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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV571-1.049 : 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 : n006.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 8.00s 1.73s
% Output   : CNFRefutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  180
%            Number of leaves      :  260
% Syntax   : Number of formulae    : 1076 ( 874 unt;   0 def)
%            Number of atoms       : 1377 (1376 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  308 (   7   ~; 301   |;   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    :  311 ( 311 usr; 307 con; 0-3 aty)
%            Number of variables   :  190 (   0 sgn 190   !;   0   ?; 181   :)

% 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(f110,axiom,
    elem_298 = select(earray_296,index_297),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp99) ).

fof(f111,axiom,
    elem_301 = select(earray_296,index_300),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp100) ).

fof(f112,axiom,
    index_0 = select(q,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp101) ).

fof(f113,axiom,
    index_102 = s(index_99),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp102) ).

fof(f114,axiom,
    index_105 = select(q24,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp103) ).

fof(f115,axiom,
    index_108 = s(index_105),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp104) ).

fof(f116,axiom,
    index_111 = select(q25,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp105) ).

fof(f117,axiom,
    index_114 = s(index_111),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp106) ).

fof(f118,axiom,
    index_117 = select(q26,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp107) ).

fof(f119,axiom,
    index_12 = s(index_9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp108) ).

fof(f120,axiom,
    index_120 = s(index_117),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp109) ).

fof(f121,axiom,
    index_123 = select(q27,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp110) ).

fof(f122,axiom,
    index_126 = s(index_123),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp111) ).

fof(f123,axiom,
    index_129 = select(q28,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp112) ).

fof(f124,axiom,
    index_132 = s(index_129),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp113) ).

fof(f125,axiom,
    index_135 = select(q2,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp114) ).

fof(f126,axiom,
    index_138 = s(index_135),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp115) ).

fof(f127,axiom,
    index_141 = select(q29,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp116) ).

fof(f128,axiom,
    index_144 = s(index_141),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp117) ).

fof(f129,axiom,
    index_147 = select(q30,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp118) ).

fof(f130,axiom,
    index_15 = select(q10,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp119) ).

fof(f131,axiom,
    index_150 = s(index_147),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp120) ).

fof(f132,axiom,
    index_153 = select(q31,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp121) ).

fof(f133,axiom,
    index_156 = s(index_153),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp122) ).

fof(f134,axiom,
    index_159 = select(q32,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp123) ).

fof(f135,axiom,
    index_162 = s(index_159),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp124) ).

fof(f136,axiom,
    index_165 = select(q33,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp125) ).

fof(f137,axiom,
    index_168 = s(index_165),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp126) ).

fof(f138,axiom,
    index_171 = select(q34,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp127) ).

fof(f139,axiom,
    index_174 = s(index_171),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp128) ).

fof(f140,axiom,
    index_177 = select(q35,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp129) ).

fof(f141,axiom,
    index_18 = s(index_15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp130) ).

fof(f142,axiom,
    index_180 = s(index_177),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp131) ).

fof(f143,axiom,
    index_183 = select(q36,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp132) ).

fof(f144,axiom,
    index_186 = s(index_183),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp133) ).

fof(f145,axiom,
    index_189 = select(q37,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp134) ).

fof(f146,axiom,
    index_192 = s(index_189),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp135) ).

fof(f147,axiom,
    index_195 = select(q38,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp136) ).

fof(f148,axiom,
    index_198 = s(index_195),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp137) ).

fof(f149,axiom,
    index_201 = select(q3,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp138) ).

fof(f150,axiom,
    index_204 = s(index_201),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp139) ).

fof(f151,axiom,
    index_207 = select(q39,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp140) ).

fof(f152,axiom,
    index_21 = select(q11,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp141) ).

fof(f153,axiom,
    index_210 = s(index_207),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp142) ).

fof(f154,axiom,
    index_213 = select(q40,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp143) ).

fof(f155,axiom,
    index_216 = s(index_213),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp144) ).

fof(f156,axiom,
    index_219 = select(q41,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp145) ).

fof(f157,axiom,
    index_222 = s(index_219),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp146) ).

fof(f158,axiom,
    index_225 = select(q42,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp147) ).

fof(f159,axiom,
    index_228 = s(index_225),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp148) ).

fof(f160,axiom,
    index_231 = select(q43,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp149) ).

fof(f161,axiom,
    index_234 = s(index_231),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp150) ).

fof(f162,axiom,
    index_237 = select(q44,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp151) ).

fof(f163,axiom,
    index_24 = s(index_21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp152) ).

fof(f164,axiom,
    index_240 = s(index_237),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp153) ).

fof(f165,axiom,
    index_243 = select(q45,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp154) ).

fof(f166,axiom,
    index_246 = s(index_243),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp155) ).

fof(f167,axiom,
    index_249 = select(q46,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp156) ).

fof(f168,axiom,
    index_252 = s(index_249),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp157) ).

fof(f169,axiom,
    index_255 = select(q47,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp158) ).

fof(f170,axiom,
    index_258 = s(index_255),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp159) ).

fof(f171,axiom,
    index_261 = select(q48,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp160) ).

fof(f172,axiom,
    index_264 = s(index_261),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp161) ).

fof(f173,axiom,
    index_267 = select(q4,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp162) ).

fof(f174,axiom,
    index_27 = select(q12,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp163) ).

fof(f175,axiom,
    index_270 = s(index_267),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp164) ).

fof(f176,axiom,
    index_273 = select(q5,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp165) ).

fof(f177,axiom,
    index_276 = s(index_273),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp166) ).

fof(f178,axiom,
    index_279 = select(q6,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp167) ).

fof(f179,axiom,
    index_282 = s(index_279),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp168) ).

fof(f180,axiom,
    index_285 = select(q7,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp169) ).

fof(f181,axiom,
    index_288 = s(index_285),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp170) ).

fof(f182,axiom,
    index_291 = select(q8,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp171) ).

fof(f183,axiom,
    index_294 = s(index_291),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp172) ).

fof(f184,axiom,
    index_297 = select(q49,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp173) ).

fof(f185,axiom,
    index_299 = select(q49,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp174) ).

fof(f186,axiom,
    index_3 = select(q0,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp175) ).

fof(f187,axiom,
    index_30 = s(index_27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp176) ).

fof(f188,axiom,
    s(index_300) = index_299,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp177) ).

fof(f189,plain,
    index_299 = s(index_300),
    inference(reorient_equations,[],[f188]) ).

fof(f190,axiom,
    index_33 = select(q13,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp178) ).

fof(f191,axiom,
    index_36 = s(index_33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp179) ).

fof(f192,axiom,
    index_39 = select(q14,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp180) ).

fof(f193,axiom,
    index_42 = s(index_39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp181) ).

fof(f194,axiom,
    index_45 = select(q15,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp182) ).

fof(f195,axiom,
    index_48 = s(index_45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp183) ).

fof(f196,axiom,
    index_51 = select(q16,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp184) ).

fof(f197,axiom,
    index_54 = s(index_51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp185) ).

fof(f198,axiom,
    index_57 = select(q17,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp186) ).

fof(f199,axiom,
    index_6 = s(index_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp187) ).

fof(f200,axiom,
    index_60 = s(index_57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp188) ).

fof(f201,axiom,
    index_63 = select(q18,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp189) ).

fof(f202,axiom,
    index_66 = s(index_63),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp190) ).

fof(f203,axiom,
    index_69 = select(q1,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp191) ).

fof(f204,axiom,
    index_72 = s(index_69),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp192) ).

fof(f205,axiom,
    index_75 = select(q19,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp193) ).

fof(f206,axiom,
    index_78 = s(index_75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp194) ).

fof(f207,axiom,
    index_81 = select(q20,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp195) ).

fof(f208,axiom,
    index_84 = s(index_81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp196) ).

fof(f209,axiom,
    index_87 = select(q21,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp197) ).

fof(f210,axiom,
    index_9 = select(q9,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp198) ).

fof(f211,axiom,
    index_90 = s(index_87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp199) ).

fof(f212,axiom,
    index_93 = select(q22,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp200) ).

fof(f213,axiom,
    index_96 = s(index_93),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp201) ).

fof(f214,axiom,
    index_99 = select(q23,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp202) ).

fof(f215,axiom,
    queue_1 = store(q,head,index_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp203) ).

fof(f216,axiom,
    queue_101 = store(q23,seq,earray_100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp204) ).

fof(f217,axiom,
    queue_103 = store(queue_101,tail,index_102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp205) ).

fof(f218,axiom,
    queue_107 = store(q24,seq,earray_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp206) ).

fof(f219,axiom,
    queue_109 = store(queue_107,tail,index_108),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp207) ).

fof(f220,axiom,
    queue_11 = store(q9,seq,earray_10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp208) ).

fof(f221,axiom,
    queue_113 = store(q25,seq,earray_112),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp209) ).

fof(f222,axiom,
    queue_115 = store(queue_113,tail,index_114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp210) ).

fof(f223,axiom,
    queue_119 = store(q26,seq,earray_118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp211) ).

fof(f224,axiom,
    queue_121 = store(queue_119,tail,index_120),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp212) ).

fof(f225,axiom,
    queue_125 = store(q27,seq,earray_124),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp213) ).

fof(f226,axiom,
    queue_127 = store(queue_125,tail,index_126),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp214) ).

fof(f227,axiom,
    queue_13 = store(queue_11,tail,index_12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp215) ).

fof(f228,axiom,
    queue_131 = store(q28,seq,earray_130),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp216) ).

fof(f229,axiom,
    queue_133 = store(queue_131,tail,index_132),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp217) ).

fof(f230,axiom,
    queue_137 = store(q2,seq,earray_136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp218) ).

fof(f231,axiom,
    queue_139 = store(queue_137,tail,index_138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp219) ).

fof(f232,axiom,
    queue_143 = store(q29,seq,earray_142),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp220) ).

fof(f233,axiom,
    queue_145 = store(queue_143,tail,index_144),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp221) ).

fof(f234,axiom,
    queue_149 = store(q30,seq,earray_148),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp222) ).

fof(f235,axiom,
    queue_151 = store(queue_149,tail,index_150),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp223) ).

fof(f236,axiom,
    queue_155 = store(q31,seq,earray_154),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp224) ).

fof(f237,axiom,
    queue_157 = store(queue_155,tail,index_156),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp225) ).

fof(f238,axiom,
    queue_161 = store(q32,seq,earray_160),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp226) ).

fof(f239,axiom,
    queue_163 = store(queue_161,tail,index_162),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp227) ).

fof(f240,axiom,
    queue_167 = store(q33,seq,earray_166),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp228) ).

fof(f241,axiom,
    queue_169 = store(queue_167,tail,index_168),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp229) ).

fof(f242,axiom,
    queue_17 = store(q10,seq,earray_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp230) ).

fof(f243,axiom,
    queue_173 = store(q34,seq,earray_172),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp231) ).

fof(f244,axiom,
    queue_175 = store(queue_173,tail,index_174),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp232) ).

fof(f245,axiom,
    queue_179 = store(q35,seq,earray_178),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp233) ).

fof(f246,axiom,
    queue_181 = store(queue_179,tail,index_180),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp234) ).

fof(f247,axiom,
    queue_185 = store(q36,seq,earray_184),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp235) ).

fof(f248,axiom,
    queue_187 = store(queue_185,tail,index_186),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp236) ).

fof(f249,axiom,
    queue_19 = store(queue_17,tail,index_18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp237) ).

fof(f250,axiom,
    queue_191 = store(q37,seq,earray_190),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp238) ).

fof(f251,axiom,
    queue_193 = store(queue_191,tail,index_192),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp239) ).

fof(f252,axiom,
    queue_197 = store(q38,seq,earray_196),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp240) ).

fof(f253,axiom,
    queue_199 = store(queue_197,tail,index_198),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp241) ).

fof(f254,axiom,
    queue_203 = store(q3,seq,earray_202),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp242) ).

fof(f255,axiom,
    queue_205 = store(queue_203,tail,index_204),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp243) ).

fof(f256,axiom,
    queue_209 = store(q39,seq,earray_208),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp244) ).

fof(f257,axiom,
    queue_211 = store(queue_209,tail,index_210),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp245) ).

fof(f258,axiom,
    queue_215 = store(q40,seq,earray_214),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp246) ).

fof(f259,axiom,
    queue_217 = store(queue_215,tail,index_216),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp247) ).

fof(f260,axiom,
    queue_221 = store(q41,seq,earray_220),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp248) ).

fof(f261,axiom,
    queue_223 = store(queue_221,tail,index_222),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp249) ).

fof(f262,axiom,
    queue_227 = store(q42,seq,earray_226),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp250) ).

fof(f263,axiom,
    queue_229 = store(queue_227,tail,index_228),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp251) ).

fof(f264,axiom,
    queue_23 = store(q11,seq,earray_22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp252) ).

fof(f265,axiom,
    queue_233 = store(q43,seq,earray_232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp253) ).

fof(f266,axiom,
    queue_235 = store(queue_233,tail,index_234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp254) ).

fof(f267,axiom,
    queue_239 = store(q44,seq,earray_238),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp255) ).

fof(f268,axiom,
    queue_241 = store(queue_239,tail,index_240),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp256) ).

fof(f269,axiom,
    queue_245 = store(q45,seq,earray_244),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp257) ).

fof(f270,axiom,
    queue_247 = store(queue_245,tail,index_246),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp258) ).

fof(f271,axiom,
    queue_25 = store(queue_23,tail,index_24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp259) ).

fof(f272,axiom,
    queue_251 = store(q46,seq,earray_250),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp260) ).

fof(f273,axiom,
    queue_253 = store(queue_251,tail,index_252),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp261) ).

fof(f274,axiom,
    queue_257 = store(q47,seq,earray_256),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp262) ).

fof(f275,axiom,
    queue_259 = store(queue_257,tail,index_258),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp263) ).

fof(f276,axiom,
    queue_263 = store(q48,seq,earray_262),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp264) ).

fof(f277,axiom,
    queue_265 = store(queue_263,tail,index_264),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp265) ).

fof(f278,axiom,
    queue_269 = store(q4,seq,earray_268),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp266) ).

fof(f279,axiom,
    queue_271 = store(queue_269,tail,index_270),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp267) ).

fof(f280,axiom,
    queue_275 = store(q5,seq,earray_274),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp268) ).

fof(f281,axiom,
    queue_277 = store(queue_275,tail,index_276),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp269) ).

fof(f282,axiom,
    queue_281 = store(q6,seq,earray_280),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp270) ).

fof(f283,axiom,
    queue_283 = store(queue_281,tail,index_282),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp271) ).

fof(f284,axiom,
    queue_287 = store(q7,seq,earray_286),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp272) ).

fof(f285,axiom,
    queue_289 = store(queue_287,tail,index_288),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp273) ).

fof(f286,axiom,
    queue_29 = store(q12,seq,earray_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp274) ).

fof(f287,axiom,
    queue_293 = store(q8,seq,earray_292),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp275) ).

fof(f288,axiom,
    queue_295 = store(queue_293,tail,index_294),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp276) ).

fof(f289,axiom,
    queue_31 = store(queue_29,tail,index_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp277) ).

fof(f290,axiom,
    queue_35 = store(q13,seq,earray_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp278) ).

fof(f291,axiom,
    queue_37 = store(queue_35,tail,index_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp279) ).

fof(f292,axiom,
    queue_41 = store(q14,seq,earray_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp280) ).

fof(f293,axiom,
    queue_43 = store(queue_41,tail,index_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp281) ).

fof(f294,axiom,
    queue_47 = store(q15,seq,earray_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp282) ).

fof(f295,axiom,
    queue_49 = store(queue_47,tail,index_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp283) ).

fof(f296,axiom,
    queue_5 = store(q0,seq,earray_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp284) ).

fof(f297,axiom,
    queue_53 = store(q16,seq,earray_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp285) ).

fof(f298,axiom,
    queue_55 = store(queue_53,tail,index_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp286) ).

fof(f299,axiom,
    queue_59 = store(q17,seq,earray_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp287) ).

fof(f300,axiom,
    queue_61 = store(queue_59,tail,index_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp288) ).

fof(f301,axiom,
    queue_65 = store(q18,seq,earray_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp289) ).

fof(f302,axiom,
    queue_67 = store(queue_65,tail,index_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp290) ).

fof(f303,axiom,
    queue_7 = store(queue_5,tail,index_6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp291) ).

fof(f304,axiom,
    queue_71 = store(q1,seq,earray_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp292) ).

fof(f305,axiom,
    queue_73 = store(queue_71,tail,index_72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp293) ).

fof(f306,axiom,
    queue_77 = store(q19,seq,earray_76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp294) ).

fof(f307,axiom,
    queue_79 = store(queue_77,tail,index_78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp295) ).

fof(f308,axiom,
    queue_83 = store(q20,seq,earray_82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp296) ).

fof(f309,axiom,
    queue_85 = store(queue_83,tail,index_84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp297) ).

fof(f310,axiom,
    queue_89 = store(q21,seq,earray_88),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp298) ).

fof(f311,axiom,
    queue_91 = store(queue_89,tail,index_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp299) ).

fof(f312,axiom,
    queue_95 = store(q22,seq,earray_94),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp300) ).

fof(f313,axiom,
    queue_97 = store(queue_95,tail,index_96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp301) ).

fof(f314,axiom,
    q0 = queue_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp302) ).

fof(f315,axiom,
    q1 = queue_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp303) ).

fof(f316,axiom,
    q10 = queue_13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp304) ).

fof(f317,axiom,
    q11 = queue_19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp305) ).

fof(f318,axiom,
    q12 = queue_25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp306) ).

fof(f319,axiom,
    q13 = queue_31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp307) ).

fof(f320,axiom,
    q14 = queue_37,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp308) ).

fof(f321,axiom,
    q15 = queue_43,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp309) ).

fof(f322,axiom,
    q16 = queue_49,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp310) ).

fof(f323,axiom,
    q17 = queue_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp311) ).

fof(f324,axiom,
    q18 = queue_61,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp312) ).

fof(f325,axiom,
    q19 = queue_67,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp313) ).

fof(f326,axiom,
    q2 = queue_73,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp314) ).

fof(f327,axiom,
    q20 = queue_79,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp315) ).

fof(f328,axiom,
    q21 = queue_85,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp316) ).

fof(f329,axiom,
    q22 = queue_91,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp317) ).

fof(f330,axiom,
    q23 = queue_97,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp318) ).

fof(f331,axiom,
    q24 = queue_103,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp319) ).

fof(f332,axiom,
    q25 = queue_109,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp320) ).

fof(f333,axiom,
    q26 = queue_115,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp321) ).

fof(f334,axiom,
    q27 = queue_121,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp322) ).

fof(f335,axiom,
    q28 = queue_127,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp323) ).

fof(f336,axiom,
    q29 = queue_133,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp324) ).

fof(f337,axiom,
    q3 = queue_139,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp325) ).

fof(f338,axiom,
    q30 = queue_145,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp326) ).

fof(f339,axiom,
    q31 = queue_151,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp327) ).

fof(f340,axiom,
    q32 = queue_157,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp328) ).

fof(f341,axiom,
    q33 = queue_163,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp329) ).

fof(f342,axiom,
    q34 = queue_169,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp330) ).

fof(f343,axiom,
    q35 = queue_175,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp331) ).

fof(f344,axiom,
    q36 = queue_181,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp332) ).

fof(f345,axiom,
    q37 = queue_187,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp333) ).

fof(f346,axiom,
    q38 = queue_193,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp334) ).

fof(f347,axiom,
    q39 = queue_199,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp335) ).

fof(f348,axiom,
    q4 = queue_205,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp336) ).

fof(f349,axiom,
    q40 = queue_211,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp337) ).

fof(f350,axiom,
    q41 = queue_217,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp338) ).

fof(f351,axiom,
    q42 = queue_223,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp339) ).

fof(f352,axiom,
    q43 = queue_229,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp340) ).

fof(f353,axiom,
    q44 = queue_235,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp341) ).

fof(f354,axiom,
    q45 = queue_241,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp342) ).

fof(f355,axiom,
    q46 = queue_247,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp343) ).

fof(f356,axiom,
    q47 = queue_253,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp344) ).

fof(f357,axiom,
    q48 = queue_259,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp345) ).

fof(f358,axiom,
    q49 = queue_265,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp346) ).

fof(f359,axiom,
    q5 = queue_271,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp347) ).

fof(f360,axiom,
    q6 = queue_277,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp348) ).

fof(f361,axiom,
    q7 = queue_283,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp349) ).

fof(f362,axiom,
    q8 = queue_289,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp350) ).

fof(f363,axiom,
    q9 = queue_295,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp351) ).

fof(f364,negated_conjecture,
    elem_298 != elem_301,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f415,plain,
    index_105 = select(queue_103,tail),
    inference(definition_unfolding,[],[f114,f331]) ).

fof(f416,plain,
    index_111 = select(queue_109,tail),
    inference(definition_unfolding,[],[f116,f332]) ).

fof(f417,plain,
    index_117 = select(queue_115,tail),
    inference(definition_unfolding,[],[f118,f333]) ).

fof(f418,plain,
    index_123 = select(queue_121,tail),
    inference(definition_unfolding,[],[f121,f334]) ).

fof(f419,plain,
    index_129 = select(queue_127,tail),
    inference(definition_unfolding,[],[f123,f335]) ).

fof(f420,plain,
    index_135 = select(queue_73,tail),
    inference(definition_unfolding,[],[f125,f326]) ).

fof(f421,plain,
    index_141 = select(queue_133,tail),
    inference(definition_unfolding,[],[f127,f336]) ).

fof(f422,plain,
    index_147 = select(queue_145,tail),
    inference(definition_unfolding,[],[f129,f338]) ).

fof(f423,plain,
    index_15 = select(queue_13,tail),
    inference(definition_unfolding,[],[f130,f316]) ).

fof(f424,plain,
    index_153 = select(queue_151,tail),
    inference(definition_unfolding,[],[f132,f339]) ).

fof(f425,plain,
    index_159 = select(queue_157,tail),
    inference(definition_unfolding,[],[f134,f340]) ).

fof(f426,plain,
    index_165 = select(queue_163,tail),
    inference(definition_unfolding,[],[f136,f341]) ).

fof(f427,plain,
    index_171 = select(queue_169,tail),
    inference(definition_unfolding,[],[f138,f342]) ).

fof(f428,plain,
    index_177 = select(queue_175,tail),
    inference(definition_unfolding,[],[f140,f343]) ).

fof(f429,plain,
    index_183 = select(queue_181,tail),
    inference(definition_unfolding,[],[f143,f344]) ).

fof(f430,plain,
    index_189 = select(queue_187,tail),
    inference(definition_unfolding,[],[f145,f345]) ).

fof(f431,plain,
    index_195 = select(queue_193,tail),
    inference(definition_unfolding,[],[f147,f346]) ).

fof(f432,plain,
    index_201 = select(queue_139,tail),
    inference(definition_unfolding,[],[f149,f337]) ).

fof(f433,plain,
    index_207 = select(queue_199,tail),
    inference(definition_unfolding,[],[f151,f347]) ).

fof(f434,plain,
    index_21 = select(queue_19,tail),
    inference(definition_unfolding,[],[f152,f317]) ).

fof(f435,plain,
    index_213 = select(queue_211,tail),
    inference(definition_unfolding,[],[f154,f349]) ).

fof(f436,plain,
    index_219 = select(queue_217,tail),
    inference(definition_unfolding,[],[f156,f350]) ).

fof(f437,plain,
    index_225 = select(queue_223,tail),
    inference(definition_unfolding,[],[f158,f351]) ).

fof(f438,plain,
    index_231 = select(queue_229,tail),
    inference(definition_unfolding,[],[f160,f352]) ).

fof(f439,plain,
    index_237 = select(queue_235,tail),
    inference(definition_unfolding,[],[f162,f353]) ).

fof(f440,plain,
    index_243 = select(queue_241,tail),
    inference(definition_unfolding,[],[f165,f354]) ).

fof(f441,plain,
    index_249 = select(queue_247,tail),
    inference(definition_unfolding,[],[f167,f355]) ).

fof(f442,plain,
    index_255 = select(queue_253,tail),
    inference(definition_unfolding,[],[f169,f356]) ).

fof(f443,plain,
    index_261 = select(queue_259,tail),
    inference(definition_unfolding,[],[f171,f357]) ).

fof(f444,plain,
    index_267 = select(queue_205,tail),
    inference(definition_unfolding,[],[f173,f348]) ).

fof(f445,plain,
    index_27 = select(queue_25,tail),
    inference(definition_unfolding,[],[f174,f318]) ).

fof(f446,plain,
    index_273 = select(queue_271,tail),
    inference(definition_unfolding,[],[f176,f359]) ).

fof(f447,plain,
    index_279 = select(queue_277,tail),
    inference(definition_unfolding,[],[f178,f360]) ).

fof(f448,plain,
    index_285 = select(queue_283,tail),
    inference(definition_unfolding,[],[f180,f361]) ).

fof(f449,plain,
    index_291 = select(queue_289,tail),
    inference(definition_unfolding,[],[f182,f362]) ).

fof(f450,plain,
    index_297 = select(queue_265,head),
    inference(definition_unfolding,[],[f184,f358]) ).

fof(f451,plain,
    index_299 = select(queue_265,tail),
    inference(definition_unfolding,[],[f185,f358]) ).

fof(f452,plain,
    index_3 = select(queue_1,tail),
    inference(definition_unfolding,[],[f186,f314]) ).

fof(f453,plain,
    index_33 = select(queue_31,tail),
    inference(definition_unfolding,[],[f190,f319]) ).

fof(f454,plain,
    index_39 = select(queue_37,tail),
    inference(definition_unfolding,[],[f192,f320]) ).

fof(f455,plain,
    index_45 = select(queue_43,tail),
    inference(definition_unfolding,[],[f194,f321]) ).

fof(f456,plain,
    index_51 = select(queue_49,tail),
    inference(definition_unfolding,[],[f196,f322]) ).

fof(f457,plain,
    index_57 = select(queue_55,tail),
    inference(definition_unfolding,[],[f198,f323]) ).

fof(f458,plain,
    index_63 = select(queue_61,tail),
    inference(definition_unfolding,[],[f201,f324]) ).

fof(f459,plain,
    index_69 = select(queue_7,tail),
    inference(definition_unfolding,[],[f203,f315]) ).

fof(f460,plain,
    index_75 = select(queue_67,tail),
    inference(definition_unfolding,[],[f205,f325]) ).

fof(f461,plain,
    index_81 = select(queue_79,tail),
    inference(definition_unfolding,[],[f207,f327]) ).

fof(f462,plain,
    index_87 = select(queue_85,tail),
    inference(definition_unfolding,[],[f209,f328]) ).

fof(f463,plain,
    index_9 = select(queue_295,tail),
    inference(definition_unfolding,[],[f210,f363]) ).

fof(f464,plain,
    index_93 = select(queue_91,tail),
    inference(definition_unfolding,[],[f212,f329]) ).

fof(f465,plain,
    index_99 = select(queue_97,tail),
    inference(definition_unfolding,[],[f214,f330]) ).

fof(f466,plain,
    queue_101 = store(queue_97,seq,earray_100),
    inference(definition_unfolding,[],[f216,f330]) ).

fof(f467,plain,
    queue_107 = store(queue_103,seq,earray_106),
    inference(definition_unfolding,[],[f218,f331]) ).

fof(f468,plain,
    queue_11 = store(queue_295,seq,earray_10),
    inference(definition_unfolding,[],[f220,f363]) ).

fof(f469,plain,
    queue_113 = store(queue_109,seq,earray_112),
    inference(definition_unfolding,[],[f221,f332]) ).

fof(f470,plain,
    queue_119 = store(queue_115,seq,earray_118),
    inference(definition_unfolding,[],[f223,f333]) ).

fof(f471,plain,
    queue_125 = store(queue_121,seq,earray_124),
    inference(definition_unfolding,[],[f225,f334]) ).

fof(f472,plain,
    queue_131 = store(queue_127,seq,earray_130),
    inference(definition_unfolding,[],[f228,f335]) ).

fof(f473,plain,
    queue_137 = store(queue_73,seq,earray_136),
    inference(definition_unfolding,[],[f230,f326]) ).

fof(f474,plain,
    queue_143 = store(queue_133,seq,earray_142),
    inference(definition_unfolding,[],[f232,f336]) ).

fof(f475,plain,
    queue_149 = store(queue_145,seq,earray_148),
    inference(definition_unfolding,[],[f234,f338]) ).

fof(f476,plain,
    queue_155 = store(queue_151,seq,earray_154),
    inference(definition_unfolding,[],[f236,f339]) ).

fof(f477,plain,
    queue_161 = store(queue_157,seq,earray_160),
    inference(definition_unfolding,[],[f238,f340]) ).

fof(f478,plain,
    queue_167 = store(queue_163,seq,earray_166),
    inference(definition_unfolding,[],[f240,f341]) ).

fof(f479,plain,
    queue_17 = store(queue_13,seq,earray_16),
    inference(definition_unfolding,[],[f242,f316]) ).

fof(f480,plain,
    queue_173 = store(queue_169,seq,earray_172),
    inference(definition_unfolding,[],[f243,f342]) ).

fof(f481,plain,
    queue_179 = store(queue_175,seq,earray_178),
    inference(definition_unfolding,[],[f245,f343]) ).

fof(f482,plain,
    queue_185 = store(queue_181,seq,earray_184),
    inference(definition_unfolding,[],[f247,f344]) ).

fof(f483,plain,
    queue_191 = store(queue_187,seq,earray_190),
    inference(definition_unfolding,[],[f250,f345]) ).

fof(f484,plain,
    queue_197 = store(queue_193,seq,earray_196),
    inference(definition_unfolding,[],[f252,f346]) ).

fof(f485,plain,
    queue_203 = store(queue_139,seq,earray_202),
    inference(definition_unfolding,[],[f254,f337]) ).

fof(f486,plain,
    queue_209 = store(queue_199,seq,earray_208),
    inference(definition_unfolding,[],[f256,f347]) ).

fof(f487,plain,
    queue_215 = store(queue_211,seq,earray_214),
    inference(definition_unfolding,[],[f258,f349]) ).

fof(f488,plain,
    queue_221 = store(queue_217,seq,earray_220),
    inference(definition_unfolding,[],[f260,f350]) ).

fof(f489,plain,
    queue_227 = store(queue_223,seq,earray_226),
    inference(definition_unfolding,[],[f262,f351]) ).

fof(f490,plain,
    queue_23 = store(queue_19,seq,earray_22),
    inference(definition_unfolding,[],[f264,f317]) ).

fof(f491,plain,
    queue_233 = store(queue_229,seq,earray_232),
    inference(definition_unfolding,[],[f265,f352]) ).

fof(f492,plain,
    queue_239 = store(queue_235,seq,earray_238),
    inference(definition_unfolding,[],[f267,f353]) ).

fof(f493,plain,
    queue_245 = store(queue_241,seq,earray_244),
    inference(definition_unfolding,[],[f269,f354]) ).

fof(f494,plain,
    queue_251 = store(queue_247,seq,earray_250),
    inference(definition_unfolding,[],[f272,f355]) ).

fof(f495,plain,
    queue_257 = store(queue_253,seq,earray_256),
    inference(definition_unfolding,[],[f274,f356]) ).

fof(f496,plain,
    queue_263 = store(queue_259,seq,earray_262),
    inference(definition_unfolding,[],[f276,f357]) ).

fof(f497,plain,
    queue_269 = store(queue_205,seq,earray_268),
    inference(definition_unfolding,[],[f278,f348]) ).

fof(f498,plain,
    queue_275 = store(queue_271,seq,earray_274),
    inference(definition_unfolding,[],[f280,f359]) ).

fof(f499,plain,
    queue_281 = store(queue_277,seq,earray_280),
    inference(definition_unfolding,[],[f282,f360]) ).

fof(f500,plain,
    queue_287 = store(queue_283,seq,earray_286),
    inference(definition_unfolding,[],[f284,f361]) ).

fof(f501,plain,
    queue_29 = store(queue_25,seq,earray_28),
    inference(definition_unfolding,[],[f286,f318]) ).

fof(f502,plain,
    queue_293 = store(queue_289,seq,earray_292),
    inference(definition_unfolding,[],[f287,f362]) ).

fof(f503,plain,
    queue_35 = store(queue_31,seq,earray_34),
    inference(definition_unfolding,[],[f290,f319]) ).

fof(f504,plain,
    queue_41 = store(queue_37,seq,earray_40),
    inference(definition_unfolding,[],[f292,f320]) ).

fof(f505,plain,
    queue_47 = store(queue_43,seq,earray_46),
    inference(definition_unfolding,[],[f294,f321]) ).

fof(f506,plain,
    queue_5 = store(queue_1,seq,earray_4),
    inference(definition_unfolding,[],[f296,f314]) ).

fof(f507,plain,
    queue_53 = store(queue_49,seq,earray_52),
    inference(definition_unfolding,[],[f297,f322]) ).

fof(f508,plain,
    queue_59 = store(queue_55,seq,earray_58),
    inference(definition_unfolding,[],[f299,f323]) ).

fof(f509,plain,
    queue_65 = store(queue_61,seq,earray_64),
    inference(definition_unfolding,[],[f301,f324]) ).

fof(f510,plain,
    queue_71 = store(queue_7,seq,earray_70),
    inference(definition_unfolding,[],[f304,f315]) ).

fof(f511,plain,
    queue_77 = store(queue_67,seq,earray_76),
    inference(definition_unfolding,[],[f306,f325]) ).

fof(f512,plain,
    queue_83 = store(queue_79,seq,earray_82),
    inference(definition_unfolding,[],[f308,f327]) ).

fof(f513,plain,
    queue_89 = store(queue_85,seq,earray_88),
    inference(definition_unfolding,[],[f310,f328]) ).

fof(f514,plain,
    queue_95 = store(queue_91,seq,earray_94),
    inference(definition_unfolding,[],[f312,f329]) ).

tcf(c_412,plain,
    ! [X0: $i,X1: $i,X2: $i] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_413,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_414,plain,
    head != tail,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_415,plain,
    head != seq,
    inference(cnf_transformation,[],[f4]) ).

tcf(c_417,plain,
    ! [X0: $i] : p(s(X0)) = X0,
    inference(cnf_transformation,[],[f6]) ).

tcf(c_421,plain,
    ! [X0: $i] : s(s(s(X0))) = X0,
    inference(cnf_transformation,[],[f10]) ).

tcf(c_521,plain,
    select(earray_296,index_297) = elem_298,
    inference(cnf_transformation,[],[f110]) ).

tcf(c_522,plain,
    select(earray_296,index_300) = elem_301,
    inference(cnf_transformation,[],[f111]) ).

tcf(c_523,plain,
    select(q,tail) = index_0,
    inference(cnf_transformation,[],[f112]) ).

tcf(c_524,plain,
    s(index_99) = index_102,
    inference(cnf_transformation,[],[f113]) ).

tcf(c_525,plain,
    select(queue_103,tail) = index_105,
    inference(cnf_transformation,[],[f415]) ).

tcf(c_526,plain,
    s(index_105) = index_108,
    inference(cnf_transformation,[],[f115]) ).

tcf(c_527,plain,
    select(queue_109,tail) = index_111,
    inference(cnf_transformation,[],[f416]) ).

tcf(c_528,plain,
    s(index_111) = index_114,
    inference(cnf_transformation,[],[f117]) ).

tcf(c_529,plain,
    select(queue_115,tail) = index_117,
    inference(cnf_transformation,[],[f417]) ).

tcf(c_530,plain,
    s(index_9) = index_12,
    inference(cnf_transformation,[],[f119]) ).

tcf(c_531,plain,
    s(index_117) = index_120,
    inference(cnf_transformation,[],[f120]) ).

tcf(c_532,plain,
    select(queue_121,tail) = index_123,
    inference(cnf_transformation,[],[f418]) ).

tcf(c_533,plain,
    s(index_123) = index_126,
    inference(cnf_transformation,[],[f122]) ).

tcf(c_534,plain,
    select(queue_127,tail) = index_129,
    inference(cnf_transformation,[],[f419]) ).

tcf(c_535,plain,
    s(index_129) = index_132,
    inference(cnf_transformation,[],[f124]) ).

tcf(c_536,plain,
    select(queue_73,tail) = index_135,
    inference(cnf_transformation,[],[f420]) ).

tcf(c_537,plain,
    s(index_135) = index_138,
    inference(cnf_transformation,[],[f126]) ).

tcf(c_538,plain,
    select(queue_133,tail) = index_141,
    inference(cnf_transformation,[],[f421]) ).

tcf(c_539,plain,
    s(index_141) = index_144,
    inference(cnf_transformation,[],[f128]) ).

tcf(c_540,plain,
    select(queue_145,tail) = index_147,
    inference(cnf_transformation,[],[f422]) ).

tcf(c_541,plain,
    select(queue_13,tail) = index_15,
    inference(cnf_transformation,[],[f423]) ).

tcf(c_542,plain,
    s(index_147) = index_150,
    inference(cnf_transformation,[],[f131]) ).

tcf(c_543,plain,
    select(queue_151,tail) = index_153,
    inference(cnf_transformation,[],[f424]) ).

tcf(c_544,plain,
    s(index_153) = index_156,
    inference(cnf_transformation,[],[f133]) ).

tcf(c_545,plain,
    select(queue_157,tail) = index_159,
    inference(cnf_transformation,[],[f425]) ).

tcf(c_546,plain,
    s(index_159) = index_162,
    inference(cnf_transformation,[],[f135]) ).

tcf(c_547,plain,
    select(queue_163,tail) = index_165,
    inference(cnf_transformation,[],[f426]) ).

tcf(c_548,plain,
    s(index_165) = index_168,
    inference(cnf_transformation,[],[f137]) ).

tcf(c_549,plain,
    select(queue_169,tail) = index_171,
    inference(cnf_transformation,[],[f427]) ).

tcf(c_550,plain,
    s(index_171) = index_174,
    inference(cnf_transformation,[],[f139]) ).

tcf(c_551,plain,
    select(queue_175,tail) = index_177,
    inference(cnf_transformation,[],[f428]) ).

tcf(c_552,plain,
    s(index_15) = index_18,
    inference(cnf_transformation,[],[f141]) ).

tcf(c_553,plain,
    s(index_177) = index_180,
    inference(cnf_transformation,[],[f142]) ).

tcf(c_554,plain,
    select(queue_181,tail) = index_183,
    inference(cnf_transformation,[],[f429]) ).

tcf(c_555,plain,
    s(index_183) = index_186,
    inference(cnf_transformation,[],[f144]) ).

tcf(c_556,plain,
    select(queue_187,tail) = index_189,
    inference(cnf_transformation,[],[f430]) ).

tcf(c_557,plain,
    s(index_189) = index_192,
    inference(cnf_transformation,[],[f146]) ).

tcf(c_558,plain,
    select(queue_193,tail) = index_195,
    inference(cnf_transformation,[],[f431]) ).

tcf(c_559,plain,
    s(index_195) = index_198,
    inference(cnf_transformation,[],[f148]) ).

tcf(c_560,plain,
    select(queue_139,tail) = index_201,
    inference(cnf_transformation,[],[f432]) ).

tcf(c_561,plain,
    s(index_201) = index_204,
    inference(cnf_transformation,[],[f150]) ).

tcf(c_562,plain,
    select(queue_199,tail) = index_207,
    inference(cnf_transformation,[],[f433]) ).

tcf(c_563,plain,
    select(queue_19,tail) = index_21,
    inference(cnf_transformation,[],[f434]) ).

tcf(c_564,plain,
    s(index_207) = index_210,
    inference(cnf_transformation,[],[f153]) ).

tcf(c_565,plain,
    select(queue_211,tail) = index_213,
    inference(cnf_transformation,[],[f435]) ).

tcf(c_566,plain,
    s(index_213) = index_216,
    inference(cnf_transformation,[],[f155]) ).

tcf(c_567,plain,
    select(queue_217,tail) = index_219,
    inference(cnf_transformation,[],[f436]) ).

tcf(c_568,plain,
    s(index_219) = index_222,
    inference(cnf_transformation,[],[f157]) ).

tcf(c_569,plain,
    select(queue_223,tail) = index_225,
    inference(cnf_transformation,[],[f437]) ).

tcf(c_570,plain,
    s(index_225) = index_228,
    inference(cnf_transformation,[],[f159]) ).

tcf(c_571,plain,
    select(queue_229,tail) = index_231,
    inference(cnf_transformation,[],[f438]) ).

tcf(c_572,plain,
    s(index_231) = index_234,
    inference(cnf_transformation,[],[f161]) ).

tcf(c_573,plain,
    select(queue_235,tail) = index_237,
    inference(cnf_transformation,[],[f439]) ).

tcf(c_574,plain,
    s(index_21) = index_24,
    inference(cnf_transformation,[],[f163]) ).

tcf(c_575,plain,
    s(index_237) = index_240,
    inference(cnf_transformation,[],[f164]) ).

tcf(c_576,plain,
    select(queue_241,tail) = index_243,
    inference(cnf_transformation,[],[f440]) ).

tcf(c_577,plain,
    s(index_243) = index_246,
    inference(cnf_transformation,[],[f166]) ).

tcf(c_578,plain,
    select(queue_247,tail) = index_249,
    inference(cnf_transformation,[],[f441]) ).

tcf(c_579,plain,
    s(index_249) = index_252,
    inference(cnf_transformation,[],[f168]) ).

tcf(c_580,plain,
    select(queue_253,tail) = index_255,
    inference(cnf_transformation,[],[f442]) ).

tcf(c_581,plain,
    s(index_255) = index_258,
    inference(cnf_transformation,[],[f170]) ).

tcf(c_582,plain,
    select(queue_259,tail) = index_261,
    inference(cnf_transformation,[],[f443]) ).

tcf(c_583,plain,
    s(index_261) = index_264,
    inference(cnf_transformation,[],[f172]) ).

tcf(c_584,plain,
    select(queue_205,tail) = index_267,
    inference(cnf_transformation,[],[f444]) ).

tcf(c_585,plain,
    select(queue_25,tail) = index_27,
    inference(cnf_transformation,[],[f445]) ).

tcf(c_586,plain,
    s(index_267) = index_270,
    inference(cnf_transformation,[],[f175]) ).

tcf(c_587,plain,
    select(queue_271,tail) = index_273,
    inference(cnf_transformation,[],[f446]) ).

tcf(c_588,plain,
    s(index_273) = index_276,
    inference(cnf_transformation,[],[f177]) ).

tcf(c_589,plain,
    select(queue_277,tail) = index_279,
    inference(cnf_transformation,[],[f447]) ).

tcf(c_590,plain,
    s(index_279) = index_282,
    inference(cnf_transformation,[],[f179]) ).

tcf(c_591,plain,
    select(queue_283,tail) = index_285,
    inference(cnf_transformation,[],[f448]) ).

tcf(c_592,plain,
    s(index_285) = index_288,
    inference(cnf_transformation,[],[f181]) ).

tcf(c_593,plain,
    select(queue_289,tail) = index_291,
    inference(cnf_transformation,[],[f449]) ).

tcf(c_594,plain,
    s(index_291) = index_294,
    inference(cnf_transformation,[],[f183]) ).

tcf(c_595,plain,
    select(queue_265,head) = index_297,
    inference(cnf_transformation,[],[f450]) ).

tcf(c_596,plain,
    select(queue_265,tail) = index_299,
    inference(cnf_transformation,[],[f451]) ).

tcf(c_597,plain,
    select(queue_1,tail) = index_3,
    inference(cnf_transformation,[],[f452]) ).

tcf(c_598,plain,
    s(index_27) = index_30,
    inference(cnf_transformation,[],[f187]) ).

tcf(c_599,plain,
    s(index_300) = index_299,
    inference(cnf_transformation,[],[f189]) ).

tcf(c_600,plain,
    select(queue_31,tail) = index_33,
    inference(cnf_transformation,[],[f453]) ).

tcf(c_601,plain,
    s(index_33) = index_36,
    inference(cnf_transformation,[],[f191]) ).

tcf(c_602,plain,
    select(queue_37,tail) = index_39,
    inference(cnf_transformation,[],[f454]) ).

tcf(c_603,plain,
    s(index_39) = index_42,
    inference(cnf_transformation,[],[f193]) ).

tcf(c_604,plain,
    select(queue_43,tail) = index_45,
    inference(cnf_transformation,[],[f455]) ).

tcf(c_605,plain,
    s(index_45) = index_48,
    inference(cnf_transformation,[],[f195]) ).

tcf(c_606,plain,
    select(queue_49,tail) = index_51,
    inference(cnf_transformation,[],[f456]) ).

tcf(c_607,plain,
    s(index_51) = index_54,
    inference(cnf_transformation,[],[f197]) ).

tcf(c_608,plain,
    select(queue_55,tail) = index_57,
    inference(cnf_transformation,[],[f457]) ).

tcf(c_609,plain,
    s(index_3) = index_6,
    inference(cnf_transformation,[],[f199]) ).

tcf(c_610,plain,
    s(index_57) = index_60,
    inference(cnf_transformation,[],[f200]) ).

tcf(c_611,plain,
    select(queue_61,tail) = index_63,
    inference(cnf_transformation,[],[f458]) ).

tcf(c_612,plain,
    s(index_63) = index_66,
    inference(cnf_transformation,[],[f202]) ).

tcf(c_613,plain,
    select(queue_7,tail) = index_69,
    inference(cnf_transformation,[],[f459]) ).

tcf(c_614,plain,
    s(index_69) = index_72,
    inference(cnf_transformation,[],[f204]) ).

tcf(c_615,plain,
    select(queue_67,tail) = index_75,
    inference(cnf_transformation,[],[f460]) ).

tcf(c_616,plain,
    s(index_75) = index_78,
    inference(cnf_transformation,[],[f206]) ).

tcf(c_617,plain,
    select(queue_79,tail) = index_81,
    inference(cnf_transformation,[],[f461]) ).

tcf(c_618,plain,
    s(index_81) = index_84,
    inference(cnf_transformation,[],[f208]) ).

tcf(c_619,plain,
    select(queue_85,tail) = index_87,
    inference(cnf_transformation,[],[f462]) ).

tcf(c_620,plain,
    select(queue_295,tail) = index_9,
    inference(cnf_transformation,[],[f463]) ).

tcf(c_621,plain,
    s(index_87) = index_90,
    inference(cnf_transformation,[],[f211]) ).

tcf(c_622,plain,
    select(queue_91,tail) = index_93,
    inference(cnf_transformation,[],[f464]) ).

tcf(c_623,plain,
    s(index_93) = index_96,
    inference(cnf_transformation,[],[f213]) ).

tcf(c_624,plain,
    select(queue_97,tail) = index_99,
    inference(cnf_transformation,[],[f465]) ).

tcf(c_625,plain,
    store(q,head,index_0) = queue_1,
    inference(cnf_transformation,[],[f215]) ).

tcf(c_626,plain,
    store(queue_97,seq,earray_100) = queue_101,
    inference(cnf_transformation,[],[f466]) ).

tcf(c_627,plain,
    store(queue_101,tail,index_102) = queue_103,
    inference(cnf_transformation,[],[f217]) ).

tcf(c_628,plain,
    store(queue_103,seq,earray_106) = queue_107,
    inference(cnf_transformation,[],[f467]) ).

tcf(c_629,plain,
    store(queue_107,tail,index_108) = queue_109,
    inference(cnf_transformation,[],[f219]) ).

tcf(c_630,plain,
    store(queue_295,seq,earray_10) = queue_11,
    inference(cnf_transformation,[],[f468]) ).

tcf(c_631,plain,
    store(queue_109,seq,earray_112) = queue_113,
    inference(cnf_transformation,[],[f469]) ).

tcf(c_632,plain,
    store(queue_113,tail,index_114) = queue_115,
    inference(cnf_transformation,[],[f222]) ).

tcf(c_633,plain,
    store(queue_115,seq,earray_118) = queue_119,
    inference(cnf_transformation,[],[f470]) ).

tcf(c_634,plain,
    store(queue_119,tail,index_120) = queue_121,
    inference(cnf_transformation,[],[f224]) ).

tcf(c_635,plain,
    store(queue_121,seq,earray_124) = queue_125,
    inference(cnf_transformation,[],[f471]) ).

tcf(c_636,plain,
    store(queue_125,tail,index_126) = queue_127,
    inference(cnf_transformation,[],[f226]) ).

tcf(c_637,plain,
    store(queue_11,tail,index_12) = queue_13,
    inference(cnf_transformation,[],[f227]) ).

tcf(c_638,plain,
    store(queue_127,seq,earray_130) = queue_131,
    inference(cnf_transformation,[],[f472]) ).

tcf(c_639,plain,
    store(queue_131,tail,index_132) = queue_133,
    inference(cnf_transformation,[],[f229]) ).

tcf(c_640,plain,
    store(queue_73,seq,earray_136) = queue_137,
    inference(cnf_transformation,[],[f473]) ).

tcf(c_641,plain,
    store(queue_137,tail,index_138) = queue_139,
    inference(cnf_transformation,[],[f231]) ).

tcf(c_642,plain,
    store(queue_133,seq,earray_142) = queue_143,
    inference(cnf_transformation,[],[f474]) ).

tcf(c_643,plain,
    store(queue_143,tail,index_144) = queue_145,
    inference(cnf_transformation,[],[f233]) ).

tcf(c_644,plain,
    store(queue_145,seq,earray_148) = queue_149,
    inference(cnf_transformation,[],[f475]) ).

tcf(c_645,plain,
    store(queue_149,tail,index_150) = queue_151,
    inference(cnf_transformation,[],[f235]) ).

tcf(c_646,plain,
    store(queue_151,seq,earray_154) = queue_155,
    inference(cnf_transformation,[],[f476]) ).

tcf(c_647,plain,
    store(queue_155,tail,index_156) = queue_157,
    inference(cnf_transformation,[],[f237]) ).

tcf(c_648,plain,
    store(queue_157,seq,earray_160) = queue_161,
    inference(cnf_transformation,[],[f477]) ).

tcf(c_649,plain,
    store(queue_161,tail,index_162) = queue_163,
    inference(cnf_transformation,[],[f239]) ).

tcf(c_650,plain,
    store(queue_163,seq,earray_166) = queue_167,
    inference(cnf_transformation,[],[f478]) ).

tcf(c_651,plain,
    store(queue_167,tail,index_168) = queue_169,
    inference(cnf_transformation,[],[f241]) ).

tcf(c_652,plain,
    store(queue_13,seq,earray_16) = queue_17,
    inference(cnf_transformation,[],[f479]) ).

tcf(c_653,plain,
    store(queue_169,seq,earray_172) = queue_173,
    inference(cnf_transformation,[],[f480]) ).

tcf(c_654,plain,
    store(queue_173,tail,index_174) = queue_175,
    inference(cnf_transformation,[],[f244]) ).

tcf(c_655,plain,
    store(queue_175,seq,earray_178) = queue_179,
    inference(cnf_transformation,[],[f481]) ).

tcf(c_656,plain,
    store(queue_179,tail,index_180) = queue_181,
    inference(cnf_transformation,[],[f246]) ).

tcf(c_657,plain,
    store(queue_181,seq,earray_184) = queue_185,
    inference(cnf_transformation,[],[f482]) ).

tcf(c_658,plain,
    store(queue_185,tail,index_186) = queue_187,
    inference(cnf_transformation,[],[f248]) ).

tcf(c_659,plain,
    store(queue_17,tail,index_18) = queue_19,
    inference(cnf_transformation,[],[f249]) ).

tcf(c_660,plain,
    store(queue_187,seq,earray_190) = queue_191,
    inference(cnf_transformation,[],[f483]) ).

tcf(c_661,plain,
    store(queue_191,tail,index_192) = queue_193,
    inference(cnf_transformation,[],[f251]) ).

tcf(c_662,plain,
    store(queue_193,seq,earray_196) = queue_197,
    inference(cnf_transformation,[],[f484]) ).

tcf(c_663,plain,
    store(queue_197,tail,index_198) = queue_199,
    inference(cnf_transformation,[],[f253]) ).

tcf(c_664,plain,
    store(queue_139,seq,earray_202) = queue_203,
    inference(cnf_transformation,[],[f485]) ).

tcf(c_665,plain,
    store(queue_203,tail,index_204) = queue_205,
    inference(cnf_transformation,[],[f255]) ).

tcf(c_666,plain,
    store(queue_199,seq,earray_208) = queue_209,
    inference(cnf_transformation,[],[f486]) ).

tcf(c_667,plain,
    store(queue_209,tail,index_210) = queue_211,
    inference(cnf_transformation,[],[f257]) ).

tcf(c_668,plain,
    store(queue_211,seq,earray_214) = queue_215,
    inference(cnf_transformation,[],[f487]) ).

tcf(c_669,plain,
    store(queue_215,tail,index_216) = queue_217,
    inference(cnf_transformation,[],[f259]) ).

tcf(c_670,plain,
    store(queue_217,seq,earray_220) = queue_221,
    inference(cnf_transformation,[],[f488]) ).

tcf(c_671,plain,
    store(queue_221,tail,index_222) = queue_223,
    inference(cnf_transformation,[],[f261]) ).

tcf(c_672,plain,
    store(queue_223,seq,earray_226) = queue_227,
    inference(cnf_transformation,[],[f489]) ).

tcf(c_673,plain,
    store(queue_227,tail,index_228) = queue_229,
    inference(cnf_transformation,[],[f263]) ).

tcf(c_674,plain,
    store(queue_19,seq,earray_22) = queue_23,
    inference(cnf_transformation,[],[f490]) ).

tcf(c_675,plain,
    store(queue_229,seq,earray_232) = queue_233,
    inference(cnf_transformation,[],[f491]) ).

tcf(c_676,plain,
    store(queue_233,tail,index_234) = queue_235,
    inference(cnf_transformation,[],[f266]) ).

tcf(c_677,plain,
    store(queue_235,seq,earray_238) = queue_239,
    inference(cnf_transformation,[],[f492]) ).

tcf(c_678,plain,
    store(queue_239,tail,index_240) = queue_241,
    inference(cnf_transformation,[],[f268]) ).

tcf(c_679,plain,
    store(queue_241,seq,earray_244) = queue_245,
    inference(cnf_transformation,[],[f493]) ).

tcf(c_680,plain,
    store(queue_245,tail,index_246) = queue_247,
    inference(cnf_transformation,[],[f270]) ).

tcf(c_681,plain,
    store(queue_23,tail,index_24) = queue_25,
    inference(cnf_transformation,[],[f271]) ).

tcf(c_682,plain,
    store(queue_247,seq,earray_250) = queue_251,
    inference(cnf_transformation,[],[f494]) ).

tcf(c_683,plain,
    store(queue_251,tail,index_252) = queue_253,
    inference(cnf_transformation,[],[f273]) ).

tcf(c_684,plain,
    store(queue_253,seq,earray_256) = queue_257,
    inference(cnf_transformation,[],[f495]) ).

tcf(c_685,plain,
    store(queue_257,tail,index_258) = queue_259,
    inference(cnf_transformation,[],[f275]) ).

tcf(c_686,plain,
    store(queue_259,seq,earray_262) = queue_263,
    inference(cnf_transformation,[],[f496]) ).

tcf(c_687,plain,
    store(queue_263,tail,index_264) = queue_265,
    inference(cnf_transformation,[],[f277]) ).

tcf(c_688,plain,
    store(queue_205,seq,earray_268) = queue_269,
    inference(cnf_transformation,[],[f497]) ).

tcf(c_689,plain,
    store(queue_269,tail,index_270) = queue_271,
    inference(cnf_transformation,[],[f279]) ).

tcf(c_690,plain,
    store(queue_271,seq,earray_274) = queue_275,
    inference(cnf_transformation,[],[f498]) ).

tcf(c_691,plain,
    store(queue_275,tail,index_276) = queue_277,
    inference(cnf_transformation,[],[f281]) ).

tcf(c_692,plain,
    store(queue_277,seq,earray_280) = queue_281,
    inference(cnf_transformation,[],[f499]) ).

tcf(c_693,plain,
    store(queue_281,tail,index_282) = queue_283,
    inference(cnf_transformation,[],[f283]) ).

tcf(c_694,plain,
    store(queue_283,seq,earray_286) = queue_287,
    inference(cnf_transformation,[],[f500]) ).

tcf(c_695,plain,
    store(queue_287,tail,index_288) = queue_289,
    inference(cnf_transformation,[],[f285]) ).

tcf(c_696,plain,
    store(queue_25,seq,earray_28) = queue_29,
    inference(cnf_transformation,[],[f501]) ).

tcf(c_697,plain,
    store(queue_289,seq,earray_292) = queue_293,
    inference(cnf_transformation,[],[f502]) ).

tcf(c_698,plain,
    store(queue_293,tail,index_294) = queue_295,
    inference(cnf_transformation,[],[f288]) ).

tcf(c_699,plain,
    store(queue_29,tail,index_30) = queue_31,
    inference(cnf_transformation,[],[f289]) ).

tcf(c_700,plain,
    store(queue_31,seq,earray_34) = queue_35,
    inference(cnf_transformation,[],[f503]) ).

tcf(c_701,plain,
    store(queue_35,tail,index_36) = queue_37,
    inference(cnf_transformation,[],[f291]) ).

tcf(c_702,plain,
    store(queue_37,seq,earray_40) = queue_41,
    inference(cnf_transformation,[],[f504]) ).

tcf(c_703,plain,
    store(queue_41,tail,index_42) = queue_43,
    inference(cnf_transformation,[],[f293]) ).

tcf(c_704,plain,
    store(queue_43,seq,earray_46) = queue_47,
    inference(cnf_transformation,[],[f505]) ).

tcf(c_705,plain,
    store(queue_47,tail,index_48) = queue_49,
    inference(cnf_transformation,[],[f295]) ).

tcf(c_706,plain,
    store(queue_1,seq,earray_4) = queue_5,
    inference(cnf_transformation,[],[f506]) ).

tcf(c_707,plain,
    store(queue_49,seq,earray_52) = queue_53,
    inference(cnf_transformation,[],[f507]) ).

tcf(c_708,plain,
    store(queue_53,tail,index_54) = queue_55,
    inference(cnf_transformation,[],[f298]) ).

tcf(c_709,plain,
    store(queue_55,seq,earray_58) = queue_59,
    inference(cnf_transformation,[],[f508]) ).

tcf(c_710,plain,
    store(queue_59,tail,index_60) = queue_61,
    inference(cnf_transformation,[],[f300]) ).

tcf(c_711,plain,
    store(queue_61,seq,earray_64) = queue_65,
    inference(cnf_transformation,[],[f509]) ).

tcf(c_712,plain,
    store(queue_65,tail,index_66) = queue_67,
    inference(cnf_transformation,[],[f302]) ).

tcf(c_713,plain,
    store(queue_5,tail,index_6) = queue_7,
    inference(cnf_transformation,[],[f303]) ).

tcf(c_714,plain,
    store(queue_7,seq,earray_70) = queue_71,
    inference(cnf_transformation,[],[f510]) ).

tcf(c_715,plain,
    store(queue_71,tail,index_72) = queue_73,
    inference(cnf_transformation,[],[f305]) ).

tcf(c_716,plain,
    store(queue_67,seq,earray_76) = queue_77,
    inference(cnf_transformation,[],[f511]) ).

tcf(c_717,plain,
    store(queue_77,tail,index_78) = queue_79,
    inference(cnf_transformation,[],[f307]) ).

tcf(c_718,plain,
    store(queue_79,seq,earray_82) = queue_83,
    inference(cnf_transformation,[],[f512]) ).

tcf(c_719,plain,
    store(queue_83,tail,index_84) = queue_85,
    inference(cnf_transformation,[],[f309]) ).

tcf(c_720,plain,
    store(queue_85,seq,earray_88) = queue_89,
    inference(cnf_transformation,[],[f513]) ).

tcf(c_721,plain,
    store(queue_89,tail,index_90) = queue_91,
    inference(cnf_transformation,[],[f311]) ).

tcf(c_722,plain,
    store(queue_91,seq,earray_94) = queue_95,
    inference(cnf_transformation,[],[f514]) ).

tcf(c_723,plain,
    store(queue_95,tail,index_96) = queue_97,
    inference(cnf_transformation,[],[f313]) ).

tcf(c_724,negated_conjecture,
    elem_298 != elem_301,
    inference(cnf_transformation,[],[f364]) ).

tcf(c_1368,negated_conjecture,
    elem_298 != elem_301,
    inference(demodulation,[status(thm)],[c_724]) ).

tcf(c_2038,plain,
    p(index_102) = index_99,
    inference(superposition,[status(thm)],[c_524,c_417]) ).

tcf(c_2039,plain,
    p(index_108) = index_105,
    inference(superposition,[status(thm)],[c_526,c_417]) ).

tcf(c_2040,plain,
    p(index_114) = index_111,
    inference(superposition,[status(thm)],[c_528,c_417]) ).

tcf(c_2041,plain,
    p(index_12) = index_9,
    inference(superposition,[status(thm)],[c_530,c_417]) ).

tcf(c_2045,plain,
    p(index_138) = index_135,
    inference(superposition,[status(thm)],[c_537,c_417]) ).

tcf(c_2052,plain,
    p(index_18) = index_15,
    inference(superposition,[status(thm)],[c_552,c_417]) ).

tcf(c_2063,plain,
    p(index_24) = index_21,
    inference(superposition,[status(thm)],[c_574,c_417]) ).

tcf(c_2069,plain,
    p(index_270) = index_267,
    inference(superposition,[status(thm)],[c_586,c_417]) ).

tcf(c_2075,plain,
    p(index_299) = index_300,
    inference(superposition,[status(thm)],[c_599,c_417]) ).

tcf(c_2080,plain,
    p(index_6) = index_3,
    inference(superposition,[status(thm)],[c_609,c_417]) ).

tcf(c_2083,plain,
    p(index_72) = index_69,
    inference(superposition,[status(thm)],[c_614,c_417]) ).

tcf(c_2401,plain,
    ! [X0: $i] : s(s(X0)) = p(X0),
    inference(superposition,[status(thm)],[c_421,c_417]) ).

tcf(c_2544,plain,
    s(index_108) = p(index_105),
    inference(superposition,[status(thm)],[c_526,c_2401]) ).

tcf(c_2557,plain,
    s(index_18) = p(index_15),
    inference(superposition,[status(thm)],[c_552,c_2401]) ).

tcf(c_2562,plain,
    s(index_204) = p(index_201),
    inference(superposition,[status(thm)],[c_561,c_2401]) ).

tcf(c_2994,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(q,X0) = select(queue_1,X0) ) ),
    inference(superposition,[status(thm)],[c_625,c_413]) ).

tcf(c_2995,plain,
    select(queue_1,head) = index_0,
    inference(superposition,[status(thm)],[c_625,c_412]) ).

tcf(c_2999,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_101,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_626,c_413]) ).

tcf(c_3058,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_101,X0) = select(queue_103,X0) ) ),
    inference(superposition,[status(thm)],[c_627,c_413]) ).

tcf(c_3059,plain,
    select(queue_103,tail) = index_102,
    inference(superposition,[status(thm)],[c_627,c_412]) ).

tcf(c_3060,plain,
    index_105 = index_102,
    inference(light_normalisation,[status(thm)],[c_3059,c_525]) ).

tcf(c_3067,plain,
    p(index_105) = index_99,
    inference(demodulation,[status(thm)],[c_2038,c_3060]) ).

tcf(c_3068,plain,
    s(index_99) = index_105,
    inference(demodulation,[status(thm)],[c_524,c_3060]) ).

tcf(c_3069,plain,
    s(index_108) = index_99,
    inference(demodulation,[status(thm)],[c_2544,c_3067]) ).

tcf(c_3073,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_103,X0) = select(queue_107,X0) ) ),
    inference(superposition,[status(thm)],[c_628,c_413]) ).

tcf(c_3078,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_107,X0) = select(queue_109,X0) ) ),
    inference(superposition,[status(thm)],[c_629,c_413]) ).

tcf(c_3079,plain,
    select(queue_109,tail) = index_108,
    inference(superposition,[status(thm)],[c_629,c_412]) ).

tcf(c_3080,plain,
    index_111 = index_108,
    inference(light_normalisation,[status(thm)],[c_3079,c_527]) ).

tcf(c_3085,plain,
    p(index_111) = index_105,
    inference(demodulation,[status(thm)],[c_2039,c_3080]) ).

tcf(c_3086,plain,
    s(index_105) = index_111,
    inference(demodulation,[status(thm)],[c_526,c_3080]) ).

tcf(c_3089,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_11,X0) = select(queue_295,X0) ) ),
    inference(superposition,[status(thm)],[c_630,c_413]) ).

tcf(c_3100,plain,
    index_99 = index_114,
    inference(light_normalisation,[status(thm)],[c_3069,c_528,c_3080]) ).

tcf(c_3102,plain,
    p(index_99) = index_111,
    inference(demodulation,[status(thm)],[c_2040,c_3100]) ).

tcf(c_3103,plain,
    s(index_111) = index_99,
    inference(demodulation,[status(thm)],[c_528,c_3100]) ).

tcf(c_3121,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_109,X0) = select(queue_113,X0) ) ),
    inference(superposition,[status(thm)],[c_631,c_413]) ).

tcf(c_3126,plain,
    store(queue_113,tail,index_99) = queue_115,
    inference(light_normalisation,[status(thm)],[c_632,c_3100]) ).

tcf(c_3127,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_113,X0) = select(queue_115,X0) ) ),
    inference(superposition,[status(thm)],[c_3126,c_413]) ).

tcf(c_3128,plain,
    select(queue_115,tail) = index_99,
    inference(superposition,[status(thm)],[c_3126,c_412]) ).

tcf(c_3131,plain,
    index_99 = index_117,
    inference(demodulation,[status(thm)],[c_529,c_3128]) ).

tcf(c_3139,plain,
    s(index_99) = index_120,
    inference(demodulation,[status(thm)],[c_531,c_3131]) ).

tcf(c_3140,plain,
    index_105 = index_120,
    inference(light_normalisation,[status(thm)],[c_3139,c_3068]) ).

tcf(c_3145,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_115,X0) = select(queue_119,X0) ) ),
    inference(superposition,[status(thm)],[c_633,c_413]) ).

tcf(c_3150,plain,
    store(queue_119,tail,index_105) = queue_121,
    inference(light_normalisation,[status(thm)],[c_634,c_3140]) ).

tcf(c_3151,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_119,X0) = select(queue_121,X0) ) ),
    inference(superposition,[status(thm)],[c_3150,c_413]) ).

tcf(c_3152,plain,
    select(queue_121,tail) = index_105,
    inference(superposition,[status(thm)],[c_3150,c_412]) ).

tcf(c_3155,plain,
    index_105 = index_123,
    inference(demodulation,[status(thm)],[c_532,c_3152]) ).

tcf(c_3163,plain,
    s(index_105) = index_126,
    inference(demodulation,[status(thm)],[c_533,c_3155]) ).

tcf(c_3164,plain,
    index_111 = index_126,
    inference(light_normalisation,[status(thm)],[c_3163,c_3086]) ).

tcf(c_3188,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_121,X0) = select(queue_125,X0) ) ),
    inference(superposition,[status(thm)],[c_635,c_413]) ).

tcf(c_3193,plain,
    store(queue_125,tail,index_111) = queue_127,
    inference(light_normalisation,[status(thm)],[c_636,c_3164]) ).

tcf(c_3194,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_125,X0) = select(queue_127,X0) ) ),
    inference(superposition,[status(thm)],[c_3193,c_413]) ).

tcf(c_3195,plain,
    select(queue_127,tail) = index_111,
    inference(superposition,[status(thm)],[c_3193,c_412]) ).

tcf(c_3198,plain,
    index_111 = index_129,
    inference(demodulation,[status(thm)],[c_534,c_3195]) ).

tcf(c_3206,plain,
    s(index_111) = index_132,
    inference(demodulation,[status(thm)],[c_535,c_3198]) ).

tcf(c_3207,plain,
    index_99 = index_132,
    inference(light_normalisation,[status(thm)],[c_3206,c_3103]) ).

tcf(c_3212,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_11,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_637,c_413]) ).

tcf(c_3213,plain,
    select(queue_13,tail) = index_12,
    inference(superposition,[status(thm)],[c_637,c_412]) ).

tcf(c_3214,plain,
    index_15 = index_12,
    inference(light_normalisation,[status(thm)],[c_3213,c_541]) ).

tcf(c_3221,plain,
    p(index_15) = index_9,
    inference(demodulation,[status(thm)],[c_2041,c_3214]) ).

tcf(c_3222,plain,
    s(index_9) = index_15,
    inference(demodulation,[status(thm)],[c_530,c_3214]) ).

tcf(c_3223,plain,
    s(index_18) = index_9,
    inference(demodulation,[status(thm)],[c_2557,c_3221]) ).

tcf(c_3227,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_127,X0) = select(queue_131,X0) ) ),
    inference(superposition,[status(thm)],[c_638,c_413]) ).

tcf(c_3252,plain,
    store(queue_131,tail,index_99) = queue_133,
    inference(light_normalisation,[status(thm)],[c_639,c_3207]) ).

tcf(c_3253,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_131,X0) = select(queue_133,X0) ) ),
    inference(superposition,[status(thm)],[c_3252,c_413]) ).

tcf(c_3254,plain,
    select(queue_133,tail) = index_99,
    inference(superposition,[status(thm)],[c_3252,c_412]) ).

tcf(c_3257,plain,
    index_99 = index_141,
    inference(demodulation,[status(thm)],[c_538,c_3254]) ).

tcf(c_3265,plain,
    s(index_99) = index_144,
    inference(demodulation,[status(thm)],[c_539,c_3257]) ).

tcf(c_3266,plain,
    index_105 = index_144,
    inference(light_normalisation,[status(thm)],[c_3265,c_3068]) ).

tcf(c_3271,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_137,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_640,c_413]) ).

tcf(c_3276,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_137,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_641,c_413]) ).

tcf(c_3277,plain,
    select(queue_139,tail) = index_138,
    inference(superposition,[status(thm)],[c_641,c_412]) ).

tcf(c_3278,plain,
    index_201 = index_138,
    inference(light_normalisation,[status(thm)],[c_3277,c_560]) ).

tcf(c_3285,plain,
    p(index_201) = index_135,
    inference(demodulation,[status(thm)],[c_2045,c_3278]) ).

tcf(c_3286,plain,
    s(index_135) = index_201,
    inference(demodulation,[status(thm)],[c_537,c_3278]) ).

tcf(c_3287,plain,
    s(index_204) = index_135,
    inference(demodulation,[status(thm)],[c_2562,c_3285]) ).

tcf(c_3291,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_133,X0) = select(queue_143,X0) ) ),
    inference(superposition,[status(thm)],[c_642,c_413]) ).

tcf(c_3319,plain,
    store(queue_143,tail,index_105) = queue_145,
    inference(light_normalisation,[status(thm)],[c_643,c_3266]) ).

tcf(c_3320,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_143,X0) = select(queue_145,X0) ) ),
    inference(superposition,[status(thm)],[c_3319,c_413]) ).

tcf(c_3321,plain,
    select(queue_145,tail) = index_105,
    inference(superposition,[status(thm)],[c_3319,c_412]) ).

tcf(c_3324,plain,
    index_105 = index_147,
    inference(demodulation,[status(thm)],[c_540,c_3321]) ).

tcf(c_3332,plain,
    s(index_105) = index_150,
    inference(demodulation,[status(thm)],[c_542,c_3324]) ).

tcf(c_3333,plain,
    index_111 = index_150,
    inference(light_normalisation,[status(thm)],[c_3332,c_3086]) ).

tcf(c_3338,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_145,X0) = select(queue_149,X0) ) ),
    inference(superposition,[status(thm)],[c_644,c_413]) ).

tcf(c_3343,plain,
    store(queue_149,tail,index_111) = queue_151,
    inference(light_normalisation,[status(thm)],[c_645,c_3333]) ).

tcf(c_3344,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_149,X0) = select(queue_151,X0) ) ),
    inference(superposition,[status(thm)],[c_3343,c_413]) ).

tcf(c_3345,plain,
    select(queue_151,tail) = index_111,
    inference(superposition,[status(thm)],[c_3343,c_412]) ).

tcf(c_3348,plain,
    index_111 = index_153,
    inference(demodulation,[status(thm)],[c_543,c_3345]) ).

tcf(c_3355,plain,
    s(index_111) = index_156,
    inference(demodulation,[status(thm)],[c_544,c_3348]) ).

tcf(c_3356,plain,
    index_99 = index_156,
    inference(light_normalisation,[status(thm)],[c_3355,c_3103]) ).

tcf(c_3358,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_151,X0) = select(queue_155,X0) ) ),
    inference(superposition,[status(thm)],[c_646,c_413]) ).

tcf(c_3380,plain,
    store(queue_155,tail,index_99) = queue_157,
    inference(light_normalisation,[status(thm)],[c_647,c_3356]) ).

tcf(c_3381,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_155,X0) = select(queue_157,X0) ) ),
    inference(superposition,[status(thm)],[c_3380,c_413]) ).

tcf(c_3382,plain,
    select(queue_157,tail) = index_99,
    inference(superposition,[status(thm)],[c_3380,c_412]) ).

tcf(c_3385,plain,
    index_99 = index_159,
    inference(demodulation,[status(thm)],[c_545,c_3382]) ).

tcf(c_3392,plain,
    s(index_99) = index_162,
    inference(demodulation,[status(thm)],[c_546,c_3385]) ).

tcf(c_3393,plain,
    index_105 = index_162,
    inference(light_normalisation,[status(thm)],[c_3392,c_3068]) ).

tcf(c_3395,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_157,X0) = select(queue_161,X0) ) ),
    inference(superposition,[status(thm)],[c_648,c_413]) ).

tcf(c_3400,plain,
    store(queue_161,tail,index_105) = queue_163,
    inference(light_normalisation,[status(thm)],[c_649,c_3393]) ).

tcf(c_3401,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_161,X0) = select(queue_163,X0) ) ),
    inference(superposition,[status(thm)],[c_3400,c_413]) ).

tcf(c_3402,plain,
    select(queue_163,tail) = index_105,
    inference(superposition,[status(thm)],[c_3400,c_412]) ).

tcf(c_3405,plain,
    index_105 = index_165,
    inference(demodulation,[status(thm)],[c_547,c_3402]) ).

tcf(c_3412,plain,
    s(index_105) = index_168,
    inference(demodulation,[status(thm)],[c_548,c_3405]) ).

tcf(c_3413,plain,
    index_111 = index_168,
    inference(light_normalisation,[status(thm)],[c_3412,c_3086]) ).

tcf(c_3415,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_163,X0) = select(queue_167,X0) ) ),
    inference(superposition,[status(thm)],[c_650,c_413]) ).

tcf(c_3432,plain,
    store(queue_167,tail,index_111) = queue_169,
    inference(light_normalisation,[status(thm)],[c_651,c_3413]) ).

tcf(c_3433,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_167,X0) = select(queue_169,X0) ) ),
    inference(superposition,[status(thm)],[c_3432,c_413]) ).

tcf(c_3434,plain,
    select(queue_169,tail) = index_111,
    inference(superposition,[status(thm)],[c_3432,c_412]) ).

tcf(c_3437,plain,
    index_111 = index_171,
    inference(demodulation,[status(thm)],[c_549,c_3434]) ).

tcf(c_3444,plain,
    s(index_111) = index_174,
    inference(demodulation,[status(thm)],[c_550,c_3437]) ).

tcf(c_3445,plain,
    index_99 = index_174,
    inference(light_normalisation,[status(thm)],[c_3444,c_3103]) ).

tcf(c_3447,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_13,X0) = select(queue_17,X0) ) ),
    inference(superposition,[status(thm)],[c_652,c_413]) ).

tcf(c_3452,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_169,X0) = select(queue_173,X0) ) ),
    inference(superposition,[status(thm)],[c_653,c_413]) ).

tcf(c_3457,plain,
    store(queue_173,tail,index_99) = queue_175,
    inference(light_normalisation,[status(thm)],[c_654,c_3445]) ).

tcf(c_3458,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_173,X0) = select(queue_175,X0) ) ),
    inference(superposition,[status(thm)],[c_3457,c_413]) ).

tcf(c_3459,plain,
    select(queue_175,tail) = index_99,
    inference(superposition,[status(thm)],[c_3457,c_412]) ).

tcf(c_3462,plain,
    index_99 = index_177,
    inference(demodulation,[status(thm)],[c_551,c_3459]) ).

tcf(c_3469,plain,
    s(index_99) = index_180,
    inference(demodulation,[status(thm)],[c_553,c_3462]) ).

tcf(c_3470,plain,
    index_105 = index_180,
    inference(light_normalisation,[status(thm)],[c_3469,c_3068]) ).

tcf(c_3485,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_175,X0) = select(queue_179,X0) ) ),
    inference(superposition,[status(thm)],[c_655,c_413]) ).

tcf(c_3490,plain,
    store(queue_179,tail,index_105) = queue_181,
    inference(light_normalisation,[status(thm)],[c_656,c_3470]) ).

tcf(c_3491,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_179,X0) = select(queue_181,X0) ) ),
    inference(superposition,[status(thm)],[c_3490,c_413]) ).

tcf(c_3492,plain,
    select(queue_181,tail) = index_105,
    inference(superposition,[status(thm)],[c_3490,c_412]) ).

tcf(c_3495,plain,
    index_105 = index_183,
    inference(demodulation,[status(thm)],[c_554,c_3492]) ).

tcf(c_3502,plain,
    s(index_105) = index_186,
    inference(demodulation,[status(thm)],[c_555,c_3495]) ).

tcf(c_3503,plain,
    index_111 = index_186,
    inference(light_normalisation,[status(thm)],[c_3502,c_3086]) ).

tcf(c_3505,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_181,X0) = select(queue_185,X0) ) ),
    inference(superposition,[status(thm)],[c_657,c_413]) ).

tcf(c_3510,plain,
    store(queue_185,tail,index_111) = queue_187,
    inference(light_normalisation,[status(thm)],[c_658,c_3503]) ).

tcf(c_3511,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_185,X0) = select(queue_187,X0) ) ),
    inference(superposition,[status(thm)],[c_3510,c_413]) ).

tcf(c_3512,plain,
    select(queue_187,tail) = index_111,
    inference(superposition,[status(thm)],[c_3510,c_412]) ).

tcf(c_3515,plain,
    index_111 = index_189,
    inference(demodulation,[status(thm)],[c_556,c_3512]) ).

tcf(c_3522,plain,
    s(index_111) = index_192,
    inference(demodulation,[status(thm)],[c_557,c_3515]) ).

tcf(c_3523,plain,
    index_99 = index_192,
    inference(light_normalisation,[status(thm)],[c_3522,c_3103]) ).

tcf(c_3538,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_17,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_659,c_413]) ).

tcf(c_3539,plain,
    select(queue_19,tail) = index_18,
    inference(superposition,[status(thm)],[c_659,c_412]) ).

tcf(c_3540,plain,
    index_21 = index_18,
    inference(light_normalisation,[status(thm)],[c_3539,c_563]) ).

tcf(c_3546,plain,
    s(index_21) = index_9,
    inference(demodulation,[status(thm)],[c_3223,c_3540]) ).

tcf(c_3548,plain,
    p(index_21) = index_15,
    inference(demodulation,[status(thm)],[c_2052,c_3540]) ).

tcf(c_3552,plain,
    index_9 = index_24,
    inference(demodulation,[status(thm)],[c_574,c_3546]) ).

tcf(c_3554,plain,
    p(index_9) = index_21,
    inference(demodulation,[status(thm)],[c_2063,c_3552]) ).

tcf(c_3555,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_187,X0) = select(queue_191,X0) ) ),
    inference(superposition,[status(thm)],[c_660,c_413]) ).

tcf(c_3560,plain,
    store(queue_191,tail,index_99) = queue_193,
    inference(light_normalisation,[status(thm)],[c_661,c_3523]) ).

tcf(c_3561,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_191,X0) = select(queue_193,X0) ) ),
    inference(superposition,[status(thm)],[c_3560,c_413]) ).

tcf(c_3562,plain,
    select(queue_193,tail) = index_99,
    inference(superposition,[status(thm)],[c_3560,c_412]) ).

tcf(c_3565,plain,
    index_99 = index_195,
    inference(demodulation,[status(thm)],[c_558,c_3562]) ).

tcf(c_3572,plain,
    s(index_99) = index_198,
    inference(demodulation,[status(thm)],[c_559,c_3565]) ).

tcf(c_3573,plain,
    index_105 = index_198,
    inference(light_normalisation,[status(thm)],[c_3572,c_3068]) ).

tcf(c_3575,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_193,X0) = select(queue_197,X0) ) ),
    inference(superposition,[status(thm)],[c_662,c_413]) ).

tcf(c_3605,plain,
    store(queue_197,tail,index_105) = queue_199,
    inference(light_normalisation,[status(thm)],[c_663,c_3573]) ).

tcf(c_3606,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_197,X0) = select(queue_199,X0) ) ),
    inference(superposition,[status(thm)],[c_3605,c_413]) ).

tcf(c_3607,plain,
    select(queue_199,tail) = index_105,
    inference(superposition,[status(thm)],[c_3605,c_412]) ).

tcf(c_3610,plain,
    index_105 = index_207,
    inference(demodulation,[status(thm)],[c_562,c_3607]) ).

tcf(c_3617,plain,
    s(index_105) = index_210,
    inference(demodulation,[status(thm)],[c_564,c_3610]) ).

tcf(c_3618,plain,
    index_111 = index_210,
    inference(light_normalisation,[status(thm)],[c_3617,c_3086]) ).

tcf(c_3620,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_139,X0) = select(queue_203,X0) ) ),
    inference(superposition,[status(thm)],[c_664,c_413]) ).

tcf(c_3625,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_203,X0) = select(queue_205,X0) ) ),
    inference(superposition,[status(thm)],[c_665,c_413]) ).

tcf(c_3626,plain,
    select(queue_205,tail) = index_204,
    inference(superposition,[status(thm)],[c_665,c_412]) ).

tcf(c_3627,plain,
    index_267 = index_204,
    inference(light_normalisation,[status(thm)],[c_3626,c_584]) ).

tcf(c_3633,plain,
    s(index_267) = index_135,
    inference(demodulation,[status(thm)],[c_3287,c_3627]) ).

tcf(c_3636,plain,
    s(index_201) = index_267,
    inference(demodulation,[status(thm)],[c_561,c_3627]) ).

tcf(c_3639,plain,
    index_135 = index_270,
    inference(demodulation,[status(thm)],[c_586,c_3633]) ).

tcf(c_3641,plain,
    p(index_135) = index_267,
    inference(demodulation,[status(thm)],[c_2069,c_3639]) ).

tcf(c_3642,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_199,X0) = select(queue_209,X0) ) ),
    inference(superposition,[status(thm)],[c_666,c_413]) ).

tcf(c_3671,plain,
    store(queue_209,tail,index_111) = queue_211,
    inference(light_normalisation,[status(thm)],[c_667,c_3618]) ).

tcf(c_3672,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_209,X0) = select(queue_211,X0) ) ),
    inference(superposition,[status(thm)],[c_3671,c_413]) ).

tcf(c_3673,plain,
    select(queue_211,tail) = index_111,
    inference(superposition,[status(thm)],[c_3671,c_412]) ).

tcf(c_3676,plain,
    index_111 = index_213,
    inference(demodulation,[status(thm)],[c_565,c_3673]) ).

tcf(c_3683,plain,
    s(index_111) = index_216,
    inference(demodulation,[status(thm)],[c_566,c_3676]) ).

tcf(c_3684,plain,
    index_99 = index_216,
    inference(light_normalisation,[status(thm)],[c_3683,c_3103]) ).

tcf(c_3686,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_211,X0) = select(queue_215,X0) ) ),
    inference(superposition,[status(thm)],[c_668,c_413]) ).

tcf(c_3691,plain,
    store(queue_215,tail,index_99) = queue_217,
    inference(light_normalisation,[status(thm)],[c_669,c_3684]) ).

tcf(c_3692,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_215,X0) = select(queue_217,X0) ) ),
    inference(superposition,[status(thm)],[c_3691,c_413]) ).

tcf(c_3693,plain,
    select(queue_217,tail) = index_99,
    inference(superposition,[status(thm)],[c_3691,c_412]) ).

tcf(c_3696,plain,
    index_99 = index_219,
    inference(demodulation,[status(thm)],[c_567,c_3693]) ).

tcf(c_3703,plain,
    s(index_99) = index_222,
    inference(demodulation,[status(thm)],[c_568,c_3696]) ).

tcf(c_3704,plain,
    index_105 = index_222,
    inference(light_normalisation,[status(thm)],[c_3703,c_3068]) ).

tcf(c_3706,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_217,X0) = select(queue_221,X0) ) ),
    inference(superposition,[status(thm)],[c_670,c_413]) ).

tcf(c_3727,plain,
    store(queue_221,tail,index_105) = queue_223,
    inference(light_normalisation,[status(thm)],[c_671,c_3704]) ).

tcf(c_3728,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_221,X0) = select(queue_223,X0) ) ),
    inference(superposition,[status(thm)],[c_3727,c_413]) ).

tcf(c_3729,plain,
    select(queue_223,tail) = index_105,
    inference(superposition,[status(thm)],[c_3727,c_412]) ).

tcf(c_3732,plain,
    index_105 = index_225,
    inference(demodulation,[status(thm)],[c_569,c_3729]) ).

tcf(c_3739,plain,
    s(index_105) = index_228,
    inference(demodulation,[status(thm)],[c_570,c_3732]) ).

tcf(c_3740,plain,
    index_111 = index_228,
    inference(light_normalisation,[status(thm)],[c_3739,c_3086]) ).

tcf(c_3742,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_223,X0) = select(queue_227,X0) ) ),
    inference(superposition,[status(thm)],[c_672,c_413]) ).

tcf(c_3747,plain,
    store(queue_227,tail,index_111) = queue_229,
    inference(light_normalisation,[status(thm)],[c_673,c_3740]) ).

tcf(c_3748,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_227,X0) = select(queue_229,X0) ) ),
    inference(superposition,[status(thm)],[c_3747,c_413]) ).

tcf(c_3749,plain,
    select(queue_229,tail) = index_111,
    inference(superposition,[status(thm)],[c_3747,c_412]) ).

tcf(c_3752,plain,
    index_111 = index_231,
    inference(demodulation,[status(thm)],[c_571,c_3749]) ).

tcf(c_3759,plain,
    s(index_111) = index_234,
    inference(demodulation,[status(thm)],[c_572,c_3752]) ).

tcf(c_3760,plain,
    index_99 = index_234,
    inference(light_normalisation,[status(thm)],[c_3759,c_3103]) ).

tcf(c_3762,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_19,X0) = select(queue_23,X0) ) ),
    inference(superposition,[status(thm)],[c_674,c_413]) ).

tcf(c_3782,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_229,X0) = select(queue_233,X0) ) ),
    inference(superposition,[status(thm)],[c_675,c_413]) ).

tcf(c_3787,plain,
    store(queue_233,tail,index_99) = queue_235,
    inference(light_normalisation,[status(thm)],[c_676,c_3760]) ).

tcf(c_3788,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_233,X0) = select(queue_235,X0) ) ),
    inference(superposition,[status(thm)],[c_3787,c_413]) ).

tcf(c_3789,plain,
    select(queue_235,tail) = index_99,
    inference(superposition,[status(thm)],[c_3787,c_412]) ).

tcf(c_3792,plain,
    index_99 = index_237,
    inference(demodulation,[status(thm)],[c_573,c_3789]) ).

tcf(c_3799,plain,
    s(index_99) = index_240,
    inference(demodulation,[status(thm)],[c_575,c_3792]) ).

tcf(c_3800,plain,
    index_105 = index_240,
    inference(light_normalisation,[status(thm)],[c_3799,c_3068]) ).

tcf(c_3802,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_235,X0) = select(queue_239,X0) ) ),
    inference(superposition,[status(thm)],[c_677,c_413]) ).

tcf(c_3807,plain,
    store(queue_239,tail,index_105) = queue_241,
    inference(light_normalisation,[status(thm)],[c_678,c_3800]) ).

tcf(c_3808,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_239,X0) = select(queue_241,X0) ) ),
    inference(superposition,[status(thm)],[c_3807,c_413]) ).

tcf(c_3809,plain,
    select(queue_241,tail) = index_105,
    inference(superposition,[status(thm)],[c_3807,c_412]) ).

tcf(c_3812,plain,
    index_105 = index_243,
    inference(demodulation,[status(thm)],[c_576,c_3809]) ).

tcf(c_3819,plain,
    s(index_105) = index_246,
    inference(demodulation,[status(thm)],[c_577,c_3812]) ).

tcf(c_3820,plain,
    index_111 = index_246,
    inference(light_normalisation,[status(thm)],[c_3819,c_3086]) ).

tcf(c_3835,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_241,X0) = select(queue_245,X0) ) ),
    inference(superposition,[status(thm)],[c_679,c_413]) ).

tcf(c_3840,plain,
    store(queue_245,tail,index_111) = queue_247,
    inference(light_normalisation,[status(thm)],[c_680,c_3820]) ).

tcf(c_3841,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_245,X0) = select(queue_247,X0) ) ),
    inference(superposition,[status(thm)],[c_3840,c_413]) ).

tcf(c_3842,plain,
    select(queue_247,tail) = index_111,
    inference(superposition,[status(thm)],[c_3840,c_412]) ).

tcf(c_3845,plain,
    index_111 = index_249,
    inference(demodulation,[status(thm)],[c_578,c_3842]) ).

tcf(c_3852,plain,
    s(index_111) = index_252,
    inference(demodulation,[status(thm)],[c_579,c_3845]) ).

tcf(c_3853,plain,
    index_99 = index_252,
    inference(light_normalisation,[status(thm)],[c_3852,c_3103]) ).

tcf(c_3855,plain,
    store(queue_23,tail,index_9) = queue_25,
    inference(light_normalisation,[status(thm)],[c_681,c_3552]) ).

tcf(c_3856,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_23,X0) = select(queue_25,X0) ) ),
    inference(superposition,[status(thm)],[c_3855,c_413]) ).

tcf(c_3857,plain,
    select(queue_25,tail) = index_9,
    inference(superposition,[status(thm)],[c_3855,c_412]) ).

tcf(c_3860,plain,
    index_9 = index_27,
    inference(demodulation,[status(thm)],[c_585,c_3857]) ).

tcf(c_3867,plain,
    s(index_9) = index_30,
    inference(demodulation,[status(thm)],[c_598,c_3860]) ).

tcf(c_3868,plain,
    index_15 = index_30,
    inference(light_normalisation,[status(thm)],[c_3867,c_3222]) ).

tcf(c_3870,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_247,X0) = select(queue_251,X0) ) ),
    inference(superposition,[status(thm)],[c_682,c_413]) ).

tcf(c_3887,plain,
    store(queue_251,tail,index_99) = queue_253,
    inference(light_normalisation,[status(thm)],[c_683,c_3853]) ).

tcf(c_3888,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_251,X0) = select(queue_253,X0) ) ),
    inference(superposition,[status(thm)],[c_3887,c_413]) ).

tcf(c_3889,plain,
    select(queue_253,tail) = index_99,
    inference(superposition,[status(thm)],[c_3887,c_412]) ).

tcf(c_3892,plain,
    index_99 = index_255,
    inference(demodulation,[status(thm)],[c_580,c_3889]) ).

tcf(c_3899,plain,
    s(index_99) = index_258,
    inference(demodulation,[status(thm)],[c_581,c_3892]) ).

tcf(c_3900,plain,
    index_105 = index_258,
    inference(light_normalisation,[status(thm)],[c_3899,c_3068]) ).

tcf(c_3902,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_253,X0) = select(queue_257,X0) ) ),
    inference(superposition,[status(thm)],[c_684,c_413]) ).

tcf(c_3907,plain,
    store(queue_257,tail,index_105) = queue_259,
    inference(light_normalisation,[status(thm)],[c_685,c_3900]) ).

tcf(c_3908,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_257,X0) = select(queue_259,X0) ) ),
    inference(superposition,[status(thm)],[c_3907,c_413]) ).

tcf(c_3909,plain,
    select(queue_259,tail) = index_105,
    inference(superposition,[status(thm)],[c_3907,c_412]) ).

tcf(c_3912,plain,
    index_105 = index_261,
    inference(demodulation,[status(thm)],[c_582,c_3909]) ).

tcf(c_3919,plain,
    s(index_105) = index_264,
    inference(demodulation,[status(thm)],[c_583,c_3912]) ).

tcf(c_3920,plain,
    index_111 = index_264,
    inference(light_normalisation,[status(thm)],[c_3919,c_3086]) ).

tcf(c_3922,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_259,X0) = select(queue_263,X0) ) ),
    inference(superposition,[status(thm)],[c_686,c_413]) ).

tcf(c_3940,plain,
    store(queue_263,tail,index_111) = queue_265,
    inference(light_normalisation,[status(thm)],[c_687,c_3920]) ).

tcf(c_3941,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_263,X0) = select(queue_265,X0) ) ),
    inference(superposition,[status(thm)],[c_3940,c_413]) ).

tcf(c_3942,plain,
    select(queue_265,tail) = index_111,
    inference(superposition,[status(thm)],[c_3940,c_412]) ).

tcf(c_3945,plain,
    index_111 = index_299,
    inference(demodulation,[status(thm)],[c_596,c_3942]) ).

tcf(c_3949,plain,
    p(index_111) = index_300,
    inference(demodulation,[status(thm)],[c_2075,c_3945]) ).

tcf(c_3951,plain,
    index_105 = index_300,
    inference(light_normalisation,[status(thm)],[c_3949,c_3085]) ).

tcf(c_3952,plain,
    select(earray_296,index_105) = elem_301,
    inference(demodulation,[status(thm)],[c_522,c_3951]) ).

tcf(c_3955,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_205,X0) = select(queue_269,X0) ) ),
    inference(superposition,[status(thm)],[c_688,c_413]) ).

tcf(c_3960,plain,
    store(queue_269,tail,index_135) = queue_271,
    inference(light_normalisation,[status(thm)],[c_689,c_3639]) ).

tcf(c_3961,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_269,X0) = select(queue_271,X0) ) ),
    inference(superposition,[status(thm)],[c_3960,c_413]) ).

tcf(c_3962,plain,
    select(queue_271,tail) = index_135,
    inference(superposition,[status(thm)],[c_3960,c_412]) ).

tcf(c_3965,plain,
    index_135 = index_273,
    inference(demodulation,[status(thm)],[c_587,c_3962]) ).

tcf(c_3972,plain,
    s(index_135) = index_276,
    inference(demodulation,[status(thm)],[c_588,c_3965]) ).

tcf(c_3973,plain,
    index_201 = index_276,
    inference(light_normalisation,[status(thm)],[c_3972,c_3286]) ).

tcf(c_3975,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_271,X0) = select(queue_275,X0) ) ),
    inference(superposition,[status(thm)],[c_690,c_413]) ).

tcf(c_3987,plain,
    store(queue_275,tail,index_201) = queue_277,
    inference(light_normalisation,[status(thm)],[c_691,c_3973]) ).

tcf(c_3988,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_275,X0) = select(queue_277,X0) ) ),
    inference(superposition,[status(thm)],[c_3987,c_413]) ).

tcf(c_3989,plain,
    select(queue_277,tail) = index_201,
    inference(superposition,[status(thm)],[c_3987,c_412]) ).

tcf(c_3992,plain,
    index_201 = index_279,
    inference(demodulation,[status(thm)],[c_589,c_3989]) ).

tcf(c_3999,plain,
    s(index_201) = index_282,
    inference(demodulation,[status(thm)],[c_590,c_3992]) ).

tcf(c_4000,plain,
    index_267 = index_282,
    inference(light_normalisation,[status(thm)],[c_3999,c_3636]) ).

tcf(c_4002,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_277,X0) = select(queue_281,X0) ) ),
    inference(superposition,[status(thm)],[c_692,c_413]) ).

tcf(c_4007,plain,
    store(queue_281,tail,index_267) = queue_283,
    inference(light_normalisation,[status(thm)],[c_693,c_4000]) ).

tcf(c_4008,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_281,X0) = select(queue_283,X0) ) ),
    inference(superposition,[status(thm)],[c_4007,c_413]) ).

tcf(c_4009,plain,
    select(queue_283,tail) = index_267,
    inference(superposition,[status(thm)],[c_4007,c_412]) ).

tcf(c_4012,plain,
    index_267 = index_285,
    inference(demodulation,[status(thm)],[c_591,c_4009]) ).

tcf(c_4019,plain,
    s(index_267) = index_288,
    inference(demodulation,[status(thm)],[c_592,c_4012]) ).

tcf(c_4020,plain,
    index_135 = index_288,
    inference(light_normalisation,[status(thm)],[c_4019,c_3633]) ).

tcf(c_4022,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_283,X0) = select(queue_287,X0) ) ),
    inference(superposition,[status(thm)],[c_694,c_413]) ).

tcf(c_4040,plain,
    store(queue_287,tail,index_135) = queue_289,
    inference(light_normalisation,[status(thm)],[c_695,c_4020]) ).

tcf(c_4041,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_287,X0) = select(queue_289,X0) ) ),
    inference(superposition,[status(thm)],[c_4040,c_413]) ).

tcf(c_4042,plain,
    select(queue_289,tail) = index_135,
    inference(superposition,[status(thm)],[c_4040,c_412]) ).

tcf(c_4045,plain,
    index_135 = index_291,
    inference(demodulation,[status(thm)],[c_593,c_4042]) ).

tcf(c_4052,plain,
    s(index_135) = index_294,
    inference(demodulation,[status(thm)],[c_594,c_4045]) ).

tcf(c_4053,plain,
    index_201 = index_294,
    inference(light_normalisation,[status(thm)],[c_4052,c_3286]) ).

tcf(c_4055,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_25,X0) = select(queue_29,X0) ) ),
    inference(superposition,[status(thm)],[c_696,c_413]) ).

tcf(c_4060,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_289,X0) = select(queue_293,X0) ) ),
    inference(superposition,[status(thm)],[c_697,c_413]) ).

tcf(c_4065,plain,
    store(queue_293,tail,index_201) = queue_295,
    inference(light_normalisation,[status(thm)],[c_698,c_4053]) ).

tcf(c_4066,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_293,X0) = select(queue_295,X0) ) ),
    inference(superposition,[status(thm)],[c_4065,c_413]) ).

tcf(c_4067,plain,
    select(queue_295,tail) = index_201,
    inference(superposition,[status(thm)],[c_4065,c_412]) ).

tcf(c_4068,plain,
    index_9 = index_201,
    inference(light_normalisation,[status(thm)],[c_4067,c_620]) ).

tcf(c_4081,plain,
    p(index_9) = index_135,
    inference(demodulation,[status(thm)],[c_3285,c_4068]) ).

tcf(c_4086,plain,
    index_135 = index_21,
    inference(demodulation,[status(thm)],[c_3554,c_4081]) ).

tcf(c_4090,plain,
    p(index_135) = index_15,
    inference(demodulation,[status(thm)],[c_3548,c_4086]) ).

tcf(c_4091,plain,
    s(index_135) = index_9,
    inference(demodulation,[status(thm)],[c_3546,c_4086]) ).

tcf(c_4096,plain,
    index_15 = index_267,
    inference(demodulation,[status(thm)],[c_3641,c_4090]) ).

tcf(c_4101,plain,
    s(index_15) = index_135,
    inference(demodulation,[status(thm)],[c_3633,c_4096]) ).

tcf(c_4118,plain,
    store(queue_29,tail,index_15) = queue_31,
    inference(light_normalisation,[status(thm)],[c_699,c_3868]) ).

tcf(c_4119,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_29,X0) = select(queue_31,X0) ) ),
    inference(superposition,[status(thm)],[c_4118,c_413]) ).

tcf(c_4120,plain,
    select(queue_31,tail) = index_15,
    inference(superposition,[status(thm)],[c_4118,c_412]) ).

tcf(c_4123,plain,
    index_15 = index_33,
    inference(demodulation,[status(thm)],[c_600,c_4120]) ).

tcf(c_4130,plain,
    s(index_15) = index_36,
    inference(demodulation,[status(thm)],[c_601,c_4123]) ).

tcf(c_4131,plain,
    index_135 = index_36,
    inference(light_normalisation,[status(thm)],[c_4130,c_4101]) ).

tcf(c_4133,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_31,X0) = select(queue_35,X0) ) ),
    inference(superposition,[status(thm)],[c_700,c_413]) ).

tcf(c_4138,plain,
    store(queue_35,tail,index_135) = queue_37,
    inference(light_normalisation,[status(thm)],[c_701,c_4131]) ).

tcf(c_4139,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_35,X0) = select(queue_37,X0) ) ),
    inference(superposition,[status(thm)],[c_4138,c_413]) ).

tcf(c_4140,plain,
    select(queue_37,tail) = index_135,
    inference(superposition,[status(thm)],[c_4138,c_412]) ).

tcf(c_4143,plain,
    index_135 = index_39,
    inference(demodulation,[status(thm)],[c_602,c_4140]) ).

tcf(c_4150,plain,
    s(index_135) = index_42,
    inference(demodulation,[status(thm)],[c_603,c_4143]) ).

tcf(c_4151,plain,
    index_9 = index_42,
    inference(light_normalisation,[status(thm)],[c_4150,c_4091]) ).

tcf(c_4153,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_37,X0) = select(queue_41,X0) ) ),
    inference(superposition,[status(thm)],[c_702,c_413]) ).

tcf(c_4178,plain,
    store(queue_41,tail,index_9) = queue_43,
    inference(light_normalisation,[status(thm)],[c_703,c_4151]) ).

tcf(c_4179,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_41,X0) = select(queue_43,X0) ) ),
    inference(superposition,[status(thm)],[c_4178,c_413]) ).

tcf(c_4180,plain,
    select(queue_43,tail) = index_9,
    inference(superposition,[status(thm)],[c_4178,c_412]) ).

tcf(c_4183,plain,
    index_9 = index_45,
    inference(demodulation,[status(thm)],[c_604,c_4180]) ).

tcf(c_4190,plain,
    s(index_9) = index_48,
    inference(demodulation,[status(thm)],[c_605,c_4183]) ).

tcf(c_4191,plain,
    index_15 = index_48,
    inference(light_normalisation,[status(thm)],[c_4190,c_3222]) ).

tcf(c_4193,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_43,X0) = select(queue_47,X0) ) ),
    inference(superposition,[status(thm)],[c_704,c_413]) ).

tcf(c_4198,plain,
    store(queue_47,tail,index_15) = queue_49,
    inference(light_normalisation,[status(thm)],[c_705,c_4191]) ).

tcf(c_4199,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_47,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_4198,c_413]) ).

tcf(c_4200,plain,
    select(queue_49,tail) = index_15,
    inference(superposition,[status(thm)],[c_4198,c_412]) ).

tcf(c_4203,plain,
    index_15 = index_51,
    inference(demodulation,[status(thm)],[c_606,c_4200]) ).

tcf(c_4210,plain,
    s(index_15) = index_54,
    inference(demodulation,[status(thm)],[c_607,c_4203]) ).

tcf(c_4211,plain,
    index_135 = index_54,
    inference(light_normalisation,[status(thm)],[c_4210,c_4101]) ).

tcf(c_4213,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_1,X0) = select(queue_5,X0) ) ),
    inference(superposition,[status(thm)],[c_706,c_413]) ).

tcf(c_4238,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_49,X0) = select(queue_53,X0) ) ),
    inference(superposition,[status(thm)],[c_707,c_413]) ).

tcf(c_4243,plain,
    store(queue_53,tail,index_135) = queue_55,
    inference(light_normalisation,[status(thm)],[c_708,c_4211]) ).

tcf(c_4244,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_53,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_4243,c_413]) ).

tcf(c_4245,plain,
    select(queue_55,tail) = index_135,
    inference(superposition,[status(thm)],[c_4243,c_412]) ).

tcf(c_4248,plain,
    index_135 = index_57,
    inference(demodulation,[status(thm)],[c_608,c_4245]) ).

tcf(c_4255,plain,
    s(index_135) = index_60,
    inference(demodulation,[status(thm)],[c_610,c_4248]) ).

tcf(c_4256,plain,
    index_9 = index_60,
    inference(light_normalisation,[status(thm)],[c_4255,c_4091]) ).

tcf(c_4258,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_55,X0) = select(queue_59,X0) ) ),
    inference(superposition,[status(thm)],[c_709,c_413]) ).

tcf(c_4263,plain,
    store(queue_59,tail,index_9) = queue_61,
    inference(light_normalisation,[status(thm)],[c_710,c_4256]) ).

tcf(c_4264,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_59,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_4263,c_413]) ).

tcf(c_4265,plain,
    select(queue_61,tail) = index_9,
    inference(superposition,[status(thm)],[c_4263,c_412]) ).

tcf(c_4268,plain,
    index_9 = index_63,
    inference(demodulation,[status(thm)],[c_611,c_4265]) ).

tcf(c_4274,plain,
    s(index_9) = index_66,
    inference(demodulation,[status(thm)],[c_612,c_4268]) ).

tcf(c_4275,plain,
    index_15 = index_66,
    inference(light_normalisation,[status(thm)],[c_4274,c_3222]) ).

tcf(c_4292,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_61,X0) = select(queue_65,X0) ) ),
    inference(superposition,[status(thm)],[c_711,c_413]) ).

tcf(c_4297,plain,
    store(queue_65,tail,index_15) = queue_67,
    inference(light_normalisation,[status(thm)],[c_712,c_4275]) ).

tcf(c_4298,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_65,X0) = select(queue_67,X0) ) ),
    inference(superposition,[status(thm)],[c_4297,c_413]) ).

tcf(c_4299,plain,
    select(queue_67,tail) = index_15,
    inference(superposition,[status(thm)],[c_4297,c_412]) ).

tcf(c_4302,plain,
    index_15 = index_75,
    inference(demodulation,[status(thm)],[c_615,c_4299]) ).

tcf(c_4308,plain,
    s(index_15) = index_78,
    inference(demodulation,[status(thm)],[c_616,c_4302]) ).

tcf(c_4309,plain,
    index_135 = index_78,
    inference(light_normalisation,[status(thm)],[c_4308,c_4101]) ).

tcf(c_4311,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_5,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_713,c_413]) ).

tcf(c_4312,plain,
    select(queue_7,tail) = index_6,
    inference(superposition,[status(thm)],[c_713,c_412]) ).

tcf(c_4313,plain,
    index_69 = index_6,
    inference(light_normalisation,[status(thm)],[c_4312,c_613]) ).

tcf(c_4320,plain,
    p(index_69) = index_3,
    inference(demodulation,[status(thm)],[c_2080,c_4313]) ).

tcf(c_4326,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_7,X0) = select(queue_71,X0) ) ),
    inference(superposition,[status(thm)],[c_714,c_413]) ).

tcf(c_4349,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_71,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_715,c_413]) ).

tcf(c_4350,plain,
    select(queue_73,tail) = index_72,
    inference(superposition,[status(thm)],[c_715,c_412]) ).

tcf(c_4351,plain,
    index_135 = index_72,
    inference(light_normalisation,[status(thm)],[c_4350,c_536]) ).

tcf(c_4356,plain,
    p(index_135) = index_69,
    inference(demodulation,[status(thm)],[c_2083,c_4351]) ).

tcf(c_4358,plain,
    index_15 = index_69,
    inference(light_normalisation,[status(thm)],[c_4356,c_4090]) ).

tcf(c_4359,plain,
    p(index_15) = index_3,
    inference(demodulation,[status(thm)],[c_4320,c_4358]) ).

tcf(c_4363,plain,
    index_9 = index_3,
    inference(light_normalisation,[status(thm)],[c_4359,c_3221]) ).

tcf(c_4366,plain,
    select(queue_1,tail) = index_9,
    inference(demodulation,[status(thm)],[c_597,c_4363]) ).

tcf(c_4367,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_67,X0) = select(queue_77,X0) ) ),
    inference(superposition,[status(thm)],[c_716,c_413]) ).

tcf(c_4372,plain,
    store(queue_77,tail,index_135) = queue_79,
    inference(light_normalisation,[status(thm)],[c_717,c_4309]) ).

tcf(c_4373,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_77,X0) = select(queue_79,X0) ) ),
    inference(superposition,[status(thm)],[c_4372,c_413]) ).

tcf(c_4374,plain,
    select(queue_79,tail) = index_135,
    inference(superposition,[status(thm)],[c_4372,c_412]) ).

tcf(c_4377,plain,
    index_135 = index_81,
    inference(demodulation,[status(thm)],[c_617,c_4374]) ).

tcf(c_4383,plain,
    s(index_135) = index_84,
    inference(demodulation,[status(thm)],[c_618,c_4377]) ).

tcf(c_4384,plain,
    index_9 = index_84,
    inference(light_normalisation,[status(thm)],[c_4383,c_4091]) ).

tcf(c_4386,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_79,X0) = select(queue_83,X0) ) ),
    inference(superposition,[status(thm)],[c_718,c_413]) ).

tcf(c_4416,plain,
    store(queue_83,tail,index_9) = queue_85,
    inference(light_normalisation,[status(thm)],[c_719,c_4384]) ).

tcf(c_4417,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_83,X0) = select(queue_85,X0) ) ),
    inference(superposition,[status(thm)],[c_4416,c_413]) ).

tcf(c_4418,plain,
    select(queue_85,tail) = index_9,
    inference(superposition,[status(thm)],[c_4416,c_412]) ).

tcf(c_4421,plain,
    index_9 = index_87,
    inference(demodulation,[status(thm)],[c_619,c_4418]) ).

tcf(c_4427,plain,
    s(index_9) = index_90,
    inference(demodulation,[status(thm)],[c_621,c_4421]) ).

tcf(c_4428,plain,
    index_15 = index_90,
    inference(light_normalisation,[status(thm)],[c_4427,c_3222]) ).

tcf(c_4430,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_85,X0) = select(queue_89,X0) ) ),
    inference(superposition,[status(thm)],[c_720,c_413]) ).

tcf(c_4435,plain,
    store(queue_89,tail,index_15) = queue_91,
    inference(light_normalisation,[status(thm)],[c_721,c_4428]) ).

tcf(c_4436,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_89,X0) = select(queue_91,X0) ) ),
    inference(superposition,[status(thm)],[c_4435,c_413]) ).

tcf(c_4437,plain,
    select(queue_91,tail) = index_15,
    inference(superposition,[status(thm)],[c_4435,c_412]) ).

tcf(c_4440,plain,
    index_15 = index_93,
    inference(demodulation,[status(thm)],[c_622,c_4437]) ).

tcf(c_4446,plain,
    s(index_15) = index_96,
    inference(demodulation,[status(thm)],[c_623,c_4440]) ).

tcf(c_4447,plain,
    index_135 = index_96,
    inference(light_normalisation,[status(thm)],[c_4446,c_4101]) ).

tcf(c_4449,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_91,X0) = select(queue_95,X0) ) ),
    inference(superposition,[status(thm)],[c_722,c_413]) ).

tcf(c_4469,plain,
    store(queue_95,tail,index_135) = queue_97,
    inference(light_normalisation,[status(thm)],[c_723,c_4447]) ).

tcf(c_4470,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_95,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_4469,c_413]) ).

tcf(c_4471,plain,
    select(queue_97,tail) = index_135,
    inference(superposition,[status(thm)],[c_4469,c_412]) ).

tcf(c_4472,plain,
    index_99 = index_135,
    inference(light_normalisation,[status(thm)],[c_4471,c_624]) ).

tcf(c_4487,plain,
    p(index_99) = index_15,
    inference(demodulation,[status(thm)],[c_4090,c_4472]) ).

tcf(c_4510,plain,
    index_111 = index_15,
    inference(light_normalisation,[status(thm)],[c_4487,c_3102]) ).

tcf(c_4532,plain,
    p(index_111) = index_9,
    inference(demodulation,[status(thm)],[c_3221,c_4510]) ).

tcf(c_4537,plain,
    index_9 = index_105,
    inference(demodulation,[status(thm)],[c_3085,c_4532]) ).

tcf(c_4540,plain,
    select(earray_296,index_9) = elem_301,
    inference(demodulation,[status(thm)],[c_3952,c_4537]) ).

tcf(c_5103,plain,
    ( ( head = tail )
    | ( select(queue_1,tail) = index_0 ) ),
    inference(superposition,[status(thm)],[c_523,c_2994]) ).

tcf(c_5105,plain,
    ( ( index_9 = index_0 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_5103,c_4366]) ).

tcf(c_5106,plain,
    index_9 = index_0,
    inference(forward_subsumption_resolution,[status(thm)],[c_5105,c_414]) ).

tcf(c_5107,plain,
    select(queue_1,head) = index_9,
    inference(demodulation,[status(thm)],[c_2995,c_5106]) ).

tcf(c_5126,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_3058,c_2999]) ).

tcf(c_5152,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_109,X0) ) ),
    inference(superposition,[status(thm)],[c_3078,c_3073]) ).

tcf(c_5185,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_109,X0) = select(queue_115,X0) ) ),
    inference(superposition,[status(thm)],[c_3127,c_3121]) ).

tcf(c_5215,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_115,X0) = select(queue_121,X0) ) ),
    inference(superposition,[status(thm)],[c_3151,c_3145]) ).

tcf(c_5249,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_121,X0) = select(queue_127,X0) ) ),
    inference(superposition,[status(thm)],[c_3194,c_3188]) ).

tcf(c_5274,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_295,X0) ) ),
    inference(superposition,[status(thm)],[c_3212,c_3089]) ).

tcf(c_5295,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_127,X0) = select(queue_133,X0) ) ),
    inference(superposition,[status(thm)],[c_3253,c_3227]) ).

tcf(c_5332,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_139,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_3276,c_3271]) ).

tcf(c_5358,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_133,X0) = select(queue_145,X0) ) ),
    inference(superposition,[status(thm)],[c_3320,c_3291]) ).

tcf(c_5388,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_145,X0) = select(queue_151,X0) ) ),
    inference(superposition,[status(thm)],[c_3344,c_3338]) ).

tcf(c_5413,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_151,X0) = select(queue_157,X0) ) ),
    inference(superposition,[status(thm)],[c_3381,c_3358]) ).

tcf(c_5444,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_157,X0) = select(queue_163,X0) ) ),
    inference(superposition,[status(thm)],[c_3401,c_3395]) ).

tcf(c_5465,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_163,X0) = select(queue_169,X0) ) ),
    inference(superposition,[status(thm)],[c_3433,c_3415]) ).

tcf(c_5496,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_169,X0) = select(queue_175,X0) ) ),
    inference(superposition,[status(thm)],[c_3458,c_3452]) ).

tcf(c_5530,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_175,X0) = select(queue_181,X0) ) ),
    inference(superposition,[status(thm)],[c_3491,c_3485]) ).

tcf(c_5551,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_181,X0) = select(queue_187,X0) ) ),
    inference(superposition,[status(thm)],[c_3511,c_3505]) ).

tcf(c_5570,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_3538,c_3447]) ).

tcf(c_5591,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_187,X0) = select(queue_193,X0) ) ),
    inference(superposition,[status(thm)],[c_3561,c_3555]) ).

tcf(c_5630,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_193,X0) = select(queue_199,X0) ) ),
    inference(superposition,[status(thm)],[c_3606,c_3575]) ).

tcf(c_5651,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_139,X0) = select(queue_205,X0) ) ),
    inference(superposition,[status(thm)],[c_3625,c_3620]) ).

tcf(c_5676,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_199,X0) = select(queue_211,X0) ) ),
    inference(superposition,[status(thm)],[c_3672,c_3642]) ).

tcf(c_5710,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_211,X0) = select(queue_217,X0) ) ),
    inference(superposition,[status(thm)],[c_3692,c_3686]) ).

tcf(c_5735,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_217,X0) = select(queue_223,X0) ) ),
    inference(superposition,[status(thm)],[c_3728,c_3706]) ).

tcf(c_5756,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_223,X0) = select(queue_229,X0) ) ),
    inference(superposition,[status(thm)],[c_3748,c_3742]) ).

tcf(c_5796,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_229,X0) = select(queue_235,X0) ) ),
    inference(superposition,[status(thm)],[c_3788,c_3782]) ).

tcf(c_5823,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_235,X0) = select(queue_241,X0) ) ),
    inference(superposition,[status(thm)],[c_3808,c_3802]) ).

tcf(c_5844,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_241,X0) = select(queue_247,X0) ) ),
    inference(superposition,[status(thm)],[c_3841,c_3835]) ).

tcf(c_5863,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_19,X0) = select(queue_25,X0) ) ),
    inference(superposition,[status(thm)],[c_3856,c_3762]) ).

tcf(c_5905,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_247,X0) = select(queue_253,X0) ) ),
    inference(superposition,[status(thm)],[c_3888,c_3870]) ).

tcf(c_5932,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_253,X0) = select(queue_259,X0) ) ),
    inference(superposition,[status(thm)],[c_3908,c_3902]) ).

tcf(c_5960,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_259,X0) = select(queue_265,X0) ) ),
    inference(superposition,[status(thm)],[c_3941,c_3922]) ).

tcf(c_6003,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_205,X0) = select(queue_271,X0) ) ),
    inference(superposition,[status(thm)],[c_3961,c_3955]) ).

tcf(c_6028,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_271,X0) = select(queue_277,X0) ) ),
    inference(superposition,[status(thm)],[c_3988,c_3975]) ).

tcf(c_6057,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_277,X0) = select(queue_283,X0) ) ),
    inference(superposition,[status(thm)],[c_4008,c_4002]) ).

tcf(c_6092,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_283,X0) = select(queue_289,X0) ) ),
    inference(superposition,[status(thm)],[c_4041,c_4022]) ).

tcf(c_6125,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_289,X0) = select(queue_295,X0) ) ),
    inference(superposition,[status(thm)],[c_4066,c_4060]) ).

tcf(c_6151,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_25,X0) = select(queue_31,X0) ) ),
    inference(superposition,[status(thm)],[c_4119,c_4055]) ).

tcf(c_6196,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_31,X0) = select(queue_37,X0) ) ),
    inference(superposition,[status(thm)],[c_4139,c_4133]) ).

tcf(c_6225,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_37,X0) = select(queue_43,X0) ) ),
    inference(superposition,[status(thm)],[c_4179,c_4153]) ).

tcf(c_6250,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_43,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_4199,c_4193]) ).

tcf(c_6295,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_49,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_4244,c_4238]) ).

tcf(c_6322,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_55,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_4264,c_4258]) ).

tcf(c_6347,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_61,X0) = select(queue_67,X0) ) ),
    inference(superposition,[status(thm)],[c_4298,c_4292]) ).

tcf(c_6362,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_4311,c_4213]) ).

tcf(c_6404,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_7,X0) = select(queue_73,X0) ) ),
    inference(superposition,[status(thm)],[c_4349,c_4326]) ).

tcf(c_6431,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_67,X0) = select(queue_79,X0) ) ),
    inference(superposition,[status(thm)],[c_4373,c_4367]) ).

tcf(c_6452,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_79,X0) = select(queue_85,X0) ) ),
    inference(superposition,[status(thm)],[c_4417,c_4386]) ).

tcf(c_6506,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_85,X0) = select(queue_91,X0) ) ),
    inference(superposition,[status(thm)],[c_4436,c_4430]) ).

tcf(c_6531,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_91,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_4470,c_4449]) ).

tcf(c_7221,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_259,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5960,c_595]) ).

tcf(c_7223,plain,
    select(queue_259,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7221,c_415,c_414]) ).

tcf(c_7224,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_253,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5932,c_7223]) ).

tcf(c_7226,plain,
    select(queue_253,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7224,c_415,c_414]) ).

tcf(c_7227,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_247,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5905,c_7226]) ).

tcf(c_7229,plain,
    select(queue_247,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7227,c_415,c_414]) ).

tcf(c_7230,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_241,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5844,c_7229]) ).

tcf(c_7232,plain,
    select(queue_241,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7230,c_415,c_414]) ).

tcf(c_7233,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_235,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5823,c_7232]) ).

tcf(c_7235,plain,
    select(queue_235,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7233,c_415,c_414]) ).

tcf(c_7236,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_229,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5796,c_7235]) ).

tcf(c_7238,plain,
    select(queue_229,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7236,c_415,c_414]) ).

tcf(c_7239,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_223,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5756,c_7238]) ).

tcf(c_7241,plain,
    select(queue_223,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7239,c_415,c_414]) ).

tcf(c_7246,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_217,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5735,c_7241]) ).

tcf(c_7248,plain,
    select(queue_217,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7246,c_415,c_414]) ).

tcf(c_7249,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_211,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5710,c_7248]) ).

tcf(c_7251,plain,
    select(queue_211,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7249,c_415,c_414]) ).

tcf(c_7252,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_199,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5676,c_7251]) ).

tcf(c_7254,plain,
    select(queue_199,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7252,c_415,c_414]) ).

tcf(c_7259,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_193,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5630,c_7254]) ).

tcf(c_7261,plain,
    select(queue_193,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7259,c_415,c_414]) ).

tcf(c_7262,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_187,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5591,c_7261]) ).

tcf(c_7264,plain,
    select(queue_187,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7262,c_415,c_414]) ).

tcf(c_7265,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_181,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5551,c_7264]) ).

tcf(c_7267,plain,
    select(queue_181,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7265,c_415,c_414]) ).

tcf(c_7272,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_175,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5530,c_7267]) ).

tcf(c_7274,plain,
    select(queue_175,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7272,c_415,c_414]) ).

tcf(c_7275,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_169,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5496,c_7274]) ).

tcf(c_7277,plain,
    select(queue_169,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7275,c_415,c_414]) ).

tcf(c_7333,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_289,X0) ) ),
    inference(superposition,[status(thm)],[c_6125,c_5274]) ).

tcf(c_7337,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_163,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5465,c_7277]) ).

tcf(c_7339,plain,
    select(queue_163,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7337,c_415,c_414]) ).

tcf(c_7340,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_157,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5444,c_7339]) ).

tcf(c_7342,plain,
    select(queue_157,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7340,c_415,c_414]) ).

tcf(c_7343,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_151,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5413,c_7342]) ).

tcf(c_7345,plain,
    select(queue_151,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7343,c_415,c_414]) ).

tcf(c_7350,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_145,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5388,c_7345]) ).

tcf(c_7352,plain,
    select(queue_145,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7350,c_415,c_414]) ).

tcf(c_7353,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_133,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5358,c_7352]) ).

tcf(c_7355,plain,
    select(queue_133,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7353,c_415,c_414]) ).

tcf(c_7356,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_127,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5295,c_7355]) ).

tcf(c_7358,plain,
    select(queue_127,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7356,c_415,c_414]) ).

tcf(c_7363,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_121,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5249,c_7358]) ).

tcf(c_7365,plain,
    select(queue_121,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7363,c_415,c_414]) ).

tcf(c_7366,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_115,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5215,c_7365]) ).

tcf(c_7368,plain,
    select(queue_115,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7366,c_415,c_414]) ).

tcf(c_7369,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_109,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5185,c_7368]) ).

tcf(c_7371,plain,
    select(queue_109,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7369,c_415,c_414]) ).

tcf(c_7376,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_103,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_5152,c_7371]) ).

tcf(c_7378,plain,
    select(queue_103,head) = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_7376,c_415,c_414]) ).

tcf(c_7470,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_139,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_6404,c_5332]) ).

tcf(c_7519,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_91,X0) ) ),
    inference(superposition,[status(thm)],[c_6531,c_5126]) ).

tcf(c_7634,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_283,X0) ) ),
    inference(superposition,[status(thm)],[c_7333,c_6092]) ).

tcf(c_7653,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_7470,c_6362]) ).

tcf(c_7668,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_85,X0) ) ),
    inference(superposition,[status(thm)],[c_7519,c_6506]) ).

tcf(c_7683,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_277,X0) ) ),
    inference(superposition,[status(thm)],[c_7634,c_6057]) ).

tcf(c_7712,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_79,X0) ) ),
    inference(superposition,[status(thm)],[c_7668,c_6452]) ).

tcf(c_7727,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_271,X0) ) ),
    inference(superposition,[status(thm)],[c_7683,c_6028]) ).

tcf(c_7742,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_67,X0) ) ),
    inference(superposition,[status(thm)],[c_7712,c_6431]) ).

tcf(c_7761,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_205,X0) ) ),
    inference(superposition,[status(thm)],[c_7727,c_6003]) ).

tcf(c_7776,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_7742,c_6347]) ).

tcf(c_7791,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_7761,c_5651]) ).

tcf(c_7810,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_7776,c_6322]) ).

tcf(c_7825,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_7791,c_7653]) ).

tcf(c_7878,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_7810,c_6295]) ).

tcf(c_7893,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_43,X0) ) ),
    inference(superposition,[status(thm)],[c_7878,c_6250]) ).

tcf(c_7912,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_37,X0) ) ),
    inference(superposition,[status(thm)],[c_7893,c_6225]) ).

tcf(c_7937,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_31,X0) ) ),
    inference(superposition,[status(thm)],[c_7912,c_6196]) ).

tcf(c_7952,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_25,X0) ) ),
    inference(superposition,[status(thm)],[c_7937,c_6151]) ).

tcf(c_7971,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_7952,c_5863]) ).

tcf(c_7986,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_7971,c_5570]) ).

tcf(c_8001,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_103,X0) ) ),
    inference(superposition,[status(thm)],[c_7986,c_7825]) ).

tcf(c_8020,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_1,head) = index_297 ) ),
    inference(superposition,[status(thm)],[c_8001,c_7378]) ).

tcf(c_8021,plain,
    ( ( index_9 = index_297 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_8020,c_5107]) ).

tcf(c_8022,plain,
    index_9 = index_297,
    inference(forward_subsumption_resolution,[status(thm)],[c_8021,c_415,c_414]) ).

tcf(c_8049,plain,
    select(earray_296,index_9) = elem_298,
    inference(demodulation,[status(thm)],[c_521,c_8022]) ).

tcf(c_8050,plain,
    elem_298 = elem_301,
    inference(demodulation,[status(thm)],[c_4540,c_8049]) ).

tcf(c_8051,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8050,c_1368]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV571-1.049 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n006.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 20:36:26 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  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
% 0.14/0.41  
% 0.14/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41  
% 0.14/0.41  % Detected problem language: tptp
% 0.14/0.42  % Proving...
% 8.00/1.73  % SZS status Started for theBenchmark.p
% 8.00/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.73  
% 8.00/1.73  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.00/1.73  
% 8.00/1.73  % ------  iProver source info
% 8.00/1.73  
% 8.00/1.73  % git: date: 2026-07-19 20:42:38 +0200
% 8.00/1.73  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.00/1.73  % git: non_committed_changes: false
% 8.00/1.73  
% 8.00/1.73  % ------ Parsing...% successful
% 8.00/1.73  
% 8.00/1.73  
% 8.00/1.73  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 8.00/1.73  
% 8.00/1.73  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 8.00/1.73  
% 8.00/1.73  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 8.00/1.73  
% 8.00/1.73  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 8.00/1.73  % ------ Proving...
% 8.00/1.73  % ------ Problem Properties 
% 8.00/1.73  
% 8.00/1.73  % 
% 8.00/1.73  % clauses                               313
% 8.00/1.73  % conjectures                           1
% 8.00/1.73  % EPR                                   4
% 8.00/1.73  % Horn                                  312
% 8.00/1.73  % unary                                 312
% 8.00/1.73  % binary                                1
% 8.00/1.73  % lits                                  314
% 8.00/1.73  % lits eq                               314
% 8.00/1.73  % fd_pure                               0
% 8.00/1.73  % fd_pseudo                             0
% 8.00/1.73  % fd_cond                               0
% 8.00/1.73  % fd_pseudo_cond                        1
% 8.00/1.73  % AC symbols                            0
% 8.00/1.73  
% 8.00/1.73  % ------ Schedule dynamic 5 is on 
% 8.00/1.73  
% 8.00/1.73  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.00/1.73  
% 8.00/1.73  
% 8.00/1.73  % ------ 
% 8.00/1.73  % Current options:
% 8.00/1.73  % ------ 
% 8.00/1.73  
% 8.00/1.73  
% 8.00/1.73  % 
% 8.00/1.73  
% 8.00/1.73  % ------ Proving...
% 8.00/1.73  % 
% 8.00/1.73  
% 8.00/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.73  
% 8.00/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.00/1.76  
% 8.00/1.76  
%------------------------------------------------------------------------------