TSTP Solution File: SWV571-1.046 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV571-1.046 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:44:24 EDT 2022
% Result : Unsatisfiable 1.64s 1.86s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 249
% Syntax : Number of clauses : 881 ( 685 unt; 196 nHn; 881 RR)
% Number of literals : 1170 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 299 ( 299 usr; 295 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(select(store(u,v,w),v),w),
file('SWV571-1.046.p',unknown),
[] ).
cnf(2,axiom,
( equal(u,v)
| equal(select(store(w,u,x),v),select(w,v)) ),
file('SWV571-1.046.p',unknown),
[] ).
cnf(3,axiom,
~ equal(tail,head),
file('SWV571-1.046.p',unknown),
[] ).
cnf(4,axiom,
~ equal(seq,head),
file('SWV571-1.046.p',unknown),
[] ).
cnf(5,axiom,
~ equal(seq,tail),
file('SWV571-1.046.p',unknown),
[] ).
cnf(6,axiom,
equal(p(s(u)),u),
file('SWV571-1.046.p',unknown),
[] ).
cnf(10,axiom,
equal(s(s(s(u))),u),
file('SWV571-1.046.p',unknown),
[] ).
cnf(64,axiom,
equal(select(q45,seq),earray_242),
file('SWV571-1.046.p',unknown),
[] ).
cnf(65,axiom,
equal(store(earray_242,index_243,e45),earray_244),
file('SWV571-1.046.p',unknown),
[] ).
cnf(77,axiom,
equal(select(q46,seq),earray_278),
file('SWV571-1.046.p',unknown),
[] ).
cnf(104,axiom,
equal(select(earray_278,index_279),elem_280),
file('SWV571-1.046.p',unknown),
[] ).
cnf(105,axiom,
equal(select(earray_278,index_282),elem_283),
file('SWV571-1.046.p',unknown),
[] ).
cnf(106,axiom,
equal(select(q,tail),index_0),
file('SWV571-1.046.p',unknown),
[] ).
cnf(107,axiom,
equal(s(index_99),index_102),
file('SWV571-1.046.p',unknown),
[] ).
cnf(108,axiom,
equal(select(q24,tail),index_105),
file('SWV571-1.046.p',unknown),
[] ).
cnf(109,axiom,
equal(s(index_105),index_108),
file('SWV571-1.046.p',unknown),
[] ).
cnf(110,axiom,
equal(select(q25,tail),index_111),
file('SWV571-1.046.p',unknown),
[] ).
cnf(111,axiom,
equal(s(index_111),index_114),
file('SWV571-1.046.p',unknown),
[] ).
cnf(112,axiom,
equal(select(q26,tail),index_117),
file('SWV571-1.046.p',unknown),
[] ).
cnf(113,axiom,
equal(s(index_9),index_12),
file('SWV571-1.046.p',unknown),
[] ).
cnf(114,axiom,
equal(s(index_117),index_120),
file('SWV571-1.046.p',unknown),
[] ).
cnf(115,axiom,
equal(select(q27,tail),index_123),
file('SWV571-1.046.p',unknown),
[] ).
cnf(116,axiom,
equal(s(index_123),index_126),
file('SWV571-1.046.p',unknown),
[] ).
cnf(117,axiom,
equal(select(q28,tail),index_129),
file('SWV571-1.046.p',unknown),
[] ).
cnf(118,axiom,
equal(s(index_129),index_132),
file('SWV571-1.046.p',unknown),
[] ).
cnf(119,axiom,
equal(select(q2,tail),index_135),
file('SWV571-1.046.p',unknown),
[] ).
cnf(120,axiom,
equal(s(index_135),index_138),
file('SWV571-1.046.p',unknown),
[] ).
cnf(121,axiom,
equal(select(q29,tail),index_141),
file('SWV571-1.046.p',unknown),
[] ).
cnf(122,axiom,
equal(s(index_141),index_144),
file('SWV571-1.046.p',unknown),
[] ).
cnf(123,axiom,
equal(select(q30,tail),index_147),
file('SWV571-1.046.p',unknown),
[] ).
cnf(124,axiom,
equal(select(q10,tail),index_15),
file('SWV571-1.046.p',unknown),
[] ).
cnf(125,axiom,
equal(s(index_147),index_150),
file('SWV571-1.046.p',unknown),
[] ).
cnf(126,axiom,
equal(select(q31,tail),index_153),
file('SWV571-1.046.p',unknown),
[] ).
cnf(127,axiom,
equal(s(index_153),index_156),
file('SWV571-1.046.p',unknown),
[] ).
cnf(128,axiom,
equal(select(q32,tail),index_159),
file('SWV571-1.046.p',unknown),
[] ).
cnf(129,axiom,
equal(s(index_159),index_162),
file('SWV571-1.046.p',unknown),
[] ).
cnf(130,axiom,
equal(select(q33,tail),index_165),
file('SWV571-1.046.p',unknown),
[] ).
cnf(131,axiom,
equal(s(index_165),index_168),
file('SWV571-1.046.p',unknown),
[] ).
cnf(132,axiom,
equal(select(q34,tail),index_171),
file('SWV571-1.046.p',unknown),
[] ).
cnf(133,axiom,
equal(s(index_171),index_174),
file('SWV571-1.046.p',unknown),
[] ).
cnf(134,axiom,
equal(select(q35,tail),index_177),
file('SWV571-1.046.p',unknown),
[] ).
cnf(135,axiom,
equal(s(index_15),index_18),
file('SWV571-1.046.p',unknown),
[] ).
cnf(136,axiom,
equal(s(index_177),index_180),
file('SWV571-1.046.p',unknown),
[] ).
cnf(137,axiom,
equal(select(q36,tail),index_183),
file('SWV571-1.046.p',unknown),
[] ).
cnf(138,axiom,
equal(s(index_183),index_186),
file('SWV571-1.046.p',unknown),
[] ).
cnf(139,axiom,
equal(select(q37,tail),index_189),
file('SWV571-1.046.p',unknown),
[] ).
cnf(140,axiom,
equal(s(index_189),index_192),
file('SWV571-1.046.p',unknown),
[] ).
cnf(141,axiom,
equal(select(q38,tail),index_195),
file('SWV571-1.046.p',unknown),
[] ).
cnf(142,axiom,
equal(s(index_195),index_198),
file('SWV571-1.046.p',unknown),
[] ).
cnf(143,axiom,
equal(select(q3,tail),index_201),
file('SWV571-1.046.p',unknown),
[] ).
cnf(144,axiom,
equal(s(index_201),index_204),
file('SWV571-1.046.p',unknown),
[] ).
cnf(145,axiom,
equal(select(q39,tail),index_207),
file('SWV571-1.046.p',unknown),
[] ).
cnf(146,axiom,
equal(select(q11,tail),index_21),
file('SWV571-1.046.p',unknown),
[] ).
cnf(147,axiom,
equal(s(index_207),index_210),
file('SWV571-1.046.p',unknown),
[] ).
cnf(148,axiom,
equal(select(q40,tail),index_213),
file('SWV571-1.046.p',unknown),
[] ).
cnf(149,axiom,
equal(s(index_213),index_216),
file('SWV571-1.046.p',unknown),
[] ).
cnf(150,axiom,
equal(select(q41,tail),index_219),
file('SWV571-1.046.p',unknown),
[] ).
cnf(151,axiom,
equal(s(index_219),index_222),
file('SWV571-1.046.p',unknown),
[] ).
cnf(152,axiom,
equal(select(q42,tail),index_225),
file('SWV571-1.046.p',unknown),
[] ).
cnf(153,axiom,
equal(s(index_225),index_228),
file('SWV571-1.046.p',unknown),
[] ).
cnf(154,axiom,
equal(select(q43,tail),index_231),
file('SWV571-1.046.p',unknown),
[] ).
cnf(155,axiom,
equal(s(index_231),index_234),
file('SWV571-1.046.p',unknown),
[] ).
cnf(156,axiom,
equal(select(q44,tail),index_237),
file('SWV571-1.046.p',unknown),
[] ).
cnf(157,axiom,
equal(s(index_21),index_24),
file('SWV571-1.046.p',unknown),
[] ).
cnf(158,axiom,
equal(s(index_237),index_240),
file('SWV571-1.046.p',unknown),
[] ).
cnf(159,axiom,
equal(select(q45,tail),index_243),
file('SWV571-1.046.p',unknown),
[] ).
cnf(160,axiom,
equal(s(index_243),index_246),
file('SWV571-1.046.p',unknown),
[] ).
cnf(161,axiom,
equal(select(q4,tail),index_249),
file('SWV571-1.046.p',unknown),
[] ).
cnf(162,axiom,
equal(s(index_249),index_252),
file('SWV571-1.046.p',unknown),
[] ).
cnf(163,axiom,
equal(select(q5,tail),index_255),
file('SWV571-1.046.p',unknown),
[] ).
cnf(164,axiom,
equal(s(index_255),index_258),
file('SWV571-1.046.p',unknown),
[] ).
cnf(165,axiom,
equal(select(q6,tail),index_261),
file('SWV571-1.046.p',unknown),
[] ).
cnf(166,axiom,
equal(s(index_261),index_264),
file('SWV571-1.046.p',unknown),
[] ).
cnf(167,axiom,
equal(select(q7,tail),index_267),
file('SWV571-1.046.p',unknown),
[] ).
cnf(168,axiom,
equal(select(q12,tail),index_27),
file('SWV571-1.046.p',unknown),
[] ).
cnf(169,axiom,
equal(s(index_267),index_270),
file('SWV571-1.046.p',unknown),
[] ).
cnf(170,axiom,
equal(select(q8,tail),index_273),
file('SWV571-1.046.p',unknown),
[] ).
cnf(171,axiom,
equal(s(index_273),index_276),
file('SWV571-1.046.p',unknown),
[] ).
cnf(172,axiom,
equal(select(q46,head),index_279),
file('SWV571-1.046.p',unknown),
[] ).
cnf(173,axiom,
equal(select(q46,tail),index_281),
file('SWV571-1.046.p',unknown),
[] ).
cnf(174,axiom,
equal(s(index_282),index_281),
file('SWV571-1.046.p',unknown),
[] ).
cnf(175,axiom,
equal(select(q0,tail),index_3),
file('SWV571-1.046.p',unknown),
[] ).
cnf(176,axiom,
equal(s(index_27),index_30),
file('SWV571-1.046.p',unknown),
[] ).
cnf(177,axiom,
equal(select(q13,tail),index_33),
file('SWV571-1.046.p',unknown),
[] ).
cnf(178,axiom,
equal(s(index_33),index_36),
file('SWV571-1.046.p',unknown),
[] ).
cnf(179,axiom,
equal(select(q14,tail),index_39),
file('SWV571-1.046.p',unknown),
[] ).
cnf(180,axiom,
equal(s(index_39),index_42),
file('SWV571-1.046.p',unknown),
[] ).
cnf(181,axiom,
equal(select(q15,tail),index_45),
file('SWV571-1.046.p',unknown),
[] ).
cnf(182,axiom,
equal(s(index_45),index_48),
file('SWV571-1.046.p',unknown),
[] ).
cnf(183,axiom,
equal(select(q16,tail),index_51),
file('SWV571-1.046.p',unknown),
[] ).
cnf(184,axiom,
equal(s(index_51),index_54),
file('SWV571-1.046.p',unknown),
[] ).
cnf(185,axiom,
equal(select(q17,tail),index_57),
file('SWV571-1.046.p',unknown),
[] ).
cnf(186,axiom,
equal(s(index_3),index_6),
file('SWV571-1.046.p',unknown),
[] ).
cnf(187,axiom,
equal(s(index_57),index_60),
file('SWV571-1.046.p',unknown),
[] ).
cnf(188,axiom,
equal(select(q18,tail),index_63),
file('SWV571-1.046.p',unknown),
[] ).
cnf(189,axiom,
equal(s(index_63),index_66),
file('SWV571-1.046.p',unknown),
[] ).
cnf(190,axiom,
equal(select(q1,tail),index_69),
file('SWV571-1.046.p',unknown),
[] ).
cnf(191,axiom,
equal(s(index_69),index_72),
file('SWV571-1.046.p',unknown),
[] ).
cnf(192,axiom,
equal(select(q19,tail),index_75),
file('SWV571-1.046.p',unknown),
[] ).
cnf(193,axiom,
equal(s(index_75),index_78),
file('SWV571-1.046.p',unknown),
[] ).
cnf(194,axiom,
equal(select(q20,tail),index_81),
file('SWV571-1.046.p',unknown),
[] ).
cnf(195,axiom,
equal(s(index_81),index_84),
file('SWV571-1.046.p',unknown),
[] ).
cnf(196,axiom,
equal(select(q21,tail),index_87),
file('SWV571-1.046.p',unknown),
[] ).
cnf(197,axiom,
equal(select(q9,tail),index_9),
file('SWV571-1.046.p',unknown),
[] ).
cnf(198,axiom,
equal(s(index_87),index_90),
file('SWV571-1.046.p',unknown),
[] ).
cnf(199,axiom,
equal(select(q22,tail),index_93),
file('SWV571-1.046.p',unknown),
[] ).
cnf(200,axiom,
equal(s(index_93),index_96),
file('SWV571-1.046.p',unknown),
[] ).
cnf(201,axiom,
equal(select(q23,tail),index_99),
file('SWV571-1.046.p',unknown),
[] ).
cnf(202,axiom,
equal(store(q,head,index_0),queue_1),
file('SWV571-1.046.p',unknown),
[] ).
cnf(203,axiom,
equal(store(q23,seq,earray_100),queue_101),
file('SWV571-1.046.p',unknown),
[] ).
cnf(204,axiom,
equal(store(queue_101,tail,index_102),queue_103),
file('SWV571-1.046.p',unknown),
[] ).
cnf(205,axiom,
equal(store(q24,seq,earray_106),queue_107),
file('SWV571-1.046.p',unknown),
[] ).
cnf(206,axiom,
equal(store(queue_107,tail,index_108),queue_109),
file('SWV571-1.046.p',unknown),
[] ).
cnf(207,axiom,
equal(store(q9,seq,earray_10),queue_11),
file('SWV571-1.046.p',unknown),
[] ).
cnf(208,axiom,
equal(store(q25,seq,earray_112),queue_113),
file('SWV571-1.046.p',unknown),
[] ).
cnf(209,axiom,
equal(store(queue_113,tail,index_114),queue_115),
file('SWV571-1.046.p',unknown),
[] ).
cnf(210,axiom,
equal(store(q26,seq,earray_118),queue_119),
file('SWV571-1.046.p',unknown),
[] ).
cnf(211,axiom,
equal(store(queue_119,tail,index_120),queue_121),
file('SWV571-1.046.p',unknown),
[] ).
cnf(212,axiom,
equal(store(q27,seq,earray_124),queue_125),
file('SWV571-1.046.p',unknown),
[] ).
cnf(213,axiom,
equal(store(queue_125,tail,index_126),queue_127),
file('SWV571-1.046.p',unknown),
[] ).
cnf(214,axiom,
equal(store(queue_11,tail,index_12),queue_13),
file('SWV571-1.046.p',unknown),
[] ).
cnf(215,axiom,
equal(store(q28,seq,earray_130),queue_131),
file('SWV571-1.046.p',unknown),
[] ).
cnf(216,axiom,
equal(store(queue_131,tail,index_132),queue_133),
file('SWV571-1.046.p',unknown),
[] ).
cnf(217,axiom,
equal(store(q2,seq,earray_136),queue_137),
file('SWV571-1.046.p',unknown),
[] ).
cnf(218,axiom,
equal(store(queue_137,tail,index_138),queue_139),
file('SWV571-1.046.p',unknown),
[] ).
cnf(219,axiom,
equal(store(q29,seq,earray_142),queue_143),
file('SWV571-1.046.p',unknown),
[] ).
cnf(220,axiom,
equal(store(queue_143,tail,index_144),queue_145),
file('SWV571-1.046.p',unknown),
[] ).
cnf(221,axiom,
equal(store(q30,seq,earray_148),queue_149),
file('SWV571-1.046.p',unknown),
[] ).
cnf(222,axiom,
equal(store(queue_149,tail,index_150),queue_151),
file('SWV571-1.046.p',unknown),
[] ).
cnf(223,axiom,
equal(store(q31,seq,earray_154),queue_155),
file('SWV571-1.046.p',unknown),
[] ).
cnf(224,axiom,
equal(store(queue_155,tail,index_156),queue_157),
file('SWV571-1.046.p',unknown),
[] ).
cnf(225,axiom,
equal(store(q32,seq,earray_160),queue_161),
file('SWV571-1.046.p',unknown),
[] ).
cnf(226,axiom,
equal(store(queue_161,tail,index_162),queue_163),
file('SWV571-1.046.p',unknown),
[] ).
cnf(227,axiom,
equal(store(q33,seq,earray_166),queue_167),
file('SWV571-1.046.p',unknown),
[] ).
cnf(228,axiom,
equal(store(queue_167,tail,index_168),queue_169),
file('SWV571-1.046.p',unknown),
[] ).
cnf(229,axiom,
equal(store(q10,seq,earray_16),queue_17),
file('SWV571-1.046.p',unknown),
[] ).
cnf(230,axiom,
equal(store(q34,seq,earray_172),queue_173),
file('SWV571-1.046.p',unknown),
[] ).
cnf(231,axiom,
equal(store(queue_173,tail,index_174),queue_175),
file('SWV571-1.046.p',unknown),
[] ).
cnf(232,axiom,
equal(store(q35,seq,earray_178),queue_179),
file('SWV571-1.046.p',unknown),
[] ).
cnf(233,axiom,
equal(store(queue_179,tail,index_180),queue_181),
file('SWV571-1.046.p',unknown),
[] ).
cnf(234,axiom,
equal(store(q36,seq,earray_184),queue_185),
file('SWV571-1.046.p',unknown),
[] ).
cnf(235,axiom,
equal(store(queue_185,tail,index_186),queue_187),
file('SWV571-1.046.p',unknown),
[] ).
cnf(236,axiom,
equal(store(queue_17,tail,index_18),queue_19),
file('SWV571-1.046.p',unknown),
[] ).
cnf(237,axiom,
equal(store(q37,seq,earray_190),queue_191),
file('SWV571-1.046.p',unknown),
[] ).
cnf(238,axiom,
equal(store(queue_191,tail,index_192),queue_193),
file('SWV571-1.046.p',unknown),
[] ).
cnf(239,axiom,
equal(store(q38,seq,earray_196),queue_197),
file('SWV571-1.046.p',unknown),
[] ).
cnf(240,axiom,
equal(store(queue_197,tail,index_198),queue_199),
file('SWV571-1.046.p',unknown),
[] ).
cnf(241,axiom,
equal(store(q3,seq,earray_202),queue_203),
file('SWV571-1.046.p',unknown),
[] ).
cnf(242,axiom,
equal(store(queue_203,tail,index_204),queue_205),
file('SWV571-1.046.p',unknown),
[] ).
cnf(243,axiom,
equal(store(q39,seq,earray_208),queue_209),
file('SWV571-1.046.p',unknown),
[] ).
cnf(244,axiom,
equal(store(queue_209,tail,index_210),queue_211),
file('SWV571-1.046.p',unknown),
[] ).
cnf(245,axiom,
equal(store(q40,seq,earray_214),queue_215),
file('SWV571-1.046.p',unknown),
[] ).
cnf(246,axiom,
equal(store(queue_215,tail,index_216),queue_217),
file('SWV571-1.046.p',unknown),
[] ).
cnf(247,axiom,
equal(store(q41,seq,earray_220),queue_221),
file('SWV571-1.046.p',unknown),
[] ).
cnf(248,axiom,
equal(store(queue_221,tail,index_222),queue_223),
file('SWV571-1.046.p',unknown),
[] ).
cnf(249,axiom,
equal(store(q42,seq,earray_226),queue_227),
file('SWV571-1.046.p',unknown),
[] ).
cnf(250,axiom,
equal(store(queue_227,tail,index_228),queue_229),
file('SWV571-1.046.p',unknown),
[] ).
cnf(251,axiom,
equal(store(q11,seq,earray_22),queue_23),
file('SWV571-1.046.p',unknown),
[] ).
cnf(252,axiom,
equal(store(q43,seq,earray_232),queue_233),
file('SWV571-1.046.p',unknown),
[] ).
cnf(253,axiom,
equal(store(queue_233,tail,index_234),queue_235),
file('SWV571-1.046.p',unknown),
[] ).
cnf(254,axiom,
equal(store(q44,seq,earray_238),queue_239),
file('SWV571-1.046.p',unknown),
[] ).
cnf(255,axiom,
equal(store(queue_239,tail,index_240),queue_241),
file('SWV571-1.046.p',unknown),
[] ).
cnf(256,axiom,
equal(store(q45,seq,earray_244),queue_245),
file('SWV571-1.046.p',unknown),
[] ).
cnf(257,axiom,
equal(store(queue_245,tail,index_246),queue_247),
file('SWV571-1.046.p',unknown),
[] ).
cnf(258,axiom,
equal(store(queue_23,tail,index_24),queue_25),
file('SWV571-1.046.p',unknown),
[] ).
cnf(259,axiom,
equal(store(q4,seq,earray_250),queue_251),
file('SWV571-1.046.p',unknown),
[] ).
cnf(260,axiom,
equal(store(queue_251,tail,index_252),queue_253),
file('SWV571-1.046.p',unknown),
[] ).
cnf(261,axiom,
equal(store(q5,seq,earray_256),queue_257),
file('SWV571-1.046.p',unknown),
[] ).
cnf(262,axiom,
equal(store(queue_257,tail,index_258),queue_259),
file('SWV571-1.046.p',unknown),
[] ).
cnf(263,axiom,
equal(store(q6,seq,earray_262),queue_263),
file('SWV571-1.046.p',unknown),
[] ).
cnf(264,axiom,
equal(store(queue_263,tail,index_264),queue_265),
file('SWV571-1.046.p',unknown),
[] ).
cnf(265,axiom,
equal(store(q7,seq,earray_268),queue_269),
file('SWV571-1.046.p',unknown),
[] ).
cnf(266,axiom,
equal(store(queue_269,tail,index_270),queue_271),
file('SWV571-1.046.p',unknown),
[] ).
cnf(267,axiom,
equal(store(q8,seq,earray_274),queue_275),
file('SWV571-1.046.p',unknown),
[] ).
cnf(268,axiom,
equal(store(queue_275,tail,index_276),queue_277),
file('SWV571-1.046.p',unknown),
[] ).
cnf(269,axiom,
equal(store(q12,seq,earray_28),queue_29),
file('SWV571-1.046.p',unknown),
[] ).
cnf(270,axiom,
equal(store(queue_29,tail,index_30),queue_31),
file('SWV571-1.046.p',unknown),
[] ).
cnf(271,axiom,
equal(store(q13,seq,earray_34),queue_35),
file('SWV571-1.046.p',unknown),
[] ).
cnf(272,axiom,
equal(store(queue_35,tail,index_36),queue_37),
file('SWV571-1.046.p',unknown),
[] ).
cnf(273,axiom,
equal(store(q14,seq,earray_40),queue_41),
file('SWV571-1.046.p',unknown),
[] ).
cnf(274,axiom,
equal(store(queue_41,tail,index_42),queue_43),
file('SWV571-1.046.p',unknown),
[] ).
cnf(275,axiom,
equal(store(q15,seq,earray_46),queue_47),
file('SWV571-1.046.p',unknown),
[] ).
cnf(276,axiom,
equal(store(queue_47,tail,index_48),queue_49),
file('SWV571-1.046.p',unknown),
[] ).
cnf(277,axiom,
equal(store(q0,seq,earray_4),queue_5),
file('SWV571-1.046.p',unknown),
[] ).
cnf(278,axiom,
equal(store(q16,seq,earray_52),queue_53),
file('SWV571-1.046.p',unknown),
[] ).
cnf(279,axiom,
equal(store(queue_53,tail,index_54),queue_55),
file('SWV571-1.046.p',unknown),
[] ).
cnf(280,axiom,
equal(store(q17,seq,earray_58),queue_59),
file('SWV571-1.046.p',unknown),
[] ).
cnf(281,axiom,
equal(store(queue_59,tail,index_60),queue_61),
file('SWV571-1.046.p',unknown),
[] ).
cnf(282,axiom,
equal(store(q18,seq,earray_64),queue_65),
file('SWV571-1.046.p',unknown),
[] ).
cnf(283,axiom,
equal(store(queue_65,tail,index_66),queue_67),
file('SWV571-1.046.p',unknown),
[] ).
cnf(284,axiom,
equal(store(queue_5,tail,index_6),queue_7),
file('SWV571-1.046.p',unknown),
[] ).
cnf(285,axiom,
equal(store(q1,seq,earray_70),queue_71),
file('SWV571-1.046.p',unknown),
[] ).
cnf(286,axiom,
equal(store(queue_71,tail,index_72),queue_73),
file('SWV571-1.046.p',unknown),
[] ).
cnf(287,axiom,
equal(store(q19,seq,earray_76),queue_77),
file('SWV571-1.046.p',unknown),
[] ).
cnf(288,axiom,
equal(store(queue_77,tail,index_78),queue_79),
file('SWV571-1.046.p',unknown),
[] ).
cnf(289,axiom,
equal(store(q20,seq,earray_82),queue_83),
file('SWV571-1.046.p',unknown),
[] ).
cnf(290,axiom,
equal(store(queue_83,tail,index_84),queue_85),
file('SWV571-1.046.p',unknown),
[] ).
cnf(291,axiom,
equal(store(q21,seq,earray_88),queue_89),
file('SWV571-1.046.p',unknown),
[] ).
cnf(292,axiom,
equal(store(queue_89,tail,index_90),queue_91),
file('SWV571-1.046.p',unknown),
[] ).
cnf(293,axiom,
equal(store(q22,seq,earray_94),queue_95),
file('SWV571-1.046.p',unknown),
[] ).
cnf(294,axiom,
equal(store(queue_95,tail,index_96),queue_97),
file('SWV571-1.046.p',unknown),
[] ).
cnf(295,axiom,
equal(queue_1,q0),
file('SWV571-1.046.p',unknown),
[] ).
cnf(296,axiom,
equal(queue_7,q1),
file('SWV571-1.046.p',unknown),
[] ).
cnf(297,axiom,
equal(queue_13,q10),
file('SWV571-1.046.p',unknown),
[] ).
cnf(298,axiom,
equal(queue_19,q11),
file('SWV571-1.046.p',unknown),
[] ).
cnf(299,axiom,
equal(queue_25,q12),
file('SWV571-1.046.p',unknown),
[] ).
cnf(300,axiom,
equal(queue_31,q13),
file('SWV571-1.046.p',unknown),
[] ).
cnf(301,axiom,
equal(queue_37,q14),
file('SWV571-1.046.p',unknown),
[] ).
cnf(302,axiom,
equal(queue_43,q15),
file('SWV571-1.046.p',unknown),
[] ).
cnf(303,axiom,
equal(queue_49,q16),
file('SWV571-1.046.p',unknown),
[] ).
cnf(304,axiom,
equal(queue_55,q17),
file('SWV571-1.046.p',unknown),
[] ).
cnf(305,axiom,
equal(queue_61,q18),
file('SWV571-1.046.p',unknown),
[] ).
cnf(306,axiom,
equal(queue_67,q19),
file('SWV571-1.046.p',unknown),
[] ).
cnf(307,axiom,
equal(queue_73,q2),
file('SWV571-1.046.p',unknown),
[] ).
cnf(308,axiom,
equal(queue_79,q20),
file('SWV571-1.046.p',unknown),
[] ).
cnf(309,axiom,
equal(queue_85,q21),
file('SWV571-1.046.p',unknown),
[] ).
cnf(310,axiom,
equal(queue_91,q22),
file('SWV571-1.046.p',unknown),
[] ).
cnf(311,axiom,
equal(queue_97,q23),
file('SWV571-1.046.p',unknown),
[] ).
cnf(312,axiom,
equal(queue_103,q24),
file('SWV571-1.046.p',unknown),
[] ).
cnf(313,axiom,
equal(queue_109,q25),
file('SWV571-1.046.p',unknown),
[] ).
cnf(314,axiom,
equal(queue_115,q26),
file('SWV571-1.046.p',unknown),
[] ).
cnf(315,axiom,
equal(queue_121,q27),
file('SWV571-1.046.p',unknown),
[] ).
cnf(316,axiom,
equal(queue_127,q28),
file('SWV571-1.046.p',unknown),
[] ).
cnf(317,axiom,
equal(queue_133,q29),
file('SWV571-1.046.p',unknown),
[] ).
cnf(318,axiom,
equal(queue_139,q3),
file('SWV571-1.046.p',unknown),
[] ).
cnf(319,axiom,
equal(queue_145,q30),
file('SWV571-1.046.p',unknown),
[] ).
cnf(320,axiom,
equal(queue_151,q31),
file('SWV571-1.046.p',unknown),
[] ).
cnf(321,axiom,
equal(queue_157,q32),
file('SWV571-1.046.p',unknown),
[] ).
cnf(322,axiom,
equal(queue_163,q33),
file('SWV571-1.046.p',unknown),
[] ).
cnf(323,axiom,
equal(queue_169,q34),
file('SWV571-1.046.p',unknown),
[] ).
cnf(324,axiom,
equal(queue_175,q35),
file('SWV571-1.046.p',unknown),
[] ).
cnf(325,axiom,
equal(queue_181,q36),
file('SWV571-1.046.p',unknown),
[] ).
cnf(326,axiom,
equal(queue_187,q37),
file('SWV571-1.046.p',unknown),
[] ).
cnf(327,axiom,
equal(queue_193,q38),
file('SWV571-1.046.p',unknown),
[] ).
cnf(328,axiom,
equal(queue_199,q39),
file('SWV571-1.046.p',unknown),
[] ).
cnf(329,axiom,
equal(queue_205,q4),
file('SWV571-1.046.p',unknown),
[] ).
cnf(330,axiom,
equal(queue_211,q40),
file('SWV571-1.046.p',unknown),
[] ).
cnf(331,axiom,
equal(queue_217,q41),
file('SWV571-1.046.p',unknown),
[] ).
cnf(332,axiom,
equal(queue_223,q42),
file('SWV571-1.046.p',unknown),
[] ).
cnf(333,axiom,
equal(queue_229,q43),
file('SWV571-1.046.p',unknown),
[] ).
cnf(334,axiom,
equal(queue_235,q44),
file('SWV571-1.046.p',unknown),
[] ).
cnf(335,axiom,
equal(queue_241,q45),
file('SWV571-1.046.p',unknown),
[] ).
cnf(336,axiom,
equal(queue_247,q46),
file('SWV571-1.046.p',unknown),
[] ).
cnf(337,axiom,
equal(queue_253,q5),
file('SWV571-1.046.p',unknown),
[] ).
cnf(338,axiom,
equal(queue_259,q6),
file('SWV571-1.046.p',unknown),
[] ).
cnf(339,axiom,
equal(queue_265,q7),
file('SWV571-1.046.p',unknown),
[] ).
cnf(340,axiom,
equal(queue_271,q8),
file('SWV571-1.046.p',unknown),
[] ).
cnf(341,axiom,
equal(queue_277,q9),
file('SWV571-1.046.p',unknown),
[] ).
cnf(342,axiom,
~ equal(elem_283,elem_280),
file('SWV571-1.046.p',unknown),
[] ).
cnf(343,plain,
equal(store(queue_95,tail,index_96),q23),
inference(rew,[status(thm),theory(equality)],[311,294]),
[iquote('0:Rew:311.0,294.0')] ).
cnf(344,plain,
equal(store(queue_89,tail,index_90),q22),
inference(rew,[status(thm),theory(equality)],[310,292]),
[iquote('0:Rew:310.0,292.0')] ).
cnf(345,plain,
equal(store(queue_83,tail,index_84),q21),
inference(rew,[status(thm),theory(equality)],[309,290]),
[iquote('0:Rew:309.0,290.0')] ).
cnf(346,plain,
equal(store(queue_77,tail,index_78),q20),
inference(rew,[status(thm),theory(equality)],[308,288]),
[iquote('0:Rew:308.0,288.0')] ).
cnf(347,plain,
equal(store(queue_71,tail,index_72),q2),
inference(rew,[status(thm),theory(equality)],[307,286]),
[iquote('0:Rew:307.0,286.0')] ).
cnf(348,plain,
equal(store(queue_5,tail,index_6),q1),
inference(rew,[status(thm),theory(equality)],[296,284]),
[iquote('0:Rew:296.0,284.0')] ).
cnf(349,plain,
equal(store(queue_65,tail,index_66),q19),
inference(rew,[status(thm),theory(equality)],[306,283]),
[iquote('0:Rew:306.0,283.0')] ).
cnf(350,plain,
equal(store(queue_59,tail,index_60),q18),
inference(rew,[status(thm),theory(equality)],[305,281]),
[iquote('0:Rew:305.0,281.0')] ).
cnf(351,plain,
equal(store(queue_53,tail,index_54),q17),
inference(rew,[status(thm),theory(equality)],[304,279]),
[iquote('0:Rew:304.0,279.0')] ).
cnf(352,plain,
equal(store(queue_47,tail,index_48),q16),
inference(rew,[status(thm),theory(equality)],[303,276]),
[iquote('0:Rew:303.0,276.0')] ).
cnf(353,plain,
equal(store(queue_41,tail,index_42),q15),
inference(rew,[status(thm),theory(equality)],[302,274]),
[iquote('0:Rew:302.0,274.0')] ).
cnf(354,plain,
equal(store(queue_35,tail,index_36),q14),
inference(rew,[status(thm),theory(equality)],[301,272]),
[iquote('0:Rew:301.0,272.0')] ).
cnf(355,plain,
equal(store(queue_29,tail,index_30),q13),
inference(rew,[status(thm),theory(equality)],[300,270]),
[iquote('0:Rew:300.0,270.0')] ).
cnf(356,plain,
equal(store(queue_275,tail,index_276),q9),
inference(rew,[status(thm),theory(equality)],[341,268]),
[iquote('0:Rew:341.0,268.0')] ).
cnf(357,plain,
equal(store(queue_269,tail,index_270),q8),
inference(rew,[status(thm),theory(equality)],[340,266]),
[iquote('0:Rew:340.0,266.0')] ).
cnf(358,plain,
equal(store(queue_263,tail,index_264),q7),
inference(rew,[status(thm),theory(equality)],[339,264]),
[iquote('0:Rew:339.0,264.0')] ).
cnf(359,plain,
equal(store(queue_257,tail,index_258),q6),
inference(rew,[status(thm),theory(equality)],[338,262]),
[iquote('0:Rew:338.0,262.0')] ).
cnf(360,plain,
equal(store(queue_251,tail,index_252),q5),
inference(rew,[status(thm),theory(equality)],[337,260]),
[iquote('0:Rew:337.0,260.0')] ).
cnf(361,plain,
equal(store(queue_23,tail,index_24),q12),
inference(rew,[status(thm),theory(equality)],[299,258]),
[iquote('0:Rew:299.0,258.0')] ).
cnf(362,plain,
equal(store(queue_245,tail,index_246),q46),
inference(rew,[status(thm),theory(equality)],[336,257]),
[iquote('0:Rew:336.0,257.0')] ).
cnf(363,plain,
equal(store(queue_239,tail,index_240),q45),
inference(rew,[status(thm),theory(equality)],[335,255]),
[iquote('0:Rew:335.0,255.0')] ).
cnf(364,plain,
equal(store(queue_233,tail,index_234),q44),
inference(rew,[status(thm),theory(equality)],[334,253]),
[iquote('0:Rew:334.0,253.0')] ).
cnf(365,plain,
equal(store(queue_227,tail,index_228),q43),
inference(rew,[status(thm),theory(equality)],[333,250]),
[iquote('0:Rew:333.0,250.0')] ).
cnf(366,plain,
equal(store(queue_221,tail,index_222),q42),
inference(rew,[status(thm),theory(equality)],[332,248]),
[iquote('0:Rew:332.0,248.0')] ).
cnf(367,plain,
equal(store(queue_215,tail,index_216),q41),
inference(rew,[status(thm),theory(equality)],[331,246]),
[iquote('0:Rew:331.0,246.0')] ).
cnf(368,plain,
equal(store(queue_209,tail,index_210),q40),
inference(rew,[status(thm),theory(equality)],[330,244]),
[iquote('0:Rew:330.0,244.0')] ).
cnf(369,plain,
equal(store(queue_203,tail,index_204),q4),
inference(rew,[status(thm),theory(equality)],[329,242]),
[iquote('0:Rew:329.0,242.0')] ).
cnf(370,plain,
equal(store(queue_197,tail,index_198),q39),
inference(rew,[status(thm),theory(equality)],[328,240]),
[iquote('0:Rew:328.0,240.0')] ).
cnf(371,plain,
equal(store(queue_191,tail,index_192),q38),
inference(rew,[status(thm),theory(equality)],[327,238]),
[iquote('0:Rew:327.0,238.0')] ).
cnf(372,plain,
equal(store(queue_17,tail,index_18),q11),
inference(rew,[status(thm),theory(equality)],[298,236]),
[iquote('0:Rew:298.0,236.0')] ).
cnf(373,plain,
equal(store(queue_185,tail,index_186),q37),
inference(rew,[status(thm),theory(equality)],[326,235]),
[iquote('0:Rew:326.0,235.0')] ).
cnf(374,plain,
equal(store(queue_179,tail,index_180),q36),
inference(rew,[status(thm),theory(equality)],[325,233]),
[iquote('0:Rew:325.0,233.0')] ).
cnf(375,plain,
equal(store(queue_173,tail,index_174),q35),
inference(rew,[status(thm),theory(equality)],[324,231]),
[iquote('0:Rew:324.0,231.0')] ).
cnf(376,plain,
equal(store(queue_167,tail,index_168),q34),
inference(rew,[status(thm),theory(equality)],[323,228]),
[iquote('0:Rew:323.0,228.0')] ).
cnf(377,plain,
equal(store(queue_161,tail,index_162),q33),
inference(rew,[status(thm),theory(equality)],[322,226]),
[iquote('0:Rew:322.0,226.0')] ).
cnf(378,plain,
equal(store(queue_155,tail,index_156),q32),
inference(rew,[status(thm),theory(equality)],[321,224]),
[iquote('0:Rew:321.0,224.0')] ).
cnf(379,plain,
equal(store(queue_149,tail,index_150),q31),
inference(rew,[status(thm),theory(equality)],[320,222]),
[iquote('0:Rew:320.0,222.0')] ).
cnf(380,plain,
equal(store(queue_143,tail,index_144),q30),
inference(rew,[status(thm),theory(equality)],[319,220]),
[iquote('0:Rew:319.0,220.0')] ).
cnf(381,plain,
equal(store(queue_137,tail,index_138),q3),
inference(rew,[status(thm),theory(equality)],[318,218]),
[iquote('0:Rew:318.0,218.0')] ).
cnf(382,plain,
equal(store(queue_131,tail,index_132),q29),
inference(rew,[status(thm),theory(equality)],[317,216]),
[iquote('0:Rew:317.0,216.0')] ).
cnf(383,plain,
equal(store(queue_11,tail,index_12),q10),
inference(rew,[status(thm),theory(equality)],[297,214]),
[iquote('0:Rew:297.0,214.0')] ).
cnf(384,plain,
equal(store(queue_125,tail,index_126),q28),
inference(rew,[status(thm),theory(equality)],[316,213]),
[iquote('0:Rew:316.0,213.0')] ).
cnf(385,plain,
equal(store(queue_119,tail,index_120),q27),
inference(rew,[status(thm),theory(equality)],[315,211]),
[iquote('0:Rew:315.0,211.0')] ).
cnf(386,plain,
equal(store(queue_113,tail,index_114),q26),
inference(rew,[status(thm),theory(equality)],[314,209]),
[iquote('0:Rew:314.0,209.0')] ).
cnf(387,plain,
equal(store(queue_107,tail,index_108),q25),
inference(rew,[status(thm),theory(equality)],[313,206]),
[iquote('0:Rew:313.0,206.0')] ).
cnf(388,plain,
equal(store(queue_101,tail,index_102),q24),
inference(rew,[status(thm),theory(equality)],[312,204]),
[iquote('0:Rew:312.0,204.0')] ).
cnf(389,plain,
equal(store(q,head,index_0),q0),
inference(rew,[status(thm),theory(equality)],[295,202]),
[iquote('0:Rew:295.0,202.0')] ).
cnf(587,plain,
equal(p(index_96),index_93),
inference(spr,[status(thm),theory(equality)],[200,6]),
[iquote('0:SpR:200.0,6.0')] ).
cnf(588,plain,
equal(p(index_90),index_87),
inference(spr,[status(thm),theory(equality)],[198,6]),
[iquote('0:SpR:198.0,6.0')] ).
cnf(589,plain,
equal(p(index_84),index_81),
inference(spr,[status(thm),theory(equality)],[195,6]),
[iquote('0:SpR:195.0,6.0')] ).
cnf(590,plain,
equal(p(index_78),index_75),
inference(spr,[status(thm),theory(equality)],[193,6]),
[iquote('0:SpR:193.0,6.0')] ).
cnf(591,plain,
equal(p(index_72),index_69),
inference(spr,[status(thm),theory(equality)],[191,6]),
[iquote('0:SpR:191.0,6.0')] ).
cnf(592,plain,
equal(p(index_66),index_63),
inference(spr,[status(thm),theory(equality)],[189,6]),
[iquote('0:SpR:189.0,6.0')] ).
cnf(593,plain,
equal(p(index_60),index_57),
inference(spr,[status(thm),theory(equality)],[187,6]),
[iquote('0:SpR:187.0,6.0')] ).
cnf(594,plain,
equal(p(index_6),index_3),
inference(spr,[status(thm),theory(equality)],[186,6]),
[iquote('0:SpR:186.0,6.0')] ).
cnf(595,plain,
equal(p(index_54),index_51),
inference(spr,[status(thm),theory(equality)],[184,6]),
[iquote('0:SpR:184.0,6.0')] ).
cnf(596,plain,
equal(p(index_48),index_45),
inference(spr,[status(thm),theory(equality)],[182,6]),
[iquote('0:SpR:182.0,6.0')] ).
cnf(597,plain,
equal(p(index_42),index_39),
inference(spr,[status(thm),theory(equality)],[180,6]),
[iquote('0:SpR:180.0,6.0')] ).
cnf(598,plain,
equal(p(index_36),index_33),
inference(spr,[status(thm),theory(equality)],[178,6]),
[iquote('0:SpR:178.0,6.0')] ).
cnf(599,plain,
equal(p(index_30),index_27),
inference(spr,[status(thm),theory(equality)],[176,6]),
[iquote('0:SpR:176.0,6.0')] ).
cnf(600,plain,
equal(p(index_281),index_282),
inference(spr,[status(thm),theory(equality)],[174,6]),
[iquote('0:SpR:174.0,6.0')] ).
cnf(601,plain,
equal(p(index_276),index_273),
inference(spr,[status(thm),theory(equality)],[171,6]),
[iquote('0:SpR:171.0,6.0')] ).
cnf(602,plain,
equal(p(index_270),index_267),
inference(spr,[status(thm),theory(equality)],[169,6]),
[iquote('0:SpR:169.0,6.0')] ).
cnf(603,plain,
equal(p(index_264),index_261),
inference(spr,[status(thm),theory(equality)],[166,6]),
[iquote('0:SpR:166.0,6.0')] ).
cnf(604,plain,
equal(p(index_258),index_255),
inference(spr,[status(thm),theory(equality)],[164,6]),
[iquote('0:SpR:164.0,6.0')] ).
cnf(605,plain,
equal(p(index_252),index_249),
inference(spr,[status(thm),theory(equality)],[162,6]),
[iquote('0:SpR:162.0,6.0')] ).
cnf(606,plain,
equal(p(index_246),index_243),
inference(spr,[status(thm),theory(equality)],[160,6]),
[iquote('0:SpR:160.0,6.0')] ).
cnf(608,plain,
equal(p(index_24),index_21),
inference(spr,[status(thm),theory(equality)],[157,6]),
[iquote('0:SpR:157.0,6.0')] ).
cnf(614,plain,
equal(p(index_204),index_201),
inference(spr,[status(thm),theory(equality)],[144,6]),
[iquote('0:SpR:144.0,6.0')] ).
cnf(617,plain,
equal(p(index_186),index_183),
inference(spr,[status(thm),theory(equality)],[138,6]),
[iquote('0:SpR:138.0,6.0')] ).
cnf(619,plain,
equal(p(index_18),index_15),
inference(spr,[status(thm),theory(equality)],[135,6]),
[iquote('0:SpR:135.0,6.0')] ).
cnf(626,plain,
equal(p(index_138),index_135),
inference(spr,[status(thm),theory(equality)],[120,6]),
[iquote('0:SpR:120.0,6.0')] ).
cnf(630,plain,
equal(p(index_12),index_9),
inference(spr,[status(thm),theory(equality)],[113,6]),
[iquote('0:SpR:113.0,6.0')] ).
cnf(632,plain,
equal(p(index_108),index_105),
inference(spr,[status(thm),theory(equality)],[109,6]),
[iquote('0:SpR:109.0,6.0')] ).
cnf(633,plain,
equal(p(index_102),index_99),
inference(spr,[status(thm),theory(equality)],[107,6]),
[iquote('0:SpR:107.0,6.0')] ).
cnf(964,plain,
equal(s(s(u)),p(u)),
inference(spr,[status(thm),theory(equality)],[10,6]),
[iquote('0:SpR:10.0,6.0')] ).
cnf(1068,plain,
equal(select(q23,tail),index_96),
inference(spr,[status(thm),theory(equality)],[343,1]),
[iquote('0:SpR:343.0,1.0')] ).
cnf(1069,plain,
equal(select(q22,tail),index_90),
inference(spr,[status(thm),theory(equality)],[344,1]),
[iquote('0:SpR:344.0,1.0')] ).
cnf(1070,plain,
equal(select(q21,tail),index_84),
inference(spr,[status(thm),theory(equality)],[345,1]),
[iquote('0:SpR:345.0,1.0')] ).
cnf(1071,plain,
equal(select(q20,tail),index_78),
inference(spr,[status(thm),theory(equality)],[346,1]),
[iquote('0:SpR:346.0,1.0')] ).
cnf(1072,plain,
equal(select(q2,tail),index_72),
inference(spr,[status(thm),theory(equality)],[347,1]),
[iquote('0:SpR:347.0,1.0')] ).
cnf(1073,plain,
equal(select(q1,tail),index_6),
inference(spr,[status(thm),theory(equality)],[348,1]),
[iquote('0:SpR:348.0,1.0')] ).
cnf(1074,plain,
equal(select(q19,tail),index_66),
inference(spr,[status(thm),theory(equality)],[349,1]),
[iquote('0:SpR:349.0,1.0')] ).
cnf(1075,plain,
equal(select(q18,tail),index_60),
inference(spr,[status(thm),theory(equality)],[350,1]),
[iquote('0:SpR:350.0,1.0')] ).
cnf(1076,plain,
equal(select(q17,tail),index_54),
inference(spr,[status(thm),theory(equality)],[351,1]),
[iquote('0:SpR:351.0,1.0')] ).
cnf(1077,plain,
equal(select(q16,tail),index_48),
inference(spr,[status(thm),theory(equality)],[352,1]),
[iquote('0:SpR:352.0,1.0')] ).
cnf(1078,plain,
equal(select(q15,tail),index_42),
inference(spr,[status(thm),theory(equality)],[353,1]),
[iquote('0:SpR:353.0,1.0')] ).
cnf(1079,plain,
equal(select(q14,tail),index_36),
inference(spr,[status(thm),theory(equality)],[354,1]),
[iquote('0:SpR:354.0,1.0')] ).
cnf(1080,plain,
equal(select(q13,tail),index_30),
inference(spr,[status(thm),theory(equality)],[355,1]),
[iquote('0:SpR:355.0,1.0')] ).
cnf(1081,plain,
equal(select(q9,tail),index_276),
inference(spr,[status(thm),theory(equality)],[356,1]),
[iquote('0:SpR:356.0,1.0')] ).
cnf(1082,plain,
equal(select(q8,tail),index_270),
inference(spr,[status(thm),theory(equality)],[357,1]),
[iquote('0:SpR:357.0,1.0')] ).
cnf(1083,plain,
equal(select(q7,tail),index_264),
inference(spr,[status(thm),theory(equality)],[358,1]),
[iquote('0:SpR:358.0,1.0')] ).
cnf(1084,plain,
equal(select(q6,tail),index_258),
inference(spr,[status(thm),theory(equality)],[359,1]),
[iquote('0:SpR:359.0,1.0')] ).
cnf(1085,plain,
equal(select(q5,tail),index_252),
inference(spr,[status(thm),theory(equality)],[360,1]),
[iquote('0:SpR:360.0,1.0')] ).
cnf(1086,plain,
equal(select(q12,tail),index_24),
inference(spr,[status(thm),theory(equality)],[361,1]),
[iquote('0:SpR:361.0,1.0')] ).
cnf(1087,plain,
equal(select(q46,tail),index_246),
inference(spr,[status(thm),theory(equality)],[362,1]),
[iquote('0:SpR:362.0,1.0')] ).
cnf(1088,plain,
equal(select(q45,tail),index_240),
inference(spr,[status(thm),theory(equality)],[363,1]),
[iquote('0:SpR:363.0,1.0')] ).
cnf(1089,plain,
equal(select(q44,tail),index_234),
inference(spr,[status(thm),theory(equality)],[364,1]),
[iquote('0:SpR:364.0,1.0')] ).
cnf(1090,plain,
equal(select(q43,tail),index_228),
inference(spr,[status(thm),theory(equality)],[365,1]),
[iquote('0:SpR:365.0,1.0')] ).
cnf(1091,plain,
equal(select(q42,tail),index_222),
inference(spr,[status(thm),theory(equality)],[366,1]),
[iquote('0:SpR:366.0,1.0')] ).
cnf(1092,plain,
equal(select(q41,tail),index_216),
inference(spr,[status(thm),theory(equality)],[367,1]),
[iquote('0:SpR:367.0,1.0')] ).
cnf(1093,plain,
equal(select(q40,tail),index_210),
inference(spr,[status(thm),theory(equality)],[368,1]),
[iquote('0:SpR:368.0,1.0')] ).
cnf(1094,plain,
equal(select(q4,tail),index_204),
inference(spr,[status(thm),theory(equality)],[369,1]),
[iquote('0:SpR:369.0,1.0')] ).
cnf(1095,plain,
equal(select(q39,tail),index_198),
inference(spr,[status(thm),theory(equality)],[370,1]),
[iquote('0:SpR:370.0,1.0')] ).
cnf(1096,plain,
equal(select(q38,tail),index_192),
inference(spr,[status(thm),theory(equality)],[371,1]),
[iquote('0:SpR:371.0,1.0')] ).
cnf(1097,plain,
equal(select(q11,tail),index_18),
inference(spr,[status(thm),theory(equality)],[372,1]),
[iquote('0:SpR:372.0,1.0')] ).
cnf(1098,plain,
equal(select(q37,tail),index_186),
inference(spr,[status(thm),theory(equality)],[373,1]),
[iquote('0:SpR:373.0,1.0')] ).
cnf(1099,plain,
equal(select(q36,tail),index_180),
inference(spr,[status(thm),theory(equality)],[374,1]),
[iquote('0:SpR:374.0,1.0')] ).
cnf(1100,plain,
equal(select(q35,tail),index_174),
inference(spr,[status(thm),theory(equality)],[375,1]),
[iquote('0:SpR:375.0,1.0')] ).
cnf(1101,plain,
equal(select(q34,tail),index_168),
inference(spr,[status(thm),theory(equality)],[376,1]),
[iquote('0:SpR:376.0,1.0')] ).
cnf(1102,plain,
equal(select(q33,tail),index_162),
inference(spr,[status(thm),theory(equality)],[377,1]),
[iquote('0:SpR:377.0,1.0')] ).
cnf(1103,plain,
equal(select(q32,tail),index_156),
inference(spr,[status(thm),theory(equality)],[378,1]),
[iquote('0:SpR:378.0,1.0')] ).
cnf(1104,plain,
equal(select(q31,tail),index_150),
inference(spr,[status(thm),theory(equality)],[379,1]),
[iquote('0:SpR:379.0,1.0')] ).
cnf(1105,plain,
equal(select(q30,tail),index_144),
inference(spr,[status(thm),theory(equality)],[380,1]),
[iquote('0:SpR:380.0,1.0')] ).
cnf(1106,plain,
equal(select(q3,tail),index_138),
inference(spr,[status(thm),theory(equality)],[381,1]),
[iquote('0:SpR:381.0,1.0')] ).
cnf(1107,plain,
equal(select(q29,tail),index_132),
inference(spr,[status(thm),theory(equality)],[382,1]),
[iquote('0:SpR:382.0,1.0')] ).
cnf(1108,plain,
equal(select(q10,tail),index_12),
inference(spr,[status(thm),theory(equality)],[383,1]),
[iquote('0:SpR:383.0,1.0')] ).
cnf(1109,plain,
equal(select(q28,tail),index_126),
inference(spr,[status(thm),theory(equality)],[384,1]),
[iquote('0:SpR:384.0,1.0')] ).
cnf(1110,plain,
equal(select(q27,tail),index_120),
inference(spr,[status(thm),theory(equality)],[385,1]),
[iquote('0:SpR:385.0,1.0')] ).
cnf(1111,plain,
equal(select(q26,tail),index_114),
inference(spr,[status(thm),theory(equality)],[386,1]),
[iquote('0:SpR:386.0,1.0')] ).
cnf(1112,plain,
equal(select(q25,tail),index_108),
inference(spr,[status(thm),theory(equality)],[387,1]),
[iquote('0:SpR:387.0,1.0')] ).
cnf(1113,plain,
equal(select(q24,tail),index_102),
inference(spr,[status(thm),theory(equality)],[388,1]),
[iquote('0:SpR:388.0,1.0')] ).
cnf(1132,plain,
equal(select(queue_245,seq),earray_244),
inference(spr,[status(thm),theory(equality)],[256,1]),
[iquote('0:SpR:256.0,1.0')] ).
cnf(1133,plain,
equal(select(queue_239,seq),earray_238),
inference(spr,[status(thm),theory(equality)],[254,1]),
[iquote('0:SpR:254.0,1.0')] ).
cnf(1160,plain,
equal(select(q0,head),index_0),
inference(spr,[status(thm),theory(equality)],[389,1]),
[iquote('0:SpR:389.0,1.0')] ).
cnf(1179,plain,
equal(select(earray_244,index_243),e45),
inference(spr,[status(thm),theory(equality)],[65,1]),
[iquote('0:SpR:65.0,1.0')] ).
cnf(1207,plain,
equal(index_96,index_99),
inference(rew,[status(thm),theory(equality)],[201,1068]),
[iquote('0:Rew:201.0,1068.0')] ).
cnf(1208,plain,
equal(s(index_93),index_99),
inference(rew,[status(thm),theory(equality)],[1207,200]),
[iquote('0:Rew:1207.0,200.0')] ).
cnf(1209,plain,
equal(p(index_99),index_93),
inference(rew,[status(thm),theory(equality)],[1207,587]),
[iquote('0:Rew:1207.0,587.0')] ).
cnf(1210,plain,
equal(store(queue_95,tail,index_99),q23),
inference(rew,[status(thm),theory(equality)],[1207,343]),
[iquote('0:Rew:1207.0,343.0')] ).
cnf(1212,plain,
equal(index_90,index_93),
inference(rew,[status(thm),theory(equality)],[199,1069]),
[iquote('0:Rew:199.0,1069.0')] ).
cnf(1213,plain,
equal(s(index_87),index_93),
inference(rew,[status(thm),theory(equality)],[1212,198]),
[iquote('0:Rew:1212.0,198.0')] ).
cnf(1214,plain,
equal(p(index_93),index_87),
inference(rew,[status(thm),theory(equality)],[1212,588]),
[iquote('0:Rew:1212.0,588.0')] ).
cnf(1215,plain,
equal(store(queue_89,tail,index_93),q22),
inference(rew,[status(thm),theory(equality)],[1212,344]),
[iquote('0:Rew:1212.0,344.0')] ).
cnf(1217,plain,
equal(index_84,index_87),
inference(rew,[status(thm),theory(equality)],[196,1070]),
[iquote('0:Rew:196.0,1070.0')] ).
cnf(1219,plain,
equal(p(index_87),index_81),
inference(rew,[status(thm),theory(equality)],[1217,589]),
[iquote('0:Rew:1217.0,589.0')] ).
cnf(1220,plain,
equal(store(queue_83,tail,index_87),q21),
inference(rew,[status(thm),theory(equality)],[1217,345]),
[iquote('0:Rew:1217.0,345.0')] ).
cnf(1222,plain,
equal(index_78,index_81),
inference(rew,[status(thm),theory(equality)],[194,1071]),
[iquote('0:Rew:194.0,1071.0')] ).
cnf(1224,plain,
equal(p(index_81),index_75),
inference(rew,[status(thm),theory(equality)],[1222,590]),
[iquote('0:Rew:1222.0,590.0')] ).
cnf(1225,plain,
equal(store(queue_77,tail,index_81),q20),
inference(rew,[status(thm),theory(equality)],[1222,346]),
[iquote('0:Rew:1222.0,346.0')] ).
cnf(1227,plain,
equal(index_72,index_135),
inference(rew,[status(thm),theory(equality)],[119,1072]),
[iquote('0:Rew:119.0,1072.0')] ).
cnf(1229,plain,
equal(p(index_135),index_69),
inference(rew,[status(thm),theory(equality)],[1227,591]),
[iquote('0:Rew:1227.0,591.0')] ).
cnf(1230,plain,
equal(store(queue_71,tail,index_135),q2),
inference(rew,[status(thm),theory(equality)],[1227,347]),
[iquote('0:Rew:1227.0,347.0')] ).
cnf(1232,plain,
equal(index_6,index_69),
inference(rew,[status(thm),theory(equality)],[190,1073]),
[iquote('0:Rew:190.0,1073.0')] ).
cnf(1234,plain,
equal(p(index_69),index_3),
inference(rew,[status(thm),theory(equality)],[1232,594]),
[iquote('0:Rew:1232.0,594.0')] ).
cnf(1235,plain,
equal(store(queue_5,tail,index_69),q1),
inference(rew,[status(thm),theory(equality)],[1232,348]),
[iquote('0:Rew:1232.0,348.0')] ).
cnf(1237,plain,
equal(index_66,index_75),
inference(rew,[status(thm),theory(equality)],[192,1074]),
[iquote('0:Rew:192.0,1074.0')] ).
cnf(1239,plain,
equal(p(index_75),index_63),
inference(rew,[status(thm),theory(equality)],[1237,592]),
[iquote('0:Rew:1237.0,592.0')] ).
cnf(1240,plain,
equal(store(queue_65,tail,index_75),q19),
inference(rew,[status(thm),theory(equality)],[1237,349]),
[iquote('0:Rew:1237.0,349.0')] ).
cnf(1242,plain,
equal(index_60,index_63),
inference(rew,[status(thm),theory(equality)],[188,1075]),
[iquote('0:Rew:188.0,1075.0')] ).
cnf(1244,plain,
equal(p(index_63),index_57),
inference(rew,[status(thm),theory(equality)],[1242,593]),
[iquote('0:Rew:1242.0,593.0')] ).
cnf(1246,plain,
equal(store(queue_59,tail,index_63),q18),
inference(rew,[status(thm),theory(equality)],[1242,350]),
[iquote('0:Rew:1242.0,350.0')] ).
cnf(1247,plain,
equal(index_54,index_57),
inference(rew,[status(thm),theory(equality)],[185,1076]),
[iquote('0:Rew:185.0,1076.0')] ).
cnf(1249,plain,
equal(p(index_57),index_51),
inference(rew,[status(thm),theory(equality)],[1247,595]),
[iquote('0:Rew:1247.0,595.0')] ).
cnf(1251,plain,
equal(store(queue_53,tail,index_57),q17),
inference(rew,[status(thm),theory(equality)],[1247,351]),
[iquote('0:Rew:1247.0,351.0')] ).
cnf(1252,plain,
equal(index_48,index_51),
inference(rew,[status(thm),theory(equality)],[183,1077]),
[iquote('0:Rew:183.0,1077.0')] ).
cnf(1254,plain,
equal(p(index_51),index_45),
inference(rew,[status(thm),theory(equality)],[1252,596]),
[iquote('0:Rew:1252.0,596.0')] ).
cnf(1256,plain,
equal(store(queue_47,tail,index_51),q16),
inference(rew,[status(thm),theory(equality)],[1252,352]),
[iquote('0:Rew:1252.0,352.0')] ).
cnf(1257,plain,
equal(index_42,index_45),
inference(rew,[status(thm),theory(equality)],[181,1078]),
[iquote('0:Rew:181.0,1078.0')] ).
cnf(1259,plain,
equal(p(index_45),index_39),
inference(rew,[status(thm),theory(equality)],[1257,597]),
[iquote('0:Rew:1257.0,597.0')] ).
cnf(1261,plain,
equal(store(queue_41,tail,index_45),q15),
inference(rew,[status(thm),theory(equality)],[1257,353]),
[iquote('0:Rew:1257.0,353.0')] ).
cnf(1262,plain,
equal(index_36,index_39),
inference(rew,[status(thm),theory(equality)],[179,1079]),
[iquote('0:Rew:179.0,1079.0')] ).
cnf(1264,plain,
equal(p(index_39),index_33),
inference(rew,[status(thm),theory(equality)],[1262,598]),
[iquote('0:Rew:1262.0,598.0')] ).
cnf(1266,plain,
equal(store(queue_35,tail,index_39),q14),
inference(rew,[status(thm),theory(equality)],[1262,354]),
[iquote('0:Rew:1262.0,354.0')] ).
cnf(1267,plain,
equal(index_30,index_33),
inference(rew,[status(thm),theory(equality)],[177,1080]),
[iquote('0:Rew:177.0,1080.0')] ).
cnf(1269,plain,
equal(p(index_33),index_27),
inference(rew,[status(thm),theory(equality)],[1267,599]),
[iquote('0:Rew:1267.0,599.0')] ).
cnf(1271,plain,
equal(store(queue_29,tail,index_33),q13),
inference(rew,[status(thm),theory(equality)],[1267,355]),
[iquote('0:Rew:1267.0,355.0')] ).
cnf(1272,plain,
equal(index_276,index_9),
inference(rew,[status(thm),theory(equality)],[197,1081]),
[iquote('0:Rew:197.0,1081.0')] ).
cnf(1274,plain,
equal(p(index_9),index_273),
inference(rew,[status(thm),theory(equality)],[1272,601]),
[iquote('0:Rew:1272.0,601.0')] ).
cnf(1276,plain,
equal(store(queue_275,tail,index_9),q9),
inference(rew,[status(thm),theory(equality)],[1272,356]),
[iquote('0:Rew:1272.0,356.0')] ).
cnf(1277,plain,
equal(index_270,index_273),
inference(rew,[status(thm),theory(equality)],[170,1082]),
[iquote('0:Rew:170.0,1082.0')] ).
cnf(1279,plain,
equal(p(index_273),index_267),
inference(rew,[status(thm),theory(equality)],[1277,602]),
[iquote('0:Rew:1277.0,602.0')] ).
cnf(1281,plain,
equal(store(queue_269,tail,index_273),q8),
inference(rew,[status(thm),theory(equality)],[1277,357]),
[iquote('0:Rew:1277.0,357.0')] ).
cnf(1282,plain,
equal(index_264,index_267),
inference(rew,[status(thm),theory(equality)],[167,1083]),
[iquote('0:Rew:167.0,1083.0')] ).
cnf(1284,plain,
equal(p(index_267),index_261),
inference(rew,[status(thm),theory(equality)],[1282,603]),
[iquote('0:Rew:1282.0,603.0')] ).
cnf(1286,plain,
equal(store(queue_263,tail,index_267),q7),
inference(rew,[status(thm),theory(equality)],[1282,358]),
[iquote('0:Rew:1282.0,358.0')] ).
cnf(1287,plain,
equal(index_258,index_261),
inference(rew,[status(thm),theory(equality)],[165,1084]),
[iquote('0:Rew:165.0,1084.0')] ).
cnf(1289,plain,
equal(p(index_261),index_255),
inference(rew,[status(thm),theory(equality)],[1287,604]),
[iquote('0:Rew:1287.0,604.0')] ).
cnf(1291,plain,
equal(store(queue_257,tail,index_261),q6),
inference(rew,[status(thm),theory(equality)],[1287,359]),
[iquote('0:Rew:1287.0,359.0')] ).
cnf(1292,plain,
equal(index_252,index_255),
inference(rew,[status(thm),theory(equality)],[163,1085]),
[iquote('0:Rew:163.0,1085.0')] ).
cnf(1294,plain,
equal(p(index_255),index_249),
inference(rew,[status(thm),theory(equality)],[1292,605]),
[iquote('0:Rew:1292.0,605.0')] ).
cnf(1296,plain,
equal(store(queue_251,tail,index_255),q5),
inference(rew,[status(thm),theory(equality)],[1292,360]),
[iquote('0:Rew:1292.0,360.0')] ).
cnf(1297,plain,
equal(index_24,index_27),
inference(rew,[status(thm),theory(equality)],[168,1086]),
[iquote('0:Rew:168.0,1086.0')] ).
cnf(1299,plain,
equal(p(index_27),index_21),
inference(rew,[status(thm),theory(equality)],[1297,608]),
[iquote('0:Rew:1297.0,608.0')] ).
cnf(1301,plain,
equal(store(queue_23,tail,index_27),q12),
inference(rew,[status(thm),theory(equality)],[1297,361]),
[iquote('0:Rew:1297.0,361.0')] ).
cnf(1302,plain,
equal(index_281,index_246),
inference(rew,[status(thm),theory(equality)],[173,1087]),
[iquote('0:Rew:173.0,1087.0')] ).
cnf(1305,plain,
equal(p(index_246),index_282),
inference(rew,[status(thm),theory(equality)],[1302,600]),
[iquote('0:Rew:1302.0,600.0')] ).
cnf(1307,plain,
equal(index_282,index_243),
inference(rew,[status(thm),theory(equality)],[606,1305]),
[iquote('0:Rew:606.0,1305.0')] ).
cnf(1308,plain,
equal(select(earray_278,index_243),elem_283),
inference(rew,[status(thm),theory(equality)],[1307,105]),
[iquote('0:Rew:1307.0,105.0')] ).
cnf(1311,plain,
equal(index_240,index_243),
inference(rew,[status(thm),theory(equality)],[159,1088]),
[iquote('0:Rew:159.0,1088.0')] ).
cnf(1312,plain,
equal(s(index_237),index_243),
inference(rew,[status(thm),theory(equality)],[1311,158]),
[iquote('0:Rew:1311.0,158.0')] ).
cnf(1315,plain,
equal(store(queue_239,tail,index_243),q45),
inference(rew,[status(thm),theory(equality)],[1311,363]),
[iquote('0:Rew:1311.0,363.0')] ).
cnf(1316,plain,
equal(index_234,index_237),
inference(rew,[status(thm),theory(equality)],[156,1089]),
[iquote('0:Rew:156.0,1089.0')] ).
cnf(1317,plain,
equal(s(index_231),index_237),
inference(rew,[status(thm),theory(equality)],[1316,155]),
[iquote('0:Rew:1316.0,155.0')] ).
cnf(1320,plain,
equal(store(queue_233,tail,index_237),q44),
inference(rew,[status(thm),theory(equality)],[1316,364]),
[iquote('0:Rew:1316.0,364.0')] ).
cnf(1321,plain,
equal(index_228,index_231),
inference(rew,[status(thm),theory(equality)],[154,1090]),
[iquote('0:Rew:154.0,1090.0')] ).
cnf(1322,plain,
equal(s(index_225),index_231),
inference(rew,[status(thm),theory(equality)],[1321,153]),
[iquote('0:Rew:1321.0,153.0')] ).
cnf(1325,plain,
equal(store(queue_227,tail,index_231),q43),
inference(rew,[status(thm),theory(equality)],[1321,365]),
[iquote('0:Rew:1321.0,365.0')] ).
cnf(1326,plain,
equal(index_222,index_225),
inference(rew,[status(thm),theory(equality)],[152,1091]),
[iquote('0:Rew:152.0,1091.0')] ).
cnf(1327,plain,
equal(s(index_219),index_225),
inference(rew,[status(thm),theory(equality)],[1326,151]),
[iquote('0:Rew:1326.0,151.0')] ).
cnf(1330,plain,
equal(store(queue_221,tail,index_225),q42),
inference(rew,[status(thm),theory(equality)],[1326,366]),
[iquote('0:Rew:1326.0,366.0')] ).
cnf(1331,plain,
equal(index_216,index_219),
inference(rew,[status(thm),theory(equality)],[150,1092]),
[iquote('0:Rew:150.0,1092.0')] ).
cnf(1332,plain,
equal(s(index_213),index_219),
inference(rew,[status(thm),theory(equality)],[1331,149]),
[iquote('0:Rew:1331.0,149.0')] ).
cnf(1335,plain,
equal(store(queue_215,tail,index_219),q41),
inference(rew,[status(thm),theory(equality)],[1331,367]),
[iquote('0:Rew:1331.0,367.0')] ).
cnf(1336,plain,
equal(index_210,index_213),
inference(rew,[status(thm),theory(equality)],[148,1093]),
[iquote('0:Rew:148.0,1093.0')] ).
cnf(1337,plain,
equal(s(index_207),index_213),
inference(rew,[status(thm),theory(equality)],[1336,147]),
[iquote('0:Rew:1336.0,147.0')] ).
cnf(1340,plain,
equal(store(queue_209,tail,index_213),q40),
inference(rew,[status(thm),theory(equality)],[1336,368]),
[iquote('0:Rew:1336.0,368.0')] ).
cnf(1341,plain,
equal(index_204,index_249),
inference(rew,[status(thm),theory(equality)],[161,1094]),
[iquote('0:Rew:161.0,1094.0')] ).
cnf(1343,plain,
equal(p(index_249),index_201),
inference(rew,[status(thm),theory(equality)],[1341,614]),
[iquote('0:Rew:1341.0,614.0')] ).
cnf(1345,plain,
equal(store(queue_203,tail,index_249),q4),
inference(rew,[status(thm),theory(equality)],[1341,369]),
[iquote('0:Rew:1341.0,369.0')] ).
cnf(1346,plain,
equal(index_198,index_207),
inference(rew,[status(thm),theory(equality)],[145,1095]),
[iquote('0:Rew:145.0,1095.0')] ).
cnf(1347,plain,
equal(s(index_195),index_207),
inference(rew,[status(thm),theory(equality)],[1346,142]),
[iquote('0:Rew:1346.0,142.0')] ).
cnf(1350,plain,
equal(store(queue_197,tail,index_207),q39),
inference(rew,[status(thm),theory(equality)],[1346,370]),
[iquote('0:Rew:1346.0,370.0')] ).
cnf(1351,plain,
equal(index_192,index_195),
inference(rew,[status(thm),theory(equality)],[141,1096]),
[iquote('0:Rew:141.0,1096.0')] ).
cnf(1352,plain,
equal(s(index_189),index_195),
inference(rew,[status(thm),theory(equality)],[1351,140]),
[iquote('0:Rew:1351.0,140.0')] ).
cnf(1355,plain,
equal(store(queue_191,tail,index_195),q38),
inference(rew,[status(thm),theory(equality)],[1351,371]),
[iquote('0:Rew:1351.0,371.0')] ).
cnf(1356,plain,
equal(index_18,index_21),
inference(rew,[status(thm),theory(equality)],[146,1097]),
[iquote('0:Rew:146.0,1097.0')] ).
cnf(1358,plain,
equal(p(index_21),index_15),
inference(rew,[status(thm),theory(equality)],[1356,619]),
[iquote('0:Rew:1356.0,619.0')] ).
cnf(1360,plain,
equal(store(queue_17,tail,index_21),q11),
inference(rew,[status(thm),theory(equality)],[1356,372]),
[iquote('0:Rew:1356.0,372.0')] ).
cnf(1361,plain,
equal(index_186,index_189),
inference(rew,[status(thm),theory(equality)],[139,1098]),
[iquote('0:Rew:139.0,1098.0')] ).
cnf(1362,plain,
equal(s(index_183),index_189),
inference(rew,[status(thm),theory(equality)],[1361,138]),
[iquote('0:Rew:1361.0,138.0')] ).
cnf(1363,plain,
equal(p(index_189),index_183),
inference(rew,[status(thm),theory(equality)],[1361,617]),
[iquote('0:Rew:1361.0,617.0')] ).
cnf(1365,plain,
equal(store(queue_185,tail,index_189),q37),
inference(rew,[status(thm),theory(equality)],[1361,373]),
[iquote('0:Rew:1361.0,373.0')] ).
cnf(1366,plain,
equal(index_180,index_183),
inference(rew,[status(thm),theory(equality)],[137,1099]),
[iquote('0:Rew:137.0,1099.0')] ).
cnf(1367,plain,
equal(s(index_177),index_183),
inference(rew,[status(thm),theory(equality)],[1366,136]),
[iquote('0:Rew:1366.0,136.0')] ).
cnf(1370,plain,
equal(store(queue_179,tail,index_183),q36),
inference(rew,[status(thm),theory(equality)],[1366,374]),
[iquote('0:Rew:1366.0,374.0')] ).
cnf(1371,plain,
equal(index_174,index_177),
inference(rew,[status(thm),theory(equality)],[134,1100]),
[iquote('0:Rew:134.0,1100.0')] ).
cnf(1372,plain,
equal(s(index_171),index_177),
inference(rew,[status(thm),theory(equality)],[1371,133]),
[iquote('0:Rew:1371.0,133.0')] ).
cnf(1375,plain,
equal(store(queue_173,tail,index_177),q35),
inference(rew,[status(thm),theory(equality)],[1371,375]),
[iquote('0:Rew:1371.0,375.0')] ).
cnf(1376,plain,
equal(index_168,index_171),
inference(rew,[status(thm),theory(equality)],[132,1101]),
[iquote('0:Rew:132.0,1101.0')] ).
cnf(1377,plain,
equal(s(index_165),index_171),
inference(rew,[status(thm),theory(equality)],[1376,131]),
[iquote('0:Rew:1376.0,131.0')] ).
cnf(1380,plain,
equal(store(queue_167,tail,index_171),q34),
inference(rew,[status(thm),theory(equality)],[1376,376]),
[iquote('0:Rew:1376.0,376.0')] ).
cnf(1381,plain,
equal(index_162,index_165),
inference(rew,[status(thm),theory(equality)],[130,1102]),
[iquote('0:Rew:130.0,1102.0')] ).
cnf(1382,plain,
equal(s(index_159),index_165),
inference(rew,[status(thm),theory(equality)],[1381,129]),
[iquote('0:Rew:1381.0,129.0')] ).
cnf(1385,plain,
equal(store(queue_161,tail,index_165),q33),
inference(rew,[status(thm),theory(equality)],[1381,377]),
[iquote('0:Rew:1381.0,377.0')] ).
cnf(1386,plain,
equal(index_156,index_159),
inference(rew,[status(thm),theory(equality)],[128,1103]),
[iquote('0:Rew:128.0,1103.0')] ).
cnf(1387,plain,
equal(s(index_153),index_159),
inference(rew,[status(thm),theory(equality)],[1386,127]),
[iquote('0:Rew:1386.0,127.0')] ).
cnf(1390,plain,
equal(store(queue_155,tail,index_159),q32),
inference(rew,[status(thm),theory(equality)],[1386,378]),
[iquote('0:Rew:1386.0,378.0')] ).
cnf(1391,plain,
equal(index_150,index_153),
inference(rew,[status(thm),theory(equality)],[126,1104]),
[iquote('0:Rew:126.0,1104.0')] ).
cnf(1392,plain,
equal(s(index_147),index_153),
inference(rew,[status(thm),theory(equality)],[1391,125]),
[iquote('0:Rew:1391.0,125.0')] ).
cnf(1395,plain,
equal(store(queue_149,tail,index_153),q31),
inference(rew,[status(thm),theory(equality)],[1391,379]),
[iquote('0:Rew:1391.0,379.0')] ).
cnf(1396,plain,
equal(index_144,index_147),
inference(rew,[status(thm),theory(equality)],[123,1105]),
[iquote('0:Rew:123.0,1105.0')] ).
cnf(1397,plain,
equal(s(index_141),index_147),
inference(rew,[status(thm),theory(equality)],[1396,122]),
[iquote('0:Rew:1396.0,122.0')] ).
cnf(1400,plain,
equal(store(queue_143,tail,index_147),q30),
inference(rew,[status(thm),theory(equality)],[1396,380]),
[iquote('0:Rew:1396.0,380.0')] ).
cnf(1401,plain,
equal(index_138,index_201),
inference(rew,[status(thm),theory(equality)],[143,1106]),
[iquote('0:Rew:143.0,1106.0')] ).
cnf(1403,plain,
equal(p(index_201),index_135),
inference(rew,[status(thm),theory(equality)],[1401,626]),
[iquote('0:Rew:1401.0,626.0')] ).
cnf(1405,plain,
equal(store(queue_137,tail,index_201),q3),
inference(rew,[status(thm),theory(equality)],[1401,381]),
[iquote('0:Rew:1401.0,381.0')] ).
cnf(1406,plain,
equal(index_132,index_141),
inference(rew,[status(thm),theory(equality)],[121,1107]),
[iquote('0:Rew:121.0,1107.0')] ).
cnf(1407,plain,
equal(s(index_129),index_141),
inference(rew,[status(thm),theory(equality)],[1406,118]),
[iquote('0:Rew:1406.0,118.0')] ).
cnf(1410,plain,
equal(store(queue_131,tail,index_141),q29),
inference(rew,[status(thm),theory(equality)],[1406,382]),
[iquote('0:Rew:1406.0,382.0')] ).
cnf(1411,plain,
equal(index_12,index_15),
inference(rew,[status(thm),theory(equality)],[124,1108]),
[iquote('0:Rew:124.0,1108.0')] ).
cnf(1412,plain,
equal(s(index_9),index_15),
inference(rew,[status(thm),theory(equality)],[1411,113]),
[iquote('0:Rew:1411.0,113.0')] ).
cnf(1413,plain,
equal(p(index_15),index_9),
inference(rew,[status(thm),theory(equality)],[1411,630]),
[iquote('0:Rew:1411.0,630.0')] ).
cnf(1415,plain,
equal(store(queue_11,tail,index_15),q10),
inference(rew,[status(thm),theory(equality)],[1411,383]),
[iquote('0:Rew:1411.0,383.0')] ).
cnf(1416,plain,
equal(index_126,index_129),
inference(rew,[status(thm),theory(equality)],[117,1109]),
[iquote('0:Rew:117.0,1109.0')] ).
cnf(1417,plain,
equal(s(index_123),index_129),
inference(rew,[status(thm),theory(equality)],[1416,116]),
[iquote('0:Rew:1416.0,116.0')] ).
cnf(1420,plain,
equal(store(queue_125,tail,index_129),q28),
inference(rew,[status(thm),theory(equality)],[1416,384]),
[iquote('0:Rew:1416.0,384.0')] ).
cnf(1421,plain,
equal(index_120,index_123),
inference(rew,[status(thm),theory(equality)],[115,1110]),
[iquote('0:Rew:115.0,1110.0')] ).
cnf(1422,plain,
equal(s(index_117),index_123),
inference(rew,[status(thm),theory(equality)],[1421,114]),
[iquote('0:Rew:1421.0,114.0')] ).
cnf(1425,plain,
equal(store(queue_119,tail,index_123),q27),
inference(rew,[status(thm),theory(equality)],[1421,385]),
[iquote('0:Rew:1421.0,385.0')] ).
cnf(1426,plain,
equal(index_114,index_117),
inference(rew,[status(thm),theory(equality)],[112,1111]),
[iquote('0:Rew:112.0,1111.0')] ).
cnf(1427,plain,
equal(s(index_111),index_117),
inference(rew,[status(thm),theory(equality)],[1426,111]),
[iquote('0:Rew:1426.0,111.0')] ).
cnf(1430,plain,
equal(store(queue_113,tail,index_117),q26),
inference(rew,[status(thm),theory(equality)],[1426,386]),
[iquote('0:Rew:1426.0,386.0')] ).
cnf(1431,plain,
equal(index_108,index_111),
inference(rew,[status(thm),theory(equality)],[110,1112]),
[iquote('0:Rew:110.0,1112.0')] ).
cnf(1432,plain,
equal(s(index_105),index_111),
inference(rew,[status(thm),theory(equality)],[1431,109]),
[iquote('0:Rew:1431.0,109.0')] ).
cnf(1433,plain,
equal(p(index_111),index_105),
inference(rew,[status(thm),theory(equality)],[1431,632]),
[iquote('0:Rew:1431.0,632.0')] ).
cnf(1435,plain,
equal(store(queue_107,tail,index_111),q25),
inference(rew,[status(thm),theory(equality)],[1431,387]),
[iquote('0:Rew:1431.0,387.0')] ).
cnf(1436,plain,
equal(index_102,index_105),
inference(rew,[status(thm),theory(equality)],[108,1113]),
[iquote('0:Rew:108.0,1113.0')] ).
cnf(1437,plain,
equal(s(index_99),index_105),
inference(rew,[status(thm),theory(equality)],[1436,107]),
[iquote('0:Rew:1436.0,107.0')] ).
cnf(1438,plain,
equal(p(index_105),index_99),
inference(rew,[status(thm),theory(equality)],[1436,633]),
[iquote('0:Rew:1436.0,633.0')] ).
cnf(1440,plain,
equal(store(queue_101,tail,index_105),q24),
inference(rew,[status(thm),theory(equality)],[1436,388]),
[iquote('0:Rew:1436.0,388.0')] ).
cnf(1948,plain,
equal(p(index_93),s(index_99)),
inference(spr,[status(thm),theory(equality)],[1208,964]),
[iquote('0:SpR:1208.0,964.0')] ).
cnf(1995,plain,
equal(index_87,index_105),
inference(rew,[status(thm),theory(equality)],[1214,1948,1437]),
[iquote('0:Rew:1214.0,1948.0,1437.0,1948.0')] ).
cnf(1999,plain,
equal(s(index_105),index_93),
inference(rew,[status(thm),theory(equality)],[1995,1213]),
[iquote('0:Rew:1995.0,1213.0')] ).
cnf(2003,plain,
equal(p(index_105),index_81),
inference(rew,[status(thm),theory(equality)],[1995,1219]),
[iquote('0:Rew:1995.0,1219.0')] ).
cnf(2005,plain,
equal(store(queue_83,tail,index_105),q21),
inference(rew,[status(thm),theory(equality)],[1995,1220]),
[iquote('0:Rew:1995.0,1220.0')] ).
cnf(2007,plain,
equal(index_93,index_111),
inference(rew,[status(thm),theory(equality)],[1432,1999]),
[iquote('0:Rew:1432.0,1999.0')] ).
cnf(2011,plain,
equal(s(index_111),index_99),
inference(rew,[status(thm),theory(equality)],[2007,1208]),
[iquote('0:Rew:2007.0,1208.0')] ).
cnf(2012,plain,
equal(p(index_99),index_111),
inference(rew,[status(thm),theory(equality)],[2007,1209]),
[iquote('0:Rew:2007.0,1209.0')] ).
cnf(2014,plain,
equal(store(queue_89,tail,index_111),q22),
inference(rew,[status(thm),theory(equality)],[2007,1215]),
[iquote('0:Rew:2007.0,1215.0')] ).
cnf(2018,plain,
equal(index_81,index_99),
inference(rew,[status(thm),theory(equality)],[1438,2003]),
[iquote('0:Rew:1438.0,2003.0')] ).
cnf(2023,plain,
equal(p(index_99),index_75),
inference(rew,[status(thm),theory(equality)],[2018,1224]),
[iquote('0:Rew:2018.0,1224.0')] ).
cnf(2025,plain,
equal(store(queue_77,tail,index_99),q20),
inference(rew,[status(thm),theory(equality)],[2018,1225]),
[iquote('0:Rew:2018.0,1225.0')] ).
cnf(2029,plain,
equal(index_117,index_99),
inference(rew,[status(thm),theory(equality)],[1427,2011]),
[iquote('0:Rew:1427.0,2011.0')] ).
cnf(2033,plain,
equal(s(index_99),index_123),
inference(rew,[status(thm),theory(equality)],[2029,1422]),
[iquote('0:Rew:2029.0,1422.0')] ).
cnf(2036,plain,
equal(s(index_111),index_99),
inference(rew,[status(thm),theory(equality)],[2029,1427]),
[iquote('0:Rew:2029.0,1427.0')] ).
cnf(2040,plain,
equal(store(queue_113,tail,index_99),q26),
inference(rew,[status(thm),theory(equality)],[2029,1430]),
[iquote('0:Rew:2029.0,1430.0')] ).
cnf(2041,plain,
equal(index_75,index_111),
inference(rew,[status(thm),theory(equality)],[2012,2023]),
[iquote('0:Rew:2012.0,2023.0')] ).
cnf(2046,plain,
equal(p(index_111),index_63),
inference(rew,[status(thm),theory(equality)],[2041,1239]),
[iquote('0:Rew:2041.0,1239.0')] ).
cnf(2048,plain,
equal(store(queue_65,tail,index_111),q19),
inference(rew,[status(thm),theory(equality)],[2041,1240]),
[iquote('0:Rew:2041.0,1240.0')] ).
cnf(2052,plain,
equal(index_123,index_105),
inference(rew,[status(thm),theory(equality)],[1437,2033]),
[iquote('0:Rew:1437.0,2033.0')] ).
cnf(2056,plain,
equal(s(index_105),index_129),
inference(rew,[status(thm),theory(equality)],[2052,1417]),
[iquote('0:Rew:2052.0,1417.0')] ).
cnf(2060,plain,
equal(store(queue_119,tail,index_105),q27),
inference(rew,[status(thm),theory(equality)],[2052,1425]),
[iquote('0:Rew:2052.0,1425.0')] ).
cnf(2063,plain,
equal(index_63,index_105),
inference(rew,[status(thm),theory(equality)],[1433,2046]),
[iquote('0:Rew:1433.0,2046.0')] ).
cnf(2068,plain,
equal(p(index_105),index_57),
inference(rew,[status(thm),theory(equality)],[2063,1244]),
[iquote('0:Rew:2063.0,1244.0')] ).
cnf(2070,plain,
equal(store(queue_59,tail,index_105),q18),
inference(rew,[status(thm),theory(equality)],[2063,1246]),
[iquote('0:Rew:2063.0,1246.0')] ).
cnf(2074,plain,
equal(index_129,index_111),
inference(rew,[status(thm),theory(equality)],[1432,2056]),
[iquote('0:Rew:1432.0,2056.0')] ).
cnf(2078,plain,
equal(s(index_111),index_141),
inference(rew,[status(thm),theory(equality)],[2074,1407]),
[iquote('0:Rew:2074.0,1407.0')] ).
cnf(2082,plain,
equal(store(queue_125,tail,index_111),q28),
inference(rew,[status(thm),theory(equality)],[2074,1420]),
[iquote('0:Rew:2074.0,1420.0')] ).
cnf(2085,plain,
equal(index_57,index_99),
inference(rew,[status(thm),theory(equality)],[1438,2068]),
[iquote('0:Rew:1438.0,2068.0')] ).
cnf(2090,plain,
equal(p(index_99),index_51),
inference(rew,[status(thm),theory(equality)],[2085,1249]),
[iquote('0:Rew:2085.0,1249.0')] ).
cnf(2092,plain,
equal(store(queue_53,tail,index_99),q17),
inference(rew,[status(thm),theory(equality)],[2085,1251]),
[iquote('0:Rew:2085.0,1251.0')] ).
cnf(2096,plain,
equal(index_141,index_99),
inference(rew,[status(thm),theory(equality)],[2036,2078]),
[iquote('0:Rew:2036.0,2078.0')] ).
cnf(2100,plain,
equal(s(index_99),index_147),
inference(rew,[status(thm),theory(equality)],[2096,1397]),
[iquote('0:Rew:2096.0,1397.0')] ).
cnf(2104,plain,
equal(store(queue_131,tail,index_99),q29),
inference(rew,[status(thm),theory(equality)],[2096,1410]),
[iquote('0:Rew:2096.0,1410.0')] ).
cnf(2107,plain,
equal(index_51,index_111),
inference(rew,[status(thm),theory(equality)],[2012,2090]),
[iquote('0:Rew:2012.0,2090.0')] ).
cnf(2112,plain,
equal(p(index_111),index_45),
inference(rew,[status(thm),theory(equality)],[2107,1254]),
[iquote('0:Rew:2107.0,1254.0')] ).
cnf(2114,plain,
equal(store(queue_47,tail,index_111),q16),
inference(rew,[status(thm),theory(equality)],[2107,1256]),
[iquote('0:Rew:2107.0,1256.0')] ).
cnf(2118,plain,
equal(index_147,index_105),
inference(rew,[status(thm),theory(equality)],[1437,2100]),
[iquote('0:Rew:1437.0,2100.0')] ).
cnf(2122,plain,
equal(s(index_105),index_153),
inference(rew,[status(thm),theory(equality)],[2118,1392]),
[iquote('0:Rew:2118.0,1392.0')] ).
cnf(2126,plain,
equal(store(queue_143,tail,index_105),q30),
inference(rew,[status(thm),theory(equality)],[2118,1400]),
[iquote('0:Rew:2118.0,1400.0')] ).
cnf(2129,plain,
equal(index_45,index_105),
inference(rew,[status(thm),theory(equality)],[1433,2112]),
[iquote('0:Rew:1433.0,2112.0')] ).
cnf(2134,plain,
equal(p(index_105),index_39),
inference(rew,[status(thm),theory(equality)],[2129,1259]),
[iquote('0:Rew:2129.0,1259.0')] ).
cnf(2136,plain,
equal(store(queue_41,tail,index_105),q15),
inference(rew,[status(thm),theory(equality)],[2129,1261]),
[iquote('0:Rew:2129.0,1261.0')] ).
cnf(2140,plain,
equal(index_153,index_111),
inference(rew,[status(thm),theory(equality)],[1432,2122]),
[iquote('0:Rew:1432.0,2122.0')] ).
cnf(2144,plain,
equal(s(index_111),index_159),
inference(rew,[status(thm),theory(equality)],[2140,1387]),
[iquote('0:Rew:2140.0,1387.0')] ).
cnf(2148,plain,
equal(store(queue_149,tail,index_111),q31),
inference(rew,[status(thm),theory(equality)],[2140,1395]),
[iquote('0:Rew:2140.0,1395.0')] ).
cnf(2151,plain,
equal(index_39,index_99),
inference(rew,[status(thm),theory(equality)],[1438,2134]),
[iquote('0:Rew:1438.0,2134.0')] ).
cnf(2156,plain,
equal(p(index_99),index_33),
inference(rew,[status(thm),theory(equality)],[2151,1264]),
[iquote('0:Rew:2151.0,1264.0')] ).
cnf(2158,plain,
equal(store(queue_35,tail,index_99),q14),
inference(rew,[status(thm),theory(equality)],[2151,1266]),
[iquote('0:Rew:2151.0,1266.0')] ).
cnf(2162,plain,
equal(index_159,index_99),
inference(rew,[status(thm),theory(equality)],[2036,2144]),
[iquote('0:Rew:2036.0,2144.0')] ).
cnf(2166,plain,
equal(s(index_99),index_165),
inference(rew,[status(thm),theory(equality)],[2162,1382]),
[iquote('0:Rew:2162.0,1382.0')] ).
cnf(2170,plain,
equal(store(queue_155,tail,index_99),q32),
inference(rew,[status(thm),theory(equality)],[2162,1390]),
[iquote('0:Rew:2162.0,1390.0')] ).
cnf(2173,plain,
equal(index_33,index_111),
inference(rew,[status(thm),theory(equality)],[2012,2156]),
[iquote('0:Rew:2012.0,2156.0')] ).
cnf(2178,plain,
equal(p(index_111),index_27),
inference(rew,[status(thm),theory(equality)],[2173,1269]),
[iquote('0:Rew:2173.0,1269.0')] ).
cnf(2180,plain,
equal(store(queue_29,tail,index_111),q13),
inference(rew,[status(thm),theory(equality)],[2173,1271]),
[iquote('0:Rew:2173.0,1271.0')] ).
cnf(2184,plain,
equal(index_165,index_105),
inference(rew,[status(thm),theory(equality)],[1437,2166]),
[iquote('0:Rew:1437.0,2166.0')] ).
cnf(2188,plain,
equal(s(index_105),index_171),
inference(rew,[status(thm),theory(equality)],[2184,1377]),
[iquote('0:Rew:2184.0,1377.0')] ).
cnf(2192,plain,
equal(store(queue_161,tail,index_105),q33),
inference(rew,[status(thm),theory(equality)],[2184,1385]),
[iquote('0:Rew:2184.0,1385.0')] ).
cnf(2195,plain,
equal(index_27,index_105),
inference(rew,[status(thm),theory(equality)],[1433,2178]),
[iquote('0:Rew:1433.0,2178.0')] ).
cnf(2200,plain,
equal(p(index_105),index_21),
inference(rew,[status(thm),theory(equality)],[2195,1299]),
[iquote('0:Rew:2195.0,1299.0')] ).
cnf(2203,plain,
equal(store(queue_23,tail,index_105),q12),
inference(rew,[status(thm),theory(equality)],[2195,1301]),
[iquote('0:Rew:2195.0,1301.0')] ).
cnf(2206,plain,
equal(index_171,index_111),
inference(rew,[status(thm),theory(equality)],[1432,2188]),
[iquote('0:Rew:1432.0,2188.0')] ).
cnf(2210,plain,
equal(s(index_111),index_177),
inference(rew,[status(thm),theory(equality)],[2206,1372]),
[iquote('0:Rew:2206.0,1372.0')] ).
cnf(2214,plain,
equal(store(queue_167,tail,index_111),q34),
inference(rew,[status(thm),theory(equality)],[2206,1380]),
[iquote('0:Rew:2206.0,1380.0')] ).
cnf(2217,plain,
equal(index_21,index_99),
inference(rew,[status(thm),theory(equality)],[1438,2200]),
[iquote('0:Rew:1438.0,2200.0')] ).
cnf(2222,plain,
equal(p(index_99),index_15),
inference(rew,[status(thm),theory(equality)],[2217,1358]),
[iquote('0:Rew:2217.0,1358.0')] ).
cnf(2225,plain,
equal(store(queue_17,tail,index_99),q11),
inference(rew,[status(thm),theory(equality)],[2217,1360]),
[iquote('0:Rew:2217.0,1360.0')] ).
cnf(2228,plain,
equal(index_177,index_99),
inference(rew,[status(thm),theory(equality)],[2036,2210]),
[iquote('0:Rew:2036.0,2210.0')] ).
cnf(2232,plain,
equal(s(index_99),index_183),
inference(rew,[status(thm),theory(equality)],[2228,1367]),
[iquote('0:Rew:2228.0,1367.0')] ).
cnf(2236,plain,
equal(store(queue_173,tail,index_99),q35),
inference(rew,[status(thm),theory(equality)],[2228,1375]),
[iquote('0:Rew:2228.0,1375.0')] ).
cnf(2239,plain,
equal(index_15,index_111),
inference(rew,[status(thm),theory(equality)],[2012,2222]),
[iquote('0:Rew:2012.0,2222.0')] ).
cnf(2243,plain,
equal(s(index_9),index_111),
inference(rew,[status(thm),theory(equality)],[2239,1412]),
[iquote('0:Rew:2239.0,1412.0')] ).
cnf(2244,plain,
equal(p(index_111),index_9),
inference(rew,[status(thm),theory(equality)],[2239,1413]),
[iquote('0:Rew:2239.0,1413.0')] ).
cnf(2247,plain,
equal(store(queue_11,tail,index_111),q10),
inference(rew,[status(thm),theory(equality)],[2239,1415]),
[iquote('0:Rew:2239.0,1415.0')] ).
cnf(2250,plain,
equal(index_183,index_105),
inference(rew,[status(thm),theory(equality)],[1437,2232]),
[iquote('0:Rew:1437.0,2232.0')] ).
cnf(2254,plain,
equal(s(index_105),index_189),
inference(rew,[status(thm),theory(equality)],[2250,1362]),
[iquote('0:Rew:2250.0,1362.0')] ).
cnf(2255,plain,
equal(p(index_189),index_105),
inference(rew,[status(thm),theory(equality)],[2250,1363]),
[iquote('0:Rew:2250.0,1363.0')] ).
cnf(2258,plain,
equal(store(queue_179,tail,index_105),q36),
inference(rew,[status(thm),theory(equality)],[2250,1370]),
[iquote('0:Rew:2250.0,1370.0')] ).
cnf(2261,plain,
equal(index_105,index_9),
inference(rew,[status(thm),theory(equality)],[1433,2244]),
[iquote('0:Rew:1433.0,2244.0')] ).
cnf(2268,plain,
equal(s(index_99),index_9),
inference(rew,[status(thm),theory(equality)],[2261,1437]),
[iquote('0:Rew:2261.0,1437.0')] ).
cnf(2269,plain,
equal(p(index_9),index_99),
inference(rew,[status(thm),theory(equality)],[2261,1438]),
[iquote('0:Rew:2261.0,1438.0')] ).
cnf(2272,plain,
equal(store(queue_101,tail,index_9),q24),
inference(rew,[status(thm),theory(equality)],[2261,1440]),
[iquote('0:Rew:2261.0,1440.0')] ).
cnf(2289,plain,
equal(index_189,index_111),
inference(rew,[status(thm),theory(equality)],[2243,2254,2261]),
[iquote('0:Rew:2243.0,2254.0,2261.0,2254.0')] ).
cnf(2293,plain,
equal(s(index_111),index_195),
inference(rew,[status(thm),theory(equality)],[2289,1352]),
[iquote('0:Rew:2289.0,1352.0')] ).
cnf(2297,plain,
equal(store(queue_185,tail,index_111),q37),
inference(rew,[status(thm),theory(equality)],[2289,1365]),
[iquote('0:Rew:2289.0,1365.0')] ).
cnf(2298,plain,
equal(p(index_111),index_9),
inference(rew,[status(thm),theory(equality)],[2289,2255,2261]),
[iquote('0:Rew:2289.0,2255.0,2261.0,2255.0')] ).
cnf(2300,plain,
equal(index_273,index_99),
inference(rew,[status(thm),theory(equality)],[1274,2269]),
[iquote('0:Rew:1274.0,2269.0')] ).
cnf(2306,plain,
equal(p(index_9),index_99),
inference(rew,[status(thm),theory(equality)],[2300,1274]),
[iquote('0:Rew:2300.0,1274.0')] ).
cnf(2308,plain,
equal(p(index_99),index_267),
inference(rew,[status(thm),theory(equality)],[2300,1279]),
[iquote('0:Rew:2300.0,1279.0')] ).
cnf(2311,plain,
equal(store(queue_269,tail,index_99),q8),
inference(rew,[status(thm),theory(equality)],[2300,1281]),
[iquote('0:Rew:2300.0,1281.0')] ).
cnf(2312,plain,
equal(index_195,index_99),
inference(rew,[status(thm),theory(equality)],[2036,2293]),
[iquote('0:Rew:2036.0,2293.0')] ).
cnf(2316,plain,
equal(s(index_99),index_207),
inference(rew,[status(thm),theory(equality)],[2312,1347]),
[iquote('0:Rew:2312.0,1347.0')] ).
cnf(2320,plain,
equal(store(queue_191,tail,index_99),q38),
inference(rew,[status(thm),theory(equality)],[2312,1355]),
[iquote('0:Rew:2312.0,1355.0')] ).
cnf(2323,plain,
equal(index_267,index_111),
inference(rew,[status(thm),theory(equality)],[2012,2308]),
[iquote('0:Rew:2012.0,2308.0')] ).
cnf(2328,plain,
equal(p(index_111),index_261),
inference(rew,[status(thm),theory(equality)],[2323,1284]),
[iquote('0:Rew:2323.0,1284.0')] ).
cnf(2331,plain,
equal(store(queue_263,tail,index_111),q7),
inference(rew,[status(thm),theory(equality)],[2323,1286]),
[iquote('0:Rew:2323.0,1286.0')] ).
cnf(2334,plain,
equal(index_207,index_9),
inference(rew,[status(thm),theory(equality)],[2268,2316]),
[iquote('0:Rew:2268.0,2316.0')] ).
cnf(2338,plain,
equal(s(index_9),index_213),
inference(rew,[status(thm),theory(equality)],[2334,1337]),
[iquote('0:Rew:2334.0,1337.0')] ).
cnf(2342,plain,
equal(store(queue_197,tail,index_9),q39),
inference(rew,[status(thm),theory(equality)],[2334,1350]),
[iquote('0:Rew:2334.0,1350.0')] ).
cnf(2345,plain,
equal(index_261,index_9),
inference(rew,[status(thm),theory(equality)],[2298,2328]),
[iquote('0:Rew:2298.0,2328.0')] ).
cnf(2350,plain,
equal(p(index_9),index_255),
inference(rew,[status(thm),theory(equality)],[2345,1289]),
[iquote('0:Rew:2345.0,1289.0')] ).
cnf(2353,plain,
equal(store(queue_257,tail,index_9),q6),
inference(rew,[status(thm),theory(equality)],[2345,1291]),
[iquote('0:Rew:2345.0,1291.0')] ).
cnf(2356,plain,
equal(index_213,index_111),
inference(rew,[status(thm),theory(equality)],[2243,2338]),
[iquote('0:Rew:2243.0,2338.0')] ).
cnf(2360,plain,
equal(s(index_111),index_219),
inference(rew,[status(thm),theory(equality)],[2356,1332]),
[iquote('0:Rew:2356.0,1332.0')] ).
cnf(2364,plain,
equal(store(queue_209,tail,index_111),q40),
inference(rew,[status(thm),theory(equality)],[2356,1340]),
[iquote('0:Rew:2356.0,1340.0')] ).
cnf(2367,plain,
equal(index_255,index_99),
inference(rew,[status(thm),theory(equality)],[2306,2350]),
[iquote('0:Rew:2306.0,2350.0')] ).
cnf(2372,plain,
equal(p(index_99),index_249),
inference(rew,[status(thm),theory(equality)],[2367,1294]),
[iquote('0:Rew:2367.0,1294.0')] ).
cnf(2375,plain,
equal(store(queue_251,tail,index_99),q5),
inference(rew,[status(thm),theory(equality)],[2367,1296]),
[iquote('0:Rew:2367.0,1296.0')] ).
cnf(2378,plain,
equal(index_219,index_99),
inference(rew,[status(thm),theory(equality)],[2036,2360]),
[iquote('0:Rew:2036.0,2360.0')] ).
cnf(2382,plain,
equal(s(index_99),index_225),
inference(rew,[status(thm),theory(equality)],[2378,1327]),
[iquote('0:Rew:2378.0,1327.0')] ).
cnf(2386,plain,
equal(store(queue_215,tail,index_99),q41),
inference(rew,[status(thm),theory(equality)],[2378,1335]),
[iquote('0:Rew:2378.0,1335.0')] ).
cnf(2389,plain,
equal(index_249,index_111),
inference(rew,[status(thm),theory(equality)],[2012,2372]),
[iquote('0:Rew:2012.0,2372.0')] ).
cnf(2394,plain,
equal(p(index_111),index_201),
inference(rew,[status(thm),theory(equality)],[2389,1343]),
[iquote('0:Rew:2389.0,1343.0')] ).
cnf(2397,plain,
equal(store(queue_203,tail,index_111),q4),
inference(rew,[status(thm),theory(equality)],[2389,1345]),
[iquote('0:Rew:2389.0,1345.0')] ).
cnf(2400,plain,
equal(index_225,index_9),
inference(rew,[status(thm),theory(equality)],[2268,2382]),
[iquote('0:Rew:2268.0,2382.0')] ).
cnf(2404,plain,
equal(s(index_9),index_231),
inference(rew,[status(thm),theory(equality)],[2400,1322]),
[iquote('0:Rew:2400.0,1322.0')] ).
cnf(2408,plain,
equal(store(queue_221,tail,index_9),q42),
inference(rew,[status(thm),theory(equality)],[2400,1330]),
[iquote('0:Rew:2400.0,1330.0')] ).
cnf(2411,plain,
equal(index_201,index_9),
inference(rew,[status(thm),theory(equality)],[2298,2394]),
[iquote('0:Rew:2298.0,2394.0')] ).
cnf(2416,plain,
equal(p(index_9),index_135),
inference(rew,[status(thm),theory(equality)],[2411,1403]),
[iquote('0:Rew:2411.0,1403.0')] ).
cnf(2419,plain,
equal(store(queue_137,tail,index_9),q3),
inference(rew,[status(thm),theory(equality)],[2411,1405]),
[iquote('0:Rew:2411.0,1405.0')] ).
cnf(2422,plain,
equal(index_231,index_111),
inference(rew,[status(thm),theory(equality)],[2243,2404]),
[iquote('0:Rew:2243.0,2404.0')] ).
cnf(2426,plain,
equal(s(index_111),index_237),
inference(rew,[status(thm),theory(equality)],[2422,1317]),
[iquote('0:Rew:2422.0,1317.0')] ).
cnf(2430,plain,
equal(store(queue_227,tail,index_111),q43),
inference(rew,[status(thm),theory(equality)],[2422,1325]),
[iquote('0:Rew:2422.0,1325.0')] ).
cnf(2433,plain,
equal(index_135,index_99),
inference(rew,[status(thm),theory(equality)],[2306,2416]),
[iquote('0:Rew:2306.0,2416.0')] ).
cnf(2438,plain,
equal(p(index_99),index_69),
inference(rew,[status(thm),theory(equality)],[2433,1229]),
[iquote('0:Rew:2433.0,1229.0')] ).
cnf(2440,plain,
equal(store(queue_71,tail,index_99),q2),
inference(rew,[status(thm),theory(equality)],[2433,1230]),
[iquote('0:Rew:2433.0,1230.0')] ).
cnf(2444,plain,
equal(index_237,index_99),
inference(rew,[status(thm),theory(equality)],[2036,2426]),
[iquote('0:Rew:2036.0,2426.0')] ).
cnf(2448,plain,
equal(s(index_99),index_243),
inference(rew,[status(thm),theory(equality)],[2444,1312]),
[iquote('0:Rew:2444.0,1312.0')] ).
cnf(2452,plain,
equal(store(queue_233,tail,index_99),q44),
inference(rew,[status(thm),theory(equality)],[2444,1320]),
[iquote('0:Rew:2444.0,1320.0')] ).
cnf(2456,plain,
equal(index_69,index_111),
inference(rew,[status(thm),theory(equality)],[2012,2438]),
[iquote('0:Rew:2012.0,2438.0')] ).
cnf(2461,plain,
equal(p(index_111),index_3),
inference(rew,[status(thm),theory(equality)],[2456,1234]),
[iquote('0:Rew:2456.0,1234.0')] ).
cnf(2463,plain,
equal(store(queue_5,tail,index_111),q1),
inference(rew,[status(thm),theory(equality)],[2456,1235]),
[iquote('0:Rew:2456.0,1235.0')] ).
cnf(2467,plain,
equal(index_243,index_9),
inference(rew,[status(thm),theory(equality)],[2268,2448]),
[iquote('0:Rew:2268.0,2448.0')] ).
cnf(2468,plain,
equal(s(index_9),index_246),
inference(rew,[status(thm),theory(equality)],[2467,160]),
[iquote('0:Rew:2467.0,160.0')] ).
cnf(2472,plain,
equal(store(earray_242,index_9,e45),earray_244),
inference(rew,[status(thm),theory(equality)],[2467,65]),
[iquote('0:Rew:2467.0,65.0')] ).
cnf(2475,plain,
equal(select(earray_278,index_9),elem_283),
inference(rew,[status(thm),theory(equality)],[2467,1308]),
[iquote('0:Rew:2467.0,1308.0')] ).
cnf(2476,plain,
equal(select(earray_244,index_9),e45),
inference(rew,[status(thm),theory(equality)],[2467,1179]),
[iquote('0:Rew:2467.0,1179.0')] ).
cnf(2477,plain,
equal(store(queue_239,tail,index_9),q45),
inference(rew,[status(thm),theory(equality)],[2467,1315]),
[iquote('0:Rew:2467.0,1315.0')] ).
cnf(2480,plain,
equal(index_3,index_9),
inference(rew,[status(thm),theory(equality)],[2298,2461]),
[iquote('0:Rew:2298.0,2461.0')] ).
cnf(2481,plain,
equal(select(q0,tail),index_9),
inference(rew,[status(thm),theory(equality)],[2480,175]),
[iquote('0:Rew:2480.0,175.0')] ).
cnf(2486,plain,
equal(index_246,index_111),
inference(rew,[status(thm),theory(equality)],[2243,2468]),
[iquote('0:Rew:2243.0,2468.0')] ).
cnf(2487,plain,
equal(store(queue_245,tail,index_111),q46),
inference(rew,[status(thm),theory(equality)],[2486,362]),
[iquote('0:Rew:2486.0,362.0')] ).
cnf(2554,plain,
equal(store(queue_83,tail,index_9),q21),
inference(rew,[status(thm),theory(equality)],[2261,2005]),
[iquote('0:Rew:2261.0,2005.0')] ).
cnf(2556,plain,
equal(store(queue_119,tail,index_9),q27),
inference(rew,[status(thm),theory(equality)],[2261,2060]),
[iquote('0:Rew:2261.0,2060.0')] ).
cnf(2558,plain,
equal(store(queue_59,tail,index_9),q18),
inference(rew,[status(thm),theory(equality)],[2261,2070]),
[iquote('0:Rew:2261.0,2070.0')] ).
cnf(2560,plain,
equal(store(queue_143,tail,index_9),q30),
inference(rew,[status(thm),theory(equality)],[2261,2126]),
[iquote('0:Rew:2261.0,2126.0')] ).
cnf(2562,plain,
equal(store(queue_41,tail,index_9),q15),
inference(rew,[status(thm),theory(equality)],[2261,2136]),
[iquote('0:Rew:2261.0,2136.0')] ).
cnf(2564,plain,
equal(store(queue_161,tail,index_9),q33),
inference(rew,[status(thm),theory(equality)],[2261,2192]),
[iquote('0:Rew:2261.0,2192.0')] ).
cnf(2566,plain,
equal(store(queue_23,tail,index_9),q12),
inference(rew,[status(thm),theory(equality)],[2261,2203]),
[iquote('0:Rew:2261.0,2203.0')] ).
cnf(2568,plain,
equal(store(queue_179,tail,index_9),q36),
inference(rew,[status(thm),theory(equality)],[2261,2258]),
[iquote('0:Rew:2261.0,2258.0')] ).
cnf(2944,plain,
( equal(tail,u)
| equal(select(queue_95,u),select(q23,u)) ),
inference(spr,[status(thm),theory(equality)],[1210,2]),
[iquote('0:SpR:1210.0,2.1')] ).
cnf(2945,plain,
( equal(tail,u)
| equal(select(queue_77,u),select(q20,u)) ),
inference(spr,[status(thm),theory(equality)],[2025,2]),
[iquote('0:SpR:2025.0,2.1')] ).
cnf(2946,plain,
( equal(tail,u)
| equal(select(queue_113,u),select(q26,u)) ),
inference(spr,[status(thm),theory(equality)],[2040,2]),
[iquote('0:SpR:2040.0,2.1')] ).
cnf(2947,plain,
( equal(tail,u)
| equal(select(queue_53,u),select(q17,u)) ),
inference(spr,[status(thm),theory(equality)],[2092,2]),
[iquote('0:SpR:2092.0,2.1')] ).
cnf(2948,plain,
( equal(tail,u)
| equal(select(queue_131,u),select(q29,u)) ),
inference(spr,[status(thm),theory(equality)],[2104,2]),
[iquote('0:SpR:2104.0,2.1')] ).
cnf(2949,plain,
( equal(tail,u)
| equal(select(queue_35,u),select(q14,u)) ),
inference(spr,[status(thm),theory(equality)],[2158,2]),
[iquote('0:SpR:2158.0,2.1')] ).
cnf(2950,plain,
( equal(tail,u)
| equal(select(queue_155,u),select(q32,u)) ),
inference(spr,[status(thm),theory(equality)],[2170,2]),
[iquote('0:SpR:2170.0,2.1')] ).
cnf(2951,plain,
( equal(tail,u)
| equal(select(queue_17,u),select(q11,u)) ),
inference(spr,[status(thm),theory(equality)],[2225,2]),
[iquote('0:SpR:2225.0,2.1')] ).
cnf(2952,plain,
( equal(tail,u)
| equal(select(queue_173,u),select(q35,u)) ),
inference(spr,[status(thm),theory(equality)],[2236,2]),
[iquote('0:SpR:2236.0,2.1')] ).
cnf(2953,plain,
( equal(tail,u)
| equal(select(queue_269,u),select(q8,u)) ),
inference(spr,[status(thm),theory(equality)],[2311,2]),
[iquote('0:SpR:2311.0,2.1')] ).
cnf(2954,plain,
( equal(tail,u)
| equal(select(queue_191,u),select(q38,u)) ),
inference(spr,[status(thm),theory(equality)],[2320,2]),
[iquote('0:SpR:2320.0,2.1')] ).
cnf(2955,plain,
( equal(tail,u)
| equal(select(queue_251,u),select(q5,u)) ),
inference(spr,[status(thm),theory(equality)],[2375,2]),
[iquote('0:SpR:2375.0,2.1')] ).
cnf(2956,plain,
( equal(tail,u)
| equal(select(queue_215,u),select(q41,u)) ),
inference(spr,[status(thm),theory(equality)],[2386,2]),
[iquote('0:SpR:2386.0,2.1')] ).
cnf(2957,plain,
( equal(tail,u)
| equal(select(queue_71,u),select(q2,u)) ),
inference(spr,[status(thm),theory(equality)],[2440,2]),
[iquote('0:SpR:2440.0,2.1')] ).
cnf(2958,plain,
( equal(tail,u)
| equal(select(queue_233,u),select(q44,u)) ),
inference(spr,[status(thm),theory(equality)],[2452,2]),
[iquote('0:SpR:2452.0,2.1')] ).
cnf(2959,plain,
( equal(tail,u)
| equal(select(queue_275,u),select(q9,u)) ),
inference(spr,[status(thm),theory(equality)],[1276,2]),
[iquote('0:SpR:1276.0,2.1')] ).
cnf(2960,plain,
( equal(tail,u)
| equal(select(queue_83,u),select(q21,u)) ),
inference(spr,[status(thm),theory(equality)],[2554,2]),
[iquote('0:SpR:2554.0,2.1')] ).
cnf(2961,plain,
( equal(tail,u)
| equal(select(queue_119,u),select(q27,u)) ),
inference(spr,[status(thm),theory(equality)],[2556,2]),
[iquote('0:SpR:2556.0,2.1')] ).
cnf(2962,plain,
( equal(tail,u)
| equal(select(queue_59,u),select(q18,u)) ),
inference(spr,[status(thm),theory(equality)],[2558,2]),
[iquote('0:SpR:2558.0,2.1')] ).
cnf(2963,plain,
( equal(tail,u)
| equal(select(queue_143,u),select(q30,u)) ),
inference(spr,[status(thm),theory(equality)],[2560,2]),
[iquote('0:SpR:2560.0,2.1')] ).
cnf(2964,plain,
( equal(tail,u)
| equal(select(queue_41,u),select(q15,u)) ),
inference(spr,[status(thm),theory(equality)],[2562,2]),
[iquote('0:SpR:2562.0,2.1')] ).
cnf(2965,plain,
( equal(tail,u)
| equal(select(queue_161,u),select(q33,u)) ),
inference(spr,[status(thm),theory(equality)],[2564,2]),
[iquote('0:SpR:2564.0,2.1')] ).
cnf(2966,plain,
( equal(tail,u)
| equal(select(queue_23,u),select(q12,u)) ),
inference(spr,[status(thm),theory(equality)],[2566,2]),
[iquote('0:SpR:2566.0,2.1')] ).
cnf(2967,plain,
( equal(tail,u)
| equal(select(queue_179,u),select(q36,u)) ),
inference(spr,[status(thm),theory(equality)],[2568,2]),
[iquote('0:SpR:2568.0,2.1')] ).
cnf(2968,plain,
( equal(tail,u)
| equal(select(queue_101,u),select(q24,u)) ),
inference(spr,[status(thm),theory(equality)],[2272,2]),
[iquote('0:SpR:2272.0,2.1')] ).
cnf(2969,plain,
( equal(tail,u)
| equal(select(queue_197,u),select(q39,u)) ),
inference(spr,[status(thm),theory(equality)],[2342,2]),
[iquote('0:SpR:2342.0,2.1')] ).
cnf(2970,plain,
( equal(tail,u)
| equal(select(queue_257,u),select(q6,u)) ),
inference(spr,[status(thm),theory(equality)],[2353,2]),
[iquote('0:SpR:2353.0,2.1')] ).
cnf(2971,plain,
( equal(tail,u)
| equal(select(queue_221,u),select(q42,u)) ),
inference(spr,[status(thm),theory(equality)],[2408,2]),
[iquote('0:SpR:2408.0,2.1')] ).
cnf(2972,plain,
( equal(tail,u)
| equal(select(queue_137,u),select(q3,u)) ),
inference(spr,[status(thm),theory(equality)],[2419,2]),
[iquote('0:SpR:2419.0,2.1')] ).
cnf(2973,plain,
( equal(tail,u)
| equal(select(queue_239,u),select(q45,u)) ),
inference(spr,[status(thm),theory(equality)],[2477,2]),
[iquote('0:SpR:2477.0,2.1')] ).
cnf(2974,plain,
( equal(tail,u)
| equal(select(queue_107,u),select(q25,u)) ),
inference(spr,[status(thm),theory(equality)],[1435,2]),
[iquote('0:SpR:1435.0,2.1')] ).
cnf(2975,plain,
( equal(tail,u)
| equal(select(queue_89,u),select(q22,u)) ),
inference(spr,[status(thm),theory(equality)],[2014,2]),
[iquote('0:SpR:2014.0,2.1')] ).
cnf(2976,plain,
( equal(tail,u)
| equal(select(queue_65,u),select(q19,u)) ),
inference(spr,[status(thm),theory(equality)],[2048,2]),
[iquote('0:SpR:2048.0,2.1')] ).
cnf(2977,plain,
( equal(tail,u)
| equal(select(queue_125,u),select(q28,u)) ),
inference(spr,[status(thm),theory(equality)],[2082,2]),
[iquote('0:SpR:2082.0,2.1')] ).
cnf(2978,plain,
( equal(tail,u)
| equal(select(queue_47,u),select(q16,u)) ),
inference(spr,[status(thm),theory(equality)],[2114,2]),
[iquote('0:SpR:2114.0,2.1')] ).
cnf(2979,plain,
( equal(tail,u)
| equal(select(queue_149,u),select(q31,u)) ),
inference(spr,[status(thm),theory(equality)],[2148,2]),
[iquote('0:SpR:2148.0,2.1')] ).
cnf(2980,plain,
( equal(tail,u)
| equal(select(queue_29,u),select(q13,u)) ),
inference(spr,[status(thm),theory(equality)],[2180,2]),
[iquote('0:SpR:2180.0,2.1')] ).
cnf(2981,plain,
( equal(tail,u)
| equal(select(queue_167,u),select(q34,u)) ),
inference(spr,[status(thm),theory(equality)],[2214,2]),
[iquote('0:SpR:2214.0,2.1')] ).
cnf(2982,plain,
( equal(tail,u)
| equal(select(queue_11,u),select(q10,u)) ),
inference(spr,[status(thm),theory(equality)],[2247,2]),
[iquote('0:SpR:2247.0,2.1')] ).
cnf(2983,plain,
( equal(tail,u)
| equal(select(queue_185,u),select(q37,u)) ),
inference(spr,[status(thm),theory(equality)],[2297,2]),
[iquote('0:SpR:2297.0,2.1')] ).
cnf(2984,plain,
( equal(tail,u)
| equal(select(queue_263,u),select(q7,u)) ),
inference(spr,[status(thm),theory(equality)],[2331,2]),
[iquote('0:SpR:2331.0,2.1')] ).
cnf(2985,plain,
( equal(tail,u)
| equal(select(queue_209,u),select(q40,u)) ),
inference(spr,[status(thm),theory(equality)],[2364,2]),
[iquote('0:SpR:2364.0,2.1')] ).
cnf(2986,plain,
( equal(tail,u)
| equal(select(queue_203,u),select(q4,u)) ),
inference(spr,[status(thm),theory(equality)],[2397,2]),
[iquote('0:SpR:2397.0,2.1')] ).
cnf(2987,plain,
( equal(tail,u)
| equal(select(queue_227,u),select(q43,u)) ),
inference(spr,[status(thm),theory(equality)],[2430,2]),
[iquote('0:SpR:2430.0,2.1')] ).
cnf(2988,plain,
( equal(tail,u)
| equal(select(queue_5,u),select(q1,u)) ),
inference(spr,[status(thm),theory(equality)],[2463,2]),
[iquote('0:SpR:2463.0,2.1')] ).
cnf(2989,plain,
( equal(tail,u)
| equal(select(queue_245,u),select(q46,u)) ),
inference(spr,[status(thm),theory(equality)],[2487,2]),
[iquote('0:SpR:2487.0,2.1')] ).
cnf(2990,plain,
( equal(seq,u)
| equal(select(queue_95,u),select(q22,u)) ),
inference(spr,[status(thm),theory(equality)],[293,2]),
[iquote('0:SpR:293.0,2.1')] ).
cnf(2991,plain,
( equal(seq,u)
| equal(select(queue_89,u),select(q21,u)) ),
inference(spr,[status(thm),theory(equality)],[291,2]),
[iquote('0:SpR:291.0,2.1')] ).
cnf(2992,plain,
( equal(seq,u)
| equal(select(queue_83,u),select(q20,u)) ),
inference(spr,[status(thm),theory(equality)],[289,2]),
[iquote('0:SpR:289.0,2.1')] ).
cnf(2993,plain,
( equal(seq,u)
| equal(select(queue_77,u),select(q19,u)) ),
inference(spr,[status(thm),theory(equality)],[287,2]),
[iquote('0:SpR:287.0,2.1')] ).
cnf(2994,plain,
( equal(seq,u)
| equal(select(queue_71,u),select(q1,u)) ),
inference(spr,[status(thm),theory(equality)],[285,2]),
[iquote('0:SpR:285.0,2.1')] ).
cnf(2995,plain,
( equal(seq,u)
| equal(select(queue_65,u),select(q18,u)) ),
inference(spr,[status(thm),theory(equality)],[282,2]),
[iquote('0:SpR:282.0,2.1')] ).
cnf(2996,plain,
( equal(seq,u)
| equal(select(queue_59,u),select(q17,u)) ),
inference(spr,[status(thm),theory(equality)],[280,2]),
[iquote('0:SpR:280.0,2.1')] ).
cnf(2997,plain,
( equal(seq,u)
| equal(select(queue_53,u),select(q16,u)) ),
inference(spr,[status(thm),theory(equality)],[278,2]),
[iquote('0:SpR:278.0,2.1')] ).
cnf(2998,plain,
( equal(seq,u)
| equal(select(queue_5,u),select(q0,u)) ),
inference(spr,[status(thm),theory(equality)],[277,2]),
[iquote('0:SpR:277.0,2.1')] ).
cnf(2999,plain,
( equal(seq,u)
| equal(select(queue_47,u),select(q15,u)) ),
inference(spr,[status(thm),theory(equality)],[275,2]),
[iquote('0:SpR:275.0,2.1')] ).
cnf(3000,plain,
( equal(seq,u)
| equal(select(queue_41,u),select(q14,u)) ),
inference(spr,[status(thm),theory(equality)],[273,2]),
[iquote('0:SpR:273.0,2.1')] ).
cnf(3001,plain,
( equal(seq,u)
| equal(select(queue_35,u),select(q13,u)) ),
inference(spr,[status(thm),theory(equality)],[271,2]),
[iquote('0:SpR:271.0,2.1')] ).
cnf(3002,plain,
( equal(seq,u)
| equal(select(queue_29,u),select(q12,u)) ),
inference(spr,[status(thm),theory(equality)],[269,2]),
[iquote('0:SpR:269.0,2.1')] ).
cnf(3003,plain,
( equal(seq,u)
| equal(select(queue_275,u),select(q8,u)) ),
inference(spr,[status(thm),theory(equality)],[267,2]),
[iquote('0:SpR:267.0,2.1')] ).
cnf(3004,plain,
( equal(seq,u)
| equal(select(queue_269,u),select(q7,u)) ),
inference(spr,[status(thm),theory(equality)],[265,2]),
[iquote('0:SpR:265.0,2.1')] ).
cnf(3005,plain,
( equal(seq,u)
| equal(select(queue_263,u),select(q6,u)) ),
inference(spr,[status(thm),theory(equality)],[263,2]),
[iquote('0:SpR:263.0,2.1')] ).
cnf(3006,plain,
( equal(seq,u)
| equal(select(queue_257,u),select(q5,u)) ),
inference(spr,[status(thm),theory(equality)],[261,2]),
[iquote('0:SpR:261.0,2.1')] ).
cnf(3007,plain,
( equal(seq,u)
| equal(select(queue_251,u),select(q4,u)) ),
inference(spr,[status(thm),theory(equality)],[259,2]),
[iquote('0:SpR:259.0,2.1')] ).
cnf(3008,plain,
( equal(seq,u)
| equal(select(queue_245,u),select(q45,u)) ),
inference(spr,[status(thm),theory(equality)],[256,2]),
[iquote('0:SpR:256.0,2.1')] ).
cnf(3009,plain,
( equal(seq,u)
| equal(select(queue_239,u),select(q44,u)) ),
inference(spr,[status(thm),theory(equality)],[254,2]),
[iquote('0:SpR:254.0,2.1')] ).
cnf(3010,plain,
( equal(seq,u)
| equal(select(queue_233,u),select(q43,u)) ),
inference(spr,[status(thm),theory(equality)],[252,2]),
[iquote('0:SpR:252.0,2.1')] ).
cnf(3011,plain,
( equal(seq,u)
| equal(select(queue_23,u),select(q11,u)) ),
inference(spr,[status(thm),theory(equality)],[251,2]),
[iquote('0:SpR:251.0,2.1')] ).
cnf(3012,plain,
( equal(seq,u)
| equal(select(queue_227,u),select(q42,u)) ),
inference(spr,[status(thm),theory(equality)],[249,2]),
[iquote('0:SpR:249.0,2.1')] ).
cnf(3013,plain,
( equal(seq,u)
| equal(select(queue_221,u),select(q41,u)) ),
inference(spr,[status(thm),theory(equality)],[247,2]),
[iquote('0:SpR:247.0,2.1')] ).
cnf(3014,plain,
( equal(seq,u)
| equal(select(queue_215,u),select(q40,u)) ),
inference(spr,[status(thm),theory(equality)],[245,2]),
[iquote('0:SpR:245.0,2.1')] ).
cnf(3015,plain,
( equal(seq,u)
| equal(select(queue_209,u),select(q39,u)) ),
inference(spr,[status(thm),theory(equality)],[243,2]),
[iquote('0:SpR:243.0,2.1')] ).
cnf(3016,plain,
( equal(seq,u)
| equal(select(queue_203,u),select(q3,u)) ),
inference(spr,[status(thm),theory(equality)],[241,2]),
[iquote('0:SpR:241.0,2.1')] ).
cnf(3017,plain,
( equal(seq,u)
| equal(select(queue_197,u),select(q38,u)) ),
inference(spr,[status(thm),theory(equality)],[239,2]),
[iquote('0:SpR:239.0,2.1')] ).
cnf(3018,plain,
( equal(seq,u)
| equal(select(queue_191,u),select(q37,u)) ),
inference(spr,[status(thm),theory(equality)],[237,2]),
[iquote('0:SpR:237.0,2.1')] ).
cnf(3019,plain,
( equal(seq,u)
| equal(select(queue_185,u),select(q36,u)) ),
inference(spr,[status(thm),theory(equality)],[234,2]),
[iquote('0:SpR:234.0,2.1')] ).
cnf(3020,plain,
( equal(seq,u)
| equal(select(queue_179,u),select(q35,u)) ),
inference(spr,[status(thm),theory(equality)],[232,2]),
[iquote('0:SpR:232.0,2.1')] ).
cnf(3021,plain,
( equal(seq,u)
| equal(select(queue_173,u),select(q34,u)) ),
inference(spr,[status(thm),theory(equality)],[230,2]),
[iquote('0:SpR:230.0,2.1')] ).
cnf(3022,plain,
( equal(seq,u)
| equal(select(queue_17,u),select(q10,u)) ),
inference(spr,[status(thm),theory(equality)],[229,2]),
[iquote('0:SpR:229.0,2.1')] ).
cnf(3023,plain,
( equal(seq,u)
| equal(select(queue_167,u),select(q33,u)) ),
inference(spr,[status(thm),theory(equality)],[227,2]),
[iquote('0:SpR:227.0,2.1')] ).
cnf(3024,plain,
( equal(seq,u)
| equal(select(queue_161,u),select(q32,u)) ),
inference(spr,[status(thm),theory(equality)],[225,2]),
[iquote('0:SpR:225.0,2.1')] ).
cnf(3025,plain,
( equal(seq,u)
| equal(select(queue_155,u),select(q31,u)) ),
inference(spr,[status(thm),theory(equality)],[223,2]),
[iquote('0:SpR:223.0,2.1')] ).
cnf(3026,plain,
( equal(seq,u)
| equal(select(queue_149,u),select(q30,u)) ),
inference(spr,[status(thm),theory(equality)],[221,2]),
[iquote('0:SpR:221.0,2.1')] ).
cnf(3027,plain,
( equal(seq,u)
| equal(select(queue_143,u),select(q29,u)) ),
inference(spr,[status(thm),theory(equality)],[219,2]),
[iquote('0:SpR:219.0,2.1')] ).
cnf(3028,plain,
( equal(seq,u)
| equal(select(queue_137,u),select(q2,u)) ),
inference(spr,[status(thm),theory(equality)],[217,2]),
[iquote('0:SpR:217.0,2.1')] ).
cnf(3029,plain,
( equal(seq,u)
| equal(select(queue_131,u),select(q28,u)) ),
inference(spr,[status(thm),theory(equality)],[215,2]),
[iquote('0:SpR:215.0,2.1')] ).
cnf(3030,plain,
( equal(seq,u)
| equal(select(queue_125,u),select(q27,u)) ),
inference(spr,[status(thm),theory(equality)],[212,2]),
[iquote('0:SpR:212.0,2.1')] ).
cnf(3031,plain,
( equal(seq,u)
| equal(select(queue_119,u),select(q26,u)) ),
inference(spr,[status(thm),theory(equality)],[210,2]),
[iquote('0:SpR:210.0,2.1')] ).
cnf(3032,plain,
( equal(seq,u)
| equal(select(queue_113,u),select(q25,u)) ),
inference(spr,[status(thm),theory(equality)],[208,2]),
[iquote('0:SpR:208.0,2.1')] ).
cnf(3033,plain,
( equal(seq,u)
| equal(select(queue_11,u),select(q9,u)) ),
inference(spr,[status(thm),theory(equality)],[207,2]),
[iquote('0:SpR:207.0,2.1')] ).
cnf(3034,plain,
( equal(seq,u)
| equal(select(queue_107,u),select(q24,u)) ),
inference(spr,[status(thm),theory(equality)],[205,2]),
[iquote('0:SpR:205.0,2.1')] ).
cnf(3035,plain,
( equal(seq,u)
| equal(select(queue_101,u),select(q23,u)) ),
inference(spr,[status(thm),theory(equality)],[203,2]),
[iquote('0:SpR:203.0,2.1')] ).
cnf(3036,plain,
( equal(head,u)
| equal(select(q,u),select(q0,u)) ),
inference(spr,[status(thm),theory(equality)],[389,2]),
[iquote('0:SpR:389.0,2.1')] ).
cnf(3081,plain,
( equal(index_9,u)
| equal(select(earray_244,u),select(earray_242,u)) ),
inference(spr,[status(thm),theory(equality)],[2472,2]),
[iquote('0:SpR:2472.0,2.1')] ).
cnf(3478,plain,
( equal(seq,tail)
| equal(select(q45,seq),earray_238) ),
inference(spr,[status(thm),theory(equality)],[2973,1133]),
[iquote('0:SpR:2973.1,1133.0')] ).
cnf(3480,plain,
( equal(seq,tail)
| equal(earray_242,earray_238) ),
inference(rew,[status(thm),theory(equality)],[64,3478]),
[iquote('0:Rew:64.0,3478.1')] ).
cnf(3481,plain,
equal(earray_242,earray_238),
inference(mrr,[status(thm)],[3480,5]),
[iquote('0:MRR:3480.0,5.0')] ).
cnf(3484,plain,
( equal(index_9,u)
| equal(select(earray_244,u),select(earray_238,u)) ),
inference(rew,[status(thm),theory(equality)],[3481,3081]),
[iquote('0:Rew:3481.0,3081.1')] ).
cnf(3670,plain,
( equal(seq,tail)
| equal(select(q46,seq),earray_244) ),
inference(spr,[status(thm),theory(equality)],[2989,1132]),
[iquote('0:SpR:2989.1,1132.0')] ).
cnf(3672,plain,
( equal(seq,tail)
| equal(earray_278,earray_244) ),
inference(rew,[status(thm),theory(equality)],[77,3670]),
[iquote('0:Rew:77.0,3670.1')] ).
cnf(3673,plain,
equal(earray_278,earray_244),
inference(mrr,[status(thm)],[3672,5]),
[iquote('0:MRR:3672.0,5.0')] ).
cnf(3674,plain,
equal(select(earray_244,index_279),elem_280),
inference(rew,[status(thm),theory(equality)],[3673,104]),
[iquote('0:Rew:3673.0,104.0')] ).
cnf(3676,plain,
equal(select(earray_244,index_9),elem_283),
inference(rew,[status(thm),theory(equality)],[3673,2475]),
[iquote('0:Rew:3673.0,2475.0')] ).
cnf(3677,plain,
equal(elem_283,e45),
inference(rew,[status(thm),theory(equality)],[2476,3676]),
[iquote('0:Rew:2476.0,3676.0')] ).
cnf(3678,plain,
~ equal(elem_280,e45),
inference(rew,[status(thm),theory(equality)],[3677,342]),
[iquote('0:Rew:3677.0,342.0')] ).
cnf(3686,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q22,u)) ),
inference(spr,[status(thm),theory(equality)],[2990,2944]),
[iquote('0:SpR:2990.1,2944.1')] ).
cnf(3689,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q22,u),select(q21,u)) ),
inference(spr,[status(thm),theory(equality)],[2991,2975]),
[iquote('0:SpR:2991.1,2975.1')] ).
cnf(3691,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q21,u)) ),
inference(rew,[status(thm),theory(equality)],[3689,3686]),
[iquote('0:Rew:3689.2,3686.2')] ).
cnf(3693,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q21,u),select(q20,u)) ),
inference(spr,[status(thm),theory(equality)],[2992,2960]),
[iquote('0:SpR:2992.1,2960.1')] ).
cnf(3696,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q20,u)) ),
inference(rew,[status(thm),theory(equality)],[3693,3691]),
[iquote('0:Rew:3693.2,3691.2')] ).
cnf(3698,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q20,u),select(q19,u)) ),
inference(spr,[status(thm),theory(equality)],[2993,2945]),
[iquote('0:SpR:2993.1,2945.1')] ).
cnf(3702,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q19,u)) ),
inference(rew,[status(thm),theory(equality)],[3698,3696]),
[iquote('0:Rew:3698.2,3696.2')] ).
cnf(3704,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q1,u),select(q2,u)) ),
inference(spr,[status(thm),theory(equality)],[2994,2957]),
[iquote('0:SpR:2994.1,2957.1')] ).
cnf(3707,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q19,u),select(q18,u)) ),
inference(spr,[status(thm),theory(equality)],[2995,2976]),
[iquote('0:SpR:2995.1,2976.1')] ).
cnf(3712,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q18,u)) ),
inference(rew,[status(thm),theory(equality)],[3707,3702]),
[iquote('0:Rew:3707.2,3702.2')] ).
cnf(3714,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q18,u),select(q17,u)) ),
inference(spr,[status(thm),theory(equality)],[2996,2962]),
[iquote('0:SpR:2996.1,2962.1')] ).
cnf(3720,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q17,u)) ),
inference(rew,[status(thm),theory(equality)],[3714,3712]),
[iquote('0:Rew:3714.2,3712.2')] ).
cnf(3722,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q17,u),select(q16,u)) ),
inference(spr,[status(thm),theory(equality)],[2997,2947]),
[iquote('0:SpR:2997.1,2947.1')] ).
cnf(3729,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q16,u)) ),
inference(rew,[status(thm),theory(equality)],[3722,3720]),
[iquote('0:Rew:3722.2,3720.2')] ).
cnf(3731,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q1,u),select(q0,u)) ),
inference(spr,[status(thm),theory(equality)],[2998,2988]),
[iquote('0:SpR:2998.1,2988.1')] ).
cnf(3733,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q0,u),select(q2,u)) ),
inference(rew,[status(thm),theory(equality)],[3704,3731]),
[iquote('0:Rew:3704.2,3731.2')] ).
cnf(3735,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q16,u),select(q15,u)) ),
inference(spr,[status(thm),theory(equality)],[2999,2978]),
[iquote('0:SpR:2999.1,2978.1')] ).
cnf(3743,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q15,u)) ),
inference(rew,[status(thm),theory(equality)],[3735,3729]),
[iquote('0:Rew:3735.2,3729.2')] ).
cnf(3745,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q15,u),select(q14,u)) ),
inference(spr,[status(thm),theory(equality)],[3000,2964]),
[iquote('0:SpR:3000.1,2964.1')] ).
cnf(3754,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q14,u)) ),
inference(rew,[status(thm),theory(equality)],[3745,3743]),
[iquote('0:Rew:3745.2,3743.2')] ).
cnf(3756,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q14,u),select(q13,u)) ),
inference(spr,[status(thm),theory(equality)],[3001,2949]),
[iquote('0:SpR:3001.1,2949.1')] ).
cnf(3766,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q13,u)) ),
inference(rew,[status(thm),theory(equality)],[3756,3754]),
[iquote('0:Rew:3756.2,3754.2')] ).
cnf(3768,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q13,u),select(q12,u)) ),
inference(spr,[status(thm),theory(equality)],[3002,2980]),
[iquote('0:SpR:3002.1,2980.1')] ).
cnf(3779,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q12,u)) ),
inference(rew,[status(thm),theory(equality)],[3768,3766]),
[iquote('0:Rew:3768.2,3766.2')] ).
cnf(3781,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q8,u)) ),
inference(spr,[status(thm),theory(equality)],[3003,2959]),
[iquote('0:SpR:3003.1,2959.1')] ).
cnf(3784,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q8,u),select(q7,u)) ),
inference(spr,[status(thm),theory(equality)],[3004,2953]),
[iquote('0:SpR:3004.1,2953.1')] ).
cnf(3786,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q7,u)) ),
inference(rew,[status(thm),theory(equality)],[3784,3781]),
[iquote('0:Rew:3784.2,3781.2')] ).
cnf(3788,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q7,u),select(q6,u)) ),
inference(spr,[status(thm),theory(equality)],[3005,2984]),
[iquote('0:SpR:3005.1,2984.1')] ).
cnf(3791,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q6,u)) ),
inference(rew,[status(thm),theory(equality)],[3788,3786]),
[iquote('0:Rew:3788.2,3786.2')] ).
cnf(3793,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q6,u),select(q5,u)) ),
inference(spr,[status(thm),theory(equality)],[3006,2970]),
[iquote('0:SpR:3006.1,2970.1')] ).
cnf(3797,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q5,u)) ),
inference(rew,[status(thm),theory(equality)],[3793,3791]),
[iquote('0:Rew:3793.2,3791.2')] ).
cnf(3799,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q5,u),select(q4,u)) ),
inference(spr,[status(thm),theory(equality)],[3007,2955]),
[iquote('0:SpR:3007.1,2955.1')] ).
cnf(3804,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q4,u)) ),
inference(rew,[status(thm),theory(equality)],[3799,3797]),
[iquote('0:Rew:3799.2,3797.2')] ).
cnf(3806,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q45,u)) ),
inference(spr,[status(thm),theory(equality)],[3008,2989]),
[iquote('0:SpR:3008.1,2989.1')] ).
cnf(3809,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q45,u),select(q44,u)) ),
inference(spr,[status(thm),theory(equality)],[3009,2973]),
[iquote('0:SpR:3009.1,2973.1')] ).
cnf(3811,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q44,u)) ),
inference(rew,[status(thm),theory(equality)],[3809,3806]),
[iquote('0:Rew:3809.2,3806.2')] ).
cnf(3813,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q44,u),select(q43,u)) ),
inference(spr,[status(thm),theory(equality)],[3010,2958]),
[iquote('0:SpR:3010.1,2958.1')] ).
cnf(3816,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q43,u)) ),
inference(rew,[status(thm),theory(equality)],[3813,3811]),
[iquote('0:Rew:3813.2,3811.2')] ).
cnf(3818,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q12,u),select(q11,u)) ),
inference(spr,[status(thm),theory(equality)],[3011,2966]),
[iquote('0:SpR:3011.1,2966.1')] ).
cnf(3830,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q11,u)) ),
inference(rew,[status(thm),theory(equality)],[3818,3779]),
[iquote('0:Rew:3818.2,3779.2')] ).
cnf(3832,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q43,u),select(q42,u)) ),
inference(spr,[status(thm),theory(equality)],[3012,2987]),
[iquote('0:SpR:3012.1,2987.1')] ).
cnf(3836,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q42,u)) ),
inference(rew,[status(thm),theory(equality)],[3832,3816]),
[iquote('0:Rew:3832.2,3816.2')] ).
cnf(3838,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q42,u),select(q41,u)) ),
inference(spr,[status(thm),theory(equality)],[3013,2971]),
[iquote('0:SpR:3013.1,2971.1')] ).
cnf(3843,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q41,u)) ),
inference(rew,[status(thm),theory(equality)],[3838,3836]),
[iquote('0:Rew:3838.2,3836.2')] ).
cnf(3845,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q41,u),select(q40,u)) ),
inference(spr,[status(thm),theory(equality)],[3014,2956]),
[iquote('0:SpR:3014.1,2956.1')] ).
cnf(3851,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q40,u)) ),
inference(rew,[status(thm),theory(equality)],[3845,3843]),
[iquote('0:Rew:3845.2,3843.2')] ).
cnf(3853,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q40,u),select(q39,u)) ),
inference(spr,[status(thm),theory(equality)],[3015,2985]),
[iquote('0:SpR:3015.1,2985.1')] ).
cnf(3860,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q39,u)) ),
inference(rew,[status(thm),theory(equality)],[3853,3851]),
[iquote('0:Rew:3853.2,3851.2')] ).
cnf(3862,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q4,u),select(q3,u)) ),
inference(spr,[status(thm),theory(equality)],[3016,2986]),
[iquote('0:SpR:3016.1,2986.1')] ).
cnf(3868,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q3,u)) ),
inference(rew,[status(thm),theory(equality)],[3862,3804]),
[iquote('0:Rew:3862.2,3804.2')] ).
cnf(3870,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q39,u),select(q38,u)) ),
inference(spr,[status(thm),theory(equality)],[3017,2969]),
[iquote('0:SpR:3017.1,2969.1')] ).
cnf(3878,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q38,u)) ),
inference(rew,[status(thm),theory(equality)],[3870,3860]),
[iquote('0:Rew:3870.2,3860.2')] ).
cnf(3880,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q38,u),select(q37,u)) ),
inference(spr,[status(thm),theory(equality)],[3018,2954]),
[iquote('0:SpR:3018.1,2954.1')] ).
cnf(3889,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q37,u)) ),
inference(rew,[status(thm),theory(equality)],[3880,3878]),
[iquote('0:Rew:3880.2,3878.2')] ).
cnf(3891,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q37,u),select(q36,u)) ),
inference(spr,[status(thm),theory(equality)],[3019,2983]),
[iquote('0:SpR:3019.1,2983.1')] ).
cnf(3901,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q36,u)) ),
inference(rew,[status(thm),theory(equality)],[3891,3889]),
[iquote('0:Rew:3891.2,3889.2')] ).
cnf(3903,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q36,u),select(q35,u)) ),
inference(spr,[status(thm),theory(equality)],[3020,2967]),
[iquote('0:SpR:3020.1,2967.1')] ).
cnf(3914,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q35,u)) ),
inference(rew,[status(thm),theory(equality)],[3903,3901]),
[iquote('0:Rew:3903.2,3901.2')] ).
cnf(3916,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q35,u),select(q34,u)) ),
inference(spr,[status(thm),theory(equality)],[3021,2952]),
[iquote('0:SpR:3021.1,2952.1')] ).
cnf(3928,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q34,u)) ),
inference(rew,[status(thm),theory(equality)],[3916,3914]),
[iquote('0:Rew:3916.2,3914.2')] ).
cnf(3930,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q11,u),select(q10,u)) ),
inference(spr,[status(thm),theory(equality)],[3022,2951]),
[iquote('0:SpR:3022.1,2951.1')] ).
cnf(3943,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q10,u)) ),
inference(rew,[status(thm),theory(equality)],[3930,3830]),
[iquote('0:Rew:3930.2,3830.2')] ).
cnf(3945,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q34,u),select(q33,u)) ),
inference(spr,[status(thm),theory(equality)],[3023,2981]),
[iquote('0:SpR:3023.1,2981.1')] ).
cnf(3958,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q33,u)) ),
inference(rew,[status(thm),theory(equality)],[3945,3928]),
[iquote('0:Rew:3945.2,3928.2')] ).
cnf(3960,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q33,u),select(q32,u)) ),
inference(spr,[status(thm),theory(equality)],[3024,2965]),
[iquote('0:SpR:3024.1,2965.1')] ).
cnf(3974,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q32,u)) ),
inference(rew,[status(thm),theory(equality)],[3960,3958]),
[iquote('0:Rew:3960.2,3958.2')] ).
cnf(3976,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q32,u),select(q31,u)) ),
inference(spr,[status(thm),theory(equality)],[3025,2950]),
[iquote('0:SpR:3025.1,2950.1')] ).
cnf(3991,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q31,u)) ),
inference(rew,[status(thm),theory(equality)],[3976,3974]),
[iquote('0:Rew:3976.2,3974.2')] ).
cnf(3993,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q31,u),select(q30,u)) ),
inference(spr,[status(thm),theory(equality)],[3026,2979]),
[iquote('0:SpR:3026.1,2979.1')] ).
cnf(4009,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q30,u)) ),
inference(rew,[status(thm),theory(equality)],[3993,3991]),
[iquote('0:Rew:3993.2,3991.2')] ).
cnf(4011,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q30,u),select(q29,u)) ),
inference(spr,[status(thm),theory(equality)],[3027,2963]),
[iquote('0:SpR:3027.1,2963.1')] ).
cnf(4028,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q29,u)) ),
inference(rew,[status(thm),theory(equality)],[4011,4009]),
[iquote('0:Rew:4011.2,4009.2')] ).
cnf(4030,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q3,u),select(q2,u)) ),
inference(spr,[status(thm),theory(equality)],[3028,2972]),
[iquote('0:SpR:3028.1,2972.1')] ).
cnf(4037,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q2,u)) ),
inference(rew,[status(thm),theory(equality)],[4030,3868]),
[iquote('0:Rew:4030.2,3868.2')] ).
cnf(4039,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q29,u),select(q28,u)) ),
inference(spr,[status(thm),theory(equality)],[3029,2948]),
[iquote('0:SpR:3029.1,2948.1')] ).
cnf(4057,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q28,u)) ),
inference(rew,[status(thm),theory(equality)],[4039,4028]),
[iquote('0:Rew:4039.2,4028.2')] ).
cnf(4059,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q28,u),select(q27,u)) ),
inference(spr,[status(thm),theory(equality)],[3030,2977]),
[iquote('0:SpR:3030.1,2977.1')] ).
cnf(4078,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q27,u)) ),
inference(rew,[status(thm),theory(equality)],[4059,4057]),
[iquote('0:Rew:4059.2,4057.2')] ).
cnf(4080,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q27,u),select(q26,u)) ),
inference(spr,[status(thm),theory(equality)],[3031,2961]),
[iquote('0:SpR:3031.1,2961.1')] ).
cnf(4100,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q26,u)) ),
inference(rew,[status(thm),theory(equality)],[4080,4078]),
[iquote('0:Rew:4080.2,4078.2')] ).
cnf(4102,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q26,u),select(q25,u)) ),
inference(spr,[status(thm),theory(equality)],[3032,2946]),
[iquote('0:SpR:3032.1,2946.1')] ).
cnf(4123,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q25,u)) ),
inference(rew,[status(thm),theory(equality)],[4102,4100]),
[iquote('0:Rew:4102.2,4100.2')] ).
cnf(4125,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q9,u),select(q10,u)) ),
inference(spr,[status(thm),theory(equality)],[3033,2982]),
[iquote('0:SpR:3033.1,2982.1')] ).
cnf(4127,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q10,u),select(q2,u)) ),
inference(rew,[status(thm),theory(equality)],[4037,4125]),
[iquote('0:Rew:4037.2,4125.2')] ).
cnf(4140,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q2,u)) ),
inference(rew,[status(thm),theory(equality)],[4127,3943]),
[iquote('0:Rew:4127.2,3943.2')] ).
cnf(4142,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q25,u),select(q24,u)) ),
inference(spr,[status(thm),theory(equality)],[3034,2974]),
[iquote('0:SpR:3034.1,2974.1')] ).
cnf(4164,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q46,u),select(q24,u)) ),
inference(rew,[status(thm),theory(equality)],[4142,4123]),
[iquote('0:Rew:4142.2,4123.2')] ).
cnf(4166,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q23,u),select(q24,u)) ),
inference(spr,[status(thm),theory(equality)],[3035,2968]),
[iquote('0:SpR:3035.1,2968.1')] ).
cnf(4168,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q2,u),select(q24,u)) ),
inference(rew,[status(thm),theory(equality)],[4140,4166]),
[iquote('0:Rew:4140.2,4166.2')] ).
cnf(4170,plain,
( equal(seq,u)
| equal(tail,u)
| equal(select(q0,u),select(q24,u)) ),
inference(rew,[status(thm),theory(equality)],[4168,3733]),
[iquote('0:Rew:4168.2,3733.2')] ).
cnf(4192,plain,
( equal(tail,head)
| equal(select(q0,tail),index_0) ),
inference(spr,[status(thm),theory(equality)],[3036,106]),
[iquote('0:SpR:3036.1,106.0')] ).
cnf(4194,plain,
( equal(tail,head)
| equal(index_0,index_9) ),
inference(rew,[status(thm),theory(equality)],[2481,4192]),
[iquote('0:Rew:2481.0,4192.1')] ).
cnf(4195,plain,
equal(index_0,index_9),
inference(mrr,[status(thm)],[4194,3]),
[iquote('0:MRR:4194.0,3.0')] ).
cnf(4198,plain,
equal(select(q0,head),index_9),
inference(rew,[status(thm),theory(equality)],[4195,1160]),
[iquote('0:Rew:4195.0,1160.0')] ).
cnf(4277,plain,
( equal(index_279,index_9)
| equal(select(earray_238,index_279),elem_280) ),
inference(spr,[status(thm),theory(equality)],[3484,3674]),
[iquote('0:SpR:3484.1,3674.0')] ).
cnf(4278,plain,
equal(index_279,index_9),
inference(spt,[spt(split,[position(s1)])],[4277]),
[iquote('1:Spt:4277.0')] ).
cnf(4280,plain,
equal(select(earray_244,index_9),elem_280),
inference(rew,[status(thm),theory(equality)],[4278,3674]),
[iquote('1:Rew:4278.0,3674.0')] ).
cnf(4281,plain,
equal(elem_280,e45),
inference(rew,[status(thm),theory(equality)],[2476,4280]),
[iquote('1:Rew:2476.0,4280.0')] ).
cnf(4282,plain,
$false,
inference(mrr,[status(thm)],[4281,3678]),
[iquote('1:MRR:4281.0,3678.0')] ).
cnf(4283,plain,
~ equal(index_279,index_9),
inference(spt,[spt(split,[position(sa)])],[4282,4278]),
[iquote('1:Spt:4282.0,4277.0,4278.0')] ).
cnf(4284,plain,
equal(select(earray_238,index_279),elem_280),
inference(spt,[spt(split,[position(s2)])],[4277]),
[iquote('1:Spt:4282.0,4277.1')] ).
cnf(4425,plain,
( equal(seq,head)
| equal(tail,head)
| equal(select(q24,head),index_9) ),
inference(spr,[status(thm),theory(equality)],[4170,4198]),
[iquote('0:SpR:4170.2,4198.0')] ).
cnf(4432,plain,
equal(select(q24,head),index_9),
inference(mrr,[status(thm)],[4425,4,3]),
[iquote('0:MRR:4425.0,4425.1,4.0,3.0')] ).
cnf(4436,plain,
( equal(seq,head)
| equal(tail,head)
| equal(select(q24,head),index_279) ),
inference(spr,[status(thm),theory(equality)],[172,4164]),
[iquote('0:SpR:172.0,4164.2')] ).
cnf(4437,plain,
( equal(seq,head)
| equal(tail,head)
| equal(index_279,index_9) ),
inference(rew,[status(thm),theory(equality)],[4432,4436]),
[iquote('0:Rew:4432.0,4436.2')] ).
cnf(4438,plain,
$false,
inference(mrr,[status(thm)],[4437,4,3,4283]),
[iquote('1:MRR:4437.0,4437.1,4437.2,4.0,3.0,4283.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV571-1.046 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 06:15:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.64/1.86
% 1.64/1.86 SPASS V 3.9
% 1.64/1.86 SPASS beiseite: Proof found.
% 1.64/1.86 % SZS status Theorem
% 1.64/1.86 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.64/1.86 SPASS derived 3686 clauses, backtracked 14 clauses, performed 2 splits and kept 1908 clauses.
% 1.64/1.86 SPASS allocated 65703 KBytes.
% 1.64/1.86 SPASS spent 0:00:01.51 on the problem.
% 1.64/1.86 0:00:00.04 for the input.
% 1.64/1.86 0:00:00.00 for the FLOTTER CNF translation.
% 1.64/1.86 0:00:00.08 for inferences.
% 1.64/1.86 0:00:00.00 for the backtracking.
% 1.64/1.86 0:00:01.24 for the reduction.
% 1.64/1.86
% 1.64/1.86
% 1.64/1.86 Here is a proof with depth 3, length 881 :
% 1.64/1.86 % SZS output start Refutation
% See solution above
% 1.74/1.93 Formulae used in the proof : a1 a2 head_distinct_from_tail head_distinct_from_seq tail_distinct_from_seq ps circular hyp53 hyp54 hyp66 hyp93 hyp94 hyp95 hyp96 hyp97 hyp98 hyp99 hyp100 hyp101 hyp102 hyp103 hyp104 hyp105 hyp106 hyp107 hyp108 hyp109 hyp110 hyp111 hyp112 hyp113 hyp114 hyp115 hyp116 hyp117 hyp118 hyp119 hyp120 hyp121 hyp122 hyp123 hyp124 hyp125 hyp126 hyp127 hyp128 hyp129 hyp130 hyp131 hyp132 hyp133 hyp134 hyp135 hyp136 hyp137 hyp138 hyp139 hyp140 hyp141 hyp142 hyp143 hyp144 hyp145 hyp146 hyp147 hyp148 hyp149 hyp150 hyp151 hyp152 hyp153 hyp154 hyp155 hyp156 hyp157 hyp158 hyp159 hyp160 hyp161 hyp162 hyp163 hyp164 hyp165 hyp166 hyp167 hyp168 hyp169 hyp170 hyp171 hyp172 hyp173 hyp174 hyp175 hyp176 hyp177 hyp178 hyp179 hyp180 hyp181 hyp182 hyp183 hyp184 hyp185 hyp186 hyp187 hyp188 hyp189 hyp190 hyp191 hyp192 hyp193 hyp194 hyp195 hyp196 hyp197 hyp198 hyp199 hyp200 hyp201 hyp202 hyp203 hyp204 hyp205 hyp206 hyp207 hyp208 hyp209 hyp210 hyp211 hyp212 hyp213 hyp214 hyp215 hyp216 hyp217 hyp218 hyp219 hyp220 hyp221 hyp222 hyp223 hyp224 hyp225 hyp226 hyp227 hyp228 hyp229 hyp230 hyp231 hyp232 hyp233 hyp234 hyp235 hyp236 hyp237 hyp238 hyp239 hyp240 hyp241 hyp242 hyp243 hyp244 hyp245 hyp246 hyp247 hyp248 hyp249 hyp250 hyp251 hyp252 hyp253 hyp254 hyp255 hyp256 hyp257 hyp258 hyp259 hyp260 hyp261 hyp262 hyp263 hyp264 hyp265 hyp266 hyp267 hyp268 hyp269 hyp270 hyp271 hyp272 hyp273 hyp274 hyp275 hyp276 hyp277 hyp278 hyp279 hyp280 hyp281 hyp282 hyp283 hyp284 hyp285 hyp286 hyp287 hyp288 hyp289 hyp290 hyp291 hyp292 hyp293 hyp294 hyp295 hyp296 hyp297 hyp298 hyp299 hyp300 hyp301 hyp302 hyp303 hyp304 hyp305 hyp306 hyp307 hyp308 hyp309 hyp310 hyp311 hyp312 hyp313 hyp314 hyp315 hyp316 hyp317 hyp318 hyp319 hyp320 hyp321 hyp322 hyp323 hyp324 hyp325 hyp326 hyp327 hyp328 hyp329 hyp330 goal
% 1.74/1.93
%------------------------------------------------------------------------------