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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV571-1.043 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:23:49 PM UTC 2026

% Result   : Unsatisfiable 7.41s 1.72s
% Output   : CNFRefutation 7.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  139
%            Number of leaves      :  230
% Syntax   : Number of formulae    :  949 ( 771 unt;   0 def)
%            Number of atoms       : 1214 (1213 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  272 (   7   ~; 265   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  275 ( 275 usr; 271 con; 0-3 aty)
%            Number of variables   :  172 (   0 sgn 172   !;   0   ?; 163   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( select(store(X2,X0,X3),X1) = select(X2,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f3,axiom,
    head != tail,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',head_distinct_from_tail) ).

fof(f4,axiom,
    head != seq,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',head_distinct_from_seq) ).

fof(f6,axiom,
    ! [X0] : p(s(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ps) ).

fof(f10,axiom,
    ! [X0] : s(s(s(X0))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circular) ).

fof(f98,axiom,
    elem_262 = select(earray_260,index_261),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp87) ).

fof(f99,axiom,
    elem_265 = select(earray_260,index_264),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp88) ).

fof(f100,axiom,
    index_0 = select(q,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp89) ).

fof(f101,axiom,
    index_102 = s(index_99),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp90) ).

fof(f102,axiom,
    index_105 = select(q24,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp91) ).

fof(f103,axiom,
    index_108 = s(index_105),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp92) ).

fof(f104,axiom,
    index_111 = select(q25,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp93) ).

fof(f105,axiom,
    index_114 = s(index_111),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp94) ).

fof(f106,axiom,
    index_117 = select(q26,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp95) ).

fof(f107,axiom,
    index_12 = s(index_9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp96) ).

fof(f108,axiom,
    index_120 = s(index_117),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp97) ).

fof(f109,axiom,
    index_123 = select(q27,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp98) ).

fof(f110,axiom,
    index_126 = s(index_123),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp99) ).

fof(f111,axiom,
    index_129 = select(q28,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp100) ).

fof(f112,axiom,
    index_132 = s(index_129),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp101) ).

fof(f113,axiom,
    index_135 = select(q2,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp102) ).

fof(f114,axiom,
    index_138 = s(index_135),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp103) ).

fof(f115,axiom,
    index_141 = select(q29,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp104) ).

fof(f116,axiom,
    index_144 = s(index_141),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp105) ).

fof(f117,axiom,
    index_147 = select(q30,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp106) ).

fof(f118,axiom,
    index_15 = select(q10,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp107) ).

fof(f119,axiom,
    index_150 = s(index_147),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp108) ).

fof(f120,axiom,
    index_153 = select(q31,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp109) ).

fof(f121,axiom,
    index_156 = s(index_153),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp110) ).

fof(f122,axiom,
    index_159 = select(q32,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp111) ).

fof(f123,axiom,
    index_162 = s(index_159),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp112) ).

fof(f124,axiom,
    index_165 = select(q33,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp113) ).

fof(f125,axiom,
    index_168 = s(index_165),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp114) ).

fof(f126,axiom,
    index_171 = select(q34,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp115) ).

fof(f127,axiom,
    index_174 = s(index_171),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp116) ).

fof(f128,axiom,
    index_177 = select(q35,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp117) ).

fof(f129,axiom,
    index_18 = s(index_15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp118) ).

fof(f130,axiom,
    index_180 = s(index_177),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp119) ).

fof(f131,axiom,
    index_183 = select(q36,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp120) ).

fof(f132,axiom,
    index_186 = s(index_183),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp121) ).

fof(f133,axiom,
    index_189 = select(q37,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp122) ).

fof(f134,axiom,
    index_192 = s(index_189),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp123) ).

fof(f135,axiom,
    index_195 = select(q38,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp124) ).

fof(f136,axiom,
    index_198 = s(index_195),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp125) ).

fof(f137,axiom,
    index_201 = select(q3,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp126) ).

fof(f138,axiom,
    index_204 = s(index_201),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp127) ).

fof(f139,axiom,
    index_207 = select(q39,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp128) ).

fof(f140,axiom,
    index_21 = select(q11,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp129) ).

fof(f141,axiom,
    index_210 = s(index_207),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp130) ).

fof(f142,axiom,
    index_213 = select(q40,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp131) ).

fof(f143,axiom,
    index_216 = s(index_213),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp132) ).

fof(f144,axiom,
    index_219 = select(q41,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp133) ).

fof(f145,axiom,
    index_222 = s(index_219),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp134) ).

fof(f146,axiom,
    index_225 = select(q42,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp135) ).

fof(f147,axiom,
    index_228 = s(index_225),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp136) ).

fof(f148,axiom,
    index_231 = select(q4,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp137) ).

fof(f149,axiom,
    index_234 = s(index_231),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp138) ).

fof(f150,axiom,
    index_237 = select(q5,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp139) ).

fof(f151,axiom,
    index_24 = s(index_21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp140) ).

fof(f152,axiom,
    index_240 = s(index_237),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp141) ).

fof(f153,axiom,
    index_243 = select(q6,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp142) ).

fof(f154,axiom,
    index_246 = s(index_243),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp143) ).

fof(f155,axiom,
    index_249 = select(q7,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp144) ).

fof(f156,axiom,
    index_252 = s(index_249),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp145) ).

fof(f157,axiom,
    index_255 = select(q8,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp146) ).

fof(f158,axiom,
    index_258 = s(index_255),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp147) ).

fof(f159,axiom,
    index_261 = select(q43,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp148) ).

fof(f160,axiom,
    index_263 = select(q43,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp149) ).

fof(f161,axiom,
    s(index_264) = index_263,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp150) ).

fof(f162,plain,
    index_263 = s(index_264),
    inference(reorient_equations,[],[f161]) ).

fof(f163,axiom,
    index_27 = select(q12,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp151) ).

fof(f164,axiom,
    index_3 = select(q0,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp152) ).

fof(f165,axiom,
    index_30 = s(index_27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp153) ).

fof(f166,axiom,
    index_33 = select(q13,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp154) ).

fof(f167,axiom,
    index_36 = s(index_33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp155) ).

fof(f168,axiom,
    index_39 = select(q14,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp156) ).

fof(f169,axiom,
    index_42 = s(index_39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp157) ).

fof(f170,axiom,
    index_45 = select(q15,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp158) ).

fof(f171,axiom,
    index_48 = s(index_45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp159) ).

fof(f172,axiom,
    index_51 = select(q16,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp160) ).

fof(f173,axiom,
    index_54 = s(index_51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp161) ).

fof(f174,axiom,
    index_57 = select(q17,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp162) ).

fof(f175,axiom,
    index_6 = s(index_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp163) ).

fof(f176,axiom,
    index_60 = s(index_57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp164) ).

fof(f177,axiom,
    index_63 = select(q18,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp165) ).

fof(f178,axiom,
    index_66 = s(index_63),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp166) ).

fof(f179,axiom,
    index_69 = select(q1,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp167) ).

fof(f180,axiom,
    index_72 = s(index_69),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp168) ).

fof(f181,axiom,
    index_75 = select(q19,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp169) ).

fof(f182,axiom,
    index_78 = s(index_75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp170) ).

fof(f183,axiom,
    index_81 = select(q20,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp171) ).

fof(f184,axiom,
    index_84 = s(index_81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp172) ).

fof(f185,axiom,
    index_87 = select(q21,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp173) ).

fof(f186,axiom,
    index_9 = select(q9,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp174) ).

fof(f187,axiom,
    index_90 = s(index_87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp175) ).

fof(f188,axiom,
    index_93 = select(q22,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp176) ).

fof(f189,axiom,
    index_96 = s(index_93),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp177) ).

fof(f190,axiom,
    index_99 = select(q23,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp178) ).

fof(f191,axiom,
    queue_1 = store(q,head,index_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp179) ).

fof(f192,axiom,
    queue_101 = store(q23,seq,earray_100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp180) ).

fof(f193,axiom,
    queue_103 = store(queue_101,tail,index_102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp181) ).

fof(f194,axiom,
    queue_107 = store(q24,seq,earray_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp182) ).

fof(f195,axiom,
    queue_109 = store(queue_107,tail,index_108),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp183) ).

fof(f196,axiom,
    queue_11 = store(q9,seq,earray_10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp184) ).

fof(f197,axiom,
    queue_113 = store(q25,seq,earray_112),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp185) ).

fof(f198,axiom,
    queue_115 = store(queue_113,tail,index_114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp186) ).

fof(f199,axiom,
    queue_119 = store(q26,seq,earray_118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp187) ).

fof(f200,axiom,
    queue_121 = store(queue_119,tail,index_120),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp188) ).

fof(f201,axiom,
    queue_125 = store(q27,seq,earray_124),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp189) ).

fof(f202,axiom,
    queue_127 = store(queue_125,tail,index_126),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp190) ).

fof(f203,axiom,
    queue_13 = store(queue_11,tail,index_12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp191) ).

fof(f204,axiom,
    queue_131 = store(q28,seq,earray_130),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp192) ).

fof(f205,axiom,
    queue_133 = store(queue_131,tail,index_132),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp193) ).

fof(f206,axiom,
    queue_137 = store(q2,seq,earray_136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp194) ).

fof(f207,axiom,
    queue_139 = store(queue_137,tail,index_138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp195) ).

fof(f208,axiom,
    queue_143 = store(q29,seq,earray_142),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp196) ).

fof(f209,axiom,
    queue_145 = store(queue_143,tail,index_144),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp197) ).

fof(f210,axiom,
    queue_149 = store(q30,seq,earray_148),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp198) ).

fof(f211,axiom,
    queue_151 = store(queue_149,tail,index_150),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp199) ).

fof(f212,axiom,
    queue_155 = store(q31,seq,earray_154),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp200) ).

fof(f213,axiom,
    queue_157 = store(queue_155,tail,index_156),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp201) ).

fof(f214,axiom,
    queue_161 = store(q32,seq,earray_160),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp202) ).

fof(f215,axiom,
    queue_163 = store(queue_161,tail,index_162),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp203) ).

fof(f216,axiom,
    queue_167 = store(q33,seq,earray_166),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp204) ).

fof(f217,axiom,
    queue_169 = store(queue_167,tail,index_168),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp205) ).

fof(f218,axiom,
    queue_17 = store(q10,seq,earray_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp206) ).

fof(f219,axiom,
    queue_173 = store(q34,seq,earray_172),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp207) ).

fof(f220,axiom,
    queue_175 = store(queue_173,tail,index_174),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp208) ).

fof(f221,axiom,
    queue_179 = store(q35,seq,earray_178),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp209) ).

fof(f222,axiom,
    queue_181 = store(queue_179,tail,index_180),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp210) ).

fof(f223,axiom,
    queue_185 = store(q36,seq,earray_184),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp211) ).

fof(f224,axiom,
    queue_187 = store(queue_185,tail,index_186),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp212) ).

fof(f225,axiom,
    queue_19 = store(queue_17,tail,index_18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp213) ).

fof(f226,axiom,
    queue_191 = store(q37,seq,earray_190),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp214) ).

fof(f227,axiom,
    queue_193 = store(queue_191,tail,index_192),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp215) ).

fof(f228,axiom,
    queue_197 = store(q38,seq,earray_196),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp216) ).

fof(f229,axiom,
    queue_199 = store(queue_197,tail,index_198),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp217) ).

fof(f230,axiom,
    queue_203 = store(q3,seq,earray_202),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp218) ).

fof(f231,axiom,
    queue_205 = store(queue_203,tail,index_204),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp219) ).

fof(f232,axiom,
    queue_209 = store(q39,seq,earray_208),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp220) ).

fof(f233,axiom,
    queue_211 = store(queue_209,tail,index_210),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp221) ).

fof(f234,axiom,
    queue_215 = store(q40,seq,earray_214),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp222) ).

fof(f235,axiom,
    queue_217 = store(queue_215,tail,index_216),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp223) ).

fof(f236,axiom,
    queue_221 = store(q41,seq,earray_220),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp224) ).

fof(f237,axiom,
    queue_223 = store(queue_221,tail,index_222),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp225) ).

fof(f238,axiom,
    queue_227 = store(q42,seq,earray_226),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp226) ).

fof(f239,axiom,
    queue_229 = store(queue_227,tail,index_228),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp227) ).

fof(f240,axiom,
    queue_23 = store(q11,seq,earray_22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp228) ).

fof(f241,axiom,
    queue_233 = store(q4,seq,earray_232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp229) ).

fof(f242,axiom,
    queue_235 = store(queue_233,tail,index_234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp230) ).

fof(f243,axiom,
    queue_239 = store(q5,seq,earray_238),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp231) ).

fof(f244,axiom,
    queue_241 = store(queue_239,tail,index_240),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp232) ).

fof(f245,axiom,
    queue_245 = store(q6,seq,earray_244),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp233) ).

fof(f246,axiom,
    queue_247 = store(queue_245,tail,index_246),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp234) ).

fof(f247,axiom,
    queue_25 = store(queue_23,tail,index_24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp235) ).

fof(f248,axiom,
    queue_251 = store(q7,seq,earray_250),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp236) ).

fof(f249,axiom,
    queue_253 = store(queue_251,tail,index_252),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp237) ).

fof(f250,axiom,
    queue_257 = store(q8,seq,earray_256),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp238) ).

fof(f251,axiom,
    queue_259 = store(queue_257,tail,index_258),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp239) ).

fof(f252,axiom,
    queue_29 = store(q12,seq,earray_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp240) ).

fof(f253,axiom,
    queue_31 = store(queue_29,tail,index_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp241) ).

fof(f254,axiom,
    queue_35 = store(q13,seq,earray_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp242) ).

fof(f255,axiom,
    queue_37 = store(queue_35,tail,index_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp243) ).

fof(f256,axiom,
    queue_41 = store(q14,seq,earray_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp244) ).

fof(f257,axiom,
    queue_43 = store(queue_41,tail,index_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp245) ).

fof(f258,axiom,
    queue_47 = store(q15,seq,earray_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp246) ).

fof(f259,axiom,
    queue_49 = store(queue_47,tail,index_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp247) ).

fof(f260,axiom,
    queue_5 = store(q0,seq,earray_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp248) ).

fof(f261,axiom,
    queue_53 = store(q16,seq,earray_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp249) ).

fof(f262,axiom,
    queue_55 = store(queue_53,tail,index_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp250) ).

fof(f263,axiom,
    queue_59 = store(q17,seq,earray_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp251) ).

fof(f264,axiom,
    queue_61 = store(queue_59,tail,index_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp252) ).

fof(f265,axiom,
    queue_65 = store(q18,seq,earray_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp253) ).

fof(f266,axiom,
    queue_67 = store(queue_65,tail,index_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp254) ).

fof(f267,axiom,
    queue_7 = store(queue_5,tail,index_6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp255) ).

fof(f268,axiom,
    queue_71 = store(q1,seq,earray_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp256) ).

fof(f269,axiom,
    queue_73 = store(queue_71,tail,index_72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp257) ).

fof(f270,axiom,
    queue_77 = store(q19,seq,earray_76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp258) ).

fof(f271,axiom,
    queue_79 = store(queue_77,tail,index_78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp259) ).

fof(f272,axiom,
    queue_83 = store(q20,seq,earray_82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp260) ).

fof(f273,axiom,
    queue_85 = store(queue_83,tail,index_84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp261) ).

fof(f274,axiom,
    queue_89 = store(q21,seq,earray_88),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp262) ).

fof(f275,axiom,
    queue_91 = store(queue_89,tail,index_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp263) ).

fof(f276,axiom,
    queue_95 = store(q22,seq,earray_94),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp264) ).

fof(f277,axiom,
    queue_97 = store(queue_95,tail,index_96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp265) ).

fof(f278,axiom,
    q0 = queue_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp266) ).

fof(f279,axiom,
    q1 = queue_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp267) ).

fof(f280,axiom,
    q10 = queue_13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp268) ).

fof(f281,axiom,
    q11 = queue_19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp269) ).

fof(f282,axiom,
    q12 = queue_25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp270) ).

fof(f283,axiom,
    q13 = queue_31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp271) ).

fof(f284,axiom,
    q14 = queue_37,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp272) ).

fof(f285,axiom,
    q15 = queue_43,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp273) ).

fof(f286,axiom,
    q16 = queue_49,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp274) ).

fof(f287,axiom,
    q17 = queue_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp275) ).

fof(f288,axiom,
    q18 = queue_61,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp276) ).

fof(f289,axiom,
    q19 = queue_67,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp277) ).

fof(f290,axiom,
    q2 = queue_73,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp278) ).

fof(f291,axiom,
    q20 = queue_79,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp279) ).

fof(f292,axiom,
    q21 = queue_85,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp280) ).

fof(f293,axiom,
    q22 = queue_91,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp281) ).

fof(f294,axiom,
    q23 = queue_97,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp282) ).

fof(f295,axiom,
    q24 = queue_103,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp283) ).

fof(f296,axiom,
    q25 = queue_109,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp284) ).

fof(f297,axiom,
    q26 = queue_115,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp285) ).

fof(f298,axiom,
    q27 = queue_121,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp286) ).

fof(f299,axiom,
    q28 = queue_127,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp287) ).

fof(f300,axiom,
    q29 = queue_133,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp288) ).

fof(f301,axiom,
    q3 = queue_139,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp289) ).

fof(f302,axiom,
    q30 = queue_145,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp290) ).

fof(f303,axiom,
    q31 = queue_151,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp291) ).

fof(f304,axiom,
    q32 = queue_157,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp292) ).

fof(f305,axiom,
    q33 = queue_163,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp293) ).

fof(f306,axiom,
    q34 = queue_169,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp294) ).

fof(f307,axiom,
    q35 = queue_175,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp295) ).

fof(f308,axiom,
    q36 = queue_181,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp296) ).

fof(f309,axiom,
    q37 = queue_187,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp297) ).

fof(f310,axiom,
    q38 = queue_193,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp298) ).

fof(f311,axiom,
    q39 = queue_199,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp299) ).

fof(f312,axiom,
    q4 = queue_205,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp300) ).

fof(f313,axiom,
    q40 = queue_211,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp301) ).

fof(f314,axiom,
    q41 = queue_217,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp302) ).

fof(f315,axiom,
    q42 = queue_223,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp303) ).

fof(f316,axiom,
    q43 = queue_229,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp304) ).

fof(f317,axiom,
    q5 = queue_235,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp305) ).

fof(f318,axiom,
    q6 = queue_241,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp306) ).

fof(f319,axiom,
    q7 = queue_247,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp307) ).

fof(f320,axiom,
    q8 = queue_253,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp308) ).

fof(f321,axiom,
    q9 = queue_259,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp309) ).

fof(f322,negated_conjecture,
    elem_262 != elem_265,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f367,plain,
    index_105 = select(queue_103,tail),
    inference(definition_unfolding,[],[f102,f295]) ).

fof(f368,plain,
    index_111 = select(queue_109,tail),
    inference(definition_unfolding,[],[f104,f296]) ).

fof(f369,plain,
    index_117 = select(queue_115,tail),
    inference(definition_unfolding,[],[f106,f297]) ).

fof(f370,plain,
    index_123 = select(queue_121,tail),
    inference(definition_unfolding,[],[f109,f298]) ).

fof(f371,plain,
    index_129 = select(queue_127,tail),
    inference(definition_unfolding,[],[f111,f299]) ).

fof(f372,plain,
    index_135 = select(queue_73,tail),
    inference(definition_unfolding,[],[f113,f290]) ).

fof(f373,plain,
    index_141 = select(queue_133,tail),
    inference(definition_unfolding,[],[f115,f300]) ).

fof(f374,plain,
    index_147 = select(queue_145,tail),
    inference(definition_unfolding,[],[f117,f302]) ).

fof(f375,plain,
    index_15 = select(queue_13,tail),
    inference(definition_unfolding,[],[f118,f280]) ).

fof(f376,plain,
    index_153 = select(queue_151,tail),
    inference(definition_unfolding,[],[f120,f303]) ).

fof(f377,plain,
    index_159 = select(queue_157,tail),
    inference(definition_unfolding,[],[f122,f304]) ).

fof(f378,plain,
    index_165 = select(queue_163,tail),
    inference(definition_unfolding,[],[f124,f305]) ).

fof(f379,plain,
    index_171 = select(queue_169,tail),
    inference(definition_unfolding,[],[f126,f306]) ).

fof(f380,plain,
    index_177 = select(queue_175,tail),
    inference(definition_unfolding,[],[f128,f307]) ).

fof(f381,plain,
    index_183 = select(queue_181,tail),
    inference(definition_unfolding,[],[f131,f308]) ).

fof(f382,plain,
    index_189 = select(queue_187,tail),
    inference(definition_unfolding,[],[f133,f309]) ).

fof(f383,plain,
    index_195 = select(queue_193,tail),
    inference(definition_unfolding,[],[f135,f310]) ).

fof(f384,plain,
    index_201 = select(queue_139,tail),
    inference(definition_unfolding,[],[f137,f301]) ).

fof(f385,plain,
    index_207 = select(queue_199,tail),
    inference(definition_unfolding,[],[f139,f311]) ).

fof(f386,plain,
    index_21 = select(queue_19,tail),
    inference(definition_unfolding,[],[f140,f281]) ).

fof(f387,plain,
    index_213 = select(queue_211,tail),
    inference(definition_unfolding,[],[f142,f313]) ).

fof(f388,plain,
    index_219 = select(queue_217,tail),
    inference(definition_unfolding,[],[f144,f314]) ).

fof(f389,plain,
    index_225 = select(queue_223,tail),
    inference(definition_unfolding,[],[f146,f315]) ).

fof(f390,plain,
    index_231 = select(queue_205,tail),
    inference(definition_unfolding,[],[f148,f312]) ).

fof(f391,plain,
    index_237 = select(queue_235,tail),
    inference(definition_unfolding,[],[f150,f317]) ).

fof(f392,plain,
    index_243 = select(queue_241,tail),
    inference(definition_unfolding,[],[f153,f318]) ).

fof(f393,plain,
    index_249 = select(queue_247,tail),
    inference(definition_unfolding,[],[f155,f319]) ).

fof(f394,plain,
    index_255 = select(queue_253,tail),
    inference(definition_unfolding,[],[f157,f320]) ).

fof(f395,plain,
    index_261 = select(queue_229,head),
    inference(definition_unfolding,[],[f159,f316]) ).

fof(f396,plain,
    index_263 = select(queue_229,tail),
    inference(definition_unfolding,[],[f160,f316]) ).

fof(f397,plain,
    index_27 = select(queue_25,tail),
    inference(definition_unfolding,[],[f163,f282]) ).

fof(f398,plain,
    index_3 = select(queue_1,tail),
    inference(definition_unfolding,[],[f164,f278]) ).

fof(f399,plain,
    index_33 = select(queue_31,tail),
    inference(definition_unfolding,[],[f166,f283]) ).

fof(f400,plain,
    index_39 = select(queue_37,tail),
    inference(definition_unfolding,[],[f168,f284]) ).

fof(f401,plain,
    index_45 = select(queue_43,tail),
    inference(definition_unfolding,[],[f170,f285]) ).

fof(f402,plain,
    index_51 = select(queue_49,tail),
    inference(definition_unfolding,[],[f172,f286]) ).

fof(f403,plain,
    index_57 = select(queue_55,tail),
    inference(definition_unfolding,[],[f174,f287]) ).

fof(f404,plain,
    index_63 = select(queue_61,tail),
    inference(definition_unfolding,[],[f177,f288]) ).

fof(f405,plain,
    index_69 = select(queue_7,tail),
    inference(definition_unfolding,[],[f179,f279]) ).

fof(f406,plain,
    index_75 = select(queue_67,tail),
    inference(definition_unfolding,[],[f181,f289]) ).

fof(f407,plain,
    index_81 = select(queue_79,tail),
    inference(definition_unfolding,[],[f183,f291]) ).

fof(f408,plain,
    index_87 = select(queue_85,tail),
    inference(definition_unfolding,[],[f185,f292]) ).

fof(f409,plain,
    index_9 = select(queue_259,tail),
    inference(definition_unfolding,[],[f186,f321]) ).

fof(f410,plain,
    index_93 = select(queue_91,tail),
    inference(definition_unfolding,[],[f188,f293]) ).

fof(f411,plain,
    index_99 = select(queue_97,tail),
    inference(definition_unfolding,[],[f190,f294]) ).

fof(f412,plain,
    queue_101 = store(queue_97,seq,earray_100),
    inference(definition_unfolding,[],[f192,f294]) ).

fof(f413,plain,
    queue_107 = store(queue_103,seq,earray_106),
    inference(definition_unfolding,[],[f194,f295]) ).

fof(f414,plain,
    queue_11 = store(queue_259,seq,earray_10),
    inference(definition_unfolding,[],[f196,f321]) ).

fof(f415,plain,
    queue_113 = store(queue_109,seq,earray_112),
    inference(definition_unfolding,[],[f197,f296]) ).

fof(f416,plain,
    queue_119 = store(queue_115,seq,earray_118),
    inference(definition_unfolding,[],[f199,f297]) ).

fof(f417,plain,
    queue_125 = store(queue_121,seq,earray_124),
    inference(definition_unfolding,[],[f201,f298]) ).

fof(f418,plain,
    queue_131 = store(queue_127,seq,earray_130),
    inference(definition_unfolding,[],[f204,f299]) ).

fof(f419,plain,
    queue_137 = store(queue_73,seq,earray_136),
    inference(definition_unfolding,[],[f206,f290]) ).

fof(f420,plain,
    queue_143 = store(queue_133,seq,earray_142),
    inference(definition_unfolding,[],[f208,f300]) ).

fof(f421,plain,
    queue_149 = store(queue_145,seq,earray_148),
    inference(definition_unfolding,[],[f210,f302]) ).

fof(f422,plain,
    queue_155 = store(queue_151,seq,earray_154),
    inference(definition_unfolding,[],[f212,f303]) ).

fof(f423,plain,
    queue_161 = store(queue_157,seq,earray_160),
    inference(definition_unfolding,[],[f214,f304]) ).

fof(f424,plain,
    queue_167 = store(queue_163,seq,earray_166),
    inference(definition_unfolding,[],[f216,f305]) ).

fof(f425,plain,
    queue_17 = store(queue_13,seq,earray_16),
    inference(definition_unfolding,[],[f218,f280]) ).

fof(f426,plain,
    queue_173 = store(queue_169,seq,earray_172),
    inference(definition_unfolding,[],[f219,f306]) ).

fof(f427,plain,
    queue_179 = store(queue_175,seq,earray_178),
    inference(definition_unfolding,[],[f221,f307]) ).

fof(f428,plain,
    queue_185 = store(queue_181,seq,earray_184),
    inference(definition_unfolding,[],[f223,f308]) ).

fof(f429,plain,
    queue_191 = store(queue_187,seq,earray_190),
    inference(definition_unfolding,[],[f226,f309]) ).

fof(f430,plain,
    queue_197 = store(queue_193,seq,earray_196),
    inference(definition_unfolding,[],[f228,f310]) ).

fof(f431,plain,
    queue_203 = store(queue_139,seq,earray_202),
    inference(definition_unfolding,[],[f230,f301]) ).

fof(f432,plain,
    queue_209 = store(queue_199,seq,earray_208),
    inference(definition_unfolding,[],[f232,f311]) ).

fof(f433,plain,
    queue_215 = store(queue_211,seq,earray_214),
    inference(definition_unfolding,[],[f234,f313]) ).

fof(f434,plain,
    queue_221 = store(queue_217,seq,earray_220),
    inference(definition_unfolding,[],[f236,f314]) ).

fof(f435,plain,
    queue_227 = store(queue_223,seq,earray_226),
    inference(definition_unfolding,[],[f238,f315]) ).

fof(f436,plain,
    queue_23 = store(queue_19,seq,earray_22),
    inference(definition_unfolding,[],[f240,f281]) ).

fof(f437,plain,
    queue_233 = store(queue_205,seq,earray_232),
    inference(definition_unfolding,[],[f241,f312]) ).

fof(f438,plain,
    queue_239 = store(queue_235,seq,earray_238),
    inference(definition_unfolding,[],[f243,f317]) ).

fof(f439,plain,
    queue_245 = store(queue_241,seq,earray_244),
    inference(definition_unfolding,[],[f245,f318]) ).

fof(f440,plain,
    queue_251 = store(queue_247,seq,earray_250),
    inference(definition_unfolding,[],[f248,f319]) ).

fof(f441,plain,
    queue_257 = store(queue_253,seq,earray_256),
    inference(definition_unfolding,[],[f250,f320]) ).

fof(f442,plain,
    queue_29 = store(queue_25,seq,earray_28),
    inference(definition_unfolding,[],[f252,f282]) ).

fof(f443,plain,
    queue_35 = store(queue_31,seq,earray_34),
    inference(definition_unfolding,[],[f254,f283]) ).

fof(f444,plain,
    queue_41 = store(queue_37,seq,earray_40),
    inference(definition_unfolding,[],[f256,f284]) ).

fof(f445,plain,
    queue_47 = store(queue_43,seq,earray_46),
    inference(definition_unfolding,[],[f258,f285]) ).

fof(f446,plain,
    queue_5 = store(queue_1,seq,earray_4),
    inference(definition_unfolding,[],[f260,f278]) ).

fof(f447,plain,
    queue_53 = store(queue_49,seq,earray_52),
    inference(definition_unfolding,[],[f261,f286]) ).

fof(f448,plain,
    queue_59 = store(queue_55,seq,earray_58),
    inference(definition_unfolding,[],[f263,f287]) ).

fof(f449,plain,
    queue_65 = store(queue_61,seq,earray_64),
    inference(definition_unfolding,[],[f265,f288]) ).

fof(f450,plain,
    queue_71 = store(queue_7,seq,earray_70),
    inference(definition_unfolding,[],[f268,f279]) ).

fof(f451,plain,
    queue_77 = store(queue_67,seq,earray_76),
    inference(definition_unfolding,[],[f270,f289]) ).

fof(f452,plain,
    queue_83 = store(queue_79,seq,earray_82),
    inference(definition_unfolding,[],[f272,f291]) ).

fof(f453,plain,
    queue_89 = store(queue_85,seq,earray_88),
    inference(definition_unfolding,[],[f274,f292]) ).

fof(f454,plain,
    queue_95 = store(queue_91,seq,earray_94),
    inference(definition_unfolding,[],[f276,f293]) ).

tcf(c_370,plain,
    ! [X0: $i,X1: $i,X2: $i] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_371,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( select(store(X0,X1,X2),X3) = select(X0,X3) ) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_372,plain,
    head != tail,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_373,plain,
    head != seq,
    inference(cnf_transformation,[],[f4]) ).

tcf(c_375,plain,
    ! [X0: $i] : p(s(X0)) = X0,
    inference(cnf_transformation,[],[f6]) ).

tcf(c_379,plain,
    ! [X0: $i] : s(s(s(X0))) = X0,
    inference(cnf_transformation,[],[f10]) ).

tcf(c_467,plain,
    select(earray_260,index_261) = elem_262,
    inference(cnf_transformation,[],[f98]) ).

tcf(c_468,plain,
    select(earray_260,index_264) = elem_265,
    inference(cnf_transformation,[],[f99]) ).

tcf(c_469,plain,
    select(q,tail) = index_0,
    inference(cnf_transformation,[],[f100]) ).

tcf(c_470,plain,
    s(index_99) = index_102,
    inference(cnf_transformation,[],[f101]) ).

tcf(c_471,plain,
    select(queue_103,tail) = index_105,
    inference(cnf_transformation,[],[f367]) ).

tcf(c_472,plain,
    s(index_105) = index_108,
    inference(cnf_transformation,[],[f103]) ).

tcf(c_473,plain,
    select(queue_109,tail) = index_111,
    inference(cnf_transformation,[],[f368]) ).

tcf(c_474,plain,
    s(index_111) = index_114,
    inference(cnf_transformation,[],[f105]) ).

tcf(c_475,plain,
    select(queue_115,tail) = index_117,
    inference(cnf_transformation,[],[f369]) ).

tcf(c_476,plain,
    s(index_9) = index_12,
    inference(cnf_transformation,[],[f107]) ).

tcf(c_477,plain,
    s(index_117) = index_120,
    inference(cnf_transformation,[],[f108]) ).

tcf(c_478,plain,
    select(queue_121,tail) = index_123,
    inference(cnf_transformation,[],[f370]) ).

tcf(c_479,plain,
    s(index_123) = index_126,
    inference(cnf_transformation,[],[f110]) ).

tcf(c_480,plain,
    select(queue_127,tail) = index_129,
    inference(cnf_transformation,[],[f371]) ).

tcf(c_481,plain,
    s(index_129) = index_132,
    inference(cnf_transformation,[],[f112]) ).

tcf(c_482,plain,
    select(queue_73,tail) = index_135,
    inference(cnf_transformation,[],[f372]) ).

tcf(c_483,plain,
    s(index_135) = index_138,
    inference(cnf_transformation,[],[f114]) ).

tcf(c_484,plain,
    select(queue_133,tail) = index_141,
    inference(cnf_transformation,[],[f373]) ).

tcf(c_485,plain,
    s(index_141) = index_144,
    inference(cnf_transformation,[],[f116]) ).

tcf(c_486,plain,
    select(queue_145,tail) = index_147,
    inference(cnf_transformation,[],[f374]) ).

tcf(c_487,plain,
    select(queue_13,tail) = index_15,
    inference(cnf_transformation,[],[f375]) ).

tcf(c_488,plain,
    s(index_147) = index_150,
    inference(cnf_transformation,[],[f119]) ).

tcf(c_489,plain,
    select(queue_151,tail) = index_153,
    inference(cnf_transformation,[],[f376]) ).

tcf(c_490,plain,
    s(index_153) = index_156,
    inference(cnf_transformation,[],[f121]) ).

tcf(c_491,plain,
    select(queue_157,tail) = index_159,
    inference(cnf_transformation,[],[f377]) ).

tcf(c_492,plain,
    s(index_159) = index_162,
    inference(cnf_transformation,[],[f123]) ).

tcf(c_493,plain,
    select(queue_163,tail) = index_165,
    inference(cnf_transformation,[],[f378]) ).

tcf(c_494,plain,
    s(index_165) = index_168,
    inference(cnf_transformation,[],[f125]) ).

tcf(c_495,plain,
    select(queue_169,tail) = index_171,
    inference(cnf_transformation,[],[f379]) ).

tcf(c_496,plain,
    s(index_171) = index_174,
    inference(cnf_transformation,[],[f127]) ).

tcf(c_497,plain,
    select(queue_175,tail) = index_177,
    inference(cnf_transformation,[],[f380]) ).

tcf(c_498,plain,
    s(index_15) = index_18,
    inference(cnf_transformation,[],[f129]) ).

tcf(c_499,plain,
    s(index_177) = index_180,
    inference(cnf_transformation,[],[f130]) ).

tcf(c_500,plain,
    select(queue_181,tail) = index_183,
    inference(cnf_transformation,[],[f381]) ).

tcf(c_501,plain,
    s(index_183) = index_186,
    inference(cnf_transformation,[],[f132]) ).

tcf(c_502,plain,
    select(queue_187,tail) = index_189,
    inference(cnf_transformation,[],[f382]) ).

tcf(c_503,plain,
    s(index_189) = index_192,
    inference(cnf_transformation,[],[f134]) ).

tcf(c_504,plain,
    select(queue_193,tail) = index_195,
    inference(cnf_transformation,[],[f383]) ).

tcf(c_505,plain,
    s(index_195) = index_198,
    inference(cnf_transformation,[],[f136]) ).

tcf(c_506,plain,
    select(queue_139,tail) = index_201,
    inference(cnf_transformation,[],[f384]) ).

tcf(c_507,plain,
    s(index_201) = index_204,
    inference(cnf_transformation,[],[f138]) ).

tcf(c_508,plain,
    select(queue_199,tail) = index_207,
    inference(cnf_transformation,[],[f385]) ).

tcf(c_509,plain,
    select(queue_19,tail) = index_21,
    inference(cnf_transformation,[],[f386]) ).

tcf(c_510,plain,
    s(index_207) = index_210,
    inference(cnf_transformation,[],[f141]) ).

tcf(c_511,plain,
    select(queue_211,tail) = index_213,
    inference(cnf_transformation,[],[f387]) ).

tcf(c_512,plain,
    s(index_213) = index_216,
    inference(cnf_transformation,[],[f143]) ).

tcf(c_513,plain,
    select(queue_217,tail) = index_219,
    inference(cnf_transformation,[],[f388]) ).

tcf(c_514,plain,
    s(index_219) = index_222,
    inference(cnf_transformation,[],[f145]) ).

tcf(c_515,plain,
    select(queue_223,tail) = index_225,
    inference(cnf_transformation,[],[f389]) ).

tcf(c_516,plain,
    s(index_225) = index_228,
    inference(cnf_transformation,[],[f147]) ).

tcf(c_517,plain,
    select(queue_205,tail) = index_231,
    inference(cnf_transformation,[],[f390]) ).

tcf(c_518,plain,
    s(index_231) = index_234,
    inference(cnf_transformation,[],[f149]) ).

tcf(c_519,plain,
    select(queue_235,tail) = index_237,
    inference(cnf_transformation,[],[f391]) ).

tcf(c_520,plain,
    s(index_21) = index_24,
    inference(cnf_transformation,[],[f151]) ).

tcf(c_521,plain,
    s(index_237) = index_240,
    inference(cnf_transformation,[],[f152]) ).

tcf(c_522,plain,
    select(queue_241,tail) = index_243,
    inference(cnf_transformation,[],[f392]) ).

tcf(c_523,plain,
    s(index_243) = index_246,
    inference(cnf_transformation,[],[f154]) ).

tcf(c_524,plain,
    select(queue_247,tail) = index_249,
    inference(cnf_transformation,[],[f393]) ).

tcf(c_525,plain,
    s(index_249) = index_252,
    inference(cnf_transformation,[],[f156]) ).

tcf(c_526,plain,
    select(queue_253,tail) = index_255,
    inference(cnf_transformation,[],[f394]) ).

tcf(c_527,plain,
    s(index_255) = index_258,
    inference(cnf_transformation,[],[f158]) ).

tcf(c_528,plain,
    select(queue_229,head) = index_261,
    inference(cnf_transformation,[],[f395]) ).

tcf(c_529,plain,
    select(queue_229,tail) = index_263,
    inference(cnf_transformation,[],[f396]) ).

tcf(c_530,plain,
    s(index_264) = index_263,
    inference(cnf_transformation,[],[f162]) ).

tcf(c_531,plain,
    select(queue_25,tail) = index_27,
    inference(cnf_transformation,[],[f397]) ).

tcf(c_532,plain,
    select(queue_1,tail) = index_3,
    inference(cnf_transformation,[],[f398]) ).

tcf(c_533,plain,
    s(index_27) = index_30,
    inference(cnf_transformation,[],[f165]) ).

tcf(c_534,plain,
    select(queue_31,tail) = index_33,
    inference(cnf_transformation,[],[f399]) ).

tcf(c_535,plain,
    s(index_33) = index_36,
    inference(cnf_transformation,[],[f167]) ).

tcf(c_536,plain,
    select(queue_37,tail) = index_39,
    inference(cnf_transformation,[],[f400]) ).

tcf(c_537,plain,
    s(index_39) = index_42,
    inference(cnf_transformation,[],[f169]) ).

tcf(c_538,plain,
    select(queue_43,tail) = index_45,
    inference(cnf_transformation,[],[f401]) ).

tcf(c_539,plain,
    s(index_45) = index_48,
    inference(cnf_transformation,[],[f171]) ).

tcf(c_540,plain,
    select(queue_49,tail) = index_51,
    inference(cnf_transformation,[],[f402]) ).

tcf(c_541,plain,
    s(index_51) = index_54,
    inference(cnf_transformation,[],[f173]) ).

tcf(c_542,plain,
    select(queue_55,tail) = index_57,
    inference(cnf_transformation,[],[f403]) ).

tcf(c_543,plain,
    s(index_3) = index_6,
    inference(cnf_transformation,[],[f175]) ).

tcf(c_544,plain,
    s(index_57) = index_60,
    inference(cnf_transformation,[],[f176]) ).

tcf(c_545,plain,
    select(queue_61,tail) = index_63,
    inference(cnf_transformation,[],[f404]) ).

tcf(c_546,plain,
    s(index_63) = index_66,
    inference(cnf_transformation,[],[f178]) ).

tcf(c_547,plain,
    select(queue_7,tail) = index_69,
    inference(cnf_transformation,[],[f405]) ).

tcf(c_548,plain,
    s(index_69) = index_72,
    inference(cnf_transformation,[],[f180]) ).

tcf(c_549,plain,
    select(queue_67,tail) = index_75,
    inference(cnf_transformation,[],[f406]) ).

tcf(c_550,plain,
    s(index_75) = index_78,
    inference(cnf_transformation,[],[f182]) ).

tcf(c_551,plain,
    select(queue_79,tail) = index_81,
    inference(cnf_transformation,[],[f407]) ).

tcf(c_552,plain,
    s(index_81) = index_84,
    inference(cnf_transformation,[],[f184]) ).

tcf(c_553,plain,
    select(queue_85,tail) = index_87,
    inference(cnf_transformation,[],[f408]) ).

tcf(c_554,plain,
    select(queue_259,tail) = index_9,
    inference(cnf_transformation,[],[f409]) ).

tcf(c_555,plain,
    s(index_87) = index_90,
    inference(cnf_transformation,[],[f187]) ).

tcf(c_556,plain,
    select(queue_91,tail) = index_93,
    inference(cnf_transformation,[],[f410]) ).

tcf(c_557,plain,
    s(index_93) = index_96,
    inference(cnf_transformation,[],[f189]) ).

tcf(c_558,plain,
    select(queue_97,tail) = index_99,
    inference(cnf_transformation,[],[f411]) ).

tcf(c_559,plain,
    store(q,head,index_0) = queue_1,
    inference(cnf_transformation,[],[f191]) ).

tcf(c_560,plain,
    store(queue_97,seq,earray_100) = queue_101,
    inference(cnf_transformation,[],[f412]) ).

tcf(c_561,plain,
    store(queue_101,tail,index_102) = queue_103,
    inference(cnf_transformation,[],[f193]) ).

tcf(c_562,plain,
    store(queue_103,seq,earray_106) = queue_107,
    inference(cnf_transformation,[],[f413]) ).

tcf(c_563,plain,
    store(queue_107,tail,index_108) = queue_109,
    inference(cnf_transformation,[],[f195]) ).

tcf(c_564,plain,
    store(queue_259,seq,earray_10) = queue_11,
    inference(cnf_transformation,[],[f414]) ).

tcf(c_565,plain,
    store(queue_109,seq,earray_112) = queue_113,
    inference(cnf_transformation,[],[f415]) ).

tcf(c_566,plain,
    store(queue_113,tail,index_114) = queue_115,
    inference(cnf_transformation,[],[f198]) ).

tcf(c_567,plain,
    store(queue_115,seq,earray_118) = queue_119,
    inference(cnf_transformation,[],[f416]) ).

tcf(c_568,plain,
    store(queue_119,tail,index_120) = queue_121,
    inference(cnf_transformation,[],[f200]) ).

tcf(c_569,plain,
    store(queue_121,seq,earray_124) = queue_125,
    inference(cnf_transformation,[],[f417]) ).

tcf(c_570,plain,
    store(queue_125,tail,index_126) = queue_127,
    inference(cnf_transformation,[],[f202]) ).

tcf(c_571,plain,
    store(queue_11,tail,index_12) = queue_13,
    inference(cnf_transformation,[],[f203]) ).

tcf(c_572,plain,
    store(queue_127,seq,earray_130) = queue_131,
    inference(cnf_transformation,[],[f418]) ).

tcf(c_573,plain,
    store(queue_131,tail,index_132) = queue_133,
    inference(cnf_transformation,[],[f205]) ).

tcf(c_574,plain,
    store(queue_73,seq,earray_136) = queue_137,
    inference(cnf_transformation,[],[f419]) ).

tcf(c_575,plain,
    store(queue_137,tail,index_138) = queue_139,
    inference(cnf_transformation,[],[f207]) ).

tcf(c_576,plain,
    store(queue_133,seq,earray_142) = queue_143,
    inference(cnf_transformation,[],[f420]) ).

tcf(c_577,plain,
    store(queue_143,tail,index_144) = queue_145,
    inference(cnf_transformation,[],[f209]) ).

tcf(c_578,plain,
    store(queue_145,seq,earray_148) = queue_149,
    inference(cnf_transformation,[],[f421]) ).

tcf(c_579,plain,
    store(queue_149,tail,index_150) = queue_151,
    inference(cnf_transformation,[],[f211]) ).

tcf(c_580,plain,
    store(queue_151,seq,earray_154) = queue_155,
    inference(cnf_transformation,[],[f422]) ).

tcf(c_581,plain,
    store(queue_155,tail,index_156) = queue_157,
    inference(cnf_transformation,[],[f213]) ).

tcf(c_582,plain,
    store(queue_157,seq,earray_160) = queue_161,
    inference(cnf_transformation,[],[f423]) ).

tcf(c_583,plain,
    store(queue_161,tail,index_162) = queue_163,
    inference(cnf_transformation,[],[f215]) ).

tcf(c_584,plain,
    store(queue_163,seq,earray_166) = queue_167,
    inference(cnf_transformation,[],[f424]) ).

tcf(c_585,plain,
    store(queue_167,tail,index_168) = queue_169,
    inference(cnf_transformation,[],[f217]) ).

tcf(c_586,plain,
    store(queue_13,seq,earray_16) = queue_17,
    inference(cnf_transformation,[],[f425]) ).

tcf(c_587,plain,
    store(queue_169,seq,earray_172) = queue_173,
    inference(cnf_transformation,[],[f426]) ).

tcf(c_588,plain,
    store(queue_173,tail,index_174) = queue_175,
    inference(cnf_transformation,[],[f220]) ).

tcf(c_589,plain,
    store(queue_175,seq,earray_178) = queue_179,
    inference(cnf_transformation,[],[f427]) ).

tcf(c_590,plain,
    store(queue_179,tail,index_180) = queue_181,
    inference(cnf_transformation,[],[f222]) ).

tcf(c_591,plain,
    store(queue_181,seq,earray_184) = queue_185,
    inference(cnf_transformation,[],[f428]) ).

tcf(c_592,plain,
    store(queue_185,tail,index_186) = queue_187,
    inference(cnf_transformation,[],[f224]) ).

tcf(c_593,plain,
    store(queue_17,tail,index_18) = queue_19,
    inference(cnf_transformation,[],[f225]) ).

tcf(c_594,plain,
    store(queue_187,seq,earray_190) = queue_191,
    inference(cnf_transformation,[],[f429]) ).

tcf(c_595,plain,
    store(queue_191,tail,index_192) = queue_193,
    inference(cnf_transformation,[],[f227]) ).

tcf(c_596,plain,
    store(queue_193,seq,earray_196) = queue_197,
    inference(cnf_transformation,[],[f430]) ).

tcf(c_597,plain,
    store(queue_197,tail,index_198) = queue_199,
    inference(cnf_transformation,[],[f229]) ).

tcf(c_598,plain,
    store(queue_139,seq,earray_202) = queue_203,
    inference(cnf_transformation,[],[f431]) ).

tcf(c_599,plain,
    store(queue_203,tail,index_204) = queue_205,
    inference(cnf_transformation,[],[f231]) ).

tcf(c_600,plain,
    store(queue_199,seq,earray_208) = queue_209,
    inference(cnf_transformation,[],[f432]) ).

tcf(c_601,plain,
    store(queue_209,tail,index_210) = queue_211,
    inference(cnf_transformation,[],[f233]) ).

tcf(c_602,plain,
    store(queue_211,seq,earray_214) = queue_215,
    inference(cnf_transformation,[],[f433]) ).

tcf(c_603,plain,
    store(queue_215,tail,index_216) = queue_217,
    inference(cnf_transformation,[],[f235]) ).

tcf(c_604,plain,
    store(queue_217,seq,earray_220) = queue_221,
    inference(cnf_transformation,[],[f434]) ).

tcf(c_605,plain,
    store(queue_221,tail,index_222) = queue_223,
    inference(cnf_transformation,[],[f237]) ).

tcf(c_606,plain,
    store(queue_223,seq,earray_226) = queue_227,
    inference(cnf_transformation,[],[f435]) ).

tcf(c_607,plain,
    store(queue_227,tail,index_228) = queue_229,
    inference(cnf_transformation,[],[f239]) ).

tcf(c_608,plain,
    store(queue_19,seq,earray_22) = queue_23,
    inference(cnf_transformation,[],[f436]) ).

tcf(c_609,plain,
    store(queue_205,seq,earray_232) = queue_233,
    inference(cnf_transformation,[],[f437]) ).

tcf(c_610,plain,
    store(queue_233,tail,index_234) = queue_235,
    inference(cnf_transformation,[],[f242]) ).

tcf(c_611,plain,
    store(queue_235,seq,earray_238) = queue_239,
    inference(cnf_transformation,[],[f438]) ).

tcf(c_612,plain,
    store(queue_239,tail,index_240) = queue_241,
    inference(cnf_transformation,[],[f244]) ).

tcf(c_613,plain,
    store(queue_241,seq,earray_244) = queue_245,
    inference(cnf_transformation,[],[f439]) ).

tcf(c_614,plain,
    store(queue_245,tail,index_246) = queue_247,
    inference(cnf_transformation,[],[f246]) ).

tcf(c_615,plain,
    store(queue_23,tail,index_24) = queue_25,
    inference(cnf_transformation,[],[f247]) ).

tcf(c_616,plain,
    store(queue_247,seq,earray_250) = queue_251,
    inference(cnf_transformation,[],[f440]) ).

tcf(c_617,plain,
    store(queue_251,tail,index_252) = queue_253,
    inference(cnf_transformation,[],[f249]) ).

tcf(c_618,plain,
    store(queue_253,seq,earray_256) = queue_257,
    inference(cnf_transformation,[],[f441]) ).

tcf(c_619,plain,
    store(queue_257,tail,index_258) = queue_259,
    inference(cnf_transformation,[],[f251]) ).

tcf(c_620,plain,
    store(queue_25,seq,earray_28) = queue_29,
    inference(cnf_transformation,[],[f442]) ).

tcf(c_621,plain,
    store(queue_29,tail,index_30) = queue_31,
    inference(cnf_transformation,[],[f253]) ).

tcf(c_622,plain,
    store(queue_31,seq,earray_34) = queue_35,
    inference(cnf_transformation,[],[f443]) ).

tcf(c_623,plain,
    store(queue_35,tail,index_36) = queue_37,
    inference(cnf_transformation,[],[f255]) ).

tcf(c_624,plain,
    store(queue_37,seq,earray_40) = queue_41,
    inference(cnf_transformation,[],[f444]) ).

tcf(c_625,plain,
    store(queue_41,tail,index_42) = queue_43,
    inference(cnf_transformation,[],[f257]) ).

tcf(c_626,plain,
    store(queue_43,seq,earray_46) = queue_47,
    inference(cnf_transformation,[],[f445]) ).

tcf(c_627,plain,
    store(queue_47,tail,index_48) = queue_49,
    inference(cnf_transformation,[],[f259]) ).

tcf(c_628,plain,
    store(queue_1,seq,earray_4) = queue_5,
    inference(cnf_transformation,[],[f446]) ).

tcf(c_629,plain,
    store(queue_49,seq,earray_52) = queue_53,
    inference(cnf_transformation,[],[f447]) ).

tcf(c_630,plain,
    store(queue_53,tail,index_54) = queue_55,
    inference(cnf_transformation,[],[f262]) ).

tcf(c_631,plain,
    store(queue_55,seq,earray_58) = queue_59,
    inference(cnf_transformation,[],[f448]) ).

tcf(c_632,plain,
    store(queue_59,tail,index_60) = queue_61,
    inference(cnf_transformation,[],[f264]) ).

tcf(c_633,plain,
    store(queue_61,seq,earray_64) = queue_65,
    inference(cnf_transformation,[],[f449]) ).

tcf(c_634,plain,
    store(queue_65,tail,index_66) = queue_67,
    inference(cnf_transformation,[],[f266]) ).

tcf(c_635,plain,
    store(queue_5,tail,index_6) = queue_7,
    inference(cnf_transformation,[],[f267]) ).

tcf(c_636,plain,
    store(queue_7,seq,earray_70) = queue_71,
    inference(cnf_transformation,[],[f450]) ).

tcf(c_637,plain,
    store(queue_71,tail,index_72) = queue_73,
    inference(cnf_transformation,[],[f269]) ).

tcf(c_638,plain,
    store(queue_67,seq,earray_76) = queue_77,
    inference(cnf_transformation,[],[f451]) ).

tcf(c_639,plain,
    store(queue_77,tail,index_78) = queue_79,
    inference(cnf_transformation,[],[f271]) ).

tcf(c_640,plain,
    store(queue_79,seq,earray_82) = queue_83,
    inference(cnf_transformation,[],[f452]) ).

tcf(c_641,plain,
    store(queue_83,tail,index_84) = queue_85,
    inference(cnf_transformation,[],[f273]) ).

tcf(c_642,plain,
    store(queue_85,seq,earray_88) = queue_89,
    inference(cnf_transformation,[],[f453]) ).

tcf(c_643,plain,
    store(queue_89,tail,index_90) = queue_91,
    inference(cnf_transformation,[],[f275]) ).

tcf(c_644,plain,
    store(queue_91,seq,earray_94) = queue_95,
    inference(cnf_transformation,[],[f454]) ).

tcf(c_645,plain,
    store(queue_95,tail,index_96) = queue_97,
    inference(cnf_transformation,[],[f277]) ).

tcf(c_646,negated_conjecture,
    elem_262 != elem_265,
    inference(cnf_transformation,[],[f322]) ).

tcf(c_1218,negated_conjecture,
    elem_262 != elem_265,
    inference(demodulation,[status(thm)],[c_646]) ).

tcf(c_1816,plain,
    p(index_102) = index_99,
    inference(superposition,[status(thm)],[c_470,c_375]) ).

tcf(c_1817,plain,
    p(index_108) = index_105,
    inference(superposition,[status(thm)],[c_472,c_375]) ).

tcf(c_1818,plain,
    p(index_114) = index_111,
    inference(superposition,[status(thm)],[c_474,c_375]) ).

tcf(c_1819,plain,
    p(index_12) = index_9,
    inference(superposition,[status(thm)],[c_476,c_375]) ).

tcf(c_1823,plain,
    p(index_138) = index_135,
    inference(superposition,[status(thm)],[c_483,c_375]) ).

tcf(c_1830,plain,
    p(index_18) = index_15,
    inference(superposition,[status(thm)],[c_498,c_375]) ).

tcf(c_1840,plain,
    p(index_234) = index_231,
    inference(superposition,[status(thm)],[c_518,c_375]) ).

tcf(c_1841,plain,
    p(index_24) = index_21,
    inference(superposition,[status(thm)],[c_520,c_375]) ).

tcf(c_1846,plain,
    p(index_263) = index_264,
    inference(superposition,[status(thm)],[c_530,c_375]) ).

tcf(c_1852,plain,
    p(index_6) = index_3,
    inference(superposition,[status(thm)],[c_543,c_375]) ).

tcf(c_1855,plain,
    p(index_72) = index_69,
    inference(superposition,[status(thm)],[c_548,c_375]) ).

tcf(c_2137,plain,
    ! [X0: $i] : s(s(X0)) = p(X0),
    inference(superposition,[status(thm)],[c_379,c_375]) ).

tcf(c_2260,plain,
    s(index_108) = p(index_105),
    inference(superposition,[status(thm)],[c_472,c_2137]) ).

tcf(c_2273,plain,
    s(index_18) = p(index_15),
    inference(superposition,[status(thm)],[c_498,c_2137]) ).

tcf(c_2278,plain,
    s(index_204) = p(index_201),
    inference(superposition,[status(thm)],[c_507,c_2137]) ).

tcf(c_2684,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(q,X0) = select(queue_1,X0) ) ),
    inference(superposition,[status(thm)],[c_559,c_371]) ).

tcf(c_2685,plain,
    select(queue_1,head) = index_0,
    inference(superposition,[status(thm)],[c_559,c_370]) ).

tcf(c_2689,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_101,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_560,c_371]) ).

tcf(c_2694,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_101,X0) = select(queue_103,X0) ) ),
    inference(superposition,[status(thm)],[c_561,c_371]) ).

tcf(c_2695,plain,
    select(queue_103,tail) = index_102,
    inference(superposition,[status(thm)],[c_561,c_370]) ).

tcf(c_2696,plain,
    index_105 = index_102,
    inference(light_normalisation,[status(thm)],[c_2695,c_471]) ).

tcf(c_2703,plain,
    p(index_105) = index_99,
    inference(demodulation,[status(thm)],[c_1816,c_2696]) ).

tcf(c_2704,plain,
    s(index_99) = index_105,
    inference(demodulation,[status(thm)],[c_470,c_2696]) ).

tcf(c_2705,plain,
    s(index_108) = index_99,
    inference(demodulation,[status(thm)],[c_2260,c_2703]) ).

tcf(c_2709,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_103,X0) = select(queue_107,X0) ) ),
    inference(superposition,[status(thm)],[c_562,c_371]) ).

tcf(c_2754,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_107,X0) = select(queue_109,X0) ) ),
    inference(superposition,[status(thm)],[c_563,c_371]) ).

tcf(c_2755,plain,
    select(queue_109,tail) = index_108,
    inference(superposition,[status(thm)],[c_563,c_370]) ).

tcf(c_2756,plain,
    index_111 = index_108,
    inference(light_normalisation,[status(thm)],[c_2755,c_473]) ).

tcf(c_2762,plain,
    s(index_111) = index_99,
    inference(demodulation,[status(thm)],[c_2705,c_2756]) ).

tcf(c_2764,plain,
    p(index_111) = index_105,
    inference(demodulation,[status(thm)],[c_1817,c_2756]) ).

tcf(c_2765,plain,
    s(index_105) = index_111,
    inference(demodulation,[status(thm)],[c_472,c_2756]) ).

tcf(c_2768,plain,
    index_99 = index_114,
    inference(demodulation,[status(thm)],[c_474,c_2762]) ).

tcf(c_2770,plain,
    p(index_99) = index_111,
    inference(demodulation,[status(thm)],[c_1818,c_2768]) ).

tcf(c_2771,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_11,X0) = select(queue_259,X0) ) ),
    inference(superposition,[status(thm)],[c_564,c_371]) ).

tcf(c_2776,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_109,X0) = select(queue_113,X0) ) ),
    inference(superposition,[status(thm)],[c_565,c_371]) ).

tcf(c_2781,plain,
    store(queue_113,tail,index_99) = queue_115,
    inference(light_normalisation,[status(thm)],[c_566,c_2768]) ).

tcf(c_2782,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_113,X0) = select(queue_115,X0) ) ),
    inference(superposition,[status(thm)],[c_2781,c_371]) ).

tcf(c_2783,plain,
    select(queue_115,tail) = index_99,
    inference(superposition,[status(thm)],[c_2781,c_370]) ).

tcf(c_2786,plain,
    index_99 = index_117,
    inference(demodulation,[status(thm)],[c_475,c_2783]) ).

tcf(c_2794,plain,
    s(index_99) = index_120,
    inference(demodulation,[status(thm)],[c_477,c_2786]) ).

tcf(c_2795,plain,
    index_105 = index_120,
    inference(light_normalisation,[status(thm)],[c_2794,c_2704]) ).

tcf(c_2824,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_115,X0) = select(queue_119,X0) ) ),
    inference(superposition,[status(thm)],[c_567,c_371]) ).

tcf(c_2829,plain,
    store(queue_119,tail,index_105) = queue_121,
    inference(light_normalisation,[status(thm)],[c_568,c_2795]) ).

tcf(c_2830,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_119,X0) = select(queue_121,X0) ) ),
    inference(superposition,[status(thm)],[c_2829,c_371]) ).

tcf(c_2831,plain,
    select(queue_121,tail) = index_105,
    inference(superposition,[status(thm)],[c_2829,c_370]) ).

tcf(c_2834,plain,
    index_105 = index_123,
    inference(demodulation,[status(thm)],[c_478,c_2831]) ).

tcf(c_2842,plain,
    s(index_105) = index_126,
    inference(demodulation,[status(thm)],[c_479,c_2834]) ).

tcf(c_2843,plain,
    index_111 = index_126,
    inference(light_normalisation,[status(thm)],[c_2842,c_2765]) ).

tcf(c_2848,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_121,X0) = select(queue_125,X0) ) ),
    inference(superposition,[status(thm)],[c_569,c_371]) ).

tcf(c_2853,plain,
    store(queue_125,tail,index_111) = queue_127,
    inference(light_normalisation,[status(thm)],[c_570,c_2843]) ).

tcf(c_2854,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_125,X0) = select(queue_127,X0) ) ),
    inference(superposition,[status(thm)],[c_2853,c_371]) ).

tcf(c_2855,plain,
    select(queue_127,tail) = index_111,
    inference(superposition,[status(thm)],[c_2853,c_370]) ).

tcf(c_2858,plain,
    index_111 = index_129,
    inference(demodulation,[status(thm)],[c_480,c_2855]) ).

tcf(c_2866,plain,
    s(index_111) = index_132,
    inference(demodulation,[status(thm)],[c_481,c_2858]) ).

tcf(c_2867,plain,
    index_99 = index_132,
    inference(light_normalisation,[status(thm)],[c_2866,c_2762]) ).

tcf(c_2886,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_11,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_571,c_371]) ).

tcf(c_2887,plain,
    select(queue_13,tail) = index_12,
    inference(superposition,[status(thm)],[c_571,c_370]) ).

tcf(c_2888,plain,
    index_15 = index_12,
    inference(light_normalisation,[status(thm)],[c_2887,c_487]) ).

tcf(c_2895,plain,
    p(index_15) = index_9,
    inference(demodulation,[status(thm)],[c_1819,c_2888]) ).

tcf(c_2896,plain,
    s(index_9) = index_15,
    inference(demodulation,[status(thm)],[c_476,c_2888]) ).

tcf(c_2897,plain,
    s(index_18) = index_9,
    inference(demodulation,[status(thm)],[c_2273,c_2895]) ).

tcf(c_2901,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_127,X0) = select(queue_131,X0) ) ),
    inference(superposition,[status(thm)],[c_572,c_371]) ).

tcf(c_2906,plain,
    store(queue_131,tail,index_99) = queue_133,
    inference(light_normalisation,[status(thm)],[c_573,c_2867]) ).

tcf(c_2907,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_131,X0) = select(queue_133,X0) ) ),
    inference(superposition,[status(thm)],[c_2906,c_371]) ).

tcf(c_2908,plain,
    select(queue_133,tail) = index_99,
    inference(superposition,[status(thm)],[c_2906,c_370]) ).

tcf(c_2911,plain,
    index_99 = index_141,
    inference(demodulation,[status(thm)],[c_484,c_2908]) ).

tcf(c_2918,plain,
    s(index_99) = index_144,
    inference(demodulation,[status(thm)],[c_485,c_2911]) ).

tcf(c_2919,plain,
    index_105 = index_144,
    inference(light_normalisation,[status(thm)],[c_2918,c_2704]) ).

tcf(c_2921,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_137,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_574,c_371]) ).

tcf(c_2950,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_137,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_575,c_371]) ).

tcf(c_2951,plain,
    select(queue_139,tail) = index_138,
    inference(superposition,[status(thm)],[c_575,c_370]) ).

tcf(c_2952,plain,
    index_201 = index_138,
    inference(light_normalisation,[status(thm)],[c_2951,c_506]) ).

tcf(c_2959,plain,
    p(index_201) = index_135,
    inference(demodulation,[status(thm)],[c_1823,c_2952]) ).

tcf(c_2960,plain,
    s(index_135) = index_201,
    inference(demodulation,[status(thm)],[c_483,c_2952]) ).

tcf(c_2961,plain,
    s(index_204) = index_135,
    inference(demodulation,[status(thm)],[c_2278,c_2959]) ).

tcf(c_2965,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_133,X0) = select(queue_143,X0) ) ),
    inference(superposition,[status(thm)],[c_576,c_371]) ).

tcf(c_2970,plain,
    store(queue_143,tail,index_105) = queue_145,
    inference(light_normalisation,[status(thm)],[c_577,c_2919]) ).

tcf(c_2971,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_143,X0) = select(queue_145,X0) ) ),
    inference(superposition,[status(thm)],[c_2970,c_371]) ).

tcf(c_2972,plain,
    select(queue_145,tail) = index_105,
    inference(superposition,[status(thm)],[c_2970,c_370]) ).

tcf(c_2975,plain,
    index_105 = index_147,
    inference(demodulation,[status(thm)],[c_486,c_2972]) ).

tcf(c_2982,plain,
    s(index_105) = index_150,
    inference(demodulation,[status(thm)],[c_488,c_2975]) ).

tcf(c_2983,plain,
    index_111 = index_150,
    inference(light_normalisation,[status(thm)],[c_2982,c_2765]) ).

tcf(c_2985,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_145,X0) = select(queue_149,X0) ) ),
    inference(superposition,[status(thm)],[c_578,c_371]) ).

tcf(c_3014,plain,
    store(queue_149,tail,index_111) = queue_151,
    inference(light_normalisation,[status(thm)],[c_579,c_2983]) ).

tcf(c_3015,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_149,X0) = select(queue_151,X0) ) ),
    inference(superposition,[status(thm)],[c_3014,c_371]) ).

tcf(c_3016,plain,
    select(queue_151,tail) = index_111,
    inference(superposition,[status(thm)],[c_3014,c_370]) ).

tcf(c_3019,plain,
    index_111 = index_153,
    inference(demodulation,[status(thm)],[c_489,c_3016]) ).

tcf(c_3026,plain,
    s(index_111) = index_156,
    inference(demodulation,[status(thm)],[c_490,c_3019]) ).

tcf(c_3027,plain,
    index_99 = index_156,
    inference(light_normalisation,[status(thm)],[c_3026,c_2762]) ).

tcf(c_3029,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_151,X0) = select(queue_155,X0) ) ),
    inference(superposition,[status(thm)],[c_580,c_371]) ).

tcf(c_3034,plain,
    store(queue_155,tail,index_99) = queue_157,
    inference(light_normalisation,[status(thm)],[c_581,c_3027]) ).

tcf(c_3035,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_155,X0) = select(queue_157,X0) ) ),
    inference(superposition,[status(thm)],[c_3034,c_371]) ).

tcf(c_3036,plain,
    select(queue_157,tail) = index_99,
    inference(superposition,[status(thm)],[c_3034,c_370]) ).

tcf(c_3039,plain,
    index_99 = index_159,
    inference(demodulation,[status(thm)],[c_491,c_3036]) ).

tcf(c_3046,plain,
    s(index_99) = index_162,
    inference(demodulation,[status(thm)],[c_492,c_3039]) ).

tcf(c_3047,plain,
    index_105 = index_162,
    inference(light_normalisation,[status(thm)],[c_3046,c_2704]) ).

tcf(c_3049,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_157,X0) = select(queue_161,X0) ) ),
    inference(superposition,[status(thm)],[c_582,c_371]) ).

tcf(c_3075,plain,
    store(queue_161,tail,index_105) = queue_163,
    inference(light_normalisation,[status(thm)],[c_583,c_3047]) ).

tcf(c_3076,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_161,X0) = select(queue_163,X0) ) ),
    inference(superposition,[status(thm)],[c_3075,c_371]) ).

tcf(c_3077,plain,
    select(queue_163,tail) = index_105,
    inference(superposition,[status(thm)],[c_3075,c_370]) ).

tcf(c_3080,plain,
    index_105 = index_165,
    inference(demodulation,[status(thm)],[c_493,c_3077]) ).

tcf(c_3087,plain,
    s(index_105) = index_168,
    inference(demodulation,[status(thm)],[c_494,c_3080]) ).

tcf(c_3088,plain,
    index_111 = index_168,
    inference(light_normalisation,[status(thm)],[c_3087,c_2765]) ).

tcf(c_3090,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_163,X0) = select(queue_167,X0) ) ),
    inference(superposition,[status(thm)],[c_584,c_371]) ).

tcf(c_3095,plain,
    store(queue_167,tail,index_111) = queue_169,
    inference(light_normalisation,[status(thm)],[c_585,c_3088]) ).

tcf(c_3096,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_167,X0) = select(queue_169,X0) ) ),
    inference(superposition,[status(thm)],[c_3095,c_371]) ).

tcf(c_3097,plain,
    select(queue_169,tail) = index_111,
    inference(superposition,[status(thm)],[c_3095,c_370]) ).

tcf(c_3100,plain,
    index_111 = index_171,
    inference(demodulation,[status(thm)],[c_495,c_3097]) ).

tcf(c_3107,plain,
    s(index_111) = index_174,
    inference(demodulation,[status(thm)],[c_496,c_3100]) ).

tcf(c_3108,plain,
    index_99 = index_174,
    inference(light_normalisation,[status(thm)],[c_3107,c_2762]) ).

tcf(c_3110,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_13,X0) = select(queue_17,X0) ) ),
    inference(superposition,[status(thm)],[c_586,c_371]) ).

tcf(c_3127,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_169,X0) = select(queue_173,X0) ) ),
    inference(superposition,[status(thm)],[c_587,c_371]) ).

tcf(c_3132,plain,
    store(queue_173,tail,index_99) = queue_175,
    inference(light_normalisation,[status(thm)],[c_588,c_3108]) ).

tcf(c_3133,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_173,X0) = select(queue_175,X0) ) ),
    inference(superposition,[status(thm)],[c_3132,c_371]) ).

tcf(c_3134,plain,
    select(queue_175,tail) = index_99,
    inference(superposition,[status(thm)],[c_3132,c_370]) ).

tcf(c_3137,plain,
    index_99 = index_177,
    inference(demodulation,[status(thm)],[c_497,c_3134]) ).

tcf(c_3144,plain,
    s(index_99) = index_180,
    inference(demodulation,[status(thm)],[c_499,c_3137]) ).

tcf(c_3145,plain,
    index_105 = index_180,
    inference(light_normalisation,[status(thm)],[c_3144,c_2704]) ).

tcf(c_3147,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_175,X0) = select(queue_179,X0) ) ),
    inference(superposition,[status(thm)],[c_589,c_371]) ).

tcf(c_3152,plain,
    store(queue_179,tail,index_105) = queue_181,
    inference(light_normalisation,[status(thm)],[c_590,c_3145]) ).

tcf(c_3153,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_179,X0) = select(queue_181,X0) ) ),
    inference(superposition,[status(thm)],[c_3152,c_371]) ).

tcf(c_3154,plain,
    select(queue_181,tail) = index_105,
    inference(superposition,[status(thm)],[c_3152,c_370]) ).

tcf(c_3157,plain,
    index_105 = index_183,
    inference(demodulation,[status(thm)],[c_500,c_3154]) ).

tcf(c_3164,plain,
    s(index_105) = index_186,
    inference(demodulation,[status(thm)],[c_501,c_3157]) ).

tcf(c_3165,plain,
    index_111 = index_186,
    inference(light_normalisation,[status(thm)],[c_3164,c_2765]) ).

tcf(c_3180,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_181,X0) = select(queue_185,X0) ) ),
    inference(superposition,[status(thm)],[c_591,c_371]) ).

tcf(c_3185,plain,
    store(queue_185,tail,index_111) = queue_187,
    inference(light_normalisation,[status(thm)],[c_592,c_3165]) ).

tcf(c_3186,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_185,X0) = select(queue_187,X0) ) ),
    inference(superposition,[status(thm)],[c_3185,c_371]) ).

tcf(c_3187,plain,
    select(queue_187,tail) = index_111,
    inference(superposition,[status(thm)],[c_3185,c_370]) ).

tcf(c_3190,plain,
    index_111 = index_189,
    inference(demodulation,[status(thm)],[c_502,c_3187]) ).

tcf(c_3197,plain,
    s(index_111) = index_192,
    inference(demodulation,[status(thm)],[c_503,c_3190]) ).

tcf(c_3198,plain,
    index_99 = index_192,
    inference(light_normalisation,[status(thm)],[c_3197,c_2762]) ).

tcf(c_3200,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_17,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_593,c_371]) ).

tcf(c_3201,plain,
    select(queue_19,tail) = index_18,
    inference(superposition,[status(thm)],[c_593,c_370]) ).

tcf(c_3202,plain,
    index_21 = index_18,
    inference(light_normalisation,[status(thm)],[c_3201,c_509]) ).

tcf(c_3208,plain,
    s(index_21) = index_9,
    inference(demodulation,[status(thm)],[c_2897,c_3202]) ).

tcf(c_3210,plain,
    p(index_21) = index_15,
    inference(demodulation,[status(thm)],[c_1830,c_3202]) ).

tcf(c_3214,plain,
    index_9 = index_24,
    inference(demodulation,[status(thm)],[c_520,c_3208]) ).

tcf(c_3216,plain,
    p(index_9) = index_21,
    inference(demodulation,[status(thm)],[c_1841,c_3214]) ).

tcf(c_3217,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_187,X0) = select(queue_191,X0) ) ),
    inference(superposition,[status(thm)],[c_594,c_371]) ).

tcf(c_3245,plain,
    store(queue_191,tail,index_99) = queue_193,
    inference(light_normalisation,[status(thm)],[c_595,c_3198]) ).

tcf(c_3246,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_191,X0) = select(queue_193,X0) ) ),
    inference(superposition,[status(thm)],[c_3245,c_371]) ).

tcf(c_3247,plain,
    select(queue_193,tail) = index_99,
    inference(superposition,[status(thm)],[c_3245,c_370]) ).

tcf(c_3250,plain,
    index_99 = index_195,
    inference(demodulation,[status(thm)],[c_504,c_3247]) ).

tcf(c_3257,plain,
    s(index_99) = index_198,
    inference(demodulation,[status(thm)],[c_505,c_3250]) ).

tcf(c_3258,plain,
    index_105 = index_198,
    inference(light_normalisation,[status(thm)],[c_3257,c_2704]) ).

tcf(c_3260,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_193,X0) = select(queue_197,X0) ) ),
    inference(superposition,[status(thm)],[c_596,c_371]) ).

tcf(c_3265,plain,
    store(queue_197,tail,index_105) = queue_199,
    inference(light_normalisation,[status(thm)],[c_597,c_3258]) ).

tcf(c_3266,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_197,X0) = select(queue_199,X0) ) ),
    inference(superposition,[status(thm)],[c_3265,c_371]) ).

tcf(c_3267,plain,
    select(queue_199,tail) = index_105,
    inference(superposition,[status(thm)],[c_3265,c_370]) ).

tcf(c_3270,plain,
    index_105 = index_207,
    inference(demodulation,[status(thm)],[c_508,c_3267]) ).

tcf(c_3277,plain,
    s(index_105) = index_210,
    inference(demodulation,[status(thm)],[c_510,c_3270]) ).

tcf(c_3278,plain,
    index_111 = index_210,
    inference(light_normalisation,[status(thm)],[c_3277,c_2765]) ).

tcf(c_3280,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_139,X0) = select(queue_203,X0) ) ),
    inference(superposition,[status(thm)],[c_598,c_371]) ).

tcf(c_3302,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_203,X0) = select(queue_205,X0) ) ),
    inference(superposition,[status(thm)],[c_599,c_371]) ).

tcf(c_3303,plain,
    select(queue_205,tail) = index_204,
    inference(superposition,[status(thm)],[c_599,c_370]) ).

tcf(c_3304,plain,
    index_231 = index_204,
    inference(light_normalisation,[status(thm)],[c_3303,c_517]) ).

tcf(c_3310,plain,
    s(index_231) = index_135,
    inference(demodulation,[status(thm)],[c_2961,c_3304]) ).

tcf(c_3313,plain,
    s(index_201) = index_231,
    inference(demodulation,[status(thm)],[c_507,c_3304]) ).

tcf(c_3316,plain,
    index_135 = index_234,
    inference(demodulation,[status(thm)],[c_518,c_3310]) ).

tcf(c_3318,plain,
    p(index_135) = index_231,
    inference(demodulation,[status(thm)],[c_1840,c_3316]) ).

tcf(c_3319,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_199,X0) = select(queue_209,X0) ) ),
    inference(superposition,[status(thm)],[c_600,c_371]) ).

tcf(c_3324,plain,
    store(queue_209,tail,index_111) = queue_211,
    inference(light_normalisation,[status(thm)],[c_601,c_3278]) ).

tcf(c_3325,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_209,X0) = select(queue_211,X0) ) ),
    inference(superposition,[status(thm)],[c_3324,c_371]) ).

tcf(c_3326,plain,
    select(queue_211,tail) = index_111,
    inference(superposition,[status(thm)],[c_3324,c_370]) ).

tcf(c_3329,plain,
    index_111 = index_213,
    inference(demodulation,[status(thm)],[c_511,c_3326]) ).

tcf(c_3336,plain,
    s(index_111) = index_216,
    inference(demodulation,[status(thm)],[c_512,c_3329]) ).

tcf(c_3337,plain,
    index_99 = index_216,
    inference(light_normalisation,[status(thm)],[c_3336,c_2762]) ).

tcf(c_3339,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_211,X0) = select(queue_215,X0) ) ),
    inference(superposition,[status(thm)],[c_602,c_371]) ).

tcf(c_3369,plain,
    store(queue_215,tail,index_99) = queue_217,
    inference(light_normalisation,[status(thm)],[c_603,c_3337]) ).

tcf(c_3370,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_215,X0) = select(queue_217,X0) ) ),
    inference(superposition,[status(thm)],[c_3369,c_371]) ).

tcf(c_3371,plain,
    select(queue_217,tail) = index_99,
    inference(superposition,[status(thm)],[c_3369,c_370]) ).

tcf(c_3374,plain,
    index_99 = index_219,
    inference(demodulation,[status(thm)],[c_513,c_3371]) ).

tcf(c_3381,plain,
    s(index_99) = index_222,
    inference(demodulation,[status(thm)],[c_514,c_3374]) ).

tcf(c_3382,plain,
    index_105 = index_222,
    inference(light_normalisation,[status(thm)],[c_3381,c_2704]) ).

tcf(c_3384,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_217,X0) = select(queue_221,X0) ) ),
    inference(superposition,[status(thm)],[c_604,c_371]) ).

tcf(c_3389,plain,
    store(queue_221,tail,index_105) = queue_223,
    inference(light_normalisation,[status(thm)],[c_605,c_3382]) ).

tcf(c_3390,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_221,X0) = select(queue_223,X0) ) ),
    inference(superposition,[status(thm)],[c_3389,c_371]) ).

tcf(c_3391,plain,
    select(queue_223,tail) = index_105,
    inference(superposition,[status(thm)],[c_3389,c_370]) ).

tcf(c_3394,plain,
    index_105 = index_225,
    inference(demodulation,[status(thm)],[c_515,c_3391]) ).

tcf(c_3401,plain,
    s(index_105) = index_228,
    inference(demodulation,[status(thm)],[c_516,c_3394]) ).

tcf(c_3402,plain,
    index_111 = index_228,
    inference(light_normalisation,[status(thm)],[c_3401,c_2765]) ).

tcf(c_3404,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_223,X0) = select(queue_227,X0) ) ),
    inference(superposition,[status(thm)],[c_606,c_371]) ).

tcf(c_3424,plain,
    store(queue_227,tail,index_111) = queue_229,
    inference(light_normalisation,[status(thm)],[c_607,c_3402]) ).

tcf(c_3425,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_227,X0) = select(queue_229,X0) ) ),
    inference(superposition,[status(thm)],[c_3424,c_371]) ).

tcf(c_3426,plain,
    select(queue_229,tail) = index_111,
    inference(superposition,[status(thm)],[c_3424,c_370]) ).

tcf(c_3429,plain,
    index_111 = index_263,
    inference(demodulation,[status(thm)],[c_529,c_3426]) ).

tcf(c_3433,plain,
    p(index_111) = index_264,
    inference(demodulation,[status(thm)],[c_1846,c_3429]) ).

tcf(c_3435,plain,
    index_105 = index_264,
    inference(light_normalisation,[status(thm)],[c_3433,c_2764]) ).

tcf(c_3436,plain,
    select(earray_260,index_105) = elem_265,
    inference(demodulation,[status(thm)],[c_468,c_3435]) ).

tcf(c_3439,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_19,X0) = select(queue_23,X0) ) ),
    inference(superposition,[status(thm)],[c_608,c_371]) ).

tcf(c_3444,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_205,X0) = select(queue_233,X0) ) ),
    inference(superposition,[status(thm)],[c_609,c_371]) ).

tcf(c_3449,plain,
    store(queue_233,tail,index_135) = queue_235,
    inference(light_normalisation,[status(thm)],[c_610,c_3316]) ).

tcf(c_3450,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_233,X0) = select(queue_235,X0) ) ),
    inference(superposition,[status(thm)],[c_3449,c_371]) ).

tcf(c_3451,plain,
    select(queue_235,tail) = index_135,
    inference(superposition,[status(thm)],[c_3449,c_370]) ).

tcf(c_3454,plain,
    index_135 = index_237,
    inference(demodulation,[status(thm)],[c_519,c_3451]) ).

tcf(c_3461,plain,
    s(index_135) = index_240,
    inference(demodulation,[status(thm)],[c_521,c_3454]) ).

tcf(c_3462,plain,
    index_201 = index_240,
    inference(light_normalisation,[status(thm)],[c_3461,c_2960]) ).

tcf(c_3471,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_235,X0) = select(queue_239,X0) ) ),
    inference(superposition,[status(thm)],[c_611,c_371]) ).

tcf(c_3476,plain,
    store(queue_239,tail,index_201) = queue_241,
    inference(light_normalisation,[status(thm)],[c_612,c_3462]) ).

tcf(c_3477,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_239,X0) = select(queue_241,X0) ) ),
    inference(superposition,[status(thm)],[c_3476,c_371]) ).

tcf(c_3478,plain,
    select(queue_241,tail) = index_201,
    inference(superposition,[status(thm)],[c_3476,c_370]) ).

tcf(c_3481,plain,
    index_201 = index_243,
    inference(demodulation,[status(thm)],[c_522,c_3478]) ).

tcf(c_3488,plain,
    s(index_201) = index_246,
    inference(demodulation,[status(thm)],[c_523,c_3481]) ).

tcf(c_3489,plain,
    index_231 = index_246,
    inference(light_normalisation,[status(thm)],[c_3488,c_3313]) ).

tcf(c_3491,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_241,X0) = select(queue_245,X0) ) ),
    inference(superposition,[status(thm)],[c_613,c_371]) ).

tcf(c_3496,plain,
    store(queue_245,tail,index_231) = queue_247,
    inference(light_normalisation,[status(thm)],[c_614,c_3489]) ).

tcf(c_3497,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_245,X0) = select(queue_247,X0) ) ),
    inference(superposition,[status(thm)],[c_3496,c_371]) ).

tcf(c_3498,plain,
    select(queue_247,tail) = index_231,
    inference(superposition,[status(thm)],[c_3496,c_370]) ).

tcf(c_3501,plain,
    index_231 = index_249,
    inference(demodulation,[status(thm)],[c_524,c_3498]) ).

tcf(c_3507,plain,
    s(index_231) = index_252,
    inference(demodulation,[status(thm)],[c_525,c_3501]) ).

tcf(c_3508,plain,
    index_135 = index_252,
    inference(light_normalisation,[status(thm)],[c_3507,c_3310]) ).

tcf(c_3524,plain,
    store(queue_23,tail,index_9) = queue_25,
    inference(light_normalisation,[status(thm)],[c_615,c_3214]) ).

tcf(c_3525,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_23,X0) = select(queue_25,X0) ) ),
    inference(superposition,[status(thm)],[c_3524,c_371]) ).

tcf(c_3526,plain,
    select(queue_25,tail) = index_9,
    inference(superposition,[status(thm)],[c_3524,c_370]) ).

tcf(c_3529,plain,
    index_9 = index_27,
    inference(demodulation,[status(thm)],[c_531,c_3526]) ).

tcf(c_3535,plain,
    s(index_9) = index_30,
    inference(demodulation,[status(thm)],[c_533,c_3529]) ).

tcf(c_3536,plain,
    index_15 = index_30,
    inference(light_normalisation,[status(thm)],[c_3535,c_2896]) ).

tcf(c_3538,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_247,X0) = select(queue_251,X0) ) ),
    inference(superposition,[status(thm)],[c_616,c_371]) ).

tcf(c_3543,plain,
    store(queue_251,tail,index_135) = queue_253,
    inference(light_normalisation,[status(thm)],[c_617,c_3508]) ).

tcf(c_3544,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_251,X0) = select(queue_253,X0) ) ),
    inference(superposition,[status(thm)],[c_3543,c_371]) ).

tcf(c_3545,plain,
    select(queue_253,tail) = index_135,
    inference(superposition,[status(thm)],[c_3543,c_370]) ).

tcf(c_3548,plain,
    index_135 = index_255,
    inference(demodulation,[status(thm)],[c_526,c_3545]) ).

tcf(c_3555,plain,
    s(index_135) = index_258,
    inference(demodulation,[status(thm)],[c_527,c_3548]) ).

tcf(c_3556,plain,
    index_201 = index_258,
    inference(light_normalisation,[status(thm)],[c_3555,c_2960]) ).

tcf(c_3558,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_253,X0) = select(queue_257,X0) ) ),
    inference(superposition,[status(thm)],[c_618,c_371]) ).

tcf(c_3577,plain,
    store(queue_257,tail,index_201) = queue_259,
    inference(light_normalisation,[status(thm)],[c_619,c_3556]) ).

tcf(c_3578,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_257,X0) = select(queue_259,X0) ) ),
    inference(superposition,[status(thm)],[c_3577,c_371]) ).

tcf(c_3579,plain,
    select(queue_259,tail) = index_201,
    inference(superposition,[status(thm)],[c_3577,c_370]) ).

tcf(c_3580,plain,
    index_9 = index_201,
    inference(light_normalisation,[status(thm)],[c_3579,c_554]) ).

tcf(c_3593,plain,
    p(index_9) = index_135,
    inference(demodulation,[status(thm)],[c_2959,c_3580]) ).

tcf(c_3598,plain,
    index_135 = index_21,
    inference(demodulation,[status(thm)],[c_3216,c_3593]) ).

tcf(c_3602,plain,
    p(index_135) = index_15,
    inference(demodulation,[status(thm)],[c_3210,c_3598]) ).

tcf(c_3603,plain,
    s(index_135) = index_9,
    inference(demodulation,[status(thm)],[c_3208,c_3598]) ).

tcf(c_3608,plain,
    index_15 = index_231,
    inference(demodulation,[status(thm)],[c_3318,c_3602]) ).

tcf(c_3614,plain,
    s(index_15) = index_135,
    inference(demodulation,[status(thm)],[c_3310,c_3608]) ).

tcf(c_3620,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_25,X0) = select(queue_29,X0) ) ),
    inference(superposition,[status(thm)],[c_620,c_371]) ).

tcf(c_3625,plain,
    store(queue_29,tail,index_15) = queue_31,
    inference(light_normalisation,[status(thm)],[c_621,c_3536]) ).

tcf(c_3626,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_29,X0) = select(queue_31,X0) ) ),
    inference(superposition,[status(thm)],[c_3625,c_371]) ).

tcf(c_3627,plain,
    select(queue_31,tail) = index_15,
    inference(superposition,[status(thm)],[c_3625,c_370]) ).

tcf(c_3630,plain,
    index_15 = index_33,
    inference(demodulation,[status(thm)],[c_534,c_3627]) ).

tcf(c_3637,plain,
    s(index_15) = index_36,
    inference(demodulation,[status(thm)],[c_535,c_3630]) ).

tcf(c_3638,plain,
    index_135 = index_36,
    inference(light_normalisation,[status(thm)],[c_3637,c_3614]) ).

tcf(c_3640,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_31,X0) = select(queue_35,X0) ) ),
    inference(superposition,[status(thm)],[c_622,c_371]) ).

tcf(c_3652,plain,
    store(queue_35,tail,index_135) = queue_37,
    inference(light_normalisation,[status(thm)],[c_623,c_3638]) ).

tcf(c_3653,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_35,X0) = select(queue_37,X0) ) ),
    inference(superposition,[status(thm)],[c_3652,c_371]) ).

tcf(c_3654,plain,
    select(queue_37,tail) = index_135,
    inference(superposition,[status(thm)],[c_3652,c_370]) ).

tcf(c_3657,plain,
    index_135 = index_39,
    inference(demodulation,[status(thm)],[c_536,c_3654]) ).

tcf(c_3663,plain,
    s(index_135) = index_42,
    inference(demodulation,[status(thm)],[c_537,c_3657]) ).

tcf(c_3664,plain,
    index_9 = index_42,
    inference(light_normalisation,[status(thm)],[c_3663,c_3603]) ).

tcf(c_3666,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_37,X0) = select(queue_41,X0) ) ),
    inference(superposition,[status(thm)],[c_624,c_371]) ).

tcf(c_3671,plain,
    store(queue_41,tail,index_9) = queue_43,
    inference(light_normalisation,[status(thm)],[c_625,c_3664]) ).

tcf(c_3672,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_41,X0) = select(queue_43,X0) ) ),
    inference(superposition,[status(thm)],[c_3671,c_371]) ).

tcf(c_3673,plain,
    select(queue_43,tail) = index_9,
    inference(superposition,[status(thm)],[c_3671,c_370]) ).

tcf(c_3676,plain,
    index_9 = index_45,
    inference(demodulation,[status(thm)],[c_538,c_3673]) ).

tcf(c_3682,plain,
    s(index_9) = index_48,
    inference(demodulation,[status(thm)],[c_539,c_3676]) ).

tcf(c_3683,plain,
    index_15 = index_48,
    inference(light_normalisation,[status(thm)],[c_3682,c_2896]) ).

tcf(c_3685,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_43,X0) = select(queue_47,X0) ) ),
    inference(superposition,[status(thm)],[c_626,c_371]) ).

tcf(c_3711,plain,
    store(queue_47,tail,index_15) = queue_49,
    inference(light_normalisation,[status(thm)],[c_627,c_3683]) ).

tcf(c_3712,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_47,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_3711,c_371]) ).

tcf(c_3713,plain,
    select(queue_49,tail) = index_15,
    inference(superposition,[status(thm)],[c_3711,c_370]) ).

tcf(c_3716,plain,
    index_15 = index_51,
    inference(demodulation,[status(thm)],[c_540,c_3713]) ).

tcf(c_3722,plain,
    s(index_15) = index_54,
    inference(demodulation,[status(thm)],[c_541,c_3716]) ).

tcf(c_3723,plain,
    index_135 = index_54,
    inference(light_normalisation,[status(thm)],[c_3722,c_3614]) ).

tcf(c_3725,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_1,X0) = select(queue_5,X0) ) ),
    inference(superposition,[status(thm)],[c_628,c_371]) ).

tcf(c_3730,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_49,X0) = select(queue_53,X0) ) ),
    inference(superposition,[status(thm)],[c_629,c_371]) ).

tcf(c_3735,plain,
    store(queue_53,tail,index_135) = queue_55,
    inference(light_normalisation,[status(thm)],[c_630,c_3723]) ).

tcf(c_3736,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_53,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_3735,c_371]) ).

tcf(c_3737,plain,
    select(queue_55,tail) = index_135,
    inference(superposition,[status(thm)],[c_3735,c_370]) ).

tcf(c_3740,plain,
    index_135 = index_57,
    inference(demodulation,[status(thm)],[c_542,c_3737]) ).

tcf(c_3746,plain,
    s(index_135) = index_60,
    inference(demodulation,[status(thm)],[c_544,c_3740]) ).

tcf(c_3747,plain,
    index_9 = index_60,
    inference(light_normalisation,[status(thm)],[c_3746,c_3603]) ).

tcf(c_3767,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_55,X0) = select(queue_59,X0) ) ),
    inference(superposition,[status(thm)],[c_631,c_371]) ).

tcf(c_3772,plain,
    store(queue_59,tail,index_9) = queue_61,
    inference(light_normalisation,[status(thm)],[c_632,c_3747]) ).

tcf(c_3773,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_59,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_3772,c_371]) ).

tcf(c_3774,plain,
    select(queue_61,tail) = index_9,
    inference(superposition,[status(thm)],[c_3772,c_370]) ).

tcf(c_3777,plain,
    index_9 = index_63,
    inference(demodulation,[status(thm)],[c_545,c_3774]) ).

tcf(c_3783,plain,
    s(index_9) = index_66,
    inference(demodulation,[status(thm)],[c_546,c_3777]) ).

tcf(c_3784,plain,
    index_15 = index_66,
    inference(light_normalisation,[status(thm)],[c_3783,c_2896]) ).

tcf(c_3786,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_61,X0) = select(queue_65,X0) ) ),
    inference(superposition,[status(thm)],[c_633,c_371]) ).

tcf(c_3791,plain,
    store(queue_65,tail,index_15) = queue_67,
    inference(light_normalisation,[status(thm)],[c_634,c_3784]) ).

tcf(c_3792,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_65,X0) = select(queue_67,X0) ) ),
    inference(superposition,[status(thm)],[c_3791,c_371]) ).

tcf(c_3793,plain,
    select(queue_67,tail) = index_15,
    inference(superposition,[status(thm)],[c_3791,c_370]) ).

tcf(c_3796,plain,
    index_15 = index_75,
    inference(demodulation,[status(thm)],[c_549,c_3793]) ).

tcf(c_3802,plain,
    s(index_15) = index_78,
    inference(demodulation,[status(thm)],[c_550,c_3796]) ).

tcf(c_3803,plain,
    index_135 = index_78,
    inference(light_normalisation,[status(thm)],[c_3802,c_3614]) ).

tcf(c_3820,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_5,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_635,c_371]) ).

tcf(c_3821,plain,
    select(queue_7,tail) = index_6,
    inference(superposition,[status(thm)],[c_635,c_370]) ).

tcf(c_3822,plain,
    index_69 = index_6,
    inference(light_normalisation,[status(thm)],[c_3821,c_547]) ).

tcf(c_3829,plain,
    p(index_69) = index_3,
    inference(demodulation,[status(thm)],[c_1852,c_3822]) ).

tcf(c_3835,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_7,X0) = select(queue_71,X0) ) ),
    inference(superposition,[status(thm)],[c_636,c_371]) ).

tcf(c_3840,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_71,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_637,c_371]) ).

tcf(c_3841,plain,
    select(queue_73,tail) = index_72,
    inference(superposition,[status(thm)],[c_637,c_370]) ).

tcf(c_3842,plain,
    index_135 = index_72,
    inference(light_normalisation,[status(thm)],[c_3841,c_482]) ).

tcf(c_3847,plain,
    p(index_135) = index_69,
    inference(demodulation,[status(thm)],[c_1855,c_3842]) ).

tcf(c_3849,plain,
    index_15 = index_69,
    inference(light_normalisation,[status(thm)],[c_3847,c_3602]) ).

tcf(c_3852,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_67,X0) = select(queue_77,X0) ) ),
    inference(superposition,[status(thm)],[c_638,c_371]) ).

tcf(c_3864,plain,
    index_9 = index_3,
    inference(light_normalisation,[status(thm)],[c_3829,c_2895,c_3849]) ).

tcf(c_3866,plain,
    select(queue_1,tail) = index_9,
    inference(demodulation,[status(thm)],[c_532,c_3864]) ).

tcf(c_3891,plain,
    store(queue_77,tail,index_135) = queue_79,
    inference(light_normalisation,[status(thm)],[c_639,c_3803]) ).

tcf(c_3892,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_77,X0) = select(queue_79,X0) ) ),
    inference(superposition,[status(thm)],[c_3891,c_371]) ).

tcf(c_3893,plain,
    select(queue_79,tail) = index_135,
    inference(superposition,[status(thm)],[c_3891,c_370]) ).

tcf(c_3896,plain,
    index_135 = index_81,
    inference(demodulation,[status(thm)],[c_551,c_3893]) ).

tcf(c_3902,plain,
    s(index_135) = index_84,
    inference(demodulation,[status(thm)],[c_552,c_3896]) ).

tcf(c_3903,plain,
    index_9 = index_84,
    inference(light_normalisation,[status(thm)],[c_3902,c_3603]) ).

tcf(c_3905,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_79,X0) = select(queue_83,X0) ) ),
    inference(superposition,[status(thm)],[c_640,c_371]) ).

tcf(c_3910,plain,
    store(queue_83,tail,index_9) = queue_85,
    inference(light_normalisation,[status(thm)],[c_641,c_3903]) ).

tcf(c_3911,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_83,X0) = select(queue_85,X0) ) ),
    inference(superposition,[status(thm)],[c_3910,c_371]) ).

tcf(c_3912,plain,
    select(queue_85,tail) = index_9,
    inference(superposition,[status(thm)],[c_3910,c_370]) ).

tcf(c_3915,plain,
    index_9 = index_87,
    inference(demodulation,[status(thm)],[c_553,c_3912]) ).

tcf(c_3921,plain,
    s(index_9) = index_90,
    inference(demodulation,[status(thm)],[c_555,c_3915]) ).

tcf(c_3922,plain,
    index_15 = index_90,
    inference(light_normalisation,[status(thm)],[c_3921,c_2896]) ).

tcf(c_3924,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_85,X0) = select(queue_89,X0) ) ),
    inference(superposition,[status(thm)],[c_642,c_371]) ).

tcf(c_3944,plain,
    store(queue_89,tail,index_15) = queue_91,
    inference(light_normalisation,[status(thm)],[c_643,c_3922]) ).

tcf(c_3945,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_89,X0) = select(queue_91,X0) ) ),
    inference(superposition,[status(thm)],[c_3944,c_371]) ).

tcf(c_3946,plain,
    select(queue_91,tail) = index_15,
    inference(superposition,[status(thm)],[c_3944,c_370]) ).

tcf(c_3949,plain,
    index_15 = index_93,
    inference(demodulation,[status(thm)],[c_556,c_3946]) ).

tcf(c_3955,plain,
    s(index_15) = index_96,
    inference(demodulation,[status(thm)],[c_557,c_3949]) ).

tcf(c_3956,plain,
    index_135 = index_96,
    inference(light_normalisation,[status(thm)],[c_3955,c_3614]) ).

tcf(c_3958,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_91,X0) = select(queue_95,X0) ) ),
    inference(superposition,[status(thm)],[c_644,c_371]) ).

tcf(c_3963,plain,
    store(queue_95,tail,index_135) = queue_97,
    inference(light_normalisation,[status(thm)],[c_645,c_3956]) ).

tcf(c_3964,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_95,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_3963,c_371]) ).

tcf(c_3965,plain,
    select(queue_97,tail) = index_135,
    inference(superposition,[status(thm)],[c_3963,c_370]) ).

tcf(c_3966,plain,
    index_99 = index_135,
    inference(light_normalisation,[status(thm)],[c_3965,c_558]) ).

tcf(c_3981,plain,
    p(index_99) = index_15,
    inference(demodulation,[status(thm)],[c_3602,c_3966]) ).

tcf(c_4001,plain,
    index_111 = index_15,
    inference(light_normalisation,[status(thm)],[c_3981,c_2770]) ).

tcf(c_4022,plain,
    p(index_111) = index_9,
    inference(demodulation,[status(thm)],[c_2895,c_4001]) ).

tcf(c_4027,plain,
    index_9 = index_105,
    inference(demodulation,[status(thm)],[c_2764,c_4022]) ).

tcf(c_4029,plain,
    select(earray_260,index_9) = elem_265,
    inference(demodulation,[status(thm)],[c_3436,c_4027]) ).

tcf(c_4544,plain,
    ( ( head = tail )
    | ( select(queue_1,tail) = index_0 ) ),
    inference(superposition,[status(thm)],[c_469,c_2684]) ).

tcf(c_4546,plain,
    ( ( index_9 = index_0 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_4544,c_3866]) ).

tcf(c_4547,plain,
    index_9 = index_0,
    inference(forward_subsumption_resolution,[status(thm)],[c_4546,c_372]) ).

tcf(c_4548,plain,
    select(queue_1,head) = index_9,
    inference(demodulation,[status(thm)],[c_2685,c_4547]) ).

tcf(c_4567,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_2694,c_2689]) ).

tcf(c_4593,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_109,X0) ) ),
    inference(superposition,[status(thm)],[c_2754,c_2709]) ).

tcf(c_4626,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_109,X0) = select(queue_115,X0) ) ),
    inference(superposition,[status(thm)],[c_2782,c_2776]) ).

tcf(c_4656,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_115,X0) = select(queue_121,X0) ) ),
    inference(superposition,[status(thm)],[c_2830,c_2824]) ).

tcf(c_4689,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_121,X0) = select(queue_127,X0) ) ),
    inference(superposition,[status(thm)],[c_2854,c_2848]) ).

tcf(c_4714,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_259,X0) ) ),
    inference(superposition,[status(thm)],[c_2886,c_2771]) ).

tcf(c_4735,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_127,X0) = select(queue_133,X0) ) ),
    inference(superposition,[status(thm)],[c_2907,c_2901]) ).

tcf(c_4767,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_139,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_2950,c_2921]) ).

tcf(c_4794,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_133,X0) = select(queue_145,X0) ) ),
    inference(superposition,[status(thm)],[c_2971,c_2965]) ).

tcf(c_4815,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_145,X0) = select(queue_151,X0) ) ),
    inference(superposition,[status(thm)],[c_3015,c_2985]) ).

tcf(c_4840,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_151,X0) = select(queue_157,X0) ) ),
    inference(superposition,[status(thm)],[c_3035,c_3029]) ).

tcf(c_4874,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_157,X0) = select(queue_163,X0) ) ),
    inference(superposition,[status(thm)],[c_3076,c_3049]) ).

tcf(c_4895,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_163,X0) = select(queue_169,X0) ) ),
    inference(superposition,[status(thm)],[c_3096,c_3090]) ).

tcf(c_4926,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_169,X0) = select(queue_175,X0) ) ),
    inference(superposition,[status(thm)],[c_3133,c_3127]) ).

tcf(c_4960,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_175,X0) = select(queue_181,X0) ) ),
    inference(superposition,[status(thm)],[c_3153,c_3147]) ).

tcf(c_4986,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_181,X0) = select(queue_187,X0) ) ),
    inference(superposition,[status(thm)],[c_3186,c_3180]) ).

tcf(c_5005,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_3200,c_3110]) ).

tcf(c_5026,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_187,X0) = select(queue_193,X0) ) ),
    inference(superposition,[status(thm)],[c_3246,c_3217]) ).

tcf(c_5060,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_193,X0) = select(queue_199,X0) ) ),
    inference(superposition,[status(thm)],[c_3266,c_3260]) ).

tcf(c_5081,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_139,X0) = select(queue_205,X0) ) ),
    inference(superposition,[status(thm)],[c_3302,c_3280]) ).

tcf(c_5106,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_199,X0) = select(queue_211,X0) ) ),
    inference(superposition,[status(thm)],[c_3325,c_3319]) ).

tcf(c_5140,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_211,X0) = select(queue_217,X0) ) ),
    inference(superposition,[status(thm)],[c_3370,c_3339]) ).

tcf(c_5167,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_217,X0) = select(queue_223,X0) ) ),
    inference(superposition,[status(thm)],[c_3390,c_3384]) ).

tcf(c_5192,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_223,X0) = select(queue_229,X0) ) ),
    inference(superposition,[status(thm)],[c_3425,c_3404]) ).

tcf(c_5233,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_205,X0) = select(queue_235,X0) ) ),
    inference(superposition,[status(thm)],[c_3450,c_3444]) ).

tcf(c_5260,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_235,X0) = select(queue_241,X0) ) ),
    inference(superposition,[status(thm)],[c_3477,c_3471]) ).

tcf(c_5285,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_241,X0) = select(queue_247,X0) ) ),
    inference(superposition,[status(thm)],[c_3497,c_3491]) ).

tcf(c_5304,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_19,X0) = select(queue_25,X0) ) ),
    inference(superposition,[status(thm)],[c_3525,c_3439]) ).

tcf(c_5342,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_247,X0) = select(queue_253,X0) ) ),
    inference(superposition,[status(thm)],[c_3544,c_3538]) ).

tcf(c_5367,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_253,X0) = select(queue_259,X0) ) ),
    inference(superposition,[status(thm)],[c_3578,c_3558]) ).

tcf(c_5394,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_25,X0) = select(queue_31,X0) ) ),
    inference(superposition,[status(thm)],[c_3626,c_3620]) ).

tcf(c_5440,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_31,X0) = select(queue_37,X0) ) ),
    inference(superposition,[status(thm)],[c_3653,c_3640]) ).

tcf(c_5469,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_37,X0) = select(queue_43,X0) ) ),
    inference(superposition,[status(thm)],[c_3672,c_3666]) ).

tcf(c_5498,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_43,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_3712,c_3685]) ).

tcf(c_5535,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_49,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_3736,c_3730]) ).

tcf(c_5564,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_55,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_3773,c_3767]) ).

tcf(c_5593,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_61,X0) = select(queue_67,X0) ) ),
    inference(superposition,[status(thm)],[c_3792,c_3786]) ).

tcf(c_5608,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_3820,c_3725]) ).

tcf(c_5648,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_7,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_3840,c_3835]) ).

tcf(c_5675,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_67,X0) = select(queue_79,X0) ) ),
    inference(superposition,[status(thm)],[c_3892,c_3852]) ).

tcf(c_5700,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_79,X0) = select(queue_85,X0) ) ),
    inference(superposition,[status(thm)],[c_3911,c_3905]) ).

tcf(c_5746,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_85,X0) = select(queue_91,X0) ) ),
    inference(superposition,[status(thm)],[c_3945,c_3924]) ).

tcf(c_5771,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_91,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_3964,c_3958]) ).

tcf(c_6375,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_223,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_5192,c_528]) ).

tcf(c_6377,plain,
    select(queue_223,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6375,c_373,c_372]) ).

tcf(c_6378,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_217,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_5167,c_6377]) ).

tcf(c_6380,plain,
    select(queue_217,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6378,c_373,c_372]) ).

tcf(c_6381,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_211,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_5140,c_6380]) ).

tcf(c_6383,plain,
    select(queue_211,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6381,c_373,c_372]) ).

tcf(c_6384,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_199,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_5106,c_6383]) ).

tcf(c_6386,plain,
    select(queue_199,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6384,c_373,c_372]) ).

tcf(c_6387,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_193,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_5060,c_6386]) ).

tcf(c_6389,plain,
    select(queue_193,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6387,c_373,c_372]) ).

tcf(c_6390,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_187,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_5026,c_6389]) ).

tcf(c_6392,plain,
    select(queue_187,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6390,c_373,c_372]) ).

tcf(c_6393,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_181,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4986,c_6392]) ).

tcf(c_6395,plain,
    select(queue_181,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6393,c_373,c_372]) ).

tcf(c_6400,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_175,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4960,c_6395]) ).

tcf(c_6402,plain,
    select(queue_175,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6400,c_373,c_372]) ).

tcf(c_6403,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_169,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4926,c_6402]) ).

tcf(c_6405,plain,
    select(queue_169,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6403,c_373,c_372]) ).

tcf(c_6460,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_163,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4895,c_6405]) ).

tcf(c_6462,plain,
    select(queue_163,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6460,c_373,c_372]) ).

tcf(c_6463,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_157,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4874,c_6462]) ).

tcf(c_6465,plain,
    select(queue_157,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6463,c_373,c_372]) ).

tcf(c_6466,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_151,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4840,c_6465]) ).

tcf(c_6468,plain,
    select(queue_151,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6466,c_373,c_372]) ).

tcf(c_6469,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_145,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4815,c_6468]) ).

tcf(c_6471,plain,
    select(queue_145,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6469,c_373,c_372]) ).

tcf(c_6476,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_133,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4794,c_6471]) ).

tcf(c_6478,plain,
    select(queue_133,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6476,c_373,c_372]) ).

tcf(c_6479,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_127,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4735,c_6478]) ).

tcf(c_6481,plain,
    select(queue_127,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6479,c_373,c_372]) ).

tcf(c_6482,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_121,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4689,c_6481]) ).

tcf(c_6484,plain,
    select(queue_121,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6482,c_373,c_372]) ).

tcf(c_6489,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_115,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4656,c_6484]) ).

tcf(c_6491,plain,
    select(queue_115,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6489,c_373,c_372]) ).

tcf(c_6492,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_109,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4626,c_6491]) ).

tcf(c_6494,plain,
    select(queue_109,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6492,c_373,c_372]) ).

tcf(c_6495,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_103,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_4593,c_6494]) ).

tcf(c_6497,plain,
    select(queue_103,head) = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_6495,c_373,c_372]) ).

tcf(c_6513,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_253,X0) ) ),
    inference(superposition,[status(thm)],[c_5367,c_4714]) ).

tcf(c_6608,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_139,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_5648,c_4767]) ).

tcf(c_6657,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_91,X0) ) ),
    inference(superposition,[status(thm)],[c_5771,c_4567]) ).

tcf(c_6776,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_247,X0) ) ),
    inference(superposition,[status(thm)],[c_6513,c_5342]) ).

tcf(c_6795,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_6608,c_5608]) ).

tcf(c_6810,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_85,X0) ) ),
    inference(superposition,[status(thm)],[c_6657,c_5746]) ).

tcf(c_6825,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_241,X0) ) ),
    inference(superposition,[status(thm)],[c_6776,c_5285]) ).

tcf(c_6850,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_79,X0) ) ),
    inference(superposition,[status(thm)],[c_6810,c_5700]) ).

tcf(c_6865,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_235,X0) ) ),
    inference(superposition,[status(thm)],[c_6825,c_5260]) ).

tcf(c_6880,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_67,X0) ) ),
    inference(superposition,[status(thm)],[c_6850,c_5675]) ).

tcf(c_6897,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_205,X0) ) ),
    inference(superposition,[status(thm)],[c_6865,c_5233]) ).

tcf(c_6918,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_6880,c_5593]) ).

tcf(c_6933,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_6897,c_5081]) ).

tcf(c_6952,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_6918,c_5564]) ).

tcf(c_7005,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_6933,c_6795]) ).

tcf(c_7020,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_6952,c_5535]) ).

tcf(c_7035,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_43,X0) ) ),
    inference(superposition,[status(thm)],[c_7020,c_5498]) ).

tcf(c_7064,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_37,X0) ) ),
    inference(superposition,[status(thm)],[c_7035,c_5469]) ).

tcf(c_7079,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_31,X0) ) ),
    inference(superposition,[status(thm)],[c_7064,c_5440]) ).

tcf(c_7094,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_25,X0) ) ),
    inference(superposition,[status(thm)],[c_7079,c_5394]) ).

tcf(c_7113,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_7094,c_5304]) ).

tcf(c_7128,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_7113,c_5005]) ).

tcf(c_7143,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_103,X0) ) ),
    inference(superposition,[status(thm)],[c_7128,c_7005]) ).

tcf(c_7162,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_1,head) = index_261 ) ),
    inference(superposition,[status(thm)],[c_7143,c_6497]) ).

tcf(c_7163,plain,
    ( ( index_9 = index_261 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_7162,c_4548]) ).

tcf(c_7164,plain,
    index_9 = index_261,
    inference(forward_subsumption_resolution,[status(thm)],[c_7163,c_373,c_372]) ).

tcf(c_7185,plain,
    select(earray_260,index_9) = elem_262,
    inference(demodulation,[status(thm)],[c_467,c_7164]) ).

tcf(c_7186,plain,
    elem_262 = elem_265,
    inference(demodulation,[status(thm)],[c_4029,c_7185]) ).

tcf(c_7187,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7186,c_1218]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV571-1.043 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n026.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 20:39:39 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 7.41/1.72  % SZS status Started for theBenchmark.p
% 7.41/1.72  % SZS status Unsatisfiable for theBenchmark.p
% 7.41/1.72  
% 7.41/1.72  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.41/1.72  
% 7.41/1.72  % ------  iProver source info
% 7.41/1.72  
% 7.41/1.72  % git: date: 2026-07-19 20:42:38 +0200
% 7.41/1.72  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.41/1.72  % git: non_committed_changes: false
% 7.41/1.72  
% 7.41/1.72  % ------ Parsing...% successful
% 7.41/1.72  
% 7.41/1.72  
% 7.41/1.72  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.41/1.72  
% 7.41/1.72  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 7.41/1.72  
% 7.41/1.72  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 7.41/1.72  
% 7.41/1.72  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.41/1.72  % ------ Proving...
% 7.41/1.72  % ------ Problem Properties 
% 7.41/1.72  
% 7.41/1.72  % 
% 7.41/1.72  % clauses                               277
% 7.41/1.72  % conjectures                           1
% 7.41/1.72  % EPR                                   4
% 7.41/1.72  % Horn                                  276
% 7.41/1.72  % unary                                 276
% 7.41/1.72  % binary                                1
% 7.41/1.72  % lits                                  278
% 7.41/1.72  % lits eq                               278
% 7.41/1.72  % fd_pure                               0
% 7.41/1.72  % fd_pseudo                             0
% 7.41/1.72  % fd_cond                               0
% 7.41/1.72  % fd_pseudo_cond                        1
% 7.41/1.72  % AC symbols                            0
% 7.41/1.72  
% 7.41/1.72  % ------ Schedule dynamic 5 is on 
% 7.41/1.72  
% 7.41/1.72  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.41/1.72  
% 7.41/1.72  
% 7.41/1.72  % ------ 
% 7.41/1.72  % Current options:
% 7.41/1.72  % ------ 
% 7.41/1.72  
% 7.41/1.72  
% 7.41/1.72  % 
% 7.41/1.72  
% 7.41/1.72  % ------ Proving...
% 7.41/1.72  % 
% 7.41/1.72  
% 7.41/1.72  % SZS status Unsatisfiable for theBenchmark.p
% 7.41/1.72  
% 7.41/1.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.41/1.73  
% 7.41/1.73  
%------------------------------------------------------------------------------