166,index_15),q30),
    inference(rew,[status(thm),theory(equality)],[2777,538]),
    [iquote('0:Rew:2777.0,538.0')] ).

cnf(2785,plain,
    equal(s(index_15),index_189),
    inference(rew,[status(thm),theory(equality)],[2777,2719]),
    [iquote('0:Rew:2777.0,2719.0')] ).

cnf(2792,plain,
    equal(index_189,index_21),
    inference(rew,[status(thm),theory(equality)],[1255,2785]),
    [iquote('0:Rew:1255.0,2785.0')] ).

cnf(2793,plain,
    equal(rstore_head(queue_187,index_21),q33),
    inference(rew,[status(thm),theory(equality)],[2792,534]),
    [iquote('0:Rew:2792.0,534.0')] ).

cnf(2800,plain,
    equal(s(index_21),index_210),
    inference(rew,[status(thm),theory(equality)],[2792,2653]),
    [iquote('0:Rew:2792.0,2653.0')] ).

cnf(2807,plain,
    equal(index_210,index_30),
    inference(rew,[status(thm),theory(equality)],[1854,2800]),
    [iquote('0:Rew:1854.0,2800.0')] ).

cnf(2808,plain,
    equal(rstore_head(queue_208,index_30),q36),
    inference(rew,[status(thm),theory(equality)],[2807,531]),
    [iquote('0:Rew:2807.0,531.0')] ).

cnf(2815,plain,
    equal(s(index_30),index_231),
    inference(rew,[status(thm),theory(equality)],[2807,2645]),
    [iquote('0:Rew:2807.0,2645.0')] ).

cnf(2822,plain,
    equal(index_231,index_36),
    inference(rew,[status(thm),theory(equality)],[1180,2815]),
    [iquote('0:Rew:1180.0,2815.0')] ).

cnf(2823,plain,
    equal(rstore_head(queue_229,index_36),q39),
    inference(rew,[status(thm),theory(equality)],[2822,528]),
    [iquote('0:Rew:2822.0,528.0')] ).

cnf(2830,plain,
    equal(s(index_36),index_258),
    inference(rew,[status(thm),theory(equality)],[2822,2637]),
    [iquote('0:Rew:2822.0,2637.0')] ).

cnf(2837,plain,
    equal(index_258,index_42),
    inference(rew,[status(thm),theory(equality)],[1170,2830]),
    [iquote('0:Rew:1170.0,2830.0')] ).

cnf(2838,plain,
    equal(rstore_head(queue_256,index_42),q42),
    inference(rew,[status(thm),theory(equality)],[2837,524]),
    [iquote('0:Rew:2837.0,524.0')] ).

cnf(2845,plain,
    equal(s(index_42),index_279),
    inference(rew,[status(thm),theory(equality)],[2837,2629]),
    [iquote('0:Rew:2837.0,2629.0')] ).

cnf(2852,plain,
    equal(index_279,index_51),
    inference(rew,[status(thm),theory(equality)],[1804,2845]),
    [iquote('0:Rew:1804.0,2845.0')] ).

cnf(2853,plain,
    equal(rstore_head(queue_277,index_51),q45),
    inference(rew,[status(thm),theory(equality)],[2852,520]),
    [iquote('0:Rew:2852.0,520.0')] ).

cnf(2861,plain,
    equal(s(index_51),index_351),
    inference(rew,[status(thm),theory(equality)],[2852,2622]),
    [iquote('0:Rew:2852.0,2622.0')] ).

cnf(2866,plain,
    equal(index_351,index_57),
    inference(rew,[status(thm),theory(equality)],[1165,2861]),
    [iquote('0:Rew:1165.0,2861.0')] ).

cnf(2868,plain,
    equal(select(earray_350,index_57),elem_352),
    inference(rew,[status(thm),theory(equality)],[2866,195]),
    [iquote('0:Rew:2866.0,195.0')] ).

cnf(2874,plain,
    equal(rstore_head(queue_298,index_57),q48),
    inference(rew,[status(thm),theory(equality)],[2866,2468]),
    [iquote('0:Rew:2866.0,2468.0')] ).

cnf(3134,plain,
    equal(rselect_seq(queue_317),rselect_seq(q50)),
    inference(spr,[status(thm),theory(equality)],[514,7]),
    [iquote('0:SpR:514.0,7.0')] ).

cnf(3135,plain,
    equal(rselect_seq(queue_86),rselect_seq(q20)),
    inference(spr,[status(thm),theory(equality)],[1141,7]),
    [iquote('0:SpR:1141.0,7.0')] ).

cnf(3137,plain,
    equal(rselect_seq(queue_74),rselect_seq(q19)),
    inference(spr,[status(thm),theory(equality)],[1151,7]),
    [iquote('0:SpR:1151.0,7.0')] ).

cnf(3139,plain,
    equal(rselect_seq(queue_59),rselect_seq(q17)),
    inference(spr,[status(thm),theory(equality)],[1161,7]),
    [iquote('0:SpR:1161.0,7.0')] ).

cnf(3140,plain,
    equal(rselect_seq(queue_53),rselect_seq(q16)),
    inference(spr,[status(thm),theory(equality)],[1166,7]),
    [iquote('0:SpR:1166.0,7.0')] ).

cnf(3146,plain,
    equal(rselect_seq(queue_305),rselect_seq(q49)),
    inference(spr,[status(thm),theory(equality)],[1196,7]),
    [iquote('0:SpR:1196.0,7.0')] ).

cnf(3147,plain,
    equal(rselect_seq(queue_290),rselect_seq(q47)),
    inference(spr,[status(thm),theory(equality)],[1201,7]),
    [iquote('0:SpR:1201.0,7.0')] ).

cnf(3148,plain,
    equal(rselect_seq(queue_284),rselect_seq(q46)),
    inference(spr,[status(thm),theory(equality)],[1206,7]),
    [iquote('0:SpR:1206.0,7.0')] ).

cnf(3149,plain,
    equal(rselect_seq(queue_269),rselect_seq(q44)),
    inference(spr,[status(thm),theory(equality)],[1211,7]),
    [iquote('0:SpR:1211.0,7.0')] ).

cnf(3150,plain,
    equal(rselect_seq(queue_263),rselect_seq(q43)),
    inference(spr,[status(thm),theory(equality)],[1216,7]),
    [iquote('0:SpR:1216.0,7.0')] ).

cnf(3151,plain,
    equal(rselect_seq(queue_248),rselect_seq(q41)),
    inference(spr,[status(thm),theory(equality)],[1221,7]),
    [iquote('0:SpR:1221.0,7.0')] ).

cnf(3152,plain,
    equal(rselect_seq(queue_242),rselect_seq(q40)),
    inference(spr,[status(thm),theory(equality)],[1226,7]),
    [iquote('0:SpR:1226.0,7.0')] ).

cnf(3154,plain,
    equal(rselect_seq(queue_221),rselect_seq(q38)),
    inference(spr,[status(thm),theory(equality)],[1236,7]),
    [iquote('0:SpR:1236.0,7.0')] ).

cnf(3155,plain,
    equal(rselect_seq(queue_215),rselect_seq(q37)),
    inference(spr,[status(thm),theory(equality)],[1241,7]),
    [iquote('0:SpR:1241.0,7.0')] ).

cnf(3156,plain,
    equal(rselect_seq(queue_200),rselect_seq(q35)),
    inference(spr,[status(thm),theory(equality)],[1246,7]),
    [iquote('0:SpR:1246.0,7.0')] ).

cnf(3157,plain,
    equal(rselect_seq(queue_194),rselect_seq(q34)),
    inference(spr,[status(thm),theory(equality)],[1251,7]),
    [iquote('0:SpR:1251.0,7.0')] ).

cnf(3159,plain,
    equal(rselect_seq(queue_179),rselect_seq(q32)),
    inference(spr,[status(thm),theory(equality)],[1261,7]),
    [iquote('0:SpR:1261.0,7.0')] ).

cnf(3160,plain,
    equal(rselect_seq(queue_173),rselect_seq(q31)),
    inference(spr,[status(thm),theory(equality)],[1266,7]),
    [iquote('0:SpR:1266.0,7.0')] ).

cnf(3161,plain,
    equal(rselect_seq(queue_149),rselect_seq(q29)),
    inference(spr,[status(thm),theory(equality)],[1271,7]),
    [iquote('0:SpR:1271.0,7.0')] ).

cnf(3162,plain,
    equal(rselect_seq(queue_143),rselect_seq(q28)),
    inference(spr,[status(thm),theory(equality)],[1276,7]),
    [iquote('0:SpR:1276.0,7.0')] ).

cnf(3163,plain,
    equal(rselect_seq(queue_128),rselect_seq(q26)),
    inference(spr,[status(thm),theory(equality)],[1281,7]),
    [iquote('0:SpR:1281.0,7.0')] ).

cnf(3165,plain,
    equal(rselect_seq(queue_122),rselect_seq(q25)),
    inference(spr,[status(thm),theory(equality)],[1291,7]),
    [iquote('0:SpR:1291.0,7.0')] ).

cnf(3166,plain,
    equal(rselect_seq(queue_107),rselect_seq(q23)),
    inference(spr,[status(thm),theory(equality)],[1296,7]),
    [iquote('0:SpR:1296.0,7.0')] ).

cnf(3167,plain,
    equal(rselect_seq(queue_101),rselect_seq(q22)),
    inference(spr,[status(thm),theory(equality)],[1301,7]),
    [iquote('0:SpR:1301.0,7.0')] ).

cnf(3168,plain,
    equal(rselect_seq(queue_92),rselect_seq(queue_94)),
    inference(spr,[status(thm),theory(equality)],[1785,7]),
    [iquote('0:SpR:1785.0,7.0')] ).

cnf(3169,plain,
    equal(rselect_seq(queue_65),rselect_seq(queue_67)),
    inference(spr,[status(thm),theory(equality)],[1795,7]),
    [iquote('0:SpR:1795.0,7.0')] ).

cnf(3173,plain,
    equal(rselect_seq(queue_296),rselect_seq(queue_298)),
    inference(spr,[status(thm),theory(equality)],[1835,7]),
    [iquote('0:SpR:1835.0,7.0')] ).

cnf(3174,plain,
    equal(rselect_seq(queue_275),rselect_seq(queue_277)),
    inference(spr,[status(thm),theory(equality)],[1845,7]),
    [iquote('0:SpR:1845.0,7.0')] ).

cnf(3176,plain,
    equal(rselect_seq(queue_254),rselect_seq(queue_256)),
    inference(spr,[status(thm),theory(equality)],[1865,7]),
    [iquote('0:SpR:1865.0,7.0')] ).

cnf(3177,plain,
    equal(rselect_seq(queue_227),rselect_seq(queue_229)),
    inference(spr,[status(thm),theory(equality)],[1875,7]),
    [iquote('0:SpR:1875.0,7.0')] ).

cnf(3178,plain,
    equal(rselect_seq(queue_206),rselect_seq(queue_208)),
    inference(spr,[status(thm),theory(equality)],[1885,7]),
    [iquote('0:SpR:1885.0,7.0')] ).

cnf(3179,plain,
    equal(rselect_seq(queue_185),rselect_seq(queue_187)),
    inference(spr,[status(thm),theory(equality)],[1895,7]),
    [iquote('0:SpR:1895.0,7.0')] ).

cnf(3180,plain,
    equal(rselect_seq(queue_164),rselect_seq(queue_166)),
    inference(spr,[status(thm),theory(equality)],[1905,7]),
    [iquote('0:SpR:1905.0,7.0')] ).

cnf(3182,plain,
    equal(rselect_seq(queue_134),rselect_seq(queue_136)),
    inference(spr,[status(thm),theory(equality)],[1925,7]),
    [iquote('0:SpR:1925.0,7.0')] ).

cnf(3183,plain,
    equal(rselect_seq(queue_113),rselect_seq(queue_115)),
    inference(spr,[status(thm),theory(equality)],[1935,7]),
    [iquote('0:SpR:1935.0,7.0')] ).

cnf(3184,plain,
    equal(earray_350,earray_316),
    inference(rew,[status(thm),theory(equality)],[1623,3134,174]),
    [iquote('0:Rew:1623.0,3134.0,174.0,3134.0')] ).

cnf(3186,plain,
    equal(select(earray_316,index_57),elem_352),
    inference(rew,[status(thm),theory(equality)],[3184,2868]),
    [iquote('0:Rew:3184.0,2868.0')] ).

cnf(3187,plain,
    equal(earray_89,earray_85),
    inference(rew,[status(thm),theory(equality)],[1609,3135,192]),
    [iquote('0:Rew:1609.0,3135.0,192.0,3135.0')] ).

cnf(3189,plain,
    equal(store(earray_85,index_90,e20),earray_91),
    inference(rew,[status(thm),theory(equality)],[3187,193]),
    [iquote('0:Rew:3187.0,193.0')] ).

cnf(3194,plain,
    equal(earray_83,earray_73),
    inference(rew,[status(thm),theory(equality)],[1611,3137,190]),
    [iquote('0:Rew:1611.0,3137.0,190.0,3137.0')] ).

cnf(3196,plain,
    equal(store(earray_73,index_84,e19),earray_85),
    inference(rew,[status(thm),theory(equality)],[3194,191]),
    [iquote('0:Rew:3194.0,191.0')] ).

cnf(3199,plain,
    equal(earray_62,earray_58),
    inference(rew,[status(thm),theory(equality)],[1613,3139,183]),
    [iquote('0:Rew:1613.0,3139.0,183.0,3139.0')] ).

cnf(3201,plain,
    equal(store(earray_58,index_63,e17),earray_64),
    inference(rew,[status(thm),theory(equality)],[3199,184]),
    [iquote('0:Rew:3199.0,184.0')] ).

cnf(3202,plain,
    equal(earray_56,earray_52),
    inference(rew,[status(thm),theory(equality)],[1614,3140,181]),
    [iquote('0:Rew:1614.0,3140.0,181.0,3140.0')] ).

cnf(3204,plain,
    equal(store(earray_52,index_57,e16),earray_58),
    inference(rew,[status(thm),theory(equality)],[3202,182]),
    [iquote('0:Rew:3202.0,182.0')] ).

cnf(3220,plain,
    equal(earray_314,earray_304),
    inference(rew,[status(thm),theory(equality)],[1625,3146,163]),
    [iquote('0:Rew:1625.0,3146.0,163.0,3146.0')] ).

cnf(3222,plain,
    equal(store(earray_304,index_315,e49),earray_316),
    inference(rew,[status(thm),theory(equality)],[3220,164]),
    [iquote('0:Rew:3220.0,164.0')] ).

cnf(3223,plain,
    equal(earray_293,earray_289),
    inference(rew,[status(thm),theory(equality)],[1627,3147,156]),
    [iquote('0:Rew:1627.0,3147.0,156.0,3147.0')] ).

cnf(3225,plain,
    equal(store(earray_289,index_294,e47),earray_295),
    inference(rew,[status(thm),theory(equality)],[3223,157]),
    [iquote('0:Rew:3223.0,157.0')] ).

cnf(3226,plain,
    equal(earray_287,earray_283),
    inference(rew,[status(thm),theory(equality)],[1628,3148,153]),
    [iquote('0:Rew:1628.0,3148.0,153.0,3148.0')] ).

cnf(3228,plain,
    equal(store(earray_283,index_288,e46),earray_289),
    inference(rew,[status(thm),theory(equality)],[3226,154]),
    [iquote('0:Rew:3226.0,154.0')] ).

cnf(3229,plain,
    equal(earray_272,earray_268),
    inference(rew,[status(thm),theory(equality)],[1630,3149,149]),
    [iquote('0:Rew:1630.0,3149.0,149.0,3149.0')] ).

cnf(3231,plain,
    equal(store(earray_268,index_273,e44),earray_274),
    inference(rew,[status(thm),theory(equality)],[3229,150]),
    [iquote('0:Rew:3229.0,150.0')] ).

cnf(3232,plain,
    equal(earray_266,earray_262),
    inference(rew,[status(thm),theory(equality)],[1631,3150,147]),
    [iquote('0:Rew:1631.0,3150.0,147.0,3150.0')] ).

cnf(3234,plain,
    equal(store(earray_262,index_267,e43),earray_268),
    inference(rew,[status(thm),theory(equality)],[3232,148]),
    [iquote('0:Rew:3232.0,148.0')] ).

cnf(3235,plain,
    equal(earray_251,earray_247),
    inference(rew,[status(thm),theory(equality)],[1633,3151,143]),
    [iquote('0:Rew:1633.0,3151.0,143.0,3151.0')] ).

cnf(3237,plain,
    equal(store(earray_247,index_252,e41),earray_253),
    inference(rew,[status(thm),theory(equality)],[3235,144]),
    [iquote('0:Rew:3235.0,144.0')] ).

cnf(3238,plain,
    equal(earray_245,earray_241),
    inference(rew,[status(thm),theory(equality)],[1634,3152,141]),
    [iquote('0:Rew:1634.0,3152.0,141.0,3152.0')] ).

cnf(3240,plain,
    equal(store(earray_241,index_246,e40),earray_247),
    inference(rew,[status(thm),theory(equality)],[3238,142]),
    [iquote('0:Rew:3238.0,142.0')] ).

cnf(3244,plain,
    equal(earray_224,earray_220),
    inference(rew,[status(thm),theory(equality)],[1638,3154,135]),
    [iquote('0:Rew:1638.0,3154.0,135.0,3154.0')] ).

cnf(3246,plain,
    equal(store(earray_220,index_225,e38),earray_226),
    inference(rew,[status(thm),theory(equality)],[3244,136]),
    [iquote('0:Rew:3244.0,136.0')] ).

cnf(3247,plain,
    equal(earray_218,earray_214),
    inference(rew,[status(thm),theory(equality)],[1639,3155,132]),
    [iquote('0:Rew:1639.0,3155.0,132.0,3155.0')] ).

cnf(3249,plain,
    equal(store(earray_214,index_219,e37),earray_220),
    inference(rew,[status(thm),theory(equality)],[3247,134]),
    [iquote('0:Rew:3247.0,134.0')] ).

cnf(3250,plain,
    equal(earray_203,earray_199),
    inference(rew,[status(thm),theory(equality)],[1641,3156,128]),
    [iquote('0:Rew:1641.0,3156.0,128.0,3156.0')] ).

cnf(3252,plain,
    equal(store(earray_199,index_204,e35),earray_205),
    inference(rew,[status(thm),theory(equality)],[3250,129]),
    [iquote('0:Rew:3250.0,129.0')] ).

cnf(3253,plain,
    equal(earray_197,earray_193),
    inference(rew,[status(thm),theory(equality)],[1642,3157,124]),
    [iquote('0:Rew:1642.0,3157.0,124.0,3157.0')] ).

cnf(3255,plain,
    equal(store(earray_193,index_198,e34),earray_199),
    inference(rew,[status(thm),theory(equality)],[3253,125]),
    [iquote('0:Rew:3253.0,125.0')] ).

cnf(3259,plain,
    equal(earray_182,earray_178),
    inference(rew,[status(thm),theory(equality)],[1644,3159,120]),
    [iquote('0:Rew:1644.0,3159.0,120.0,3159.0')] ).

cnf(3261,plain,
    equal(store(earray_178,index_183,e32),earray_184),
    inference(rew,[status(thm),theory(equality)],[3259,121]),
    [iquote('0:Rew:3259.0,121.0')] ).

cnf(3262,plain,
    equal(earray_176,earray_172),
    inference(rew,[status(thm),theory(equality)],[1645,3160,118]),
    [iquote('0:Rew:1645.0,3160.0,118.0,3160.0')] ).

cnf(3264,plain,
    equal(store(earray_172,index_177,e31),earray_178),
    inference(rew,[status(thm),theory(equality)],[3262,119]),
    [iquote('0:Rew:3262.0,119.0')] ).

cnf(3265,plain,
    equal(earray_161,earray_148),
    inference(rew,[status(thm),theory(equality)],[1649,3161,114]),
    [iquote('0:Rew:1649.0,3161.0,114.0,3161.0')] ).

cnf(3267,plain,
    equal(store(earray_148,index_162,e29),earray_163),
    inference(rew,[status(thm),theory(equality)],[3265,115]),
    [iquote('0:Rew:3265.0,115.0')] ).

cnf(3268,plain,
    equal(earray_146,earray_142),
    inference(rew,[status(thm),theory(equality)],[1650,3162,109]),
    [iquote('0:Rew:1650.0,3162.0,109.0,3162.0')] ).

cnf(3270,plain,
    equal(store(earray_142,index_147,e28),earray_148),
    inference(rew,[status(thm),theory(equality)],[3268,110]),
    [iquote('0:Rew:3268.0,110.0')] ).

cnf(3271,plain,
    equal(earray_131,earray_127),
    inference(rew,[status(thm),theory(equality)],[1652,3163,104]),
    [iquote('0:Rew:1652.0,3163.0,104.0,3163.0')] ).

cnf(3273,plain,
    equal(store(earray_127,index_132,e26),earray_133),
    inference(rew,[status(thm),theory(equality)],[3271,105]),
    [iquote('0:Rew:3271.0,105.0')] ).

cnf(3277,plain,
    equal(earray_125,earray_121),
    inference(rew,[status(thm),theory(equality)],[1653,3165,102]),
    [iquote('0:Rew:1653.0,3165.0,102.0,3165.0')] ).

cnf(3279,plain,
    equal(store(earray_121,index_126,e25),earray_127),
    inference(rew,[status(thm),theory(equality)],[3277,103]),
    [iquote('0:Rew:3277.0,103.0')] ).

cnf(3280,plain,
    equal(earray_110,earray_106),
    inference(rew,[status(thm),theory(equality)],[1656,3166,98]),
    [iquote('0:Rew:1656.0,3166.0,98.0,3166.0')] ).

cnf(3282,plain,
    equal(store(earray_106,index_111,e23),earray_112),
    inference(rew,[status(thm),theory(equality)],[3280,99]),
    [iquote('0:Rew:3280.0,99.0')] ).

cnf(3283,plain,
    equal(earray_104,earray_100),
    inference(rew,[status(thm),theory(equality)],[1657,3167,96]),
    [iquote('0:Rew:1657.0,3167.0,96.0,3167.0')] ).

cnf(3285,plain,
    equal(store(earray_100,index_105,e22),earray_106),
    inference(rew,[status(thm),theory(equality)],[3283,97]),
    [iquote('0:Rew:3283.0,97.0')] ).

cnf(3286,plain,
    equal(rselect_seq(queue_94),earray_91),
    inference(rew,[status(thm),theory(equality)],[1608,3168]),
    [iquote('0:Rew:1608.0,3168.0')] ).

cnf(3287,plain,
    equal(rselect_seq(queue_67),earray_64),
    inference(rew,[status(thm),theory(equality)],[1612,3169]),
    [iquote('0:Rew:1612.0,3169.0')] ).

cnf(3291,plain,
    equal(rselect_seq(queue_298),earray_295),
    inference(rew,[status(thm),theory(equality)],[1626,3173]),
    [iquote('0:Rew:1626.0,3173.0')] ).

cnf(3292,plain,
    equal(rselect_seq(queue_277),earray_274),
    inference(rew,[status(thm),theory(equality)],[1629,3174]),
    [iquote('0:Rew:1629.0,3174.0')] ).

cnf(3294,plain,
    equal(rselect_seq(queue_256),earray_253),
    inference(rew,[status(thm),theory(equality)],[1632,3176]),
    [iquote('0:Rew:1632.0,3176.0')] ).

cnf(3295,plain,
    equal(rselect_seq(queue_229),earray_226),
    inference(rew,[status(thm),theory(equality)],[1637,3177]),
    [iquote('0:Rew:1637.0,3177.0')] ).

cnf(3296,plain,
    equal(rselect_seq(queue_208),earray_205),
    inference(rew,[status(thm),theory(equality)],[1640,3178]),
    [iquote('0:Rew:1640.0,3178.0')] ).

cnf(3297,plain,
    equal(rselect_seq(queue_187),earray_184),
    inference(rew,[status(thm),theory(equality)],[1643,3179]),
    [iquote('0:Rew:1643.0,3179.0')] ).

cnf(3298,plain,
    equal(rselect_seq(queue_166),earray_163),
    inference(rew,[status(thm),theory(equality)],[1647,3180]),
    [iquote('0:Rew:1647.0,3180.0')] ).

cnf(3300,plain,
    equal(rselect_seq(queue_136),earray_133),
    inference(rew,[status(thm),theory(equality)],[1651,3182]),
    [iquote('0:Rew:1651.0,3182.0')] ).

cnf(3301,plain,
    equal(rselect_seq(queue_115),earray_112),
    inference(rew,[status(thm),theory(equality)],[1654,3183]),
    [iquote('0:Rew:1654.0,3183.0')] ).

cnf(3481,plain,
    equal(rselect_seq(queue_67),rselect_seq(q18)),
    inference(spr,[status(thm),theory(equality)],[2696,6]),
    [iquote('0:SpR:2696.0,6.0')] ).

cnf(3482,plain,
    equal(rselect_seq(queue_94),rselect_seq(q21)),
    inference(spr,[status(thm),theory(equality)],[2710,6]),
    [iquote('0:SpR:2710.0,6.0')] ).

cnf(3483,plain,
    equal(rselect_seq(queue_115),rselect_seq(q24)),
    inference(spr,[status(thm),theory(equality)],[2749,6]),
    [iquote('0:SpR:2749.0,6.0')] ).

cnf(3484,plain,
    equal(rselect_seq(queue_136),rselect_seq(q27)),
    inference(spr,[status(thm),theory(equality)],[2763,6]),
    [iquote('0:SpR:2763.0,6.0')] ).

cnf(3485,plain,
    equal(rselect_seq(queue_166),rselect_seq(q30)),
    inference(spr,[status(thm),theory(equality)],[2778,6]),
    [iquote('0:SpR:2778.0,6.0')] ).

cnf(3486,plain,
    equal(rselect_seq(queue_187),rselect_seq(q33)),
    inference(spr,[status(thm),theory(equality)],[2793,6]),
    [iquote('0:SpR:2793.0,6.0')] ).

cnf(3487,plain,
    equal(rselect_seq(queue_208),rselect_seq(q36)),
    inference(spr,[status(thm),theory(equality)],[2808,6]),
    [iquote('0:SpR:2808.0,6.0')] ).

cnf(3488,plain,
    equal(rselect_seq(queue_229),rselect_seq(q39)),
    inference(spr,[status(thm),theory(equality)],[2823,6]),
    [iquote('0:SpR:2823.0,6.0')] ).

cnf(3489,plain,
    equal(rselect_seq(queue_256),rselect_seq(q42)),
    inference(spr,[status(thm),theory(equality)],[2838,6]),
    [iquote('0:SpR:2838.0,6.0')] ).

cnf(3490,plain,
    equal(rselect_seq(queue_277),rselect_seq(q45)),
    inference(spr,[status(thm),theory(equality)],[2853,6]),
    [iquote('0:SpR:2853.0,6.0')] ).

cnf(3491,plain,
    equal(rselect_seq(queue_298),rselect_seq(q48)),
    inference(spr,[status(thm),theory(equality)],[2874,6]),
    [iquote('0:SpR:2874.0,6.0')] ).

cnf(3510,plain,
    equal(earray_71,earray_64),
    inference(rew,[status(thm),theory(equality)],[3287,3481,185]),
    [iquote('0:Rew:3287.0,3481.0,185.0,3481.0')] ).

cnf(3512,plain,
    equal(store(earray_64,index_72,e18),earray_73),
    inference(rew,[status(thm),theory(equality)],[3510,186]),
    [iquote('0:Rew:3510.0,186.0')] ).

cnf(3513,plain,
    equal(earray_91,earray_98),
    inference(rew,[status(thm),theory(equality)],[3286,3482,194]),
    [iquote('0:Rew:3286.0,3482.0,194.0,3482.0')] ).

cnf(3517,plain,
    equal(store(earray_85,index_90,e20),earray_98),
    inference(rew,[status(thm),theory(equality)],[3513,3189]),
    [iquote('0:Rew:3513.0,3189.0')] ).

cnf(3518,plain,
    equal(earray_119,earray_112),
    inference(rew,[status(thm),theory(equality)],[3301,3483,100]),
    [iquote('0:Rew:3301.0,3483.0,100.0,3483.0')] ).

cnf(3520,plain,
    equal(store(earray_112,index_120,e24),earray_121),
    inference(rew,[status(thm),theory(equality)],[3518,101]),
    [iquote('0:Rew:3518.0,101.0')] ).

cnf(3521,plain,
    equal(earray_140,earray_133),
    inference(rew,[status(thm),theory(equality)],[3300,3484,107]),
    [iquote('0:Rew:3300.0,3484.0,107.0,3484.0')] ).

cnf(3523,plain,
    equal(store(earray_133,index_141,e27),earray_142),
    inference(rew,[status(thm),theory(equality)],[3521,108]),
    [iquote('0:Rew:3521.0,108.0')] ).

cnf(3524,plain,
    equal(earray_170,earray_163),
    inference(rew,[status(thm),theory(equality)],[3298,3485,116]),
    [iquote('0:Rew:3298.0,3485.0,116.0,3485.0')] ).

cnf(3526,plain,
    equal(store(earray_163,index_171,e30),earray_172),
    inference(rew,[status(thm),theory(equality)],[3524,117]),
    [iquote('0:Rew:3524.0,117.0')] ).

cnf(3527,plain,
    equal(earray_191,earray_184),
    inference(rew,[status(thm),theory(equality)],[3297,3486,122]),
    [iquote('0:Rew:3297.0,3486.0,122.0,3486.0')] ).

cnf(3529,plain,
    equal(store(earray_184,index_192,e33),earray_193),
    inference(rew,[status(thm),theory(equality)],[3527,123]),
    [iquote('0:Rew:3527.0,123.0')] ).

cnf(3530,plain,
    equal(earray_212,earray_205),
    inference(rew,[status(thm),theory(equality)],[3296,3487,130]),
    [iquote('0:Rew:3296.0,3487.0,130.0,3487.0')] ).

cnf(3532,plain,
    equal(store(earray_205,index_213,e36),earray_214),
    inference(rew,[status(thm),theory(equality)],[3530,131]),
    [iquote('0:Rew:3530.0,131.0')] ).

cnf(3533,plain,
    equal(earray_239,earray_226),
    inference(rew,[status(thm),theory(equality)],[3295,3488,139]),
    [iquote('0:Rew:3295.0,3488.0,139.0,3488.0')] ).

cnf(3535,plain,
    equal(store(earray_226,index_240,e39),earray_241),
    inference(rew,[status(thm),theory(equality)],[3533,140]),
    [iquote('0:Rew:3533.0,140.0')] ).

cnf(3536,plain,
    equal(earray_260,earray_253),
    inference(rew,[status(thm),theory(equality)],[3294,3489,145]),
    [iquote('0:Rew:3294.0,3489.0,145.0,3489.0')] ).

cnf(3538,plain,
    equal(store(earray_253,index_261,e42),earray_262),
    inference(rew,[status(thm),theory(equality)],[3536,146]),
    [iquote('0:Rew:3536.0,146.0')] ).

cnf(3539,plain,
    equal(earray_281,earray_274),
    inference(rew,[status(thm),theory(equality)],[3292,3490,151]),
    [iquote('0:Rew:3292.0,3490.0,151.0,3490.0')] ).

cnf(3541,plain,
    equal(store(earray_274,index_282,e45),earray_283),
    inference(rew,[status(thm),theory(equality)],[3539,152]),
    [iquote('0:Rew:3539.0,152.0')] ).

cnf(3542,plain,
    equal(earray_302,earray_295),
    inference(rew,[status(thm),theory(equality)],[3291,3491,158]),
    [iquote('0:Rew:3291.0,3491.0,158.0,3491.0')] ).

cnf(3544,plain,
    equal(store(earray_295,index_303,e48),earray_304),
    inference(rew,[status(thm),theory(equality)],[3542,159]),
    [iquote('0:Rew:3542.0,159.0')] ).

cnf(3613,plain,
    ~ equal(s(s(s(index_63))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,90]),
    [iquote('0:SpL:1160.0,90.0')] ).

cnf(3662,plain,
    ~ equal(index_90,index_57),
    inference(rew,[status(thm),theory(equality)],[1140,3613,1150,1794]),
    [iquote('0:Rew:1140.0,3613.0,1150.0,3613.0,1794.0,3613.0')] ).

cnf(3715,plain,
    equal(select(earray_58,index_57),e16),
    inference(spr,[status(thm),theory(equality)],[3204,1]),
    [iquote('0:SpR:3204.0,1.0')] ).

cnf(3763,plain,
    ~ equal(s(s(s(s(index_63)))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,89]),
    [iquote('0:SpL:1160.0,89.0')] ).

cnf(3812,plain,
    ~ equal(index_57,index_99),
    inference(rew,[status(thm),theory(equality)],[1784,3763,1140,1150,1794]),
    [iquote('0:Rew:1784.0,3763.0,1140.0,3763.0,1150.0,3763.0,1794.0,3763.0')] ).

cnf(3862,plain,
    ~ equal(s(s(s(s(s(index_63))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,88]),
    [iquote('0:SpL:1160.0,88.0')] ).

cnf(3911,plain,
    ~ equal(index_57,index_105),
    inference(rew,[status(thm),theory(equality)],[1300,3862,1784,1140,1150,1794]),
    [iquote('0:Rew:1300.0,3862.0,1784.0,3862.0,1140.0,3862.0,1150.0,3862.0,1794.0,3862.0')] ).

cnf(3961,plain,
    ~ equal(s(s(s(s(s(s(index_63)))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,87]),
    [iquote('0:SpL:1160.0,87.0')] ).

cnf(4010,plain,
    ~ equal(index_57,index_111),
    inference(rew,[status(thm),theory(equality)],[1295,3961,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1295.0,3961.0,1300.0,3961.0,1784.0,3961.0,1140.0,3961.0,1150.0,3961.0,1794.0,3961.0')] ).

cnf(4060,plain,
    ~ equal(s(s(s(s(s(s(s(index_63))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,86]),
    [iquote('0:SpL:1160.0,86.0')] ).

cnf(4109,plain,
    ~ equal(index_57,index_120),
    inference(rew,[status(thm),theory(equality)],[1934,4060,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1934.0,4060.0,1295.0,4060.0,1300.0,4060.0,1784.0,4060.0,1140.0,4060.0,1150.0,4060.0,1794.0,4060.0')] ).

cnf(4159,plain,
    ~ equal(s(s(s(s(s(s(s(s(index_63)))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,85]),
    [iquote('0:SpL:1160.0,85.0')] ).

cnf(4208,plain,
    ~ equal(index_57,index_126),
    inference(rew,[status(thm),theory(equality)],[1290,4159,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1290.0,4159.0,1934.0,4159.0,1295.0,4159.0,1300.0,4159.0,1784.0,4159.0,1140.0,4159.0,1150.0,4159.0,1794.0,4159.0')] ).

cnf(4257,plain,
    ( equal(index_99,u)
    | equal(select(earray_98,u),select(earray_100,u)) ),
    inference(spr,[status(thm),theory(equality)],[95,2]),
    [iquote('0:SpR:95.0,2.1')] ).

cnf(4260,plain,
    ( equal(index_84,u)
    | equal(select(earray_85,u),select(earray_73,u)) ),
    inference(spr,[status(thm),theory(equality)],[3196,2]),
    [iquote('0:SpR:3196.0,2.1')] ).

cnf(4261,plain,
    ( equal(index_63,u)
    | equal(select(earray_64,u),select(earray_58,u)) ),
    inference(spr,[status(thm),theory(equality)],[3201,2]),
    [iquote('0:SpR:3201.0,2.1')] ).

cnf(4267,plain,
    ( equal(index_315,u)
    | equal(select(earray_316,u),select(earray_304,u)) ),
    inference(spr,[status(thm),theory(equality)],[3222,2]),
    [iquote('0:SpR:3222.0,2.1')] ).

cnf(4268,plain,
    ( equal(index_294,u)
    | equal(select(earray_295,u),select(earray_289,u)) ),
    inference(spr,[status(thm),theory(equality)],[3225,2]),
    [iquote('0:SpR:3225.0,2.1')] ).

cnf(4269,plain,
    ( equal(index_288,u)
    | equal(select(earray_289,u),select(earray_283,u)) ),
    inference(spr,[status(thm),theory(equality)],[3228,2]),
    [iquote('0:SpR:3228.0,2.1')] ).

cnf(4270,plain,
    ( equal(index_273,u)
    | equal(select(earray_274,u),select(earray_268,u)) ),
    inference(spr,[status(thm),theory(equality)],[3231,2]),
    [iquote('0:SpR:3231.0,2.1')] ).

cnf(4271,plain,
    ( equal(index_267,u)
    | equal(select(earray_268,u),select(earray_262,u)) ),
    inference(spr,[status(thm),theory(equality)],[3234,2]),
    [iquote('0:SpR:3234.0,2.1')] ).

cnf(4272,plain,
    ( equal(index_252,u)
    | equal(select(earray_253,u),select(earray_247,u)) ),
    inference(spr,[status(thm),theory(equality)],[3237,2]),
    [iquote('0:SpR:3237.0,2.1')] ).

cnf(4273,plain,
    ( equal(index_246,u)
    | equal(select(earray_247,u),select(earray_241,u)) ),
    inference(spr,[status(thm),theory(equality)],[3240,2]),
    [iquote('0:SpR:3240.0,2.1')] ).

cnf(4275,plain,
    ( equal(index_225,u)
    | equal(select(earray_226,u),select(earray_220,u)) ),
    inference(spr,[status(thm),theory(equality)],[3246,2]),
    [iquote('0:SpR:3246.0,2.1')] ).

cnf(4276,plain,
    ( equal(index_219,u)
    | equal(select(earray_220,u),select(earray_214,u)) ),
    inference(spr,[status(thm),theory(equality)],[3249,2]),
    [iquote('0:SpR:3249.0,2.1')] ).

cnf(4277,plain,
    ( equal(index_204,u)
    | equal(select(earray_205,u),select(earray_199,u)) ),
    inference(spr,[status(thm),theory(equality)],[3252,2]),
    [iquote('0:SpR:3252.0,2.1')] ).

cnf(4278,plain,
    ( equal(index_198,u)
    | equal(select(earray_199,u),select(earray_193,u)) ),
    inference(spr,[status(thm),theory(equality)],[3255,2]),
    [iquote('0:SpR:3255.0,2.1')] ).

cnf(4280,plain,
    ( equal(index_183,u)
    | equal(select(earray_184,u),select(earray_178,u)) ),
    inference(spr,[status(thm),theory(equality)],[3261,2]),
    [iquote('0:SpR:3261.0,2.1')] ).

cnf(4281,plain,
    ( equal(index_177,u)
    | equal(select(earray_178,u),select(earray_172,u)) ),
    inference(spr,[status(thm),theory(equality)],[3264,2]),
    [iquote('0:SpR:3264.0,2.1')] ).

cnf(4282,plain,
    ( equal(index_162,u)
    | equal(select(earray_163,u),select(earray_148,u)) ),
    inference(spr,[status(thm),theory(equality)],[3267,2]),
    [iquote('0:SpR:3267.0,2.1')] ).

cnf(4283,plain,
    ( equal(index_147,u)
    | equal(select(earray_148,u),select(earray_142,u)) ),
    inference(spr,[status(thm),theory(equality)],[3270,2]),
    [iquote('0:SpR:3270.0,2.1')] ).

cnf(4284,plain,
    ( equal(index_132,u)
    | equal(select(earray_133,u),select(earray_127,u)) ),
    inference(spr,[status(thm),theory(equality)],[3273,2]),
    [iquote('0:SpR:3273.0,2.1')] ).

cnf(4286,plain,
    ( equal(index_126,u)
    | equal(select(earray_127,u),select(earray_121,u)) ),
    inference(spr,[status(thm),theory(equality)],[3279,2]),
    [iquote('0:SpR:3279.0,2.1')] ).

cnf(4287,plain,
    ( equal(index_111,u)
    | equal(select(earray_112,u),select(earray_106,u)) ),
    inference(spr,[status(thm),theory(equality)],[3282,2]),
    [iquote('0:SpR:3282.0,2.1')] ).

cnf(4288,plain,
    ( equal(index_105,u)
    | equal(select(earray_106,u),select(earray_100,u)) ),
    inference(spr,[status(thm),theory(equality)],[3285,2]),
    [iquote('0:SpR:3285.0,2.1')] ).

cnf(4294,plain,
    ( equal(index_72,u)
    | equal(select(earray_73,u),select(earray_64,u)) ),
    inference(spr,[status(thm),theory(equality)],[3512,2]),
    [iquote('0:SpR:3512.0,2.1')] ).

cnf(4295,plain,
    ( equal(index_90,u)
    | equal(select(earray_85,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[3517,2]),
    [iquote('0:SpR:3517.0,2.1')] ).

cnf(4296,plain,
    ( equal(index_120,u)
    | equal(select(earray_121,u),select(earray_112,u)) ),
    inference(spr,[status(thm),theory(equality)],[3520,2]),
    [iquote('0:SpR:3520.0,2.1')] ).

cnf(4297,plain,
    ( equal(index_141,u)
    | equal(select(earray_142,u),select(earray_133,u)) ),
    inference(spr,[status(thm),theory(equality)],[3523,2]),
    [iquote('0:SpR:3523.0,2.1')] ).

cnf(4298,plain,
    ( equal(index_171,u)
    | equal(select(earray_172,u),select(earray_163,u)) ),
    inference(spr,[status(thm),theory(equality)],[3526,2]),
    [iquote('0:SpR:3526.0,2.1')] ).

cnf(4299,plain,
    ( equal(index_192,u)
    | equal(select(earray_193,u),select(earray_184,u)) ),
    inference(spr,[status(thm),theory(equality)],[3529,2]),
    [iquote('0:SpR:3529.0,2.1')] ).

cnf(4300,plain,
    ( equal(index_213,u)
    | equal(select(earray_214,u),select(earray_205,u)) ),
    inference(spr,[status(thm),theory(equality)],[3532,2]),
    [iquote('0:SpR:3532.0,2.1')] ).

cnf(4301,plain,
    ( equal(index_240,u)
    | equal(select(earray_241,u),select(earray_226,u)) ),
    inference(spr,[status(thm),theory(equality)],[3535,2]),
    [iquote('0:SpR:3535.0,2.1')] ).

cnf(4302,plain,
    ( equal(index_261,u)
    | equal(select(earray_262,u),select(earray_253,u)) ),
    inference(spr,[status(thm),theory(equality)],[3538,2]),
    [iquote('0:SpR:3538.0,2.1')] ).

cnf(4303,plain,
    ( equal(index_282,u)
    | equal(select(earray_283,u),select(earray_274,u)) ),
    inference(spr,[status(thm),theory(equality)],[3541,2]),
    [iquote('0:SpR:3541.0,2.1')] ).

cnf(4304,plain,
    ( equal(index_303,u)
    | equal(select(earray_304,u),select(earray_295,u)) ),
    inference(spr,[status(thm),theory(equality)],[3544,2]),
    [iquote('0:SpR:3544.0,2.1')] ).

cnf(4310,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(index_63))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,84]),
    [iquote('0:SpL:1160.0,84.0')] ).

cnf(4359,plain,
    ~ equal(index_57,index_132),
    inference(rew,[status(thm),theory(equality)],[1280,4310,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1280.0,4310.0,1290.0,4310.0,1934.0,4310.0,1295.0,4310.0,1300.0,4310.0,1784.0,4310.0,1140.0,4310.0,1150.0,4310.0,1794.0,4310.0')] ).

cnf(4409,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(index_63)))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,83]),
    [iquote('0:SpL:1160.0,83.0')] ).

cnf(4458,plain,
    ~ equal(index_57,index_141),
    inference(rew,[status(thm),theory(equality)],[1924,4409,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1924.0,4409.0,1280.0,4409.0,1290.0,4409.0,1934.0,4409.0,1295.0,4409.0,1300.0,4409.0,1784.0,4409.0,1140.0,4409.0,1150.0,4409.0,1794.0,4409.0')] ).

cnf(4508,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,82]),
    [iquote('0:SpL:1160.0,82.0')] ).

cnf(4557,plain,
    ~ equal(index_57,index_147),
    inference(rew,[status(thm),theory(equality)],[1275,4508,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1275.0,4508.0,1924.0,4508.0,1280.0,4508.0,1290.0,4508.0,1934.0,4508.0,1295.0,4508.0,1300.0,4508.0,1784.0,4508.0,1140.0,4508.0,1150.0,4508.0,1794.0,4508.0')] ).

cnf(4607,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,81]),
    [iquote('0:SpL:1160.0,81.0')] ).

cnf(4656,plain,
    ~ equal(index_57,index_162),
    inference(rew,[status(thm),theory(equality)],[1270,4607,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1270.0,4607.0,1275.0,4607.0,1924.0,4607.0,1280.0,4607.0,1290.0,4607.0,1934.0,4607.0,1295.0,4607.0,1300.0,4607.0,1784.0,4607.0,1140.0,4607.0,1150.0,4607.0,1794.0,4607.0')] ).

cnf(4706,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,80]),
    [iquote('0:SpL:1160.0,80.0')] ).

cnf(4755,plain,
    ~ equal(index_57,index_171),
    inference(rew,[status(thm),theory(equality)],[1904,4706,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1904.0,4706.0,1270.0,4706.0,1275.0,4706.0,1924.0,4706.0,1280.0,4706.0,1290.0,4706.0,1934.0,4706.0,1295.0,4706.0,1300.0,4706.0,1784.0,4706.0,1140.0,4706.0,1150.0,4706.0,1794.0,4706.0')] ).

cnf(4805,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,79]),
    [iquote('0:SpL:1160.0,79.0')] ).

cnf(4854,plain,
    ~ equal(index_57,index_177),
    inference(rew,[status(thm),theory(equality)],[1265,4805,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1265.0,4805.0,1904.0,4805.0,1270.0,4805.0,1275.0,4805.0,1924.0,4805.0,1280.0,4805.0,1290.0,4805.0,1934.0,4805.0,1295.0,4805.0,1300.0,4805.0,1784.0,4805.0,1140.0,4805.0,1150.0,4805.0,1794.0,4805.0')] ).

cnf(4904,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,78]),
    [iquote('0:SpL:1160.0,78.0')] ).

cnf(4953,plain,
    ~ equal(index_57,index_183),
    inference(rew,[status(thm),theory(equality)],[1260,4904,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1260.0,4904.0,1265.0,4904.0,1904.0,4904.0,1270.0,4904.0,1275.0,4904.0,1924.0,4904.0,1280.0,4904.0,1290.0,4904.0,1934.0,4904.0,1295.0,4904.0,1300.0,4904.0,1784.0,4904.0,1140.0,4904.0,1150.0,4904.0,1794.0,4904.0')] ).

cnf(5003,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,77]),
    [iquote('0:SpL:1160.0,77.0')] ).

cnf(5092,plain,
    ~ equal(index_57,index_192),
    inference(rew,[status(thm),theory(equality)],[1894,5003,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1894.0,5003.0,1260.0,5003.0,1265.0,5003.0,1904.0,5003.0,1270.0,5003.0,1275.0,5003.0,1924.0,5003.0,1280.0,5003.0,1290.0,5003.0,1934.0,5003.0,1295.0,5003.0,1300.0,5003.0,1784.0,5003.0,1140.0,5003.0,1150.0,5003.0,1794.0,5003.0')] ).

cnf(5102,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,76]),
    [iquote('0:SpL:1160.0,76.0')] ).

cnf(5191,plain,
    ~ equal(index_57,index_198),
    inference(rew,[status(thm),theory(equality)],[1250,5102,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1250.0,5102.0,1894.0,5102.0,1260.0,5102.0,1265.0,5102.0,1904.0,5102.0,1270.0,5102.0,1275.0,5102.0,1924.0,5102.0,1280.0,5102.0,1290.0,5102.0,1934.0,5102.0,1295.0,5102.0,1300.0,5102.0,1784.0,5102.0,1140.0,5102.0,1150.0,5102.0,1794.0,5102.0')] ).

cnf(5201,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,75]),
    [iquote('0:SpL:1160.0,75.0')] ).

cnf(5290,plain,
    ~ equal(index_57,index_204),
    inference(rew,[status(thm),theory(equality)],[1245,5201,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1245.0,5201.0,1250.0,5201.0,1894.0,5201.0,1260.0,5201.0,1265.0,5201.0,1904.0,5201.0,1270.0,5201.0,1275.0,5201.0,1924.0,5201.0,1280.0,5201.0,1290.0,5201.0,1934.0,5201.0,1295.0,5201.0,1300.0,5201.0,1784.0,5201.0,1140.0,5201.0,1150.0,5201.0,1794.0,5201.0')] ).

cnf(5300,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,74]),
    [iquote('0:SpL:1160.0,74.0')] ).

cnf(5389,plain,
    ~ equal(index_57,index_213),
    inference(rew,[status(thm),theory(equality)],[1884,5300,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1884.0,5300.0,1245.0,5300.0,1250.0,5300.0,1894.0,5300.0,1260.0,5300.0,1265.0,5300.0,1904.0,5300.0,1270.0,5300.0,1275.0,5300.0,1924.0,5300.0,1280.0,5300.0,1290.0,5300.0,1934.0,5300.0,1295.0,5300.0,1300.0,5300.0,1784.0,5300.0,1140.0,5300.0,1150.0,5300.0,1794.0,5300.0')] ).

cnf(5399,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,73]),
    [iquote('0:SpL:1160.0,73.0')] ).

cnf(5488,plain,
    ~ equal(index_57,index_219),
    inference(rew,[status(thm),theory(equality)],[1240,5399,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1240.0,5399.0,1884.0,5399.0,1245.0,5399.0,1250.0,5399.0,1894.0,5399.0,1260.0,5399.0,1265.0,5399.0,1904.0,5399.0,1270.0,5399.0,1275.0,5399.0,1924.0,5399.0,1280.0,5399.0,1290.0,5399.0,1934.0,5399.0,1295.0,5399.0,1300.0,5399.0,1784.0,5399.0,1140.0,5399.0,1150.0,5399.0,1794.0,5399.0')] ).

cnf(5498,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,72]),
    [iquote('0:SpL:1160.0,72.0')] ).

cnf(5587,plain,
    ~ equal(index_57,index_225),
    inference(rew,[status(thm),theory(equality)],[1235,5498,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1235.0,5498.0,1240.0,5498.0,1884.0,5498.0,1245.0,5498.0,1250.0,5498.0,1894.0,5498.0,1260.0,5498.0,1265.0,5498.0,1904.0,5498.0,1270.0,5498.0,1275.0,5498.0,1924.0,5498.0,1280.0,5498.0,1290.0,5498.0,1934.0,5498.0,1295.0,5498.0,1300.0,5498.0,1784.0,5498.0,1140.0,5498.0,1150.0,5498.0,1794.0,5498.0')] ).

cnf(5597,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,71]),
    [iquote('0:SpL:1160.0,71.0')] ).

cnf(5686,plain,
    ~ equal(index_57,index_240),
    inference(rew,[status(thm),theory(equality)],[1874,5597,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1874.0,5597.0,1235.0,5597.0,1240.0,5597.0,1884.0,5597.0,1245.0,5597.0,1250.0,5597.0,1894.0,5597.0,1260.0,5597.0,1265.0,5597.0,1904.0,5597.0,1270.0,5597.0,1275.0,5597.0,1924.0,5597.0,1280.0,5597.0,1290.0,5597.0,1934.0,5597.0,1295.0,5597.0,1300.0,5597.0,1784.0,5597.0,1140.0,5597.0,1150.0,5597.0,1794.0,5597.0')] ).

cnf(5696,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,70]),
    [iquote('0:SpL:1160.0,70.0')] ).

cnf(5785,plain,
    ~ equal(index_57,index_246),
    inference(rew,[status(thm),theory(equality)],[1225,5696,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1225.0,5696.0,1874.0,5696.0,1235.0,5696.0,1240.0,5696.0,1884.0,5696.0,1245.0,5696.0,1250.0,5696.0,1894.0,5696.0,1260.0,5696.0,1265.0,5696.0,1904.0,5696.0,1270.0,5696.0,1275.0,5696.0,1924.0,5696.0,1280.0,5696.0,1290.0,5696.0,1934.0,5696.0,1295.0,5696.0,1300.0,5696.0,1784.0,5696.0,1140.0,5696.0,1150.0,5696.0,1794.0,5696.0')] ).

cnf(5795,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,69]),
    [iquote('0:SpL:1160.0,69.0')] ).

cnf(5884,plain,
    ~ equal(index_57,index_252),
    inference(rew,[status(thm),theory(equality)],[1220,5795,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1220.0,5795.0,1225.0,5795.0,1874.0,5795.0,1235.0,5795.0,1240.0,5795.0,1884.0,5795.0,1245.0,5795.0,1250.0,5795.0,1894.0,5795.0,1260.0,5795.0,1265.0,5795.0,1904.0,5795.0,1270.0,5795.0,1275.0,5795.0,1924.0,5795.0,1280.0,5795.0,1290.0,5795.0,1934.0,5795.0,1295.0,5795.0,1300.0,5795.0,1784.0,5795.0,1140.0,5795.0,1150.0,5795.0,1794.0,5795.0')] ).

cnf(5894,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,68]),
    [iquote('0:SpL:1160.0,68.0')] ).

cnf(5983,plain,
    ~ equal(index_57,index_261),
    inference(rew,[status(thm),theory(equality)],[1864,5894,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1864.0,5894.0,1220.0,5894.0,1225.0,5894.0,1874.0,5894.0,1235.0,5894.0,1240.0,5894.0,1884.0,5894.0,1245.0,5894.0,1250.0,5894.0,1894.0,5894.0,1260.0,5894.0,1265.0,5894.0,1904.0,5894.0,1270.0,5894.0,1275.0,5894.0,1924.0,5894.0,1280.0,5894.0,1290.0,5894.0,1934.0,5894.0,1295.0,5894.0,1300.0,5894.0,1784.0,5894.0,1140.0,5894.0,1150.0,5894.0,1794.0,5894.0')] ).

cnf(5993,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,67]),
    [iquote('0:SpL:1160.0,67.0')] ).

cnf(6082,plain,
    ~ equal(index_57,index_267),
    inference(rew,[status(thm),theory(equality)],[1215,5993,1864,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1215.0,5993.0,1864.0,5993.0,1220.0,5993.0,1225.0,5993.0,1874.0,5993.0,1235.0,5993.0,1240.0,5993.0,1884.0,5993.0,1245.0,5993.0,1250.0,5993.0,1894.0,5993.0,1260.0,5993.0,1265.0,5993.0,1904.0,5993.0,1270.0,5993.0,1275.0,5993.0,1924.0,5993.0,1280.0,5993.0,1290.0,5993.0,1934.0,5993.0,1295.0,5993.0,1300.0,5993.0,1784.0,5993.0,1140.0,5993.0,1150.0,5993.0,1794.0,5993.0')] ).

cnf(6092,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,66]),
    [iquote('0:SpL:1160.0,66.0')] ).

cnf(6181,plain,
    ~ equal(index_57,index_273),
    inference(rew,[status(thm),theory(equality)],[1210,6092,1215,1864,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1210.0,6092.0,1215.0,6092.0,1864.0,6092.0,1220.0,6092.0,1225.0,6092.0,1874.0,6092.0,1235.0,6092.0,1240.0,6092.0,1884.0,6092.0,1245.0,6092.0,1250.0,6092.0,1894.0,6092.0,1260.0,6092.0,1265.0,6092.0,1904.0,6092.0,1270.0,6092.0,1275.0,6092.0,1924.0,6092.0,1280.0,6092.0,1290.0,6092.0,1934.0,6092.0,1295.0,6092.0,1300.0,6092.0,1784.0,6092.0,1140.0,6092.0,1150.0,6092.0,1794.0,6092.0')] ).

cnf(6191,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,65]),
    [iquote('0:SpL:1160.0,65.0')] ).

cnf(6280,plain,
    ~ equal(index_57,index_282),
    inference(rew,[status(thm),theory(equality)],[1844,6191,1210,1215,1864,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1844.0,6191.0,1210.0,6191.0,1215.0,6191.0,1864.0,6191.0,1220.0,6191.0,1225.0,6191.0,1874.0,6191.0,1235.0,6191.0,1240.0,6191.0,1884.0,6191.0,1245.0,6191.0,1250.0,6191.0,1894.0,6191.0,1260.0,6191.0,1265.0,6191.0,1904.0,6191.0,1270.0,6191.0,1275.0,6191.0,1924.0,6191.0,1280.0,6191.0,1290.0,6191.0,1934.0,6191.0,1295.0,6191.0,1300.0,6191.0,1784.0,6191.0,1140.0,6191.0,1150.0,6191.0,1794.0,6191.0')] ).

cnf(6290,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,64]),
    [iquote('0:SpL:1160.0,64.0')] ).

cnf(6379,plain,
    ~ equal(index_57,index_288),
    inference(rew,[status(thm),theory(equality)],[1205,6290,1844,1210,1215,1864,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1205.0,6290.0,1844.0,6290.0,1210.0,6290.0,1215.0,6290.0,1864.0,6290.0,1220.0,6290.0,1225.0,6290.0,1874.0,6290.0,1235.0,6290.0,1240.0,6290.0,1884.0,6290.0,1245.0,6290.0,1250.0,6290.0,1894.0,6290.0,1260.0,6290.0,1265.0,6290.0,1904.0,6290.0,1270.0,6290.0,1275.0,6290.0,1924.0,6290.0,1280.0,6290.0,1290.0,6290.0,1934.0,6290.0,1295.0,6290.0,1300.0,6290.0,1784.0,6290.0,1140.0,6290.0,1150.0,6290.0,1794.0,6290.0')] ).

cnf(6389,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,63]),
    [iquote('0:SpL:1160.0,63.0')] ).

cnf(6478,plain,
    ~ equal(index_57,index_294),
    inference(rew,[status(thm),theory(equality)],[1200,6389,1205,1844,1210,1215,1864,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1200.0,6389.0,1205.0,6389.0,1844.0,6389.0,1210.0,6389.0,1215.0,6389.0,1864.0,6389.0,1220.0,6389.0,1225.0,6389.0,1874.0,6389.0,1235.0,6389.0,1240.0,6389.0,1884.0,6389.0,1245.0,6389.0,1250.0,6389.0,1894.0,6389.0,1260.0,6389.0,1265.0,6389.0,1904.0,6389.0,1270.0,6389.0,1275.0,6389.0,1924.0,6389.0,1280.0,6389.0,1290.0,6389.0,1934.0,6389.0,1295.0,6389.0,1300.0,6389.0,1784.0,6389.0,1140.0,6389.0,1150.0,6389.0,1794.0,6389.0')] ).

cnf(6488,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63))))))))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,62]),
    [iquote('0:SpL:1160.0,62.0')] ).

cnf(6577,plain,
    ~ equal(index_57,index_303),
    inference(rew,[status(thm),theory(equality)],[1834,6488,1200,1205,1844,1210,1215,1864,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1834.0,6488.0,1200.0,6488.0,1205.0,6488.0,1844.0,6488.0,1210.0,6488.0,1215.0,6488.0,1864.0,6488.0,1220.0,6488.0,1225.0,6488.0,1874.0,6488.0,1235.0,6488.0,1240.0,6488.0,1884.0,6488.0,1245.0,6488.0,1250.0,6488.0,1894.0,6488.0,1260.0,6488.0,1265.0,6488.0,1904.0,6488.0,1270.0,6488.0,1275.0,6488.0,1924.0,6488.0,1280.0,6488.0,1290.0,6488.0,1934.0,6488.0,1295.0,6488.0,1300.0,6488.0,1784.0,6488.0,1140.0,6488.0,1150.0,6488.0,1794.0,6488.0')] ).

cnf(6587,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_63)))))))))))))))))))))))))))))))),index_57),
    inference(spl,[status(thm),theory(equality)],[1160,61]),
    [iquote('0:SpL:1160.0,61.0')] ).

cnf(6676,plain,
    ~ equal(index_57,index_315),
    inference(rew,[status(thm),theory(equality)],[1195,6587,1834,1200,1205,1844,1210,1215,1864,1220,1225,1874,1235,1240,1884,1245,1250,1894,1260,1265,1904,1270,1275,1924,1280,1290,1934,1295,1300,1784,1140,1150,1794]),
    [iquote('0:Rew:1195.0,6587.0,1834.0,6587.0,1200.0,6587.0,1205.0,6587.0,1844.0,6587.0,1210.0,6587.0,1215.0,6587.0,1864.0,6587.0,1220.0,6587.0,1225.0,6587.0,1874.0,6587.0,1235.0,6587.0,1240.0,6587.0,1884.0,6587.0,1245.0,6587.0,1250.0,6587.0,1894.0,6587.0,1260.0,6587.0,1265.0,6587.0,1904.0,6587.0,1270.0,6587.0,1275.0,6587.0,1924.0,6587.0,1280.0,6587.0,1290.0,6587.0,1934.0,6587.0,1295.0,6587.0,1300.0,6587.0,1784.0,6587.0,1140.0,6587.0,1150.0,6587.0,1794.0,6587.0')] ).

cnf(11617,plain,
    ( equal(index_57,index_315)
    | equal(select(earray_304,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[4267,3186]),
    [iquote('0:SpR:4267.1,3186.0')] ).

cnf(11620,plain,
    equal(select(earray_304,index_57),elem_352),
    inference(mrr,[status(thm)],[11617,6676]),
    [iquote('0:MRR:11617.0,6676.0')] ).

cnf(11683,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(select(earray_73,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[4295,4260]),
    [iquote('0:SpR:4295.1,4260.1')] ).

cnf(11706,plain,
    ( equal(index_57,index_303)
    | equal(select(earray_295,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[4304,11620]),
    [iquote('0:SpR:4304.1,11620.0')] ).

cnf(11709,plain,
    equal(select(earray_295,index_57),elem_352),
    inference(mrr,[status(thm)],[11706,6577]),
    [iquote('0:MRR:11706.0,6577.0')] ).

cnf(11711,plain,
    ( equal(index_57,index_294)
    | equal(select(earray_289,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11709,4268]),
    [iquote('0:SpR:11709.0,4268.1')] ).

cnf(11712,plain,
    equal(select(earray_289,index_57),elem_352),
    inference(mrr,[status(thm)],[11711,6478]),
    [iquote('0:MRR:11711.0,6478.0')] ).

cnf(11714,plain,
    ( equal(index_57,index_288)
    | equal(select(earray_283,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11712,4269]),
    [iquote('0:SpR:11712.0,4269.1')] ).

cnf(11715,plain,
    equal(select(earray_283,index_57),elem_352),
    inference(mrr,[status(thm)],[11714,6379]),
    [iquote('0:MRR:11714.0,6379.0')] ).

cnf(11717,plain,
    ( equal(index_57,index_282)
    | equal(select(earray_274,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11715,4303]),
    [iquote('0:SpR:11715.0,4303.1')] ).

cnf(11718,plain,
    equal(select(earray_274,index_57),elem_352),
    inference(mrr,[status(thm)],[11717,6280]),
    [iquote('0:MRR:11717.0,6280.0')] ).

cnf(11720,plain,
    ( equal(index_57,index_273)
    | equal(select(earray_268,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11718,4270]),
    [iquote('0:SpR:11718.0,4270.1')] ).

cnf(11721,plain,
    equal(select(earray_268,index_57),elem_352),
    inference(mrr,[status(thm)],[11720,6181]),
    [iquote('0:MRR:11720.0,6181.0')] ).

cnf(11723,plain,
    ( equal(index_57,index_267)
    | equal(select(earray_262,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11721,4271]),
    [iquote('0:SpR:11721.0,4271.1')] ).

cnf(11724,plain,
    equal(select(earray_262,index_57),elem_352),
    inference(mrr,[status(thm)],[11723,6082]),
    [iquote('0:MRR:11723.0,6082.0')] ).

cnf(11726,plain,
    ( equal(index_57,index_261)
    | equal(select(earray_253,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11724,4302]),
    [iquote('0:SpR:11724.0,4302.1')] ).

cnf(11727,plain,
    equal(select(earray_253,index_57),elem_352),
    inference(mrr,[status(thm)],[11726,5983]),
    [iquote('0:MRR:11726.0,5983.0')] ).

cnf(11729,plain,
    ( equal(index_57,index_252)
    | equal(select(earray_247,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11727,4272]),
    [iquote('0:SpR:11727.0,4272.1')] ).

cnf(11730,plain,
    equal(select(earray_247,index_57),elem_352),
    inference(mrr,[status(thm)],[11729,5884]),
    [iquote('0:MRR:11729.0,5884.0')] ).

cnf(11732,plain,
    ( equal(index_57,index_246)
    | equal(select(earray_241,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11730,4273]),
    [iquote('0:SpR:11730.0,4273.1')] ).

cnf(11733,plain,
    equal(select(earray_241,index_57),elem_352),
    inference(mrr,[status(thm)],[11732,5785]),
    [iquote('0:MRR:11732.0,5785.0')] ).

cnf(11735,plain,
    ( equal(index_57,index_240)
    | equal(select(earray_226,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11733,4301]),
    [iquote('0:SpR:11733.0,4301.1')] ).

cnf(11736,plain,
    equal(select(earray_226,index_57),elem_352),
    inference(mrr,[status(thm)],[11735,5686]),
    [iquote('0:MRR:11735.0,5686.0')] ).

cnf(11738,plain,
    ( equal(index_57,index_225)
    | equal(select(earray_220,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11736,4275]),
    [iquote('0:SpR:11736.0,4275.1')] ).

cnf(11739,plain,
    equal(select(earray_220,index_57),elem_352),
    inference(mrr,[status(thm)],[11738,5587]),
    [iquote('0:MRR:11738.0,5587.0')] ).

cnf(11741,plain,
    ( equal(index_57,index_219)
    | equal(select(earray_214,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11739,4276]),
    [iquote('0:SpR:11739.0,4276.1')] ).

cnf(11742,plain,
    equal(select(earray_214,index_57),elem_352),
    inference(mrr,[status(thm)],[11741,5488]),
    [iquote('0:MRR:11741.0,5488.0')] ).

cnf(11744,plain,
    ( equal(index_57,index_213)
    | equal(select(earray_205,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11742,4300]),
    [iquote('0:SpR:11742.0,4300.1')] ).

cnf(11745,plain,
    equal(select(earray_205,index_57),elem_352),
    inference(mrr,[status(thm)],[11744,5389]),
    [iquote('0:MRR:11744.0,5389.0')] ).

cnf(11747,plain,
    ( equal(index_57,index_204)
    | equal(select(earray_199,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11745,4277]),
    [iquote('0:SpR:11745.0,4277.1')] ).

cnf(11748,plain,
    equal(select(earray_199,index_57),elem_352),
    inference(mrr,[status(thm)],[11747,5290]),
    [iquote('0:MRR:11747.0,5290.0')] ).

cnf(11750,plain,
    ( equal(index_57,index_198)
    | equal(select(earray_193,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11748,4278]),
    [iquote('0:SpR:11748.0,4278.1')] ).

cnf(11751,plain,
    equal(select(earray_193,index_57),elem_352),
    inference(mrr,[status(thm)],[11750,5191]),
    [iquote('0:MRR:11750.0,5191.0')] ).

cnf(11753,plain,
    ( equal(index_57,index_192)
    | equal(select(earray_184,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11751,4299]),
    [iquote('0:SpR:11751.0,4299.1')] ).

cnf(11754,plain,
    equal(select(earray_184,index_57),elem_352),
    inference(mrr,[status(thm)],[11753,5092]),
    [iquote('0:MRR:11753.0,5092.0')] ).

cnf(11756,plain,
    ( equal(index_57,index_183)
    | equal(select(earray_178,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11754,4280]),
    [iquote('0:SpR:11754.0,4280.1')] ).

cnf(11757,plain,
    equal(select(earray_178,index_57),elem_352),
    inference(mrr,[status(thm)],[11756,4953]),
    [iquote('0:MRR:11756.0,4953.0')] ).

cnf(11759,plain,
    ( equal(index_57,index_177)
    | equal(select(earray_172,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11757,4281]),
    [iquote('0:SpR:11757.0,4281.1')] ).

cnf(11760,plain,
    equal(select(earray_172,index_57),elem_352),
    inference(mrr,[status(thm)],[11759,4854]),
    [iquote('0:MRR:11759.0,4854.0')] ).

cnf(11762,plain,
    ( equal(index_57,index_171)
    | equal(select(earray_163,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11760,4298]),
    [iquote('0:SpR:11760.0,4298.1')] ).

cnf(11763,plain,
    equal(select(earray_163,index_57),elem_352),
    inference(mrr,[status(thm)],[11762,4755]),
    [iquote('0:MRR:11762.0,4755.0')] ).

cnf(11765,plain,
    ( equal(index_57,index_162)
    | equal(select(earray_148,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11763,4282]),
    [iquote('0:SpR:11763.0,4282.1')] ).

cnf(11766,plain,
    equal(select(earray_148,index_57),elem_352),
    inference(mrr,[status(thm)],[11765,4656]),
    [iquote('0:MRR:11765.0,4656.0')] ).

cnf(11768,plain,
    ( equal(index_57,index_147)
    | equal(select(earray_142,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11766,4283]),
    [iquote('0:SpR:11766.0,4283.1')] ).

cnf(11769,plain,
    equal(select(earray_142,index_57),elem_352),
    inference(mrr,[status(thm)],[11768,4557]),
    [iquote('0:MRR:11768.0,4557.0')] ).

cnf(11771,plain,
    ( equal(index_57,index_141)
    | equal(select(earray_133,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11769,4297]),
    [iquote('0:SpR:11769.0,4297.1')] ).

cnf(11772,plain,
    equal(select(earray_133,index_57),elem_352),
    inference(mrr,[status(thm)],[11771,4458]),
    [iquote('0:MRR:11771.0,4458.0')] ).

cnf(11774,plain,
    ( equal(index_57,index_132)
    | equal(select(earray_127,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11772,4284]),
    [iquote('0:SpR:11772.0,4284.1')] ).

cnf(11775,plain,
    equal(select(earray_127,index_57),elem_352),
    inference(mrr,[status(thm)],[11774,4359]),
    [iquote('0:MRR:11774.0,4359.0')] ).

cnf(11777,plain,
    ( equal(index_57,index_126)
    | equal(select(earray_121,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11775,4286]),
    [iquote('0:SpR:11775.0,4286.1')] ).

cnf(11778,plain,
    equal(select(earray_121,index_57),elem_352),
    inference(mrr,[status(thm)],[11777,4208]),
    [iquote('0:MRR:11777.0,4208.0')] ).

cnf(11780,plain,
    ( equal(index_57,index_120)
    | equal(select(earray_112,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11778,4296]),
    [iquote('0:SpR:11778.0,4296.1')] ).

cnf(11781,plain,
    equal(select(earray_112,index_57),elem_352),
    inference(mrr,[status(thm)],[11780,4109]),
    [iquote('0:MRR:11780.0,4109.0')] ).

cnf(11783,plain,
    ( equal(index_57,index_111)
    | equal(select(earray_106,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11781,4287]),
    [iquote('0:SpR:11781.0,4287.1')] ).

cnf(11784,plain,
    equal(select(earray_106,index_57),elem_352),
    inference(mrr,[status(thm)],[11783,4010]),
    [iquote('0:MRR:11783.0,4010.0')] ).

cnf(11786,plain,
    ( equal(index_57,index_105)
    | equal(select(earray_100,index_57),elem_352) ),
    inference(spr,[status(thm),theory(equality)],[11784,4288]),
    [iquote('0:SpR:11784.0,4288.1')] ).

cnf(11787,plain,
    equal(select(earray_100,index_57),elem_352),
    inference(mrr,[status(thm)],[11786,3911]),
    [iquote('0:MRR:11786.0,3911.0')] ).

cnf(11799,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(select(earray_64,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[11683,4294]),
    [iquote('0:SpR:11683.2,4294.1')] ).

cnf(11815,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(select(earray_58,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[11799,4261]),
    [iquote('0:SpR:11799.3,4261.1')] ).

cnf(11830,plain,
    ( equal(index_90,index_57)
    | equal(index_84,index_57)
    | equal(index_72,index_57)
    | equal(index_63,index_57)
    | equal(select(earray_98,index_57),e16) ),
    inference(spr,[status(thm),theory(equality)],[11815,3715]),
    [iquote('0:SpR:11815.4,3715.0')] ).

cnf(11833,plain,
    equal(select(earray_98,index_57),e16),
    inference(mrr,[status(thm)],[11830,3662,1950,1798,1162]),
    [iquote('0:MRR:11830.0,11830.1,11830.2,11830.3,3662.0,1950.0,1798.0,1162.0')] ).

cnf(11835,plain,
    ( equal(index_57,index_99)
    | equal(select(earray_100,index_57),e16) ),
    inference(spr,[status(thm),theory(equality)],[11833,4257]),
    [iquote('0:SpR:11833.0,4257.1')] ).

cnf(11836,plain,
    ( equal(index_57,index_99)
    | equal(elem_352,e16) ),
    inference(rew,[status(thm),theory(equality)],[11787,11835]),
    [iquote('0:Rew:11787.0,11835.1')] ).

cnf(11837,plain,
    $false,
    inference(mrr,[status(thm)],[11836,3812,498]),
    [iquote('0:MRR:11836.0,11836.1,3812.0,498.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV568-1.050 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 14:46:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 10.82/11.02  
% 10.82/11.02  SPASS V 3.9 
% 10.82/11.02  SPASS beiseite: Proof found.
% 10.82/11.02  % SZS status Theorem
% 10.82/11.02  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 10.82/11.02  SPASS derived 6842 clauses, backtracked 0 clauses, performed 0 splits and kept 5831 clauses.
% 10.82/11.02  SPASS allocated 76474 KBytes.
% 10.82/11.02  SPASS spent	0:0:10.65 on the problem.
% 10.82/11.02  		0:00:00.05 for the input.
% 10.82/11.02  		0:00:00.00 for the FLOTTER CNF translation.
% 10.82/11.02  		0:00:00.62 for inferences.
% 10.82/11.02  		0:00:00.00 for the backtracking.
% 10.82/11.02  		0:00:09.30 for the reduction.
% 10.82/11.02  
% 10.82/11.02  
% 10.82/11.02  Here is a proof with depth 29, length 1289 :
% 10.82/11.02  % SZS output start Refutation
% See solution above
% 11.43/11.61  Formulae used in the proof : a1 a2 a1_seq a1_head a1_tail a2_seq_head a2_seq_tail a2_head_tail a2_head_seq a2_tail_head as33 as32 as31 as30 as29 as28 as27 as26 as25 as24 as23 as22 as21 as20 as19 as18 as17 as16 as15 as14 as13 as12 as11 as10 as9 as8 as7 as6 as5 as4 as3 as2 as1 hyp1 hyp2 hyp3 hyp4 hyp5 hyp6 hyp7 hyp8 hyp9 hyp10 hyp11 hyp13 hyp14 hyp15 hyp16 hyp20 hyp21 hyp22 hyp23 hyp24 hyp25 hyp26 hyp27 hyp28 hyp29 hyp30 hyp31 hyp34 hyp35 hyp36 hyp37 hyp38 hyp40 hyp41 hyp42 hyp45 hyp46 hyp47 hyp48 hyp49 hyp50 hyp51 hyp52 hyp53 hyp54 hyp55 hyp56 hyp57 hyp58 hyp59 hyp60 hyp62 hyp63 hyp64 hyp65 hyp69 hyp70 hyp80 hyp87 hyp88 hyp89 hyp90 hyp91 hyp92 hyp96 hyp97 hyp98 hyp99 hyp100 hyp101 hyp102 hyp103 hyp104 hyp105 hyp106 hyp107 hyp108 hyp109 hyp110 hyp111 hyp112 hyp113 hyp114 hyp115 hyp116 hyp117 hyp118 hyp119 hyp120 hyp121 hyp122 hyp123 hyp124 hyp125 hyp126 hyp127 hyp128 hyp129 hyp130 hyp131 hyp132 hyp133 hyp134 hyp135 hyp136 hyp137 hyp138 hyp139 hyp140 hyp141 hyp142 hyp143 hyp144 hyp145 hyp146 hyp147 hyp148 hyp149 hyp150 hyp151 hyp152 hyp153 hyp154 hyp155 hyp156 hyp157 hyp158 hyp159 hyp160 hyp161 hyp162 hyp163 hyp164 hyp165 hyp166 hyp167 hyp168 hyp169 hyp170 hyp171 hyp172 hyp173 hyp174 hyp175 hyp176 hyp177 hyp178 hyp179 hyp180 hyp181 hyp182 hyp183 hyp184 hyp185 hyp186 hyp187 hyp188 hyp189 hyp190 hyp191 hyp192 hyp193 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 hyp352 hyp353 hyp354 hyp355 hyp356 hyp357 hyp358 hyp359 hyp360 hyp361 hyp362 hyp363 hyp364 hyp365 hyp366 hyp367 hyp368 hyp369 hyp370 hyp371 hyp372 hyp373 hyp374 hyp375 hyp376 hyp377 hyp378 hyp379 hyp380 hyp381 hyp382 hyp383 hyp384 hyp385 hyp386 hyp387 hyp388 hyp389 hyp390 hyp391 hyp392 hyp393 hyp394 hyp395 hyp396 hyp397 hyp398 hyp399 hyp400 hyp401 hyp402 hyp403 goal
% 11.43/11.61  
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