TSTP Solution File: SWV568-1.030 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV568-1.030 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n012.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 21:44:20 EDT 2022

% Result   : Unsatisfiable 2.67s 2.90s
% Output   : Refutation 2.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   55
%            Number of leaves      :  255
% Syntax   : Number of clauses     :  774 ( 734 unt;  40 nHn; 774 RR)
%            Number of literals    :  868 (   0 equ;  62 neg)
%            Maximal clause size   :   11 (   1 avg)
%            Maximal term depth    :   20 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  270 ( 270 usr; 261 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(select(store(u,v,w),v),w),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(2,axiom,
    ( equal(u,v)
    | equal(select(store(w,u,x),v),select(w,v)) ),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(3,axiom,
    equal(rselect_seq(rstore_seq(u,v)),v),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(4,axiom,
    equal(rselect_head(rstore_head(u,v)),v),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(5,axiom,
    equal(rselect_tail(rstore_tail(u,v)),v),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(6,axiom,
    equal(rselect_seq(rstore_head(u,v)),rselect_seq(u)),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(7,axiom,
    equal(rselect_seq(rstore_tail(u,v)),rselect_seq(u)),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(8,axiom,
    equal(rselect_head(rstore_tail(u,v)),rselect_head(u)),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(9,axiom,
    equal(rselect_head(rstore_seq(u,v)),rselect_head(u)),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(11,axiom,
    equal(rselect_tail(rstore_head(u,v)),rselect_tail(u)),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(43,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(44,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(45,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(46,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(47,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(48,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(49,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(50,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(51,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(u))))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(52,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(s(u)))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(53,axiom,
    ~ equal(s(s(s(s(s(s(s(s(s(u))))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(54,axiom,
    ~ equal(s(s(s(s(s(s(s(s(u)))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(55,axiom,
    ~ equal(s(s(s(s(s(s(s(u))))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(56,axiom,
    ~ equal(s(s(s(s(s(s(u)))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(57,axiom,
    ~ equal(s(s(s(s(s(u))))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(58,axiom,
    ~ equal(s(s(s(s(u)))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(59,axiom,
    ~ equal(s(s(s(u))),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(60,axiom,
    ~ equal(s(s(u)),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(61,axiom,
    ~ equal(s(u),u),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(63,axiom,
    equal(store(earray_98,index_99,e21),earray_100),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(64,axiom,
    equal(rselect_seq(q22),earray_104),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(65,axiom,
    equal(store(earray_104,index_105,e22),earray_106),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(66,axiom,
    equal(rselect_seq(q23),earray_110),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(67,axiom,
    equal(store(earray_110,index_111,e23),earray_112),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(68,axiom,
    equal(rselect_seq(q24),earray_119),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(69,axiom,
    equal(store(earray_119,index_120,e24),earray_121),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(70,axiom,
    equal(rselect_seq(q25),earray_125),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(71,axiom,
    equal(store(earray_125,index_126,e25),earray_127),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(72,axiom,
    equal(rselect_seq(q26),earray_131),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(73,axiom,
    equal(store(earray_131,index_132,e26),earray_133),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(74,axiom,
    equal(rselect_seq(q10),earray_14),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(75,axiom,
    equal(rselect_seq(q27),earray_140),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(76,axiom,
    equal(store(earray_140,index_141,e27),earray_142),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(77,axiom,
    equal(rselect_seq(q28),earray_146),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(78,axiom,
    equal(store(earray_146,index_147,e28),earray_148),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(81,axiom,
    equal(store(earray_14,index_15,e10),earray_16),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(82,axiom,
    equal(rselect_seq(q29),earray_161),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(83,axiom,
    equal(store(earray_161,index_162,e29),earray_163),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(95,axiom,
    equal(rselect_seq(q11),earray_20),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(98,axiom,
    equal(rselect_seq(q30),earray_212),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(99,axiom,
    equal(store(earray_20,index_21,e11),earray_22),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(100,axiom,
    equal(rselect_seq(q12),earray_29),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(101,axiom,
    equal(store(earray_29,index_30,e12),earray_31),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(102,axiom,
    equal(rselect_seq(q13),earray_35),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(103,axiom,
    equal(store(earray_35,index_36,e13),earray_37),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(105,axiom,
    equal(rselect_seq(q14),earray_41),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(106,axiom,
    equal(store(earray_41,index_42,e14),earray_43),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(107,axiom,
    equal(rselect_seq(q15),earray_50),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(108,axiom,
    equal(store(earray_50,index_51,e15),earray_52),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(109,axiom,
    equal(rselect_seq(q16),earray_56),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(110,axiom,
    equal(store(earray_56,index_57,e16),earray_58),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(111,axiom,
    equal(rselect_seq(q17),earray_62),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(112,axiom,
    equal(store(earray_62,index_63,e17),earray_64),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(113,axiom,
    equal(rselect_seq(q18),earray_71),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(114,axiom,
    equal(store(earray_71,index_72,e18),earray_73),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(118,axiom,
    equal(rselect_seq(q19),earray_83),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(119,axiom,
    equal(store(earray_83,index_84,e19),earray_85),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(120,axiom,
    equal(rselect_seq(q20),earray_89),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(121,axiom,
    equal(store(earray_89,index_90,e20),earray_91),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(122,axiom,
    equal(rselect_seq(q21),earray_98),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(123,axiom,
    equal(select(earray_212,index_213),elem_214),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(124,axiom,
    equal(rselect_tail(q),index_0),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(125,axiom,
    equal(s(index_99),index_102),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(126,axiom,
    equal(rselect_tail(q22),index_105),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(127,axiom,
    equal(s(index_105),index_108),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(128,axiom,
    equal(rselect_tail(q23),index_111),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(129,axiom,
    equal(s(index_111),index_114),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(130,axiom,
    equal(rselect_head(queue_115),index_116),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(131,axiom,
    equal(s(index_116),index_117),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(132,axiom,
    equal(s(index_9),index_12),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(133,axiom,
    equal(rselect_tail(q24),index_120),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(134,axiom,
    equal(s(index_120),index_123),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(135,axiom,
    equal(rselect_tail(q25),index_126),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(136,axiom,
    equal(s(index_126),index_129),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(137,axiom,
    equal(rselect_tail(q26),index_132),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(138,axiom,
    equal(s(index_132),index_135),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(139,axiom,
    equal(rselect_head(queue_136),index_137),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(140,axiom,
    equal(s(index_137),index_138),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(141,axiom,
    equal(rselect_tail(q27),index_141),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(142,axiom,
    equal(s(index_141),index_144),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(143,axiom,
    equal(rselect_tail(q28),index_147),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(144,axiom,
    equal(rselect_tail(q10),index_15),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(145,axiom,
    equal(s(index_147),index_150),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(146,axiom,
    equal(rselect_tail(q2),index_153),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(147,axiom,
    equal(s(index_153),index_156),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(148,axiom,
    equal(rselect_head(queue_157),index_158),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(149,axiom,
    equal(s(index_158),index_159),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(150,axiom,
    equal(rselect_tail(q29),index_162),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(152,axiom,
    equal(rselect_head(queue_166),index_167),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(153,axiom,
    equal(s(index_167),index_168),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(154,axiom,
    equal(rselect_tail(q3),index_171),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(155,axiom,
    equal(s(index_171),index_174),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(156,axiom,
    equal(rselect_tail(q4),index_177),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(157,axiom,
    equal(s(index_15),index_18),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(158,axiom,
    equal(s(index_177),index_180),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(159,axiom,
    equal(rselect_tail(q5),index_183),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(160,axiom,
    equal(s(index_183),index_186),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(161,axiom,
    equal(rselect_head(queue_187),index_188),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(162,axiom,
    equal(s(index_188),index_189),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(163,axiom,
    equal(rselect_tail(q6),index_192),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(164,axiom,
    equal(s(index_192),index_195),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(165,axiom,
    equal(rselect_tail(q7),index_198),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(166,axiom,
    equal(s(index_198),index_201),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(167,axiom,
    equal(rselect_tail(q8),index_204),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(168,axiom,
    equal(s(index_204),index_207),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(169,axiom,
    equal(rselect_head(queue_208),index_209),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(170,axiom,
    equal(rselect_tail(q11),index_21),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(171,axiom,
    equal(s(index_209),index_210),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(172,axiom,
    equal(rselect_head(q30),index_213),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(173,axiom,
    equal(s(index_21),index_24),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(174,axiom,
    equal(rselect_head(queue_25),index_26),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(175,axiom,
    equal(s(index_26),index_27),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(176,axiom,
    equal(rselect_tail(q0),index_3),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(177,axiom,
    equal(rselect_tail(q12),index_30),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(178,axiom,
    equal(s(index_30),index_33),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(179,axiom,
    equal(rselect_tail(q13),index_36),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(180,axiom,
    equal(s(index_36),index_39),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(181,axiom,
    equal(rselect_tail(q14),index_42),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(182,axiom,
    equal(s(index_42),index_45),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(183,axiom,
    equal(rselect_head(queue_46),index_47),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(184,axiom,
    equal(s(index_47),index_48),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(185,axiom,
    equal(rselect_tail(q15),index_51),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(186,axiom,
    equal(s(index_51),index_54),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(187,axiom,
    equal(rselect_tail(q16),index_57),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(188,axiom,
    equal(s(index_3),index_6),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(189,axiom,
    equal(s(index_57),index_60),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(190,axiom,
    equal(rselect_tail(q17),index_63),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(191,axiom,
    equal(s(index_63),index_66),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(192,axiom,
    equal(rselect_head(queue_67),index_68),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(193,axiom,
    equal(s(index_68),index_69),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(194,axiom,
    equal(rselect_tail(q18),index_72),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(195,axiom,
    equal(s(index_72),index_75),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(196,axiom,
    equal(rselect_tail(q1),index_78),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(197,axiom,
    equal(s(index_78),index_81),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(198,axiom,
    equal(rselect_tail(q19),index_84),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(199,axiom,
    equal(s(index_84),index_87),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(200,axiom,
    equal(rselect_tail(q9),index_9),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(201,axiom,
    equal(rselect_tail(q20),index_90),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(202,axiom,
    equal(s(index_90),index_93),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(203,axiom,
    equal(rselect_head(queue_94),index_95),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(204,axiom,
    equal(s(index_95),index_96),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(205,axiom,
    equal(rselect_tail(q21),index_99),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(206,axiom,
    equal(rstore_head(q,index_0),queue_1),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(207,axiom,
    equal(rstore_seq(q21,earray_100),queue_101),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(208,axiom,
    equal(rstore_tail(queue_101,index_102),queue_103),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(209,axiom,
    equal(rstore_seq(q22,earray_106),queue_107),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(210,axiom,
    equal(rstore_tail(queue_107,index_108),queue_109),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(211,axiom,
    equal(rstore_seq(q9,earray_10),queue_11),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(212,axiom,
    equal(rstore_seq(q23,earray_112),queue_113),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(213,axiom,
    equal(rstore_tail(queue_113,index_114),queue_115),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(214,axiom,
    equal(rstore_head(queue_115,index_117),queue_118),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(215,axiom,
    equal(rstore_seq(q24,earray_121),queue_122),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(216,axiom,
    equal(rstore_tail(queue_122,index_123),queue_124),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(217,axiom,
    equal(rstore_seq(q25,earray_127),queue_128),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(218,axiom,
    equal(rstore_tail(queue_11,index_12),queue_13),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(219,axiom,
    equal(rstore_tail(queue_128,index_129),queue_130),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(220,axiom,
    equal(rstore_seq(q26,earray_133),queue_134),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(221,axiom,
    equal(rstore_tail(queue_134,index_135),queue_136),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(222,axiom,
    equal(rstore_head(queue_136,index_138),queue_139),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(223,axiom,
    equal(rstore_seq(q27,earray_142),queue_143),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(224,axiom,
    equal(rstore_tail(queue_143,index_144),queue_145),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(225,axiom,
    equal(rstore_seq(q28,earray_148),queue_149),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(226,axiom,
    equal(rstore_tail(queue_149,index_150),queue_151),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(227,axiom,
    equal(rstore_seq(q2,earray_154),queue_155),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(228,axiom,
    equal(rstore_tail(queue_155,index_156),queue_157),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(229,axiom,
    equal(rstore_head(queue_157,index_159),queue_160),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(230,axiom,
    equal(rstore_seq(q29,earray_163),queue_164),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(231,axiom,
    equal(rstore_tail(queue_164,index_165),queue_166),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(232,axiom,
    equal(rstore_head(queue_166,index_168),queue_169),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(233,axiom,
    equal(rstore_seq(q10,earray_16),queue_17),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(234,axiom,
    equal(rstore_seq(q3,earray_172),queue_173),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(235,axiom,
    equal(rstore_tail(queue_173,index_174),queue_175),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(236,axiom,
    equal(rstore_seq(q4,earray_178),queue_179),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(237,axiom,
    equal(rstore_tail(queue_179,index_180),queue_181),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(238,axiom,
    equal(rstore_seq(q5,earray_184),queue_185),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(239,axiom,
    equal(rstore_tail(queue_185,index_186),queue_187),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(240,axiom,
    equal(rstore_tail(queue_17,index_18),queue_19),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(241,axiom,
    equal(rstore_head(queue_187,index_189),queue_190),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(242,axiom,
    equal(rstore_seq(q6,earray_193),queue_194),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(243,axiom,
    equal(rstore_tail(queue_194,index_195),queue_196),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(244,axiom,
    equal(rstore_seq(q7,earray_199),queue_200),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(245,axiom,
    equal(rstore_tail(queue_200,index_201),queue_202),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(246,axiom,
    equal(rstore_seq(q8,earray_205),queue_206),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(247,axiom,
    equal(rstore_tail(queue_206,index_207),queue_208),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(248,axiom,
    equal(rstore_head(queue_208,index_210),queue_211),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(249,axiom,
    equal(rstore_seq(q11,earray_22),queue_23),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(250,axiom,
    equal(rstore_tail(queue_23,index_24),queue_25),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(251,axiom,
    equal(rstore_head(queue_25,index_27),queue_28),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(252,axiom,
    equal(rstore_seq(q12,earray_31),queue_32),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(253,axiom,
    equal(rstore_tail(queue_32,index_33),queue_34),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(254,axiom,
    equal(rstore_seq(q13,earray_37),queue_38),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(255,axiom,
    equal(rstore_tail(queue_38,index_39),queue_40),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(256,axiom,
    equal(rstore_seq(q14,earray_43),queue_44),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(257,axiom,
    equal(rstore_tail(queue_44,index_45),queue_46),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(258,axiom,
    equal(rstore_head(queue_46,index_48),queue_49),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(259,axiom,
    equal(rstore_seq(q0,earray_4),queue_5),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(260,axiom,
    equal(rstore_seq(q15,earray_52),queue_53),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(261,axiom,
    equal(rstore_tail(queue_53,index_54),queue_55),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(262,axiom,
    equal(rstore_seq(q16,earray_58),queue_59),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(263,axiom,
    equal(rstore_tail(queue_59,index_60),queue_61),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(264,axiom,
    equal(rstore_seq(q17,earray_64),queue_65),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(265,axiom,
    equal(rstore_tail(queue_65,index_66),queue_67),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(266,axiom,
    equal(rstore_tail(queue_5,index_6),queue_7),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(267,axiom,
    equal(rstore_head(queue_67,index_69),queue_70),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(268,axiom,
    equal(rstore_seq(q18,earray_73),queue_74),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(269,axiom,
    equal(rstore_tail(queue_74,index_75),queue_76),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(270,axiom,
    equal(rstore_seq(q1,earray_79),queue_80),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(271,axiom,
    equal(rstore_tail(queue_80,index_81),queue_82),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(272,axiom,
    equal(rstore_seq(q19,earray_85),queue_86),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(273,axiom,
    equal(rstore_tail(queue_86,index_87),queue_88),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(274,axiom,
    equal(rstore_seq(q20,earray_91),queue_92),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(275,axiom,
    equal(rstore_tail(queue_92,index_93),queue_94),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(276,axiom,
    equal(rstore_head(queue_94,index_96),queue_97),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(277,axiom,
    equal(queue_1,q0),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(278,axiom,
    equal(queue_7,q1),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(279,axiom,
    equal(queue_13,q10),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(280,axiom,
    equal(queue_19,q11),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(281,axiom,
    equal(queue_28,q12),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(282,axiom,
    equal(queue_34,q13),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(283,axiom,
    equal(queue_40,q14),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(284,axiom,
    equal(queue_49,q15),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(285,axiom,
    equal(queue_55,q16),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(286,axiom,
    equal(queue_61,q17),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(287,axiom,
    equal(queue_70,q18),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(288,axiom,
    equal(queue_76,q19),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(289,axiom,
    equal(queue_82,q2),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(290,axiom,
    equal(queue_88,q20),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(291,axiom,
    equal(queue_97,q21),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(292,axiom,
    equal(queue_103,q22),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(293,axiom,
    equal(queue_109,q23),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(294,axiom,
    equal(queue_118,q24),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(295,axiom,
    equal(queue_124,q25),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(296,axiom,
    equal(queue_130,q26),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(297,axiom,
    equal(queue_139,q27),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(298,axiom,
    equal(queue_145,q28),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(299,axiom,
    equal(queue_151,q29),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(300,axiom,
    equal(queue_160,q3),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(301,axiom,
    equal(queue_169,q30),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(302,axiom,
    equal(queue_175,q4),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(303,axiom,
    equal(queue_181,q5),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(304,axiom,
    equal(queue_190,q6),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(305,axiom,
    equal(queue_196,q7),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(306,axiom,
    equal(queue_202,q8),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(307,axiom,
    equal(queue_211,q9),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(308,axiom,
    ~ equal(elem_214,e10),
    file('SWV568-1.030.p',unknown),
    [] ).

cnf(309,plain,
    equal(rstore_head(queue_94,index_96),q21),
    inference(rew,[status(thm),theory(equality)],[291,276]),
    [iquote('0:Rew:291.0,276.0')] ).

cnf(310,plain,
    equal(rstore_tail(queue_86,index_87),q20),
    inference(rew,[status(thm),theory(equality)],[290,273]),
    [iquote('0:Rew:290.0,273.0')] ).

cnf(311,plain,
    equal(rstore_tail(queue_80,index_81),q2),
    inference(rew,[status(thm),theory(equality)],[289,271]),
    [iquote('0:Rew:289.0,271.0')] ).

cnf(312,plain,
    equal(rstore_tail(queue_74,index_75),q19),
    inference(rew,[status(thm),theory(equality)],[288,269]),
    [iquote('0:Rew:288.0,269.0')] ).

cnf(313,plain,
    equal(rstore_head(queue_67,index_69),q18),
    inference(rew,[status(thm),theory(equality)],[287,267]),
    [iquote('0:Rew:287.0,267.0')] ).

cnf(314,plain,
    equal(rstore_tail(queue_5,index_6),q1),
    inference(rew,[status(thm),theory(equality)],[278,266]),
    [iquote('0:Rew:278.0,266.0')] ).

cnf(315,plain,
    equal(rstore_tail(queue_59,index_60),q17),
    inference(rew,[status(thm),theory(equality)],[286,263]),
    [iquote('0:Rew:286.0,263.0')] ).

cnf(316,plain,
    equal(rstore_tail(queue_53,index_54),q16),
    inference(rew,[status(thm),theory(equality)],[285,261]),
    [iquote('0:Rew:285.0,261.0')] ).

cnf(317,plain,
    equal(rstore_head(queue_46,index_48),q15),
    inference(rew,[status(thm),theory(equality)],[284,258]),
    [iquote('0:Rew:284.0,258.0')] ).

cnf(318,plain,
    equal(rstore_tail(queue_38,index_39),q14),
    inference(rew,[status(thm),theory(equality)],[283,255]),
    [iquote('0:Rew:283.0,255.0')] ).

cnf(319,plain,
    equal(rstore_tail(queue_32,index_33),q13),
    inference(rew,[status(thm),theory(equality)],[282,253]),
    [iquote('0:Rew:282.0,253.0')] ).

cnf(320,plain,
    equal(rstore_head(queue_25,index_27),q12),
    inference(rew,[status(thm),theory(equality)],[281,251]),
    [iquote('0:Rew:281.0,251.0')] ).

cnf(321,plain,
    equal(rstore_head(queue_208,index_210),q9),
    inference(rew,[status(thm),theory(equality)],[307,248]),
    [iquote('0:Rew:307.0,248.0')] ).

cnf(322,plain,
    equal(rstore_tail(queue_200,index_201),q8),
    inference(rew,[status(thm),theory(equality)],[306,245]),
    [iquote('0:Rew:306.0,245.0')] ).

cnf(323,plain,
    equal(rstore_tail(queue_194,index_195),q7),
    inference(rew,[status(thm),theory(equality)],[305,243]),
    [iquote('0:Rew:305.0,243.0')] ).

cnf(324,plain,
    equal(rstore_head(queue_187,index_189),q6),
    inference(rew,[status(thm),theory(equality)],[304,241]),
    [iquote('0:Rew:304.0,241.0')] ).

cnf(325,plain,
    equal(rstore_tail(queue_17,index_18),q11),
    inference(rew,[status(thm),theory(equality)],[280,240]),
    [iquote('0:Rew:280.0,240.0')] ).

cnf(326,plain,
    equal(rstore_tail(queue_179,index_180),q5),
    inference(rew,[status(thm),theory(equality)],[303,237]),
    [iquote('0:Rew:303.0,237.0')] ).

cnf(327,plain,
    equal(rstore_tail(queue_173,index_174),q4),
    inference(rew,[status(thm),theory(equality)],[302,235]),
    [iquote('0:Rew:302.0,235.0')] ).

cnf(328,plain,
    equal(rstore_head(queue_166,index_168),q30),
    inference(rew,[status(thm),theory(equality)],[301,232]),
    [iquote('0:Rew:301.0,232.0')] ).

cnf(329,plain,
    equal(rstore_head(queue_157,index_159),q3),
    inference(rew,[status(thm),theory(equality)],[300,229]),
    [iquote('0:Rew:300.0,229.0')] ).

cnf(330,plain,
    equal(rstore_tail(queue_149,index_150),q29),
    inference(rew,[status(thm),theory(equality)],[299,226]),
    [iquote('0:Rew:299.0,226.0')] ).

cnf(331,plain,
    equal(rstore_tail(queue_143,index_144),q28),
    inference(rew,[status(thm),theory(equality)],[298,224]),
    [iquote('0:Rew:298.0,224.0')] ).

cnf(332,plain,
    equal(rstore_head(queue_136,index_138),q27),
    inference(rew,[status(thm),theory(equality)],[297,222]),
    [iquote('0:Rew:297.0,222.0')] ).

cnf(333,plain,
    equal(rstore_tail(queue_128,index_129),q26),
    inference(rew,[status(thm),theory(equality)],[296,219]),
    [iquote('0:Rew:296.0,219.0')] ).

cnf(334,plain,
    equal(rstore_tail(queue_11,index_12),q10),
    inference(rew,[status(thm),theory(equality)],[279,218]),
    [iquote('0:Rew:279.0,218.0')] ).

cnf(335,plain,
    equal(rstore_tail(queue_122,index_123),q25),
    inference(rew,[status(thm),theory(equality)],[295,216]),
    [iquote('0:Rew:295.0,216.0')] ).

cnf(336,plain,
    equal(rstore_head(queue_115,index_117),q24),
    inference(rew,[status(thm),theory(equality)],[294,214]),
    [iquote('0:Rew:294.0,214.0')] ).

cnf(337,plain,
    equal(rstore_tail(queue_107,index_108),q23),
    inference(rew,[status(thm),theory(equality)],[293,210]),
    [iquote('0:Rew:293.0,210.0')] ).

cnf(338,plain,
    equal(rstore_tail(queue_101,index_102),q22),
    inference(rew,[status(thm),theory(equality)],[292,208]),
    [iquote('0:Rew:292.0,208.0')] ).

cnf(339,plain,
    equal(rstore_head(q,index_0),q0),
    inference(rew,[status(thm),theory(equality)],[277,206]),
    [iquote('0:Rew:277.0,206.0')] ).

cnf(581,plain,
    ~ equal(index_18,index_15),
    inference(spl,[status(thm),theory(equality)],[157,61]),
    [iquote('0:SpL:157.0,61.0')] ).

cnf(651,plain,
    ~ equal(s(index_18),index_15),
    inference(spl,[status(thm),theory(equality)],[157,60]),
    [iquote('0:SpL:157.0,60.0')] ).

cnf(669,plain,
    equal(rselect_tail(queue_94),index_93),
    inference(spr,[status(thm),theory(equality)],[275,5]),
    [iquote('0:SpR:275.0,5.0')] ).

cnf(670,plain,
    equal(rselect_tail(q20),index_87),
    inference(spr,[status(thm),theory(equality)],[310,5]),
    [iquote('0:SpR:310.0,5.0')] ).

cnf(671,plain,
    equal(rselect_tail(q2),index_81),
    inference(spr,[status(thm),theory(equality)],[311,5]),
    [iquote('0:SpR:311.0,5.0')] ).

cnf(672,plain,
    equal(rselect_tail(q19),index_75),
    inference(spr,[status(thm),theory(equality)],[312,5]),
    [iquote('0:SpR:312.0,5.0')] ).

cnf(673,plain,
    equal(rselect_tail(q1),index_6),
    inference(spr,[status(thm),theory(equality)],[314,5]),
    [iquote('0:SpR:314.0,5.0')] ).

cnf(674,plain,
    equal(rselect_tail(queue_67),index_66),
    inference(spr,[status(thm),theory(equality)],[265,5]),
    [iquote('0:SpR:265.0,5.0')] ).

cnf(675,plain,
    equal(rselect_tail(q17),index_60),
    inference(spr,[status(thm),theory(equality)],[315,5]),
    [iquote('0:SpR:315.0,5.0')] ).

cnf(676,plain,
    equal(rselect_tail(q16),index_54),
    inference(spr,[status(thm),theory(equality)],[316,5]),
    [iquote('0:SpR:316.0,5.0')] ).

cnf(677,plain,
    equal(rselect_tail(queue_46),index_45),
    inference(spr,[status(thm),theory(equality)],[257,5]),
    [iquote('0:SpR:257.0,5.0')] ).

cnf(678,plain,
    equal(rselect_tail(q14),index_39),
    inference(spr,[status(thm),theory(equality)],[318,5]),
    [iquote('0:SpR:318.0,5.0')] ).

cnf(679,plain,
    equal(rselect_tail(q13),index_33),
    inference(spr,[status(thm),theory(equality)],[319,5]),
    [iquote('0:SpR:319.0,5.0')] ).

cnf(680,plain,
    equal(rselect_tail(queue_25),index_24),
    inference(spr,[status(thm),theory(equality)],[250,5]),
    [iquote('0:SpR:250.0,5.0')] ).

cnf(681,plain,
    equal(rselect_tail(queue_208),index_207),
    inference(spr,[status(thm),theory(equality)],[247,5]),
    [iquote('0:SpR:247.0,5.0')] ).

cnf(682,plain,
    equal(rselect_tail(q8),index_201),
    inference(spr,[status(thm),theory(equality)],[322,5]),
    [iquote('0:SpR:322.0,5.0')] ).

cnf(683,plain,
    equal(rselect_tail(q7),index_195),
    inference(spr,[status(thm),theory(equality)],[323,5]),
    [iquote('0:SpR:323.0,5.0')] ).

cnf(684,plain,
    equal(rselect_tail(q11),index_18),
    inference(spr,[status(thm),theory(equality)],[325,5]),
    [iquote('0:SpR:325.0,5.0')] ).

cnf(685,plain,
    equal(rselect_tail(queue_187),index_186),
    inference(spr,[status(thm),theory(equality)],[239,5]),
    [iquote('0:SpR:239.0,5.0')] ).

cnf(686,plain,
    equal(rselect_tail(q5),index_180),
    inference(spr,[status(thm),theory(equality)],[326,5]),
    [iquote('0:SpR:326.0,5.0')] ).

cnf(687,plain,
    equal(rselect_tail(q4),index_174),
    inference(spr,[status(thm),theory(equality)],[327,5]),
    [iquote('0:SpR:327.0,5.0')] ).

cnf(689,plain,
    equal(rselect_tail(queue_157),index_156),
    inference(spr,[status(thm),theory(equality)],[228,5]),
    [iquote('0:SpR:228.0,5.0')] ).

cnf(690,plain,
    equal(rselect_tail(q29),index_150),
    inference(spr,[status(thm),theory(equality)],[330,5]),
    [iquote('0:SpR:330.0,5.0')] ).

cnf(691,plain,
    equal(rselect_tail(q28),index_144),
    inference(spr,[status(thm),theory(equality)],[331,5]),
    [iquote('0:SpR:331.0,5.0')] ).

cnf(692,plain,
    equal(rselect_tail(queue_136),index_135),
    inference(spr,[status(thm),theory(equality)],[221,5]),
    [iquote('0:SpR:221.0,5.0')] ).

cnf(693,plain,
    equal(rselect_tail(q26),index_129),
    inference(spr,[status(thm),theory(equality)],[333,5]),
    [iquote('0:SpR:333.0,5.0')] ).

cnf(694,plain,
    equal(rselect_tail(q10),index_12),
    inference(spr,[status(thm),theory(equality)],[334,5]),
    [iquote('0:SpR:334.0,5.0')] ).

cnf(695,plain,
    equal(rselect_tail(q25),index_123),
    inference(spr,[status(thm),theory(equality)],[335,5]),
    [iquote('0:SpR:335.0,5.0')] ).

cnf(696,plain,
    equal(rselect_tail(queue_115),index_114),
    inference(spr,[status(thm),theory(equality)],[213,5]),
    [iquote('0:SpR:213.0,5.0')] ).

cnf(697,plain,
    equal(rselect_tail(q23),index_108),
    inference(spr,[status(thm),theory(equality)],[337,5]),
    [iquote('0:SpR:337.0,5.0')] ).

cnf(698,plain,
    equal(rselect_tail(q22),index_102),
    inference(spr,[status(thm),theory(equality)],[338,5]),
    [iquote('0:SpR:338.0,5.0')] ).

cnf(699,plain,
    equal(index_87,index_90),
    inference(rew,[status(thm),theory(equality)],[201,670]),
    [iquote('0:Rew:201.0,670.0')] ).

cnf(700,plain,
    equal(s(index_84),index_90),
    inference(rew,[status(thm),theory(equality)],[699,199]),
    [iquote('0:Rew:699.0,199.0')] ).

cnf(701,plain,
    equal(rstore_tail(queue_86,index_90),q20),
    inference(rew,[status(thm),theory(equality)],[699,310]),
    [iquote('0:Rew:699.0,310.0')] ).

cnf(704,plain,
    equal(index_81,index_153),
    inference(rew,[status(thm),theory(equality)],[146,671]),
    [iquote('0:Rew:146.0,671.0')] ).

cnf(705,plain,
    equal(s(index_78),index_153),
    inference(rew,[status(thm),theory(equality)],[704,197]),
    [iquote('0:Rew:704.0,197.0')] ).

cnf(706,plain,
    equal(rstore_tail(queue_80,index_153),q2),
    inference(rew,[status(thm),theory(equality)],[704,311]),
    [iquote('0:Rew:704.0,311.0')] ).

cnf(709,plain,
    equal(index_75,index_84),
    inference(rew,[status(thm),theory(equality)],[198,672]),
    [iquote('0:Rew:198.0,672.0')] ).

cnf(710,plain,
    equal(s(index_72),index_84),
    inference(rew,[status(thm),theory(equality)],[709,195]),
    [iquote('0:Rew:709.0,195.0')] ).

cnf(711,plain,
    equal(rstore_tail(queue_74,index_84),q19),
    inference(rew,[status(thm),theory(equality)],[709,312]),
    [iquote('0:Rew:709.0,312.0')] ).

cnf(714,plain,
    equal(index_6,index_78),
    inference(rew,[status(thm),theory(equality)],[196,673]),
    [iquote('0:Rew:196.0,673.0')] ).

cnf(715,plain,
    equal(s(index_3),index_78),
    inference(rew,[status(thm),theory(equality)],[714,188]),
    [iquote('0:Rew:714.0,188.0')] ).

cnf(716,plain,
    equal(rstore_tail(queue_5,index_78),q1),
    inference(rew,[status(thm),theory(equality)],[714,314]),
    [iquote('0:Rew:714.0,314.0')] ).

cnf(719,plain,
    equal(index_60,index_63),
    inference(rew,[status(thm),theory(equality)],[190,675]),
    [iquote('0:Rew:190.0,675.0')] ).

cnf(720,plain,
    equal(s(index_57),index_63),
    inference(rew,[status(thm),theory(equality)],[719,189]),
    [iquote('0:Rew:719.0,189.0')] ).

cnf(721,plain,
    equal(rstore_tail(queue_59,index_63),q17),
    inference(rew,[status(thm),theory(equality)],[719,315]),
    [iquote('0:Rew:719.0,315.0')] ).

cnf(724,plain,
    equal(index_54,index_57),
    inference(rew,[status(thm),theory(equality)],[187,676]),
    [iquote('0:Rew:187.0,676.0')] ).

cnf(725,plain,
    equal(s(index_51),index_57),
    inference(rew,[status(thm),theory(equality)],[724,186]),
    [iquote('0:Rew:724.0,186.0')] ).

cnf(726,plain,
    equal(rstore_tail(queue_53,index_57),q16),
    inference(rew,[status(thm),theory(equality)],[724,316]),
    [iquote('0:Rew:724.0,316.0')] ).

cnf(729,plain,
    equal(index_39,index_42),
    inference(rew,[status(thm),theory(equality)],[181,678]),
    [iquote('0:Rew:181.0,678.0')] ).

cnf(730,plain,
    equal(s(index_36),index_42),
    inference(rew,[status(thm),theory(equality)],[729,180]),
    [iquote('0:Rew:729.0,180.0')] ).

cnf(731,plain,
    equal(rstore_tail(queue_38,index_42),q14),
    inference(rew,[status(thm),theory(equality)],[729,318]),
    [iquote('0:Rew:729.0,318.0')] ).

cnf(734,plain,
    equal(index_33,index_36),
    inference(rew,[status(thm),theory(equality)],[179,679]),
    [iquote('0:Rew:179.0,679.0')] ).

cnf(735,plain,
    equal(s(index_30),index_36),
    inference(rew,[status(thm),theory(equality)],[734,178]),
    [iquote('0:Rew:734.0,178.0')] ).

cnf(736,plain,
    equal(rstore_tail(queue_32,index_36),q13),
    inference(rew,[status(thm),theory(equality)],[734,319]),
    [iquote('0:Rew:734.0,319.0')] ).

cnf(739,plain,
    equal(index_201,index_204),
    inference(rew,[status(thm),theory(equality)],[167,682]),
    [iquote('0:Rew:167.0,682.0')] ).

cnf(740,plain,
    equal(s(index_198),index_204),
    inference(rew,[status(thm),theory(equality)],[739,166]),
    [iquote('0:Rew:739.0,166.0')] ).

cnf(741,plain,
    equal(rstore_tail(queue_200,index_204),q8),
    inference(rew,[status(thm),theory(equality)],[739,322]),
    [iquote('0:Rew:739.0,322.0')] ).

cnf(744,plain,
    equal(index_195,index_198),
    inference(rew,[status(thm),theory(equality)],[165,683]),
    [iquote('0:Rew:165.0,683.0')] ).

cnf(745,plain,
    equal(s(index_192),index_198),
    inference(rew,[status(thm),theory(equality)],[744,164]),
    [iquote('0:Rew:744.0,164.0')] ).

cnf(746,plain,
    equal(rstore_tail(queue_194,index_198),q7),
    inference(rew,[status(thm),theory(equality)],[744,323]),
    [iquote('0:Rew:744.0,323.0')] ).

cnf(749,plain,
    equal(index_18,index_21),
    inference(rew,[status(thm),theory(equality)],[170,684]),
    [iquote('0:Rew:170.0,684.0')] ).

cnf(750,plain,
    equal(s(index_15),index_21),
    inference(rew,[status(thm),theory(equality)],[749,157]),
    [iquote('0:Rew:749.0,157.0')] ).

cnf(751,plain,
    equal(rstore_tail(queue_17,index_21),q11),
    inference(rew,[status(thm),theory(equality)],[749,325]),
    [iquote('0:Rew:749.0,325.0')] ).

cnf(752,plain,
    ~ equal(index_21,index_15),
    inference(rew,[status(thm),theory(equality)],[749,581]),
    [iquote('0:Rew:749.0,581.0')] ).

cnf(753,plain,
    ~ equal(s(index_21),index_15),
    inference(rew,[status(thm),theory(equality)],[749,651]),
    [iquote('0:Rew:749.0,651.0')] ).

cnf(754,plain,
    equal(index_180,index_183),
    inference(rew,[status(thm),theory(equality)],[159,686]),
    [iquote('0:Rew:159.0,686.0')] ).

cnf(755,plain,
    equal(s(index_177),index_183),
    inference(rew,[status(thm),theory(equality)],[754,158]),
    [iquote('0:Rew:754.0,158.0')] ).

cnf(756,plain,
    equal(rstore_tail(queue_179,index_183),q5),
    inference(rew,[status(thm),theory(equality)],[754,326]),
    [iquote('0:Rew:754.0,326.0')] ).

cnf(759,plain,
    equal(index_174,index_177),
    inference(rew,[status(thm),theory(equality)],[156,687]),
    [iquote('0:Rew:156.0,687.0')] ).

cnf(760,plain,
    equal(s(index_171),index_177),
    inference(rew,[status(thm),theory(equality)],[759,155]),
    [iquote('0:Rew:759.0,155.0')] ).

cnf(761,plain,
    equal(rstore_tail(queue_173,index_177),q4),
    inference(rew,[status(thm),theory(equality)],[759,327]),
    [iquote('0:Rew:759.0,327.0')] ).

cnf(764,plain,
    equal(index_150,index_162),
    inference(rew,[status(thm),theory(equality)],[150,690]),
    [iquote('0:Rew:150.0,690.0')] ).

cnf(765,plain,
    equal(s(index_147),index_162),
    inference(rew,[status(thm),theory(equality)],[764,145]),
    [iquote('0:Rew:764.0,145.0')] ).

cnf(766,plain,
    equal(rstore_tail(queue_149,index_162),q29),
    inference(rew,[status(thm),theory(equality)],[764,330]),
    [iquote('0:Rew:764.0,330.0')] ).

cnf(769,plain,
    equal(index_144,index_147),
    inference(rew,[status(thm),theory(equality)],[143,691]),
    [iquote('0:Rew:143.0,691.0')] ).

cnf(770,plain,
    equal(s(index_141),index_147),
    inference(rew,[status(thm),theory(equality)],[769,142]),
    [iquote('0:Rew:769.0,142.0')] ).

cnf(771,plain,
    equal(rstore_tail(queue_143,index_147),q28),
    inference(rew,[status(thm),theory(equality)],[769,331]),
    [iquote('0:Rew:769.0,331.0')] ).

cnf(774,plain,
    equal(index_129,index_132),
    inference(rew,[status(thm),theory(equality)],[137,693]),
    [iquote('0:Rew:137.0,693.0')] ).

cnf(775,plain,
    equal(s(index_126),index_132),
    inference(rew,[status(thm),theory(equality)],[774,136]),
    [iquote('0:Rew:774.0,136.0')] ).

cnf(776,plain,
    equal(rstore_tail(queue_128,index_132),q26),
    inference(rew,[status(thm),theory(equality)],[774,333]),
    [iquote('0:Rew:774.0,333.0')] ).

cnf(779,plain,
    equal(index_12,index_15),
    inference(rew,[status(thm),theory(equality)],[144,694]),
    [iquote('0:Rew:144.0,694.0')] ).

cnf(780,plain,
    equal(s(index_9),index_15),
    inference(rew,[status(thm),theory(equality)],[779,132]),
    [iquote('0:Rew:779.0,132.0')] ).

cnf(781,plain,
    equal(rstore_tail(queue_11,index_15),q10),
    inference(rew,[status(thm),theory(equality)],[779,334]),
    [iquote('0:Rew:779.0,334.0')] ).

cnf(784,plain,
    equal(index_123,index_126),
    inference(rew,[status(thm),theory(equality)],[135,695]),
    [iquote('0:Rew:135.0,695.0')] ).

cnf(785,plain,
    equal(s(index_120),index_126),
    inference(rew,[status(thm),theory(equality)],[784,134]),
    [iquote('0:Rew:784.0,134.0')] ).

cnf(786,plain,
    equal(rstore_tail(queue_122,index_126),q25),
    inference(rew,[status(thm),theory(equality)],[784,335]),
    [iquote('0:Rew:784.0,335.0')] ).

cnf(789,plain,
    equal(index_108,index_111),
    inference(rew,[status(thm),theory(equality)],[128,697]),
    [iquote('0:Rew:128.0,697.0')] ).

cnf(790,plain,
    equal(s(index_105),index_111),
    inference(rew,[status(thm),theory(equality)],[789,127]),
    [iquote('0:Rew:789.0,127.0')] ).

cnf(791,plain,
    equal(rstore_tail(queue_107,index_111),q23),
    inference(rew,[status(thm),theory(equality)],[789,337]),
    [iquote('0:Rew:789.0,337.0')] ).

cnf(794,plain,
    equal(index_102,index_105),
    inference(rew,[status(thm),theory(equality)],[126,698]),
    [iquote('0:Rew:126.0,698.0')] ).

cnf(795,plain,
    equal(s(index_99),index_105),
    inference(rew,[status(thm),theory(equality)],[794,125]),
    [iquote('0:Rew:794.0,125.0')] ).

cnf(796,plain,
    equal(rstore_tail(queue_101,index_105),q22),
    inference(rew,[status(thm),theory(equality)],[794,338]),
    [iquote('0:Rew:794.0,338.0')] ).

cnf(809,plain,
    ~ equal(index_24,index_15),
    inference(rew,[status(thm),theory(equality)],[173,753]),
    [iquote('0:Rew:173.0,753.0')] ).

cnf(970,plain,
    equal(rselect_head(q21),index_96),
    inference(spr,[status(thm),theory(equality)],[309,4]),
    [iquote('0:SpR:309.0,4.0')] ).

cnf(971,plain,
    equal(rselect_head(q18),index_69),
    inference(spr,[status(thm),theory(equality)],[313,4]),
    [iquote('0:SpR:313.0,4.0')] ).

cnf(972,plain,
    equal(rselect_head(q15),index_48),
    inference(spr,[status(thm),theory(equality)],[317,4]),
    [iquote('0:SpR:317.0,4.0')] ).

cnf(973,plain,
    equal(rselect_head(q12),index_27),
    inference(spr,[status(thm),theory(equality)],[320,4]),
    [iquote('0:SpR:320.0,4.0')] ).

cnf(974,plain,
    equal(rselect_head(q9),index_210),
    inference(spr,[status(thm),theory(equality)],[321,4]),
    [iquote('0:SpR:321.0,4.0')] ).

cnf(975,plain,
    equal(rselect_head(q6),index_189),
    inference(spr,[status(thm),theory(equality)],[324,4]),
    [iquote('0:SpR:324.0,4.0')] ).

cnf(976,plain,
    equal(rselect_head(q30),index_168),
    inference(spr,[status(thm),theory(equality)],[328,4]),
    [iquote('0:SpR:328.0,4.0')] ).

cnf(977,plain,
    equal(rselect_head(q3),index_159),
    inference(spr,[status(thm),theory(equality)],[329,4]),
    [iquote('0:SpR:329.0,4.0')] ).

cnf(978,plain,
    equal(rselect_head(q27),index_138),
    inference(spr,[status(thm),theory(equality)],[332,4]),
    [iquote('0:SpR:332.0,4.0')] ).

cnf(979,plain,
    equal(rselect_head(q24),index_117),
    inference(spr,[status(thm),theory(equality)],[336,4]),
    [iquote('0:SpR:336.0,4.0')] ).

cnf(980,plain,
    equal(rselect_head(q0),index_0),
    inference(spr,[status(thm),theory(equality)],[339,4]),
    [iquote('0:SpR:339.0,4.0')] ).

cnf(981,plain,
    equal(index_168,index_213),
    inference(rew,[status(thm),theory(equality)],[172,976]),
    [iquote('0:Rew:172.0,976.0')] ).

cnf(982,plain,
    equal(s(index_167),index_213),
    inference(rew,[status(thm),theory(equality)],[981,153]),
    [iquote('0:Rew:981.0,153.0')] ).

cnf(983,plain,
    equal(rstore_head(queue_166,index_213),q30),
    inference(rew,[status(thm),theory(equality)],[981,328]),
    [iquote('0:Rew:981.0,328.0')] ).

cnf(1003,plain,
    equal(rselect_seq(queue_92),earray_91),
    inference(spr,[status(thm),theory(equality)],[274,3]),
    [iquote('0:SpR:274.0,3.0')] ).

cnf(1004,plain,
    equal(rselect_seq(queue_86),earray_85),
    inference(spr,[status(thm),theory(equality)],[272,3]),
    [iquote('0:SpR:272.0,3.0')] ).

cnf(1006,plain,
    equal(rselect_seq(queue_74),earray_73),
    inference(spr,[status(thm),theory(equality)],[268,3]),
    [iquote('0:SpR:268.0,3.0')] ).

cnf(1007,plain,
    equal(rselect_seq(queue_65),earray_64),
    inference(spr,[status(thm),theory(equality)],[264,3]),
    [iquote('0:SpR:264.0,3.0')] ).

cnf(1008,plain,
    equal(rselect_seq(queue_59),earray_58),
    inference(spr,[status(thm),theory(equality)],[262,3]),
    [iquote('0:SpR:262.0,3.0')] ).

cnf(1009,plain,
    equal(rselect_seq(queue_53),earray_52),
    inference(spr,[status(thm),theory(equality)],[260,3]),
    [iquote('0:SpR:260.0,3.0')] ).

cnf(1011,plain,
    equal(rselect_seq(queue_44),earray_43),
    inference(spr,[status(thm),theory(equality)],[256,3]),
    [iquote('0:SpR:256.0,3.0')] ).

cnf(1012,plain,
    equal(rselect_seq(queue_38),earray_37),
    inference(spr,[status(thm),theory(equality)],[254,3]),
    [iquote('0:SpR:254.0,3.0')] ).

cnf(1013,plain,
    equal(rselect_seq(queue_32),earray_31),
    inference(spr,[status(thm),theory(equality)],[252,3]),
    [iquote('0:SpR:252.0,3.0')] ).

cnf(1014,plain,
    equal(rselect_seq(queue_23),earray_22),
    inference(spr,[status(thm),theory(equality)],[249,3]),
    [iquote('0:SpR:249.0,3.0')] ).

cnf(1021,plain,
    equal(rselect_seq(queue_17),earray_16),
    inference(spr,[status(thm),theory(equality)],[233,3]),
    [iquote('0:SpR:233.0,3.0')] ).

cnf(1022,plain,
    equal(rselect_seq(queue_164),earray_163),
    inference(spr,[status(thm),theory(equality)],[230,3]),
    [iquote('0:SpR:230.0,3.0')] ).

cnf(1024,plain,
    equal(rselect_seq(queue_149),earray_148),
    inference(spr,[status(thm),theory(equality)],[225,3]),
    [iquote('0:SpR:225.0,3.0')] ).

cnf(1025,plain,
    equal(rselect_seq(queue_143),earray_142),
    inference(spr,[status(thm),theory(equality)],[223,3]),
    [iquote('0:SpR:223.0,3.0')] ).

cnf(1026,plain,
    equal(rselect_seq(queue_134),earray_133),
    inference(spr,[status(thm),theory(equality)],[220,3]),
    [iquote('0:SpR:220.0,3.0')] ).

cnf(1027,plain,
    equal(rselect_seq(queue_128),earray_127),
    inference(spr,[status(thm),theory(equality)],[217,3]),
    [iquote('0:SpR:217.0,3.0')] ).

cnf(1028,plain,
    equal(rselect_seq(queue_122),earray_121),
    inference(spr,[status(thm),theory(equality)],[215,3]),
    [iquote('0:SpR:215.0,3.0')] ).

cnf(1029,plain,
    equal(rselect_seq(queue_113),earray_112),
    inference(spr,[status(thm),theory(equality)],[212,3]),
    [iquote('0:SpR:212.0,3.0')] ).

cnf(1030,plain,
    equal(rselect_seq(queue_11),earray_10),
    inference(spr,[status(thm),theory(equality)],[211,3]),
    [iquote('0:SpR:211.0,3.0')] ).

cnf(1031,plain,
    equal(rselect_seq(queue_107),earray_106),
    inference(spr,[status(thm),theory(equality)],[209,3]),
    [iquote('0:SpR:209.0,3.0')] ).

cnf(1032,plain,
    equal(rselect_seq(queue_101),earray_100),
    inference(spr,[status(thm),theory(equality)],[207,3]),
    [iquote('0:SpR:207.0,3.0')] ).

cnf(1065,plain,
    ~ equal(s(s(index_21)),index_15),
    inference(spl,[status(thm),theory(equality)],[750,59]),
    [iquote('0:SpL:750.0,59.0')] ).

cnf(1086,plain,
    ~ equal(s(index_24),index_15),
    inference(rew,[status(thm),theory(equality)],[173,1065]),
    [iquote('0:Rew:173.0,1065.0')] ).

cnf(1101,plain,
    equal(rselect_tail(queue_94),rselect_tail(q21)),
    inference(spr,[status(thm),theory(equality)],[309,11]),
    [iquote('0:SpR:309.0,11.0')] ).

cnf(1102,plain,
    equal(rselect_tail(queue_67),rselect_tail(q18)),
    inference(spr,[status(thm),theory(equality)],[313,11]),
    [iquote('0:SpR:313.0,11.0')] ).

cnf(1103,plain,
    equal(rselect_tail(queue_46),rselect_tail(q15)),
    inference(spr,[status(thm),theory(equality)],[317,11]),
    [iquote('0:SpR:317.0,11.0')] ).

cnf(1104,plain,
    equal(rselect_tail(queue_25),rselect_tail(q12)),
    inference(spr,[status(thm),theory(equality)],[320,11]),
    [iquote('0:SpR:320.0,11.0')] ).

cnf(1105,plain,
    equal(rselect_tail(queue_208),rselect_tail(q9)),
    inference(spr,[status(thm),theory(equality)],[321,11]),
    [iquote('0:SpR:321.0,11.0')] ).

cnf(1106,plain,
    equal(rselect_tail(queue_187),rselect_tail(q6)),
    inference(spr,[status(thm),theory(equality)],[324,11]),
    [iquote('0:SpR:324.0,11.0')] ).

cnf(1107,plain,
    equal(rselect_tail(queue_157),rselect_tail(q3)),
    inference(spr,[status(thm),theory(equality)],[329,11]),
    [iquote('0:SpR:329.0,11.0')] ).

cnf(1108,plain,
    equal(rselect_tail(queue_136),rselect_tail(q27)),
    inference(spr,[status(thm),theory(equality)],[332,11]),
    [iquote('0:SpR:332.0,11.0')] ).

cnf(1109,plain,
    equal(rselect_tail(queue_115),rselect_tail(q24)),
    inference(spr,[status(thm),theory(equality)],[336,11]),
    [iquote('0:SpR:336.0,11.0')] ).

cnf(1110,plain,
    equal(rselect_tail(q),rselect_tail(q0)),
    inference(spr,[status(thm),theory(equality)],[339,11]),
    [iquote('0:SpR:339.0,11.0')] ).

cnf(1112,plain,
    equal(index_93,index_99),
    inference(rew,[status(thm),theory(equality)],[669,1101,205]),
    [iquote('0:Rew:669.0,1101.0,205.0,1101.0')] ).

cnf(1113,plain,
    equal(s(index_90),index_99),
    inference(rew,[status(thm),theory(equality)],[1112,202]),
    [iquote('0:Rew:1112.0,202.0')] ).

cnf(1114,plain,
    equal(rstore_tail(queue_92,index_99),queue_94),
    inference(rew,[status(thm),theory(equality)],[1112,275]),
    [iquote('0:Rew:1112.0,275.0')] ).

cnf(1122,plain,
    equal(index_66,index_72),
    inference(rew,[status(thm),theory(equality)],[674,1102,194]),
    [iquote('0:Rew:674.0,1102.0,194.0,1102.0')] ).

cnf(1123,plain,
    equal(s(index_63),index_72),
    inference(rew,[status(thm),theory(equality)],[1122,191]),
    [iquote('0:Rew:1122.0,191.0')] ).

cnf(1124,plain,
    equal(rstore_tail(queue_65,index_72),queue_67),
    inference(rew,[status(thm),theory(equality)],[1122,265]),
    [iquote('0:Rew:1122.0,265.0')] ).

cnf(1132,plain,
    equal(index_45,index_51),
    inference(rew,[status(thm),theory(equality)],[677,1103,185]),
    [iquote('0:Rew:677.0,1103.0,185.0,1103.0')] ).

cnf(1133,plain,
    equal(s(index_42),index_51),
    inference(rew,[status(thm),theory(equality)],[1132,182]),
    [iquote('0:Rew:1132.0,182.0')] ).

cnf(1134,plain,
    equal(rstore_tail(queue_44,index_51),queue_46),
    inference(rew,[status(thm),theory(equality)],[1132,257]),
    [iquote('0:Rew:1132.0,257.0')] ).

cnf(1142,plain,
    equal(index_24,index_30),
    inference(rew,[status(thm),theory(equality)],[680,1104,177]),
    [iquote('0:Rew:680.0,1104.0,177.0,1104.0')] ).

cnf(1143,plain,
    equal(s(index_21),index_30),
    inference(rew,[status(thm),theory(equality)],[1142,173]),
    [iquote('0:Rew:1142.0,173.0')] ).

cnf(1144,plain,
    equal(rstore_tail(queue_23,index_30),queue_25),
    inference(rew,[status(thm),theory(equality)],[1142,250]),
    [iquote('0:Rew:1142.0,250.0')] ).

cnf(1147,plain,
    ~ equal(index_30,index_15),
    inference(rew,[status(thm),theory(equality)],[1142,809]),
    [iquote('0:Rew:1142.0,809.0')] ).

cnf(1150,plain,
    ~ equal(s(index_30),index_15),
    inference(rew,[status(thm),theory(equality)],[1142,1086]),
    [iquote('0:Rew:1142.0,1086.0')] ).

cnf(1152,plain,
    equal(index_207,index_9),
    inference(rew,[status(thm),theory(equality)],[681,1105,200]),
    [iquote('0:Rew:681.0,1105.0,200.0,1105.0')] ).

cnf(1153,plain,
    equal(s(index_204),index_9),
    inference(rew,[status(thm),theory(equality)],[1152,168]),
    [iquote('0:Rew:1152.0,168.0')] ).

cnf(1154,plain,
    equal(rstore_tail(queue_206,index_9),queue_208),
    inference(rew,[status(thm),theory(equality)],[1152,247]),
    [iquote('0:Rew:1152.0,247.0')] ).

cnf(1162,plain,
    equal(index_186,index_192),
    inference(rew,[status(thm),theory(equality)],[685,1106,163]),
    [iquote('0:Rew:685.0,1106.0,163.0,1106.0')] ).

cnf(1163,plain,
    equal(s(index_183),index_192),
    inference(rew,[status(thm),theory(equality)],[1162,160]),
    [iquote('0:Rew:1162.0,160.0')] ).

cnf(1164,plain,
    equal(rstore_tail(queue_185,index_192),queue_187),
    inference(rew,[status(thm),theory(equality)],[1162,239]),
    [iquote('0:Rew:1162.0,239.0')] ).

cnf(1172,plain,
    equal(index_156,index_171),
    inference(rew,[status(thm),theory(equality)],[689,1107,154]),
    [iquote('0:Rew:689.0,1107.0,154.0,1107.0')] ).

cnf(1173,plain,
    equal(s(index_153),index_171),
    inference(rew,[status(thm),theory(equality)],[1172,147]),
    [iquote('0:Rew:1172.0,147.0')] ).

cnf(1174,plain,
    equal(rstore_tail(queue_155,index_171),queue_157),
    inference(rew,[status(thm),theory(equality)],[1172,228]),
    [iquote('0:Rew:1172.0,228.0')] ).

cnf(1182,plain,
    equal(index_135,index_141),
    inference(rew,[status(thm),theory(equality)],[692,1108,141]),
    [iquote('0:Rew:692.0,1108.0,141.0,1108.0')] ).

cnf(1183,plain,
    equal(s(index_132),index_141),
    inference(rew,[status(thm),theory(equality)],[1182,138]),
    [iquote('0:Rew:1182.0,138.0')] ).

cnf(1184,plain,
    equal(rstore_tail(queue_134,index_141),queue_136),
    inference(rew,[status(thm),theory(equality)],[1182,221]),
    [iquote('0:Rew:1182.0,221.0')] ).

cnf(1192,plain,
    equal(index_114,index_120),
    inference(rew,[status(thm),theory(equality)],[696,1109,133]),
    [iquote('0:Rew:696.0,1109.0,133.0,1109.0')] ).

cnf(1193,plain,
    equal(s(index_111),index_120),
    inference(rew,[status(thm),theory(equality)],[1192,129]),
    [iquote('0:Rew:1192.0,129.0')] ).

cnf(1194,plain,
    equal(rstore_tail(queue_113,index_120),queue_115),
    inference(rew,[status(thm),theory(equality)],[1192,213]),
    [iquote('0:Rew:1192.0,213.0')] ).

cnf(1202,plain,
    equal(index_0,index_3),
    inference(rew,[status(thm),theory(equality)],[124,1110,176]),
    [iquote('0:Rew:124.0,1110.0,176.0,1110.0')] ).

cnf(1205,plain,
    equal(rselect_head(q0),index_3),
    inference(rew,[status(thm),theory(equality)],[1202,980]),
    [iquote('0:Rew:1202.0,980.0')] ).

cnf(1214,plain,
    ~ equal(index_36,index_15),
    inference(rew,[status(thm),theory(equality)],[735,1150]),
    [iquote('0:Rew:735.0,1150.0')] ).

cnf(1417,plain,
    equal(rselect_head(queue_92),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[274,9]),
    [iquote('0:SpR:274.0,9.0')] ).

cnf(1418,plain,
    equal(rselect_head(queue_86),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[272,9]),
    [iquote('0:SpR:272.0,9.0')] ).

cnf(1419,plain,
    equal(rselect_head(queue_80),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[270,9]),
    [iquote('0:SpR:270.0,9.0')] ).

cnf(1420,plain,
    equal(rselect_head(queue_74),rselect_head(q18)),
    inference(spr,[status(thm),theory(equality)],[268,9]),
    [iquote('0:SpR:268.0,9.0')] ).

cnf(1421,plain,
    equal(rselect_head(queue_65),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[264,9]),
    [iquote('0:SpR:264.0,9.0')] ).

cnf(1422,plain,
    equal(rselect_head(queue_59),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[262,9]),
    [iquote('0:SpR:262.0,9.0')] ).

cnf(1423,plain,
    equal(rselect_head(queue_53),rselect_head(q15)),
    inference(spr,[status(thm),theory(equality)],[260,9]),
    [iquote('0:SpR:260.0,9.0')] ).

cnf(1424,plain,
    equal(rselect_head(queue_5),rselect_head(q0)),
    inference(spr,[status(thm),theory(equality)],[259,9]),
    [iquote('0:SpR:259.0,9.0')] ).

cnf(1425,plain,
    equal(rselect_head(queue_44),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[256,9]),
    [iquote('0:SpR:256.0,9.0')] ).

cnf(1426,plain,
    equal(rselect_head(queue_38),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[254,9]),
    [iquote('0:SpR:254.0,9.0')] ).

cnf(1427,plain,
    equal(rselect_head(queue_32),rselect_head(q12)),
    inference(spr,[status(thm),theory(equality)],[252,9]),
    [iquote('0:SpR:252.0,9.0')] ).

cnf(1428,plain,
    equal(rselect_head(queue_23),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[249,9]),
    [iquote('0:SpR:249.0,9.0')] ).

cnf(1429,plain,
    equal(rselect_head(queue_206),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[246,9]),
    [iquote('0:SpR:246.0,9.0')] ).

cnf(1430,plain,
    equal(rselect_head(queue_200),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[244,9]),
    [iquote('0:SpR:244.0,9.0')] ).

cnf(1431,plain,
    equal(rselect_head(queue_194),rselect_head(q6)),
    inference(spr,[status(thm),theory(equality)],[242,9]),
    [iquote('0:SpR:242.0,9.0')] ).

cnf(1432,plain,
    equal(rselect_head(queue_185),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[238,9]),
    [iquote('0:SpR:238.0,9.0')] ).

cnf(1433,plain,
    equal(rselect_head(queue_179),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[236,9]),
    [iquote('0:SpR:236.0,9.0')] ).

cnf(1434,plain,
    equal(rselect_head(queue_173),rselect_head(q3)),
    inference(spr,[status(thm),theory(equality)],[234,9]),
    [iquote('0:SpR:234.0,9.0')] ).

cnf(1435,plain,
    equal(rselect_head(queue_17),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[233,9]),
    [iquote('0:SpR:233.0,9.0')] ).

cnf(1436,plain,
    equal(rselect_head(queue_164),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[230,9]),
    [iquote('0:SpR:230.0,9.0')] ).

cnf(1437,plain,
    equal(rselect_head(queue_155),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[227,9]),
    [iquote('0:SpR:227.0,9.0')] ).

cnf(1438,plain,
    equal(rselect_head(queue_149),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[225,9]),
    [iquote('0:SpR:225.0,9.0')] ).

cnf(1439,plain,
    equal(rselect_head(queue_143),rselect_head(q27)),
    inference(spr,[status(thm),theory(equality)],[223,9]),
    [iquote('0:SpR:223.0,9.0')] ).

cnf(1440,plain,
    equal(rselect_head(queue_134),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[220,9]),
    [iquote('0:SpR:220.0,9.0')] ).

cnf(1441,plain,
    equal(rselect_head(queue_128),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[217,9]),
    [iquote('0:SpR:217.0,9.0')] ).

cnf(1442,plain,
    equal(rselect_head(queue_122),rselect_head(q24)),
    inference(spr,[status(thm),theory(equality)],[215,9]),
    [iquote('0:SpR:215.0,9.0')] ).

cnf(1443,plain,
    equal(rselect_head(queue_113),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[212,9]),
    [iquote('0:SpR:212.0,9.0')] ).

cnf(1444,plain,
    equal(rselect_head(queue_11),rselect_head(q9)),
    inference(spr,[status(thm),theory(equality)],[211,9]),
    [iquote('0:SpR:211.0,9.0')] ).

cnf(1445,plain,
    equal(rselect_head(queue_107),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[209,9]),
    [iquote('0:SpR:209.0,9.0')] ).

cnf(1446,plain,
    equal(rselect_head(queue_101),rselect_head(q21)),
    inference(spr,[status(thm),theory(equality)],[207,9]),
    [iquote('0:SpR:207.0,9.0')] ).

cnf(1447,plain,
    equal(rselect_head(queue_74),index_69),
    inference(rew,[status(thm),theory(equality)],[971,1420]),
    [iquote('0:Rew:971.0,1420.0')] ).

cnf(1448,plain,
    equal(rselect_head(queue_53),index_48),
    inference(rew,[status(thm),theory(equality)],[972,1423]),
    [iquote('0:Rew:972.0,1423.0')] ).

cnf(1449,plain,
    equal(rselect_head(queue_5),index_3),
    inference(rew,[status(thm),theory(equality)],[1205,1424]),
    [iquote('0:Rew:1205.0,1424.0')] ).

cnf(1450,plain,
    equal(rselect_head(queue_32),index_27),
    inference(rew,[status(thm),theory(equality)],[973,1427]),
    [iquote('0:Rew:973.0,1427.0')] ).

cnf(1451,plain,
    equal(rselect_head(queue_194),index_189),
    inference(rew,[status(thm),theory(equality)],[975,1431]),
    [iquote('0:Rew:975.0,1431.0')] ).

cnf(1452,plain,
    equal(rselect_head(queue_173),index_159),
    inference(rew,[status(thm),theory(equality)],[977,1434]),
    [iquote('0:Rew:977.0,1434.0')] ).

cnf(1453,plain,
    equal(rselect_head(queue_143),index_138),
    inference(rew,[status(thm),theory(equality)],[978,1439]),
    [iquote('0:Rew:978.0,1439.0')] ).

cnf(1454,plain,
    equal(rselect_head(queue_122),index_117),
    inference(rew,[status(thm),theory(equality)],[979,1442]),
    [iquote('0:Rew:979.0,1442.0')] ).

cnf(1455,plain,
    equal(rselect_head(queue_11),index_210),
    inference(rew,[status(thm),theory(equality)],[974,1444]),
    [iquote('0:Rew:974.0,1444.0')] ).

cnf(1456,plain,
    equal(rselect_head(queue_101),index_96),
    inference(rew,[status(thm),theory(equality)],[970,1446]),
    [iquote('0:Rew:970.0,1446.0')] ).

cnf(1458,plain,
    equal(rselect_head(queue_164),rselect_head(queue_166)),
    inference(spr,[status(thm),theory(equality)],[231,8]),
    [iquote('0:SpR:231.0,8.0')] ).

cnf(1459,plain,
    equal(rselect_head(queue_86),rselect_head(q20)),
    inference(spr,[status(thm),theory(equality)],[701,8]),
    [iquote('0:SpR:701.0,8.0')] ).

cnf(1460,plain,
    equal(rselect_head(queue_80),rselect_head(q2)),
    inference(spr,[status(thm),theory(equality)],[706,8]),
    [iquote('0:SpR:706.0,8.0')] ).

cnf(1461,plain,
    equal(rselect_head(queue_74),rselect_head(q19)),
    inference(spr,[status(thm),theory(equality)],[711,8]),
    [iquote('0:SpR:711.0,8.0')] ).

cnf(1462,plain,
    equal(rselect_head(queue_5),rselect_head(q1)),
    inference(spr,[status(thm),theory(equality)],[716,8]),
    [iquote('0:SpR:716.0,8.0')] ).

cnf(1463,plain,
    equal(rselect_head(queue_59),rselect_head(q17)),
    inference(spr,[status(thm),theory(equality)],[721,8]),
    [iquote('0:SpR:721.0,8.0')] ).

cnf(1464,plain,
    equal(rselect_head(queue_53),rselect_head(q16)),
    inference(spr,[status(thm),theory(equality)],[726,8]),
    [iquote('0:SpR:726.0,8.0')] ).

cnf(1465,plain,
    equal(rselect_head(queue_38),rselect_head(q14)),
    inference(spr,[status(thm),theory(equality)],[731,8]),
    [iquote('0:SpR:731.0,8.0')] ).

cnf(1466,plain,
    equal(rselect_head(queue_32),rselect_head(q13)),
    inference(spr,[status(thm),theory(equality)],[736,8]),
    [iquote('0:SpR:736.0,8.0')] ).

cnf(1467,plain,
    equal(rselect_head(queue_200),rselect_head(q8)),
    inference(spr,[status(thm),theory(equality)],[741,8]),
    [iquote('0:SpR:741.0,8.0')] ).

cnf(1468,plain,
    equal(rselect_head(queue_194),rselect_head(q7)),
    inference(spr,[status(thm),theory(equality)],[746,8]),
    [iquote('0:SpR:746.0,8.0')] ).

cnf(1469,plain,
    equal(rselect_head(queue_17),rselect_head(q11)),
    inference(spr,[status(thm),theory(equality)],[751,8]),
    [iquote('0:SpR:751.0,8.0')] ).

cnf(1470,plain,
    equal(rselect_head(queue_179),rselect_head(q5)),
    inference(spr,[status(thm),theory(equality)],[756,8]),
    [iquote('0:SpR:756.0,8.0')] ).

cnf(1471,plain,
    equal(rselect_head(queue_173),rselect_head(q4)),
    inference(spr,[status(thm),theory(equality)],[761,8]),
    [iquote('0:SpR:761.0,8.0')] ).

cnf(1472,plain,
    equal(rselect_head(queue_149),rselect_head(q29)),
    inference(spr,[status(thm),theory(equality)],[766,8]),
    [iquote('0:SpR:766.0,8.0')] ).

cnf(1473,plain,
    equal(rselect_head(queue_143),rselect_head(q28)),
    inference(spr,[status(thm),theory(equality)],[771,8]),
    [iquote('0:SpR:771.0,8.0')] ).

cnf(1474,plain,
    equal(rselect_head(queue_128),rselect_head(q26)),
    inference(spr,[status(thm),theory(equality)],[776,8]),
    [iquote('0:SpR:776.0,8.0')] ).

cnf(1475,plain,
    equal(rselect_head(queue_11),rselect_head(q10)),
    inference(spr,[status(thm),theory(equality)],[781,8]),
    [iquote('0:SpR:781.0,8.0')] ).

cnf(1476,plain,
    equal(rselect_head(queue_122),rselect_head(q25)),
    inference(spr,[status(thm),theory(equality)],[786,8]),
    [iquote('0:SpR:786.0,8.0')] ).

cnf(1477,plain,
    equal(rselect_head(queue_107),rselect_head(q23)),
    inference(spr,[status(thm),theory(equality)],[791,8]),
    [iquote('0:SpR:791.0,8.0')] ).

cnf(1478,plain,
    equal(rselect_head(queue_101),rselect_head(q22)),
    inference(spr,[status(thm),theory(equality)],[796,8]),
    [iquote('0:SpR:796.0,8.0')] ).

cnf(1479,plain,
    equal(rselect_head(queue_92),rselect_head(queue_94)),
    inference(spr,[status(thm),theory(equality)],[1114,8]),
    [iquote('0:SpR:1114.0,8.0')] ).

cnf(1480,plain,
    equal(rselect_head(queue_65),rselect_head(queue_67)),
    inference(spr,[status(thm),theory(equality)],[1124,8]),
    [iquote('0:SpR:1124.0,8.0')] ).

cnf(1481,plain,
    equal(rselect_head(queue_44),rselect_head(queue_46)),
    inference(spr,[status(thm),theory(equality)],[1134,8]),
    [iquote('0:SpR:1134.0,8.0')] ).

cnf(1482,plain,
    equal(rselect_head(queue_23),rselect_head(queue_25)),
    inference(spr,[status(thm),theory(equality)],[1144,8]),
    [iquote('0:SpR:1144.0,8.0')] ).

cnf(1483,plain,
    equal(rselect_head(queue_206),rselect_head(queue_208)),
    inference(spr,[status(thm),theory(equality)],[1154,8]),
    [iquote('0:SpR:1154.0,8.0')] ).

cnf(1484,plain,
    equal(rselect_head(queue_185),rselect_head(queue_187)),
    inference(spr,[status(thm),theory(equality)],[1164,8]),
    [iquote('0:SpR:1164.0,8.0')] ).

cnf(1485,plain,
    equal(rselect_head(queue_155),rselect_head(queue_157)),
    inference(spr,[status(thm),theory(equality)],[1174,8]),
    [iquote('0:SpR:1174.0,8.0')] ).

cnf(1486,plain,
    equal(rselect_head(queue_134),rselect_head(queue_136)),
    inference(spr,[status(thm),theory(equality)],[1184,8]),
    [iquote('0:SpR:1184.0,8.0')] ).

cnf(1487,plain,
    equal(rselect_head(queue_113),rselect_head(queue_115)),
    inference(spr,[status(thm),theory(equality)],[1194,8]),
    [iquote('0:SpR:1194.0,8.0')] ).

cnf(1488,plain,
    equal(rselect_head(queue_164),index_167),
    inference(rew,[status(thm),theory(equality)],[152,1458]),
    [iquote('0:Rew:152.0,1458.0')] ).

cnf(1489,plain,
    equal(rselect_head(q29),index_167),
    inference(rew,[status(thm),theory(equality)],[1436,1488]),
    [iquote('0:Rew:1436.0,1488.0')] ).

cnf(1491,plain,
    equal(rselect_head(q20),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[1418,1459]),
    [iquote('0:Rew:1418.0,1459.0')] ).

cnf(1492,plain,
    equal(rselect_head(queue_92),rselect_head(q19)),
    inference(rew,[status(thm),theory(equality)],[1491,1417]),
    [iquote('0:Rew:1491.0,1417.0')] ).

cnf(1493,plain,
    equal(rselect_head(q1),rselect_head(q2)),
    inference(rew,[status(thm),theory(equality)],[1419,1460]),
    [iquote('0:Rew:1419.0,1460.0')] ).

cnf(1495,plain,
    equal(rselect_head(q19),index_69),
    inference(rew,[status(thm),theory(equality)],[1447,1461]),
    [iquote('0:Rew:1447.0,1461.0')] ).

cnf(1498,plain,
    equal(rselect_head(q2),index_3),
    inference(rew,[status(thm),theory(equality)],[1449,1462,1493]),
    [iquote('0:Rew:1449.0,1462.0,1493.0,1462.0')] ).

cnf(1499,plain,
    equal(rselect_head(queue_155),index_3),
    inference(rew,[status(thm),theory(equality)],[1498,1437]),
    [iquote('0:Rew:1498.0,1437.0')] ).

cnf(1501,plain,
    equal(rselect_head(q17),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[1422,1463]),
    [iquote('0:Rew:1422.0,1463.0')] ).

cnf(1502,plain,
    equal(rselect_head(queue_65),rselect_head(q16)),
    inference(rew,[status(thm),theory(equality)],[1501,1421]),
    [iquote('0:Rew:1501.0,1421.0')] ).

cnf(1503,plain,
    equal(rselect_head(q16),index_48),
    inference(rew,[status(thm),theory(equality)],[1448,1464]),
    [iquote('0:Rew:1448.0,1464.0')] ).

cnf(1506,plain,
    equal(rselect_head(q14),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[1426,1465]),
    [iquote('0:Rew:1426.0,1465.0')] ).

cnf(1507,plain,
    equal(rselect_head(queue_44),rselect_head(q13)),
    inference(rew,[status(thm),theory(equality)],[1506,1425]),
    [iquote('0:Rew:1506.0,1425.0')] ).

cnf(1508,plain,
    equal(rselect_head(q13),index_27),
    inference(rew,[status(thm),theory(equality)],[1450,1466]),
    [iquote('0:Rew:1450.0,1466.0')] ).

cnf(1511,plain,
    equal(rselect_head(q8),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[1430,1467]),
    [iquote('0:Rew:1430.0,1467.0')] ).

cnf(1512,plain,
    equal(rselect_head(queue_206),rselect_head(q7)),
    inference(rew,[status(thm),theory(equality)],[1511,1429]),
    [iquote('0:Rew:1511.0,1429.0')] ).

cnf(1513,plain,
    equal(rselect_head(q7),index_189),
    inference(rew,[status(thm),theory(equality)],[1451,1468]),
    [iquote('0:Rew:1451.0,1468.0')] ).

cnf(1516,plain,
    equal(rselect_head(q11),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[1435,1469]),
    [iquote('0:Rew:1435.0,1469.0')] ).

cnf(1517,plain,
    equal(rselect_head(queue_23),rselect_head(q10)),
    inference(rew,[status(thm),theory(equality)],[1516,1428]),
    [iquote('0:Rew:1516.0,1428.0')] ).

cnf(1518,plain,
    equal(rselect_head(q5),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[1433,1470]),
    [iquote('0:Rew:1433.0,1470.0')] ).

cnf(1519,plain,
    equal(rselect_head(queue_185),rselect_head(q4)),
    inference(rew,[status(thm),theory(equality)],[1518,1432]),
    [iquote('0:Rew:1518.0,1432.0')] ).

cnf(1520,plain,
    equal(rselect_head(q4),index_159),
    inference(rew,[status(thm),theory(equality)],[1452,1471]),
    [iquote('0:Rew:1452.0,1471.0')] ).

cnf(1523,plain,
    equal(rselect_head(q28),index_167),
    inference(rew,[status(thm),theory(equality)],[1438,1472,1489]),
    [iquote('0:Rew:1438.0,1472.0,1489.0,1472.0')] ).

cnf(1525,plain,
    equal(index_167,index_138),
    inference(rew,[status(thm),theory(equality)],[1453,1473,1523]),
    [iquote('0:Rew:1453.0,1473.0,1523.0,1473.0')] ).

cnf(1527,plain,
    equal(s(index_138),index_213),
    inference(rew,[status(thm),theory(equality)],[1525,982]),
    [iquote('0:Rew:1525.0,982.0')] ).

cnf(1537,plain,
    equal(rselect_head(q26),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[1441,1474]),
    [iquote('0:Rew:1441.0,1474.0')] ).

cnf(1538,plain,
    equal(rselect_head(queue_134),rselect_head(q25)),
    inference(rew,[status(thm),theory(equality)],[1537,1440]),
    [iquote('0:Rew:1537.0,1440.0')] ).

cnf(1539,plain,
    equal(rselect_head(q10),index_210),
    inference(rew,[status(thm),theory(equality)],[1455,1475]),
    [iquote('0:Rew:1455.0,1475.0')] ).

cnf(1542,plain,
    equal(rselect_head(q25),index_117),
    inference(rew,[status(thm),theory(equality)],[1454,1476]),
    [iquote('0:Rew:1454.0,1476.0')] ).

cnf(1545,plain,
    equal(rselect_head(q23),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[1445,1477]),
    [iquote('0:Rew:1445.0,1477.0')] ).

cnf(1546,plain,
    equal(rselect_head(queue_113),rselect_head(q22)),
    inference(rew,[status(thm),theory(equality)],[1545,1443]),
    [iquote('0:Rew:1545.0,1443.0')] ).

cnf(1547,plain,
    equal(rselect_head(q22),index_96),
    inference(rew,[status(thm),theory(equality)],[1456,1478]),
    [iquote('0:Rew:1456.0,1478.0')] ).

cnf(1550,plain,
    equal(rselect_head(queue_92),index_95),
    inference(rew,[status(thm),theory(equality)],[203,1479]),
    [iquote('0:Rew:203.0,1479.0')] ).

cnf(1551,plain,
    equal(rselect_head(queue_65),index_68),
    inference(rew,[status(thm),theory(equality)],[192,1480]),
    [iquote('0:Rew:192.0,1480.0')] ).

cnf(1552,plain,
    equal(rselect_head(queue_44),index_47),
    inference(rew,[status(thm),theory(equality)],[183,1481]),
    [iquote('0:Rew:183.0,1481.0')] ).

cnf(1553,plain,
    equal(rselect_head(queue_23),index_26),
    inference(rew,[status(thm),theory(equality)],[174,1482]),
    [iquote('0:Rew:174.0,1482.0')] ).

cnf(1554,plain,
    equal(rselect_head(queue_206),index_209),
    inference(rew,[status(thm),theory(equality)],[169,1483]),
    [iquote('0:Rew:169.0,1483.0')] ).

cnf(1555,plain,
    equal(rselect_head(queue_185),index_188),
    inference(rew,[status(thm),theory(equality)],[161,1484]),
    [iquote('0:Rew:161.0,1484.0')] ).

cnf(1556,plain,
    equal(rselect_head(queue_155),index_158),
    inference(rew,[status(thm),theory(equality)],[148,1485]),
    [iquote('0:Rew:148.0,1485.0')] ).

cnf(1557,plain,
    equal(index_158,index_3),
    inference(rew,[status(thm),theory(equality)],[1499,1556]),
    [iquote('0:Rew:1499.0,1556.0')] ).

cnf(1558,plain,
    equal(s(index_3),index_159),
    inference(rew,[status(thm),theory(equality)],[1557,149]),
    [iquote('0:Rew:1557.0,149.0')] ).

cnf(1563,plain,
    equal(index_159,index_78),
    inference(rew,[status(thm),theory(equality)],[715,1558]),
    [iquote('0:Rew:715.0,1558.0')] ).

cnf(1567,plain,
    equal(rselect_head(q4),index_78),
    inference(rew,[status(thm),theory(equality)],[1563,1520]),
    [iquote('0:Rew:1563.0,1520.0')] ).

cnf(1571,plain,
    equal(rselect_head(queue_134),index_137),
    inference(rew,[status(thm),theory(equality)],[139,1486]),
    [iquote('0:Rew:139.0,1486.0')] ).

cnf(1572,plain,
    equal(rselect_head(queue_113),index_116),
    inference(rew,[status(thm),theory(equality)],[130,1487]),
    [iquote('0:Rew:130.0,1487.0')] ).

cnf(1573,plain,
    equal(index_95,index_69),
    inference(rew,[status(thm),theory(equality)],[1550,1492,1495]),
    [iquote('0:Rew:1550.0,1492.0,1495.0,1492.0')] ).

cnf(1574,plain,
    equal(s(index_69),index_96),
    inference(rew,[status(thm),theory(equality)],[1573,204]),
    [iquote('0:Rew:1573.0,204.0')] ).

cnf(1583,plain,
    equal(index_68,index_48),
    inference(rew,[status(thm),theory(equality)],[1551,1502,1503]),
    [iquote('0:Rew:1551.0,1502.0,1503.0,1502.0')] ).

cnf(1584,plain,
    equal(s(index_48),index_69),
    inference(rew,[status(thm),theory(equality)],[1583,193]),
    [iquote('0:Rew:1583.0,193.0')] ).

cnf(1591,plain,
    equal(index_47,index_27),
    inference(rew,[status(thm),theory(equality)],[1552,1507,1508]),
    [iquote('0:Rew:1552.0,1507.0,1508.0,1507.0')] ).

cnf(1592,plain,
    equal(s(index_27),index_48),
    inference(rew,[status(thm),theory(equality)],[1591,184]),
    [iquote('0:Rew:1591.0,184.0')] ).

cnf(1599,plain,
    equal(index_209,index_189),
    inference(rew,[status(thm),theory(equality)],[1554,1512,1513]),
    [iquote('0:Rew:1554.0,1512.0,1513.0,1512.0')] ).

cnf(1600,plain,
    equal(s(index_189),index_210),
    inference(rew,[status(thm),theory(equality)],[1599,171]),
    [iquote('0:Rew:1599.0,171.0')] ).

cnf(1608,plain,
    equal(index_26,index_210),
    inference(rew,[status(thm),theory(equality)],[1553,1517,1539]),
    [iquote('0:Rew:1553.0,1517.0,1539.0,1517.0')] ).

cnf(1609,plain,
    equal(s(index_210),index_27),
    inference(rew,[status(thm),theory(equality)],[1608,175]),
    [iquote('0:Rew:1608.0,175.0')] ).

cnf(1614,plain,
    equal(index_188,index_78),
    inference(rew,[status(thm),theory(equality)],[1555,1519,1567]),
    [iquote('0:Rew:1555.0,1519.0,1567.0,1519.0')] ).

cnf(1615,plain,
    equal(s(index_78),index_189),
    inference(rew,[status(thm),theory(equality)],[1614,162]),
    [iquote('0:Rew:1614.0,162.0')] ).

cnf(1620,plain,
    equal(index_189,index_153),
    inference(rew,[status(thm),theory(equality)],[705,1615]),
    [iquote('0:Rew:705.0,1615.0')] ).

cnf(1628,plain,
    equal(s(index_153),index_210),
    inference(rew,[status(thm),theory(equality)],[1620,1600]),
    [iquote('0:Rew:1620.0,1600.0')] ).

cnf(1633,plain,
    equal(index_210,index_171),
    inference(rew,[status(thm),theory(equality)],[1173,1628]),
    [iquote('0:Rew:1173.0,1628.0')] ).

cnf(1641,plain,
    equal(s(index_171),index_27),
    inference(rew,[status(thm),theory(equality)],[1633,1609]),
    [iquote('0:Rew:1633.0,1609.0')] ).

cnf(1648,plain,
    equal(index_27,index_177),
    inference(rew,[status(thm),theory(equality)],[760,1641]),
    [iquote('0:Rew:760.0,1641.0')] ).

cnf(1649,plain,
    equal(rstore_head(queue_25,index_177),q12),
    inference(rew,[status(thm),theory(equality)],[1648,320]),
    [iquote('0:Rew:1648.0,320.0')] ).

cnf(1656,plain,
    equal(s(index_177),index_48),
    inference(rew,[status(thm),theory(equality)],[1648,1592]),
    [iquote('0:Rew:1648.0,1592.0')] ).

cnf(1662,plain,
    equal(index_48,index_183),
    inference(rew,[status(thm),theory(equality)],[755,1656]),
    [iquote('0:Rew:755.0,1656.0')] ).

cnf(1663,plain,
    equal(rstore_head(queue_46,index_183),q15),
    inference(rew,[status(thm),theory(equality)],[1662,317]),
    [iquote('0:Rew:1662.0,317.0')] ).

cnf(1670,plain,
    equal(s(index_183),index_69),
    inference(rew,[status(thm),theory(equality)],[1662,1584]),
    [iquote('0:Rew:1662.0,1584.0')] ).

cnf(1677,plain,
    equal(index_69,index_192),
    inference(rew,[status(thm),theory(equality)],[1163,1670]),
    [iquote('0:Rew:1163.0,1670.0')] ).

cnf(1678,plain,
    equal(rstore_head(queue_67,index_192),q18),
    inference(rew,[status(thm),theory(equality)],[1677,313]),
    [iquote('0:Rew:1677.0,313.0')] ).

cnf(1685,plain,
    equal(s(index_192),index_96),
    inference(rew,[status(thm),theory(equality)],[1677,1574]),
    [iquote('0:Rew:1677.0,1574.0')] ).

cnf(1691,plain,
    equal(index_96,index_198),
    inference(rew,[status(thm),theory(equality)],[745,1685]),
    [iquote('0:Rew:745.0,1685.0')] ).

cnf(1692,plain,
    equal(rstore_head(queue_94,index_198),q21),
    inference(rew,[status(thm),theory(equality)],[1691,309]),
    [iquote('0:Rew:1691.0,309.0')] ).

cnf(1695,plain,
    equal(rselect_head(q22),index_198),
    inference(rew,[status(thm),theory(equality)],[1691,1547]),
    [iquote('0:Rew:1691.0,1547.0')] ).

cnf(1700,plain,
    equal(index_137,index_117),
    inference(rew,[status(thm),theory(equality)],[1571,1538,1542]),
    [iquote('0:Rew:1571.0,1538.0,1542.0,1538.0')] ).

cnf(1701,plain,
    equal(s(index_117),index_138),
    inference(rew,[status(thm),theory(equality)],[1700,140]),
    [iquote('0:Rew:1700.0,140.0')] ).

cnf(1709,plain,
    equal(index_116,index_198),
    inference(rew,[status(thm),theory(equality)],[1572,1546,1695]),
    [iquote('0:Rew:1572.0,1546.0,1695.0,1546.0')] ).

cnf(1710,plain,
    equal(s(index_198),index_117),
    inference(rew,[status(thm),theory(equality)],[1709,131]),
    [iquote('0:Rew:1709.0,131.0')] ).

cnf(1715,plain,
    equal(index_117,index_204),
    inference(rew,[status(thm),theory(equality)],[740,1710]),
    [iquote('0:Rew:740.0,1710.0')] ).

cnf(1716,plain,
    equal(rstore_head(queue_115,index_204),q24),
    inference(rew,[status(thm),theory(equality)],[1715,336]),
    [iquote('0:Rew:1715.0,336.0')] ).

cnf(1723,plain,
    equal(s(index_204),index_138),
    inference(rew,[status(thm),theory(equality)],[1715,1701]),
    [iquote('0:Rew:1715.0,1701.0')] ).

cnf(1729,plain,
    equal(index_138,index_9),
    inference(rew,[status(thm),theory(equality)],[1153,1723]),
    [iquote('0:Rew:1153.0,1723.0')] ).

cnf(1730,plain,
    equal(rstore_head(queue_136,index_9),q27),
    inference(rew,[status(thm),theory(equality)],[1729,332]),
    [iquote('0:Rew:1729.0,332.0')] ).

cnf(1735,plain,
    equal(s(index_9),index_213),
    inference(rew,[status(thm),theory(equality)],[1729,1527]),
    [iquote('0:Rew:1729.0,1527.0')] ).

cnf(1744,plain,
    equal(index_213,index_15),
    inference(rew,[status(thm),theory(equality)],[780,1735]),
    [iquote('0:Rew:780.0,1735.0')] ).

cnf(1746,plain,
    equal(select(earray_212,index_15),elem_214),
    inference(rew,[status(thm),theory(equality)],[1744,123]),
    [iquote('0:Rew:1744.0,123.0')] ).

cnf(1748,plain,
    equal(rstore_head(queue_166,index_15),q30),
    inference(rew,[status(thm),theory(equality)],[1744,983]),
    [iquote('0:Rew:1744.0,983.0')] ).

cnf(1937,plain,
    equal(rselect_seq(queue_164),rselect_seq(queue_166)),
    inference(spr,[status(thm),theory(equality)],[231,7]),
    [iquote('0:SpR:231.0,7.0')] ).

cnf(1938,plain,
    equal(rselect_seq(queue_86),rselect_seq(q20)),
    inference(spr,[status(thm),theory(equality)],[701,7]),
    [iquote('0:SpR:701.0,7.0')] ).

cnf(1940,plain,
    equal(rselect_seq(queue_74),rselect_seq(q19)),
    inference(spr,[status(thm),theory(equality)],[711,7]),
    [iquote('0:SpR:711.0,7.0')] ).

cnf(1942,plain,
    equal(rselect_seq(queue_59),rselect_seq(q17)),
    inference(spr,[status(thm),theory(equality)],[721,7]),
    [iquote('0:SpR:721.0,7.0')] ).

cnf(1943,plain,
    equal(rselect_seq(queue_53),rselect_seq(q16)),
    inference(spr,[status(thm),theory(equality)],[726,7]),
    [iquote('0:SpR:726.0,7.0')] ).

cnf(1944,plain,
    equal(rselect_seq(queue_38),rselect_seq(q14)),
    inference(spr,[status(thm),theory(equality)],[731,7]),
    [iquote('0:SpR:731.0,7.0')] ).

cnf(1945,plain,
    equal(rselect_seq(queue_32),rselect_seq(q13)),
    inference(spr,[status(thm),theory(equality)],[736,7]),
    [iquote('0:SpR:736.0,7.0')] ).

cnf(1948,plain,
    equal(rselect_seq(queue_17),rselect_seq(q11)),
    inference(spr,[status(thm),theory(equality)],[751,7]),
    [iquote('0:SpR:751.0,7.0')] ).

cnf(1951,plain,
    equal(rselect_seq(queue_149),rselect_seq(q29)),
    inference(spr,[status(thm),theory(equality)],[766,7]),
    [iquote('0:SpR:766.0,7.0')] ).

cnf(1952,plain,
    equal(rselect_seq(queue_143),rselect_seq(q28)),
    inference(spr,[status(thm),theory(equality)],[771,7]),
    [iquote('0:SpR:771.0,7.0')] ).

cnf(1953,plain,
    equal(rselect_seq(queue_128),rselect_seq(q26)),
    inference(spr,[status(thm),theory(equality)],[776,7]),
    [iquote('0:SpR:776.0,7.0')] ).

cnf(1954,plain,
    equal(rselect_seq(queue_11),rselect_seq(q10)),
    inference(spr,[status(thm),theory(equality)],[781,7]),
    [iquote('0:SpR:781.0,7.0')] ).

cnf(1955,plain,
    equal(rselect_seq(queue_122),rselect_seq(q25)),
    inference(spr,[status(thm),theory(equality)],[786,7]),
    [iquote('0:SpR:786.0,7.0')] ).

cnf(1956,plain,
    equal(rselect_seq(queue_107),rselect_seq(q23)),
    inference(spr,[status(thm),theory(equality)],[791,7]),
    [iquote('0:SpR:791.0,7.0')] ).

cnf(1957,plain,
    equal(rselect_seq(queue_101),rselect_seq(q22)),
    inference(spr,[status(thm),theory(equality)],[796,7]),
    [iquote('0:SpR:796.0,7.0')] ).

cnf(1958,plain,
    equal(rselect_seq(queue_92),rselect_seq(queue_94)),
    inference(spr,[status(thm),theory(equality)],[1114,7]),
    [iquote('0:SpR:1114.0,7.0')] ).

cnf(1959,plain,
    equal(rselect_seq(queue_65),rselect_seq(queue_67)),
    inference(spr,[status(thm),theory(equality)],[1124,7]),
    [iquote('0:SpR:1124.0,7.0')] ).

cnf(1960,plain,
    equal(rselect_seq(queue_44),rselect_seq(queue_46)),
    inference(spr,[status(thm),theory(equality)],[1134,7]),
    [iquote('0:SpR:1134.0,7.0')] ).

cnf(1961,plain,
    equal(rselect_seq(queue_23),rselect_seq(queue_25)),
    inference(spr,[status(thm),theory(equality)],[1144,7]),
    [iquote('0:SpR:1144.0,7.0')] ).

cnf(1965,plain,
    equal(rselect_seq(queue_134),rselect_seq(queue_136)),
    inference(spr,[status(thm),theory(equality)],[1184,7]),
    [iquote('0:SpR:1184.0,7.0')] ).

cnf(1966,plain,
    equal(rselect_seq(queue_113),rselect_seq(queue_115)),
    inference(spr,[status(thm),theory(equality)],[1194,7]),
    [iquote('0:SpR:1194.0,7.0')] ).

cnf(1967,plain,
    equal(rselect_seq(queue_166),earray_163),
    inference(rew,[status(thm),theory(equality)],[1022,1937]),
    [iquote('0:Rew:1022.0,1937.0')] ).

cnf(1968,plain,
    equal(earray_89,earray_85),
    inference(rew,[status(thm),theory(equality)],[1004,1938,120]),
    [iquote('0:Rew:1004.0,1938.0,120.0,1938.0')] ).

cnf(1970,plain,
    equal(store(earray_85,index_90,e20),earray_91),
    inference(rew,[status(thm),theory(equality)],[1968,121]),
    [iquote('0:Rew:1968.0,121.0')] ).

cnf(1975,plain,
    equal(earray_83,earray_73),
    inference(rew,[status(thm),theory(equality)],[1006,1940,118]),
    [iquote('0:Rew:1006.0,1940.0,118.0,1940.0')] ).

cnf(1977,plain,
    equal(store(earray_73,index_84,e19),earray_85),
    inference(rew,[status(thm),theory(equality)],[1975,119]),
    [iquote('0:Rew:1975.0,119.0')] ).

cnf(1980,plain,
    equal(earray_62,earray_58),
    inference(rew,[status(thm),theory(equality)],[1008,1942,111]),
    [iquote('0:Rew:1008.0,1942.0,111.0,1942.0')] ).

cnf(1982,plain,
    equal(store(earray_58,index_63,e17),earray_64),
    inference(rew,[status(thm),theory(equality)],[1980,112]),
    [iquote('0:Rew:1980.0,112.0')] ).

cnf(1983,plain,
    equal(earray_56,earray_52),
    inference(rew,[status(thm),theory(equality)],[1009,1943,109]),
    [iquote('0:Rew:1009.0,1943.0,109.0,1943.0')] ).

cnf(1985,plain,
    equal(store(earray_52,index_57,e16),earray_58),
    inference(rew,[status(thm),theory(equality)],[1983,110]),
    [iquote('0:Rew:1983.0,110.0')] ).

cnf(1986,plain,
    equal(earray_41,earray_37),
    inference(rew,[status(thm),theory(equality)],[1012,1944,105]),
    [iquote('0:Rew:1012.0,1944.0,105.0,1944.0')] ).

cnf(1988,plain,
    equal(store(earray_37,index_42,e14),earray_43),
    inference(rew,[status(thm),theory(equality)],[1986,106]),
    [iquote('0:Rew:1986.0,106.0')] ).

cnf(1989,plain,
    equal(earray_35,earray_31),
    inference(rew,[status(thm),theory(equality)],[1013,1945,102]),
    [iquote('0:Rew:1013.0,1945.0,102.0,1945.0')] ).

cnf(1991,plain,
    equal(store(earray_31,index_36,e13),earray_37),
    inference(rew,[status(thm),theory(equality)],[1989,103]),
    [iquote('0:Rew:1989.0,103.0')] ).

cnf(1998,plain,
    equal(earray_20,earray_16),
    inference(rew,[status(thm),theory(equality)],[1021,1948,95]),
    [iquote('0:Rew:1021.0,1948.0,95.0,1948.0')] ).

cnf(2000,plain,
    equal(store(earray_16,index_21,e11),earray_22),
    inference(rew,[status(thm),theory(equality)],[1998,99]),
    [iquote('0:Rew:1998.0,99.0')] ).

cnf(2007,plain,
    equal(earray_161,earray_148),
    inference(rew,[status(thm),theory(equality)],[1024,1951,82]),
    [iquote('0:Rew:1024.0,1951.0,82.0,1951.0')] ).

cnf(2009,plain,
    equal(store(earray_148,index_162,e29),earray_163),
    inference(rew,[status(thm),theory(equality)],[2007,83]),
    [iquote('0:Rew:2007.0,83.0')] ).

cnf(2010,plain,
    equal(earray_146,earray_142),
    inference(rew,[status(thm),theory(equality)],[1025,1952,77]),
    [iquote('0:Rew:1025.0,1952.0,77.0,1952.0')] ).

cnf(2012,plain,
    equal(store(earray_142,index_147,e28),earray_148),
    inference(rew,[status(thm),theory(equality)],[2010,78]),
    [iquote('0:Rew:2010.0,78.0')] ).

cnf(2013,plain,
    equal(earray_131,earray_127),
    inference(rew,[status(thm),theory(equality)],[1027,1953,72]),
    [iquote('0:Rew:1027.0,1953.0,72.0,1953.0')] ).

cnf(2015,plain,
    equal(store(earray_127,index_132,e26),earray_133),
    inference(rew,[status(thm),theory(equality)],[2013,73]),
    [iquote('0:Rew:2013.0,73.0')] ).

cnf(2016,plain,
    equal(earray_14,earray_10),
    inference(rew,[status(thm),theory(equality)],[1030,1954,74]),
    [iquote('0:Rew:1030.0,1954.0,74.0,1954.0')] ).

cnf(2018,plain,
    equal(store(earray_10,index_15,e10),earray_16),
    inference(rew,[status(thm),theory(equality)],[2016,81]),
    [iquote('0:Rew:2016.0,81.0')] ).

cnf(2019,plain,
    equal(earray_125,earray_121),
    inference(rew,[status(thm),theory(equality)],[1028,1955,70]),
    [iquote('0:Rew:1028.0,1955.0,70.0,1955.0')] ).

cnf(2021,plain,
    equal(store(earray_121,index_126,e25),earray_127),
    inference(rew,[status(thm),theory(equality)],[2019,71]),
    [iquote('0:Rew:2019.0,71.0')] ).

cnf(2022,plain,
    equal(earray_110,earray_106),
    inference(rew,[status(thm),theory(equality)],[1031,1956,66]),
    [iquote('0:Rew:1031.0,1956.0,66.0,1956.0')] ).

cnf(2024,plain,
    equal(store(earray_106,index_111,e23),earray_112),
    inference(rew,[status(thm),theory(equality)],[2022,67]),
    [iquote('0:Rew:2022.0,67.0')] ).

cnf(2025,plain,
    equal(earray_104,earray_100),
    inference(rew,[status(thm),theory(equality)],[1032,1957,64]),
    [iquote('0:Rew:1032.0,1957.0,64.0,1957.0')] ).

cnf(2027,plain,
    equal(store(earray_100,index_105,e22),earray_106),
    inference(rew,[status(thm),theory(equality)],[2025,65]),
    [iquote('0:Rew:2025.0,65.0')] ).

cnf(2028,plain,
    equal(rselect_seq(queue_94),earray_91),
    inference(rew,[status(thm),theory(equality)],[1003,1958]),
    [iquote('0:Rew:1003.0,1958.0')] ).

cnf(2029,plain,
    equal(rselect_seq(queue_67),earray_64),
    inference(rew,[status(thm),theory(equality)],[1007,1959]),
    [iquote('0:Rew:1007.0,1959.0')] ).

cnf(2030,plain,
    equal(rselect_seq(queue_46),earray_43),
    inference(rew,[status(thm),theory(equality)],[1011,1960]),
    [iquote('0:Rew:1011.0,1960.0')] ).

cnf(2031,plain,
    equal(rselect_seq(queue_25),earray_22),
    inference(rew,[status(thm),theory(equality)],[1014,1961]),
    [iquote('0:Rew:1014.0,1961.0')] ).

cnf(2035,plain,
    equal(rselect_seq(queue_136),earray_133),
    inference(rew,[status(thm),theory(equality)],[1026,1965]),
    [iquote('0:Rew:1026.0,1965.0')] ).

cnf(2036,plain,
    equal(rselect_seq(queue_115),earray_112),
    inference(rew,[status(thm),theory(equality)],[1029,1966]),
    [iquote('0:Rew:1029.0,1966.0')] ).

cnf(2123,plain,
    equal(rselect_seq(queue_25),rselect_seq(q12)),
    inference(spr,[status(thm),theory(equality)],[1649,6]),
    [iquote('0:SpR:1649.0,6.0')] ).

cnf(2124,plain,
    equal(rselect_seq(queue_46),rselect_seq(q15)),
    inference(spr,[status(thm),theory(equality)],[1663,6]),
    [iquote('0:SpR:1663.0,6.0')] ).

cnf(2125,plain,
    equal(rselect_seq(queue_67),rselect_seq(q18)),
    inference(spr,[status(thm),theory(equality)],[1678,6]),
    [iquote('0:SpR:1678.0,6.0')] ).

cnf(2126,plain,
    equal(rselect_seq(queue_94),rselect_seq(q21)),
    inference(spr,[status(thm),theory(equality)],[1692,6]),
    [iquote('0:SpR:1692.0,6.0')] ).

cnf(2127,plain,
    equal(rselect_seq(queue_115),rselect_seq(q24)),
    inference(spr,[status(thm),theory(equality)],[1716,6]),
    [iquote('0:SpR:1716.0,6.0')] ).

cnf(2128,plain,
    equal(rselect_seq(queue_136),rselect_seq(q27)),
    inference(spr,[status(thm),theory(equality)],[1730,6]),
    [iquote('0:SpR:1730.0,6.0')] ).

cnf(2129,plain,
    equal(rselect_seq(queue_166),rselect_seq(q30)),
    inference(spr,[status(thm),theory(equality)],[1748,6]),
    [iquote('0:SpR:1748.0,6.0')] ).

cnf(2142,plain,
    equal(earray_29,earray_22),
    inference(rew,[status(thm),theory(equality)],[2031,2123,100]),
    [iquote('0:Rew:2031.0,2123.0,100.0,2123.0')] ).

cnf(2144,plain,
    equal(store(earray_22,index_30,e12),earray_31),
    inference(rew,[status(thm),theory(equality)],[2142,101]),
    [iquote('0:Rew:2142.0,101.0')] ).

cnf(2145,plain,
    equal(earray_50,earray_43),
    inference(rew,[status(thm),theory(equality)],[2030,2124,107]),
    [iquote('0:Rew:2030.0,2124.0,107.0,2124.0')] ).

cnf(2147,plain,
    equal(store(earray_43,index_51,e15),earray_52),
    inference(rew,[status(thm),theory(equality)],[2145,108]),
    [iquote('0:Rew:2145.0,108.0')] ).

cnf(2148,plain,
    equal(earray_71,earray_64),
    inference(rew,[status(thm),theory(equality)],[2029,2125,113]),
    [iquote('0:Rew:2029.0,2125.0,113.0,2125.0')] ).

cnf(2150,plain,
    equal(store(earray_64,index_72,e18),earray_73),
    inference(rew,[status(thm),theory(equality)],[2148,114]),
    [iquote('0:Rew:2148.0,114.0')] ).

cnf(2151,plain,
    equal(earray_91,earray_98),
    inference(rew,[status(thm),theory(equality)],[2028,2126,122]),
    [iquote('0:Rew:2028.0,2126.0,122.0,2126.0')] ).

cnf(2155,plain,
    equal(store(earray_85,index_90,e20),earray_98),
    inference(rew,[status(thm),theory(equality)],[2151,1970]),
    [iquote('0:Rew:2151.0,1970.0')] ).

cnf(2156,plain,
    equal(earray_119,earray_112),
    inference(rew,[status(thm),theory(equality)],[2036,2127,68]),
    [iquote('0:Rew:2036.0,2127.0,68.0,2127.0')] ).

cnf(2158,plain,
    equal(store(earray_112,index_120,e24),earray_121),
    inference(rew,[status(thm),theory(equality)],[2156,69]),
    [iquote('0:Rew:2156.0,69.0')] ).

cnf(2159,plain,
    equal(earray_140,earray_133),
    inference(rew,[status(thm),theory(equality)],[2035,2128,75]),
    [iquote('0:Rew:2035.0,2128.0,75.0,2128.0')] ).

cnf(2161,plain,
    equal(store(earray_133,index_141,e27),earray_142),
    inference(rew,[status(thm),theory(equality)],[2159,76]),
    [iquote('0:Rew:2159.0,76.0')] ).

cnf(2162,plain,
    equal(earray_212,earray_163),
    inference(rew,[status(thm),theory(equality)],[1967,2129,98]),
    [iquote('0:Rew:1967.0,2129.0,98.0,2129.0')] ).

cnf(2164,plain,
    equal(select(earray_163,index_15),elem_214),
    inference(rew,[status(thm),theory(equality)],[2162,1746]),
    [iquote('0:Rew:2162.0,1746.0')] ).

cnf(2221,plain,
    ~ equal(s(s(s(index_21))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,58]),
    [iquote('0:SpL:750.0,58.0')] ).

cnf(2250,plain,
    ~ equal(index_42,index_15),
    inference(rew,[status(thm),theory(equality)],[730,2221,735,1143]),
    [iquote('0:Rew:730.0,2221.0,735.0,2221.0,1143.0,2221.0')] ).

cnf(2287,plain,
    equal(select(earray_16,index_15),e10),
    inference(spr,[status(thm),theory(equality)],[2018,1]),
    [iquote('0:SpR:2018.0,1.0')] ).

cnf(2311,plain,
    ~ equal(s(s(s(s(index_21)))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,57]),
    [iquote('0:SpL:750.0,57.0')] ).

cnf(2340,plain,
    ~ equal(index_51,index_15),
    inference(rew,[status(thm),theory(equality)],[1133,2311,730,735,1143]),
    [iquote('0:Rew:1133.0,2311.0,730.0,2311.0,735.0,2311.0,1143.0,2311.0')] ).

cnf(2370,plain,
    ~ equal(s(s(s(s(s(index_21))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,56]),
    [iquote('0:SpL:750.0,56.0')] ).

cnf(2399,plain,
    ~ equal(index_57,index_15),
    inference(rew,[status(thm),theory(equality)],[725,2370,1133,730,735,1143]),
    [iquote('0:Rew:725.0,2370.0,1133.0,2370.0,730.0,2370.0,735.0,2370.0,1143.0,2370.0')] ).

cnf(2429,plain,
    ~ equal(s(s(s(s(s(s(index_21)))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,55]),
    [iquote('0:SpL:750.0,55.0')] ).

cnf(2458,plain,
    ~ equal(index_63,index_15),
    inference(rew,[status(thm),theory(equality)],[720,2429,725,1133,730,735,1143]),
    [iquote('0:Rew:720.0,2429.0,725.0,2429.0,1133.0,2429.0,730.0,2429.0,735.0,2429.0,1143.0,2429.0')] ).

cnf(2488,plain,
    ~ equal(s(s(s(s(s(s(s(index_21))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,54]),
    [iquote('0:SpL:750.0,54.0')] ).

cnf(2517,plain,
    ~ equal(index_72,index_15),
    inference(rew,[status(thm),theory(equality)],[1123,2488,720,725,1133,730,735,1143]),
    [iquote('0:Rew:1123.0,2488.0,720.0,2488.0,725.0,2488.0,1133.0,2488.0,730.0,2488.0,735.0,2488.0,1143.0,2488.0')] ).

cnf(2547,plain,
    ~ equal(s(s(s(s(s(s(s(s(index_21)))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,53]),
    [iquote('0:SpL:750.0,53.0')] ).

cnf(2576,plain,
    ~ equal(index_84,index_15),
    inference(rew,[status(thm),theory(equality)],[710,2547,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:710.0,2547.0,1123.0,2547.0,720.0,2547.0,725.0,2547.0,1133.0,2547.0,730.0,2547.0,735.0,2547.0,1143.0,2547.0')] ).

cnf(2599,plain,
    ( equal(index_99,u)
    | equal(select(earray_98,u),select(earray_100,u)) ),
    inference(spr,[status(thm),theory(equality)],[63,2]),
    [iquote('0:SpR:63.0,2.1')] ).

cnf(2602,plain,
    ( equal(index_84,u)
    | equal(select(earray_85,u),select(earray_73,u)) ),
    inference(spr,[status(thm),theory(equality)],[1977,2]),
    [iquote('0:SpR:1977.0,2.1')] ).

cnf(2603,plain,
    ( equal(index_63,u)
    | equal(select(earray_64,u),select(earray_58,u)) ),
    inference(spr,[status(thm),theory(equality)],[1982,2]),
    [iquote('0:SpR:1982.0,2.1')] ).

cnf(2604,plain,
    ( equal(index_57,u)
    | equal(select(earray_58,u),select(earray_52,u)) ),
    inference(spr,[status(thm),theory(equality)],[1985,2]),
    [iquote('0:SpR:1985.0,2.1')] ).

cnf(2605,plain,
    ( equal(index_42,u)
    | equal(select(earray_43,u),select(earray_37,u)) ),
    inference(spr,[status(thm),theory(equality)],[1988,2]),
    [iquote('0:SpR:1988.0,2.1')] ).

cnf(2606,plain,
    ( equal(index_36,u)
    | equal(select(earray_37,u),select(earray_31,u)) ),
    inference(spr,[status(thm),theory(equality)],[1991,2]),
    [iquote('0:SpR:1991.0,2.1')] ).

cnf(2608,plain,
    ( equal(index_21,u)
    | equal(select(earray_22,u),select(earray_16,u)) ),
    inference(spr,[status(thm),theory(equality)],[2000,2]),
    [iquote('0:SpR:2000.0,2.1')] ).

cnf(2611,plain,
    ( equal(index_162,u)
    | equal(select(earray_163,u),select(earray_148,u)) ),
    inference(spr,[status(thm),theory(equality)],[2009,2]),
    [iquote('0:SpR:2009.0,2.1')] ).

cnf(2612,plain,
    ( equal(index_147,u)
    | equal(select(earray_148,u),select(earray_142,u)) ),
    inference(spr,[status(thm),theory(equality)],[2012,2]),
    [iquote('0:SpR:2012.0,2.1')] ).

cnf(2613,plain,
    ( equal(index_132,u)
    | equal(select(earray_133,u),select(earray_127,u)) ),
    inference(spr,[status(thm),theory(equality)],[2015,2]),
    [iquote('0:SpR:2015.0,2.1')] ).

cnf(2615,plain,
    ( equal(index_126,u)
    | equal(select(earray_127,u),select(earray_121,u)) ),
    inference(spr,[status(thm),theory(equality)],[2021,2]),
    [iquote('0:SpR:2021.0,2.1')] ).

cnf(2616,plain,
    ( equal(index_111,u)
    | equal(select(earray_112,u),select(earray_106,u)) ),
    inference(spr,[status(thm),theory(equality)],[2024,2]),
    [iquote('0:SpR:2024.0,2.1')] ).

cnf(2617,plain,
    ( equal(index_105,u)
    | equal(select(earray_106,u),select(earray_100,u)) ),
    inference(spr,[status(thm),theory(equality)],[2027,2]),
    [iquote('0:SpR:2027.0,2.1')] ).

cnf(2621,plain,
    ( equal(index_30,u)
    | equal(select(earray_31,u),select(earray_22,u)) ),
    inference(spr,[status(thm),theory(equality)],[2144,2]),
    [iquote('0:SpR:2144.0,2.1')] ).

cnf(2622,plain,
    ( equal(index_51,u)
    | equal(select(earray_52,u),select(earray_43,u)) ),
    inference(spr,[status(thm),theory(equality)],[2147,2]),
    [iquote('0:SpR:2147.0,2.1')] ).

cnf(2623,plain,
    ( equal(index_72,u)
    | equal(select(earray_73,u),select(earray_64,u)) ),
    inference(spr,[status(thm),theory(equality)],[2150,2]),
    [iquote('0:SpR:2150.0,2.1')] ).

cnf(2624,plain,
    ( equal(index_90,u)
    | equal(select(earray_85,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[2155,2]),
    [iquote('0:SpR:2155.0,2.1')] ).

cnf(2625,plain,
    ( equal(index_120,u)
    | equal(select(earray_121,u),select(earray_112,u)) ),
    inference(spr,[status(thm),theory(equality)],[2158,2]),
    [iquote('0:SpR:2158.0,2.1')] ).

cnf(2626,plain,
    ( equal(index_141,u)
    | equal(select(earray_142,u),select(earray_133,u)) ),
    inference(spr,[status(thm),theory(equality)],[2161,2]),
    [iquote('0:SpR:2161.0,2.1')] ).

cnf(2638,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(index_21))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,52]),
    [iquote('0:SpL:750.0,52.0')] ).

cnf(2667,plain,
    ~ equal(index_90,index_15),
    inference(rew,[status(thm),theory(equality)],[700,2638,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:700.0,2638.0,710.0,2638.0,1123.0,2638.0,720.0,2638.0,725.0,2638.0,1133.0,2638.0,730.0,2638.0,735.0,2638.0,1143.0,2638.0')] ).

cnf(2697,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(index_21)))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,51]),
    [iquote('0:SpL:750.0,51.0')] ).

cnf(2726,plain,
    ~ equal(index_15,index_99),
    inference(rew,[status(thm),theory(equality)],[1113,2697,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:1113.0,2697.0,700.0,2697.0,710.0,2697.0,1123.0,2697.0,720.0,2697.0,725.0,2697.0,1133.0,2697.0,730.0,2697.0,735.0,2697.0,1143.0,2697.0')] ).

cnf(2756,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,50]),
    [iquote('0:SpL:750.0,50.0')] ).

cnf(2785,plain,
    ~ equal(index_15,index_105),
    inference(rew,[status(thm),theory(equality)],[795,2756,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:795.0,2756.0,1113.0,2756.0,700.0,2756.0,710.0,2756.0,1123.0,2756.0,720.0,2756.0,725.0,2756.0,1133.0,2756.0,730.0,2756.0,735.0,2756.0,1143.0,2756.0')] ).

cnf(2815,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,49]),
    [iquote('0:SpL:750.0,49.0')] ).

cnf(2844,plain,
    ~ equal(index_15,index_111),
    inference(rew,[status(thm),theory(equality)],[790,2815,795,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:790.0,2815.0,795.0,2815.0,1113.0,2815.0,700.0,2815.0,710.0,2815.0,1123.0,2815.0,720.0,2815.0,725.0,2815.0,1133.0,2815.0,730.0,2815.0,735.0,2815.0,1143.0,2815.0')] ).

cnf(2874,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,48]),
    [iquote('0:SpL:750.0,48.0')] ).

cnf(2903,plain,
    ~ equal(index_15,index_120),
    inference(rew,[status(thm),theory(equality)],[1193,2874,790,795,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:1193.0,2874.0,790.0,2874.0,795.0,2874.0,1113.0,2874.0,700.0,2874.0,710.0,2874.0,1123.0,2874.0,720.0,2874.0,725.0,2874.0,1133.0,2874.0,730.0,2874.0,735.0,2874.0,1143.0,2874.0')] ).

cnf(2933,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,47]),
    [iquote('0:SpL:750.0,47.0')] ).

cnf(2962,plain,
    ~ equal(index_15,index_126),
    inference(rew,[status(thm),theory(equality)],[785,2933,1193,790,795,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:785.0,2933.0,1193.0,2933.0,790.0,2933.0,795.0,2933.0,1113.0,2933.0,700.0,2933.0,710.0,2933.0,1123.0,2933.0,720.0,2933.0,725.0,2933.0,1133.0,2933.0,730.0,2933.0,735.0,2933.0,1143.0,2933.0')] ).

cnf(2992,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,46]),
    [iquote('0:SpL:750.0,46.0')] ).

cnf(3021,plain,
    ~ equal(index_15,index_132),
    inference(rew,[status(thm),theory(equality)],[775,2992,785,1193,790,795,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:775.0,2992.0,785.0,2992.0,1193.0,2992.0,790.0,2992.0,795.0,2992.0,1113.0,2992.0,700.0,2992.0,710.0,2992.0,1123.0,2992.0,720.0,2992.0,725.0,2992.0,1133.0,2992.0,730.0,2992.0,735.0,2992.0,1143.0,2992.0')] ).

cnf(3051,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,45]),
    [iquote('0:SpL:750.0,45.0')] ).

cnf(3088,plain,
    ~ equal(index_15,index_141),
    inference(rew,[status(thm),theory(equality)],[1183,3051,775,785,1193,790,795,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:1183.0,3051.0,775.0,3051.0,785.0,3051.0,1193.0,3051.0,790.0,3051.0,795.0,3051.0,1113.0,3051.0,700.0,3051.0,710.0,3051.0,1123.0,3051.0,720.0,3051.0,725.0,3051.0,1133.0,3051.0,730.0,3051.0,735.0,3051.0,1143.0,3051.0')] ).

cnf(3110,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,44]),
    [iquote('0:SpL:750.0,44.0')] ).

cnf(3147,plain,
    ~ equal(index_15,index_147),
    inference(rew,[status(thm),theory(equality)],[770,3110,1183,775,785,1193,790,795,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:770.0,3110.0,1183.0,3110.0,775.0,3110.0,785.0,3110.0,1193.0,3110.0,790.0,3110.0,795.0,3110.0,1113.0,3110.0,700.0,3110.0,710.0,3110.0,1123.0,3110.0,720.0,3110.0,725.0,3110.0,1133.0,3110.0,730.0,3110.0,735.0,3110.0,1143.0,3110.0')] ).

cnf(3169,plain,
    ~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))))))))),index_15),
    inference(spl,[status(thm),theory(equality)],[750,43]),
    [iquote('0:SpL:750.0,43.0')] ).

cnf(3206,plain,
    ~ equal(index_162,index_15),
    inference(rew,[status(thm),theory(equality)],[765,3169,770,1183,775,785,1193,790,795,1113,700,710,1123,720,725,1133,730,735,1143]),
    [iquote('0:Rew:765.0,3169.0,770.0,3169.0,1183.0,3169.0,775.0,3169.0,785.0,3169.0,1193.0,3169.0,790.0,3169.0,795.0,3169.0,1113.0,3169.0,700.0,3169.0,710.0,3169.0,1123.0,3169.0,720.0,3169.0,725.0,3169.0,1133.0,3169.0,730.0,3169.0,735.0,3169.0,1143.0,3169.0')] ).

cnf(5115,plain,
    ( equal(index_162,index_15)
    | equal(select(earray_148,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[2611,2164]),
    [iquote('0:SpR:2611.1,2164.0')] ).

cnf(5118,plain,
    equal(select(earray_148,index_15),elem_214),
    inference(mrr,[status(thm)],[5115,3206]),
    [iquote('0:MRR:5115.0,3206.0')] ).

cnf(5121,plain,
    ( equal(index_15,index_147)
    | equal(select(earray_142,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[2612,5118]),
    [iquote('0:SpR:2612.1,5118.0')] ).

cnf(5123,plain,
    equal(select(earray_142,index_15),elem_214),
    inference(mrr,[status(thm)],[5121,3147]),
    [iquote('0:MRR:5121.0,3147.0')] ).

cnf(5154,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(select(earray_73,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[2624,2602]),
    [iquote('0:SpR:2624.1,2602.1')] ).

cnf(5163,plain,
    ( equal(index_15,index_141)
    | equal(select(earray_133,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[2626,5123]),
    [iquote('0:SpR:2626.1,5123.0')] ).

cnf(5166,plain,
    equal(select(earray_133,index_15),elem_214),
    inference(mrr,[status(thm)],[5163,3088]),
    [iquote('0:MRR:5163.0,3088.0')] ).

cnf(5168,plain,
    ( equal(index_15,index_132)
    | equal(select(earray_127,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[5166,2613]),
    [iquote('0:SpR:5166.0,2613.1')] ).

cnf(5169,plain,
    equal(select(earray_127,index_15),elem_214),
    inference(mrr,[status(thm)],[5168,3021]),
    [iquote('0:MRR:5168.0,3021.0')] ).

cnf(5171,plain,
    ( equal(index_15,index_126)
    | equal(select(earray_121,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[5169,2615]),
    [iquote('0:SpR:5169.0,2615.1')] ).

cnf(5172,plain,
    equal(select(earray_121,index_15),elem_214),
    inference(mrr,[status(thm)],[5171,2962]),
    [iquote('0:MRR:5171.0,2962.0')] ).

cnf(5174,plain,
    ( equal(index_15,index_120)
    | equal(select(earray_112,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[5172,2625]),
    [iquote('0:SpR:5172.0,2625.1')] ).

cnf(5175,plain,
    equal(select(earray_112,index_15),elem_214),
    inference(mrr,[status(thm)],[5174,2903]),
    [iquote('0:MRR:5174.0,2903.0')] ).

cnf(5177,plain,
    ( equal(index_15,index_111)
    | equal(select(earray_106,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[5175,2616]),
    [iquote('0:SpR:5175.0,2616.1')] ).

cnf(5178,plain,
    equal(select(earray_106,index_15),elem_214),
    inference(mrr,[status(thm)],[5177,2844]),
    [iquote('0:MRR:5177.0,2844.0')] ).

cnf(5180,plain,
    ( equal(index_15,index_105)
    | equal(select(earray_100,index_15),elem_214) ),
    inference(spr,[status(thm),theory(equality)],[5178,2617]),
    [iquote('0:SpR:5178.0,2617.1')] ).

cnf(5181,plain,
    equal(select(earray_100,index_15),elem_214),
    inference(mrr,[status(thm)],[5180,2785]),
    [iquote('0:MRR:5180.0,2785.0')] ).

cnf(5193,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(select(earray_64,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5154,2623]),
    [iquote('0:SpR:5154.2,2623.1')] ).

cnf(5209,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(select(earray_58,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5193,2603]),
    [iquote('0:SpR:5193.3,2603.1')] ).

cnf(5225,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(select(earray_52,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5209,2604]),
    [iquote('0:SpR:5209.4,2604.1')] ).

cnf(5241,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(index_51,u)
    | equal(select(earray_43,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5225,2622]),
    [iquote('0:SpR:5225.5,2622.1')] ).

cnf(5257,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(index_51,u)
    | equal(index_42,u)
    | equal(select(earray_37,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5241,2605]),
    [iquote('0:SpR:5241.6,2605.1')] ).

cnf(5278,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(index_51,u)
    | equal(index_42,u)
    | equal(index_36,u)
    | equal(select(earray_31,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5257,2606]),
    [iquote('0:SpR:5257.7,2606.1')] ).

cnf(5286,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(index_51,u)
    | equal(index_42,u)
    | equal(index_36,u)
    | equal(index_30,u)
    | equal(select(earray_22,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5278,2621]),
    [iquote('0:SpR:5278.8,2621.1')] ).

cnf(5294,plain,
    ( equal(index_90,u)
    | equal(index_84,u)
    | equal(index_72,u)
    | equal(index_63,u)
    | equal(index_57,u)
    | equal(index_51,u)
    | equal(index_42,u)
    | equal(index_36,u)
    | equal(index_30,u)
    | equal(index_21,u)
    | equal(select(earray_16,u),select(earray_98,u)) ),
    inference(spr,[status(thm),theory(equality)],[5286,2608]),
    [iquote('0:SpR:5286.9,2608.1')] ).

cnf(5301,plain,
    ( equal(index_90,index_15)
    | equal(index_84,index_15)
    | equal(index_72,index_15)
    | equal(index_63,index_15)
    | equal(index_57,index_15)
    | equal(index_51,index_15)
    | equal(index_42,index_15)
    | equal(index_36,index_15)
    | equal(index_30,index_15)
    | equal(index_21,index_15)
    | equal(select(earray_98,index_15),e10) ),
    inference(spr,[status(thm),theory(equality)],[5294,2287]),
    [iquote('0:SpR:5294.10,2287.0')] ).

cnf(5304,plain,
    equal(select(earray_98,index_15),e10),
    inference(mrr,[status(thm)],[5301,2667,2576,2517,2458,2399,2340,2250,1214,1147,752]),
    [iquote('0:MRR:5301.0,5301.1,5301.2,5301.3,5301.4,5301.5,5301.6,5301.7,5301.8,5301.9,2667.0,2576.0,2517.0,2458.0,2399.0,2340.0,2250.0,1214.0,1147.0,752.0')] ).

cnf(5306,plain,
    ( equal(index_15,index_99)
    | equal(select(earray_100,index_15),e10) ),
    inference(spr,[status(thm),theory(equality)],[5304,2599]),
    [iquote('0:SpR:5304.0,2599.1')] ).

cnf(5307,plain,
    ( equal(index_15,index_99)
    | equal(elem_214,e10) ),
    inference(rew,[status(thm),theory(equality)],[5181,5306]),
    [iquote('0:Rew:5181.0,5306.1')] ).

cnf(5308,plain,
    $false,
    inference(mrr,[status(thm)],[5307,2726,308]),
    [iquote('0:MRR:5307.0,5307.1,2726.0,308.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV568-1.030 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n012.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 19:16:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.67/2.90  
% 2.67/2.90  SPASS V 3.9 
% 2.67/2.90  SPASS beiseite: Proof found.
% 2.67/2.90  % SZS status Theorem
% 2.67/2.90  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.67/2.90  SPASS derived 3233 clauses, backtracked 0 clauses, performed 0 splits and kept 2581 clauses.
% 2.67/2.90  SPASS allocated 67952 KBytes.
% 2.67/2.90  SPASS spent	0:00:02.55 on the problem.
% 2.67/2.90  		0:00:00.04 for the input.
% 2.67/2.90  		0:00:00.00 for the FLOTTER CNF translation.
% 2.67/2.90  		0:00:00.47 for inferences.
% 2.67/2.90  		0:00:00.00 for the backtracking.
% 2.67/2.90  		0:00:01.84 for the reduction.
% 2.67/2.90  
% 2.67/2.90  
% 2.67/2.90  Here is a proof with depth 12, length 774 :
% 2.67/2.90  % SZS output start Refutation
% See solution above
% 2.80/3.02  Formulae used in the proof : a1 a2 a1_seq a1_head a1_tail a2_seq_head a2_seq_tail a2_head_tail a2_head_seq a2_tail_head as19 as18 as17 as16 as15 as14 as13 as12 as11 as10 as9 as8 as7 as6 as5 as4 as3 as2 as1 hyp1 hyp2 hyp3 hyp4 hyp5 hyp6 hyp7 hyp8 hyp9 hyp10 hyp11 hyp12 hyp13 hyp14 hyp15 hyp16 hyp19 hyp20 hyp21 hyp33 hyp36 hyp37 hyp38 hyp39 hyp40 hyp41 hyp43 hyp44 hyp45 hyp46 hyp47 hyp48 hyp49 hyp50 hyp51 hyp52 hyp56 hyp57 hyp58 hyp59 hyp60 hyp61 hyp62 hyp63 hyp64 hyp65 hyp66 hyp67 hyp68 hyp69 hyp70 hyp71 hyp72 hyp73 hyp74 hyp75 hyp76 hyp77 hyp78 hyp79 hyp80 hyp81 hyp82 hyp83 hyp84 hyp85 hyp86 hyp87 hyp88 hyp90 hyp91 hyp92 hyp93 hyp94 hyp95 hyp96 hyp97 hyp98 hyp99 hyp100 hyp101 hyp102 hyp103 hyp104 hyp105 hyp106 hyp107 hyp108 hyp109 hyp110 hyp111 hyp112 hyp113 hyp114 hyp115 hyp116 hyp117 hyp118 hyp119 hyp120 hyp121 hyp122 hyp123 hyp124 hyp125 hyp126 hyp127 hyp128 hyp129 hyp130 hyp131 hyp132 hyp133 hyp134 hyp135 hyp136 hyp137 hyp138 hyp139 hyp140 hyp141 hyp142 hyp143 hyp144 hyp145 hyp146 hyp147 hyp148 hyp149 hyp150 hyp151 hyp152 hyp153 hyp154 hyp155 hyp156 hyp157 hyp158 hyp159 hyp160 hyp161 hyp162 hyp163 hyp164 hyp165 hyp166 hyp167 hyp168 hyp169 hyp170 hyp171 hyp172 hyp173 hyp174 hyp175 hyp176 hyp177 hyp178 hyp179 hyp180 hyp181 hyp182 hyp183 hyp184 hyp185 hyp186 hyp187 hyp188 hyp189 hyp190 hyp191 hyp192 hyp193 hyp194 hyp195 hyp196 hyp197 hyp198 hyp199 hyp200 hyp201 hyp202 hyp203 hyp204 hyp205 hyp206 hyp207 hyp208 hyp209 hyp210 hyp211 hyp212 hyp213 hyp214 hyp215 hyp216 hyp217 hyp218 hyp219 hyp220 hyp221 hyp222 hyp223 hyp224 hyp225 hyp226 hyp227 hyp228 hyp229 hyp230 hyp231 hyp232 hyp233 hyp234 hyp235 hyp236 hyp237 hyp238 hyp239 hyp240 hyp241 hyp242 hyp243 hyp244 hyp245 goal
% 2.80/3.02  
%------------------------------------------------------------------------------