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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV569-1.030 : 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 : n002.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 03:23:47 PM UTC 2026

% Result   : Unsatisfiable 26.47s 6.32s
% Output   : CNFRefutation 26.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :  249
% Syntax   : Number of formulae    : 1087 ( 815 unt;   0 def)
%            Number of atoms       : 1512 (1511 equ)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :  544 ( 119   ~; 425   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Maximal term depth    :   20 (   2 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    :  263 ( 263 usr; 260 con; 0-3 aty)
%            Number of variables   :  216 (   0 sgn 216   !;   0   ?; 190   :)

% 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(f5,axiom,
    tail != seq,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tail_distinct_from_seq) ).

fof(f37,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as19) ).

fof(f38,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as18) ).

fof(f39,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as17) ).

fof(f40,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as16) ).

fof(f41,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as15) ).

fof(f42,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as14) ).

fof(f43,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as13) ).

fof(f44,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as12) ).

fof(f45,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(s(X0))))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as11) ).

fof(f46,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(s(X0)))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as10) ).

fof(f47,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(s(X0))))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as9) ).

fof(f48,axiom,
    ! [X0] : s(s(s(s(s(s(s(s(X0)))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as8) ).

fof(f49,axiom,
    ! [X0] : s(s(s(s(s(s(s(X0))))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as7) ).

fof(f50,axiom,
    ! [X0] : s(s(s(s(s(s(X0)))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as6) ).

fof(f51,axiom,
    ! [X0] : s(s(s(s(s(X0))))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as5) ).

fof(f52,axiom,
    ! [X0] : s(s(s(s(X0)))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as4) ).

fof(f53,axiom,
    ! [X0] : s(s(s(X0))) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as3) ).

fof(f54,axiom,
    ! [X0] : s(s(X0)) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as2) ).

fof(f55,axiom,
    ! [X0] : s(X0) != X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as1) ).

fof(f57,axiom,
    earray_100 = store(earray_98,index_99,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).

fof(f58,axiom,
    earray_104 = select(q22,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f59,axiom,
    earray_106 = store(earray_104,index_105,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

fof(f60,axiom,
    earray_110 = select(q23,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f61,axiom,
    earray_112 = store(earray_110,index_111,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

fof(f62,axiom,
    earray_119 = select(q24,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f63,axiom,
    earray_121 = store(earray_119,index_120,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f64,axiom,
    earray_125 = select(q25,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f65,axiom,
    earray_127 = store(earray_125,index_126,e25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f66,axiom,
    earray_131 = select(q26,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f67,axiom,
    earray_133 = store(earray_131,index_132,e26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f69,axiom,
    earray_140 = select(q27,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

fof(f70,axiom,
    earray_142 = store(earray_140,index_141,e27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).

fof(f71,axiom,
    earray_146 = select(q28,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

fof(f72,axiom,
    earray_148 = store(earray_146,index_147,e28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

fof(f75,axiom,
    earray_16 = store(earray_14,index_15,e10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

fof(f76,axiom,
    earray_161 = select(q29,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

fof(f77,axiom,
    earray_163 = store(earray_161,index_162,e29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

fof(f89,axiom,
    earray_20 = select(q11,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).

fof(f92,axiom,
    earray_212 = select(q30,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).

fof(f93,axiom,
    earray_22 = store(earray_20,index_21,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).

fof(f94,axiom,
    earray_29 = select(q12,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).

fof(f95,axiom,
    earray_31 = store(earray_29,index_30,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).

fof(f96,axiom,
    earray_35 = select(q13,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).

fof(f97,axiom,
    earray_37 = store(earray_35,index_36,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).

fof(f99,axiom,
    earray_41 = select(q14,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).

fof(f100,axiom,
    earray_43 = store(earray_41,index_42,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp44) ).

fof(f101,axiom,
    earray_50 = select(q15,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp45) ).

fof(f102,axiom,
    earray_52 = store(earray_50,index_51,e15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp46) ).

fof(f103,axiom,
    earray_56 = select(q16,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp47) ).

fof(f104,axiom,
    earray_58 = store(earray_56,index_57,e16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp48) ).

fof(f105,axiom,
    earray_62 = select(q17,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp49) ).

fof(f106,axiom,
    earray_64 = store(earray_62,index_63,e17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp50) ).

fof(f107,axiom,
    earray_71 = select(q18,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp51) ).

fof(f108,axiom,
    earray_73 = store(earray_71,index_72,e18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp52) ).

fof(f112,axiom,
    earray_83 = select(q19,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp56) ).

fof(f113,axiom,
    earray_85 = store(earray_83,index_84,e19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp57) ).

fof(f114,axiom,
    earray_89 = select(q20,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp58) ).

fof(f115,axiom,
    earray_91 = store(earray_89,index_90,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp59) ).

fof(f116,axiom,
    earray_98 = select(q21,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp60) ).

fof(f117,axiom,
    elem_214 = select(earray_212,index_213),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp61) ).

fof(f118,axiom,
    index_0 = select(q,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp62) ).

fof(f119,axiom,
    index_102 = s(index_99),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp63) ).

fof(f120,axiom,
    index_105 = select(q22,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp64) ).

fof(f121,axiom,
    index_108 = s(index_105),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp65) ).

fof(f122,axiom,
    index_111 = select(q23,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp66) ).

fof(f123,axiom,
    index_114 = s(index_111),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp67) ).

fof(f124,axiom,
    index_116 = select(queue_115,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp68) ).

fof(f125,axiom,
    index_117 = s(index_116),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp69) ).

fof(f126,axiom,
    index_12 = s(index_9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp70) ).

fof(f127,axiom,
    index_120 = select(q24,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp71) ).

fof(f128,axiom,
    index_123 = s(index_120),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp72) ).

fof(f129,axiom,
    index_126 = select(q25,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp73) ).

fof(f130,axiom,
    index_129 = s(index_126),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp74) ).

fof(f131,axiom,
    index_132 = select(q26,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp75) ).

fof(f132,axiom,
    index_135 = s(index_132),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp76) ).

fof(f133,axiom,
    index_137 = select(queue_136,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp77) ).

fof(f134,axiom,
    index_138 = s(index_137),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp78) ).

fof(f135,axiom,
    index_141 = select(q27,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp79) ).

fof(f136,axiom,
    index_144 = s(index_141),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp80) ).

fof(f137,axiom,
    index_147 = select(q28,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp81) ).

fof(f138,axiom,
    index_15 = select(q10,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp82) ).

fof(f139,axiom,
    index_150 = s(index_147),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp83) ).

fof(f140,axiom,
    index_153 = select(q2,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp84) ).

fof(f141,axiom,
    index_156 = s(index_153),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp85) ).

fof(f142,axiom,
    index_158 = select(queue_157,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp86) ).

fof(f143,axiom,
    index_159 = s(index_158),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp87) ).

fof(f144,axiom,
    index_162 = select(q29,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp88) ).

fof(f146,axiom,
    index_167 = select(queue_166,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp90) ).

fof(f147,axiom,
    index_168 = s(index_167),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp91) ).

fof(f148,axiom,
    index_171 = select(q3,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp92) ).

fof(f149,axiom,
    index_174 = s(index_171),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp93) ).

fof(f150,axiom,
    index_177 = select(q4,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp94) ).

fof(f151,axiom,
    index_18 = s(index_15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp95) ).

fof(f152,axiom,
    index_180 = s(index_177),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp96) ).

fof(f153,axiom,
    index_183 = select(q5,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp97) ).

fof(f154,axiom,
    index_186 = s(index_183),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp98) ).

fof(f155,axiom,
    index_188 = select(queue_187,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp99) ).

fof(f156,axiom,
    index_189 = s(index_188),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp100) ).

fof(f157,axiom,
    index_192 = select(q6,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp101) ).

fof(f158,axiom,
    index_195 = s(index_192),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp102) ).

fof(f159,axiom,
    index_198 = select(q7,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp103) ).

fof(f160,axiom,
    index_201 = s(index_198),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp104) ).

fof(f161,axiom,
    index_204 = select(q8,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp105) ).

fof(f162,axiom,
    index_207 = s(index_204),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp106) ).

fof(f163,axiom,
    index_209 = select(queue_208,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp107) ).

fof(f164,axiom,
    index_21 = select(q11,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp108) ).

fof(f165,axiom,
    index_210 = s(index_209),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp109) ).

fof(f166,axiom,
    index_213 = select(q30,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp110) ).

fof(f167,axiom,
    index_24 = s(index_21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp111) ).

fof(f168,axiom,
    index_26 = select(queue_25,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp112) ).

fof(f169,axiom,
    index_27 = s(index_26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp113) ).

fof(f170,axiom,
    index_3 = select(q0,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp114) ).

fof(f171,axiom,
    index_30 = select(q12,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp115) ).

fof(f172,axiom,
    index_33 = s(index_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp116) ).

fof(f173,axiom,
    index_36 = select(q13,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp117) ).

fof(f174,axiom,
    index_39 = s(index_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp118) ).

fof(f175,axiom,
    index_42 = select(q14,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp119) ).

fof(f176,axiom,
    index_45 = s(index_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp120) ).

fof(f177,axiom,
    index_47 = select(queue_46,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp121) ).

fof(f178,axiom,
    index_48 = s(index_47),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp122) ).

fof(f179,axiom,
    index_51 = select(q15,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp123) ).

fof(f180,axiom,
    index_54 = s(index_51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp124) ).

fof(f181,axiom,
    index_57 = select(q16,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp125) ).

fof(f182,axiom,
    index_6 = s(index_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp126) ).

fof(f183,axiom,
    index_60 = s(index_57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp127) ).

fof(f184,axiom,
    index_63 = select(q17,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp128) ).

fof(f185,axiom,
    index_66 = s(index_63),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp129) ).

fof(f186,axiom,
    index_68 = select(queue_67,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp130) ).

fof(f187,axiom,
    index_69 = s(index_68),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp131) ).

fof(f188,axiom,
    index_72 = select(q18,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp132) ).

fof(f189,axiom,
    index_75 = s(index_72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp133) ).

fof(f190,axiom,
    index_78 = select(q1,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp134) ).

fof(f191,axiom,
    index_81 = s(index_78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp135) ).

fof(f192,axiom,
    index_84 = select(q19,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp136) ).

fof(f193,axiom,
    index_87 = s(index_84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp137) ).

fof(f194,axiom,
    index_9 = select(q9,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp138) ).

fof(f195,axiom,
    index_90 = select(q20,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp139) ).

fof(f196,axiom,
    index_93 = s(index_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp140) ).

fof(f197,axiom,
    index_95 = select(queue_94,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp141) ).

fof(f198,axiom,
    index_96 = s(index_95),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp142) ).

fof(f199,axiom,
    index_99 = select(q21,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp143) ).

fof(f200,axiom,
    queue_1 = store(q,head,index_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp144) ).

fof(f201,axiom,
    queue_101 = store(q21,seq,earray_100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp145) ).

fof(f202,axiom,
    queue_103 = store(queue_101,tail,index_102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp146) ).

fof(f203,axiom,
    queue_107 = store(q22,seq,earray_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp147) ).

fof(f204,axiom,
    queue_109 = store(queue_107,tail,index_108),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp148) ).

fof(f205,axiom,
    queue_11 = store(q9,seq,earray_10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp149) ).

fof(f206,axiom,
    queue_113 = store(q23,seq,earray_112),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp150) ).

fof(f207,axiom,
    queue_115 = store(queue_113,tail,index_114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp151) ).

fof(f208,axiom,
    queue_118 = store(queue_115,head,index_117),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp152) ).

fof(f209,axiom,
    queue_122 = store(q24,seq,earray_121),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp153) ).

fof(f210,axiom,
    queue_124 = store(queue_122,tail,index_123),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp154) ).

fof(f211,axiom,
    queue_128 = store(q25,seq,earray_127),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp155) ).

fof(f212,axiom,
    queue_13 = store(queue_11,tail,index_12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp156) ).

fof(f213,axiom,
    queue_130 = store(queue_128,tail,index_129),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp157) ).

fof(f214,axiom,
    queue_134 = store(q26,seq,earray_133),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp158) ).

fof(f215,axiom,
    queue_136 = store(queue_134,tail,index_135),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp159) ).

fof(f216,axiom,
    queue_139 = store(queue_136,head,index_138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp160) ).

fof(f217,axiom,
    queue_143 = store(q27,seq,earray_142),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp161) ).

fof(f218,axiom,
    queue_145 = store(queue_143,tail,index_144),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp162) ).

fof(f219,axiom,
    queue_149 = store(q28,seq,earray_148),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp163) ).

fof(f220,axiom,
    queue_151 = store(queue_149,tail,index_150),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp164) ).

fof(f221,axiom,
    queue_155 = store(q2,seq,earray_154),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp165) ).

fof(f222,axiom,
    queue_157 = store(queue_155,tail,index_156),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp166) ).

fof(f223,axiom,
    queue_160 = store(queue_157,head,index_159),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp167) ).

fof(f224,axiom,
    queue_164 = store(q29,seq,earray_163),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp168) ).

fof(f225,axiom,
    queue_166 = store(queue_164,tail,index_165),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp169) ).

fof(f226,axiom,
    queue_169 = store(queue_166,head,index_168),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp170) ).

fof(f227,axiom,
    queue_17 = store(q10,seq,earray_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp171) ).

fof(f228,axiom,
    queue_173 = store(q3,seq,earray_172),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp172) ).

fof(f229,axiom,
    queue_175 = store(queue_173,tail,index_174),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp173) ).

fof(f230,axiom,
    queue_179 = store(q4,seq,earray_178),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp174) ).

fof(f231,axiom,
    queue_181 = store(queue_179,tail,index_180),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp175) ).

fof(f232,axiom,
    queue_185 = store(q5,seq,earray_184),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp176) ).

fof(f233,axiom,
    queue_187 = store(queue_185,tail,index_186),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp177) ).

fof(f234,axiom,
    queue_19 = store(queue_17,tail,index_18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp178) ).

fof(f235,axiom,
    queue_190 = store(queue_187,head,index_189),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp179) ).

fof(f236,axiom,
    queue_194 = store(q6,seq,earray_193),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp180) ).

fof(f237,axiom,
    queue_196 = store(queue_194,tail,index_195),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp181) ).

fof(f238,axiom,
    queue_200 = store(q7,seq,earray_199),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp182) ).

fof(f239,axiom,
    queue_202 = store(queue_200,tail,index_201),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp183) ).

fof(f240,axiom,
    queue_206 = store(q8,seq,earray_205),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp184) ).

fof(f241,axiom,
    queue_208 = store(queue_206,tail,index_207),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp185) ).

fof(f242,axiom,
    queue_211 = store(queue_208,head,index_210),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp186) ).

fof(f243,axiom,
    queue_23 = store(q11,seq,earray_22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp187) ).

fof(f244,axiom,
    queue_25 = store(queue_23,tail,index_24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp188) ).

fof(f245,axiom,
    queue_28 = store(queue_25,head,index_27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp189) ).

fof(f246,axiom,
    queue_32 = store(q12,seq,earray_31),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp190) ).

fof(f247,axiom,
    queue_34 = store(queue_32,tail,index_33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp191) ).

fof(f248,axiom,
    queue_38 = store(q13,seq,earray_37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp192) ).

fof(f249,axiom,
    queue_40 = store(queue_38,tail,index_39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp193) ).

fof(f250,axiom,
    queue_44 = store(q14,seq,earray_43),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp194) ).

fof(f251,axiom,
    queue_46 = store(queue_44,tail,index_45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp195) ).

fof(f252,axiom,
    queue_49 = store(queue_46,head,index_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp196) ).

fof(f253,axiom,
    queue_5 = store(q0,seq,earray_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp197) ).

fof(f254,axiom,
    queue_53 = store(q15,seq,earray_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp198) ).

fof(f255,axiom,
    queue_55 = store(queue_53,tail,index_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp199) ).

fof(f256,axiom,
    queue_59 = store(q16,seq,earray_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp200) ).

fof(f257,axiom,
    queue_61 = store(queue_59,tail,index_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp201) ).

fof(f258,axiom,
    queue_65 = store(q17,seq,earray_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp202) ).

fof(f259,axiom,
    queue_67 = store(queue_65,tail,index_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp203) ).

fof(f260,axiom,
    queue_7 = store(queue_5,tail,index_6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp204) ).

fof(f261,axiom,
    queue_70 = store(queue_67,head,index_69),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp205) ).

fof(f262,axiom,
    queue_74 = store(q18,seq,earray_73),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp206) ).

fof(f263,axiom,
    queue_76 = store(queue_74,tail,index_75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp207) ).

fof(f264,axiom,
    queue_80 = store(q1,seq,earray_79),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp208) ).

fof(f265,axiom,
    queue_82 = store(queue_80,tail,index_81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp209) ).

fof(f266,axiom,
    queue_86 = store(q19,seq,earray_85),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp210) ).

fof(f267,axiom,
    queue_88 = store(queue_86,tail,index_87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp211) ).

fof(f268,axiom,
    queue_92 = store(q20,seq,earray_91),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp212) ).

fof(f269,axiom,
    queue_94 = store(queue_92,tail,index_93),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp213) ).

fof(f270,axiom,
    queue_97 = store(queue_94,head,index_96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp214) ).

fof(f271,axiom,
    q0 = queue_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp215) ).

fof(f272,axiom,
    q1 = queue_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp216) ).

fof(f273,axiom,
    q10 = queue_13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp217) ).

fof(f274,axiom,
    q11 = queue_19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp218) ).

fof(f275,axiom,
    q12 = queue_28,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp219) ).

fof(f276,axiom,
    q13 = queue_34,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp220) ).

fof(f277,axiom,
    q14 = queue_40,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp221) ).

fof(f278,axiom,
    q15 = queue_49,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp222) ).

fof(f279,axiom,
    q16 = queue_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp223) ).

fof(f280,axiom,
    q17 = queue_61,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp224) ).

fof(f281,axiom,
    q18 = queue_70,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp225) ).

fof(f282,axiom,
    q19 = queue_76,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp226) ).

fof(f283,axiom,
    q2 = queue_82,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp227) ).

fof(f284,axiom,
    q20 = queue_88,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp228) ).

fof(f285,axiom,
    q21 = queue_97,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp229) ).

fof(f286,axiom,
    q22 = queue_103,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp230) ).

fof(f287,axiom,
    q23 = queue_109,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp231) ).

fof(f288,axiom,
    q24 = queue_118,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp232) ).

fof(f289,axiom,
    q25 = queue_124,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp233) ).

fof(f290,axiom,
    q26 = queue_130,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp234) ).

fof(f291,axiom,
    q27 = queue_139,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp235) ).

fof(f292,axiom,
    q28 = queue_145,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp236) ).

fof(f293,axiom,
    q29 = queue_151,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp237) ).

fof(f294,axiom,
    q3 = queue_160,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp238) ).

fof(f295,axiom,
    q30 = queue_169,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp239) ).

fof(f296,axiom,
    q4 = queue_175,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp240) ).

fof(f297,axiom,
    q5 = queue_181,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp241) ).

fof(f298,axiom,
    q6 = queue_190,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp242) ).

fof(f299,axiom,
    q7 = queue_196,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp243) ).

fof(f300,axiom,
    q8 = queue_202,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp244) ).

fof(f301,axiom,
    q9 = queue_211,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp245) ).

fof(f302,negated_conjecture,
    elem_214 != e10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f303,plain,
    e10 != elem_214,
    inference(reorient_equations,[],[f302]) ).

fof(f304,plain,
    earray_104 = select(queue_103,seq),
    inference(definition_unfolding,[],[f58,f286]) ).

fof(f305,plain,
    earray_110 = select(queue_109,seq),
    inference(definition_unfolding,[],[f60,f287]) ).

fof(f306,plain,
    earray_119 = select(queue_118,seq),
    inference(definition_unfolding,[],[f62,f288]) ).

fof(f307,plain,
    earray_125 = select(queue_124,seq),
    inference(definition_unfolding,[],[f64,f289]) ).

fof(f308,plain,
    earray_131 = select(queue_130,seq),
    inference(definition_unfolding,[],[f66,f290]) ).

fof(f310,plain,
    earray_140 = select(queue_139,seq),
    inference(definition_unfolding,[],[f69,f291]) ).

fof(f311,plain,
    earray_146 = select(queue_145,seq),
    inference(definition_unfolding,[],[f71,f292]) ).

fof(f313,plain,
    earray_161 = select(queue_151,seq),
    inference(definition_unfolding,[],[f76,f293]) ).

fof(f320,plain,
    earray_20 = select(queue_19,seq),
    inference(definition_unfolding,[],[f89,f274]) ).

fof(f322,plain,
    earray_212 = select(queue_169,seq),
    inference(definition_unfolding,[],[f92,f295]) ).

fof(f323,plain,
    earray_29 = select(queue_28,seq),
    inference(definition_unfolding,[],[f94,f275]) ).

fof(f324,plain,
    earray_35 = select(queue_34,seq),
    inference(definition_unfolding,[],[f96,f276]) ).

fof(f325,plain,
    earray_41 = select(queue_40,seq),
    inference(definition_unfolding,[],[f99,f277]) ).

fof(f326,plain,
    earray_50 = select(queue_49,seq),
    inference(definition_unfolding,[],[f101,f278]) ).

fof(f327,plain,
    earray_56 = select(queue_55,seq),
    inference(definition_unfolding,[],[f103,f279]) ).

fof(f328,plain,
    earray_62 = select(queue_61,seq),
    inference(definition_unfolding,[],[f105,f280]) ).

fof(f329,plain,
    earray_71 = select(queue_70,seq),
    inference(definition_unfolding,[],[f107,f281]) ).

fof(f332,plain,
    earray_83 = select(queue_76,seq),
    inference(definition_unfolding,[],[f112,f282]) ).

fof(f333,plain,
    earray_89 = select(queue_88,seq),
    inference(definition_unfolding,[],[f114,f284]) ).

fof(f334,plain,
    earray_98 = select(queue_97,seq),
    inference(definition_unfolding,[],[f116,f285]) ).

fof(f335,plain,
    index_105 = select(queue_103,tail),
    inference(definition_unfolding,[],[f120,f286]) ).

fof(f336,plain,
    index_111 = select(queue_109,tail),
    inference(definition_unfolding,[],[f122,f287]) ).

fof(f337,plain,
    index_120 = select(queue_118,tail),
    inference(definition_unfolding,[],[f127,f288]) ).

fof(f338,plain,
    index_126 = select(queue_124,tail),
    inference(definition_unfolding,[],[f129,f289]) ).

fof(f339,plain,
    index_132 = select(queue_130,tail),
    inference(definition_unfolding,[],[f131,f290]) ).

fof(f340,plain,
    index_141 = select(queue_139,tail),
    inference(definition_unfolding,[],[f135,f291]) ).

fof(f341,plain,
    index_147 = select(queue_145,tail),
    inference(definition_unfolding,[],[f137,f292]) ).

fof(f342,plain,
    index_15 = select(queue_13,tail),
    inference(definition_unfolding,[],[f138,f273]) ).

fof(f343,plain,
    index_153 = select(queue_82,tail),
    inference(definition_unfolding,[],[f140,f283]) ).

fof(f344,plain,
    index_162 = select(queue_151,tail),
    inference(definition_unfolding,[],[f144,f293]) ).

fof(f345,plain,
    index_171 = select(queue_160,tail),
    inference(definition_unfolding,[],[f148,f294]) ).

fof(f346,plain,
    index_177 = select(queue_175,tail),
    inference(definition_unfolding,[],[f150,f296]) ).

fof(f347,plain,
    index_183 = select(queue_181,tail),
    inference(definition_unfolding,[],[f153,f297]) ).

fof(f348,plain,
    index_192 = select(queue_190,tail),
    inference(definition_unfolding,[],[f157,f298]) ).

fof(f349,plain,
    index_198 = select(queue_196,tail),
    inference(definition_unfolding,[],[f159,f299]) ).

fof(f350,plain,
    index_204 = select(queue_202,tail),
    inference(definition_unfolding,[],[f161,f300]) ).

fof(f351,plain,
    index_21 = select(queue_19,tail),
    inference(definition_unfolding,[],[f164,f274]) ).

fof(f352,plain,
    index_213 = select(queue_169,head),
    inference(definition_unfolding,[],[f166,f295]) ).

fof(f353,plain,
    index_3 = select(queue_1,tail),
    inference(definition_unfolding,[],[f170,f271]) ).

fof(f354,plain,
    index_30 = select(queue_28,tail),
    inference(definition_unfolding,[],[f171,f275]) ).

fof(f355,plain,
    index_36 = select(queue_34,tail),
    inference(definition_unfolding,[],[f173,f276]) ).

fof(f356,plain,
    index_42 = select(queue_40,tail),
    inference(definition_unfolding,[],[f175,f277]) ).

fof(f357,plain,
    index_51 = select(queue_49,tail),
    inference(definition_unfolding,[],[f179,f278]) ).

fof(f358,plain,
    index_57 = select(queue_55,tail),
    inference(definition_unfolding,[],[f181,f279]) ).

fof(f359,plain,
    index_63 = select(queue_61,tail),
    inference(definition_unfolding,[],[f184,f280]) ).

fof(f360,plain,
    index_72 = select(queue_70,tail),
    inference(definition_unfolding,[],[f188,f281]) ).

fof(f361,plain,
    index_78 = select(queue_7,tail),
    inference(definition_unfolding,[],[f190,f272]) ).

fof(f362,plain,
    index_84 = select(queue_76,tail),
    inference(definition_unfolding,[],[f192,f282]) ).

fof(f363,plain,
    index_9 = select(queue_211,tail),
    inference(definition_unfolding,[],[f194,f301]) ).

fof(f364,plain,
    index_90 = select(queue_88,tail),
    inference(definition_unfolding,[],[f195,f284]) ).

fof(f365,plain,
    index_99 = select(queue_97,tail),
    inference(definition_unfolding,[],[f199,f285]) ).

fof(f366,plain,
    queue_101 = store(queue_97,seq,earray_100),
    inference(definition_unfolding,[],[f201,f285]) ).

fof(f367,plain,
    queue_107 = store(queue_103,seq,earray_106),
    inference(definition_unfolding,[],[f203,f286]) ).

fof(f368,plain,
    queue_11 = store(queue_211,seq,earray_10),
    inference(definition_unfolding,[],[f205,f301]) ).

fof(f369,plain,
    queue_113 = store(queue_109,seq,earray_112),
    inference(definition_unfolding,[],[f206,f287]) ).

fof(f370,plain,
    queue_122 = store(queue_118,seq,earray_121),
    inference(definition_unfolding,[],[f209,f288]) ).

fof(f371,plain,
    queue_128 = store(queue_124,seq,earray_127),
    inference(definition_unfolding,[],[f211,f289]) ).

fof(f372,plain,
    queue_134 = store(queue_130,seq,earray_133),
    inference(definition_unfolding,[],[f214,f290]) ).

fof(f373,plain,
    queue_143 = store(queue_139,seq,earray_142),
    inference(definition_unfolding,[],[f217,f291]) ).

fof(f374,plain,
    queue_149 = store(queue_145,seq,earray_148),
    inference(definition_unfolding,[],[f219,f292]) ).

fof(f375,plain,
    queue_155 = store(queue_82,seq,earray_154),
    inference(definition_unfolding,[],[f221,f283]) ).

fof(f376,plain,
    queue_164 = store(queue_151,seq,earray_163),
    inference(definition_unfolding,[],[f224,f293]) ).

fof(f377,plain,
    queue_17 = store(queue_13,seq,earray_16),
    inference(definition_unfolding,[],[f227,f273]) ).

fof(f378,plain,
    queue_173 = store(queue_160,seq,earray_172),
    inference(definition_unfolding,[],[f228,f294]) ).

fof(f379,plain,
    queue_179 = store(queue_175,seq,earray_178),
    inference(definition_unfolding,[],[f230,f296]) ).

fof(f380,plain,
    queue_185 = store(queue_181,seq,earray_184),
    inference(definition_unfolding,[],[f232,f297]) ).

fof(f381,plain,
    queue_194 = store(queue_190,seq,earray_193),
    inference(definition_unfolding,[],[f236,f298]) ).

fof(f382,plain,
    queue_200 = store(queue_196,seq,earray_199),
    inference(definition_unfolding,[],[f238,f299]) ).

fof(f383,plain,
    queue_206 = store(queue_202,seq,earray_205),
    inference(definition_unfolding,[],[f240,f300]) ).

fof(f384,plain,
    queue_23 = store(queue_19,seq,earray_22),
    inference(definition_unfolding,[],[f243,f274]) ).

fof(f385,plain,
    queue_32 = store(queue_28,seq,earray_31),
    inference(definition_unfolding,[],[f246,f275]) ).

fof(f386,plain,
    queue_38 = store(queue_34,seq,earray_37),
    inference(definition_unfolding,[],[f248,f276]) ).

fof(f387,plain,
    queue_44 = store(queue_40,seq,earray_43),
    inference(definition_unfolding,[],[f250,f277]) ).

fof(f388,plain,
    queue_5 = store(queue_1,seq,earray_4),
    inference(definition_unfolding,[],[f253,f271]) ).

fof(f389,plain,
    queue_53 = store(queue_49,seq,earray_52),
    inference(definition_unfolding,[],[f254,f278]) ).

fof(f390,plain,
    queue_59 = store(queue_55,seq,earray_58),
    inference(definition_unfolding,[],[f256,f279]) ).

fof(f391,plain,
    queue_65 = store(queue_61,seq,earray_64),
    inference(definition_unfolding,[],[f258,f280]) ).

fof(f392,plain,
    queue_74 = store(queue_70,seq,earray_73),
    inference(definition_unfolding,[],[f262,f281]) ).

fof(f393,plain,
    queue_80 = store(queue_7,seq,earray_79),
    inference(definition_unfolding,[],[f264,f272]) ).

fof(f394,plain,
    queue_86 = store(queue_76,seq,earray_85),
    inference(definition_unfolding,[],[f266,f282]) ).

fof(f395,plain,
    queue_92 = store(queue_88,seq,earray_91),
    inference(definition_unfolding,[],[f268,f284]) ).

tcf(c_351,plain,
    ! [X0: $i,X1: $i,X2: $i] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_352,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_353,plain,
    head != tail,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_354,plain,
    head != seq,
    inference(cnf_transformation,[],[f4]) ).

tcf(c_355,plain,
    tail != seq,
    inference(cnf_transformation,[],[f5]) ).

tcf(c_387,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))))) != X0,
    inference(cnf_transformation,[],[f37]) ).

tcf(c_388,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))) != X0,
    inference(cnf_transformation,[],[f38]) ).

tcf(c_389,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))) != X0,
    inference(cnf_transformation,[],[f39]) ).

tcf(c_390,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))) != X0,
    inference(cnf_transformation,[],[f40]) ).

tcf(c_391,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))) != X0,
    inference(cnf_transformation,[],[f41]) ).

tcf(c_392,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))) != X0,
    inference(cnf_transformation,[],[f42]) ).

tcf(c_393,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) != X0,
    inference(cnf_transformation,[],[f43]) ).

tcf(c_394,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) != X0,
    inference(cnf_transformation,[],[f44]) ).

tcf(c_395,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(s(X0))))))))))) != X0,
    inference(cnf_transformation,[],[f45]) ).

tcf(c_396,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(s(X0)))))))))) != X0,
    inference(cnf_transformation,[],[f46]) ).

tcf(c_397,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(s(X0))))))))) != X0,
    inference(cnf_transformation,[],[f47]) ).

tcf(c_398,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(s(X0)))))))) != X0,
    inference(cnf_transformation,[],[f48]) ).

tcf(c_399,plain,
    ! [X0: $i] : s(s(s(s(s(s(s(X0))))))) != X0,
    inference(cnf_transformation,[],[f49]) ).

tcf(c_400,plain,
    ! [X0: $i] : s(s(s(s(s(s(X0)))))) != X0,
    inference(cnf_transformation,[],[f50]) ).

tcf(c_401,plain,
    ! [X0: $i] : s(s(s(s(s(X0))))) != X0,
    inference(cnf_transformation,[],[f51]) ).

tcf(c_402,plain,
    ! [X0: $i] : s(s(s(s(X0)))) != X0,
    inference(cnf_transformation,[],[f52]) ).

tcf(c_403,plain,
    ! [X0: $i] : s(s(s(X0))) != X0,
    inference(cnf_transformation,[],[f53]) ).

tcf(c_404,plain,
    ! [X0: $i] : s(s(X0)) != X0,
    inference(cnf_transformation,[],[f54]) ).

tcf(c_405,plain,
    ! [X0: $i] : s(X0) != X0,
    inference(cnf_transformation,[],[f55]) ).

tcf(c_407,plain,
    store(earray_98,index_99,e21) = earray_100,
    inference(cnf_transformation,[],[f57]) ).

tcf(c_408,plain,
    select(queue_103,seq) = earray_104,
    inference(cnf_transformation,[],[f304]) ).

tcf(c_409,plain,
    store(earray_104,index_105,e22) = earray_106,
    inference(cnf_transformation,[],[f59]) ).

tcf(c_410,plain,
    select(queue_109,seq) = earray_110,
    inference(cnf_transformation,[],[f305]) ).

tcf(c_411,plain,
    store(earray_110,index_111,e23) = earray_112,
    inference(cnf_transformation,[],[f61]) ).

tcf(c_412,plain,
    select(queue_118,seq) = earray_119,
    inference(cnf_transformation,[],[f306]) ).

tcf(c_413,plain,
    store(earray_119,index_120,e24) = earray_121,
    inference(cnf_transformation,[],[f63]) ).

tcf(c_414,plain,
    select(queue_124,seq) = earray_125,
    inference(cnf_transformation,[],[f307]) ).

tcf(c_415,plain,
    store(earray_125,index_126,e25) = earray_127,
    inference(cnf_transformation,[],[f65]) ).

tcf(c_416,plain,
    select(queue_130,seq) = earray_131,
    inference(cnf_transformation,[],[f308]) ).

tcf(c_417,plain,
    store(earray_131,index_132,e26) = earray_133,
    inference(cnf_transformation,[],[f67]) ).

tcf(c_419,plain,
    select(queue_139,seq) = earray_140,
    inference(cnf_transformation,[],[f310]) ).

tcf(c_420,plain,
    store(earray_140,index_141,e27) = earray_142,
    inference(cnf_transformation,[],[f70]) ).

tcf(c_421,plain,
    select(queue_145,seq) = earray_146,
    inference(cnf_transformation,[],[f311]) ).

tcf(c_422,plain,
    store(earray_146,index_147,e28) = earray_148,
    inference(cnf_transformation,[],[f72]) ).

tcf(c_425,plain,
    store(earray_14,index_15,e10) = earray_16,
    inference(cnf_transformation,[],[f75]) ).

tcf(c_426,plain,
    select(queue_151,seq) = earray_161,
    inference(cnf_transformation,[],[f313]) ).

tcf(c_427,plain,
    store(earray_161,index_162,e29) = earray_163,
    inference(cnf_transformation,[],[f77]) ).

tcf(c_439,plain,
    select(queue_19,seq) = earray_20,
    inference(cnf_transformation,[],[f320]) ).

tcf(c_442,plain,
    select(queue_169,seq) = earray_212,
    inference(cnf_transformation,[],[f322]) ).

tcf(c_443,plain,
    store(earray_20,index_21,e11) = earray_22,
    inference(cnf_transformation,[],[f93]) ).

tcf(c_444,plain,
    select(queue_28,seq) = earray_29,
    inference(cnf_transformation,[],[f323]) ).

tcf(c_445,plain,
    store(earray_29,index_30,e12) = earray_31,
    inference(cnf_transformation,[],[f95]) ).

tcf(c_446,plain,
    select(queue_34,seq) = earray_35,
    inference(cnf_transformation,[],[f324]) ).

tcf(c_447,plain,
    store(earray_35,index_36,e13) = earray_37,
    inference(cnf_transformation,[],[f97]) ).

tcf(c_449,plain,
    select(queue_40,seq) = earray_41,
    inference(cnf_transformation,[],[f325]) ).

tcf(c_450,plain,
    store(earray_41,index_42,e14) = earray_43,
    inference(cnf_transformation,[],[f100]) ).

tcf(c_451,plain,
    select(queue_49,seq) = earray_50,
    inference(cnf_transformation,[],[f326]) ).

tcf(c_452,plain,
    store(earray_50,index_51,e15) = earray_52,
    inference(cnf_transformation,[],[f102]) ).

tcf(c_453,plain,
    select(queue_55,seq) = earray_56,
    inference(cnf_transformation,[],[f327]) ).

tcf(c_454,plain,
    store(earray_56,index_57,e16) = earray_58,
    inference(cnf_transformation,[],[f104]) ).

tcf(c_455,plain,
    select(queue_61,seq) = earray_62,
    inference(cnf_transformation,[],[f328]) ).

tcf(c_456,plain,
    store(earray_62,index_63,e17) = earray_64,
    inference(cnf_transformation,[],[f106]) ).

tcf(c_457,plain,
    select(queue_70,seq) = earray_71,
    inference(cnf_transformation,[],[f329]) ).

tcf(c_458,plain,
    store(earray_71,index_72,e18) = earray_73,
    inference(cnf_transformation,[],[f108]) ).

tcf(c_462,plain,
    select(queue_76,seq) = earray_83,
    inference(cnf_transformation,[],[f332]) ).

tcf(c_463,plain,
    store(earray_83,index_84,e19) = earray_85,
    inference(cnf_transformation,[],[f113]) ).

tcf(c_464,plain,
    select(queue_88,seq) = earray_89,
    inference(cnf_transformation,[],[f333]) ).

tcf(c_465,plain,
    store(earray_89,index_90,e20) = earray_91,
    inference(cnf_transformation,[],[f115]) ).

tcf(c_466,plain,
    select(queue_97,seq) = earray_98,
    inference(cnf_transformation,[],[f334]) ).

tcf(c_467,plain,
    select(earray_212,index_213) = elem_214,
    inference(cnf_transformation,[],[f117]) ).

tcf(c_468,plain,
    select(q,tail) = index_0,
    inference(cnf_transformation,[],[f118]) ).

tcf(c_469,plain,
    s(index_99) = index_102,
    inference(cnf_transformation,[],[f119]) ).

tcf(c_470,plain,
    select(queue_103,tail) = index_105,
    inference(cnf_transformation,[],[f335]) ).

tcf(c_471,plain,
    s(index_105) = index_108,
    inference(cnf_transformation,[],[f121]) ).

tcf(c_472,plain,
    select(queue_109,tail) = index_111,
    inference(cnf_transformation,[],[f336]) ).

tcf(c_473,plain,
    s(index_111) = index_114,
    inference(cnf_transformation,[],[f123]) ).

tcf(c_474,plain,
    select(queue_115,head) = index_116,
    inference(cnf_transformation,[],[f124]) ).

tcf(c_475,plain,
    s(index_116) = index_117,
    inference(cnf_transformation,[],[f125]) ).

tcf(c_476,plain,
    s(index_9) = index_12,
    inference(cnf_transformation,[],[f126]) ).

tcf(c_477,plain,
    select(queue_118,tail) = index_120,
    inference(cnf_transformation,[],[f337]) ).

tcf(c_478,plain,
    s(index_120) = index_123,
    inference(cnf_transformation,[],[f128]) ).

tcf(c_479,plain,
    select(queue_124,tail) = index_126,
    inference(cnf_transformation,[],[f338]) ).

tcf(c_480,plain,
    s(index_126) = index_129,
    inference(cnf_transformation,[],[f130]) ).

tcf(c_481,plain,
    select(queue_130,tail) = index_132,
    inference(cnf_transformation,[],[f339]) ).

tcf(c_482,plain,
    s(index_132) = index_135,
    inference(cnf_transformation,[],[f132]) ).

tcf(c_483,plain,
    select(queue_136,head) = index_137,
    inference(cnf_transformation,[],[f133]) ).

tcf(c_484,plain,
    s(index_137) = index_138,
    inference(cnf_transformation,[],[f134]) ).

tcf(c_485,plain,
    select(queue_139,tail) = index_141,
    inference(cnf_transformation,[],[f340]) ).

tcf(c_486,plain,
    s(index_141) = index_144,
    inference(cnf_transformation,[],[f136]) ).

tcf(c_487,plain,
    select(queue_145,tail) = index_147,
    inference(cnf_transformation,[],[f341]) ).

tcf(c_488,plain,
    select(queue_13,tail) = index_15,
    inference(cnf_transformation,[],[f342]) ).

tcf(c_489,plain,
    s(index_147) = index_150,
    inference(cnf_transformation,[],[f139]) ).

tcf(c_490,plain,
    select(queue_82,tail) = index_153,
    inference(cnf_transformation,[],[f343]) ).

tcf(c_491,plain,
    s(index_153) = index_156,
    inference(cnf_transformation,[],[f141]) ).

tcf(c_492,plain,
    select(queue_157,head) = index_158,
    inference(cnf_transformation,[],[f142]) ).

tcf(c_493,plain,
    s(index_158) = index_159,
    inference(cnf_transformation,[],[f143]) ).

tcf(c_494,plain,
    select(queue_151,tail) = index_162,
    inference(cnf_transformation,[],[f344]) ).

tcf(c_496,plain,
    select(queue_166,head) = index_167,
    inference(cnf_transformation,[],[f146]) ).

tcf(c_497,plain,
    s(index_167) = index_168,
    inference(cnf_transformation,[],[f147]) ).

tcf(c_498,plain,
    select(queue_160,tail) = index_171,
    inference(cnf_transformation,[],[f345]) ).

tcf(c_499,plain,
    s(index_171) = index_174,
    inference(cnf_transformation,[],[f149]) ).

tcf(c_500,plain,
    select(queue_175,tail) = index_177,
    inference(cnf_transformation,[],[f346]) ).

tcf(c_501,plain,
    s(index_15) = index_18,
    inference(cnf_transformation,[],[f151]) ).

tcf(c_502,plain,
    s(index_177) = index_180,
    inference(cnf_transformation,[],[f152]) ).

tcf(c_503,plain,
    select(queue_181,tail) = index_183,
    inference(cnf_transformation,[],[f347]) ).

tcf(c_504,plain,
    s(index_183) = index_186,
    inference(cnf_transformation,[],[f154]) ).

tcf(c_505,plain,
    select(queue_187,head) = index_188,
    inference(cnf_transformation,[],[f155]) ).

tcf(c_506,plain,
    s(index_188) = index_189,
    inference(cnf_transformation,[],[f156]) ).

tcf(c_507,plain,
    select(queue_190,tail) = index_192,
    inference(cnf_transformation,[],[f348]) ).

tcf(c_508,plain,
    s(index_192) = index_195,
    inference(cnf_transformation,[],[f158]) ).

tcf(c_509,plain,
    select(queue_196,tail) = index_198,
    inference(cnf_transformation,[],[f349]) ).

tcf(c_510,plain,
    s(index_198) = index_201,
    inference(cnf_transformation,[],[f160]) ).

tcf(c_511,plain,
    select(queue_202,tail) = index_204,
    inference(cnf_transformation,[],[f350]) ).

tcf(c_512,plain,
    s(index_204) = index_207,
    inference(cnf_transformation,[],[f162]) ).

tcf(c_513,plain,
    select(queue_208,head) = index_209,
    inference(cnf_transformation,[],[f163]) ).

tcf(c_514,plain,
    select(queue_19,tail) = index_21,
    inference(cnf_transformation,[],[f351]) ).

tcf(c_515,plain,
    s(index_209) = index_210,
    inference(cnf_transformation,[],[f165]) ).

tcf(c_516,plain,
    select(queue_169,head) = index_213,
    inference(cnf_transformation,[],[f352]) ).

tcf(c_517,plain,
    s(index_21) = index_24,
    inference(cnf_transformation,[],[f167]) ).

tcf(c_518,plain,
    select(queue_25,head) = index_26,
    inference(cnf_transformation,[],[f168]) ).

tcf(c_519,plain,
    s(index_26) = index_27,
    inference(cnf_transformation,[],[f169]) ).

tcf(c_520,plain,
    select(queue_1,tail) = index_3,
    inference(cnf_transformation,[],[f353]) ).

tcf(c_521,plain,
    select(queue_28,tail) = index_30,
    inference(cnf_transformation,[],[f354]) ).

tcf(c_522,plain,
    s(index_30) = index_33,
    inference(cnf_transformation,[],[f172]) ).

tcf(c_523,plain,
    select(queue_34,tail) = index_36,
    inference(cnf_transformation,[],[f355]) ).

tcf(c_524,plain,
    s(index_36) = index_39,
    inference(cnf_transformation,[],[f174]) ).

tcf(c_525,plain,
    select(queue_40,tail) = index_42,
    inference(cnf_transformation,[],[f356]) ).

tcf(c_526,plain,
    s(index_42) = index_45,
    inference(cnf_transformation,[],[f176]) ).

tcf(c_527,plain,
    select(queue_46,head) = index_47,
    inference(cnf_transformation,[],[f177]) ).

tcf(c_528,plain,
    s(index_47) = index_48,
    inference(cnf_transformation,[],[f178]) ).

tcf(c_529,plain,
    select(queue_49,tail) = index_51,
    inference(cnf_transformation,[],[f357]) ).

tcf(c_530,plain,
    s(index_51) = index_54,
    inference(cnf_transformation,[],[f180]) ).

tcf(c_531,plain,
    select(queue_55,tail) = index_57,
    inference(cnf_transformation,[],[f358]) ).

tcf(c_532,plain,
    s(index_3) = index_6,
    inference(cnf_transformation,[],[f182]) ).

tcf(c_533,plain,
    s(index_57) = index_60,
    inference(cnf_transformation,[],[f183]) ).

tcf(c_534,plain,
    select(queue_61,tail) = index_63,
    inference(cnf_transformation,[],[f359]) ).

tcf(c_535,plain,
    s(index_63) = index_66,
    inference(cnf_transformation,[],[f185]) ).

tcf(c_536,plain,
    select(queue_67,head) = index_68,
    inference(cnf_transformation,[],[f186]) ).

tcf(c_537,plain,
    s(index_68) = index_69,
    inference(cnf_transformation,[],[f187]) ).

tcf(c_538,plain,
    select(queue_70,tail) = index_72,
    inference(cnf_transformation,[],[f360]) ).

tcf(c_539,plain,
    s(index_72) = index_75,
    inference(cnf_transformation,[],[f189]) ).

tcf(c_540,plain,
    select(queue_7,tail) = index_78,
    inference(cnf_transformation,[],[f361]) ).

tcf(c_541,plain,
    s(index_78) = index_81,
    inference(cnf_transformation,[],[f191]) ).

tcf(c_542,plain,
    select(queue_76,tail) = index_84,
    inference(cnf_transformation,[],[f362]) ).

tcf(c_543,plain,
    s(index_84) = index_87,
    inference(cnf_transformation,[],[f193]) ).

tcf(c_544,plain,
    select(queue_211,tail) = index_9,
    inference(cnf_transformation,[],[f363]) ).

tcf(c_545,plain,
    select(queue_88,tail) = index_90,
    inference(cnf_transformation,[],[f364]) ).

tcf(c_546,plain,
    s(index_90) = index_93,
    inference(cnf_transformation,[],[f196]) ).

tcf(c_547,plain,
    select(queue_94,head) = index_95,
    inference(cnf_transformation,[],[f197]) ).

tcf(c_548,plain,
    s(index_95) = index_96,
    inference(cnf_transformation,[],[f198]) ).

tcf(c_549,plain,
    select(queue_97,tail) = index_99,
    inference(cnf_transformation,[],[f365]) ).

tcf(c_550,plain,
    store(q,head,index_0) = queue_1,
    inference(cnf_transformation,[],[f200]) ).

tcf(c_551,plain,
    store(queue_97,seq,earray_100) = queue_101,
    inference(cnf_transformation,[],[f366]) ).

tcf(c_552,plain,
    store(queue_101,tail,index_102) = queue_103,
    inference(cnf_transformation,[],[f202]) ).

tcf(c_553,plain,
    store(queue_103,seq,earray_106) = queue_107,
    inference(cnf_transformation,[],[f367]) ).

tcf(c_554,plain,
    store(queue_107,tail,index_108) = queue_109,
    inference(cnf_transformation,[],[f204]) ).

tcf(c_555,plain,
    store(queue_211,seq,earray_10) = queue_11,
    inference(cnf_transformation,[],[f368]) ).

tcf(c_556,plain,
    store(queue_109,seq,earray_112) = queue_113,
    inference(cnf_transformation,[],[f369]) ).

tcf(c_557,plain,
    store(queue_113,tail,index_114) = queue_115,
    inference(cnf_transformation,[],[f207]) ).

tcf(c_558,plain,
    store(queue_115,head,index_117) = queue_118,
    inference(cnf_transformation,[],[f208]) ).

tcf(c_559,plain,
    store(queue_118,seq,earray_121) = queue_122,
    inference(cnf_transformation,[],[f370]) ).

tcf(c_560,plain,
    store(queue_122,tail,index_123) = queue_124,
    inference(cnf_transformation,[],[f210]) ).

tcf(c_561,plain,
    store(queue_124,seq,earray_127) = queue_128,
    inference(cnf_transformation,[],[f371]) ).

tcf(c_562,plain,
    store(queue_11,tail,index_12) = queue_13,
    inference(cnf_transformation,[],[f212]) ).

tcf(c_563,plain,
    store(queue_128,tail,index_129) = queue_130,
    inference(cnf_transformation,[],[f213]) ).

tcf(c_564,plain,
    store(queue_130,seq,earray_133) = queue_134,
    inference(cnf_transformation,[],[f372]) ).

tcf(c_565,plain,
    store(queue_134,tail,index_135) = queue_136,
    inference(cnf_transformation,[],[f215]) ).

tcf(c_566,plain,
    store(queue_136,head,index_138) = queue_139,
    inference(cnf_transformation,[],[f216]) ).

tcf(c_567,plain,
    store(queue_139,seq,earray_142) = queue_143,
    inference(cnf_transformation,[],[f373]) ).

tcf(c_568,plain,
    store(queue_143,tail,index_144) = queue_145,
    inference(cnf_transformation,[],[f218]) ).

tcf(c_569,plain,
    store(queue_145,seq,earray_148) = queue_149,
    inference(cnf_transformation,[],[f374]) ).

tcf(c_570,plain,
    store(queue_149,tail,index_150) = queue_151,
    inference(cnf_transformation,[],[f220]) ).

tcf(c_571,plain,
    store(queue_82,seq,earray_154) = queue_155,
    inference(cnf_transformation,[],[f375]) ).

tcf(c_572,plain,
    store(queue_155,tail,index_156) = queue_157,
    inference(cnf_transformation,[],[f222]) ).

tcf(c_573,plain,
    store(queue_157,head,index_159) = queue_160,
    inference(cnf_transformation,[],[f223]) ).

tcf(c_574,plain,
    store(queue_151,seq,earray_163) = queue_164,
    inference(cnf_transformation,[],[f376]) ).

tcf(c_575,plain,
    store(queue_164,tail,index_165) = queue_166,
    inference(cnf_transformation,[],[f225]) ).

tcf(c_576,plain,
    store(queue_166,head,index_168) = queue_169,
    inference(cnf_transformation,[],[f226]) ).

tcf(c_577,plain,
    store(queue_13,seq,earray_16) = queue_17,
    inference(cnf_transformation,[],[f377]) ).

tcf(c_578,plain,
    store(queue_160,seq,earray_172) = queue_173,
    inference(cnf_transformation,[],[f378]) ).

tcf(c_579,plain,
    store(queue_173,tail,index_174) = queue_175,
    inference(cnf_transformation,[],[f229]) ).

tcf(c_580,plain,
    store(queue_175,seq,earray_178) = queue_179,
    inference(cnf_transformation,[],[f379]) ).

tcf(c_581,plain,
    store(queue_179,tail,index_180) = queue_181,
    inference(cnf_transformation,[],[f231]) ).

tcf(c_582,plain,
    store(queue_181,seq,earray_184) = queue_185,
    inference(cnf_transformation,[],[f380]) ).

tcf(c_583,plain,
    store(queue_185,tail,index_186) = queue_187,
    inference(cnf_transformation,[],[f233]) ).

tcf(c_584,plain,
    store(queue_17,tail,index_18) = queue_19,
    inference(cnf_transformation,[],[f234]) ).

tcf(c_585,plain,
    store(queue_187,head,index_189) = queue_190,
    inference(cnf_transformation,[],[f235]) ).

tcf(c_586,plain,
    store(queue_190,seq,earray_193) = queue_194,
    inference(cnf_transformation,[],[f381]) ).

tcf(c_587,plain,
    store(queue_194,tail,index_195) = queue_196,
    inference(cnf_transformation,[],[f237]) ).

tcf(c_588,plain,
    store(queue_196,seq,earray_199) = queue_200,
    inference(cnf_transformation,[],[f382]) ).

tcf(c_589,plain,
    store(queue_200,tail,index_201) = queue_202,
    inference(cnf_transformation,[],[f239]) ).

tcf(c_590,plain,
    store(queue_202,seq,earray_205) = queue_206,
    inference(cnf_transformation,[],[f383]) ).

tcf(c_591,plain,
    store(queue_206,tail,index_207) = queue_208,
    inference(cnf_transformation,[],[f241]) ).

tcf(c_592,plain,
    store(queue_208,head,index_210) = queue_211,
    inference(cnf_transformation,[],[f242]) ).

tcf(c_593,plain,
    store(queue_19,seq,earray_22) = queue_23,
    inference(cnf_transformation,[],[f384]) ).

tcf(c_594,plain,
    store(queue_23,tail,index_24) = queue_25,
    inference(cnf_transformation,[],[f244]) ).

tcf(c_595,plain,
    store(queue_25,head,index_27) = queue_28,
    inference(cnf_transformation,[],[f245]) ).

tcf(c_596,plain,
    store(queue_28,seq,earray_31) = queue_32,
    inference(cnf_transformation,[],[f385]) ).

tcf(c_597,plain,
    store(queue_32,tail,index_33) = queue_34,
    inference(cnf_transformation,[],[f247]) ).

tcf(c_598,plain,
    store(queue_34,seq,earray_37) = queue_38,
    inference(cnf_transformation,[],[f386]) ).

tcf(c_599,plain,
    store(queue_38,tail,index_39) = queue_40,
    inference(cnf_transformation,[],[f249]) ).

tcf(c_600,plain,
    store(queue_40,seq,earray_43) = queue_44,
    inference(cnf_transformation,[],[f387]) ).

tcf(c_601,plain,
    store(queue_44,tail,index_45) = queue_46,
    inference(cnf_transformation,[],[f251]) ).

tcf(c_602,plain,
    store(queue_46,head,index_48) = queue_49,
    inference(cnf_transformation,[],[f252]) ).

tcf(c_603,plain,
    store(queue_1,seq,earray_4) = queue_5,
    inference(cnf_transformation,[],[f388]) ).

tcf(c_604,plain,
    store(queue_49,seq,earray_52) = queue_53,
    inference(cnf_transformation,[],[f389]) ).

tcf(c_605,plain,
    store(queue_53,tail,index_54) = queue_55,
    inference(cnf_transformation,[],[f255]) ).

tcf(c_606,plain,
    store(queue_55,seq,earray_58) = queue_59,
    inference(cnf_transformation,[],[f390]) ).

tcf(c_607,plain,
    store(queue_59,tail,index_60) = queue_61,
    inference(cnf_transformation,[],[f257]) ).

tcf(c_608,plain,
    store(queue_61,seq,earray_64) = queue_65,
    inference(cnf_transformation,[],[f391]) ).

tcf(c_609,plain,
    store(queue_65,tail,index_66) = queue_67,
    inference(cnf_transformation,[],[f259]) ).

tcf(c_610,plain,
    store(queue_5,tail,index_6) = queue_7,
    inference(cnf_transformation,[],[f260]) ).

tcf(c_611,plain,
    store(queue_67,head,index_69) = queue_70,
    inference(cnf_transformation,[],[f261]) ).

tcf(c_612,plain,
    store(queue_70,seq,earray_73) = queue_74,
    inference(cnf_transformation,[],[f392]) ).

tcf(c_613,plain,
    store(queue_74,tail,index_75) = queue_76,
    inference(cnf_transformation,[],[f263]) ).

tcf(c_614,plain,
    store(queue_7,seq,earray_79) = queue_80,
    inference(cnf_transformation,[],[f393]) ).

tcf(c_615,plain,
    store(queue_80,tail,index_81) = queue_82,
    inference(cnf_transformation,[],[f265]) ).

tcf(c_616,plain,
    store(queue_76,seq,earray_85) = queue_86,
    inference(cnf_transformation,[],[f394]) ).

tcf(c_617,plain,
    store(queue_86,tail,index_87) = queue_88,
    inference(cnf_transformation,[],[f267]) ).

tcf(c_618,plain,
    store(queue_88,seq,earray_91) = queue_92,
    inference(cnf_transformation,[],[f395]) ).

tcf(c_619,plain,
    store(queue_92,tail,index_93) = queue_94,
    inference(cnf_transformation,[],[f269]) ).

tcf(c_620,plain,
    store(queue_94,head,index_96) = queue_97,
    inference(cnf_transformation,[],[f270]) ).

tcf(c_621,negated_conjecture,
    e10 != elem_214,
    inference(cnf_transformation,[],[f303]) ).

tcf(c_1225,negated_conjecture,
    e10 != elem_214,
    inference(demodulation,[status(thm)],[c_621]) ).

tcf(c_1805,plain,
    select(earray_16,index_15) = e10,
    inference(superposition,[status(thm)],[c_425,c_351]) ).

tcf(c_1822,plain,
    index_15 != index_18,
    inference(superposition,[status(thm)],[c_501,c_405]) ).

tcf(c_1916,plain,
    s(index_18) != index_15,
    inference(superposition,[status(thm)],[c_501,c_404]) ).

tcf(c_1945,plain,
    ! [X0: $i] :
      ( ( X0 = index_99 )
      | ( select(earray_100,X0) = select(earray_98,X0) ) ),
    inference(superposition,[status(thm)],[c_407,c_352]) ).

tcf(c_1950,plain,
    ! [X0: $i] :
      ( ( X0 = index_105 )
      | ( select(earray_104,X0) = select(earray_106,X0) ) ),
    inference(superposition,[status(thm)],[c_409,c_352]) ).

tcf(c_1955,plain,
    ! [X0: $i] :
      ( ( X0 = index_111 )
      | ( select(earray_110,X0) = select(earray_112,X0) ) ),
    inference(superposition,[status(thm)],[c_411,c_352]) ).

tcf(c_1960,plain,
    ! [X0: $i] :
      ( ( X0 = index_120 )
      | ( select(earray_119,X0) = select(earray_121,X0) ) ),
    inference(superposition,[status(thm)],[c_413,c_352]) ).

tcf(c_1965,plain,
    ! [X0: $i] :
      ( ( X0 = index_126 )
      | ( select(earray_125,X0) = select(earray_127,X0) ) ),
    inference(superposition,[status(thm)],[c_415,c_352]) ).

tcf(c_1970,plain,
    ! [X0: $i] :
      ( ( X0 = index_132 )
      | ( select(earray_131,X0) = select(earray_133,X0) ) ),
    inference(superposition,[status(thm)],[c_417,c_352]) ).

tcf(c_1975,plain,
    ! [X0: $i] :
      ( ( X0 = index_141 )
      | ( select(earray_140,X0) = select(earray_142,X0) ) ),
    inference(superposition,[status(thm)],[c_420,c_352]) ).

tcf(c_1980,plain,
    ! [X0: $i] :
      ( ( X0 = index_147 )
      | ( select(earray_146,X0) = select(earray_148,X0) ) ),
    inference(superposition,[status(thm)],[c_422,c_352]) ).

tcf(c_1990,plain,
    ! [X0: $i] :
      ( ( X0 = index_162 )
      | ( select(earray_161,X0) = select(earray_163,X0) ) ),
    inference(superposition,[status(thm)],[c_427,c_352]) ).

tcf(c_2025,plain,
    ! [X0: $i] :
      ( ( X0 = index_21 )
      | ( select(earray_20,X0) = select(earray_22,X0) ) ),
    inference(superposition,[status(thm)],[c_443,c_352]) ).

tcf(c_2030,plain,
    ! [X0: $i] :
      ( ( X0 = index_30 )
      | ( select(earray_29,X0) = select(earray_31,X0) ) ),
    inference(superposition,[status(thm)],[c_445,c_352]) ).

tcf(c_2035,plain,
    ! [X0: $i] :
      ( ( X0 = index_36 )
      | ( select(earray_35,X0) = select(earray_37,X0) ) ),
    inference(superposition,[status(thm)],[c_447,c_352]) ).

tcf(c_2045,plain,
    ! [X0: $i] :
      ( ( X0 = index_42 )
      | ( select(earray_41,X0) = select(earray_43,X0) ) ),
    inference(superposition,[status(thm)],[c_450,c_352]) ).

tcf(c_2050,plain,
    ! [X0: $i] :
      ( ( X0 = index_51 )
      | ( select(earray_50,X0) = select(earray_52,X0) ) ),
    inference(superposition,[status(thm)],[c_452,c_352]) ).

tcf(c_2055,plain,
    ! [X0: $i] :
      ( ( X0 = index_57 )
      | ( select(earray_56,X0) = select(earray_58,X0) ) ),
    inference(superposition,[status(thm)],[c_454,c_352]) ).

tcf(c_2060,plain,
    ! [X0: $i] :
      ( ( X0 = index_63 )
      | ( select(earray_62,X0) = select(earray_64,X0) ) ),
    inference(superposition,[status(thm)],[c_456,c_352]) ).

tcf(c_2065,plain,
    ! [X0: $i] :
      ( ( X0 = index_72 )
      | ( select(earray_71,X0) = select(earray_73,X0) ) ),
    inference(superposition,[status(thm)],[c_458,c_352]) ).

tcf(c_2075,plain,
    ! [X0: $i] :
      ( ( X0 = index_84 )
      | ( select(earray_83,X0) = select(earray_85,X0) ) ),
    inference(superposition,[status(thm)],[c_463,c_352]) ).

tcf(c_2085,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(q,X0) = select(queue_1,X0) ) ),
    inference(superposition,[status(thm)],[c_550,c_352]) ).

tcf(c_2086,plain,
    select(queue_1,head) = index_0,
    inference(superposition,[status(thm)],[c_550,c_351]) ).

tcf(c_2090,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_101,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_551,c_352]) ).

tcf(c_2091,plain,
    select(queue_101,seq) = earray_100,
    inference(superposition,[status(thm)],[c_551,c_351]) ).

tcf(c_2094,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_101,X0) = select(queue_103,X0) ) ),
    inference(superposition,[status(thm)],[c_552,c_352]) ).

tcf(c_2095,plain,
    select(queue_103,tail) = index_102,
    inference(superposition,[status(thm)],[c_552,c_351]) ).

tcf(c_2096,plain,
    index_105 = index_102,
    inference(light_normalisation,[status(thm)],[c_2095,c_470]) ).

tcf(c_2103,plain,
    s(index_99) = index_105,
    inference(demodulation,[status(thm)],[c_469,c_2096]) ).

tcf(c_2110,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_103,X0) = select(queue_107,X0) ) ),
    inference(superposition,[status(thm)],[c_553,c_352]) ).

tcf(c_2111,plain,
    select(queue_107,seq) = earray_106,
    inference(superposition,[status(thm)],[c_553,c_351]) ).

tcf(c_2114,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_107,X0) = select(queue_109,X0) ) ),
    inference(superposition,[status(thm)],[c_554,c_352]) ).

tcf(c_2115,plain,
    select(queue_109,tail) = index_108,
    inference(superposition,[status(thm)],[c_554,c_351]) ).

tcf(c_2116,plain,
    index_111 = index_108,
    inference(light_normalisation,[status(thm)],[c_2115,c_472]) ).

tcf(c_2124,plain,
    s(index_105) = index_111,
    inference(demodulation,[status(thm)],[c_471,c_2116]) ).

tcf(c_2128,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_11,X0) = select(queue_211,X0) ) ),
    inference(superposition,[status(thm)],[c_555,c_352]) ).

tcf(c_2132,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_109,X0) = select(queue_113,X0) ) ),
    inference(superposition,[status(thm)],[c_556,c_352]) ).

tcf(c_2133,plain,
    select(queue_113,seq) = earray_112,
    inference(superposition,[status(thm)],[c_556,c_351]) ).

tcf(c_2139,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_115,X0) = select(queue_113,X0) ) ),
    inference(superposition,[status(thm)],[c_557,c_352]) ).

tcf(c_2140,plain,
    select(queue_115,tail) = index_114,
    inference(superposition,[status(thm)],[c_557,c_351]) ).

tcf(c_2144,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_115,X0) = select(queue_118,X0) ) ),
    inference(superposition,[status(thm)],[c_558,c_352]) ).

tcf(c_2145,plain,
    select(queue_118,head) = index_117,
    inference(superposition,[status(thm)],[c_558,c_351]) ).

tcf(c_2149,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_118,X0) = select(queue_122,X0) ) ),
    inference(superposition,[status(thm)],[c_559,c_352]) ).

tcf(c_2150,plain,
    select(queue_122,seq) = earray_121,
    inference(superposition,[status(thm)],[c_559,c_351]) ).

tcf(c_2153,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_122,X0) = select(queue_124,X0) ) ),
    inference(superposition,[status(thm)],[c_560,c_352]) ).

tcf(c_2154,plain,
    select(queue_124,tail) = index_123,
    inference(superposition,[status(thm)],[c_560,c_351]) ).

tcf(c_2155,plain,
    index_126 = index_123,
    inference(light_normalisation,[status(thm)],[c_2154,c_479]) ).

tcf(c_2162,plain,
    s(index_120) = index_126,
    inference(demodulation,[status(thm)],[c_478,c_2155]) ).

tcf(c_2166,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_124,X0) = select(queue_128,X0) ) ),
    inference(superposition,[status(thm)],[c_561,c_352]) ).

tcf(c_2167,plain,
    select(queue_128,seq) = earray_127,
    inference(superposition,[status(thm)],[c_561,c_351]) ).

tcf(c_2170,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_11,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_562,c_352]) ).

tcf(c_2171,plain,
    select(queue_13,tail) = index_12,
    inference(superposition,[status(thm)],[c_562,c_351]) ).

tcf(c_2172,plain,
    index_15 = index_12,
    inference(light_normalisation,[status(thm)],[c_2171,c_488]) ).

tcf(c_2179,plain,
    s(index_9) = index_15,
    inference(demodulation,[status(thm)],[c_476,c_2172]) ).

tcf(c_2189,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_128,X0) = select(queue_130,X0) ) ),
    inference(superposition,[status(thm)],[c_563,c_352]) ).

tcf(c_2190,plain,
    select(queue_130,tail) = index_129,
    inference(superposition,[status(thm)],[c_563,c_351]) ).

tcf(c_2191,plain,
    index_132 = index_129,
    inference(light_normalisation,[status(thm)],[c_2190,c_481]) ).

tcf(c_2199,plain,
    s(index_126) = index_132,
    inference(demodulation,[status(thm)],[c_480,c_2191]) ).

tcf(c_2203,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_130,X0) = select(queue_134,X0) ) ),
    inference(superposition,[status(thm)],[c_564,c_352]) ).

tcf(c_2204,plain,
    select(queue_134,seq) = earray_133,
    inference(superposition,[status(thm)],[c_564,c_351]) ).

tcf(c_2207,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_136,X0) = select(queue_134,X0) ) ),
    inference(superposition,[status(thm)],[c_565,c_352]) ).

tcf(c_2208,plain,
    select(queue_136,tail) = index_135,
    inference(superposition,[status(thm)],[c_565,c_351]) ).

tcf(c_2317,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_136,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_566,c_352]) ).

tcf(c_2318,plain,
    select(queue_139,head) = index_138,
    inference(superposition,[status(thm)],[c_566,c_351]) ).

tcf(c_2322,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_139,X0) = select(queue_143,X0) ) ),
    inference(superposition,[status(thm)],[c_567,c_352]) ).

tcf(c_2323,plain,
    select(queue_143,seq) = earray_142,
    inference(superposition,[status(thm)],[c_567,c_351]) ).

tcf(c_2329,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_143,X0) = select(queue_145,X0) ) ),
    inference(superposition,[status(thm)],[c_568,c_352]) ).

tcf(c_2330,plain,
    select(queue_145,tail) = index_144,
    inference(superposition,[status(thm)],[c_568,c_351]) ).

tcf(c_2331,plain,
    index_147 = index_144,
    inference(light_normalisation,[status(thm)],[c_2330,c_487]) ).

tcf(c_2338,plain,
    s(index_141) = index_147,
    inference(demodulation,[status(thm)],[c_486,c_2331]) ).

tcf(c_2345,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_145,X0) = select(queue_149,X0) ) ),
    inference(superposition,[status(thm)],[c_569,c_352]) ).

tcf(c_2346,plain,
    select(queue_149,seq) = earray_148,
    inference(superposition,[status(thm)],[c_569,c_351]) ).

tcf(c_2349,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_149,X0) = select(queue_151,X0) ) ),
    inference(superposition,[status(thm)],[c_570,c_352]) ).

tcf(c_2350,plain,
    select(queue_151,tail) = index_150,
    inference(superposition,[status(thm)],[c_570,c_351]) ).

tcf(c_2351,plain,
    index_162 = index_150,
    inference(light_normalisation,[status(thm)],[c_2350,c_494]) ).

tcf(c_2358,plain,
    s(index_147) = index_162,
    inference(demodulation,[status(thm)],[c_489,c_2351]) ).

tcf(c_2362,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_155,X0) = select(queue_82,X0) ) ),
    inference(superposition,[status(thm)],[c_571,c_352]) ).

tcf(c_2366,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_157,X0) = select(queue_155,X0) ) ),
    inference(superposition,[status(thm)],[c_572,c_352]) ).

tcf(c_2367,plain,
    select(queue_157,tail) = index_156,
    inference(superposition,[status(thm)],[c_572,c_351]) ).

tcf(c_2375,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_157,X0) = select(queue_160,X0) ) ),
    inference(superposition,[status(thm)],[c_573,c_352]) ).

tcf(c_2376,plain,
    select(queue_160,head) = index_159,
    inference(superposition,[status(thm)],[c_573,c_351]) ).

tcf(c_2380,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_151,X0) = select(queue_164,X0) ) ),
    inference(superposition,[status(thm)],[c_574,c_352]) ).

tcf(c_2381,plain,
    select(queue_164,seq) = earray_163,
    inference(superposition,[status(thm)],[c_574,c_351]) ).

tcf(c_2384,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_166,X0) = select(queue_164,X0) ) ),
    inference(superposition,[status(thm)],[c_575,c_352]) ).

tcf(c_2389,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_166,X0) = select(queue_169,X0) ) ),
    inference(superposition,[status(thm)],[c_576,c_352]) ).

tcf(c_2390,plain,
    select(queue_169,head) = index_168,
    inference(superposition,[status(thm)],[c_576,c_351]) ).

tcf(c_2391,plain,
    index_213 = index_168,
    inference(light_normalisation,[status(thm)],[c_2390,c_516]) ).

tcf(c_2397,plain,
    s(index_167) = index_213,
    inference(demodulation,[status(thm)],[c_497,c_2391]) ).

tcf(c_2399,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_13,X0) = select(queue_17,X0) ) ),
    inference(superposition,[status(thm)],[c_577,c_352]) ).

tcf(c_2400,plain,
    select(queue_17,seq) = earray_16,
    inference(superposition,[status(thm)],[c_577,c_351]) ).

tcf(c_2403,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_160,X0) = select(queue_173,X0) ) ),
    inference(superposition,[status(thm)],[c_578,c_352]) ).

tcf(c_2410,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_173,X0) = select(queue_175,X0) ) ),
    inference(superposition,[status(thm)],[c_579,c_352]) ).

tcf(c_2411,plain,
    select(queue_175,tail) = index_174,
    inference(superposition,[status(thm)],[c_579,c_351]) ).

tcf(c_2412,plain,
    index_177 = index_174,
    inference(light_normalisation,[status(thm)],[c_2411,c_500]) ).

tcf(c_2418,plain,
    s(index_171) = index_177,
    inference(demodulation,[status(thm)],[c_499,c_2412]) ).

tcf(c_2425,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_175,X0) = select(queue_179,X0) ) ),
    inference(superposition,[status(thm)],[c_580,c_352]) ).

tcf(c_2429,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_179,X0) = select(queue_181,X0) ) ),
    inference(superposition,[status(thm)],[c_581,c_352]) ).

tcf(c_2430,plain,
    select(queue_181,tail) = index_180,
    inference(superposition,[status(thm)],[c_581,c_351]) ).

tcf(c_2431,plain,
    index_183 = index_180,
    inference(light_normalisation,[status(thm)],[c_2430,c_503]) ).

tcf(c_2438,plain,
    s(index_177) = index_183,
    inference(demodulation,[status(thm)],[c_502,c_2431]) ).

tcf(c_2441,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_181,X0) = select(queue_185,X0) ) ),
    inference(superposition,[status(thm)],[c_582,c_352]) ).

tcf(c_2445,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_187,X0) = select(queue_185,X0) ) ),
    inference(superposition,[status(thm)],[c_583,c_352]) ).

tcf(c_2446,plain,
    select(queue_187,tail) = index_186,
    inference(superposition,[status(thm)],[c_583,c_351]) ).

tcf(c_2454,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_17,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_584,c_352]) ).

tcf(c_2455,plain,
    select(queue_19,tail) = index_18,
    inference(superposition,[status(thm)],[c_584,c_351]) ).

tcf(c_2456,plain,
    index_21 = index_18,
    inference(light_normalisation,[status(thm)],[c_2455,c_514]) ).

tcf(c_2461,plain,
    s(index_21) != index_15,
    inference(demodulation,[status(thm)],[c_1916,c_2456]) ).

tcf(c_2462,plain,
    index_15 != index_21,
    inference(demodulation,[status(thm)],[c_1822,c_2456]) ).

tcf(c_2463,plain,
    s(index_15) = index_21,
    inference(demodulation,[status(thm)],[c_501,c_2456]) ).

tcf(c_2464,plain,
    index_15 != index_24,
    inference(light_normalisation,[status(thm)],[c_2461,c_517]) ).

tcf(c_2466,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_187,X0) = select(queue_190,X0) ) ),
    inference(superposition,[status(thm)],[c_585,c_352]) ).

tcf(c_2467,plain,
    select(queue_190,head) = index_189,
    inference(superposition,[status(thm)],[c_585,c_351]) ).

tcf(c_2471,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_190,X0) = select(queue_194,X0) ) ),
    inference(superposition,[status(thm)],[c_586,c_352]) ).

tcf(c_2475,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_194,X0) = select(queue_196,X0) ) ),
    inference(superposition,[status(thm)],[c_587,c_352]) ).

tcf(c_2476,plain,
    select(queue_196,tail) = index_195,
    inference(superposition,[status(thm)],[c_587,c_351]) ).

tcf(c_2477,plain,
    index_198 = index_195,
    inference(light_normalisation,[status(thm)],[c_2476,c_509]) ).

tcf(c_2483,plain,
    s(index_192) = index_198,
    inference(demodulation,[status(thm)],[c_508,c_2477]) ).

tcf(c_2486,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_196,X0) = select(queue_200,X0) ) ),
    inference(superposition,[status(thm)],[c_588,c_352]) ).

tcf(c_2498,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_200,X0) = select(queue_202,X0) ) ),
    inference(superposition,[status(thm)],[c_589,c_352]) ).

tcf(c_2499,plain,
    select(queue_202,tail) = index_201,
    inference(superposition,[status(thm)],[c_589,c_351]) ).

tcf(c_2500,plain,
    index_204 = index_201,
    inference(light_normalisation,[status(thm)],[c_2499,c_511]) ).

tcf(c_2507,plain,
    s(index_198) = index_204,
    inference(demodulation,[status(thm)],[c_510,c_2500]) ).

tcf(c_2511,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_202,X0) = select(queue_206,X0) ) ),
    inference(superposition,[status(thm)],[c_590,c_352]) ).

tcf(c_2515,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_208,X0) = select(queue_206,X0) ) ),
    inference(superposition,[status(thm)],[c_591,c_352]) ).

tcf(c_2516,plain,
    select(queue_208,tail) = index_207,
    inference(superposition,[status(thm)],[c_591,c_351]) ).

tcf(c_2520,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_208,X0) = select(queue_211,X0) ) ),
    inference(superposition,[status(thm)],[c_592,c_352]) ).

tcf(c_2521,plain,
    select(queue_211,head) = index_210,
    inference(superposition,[status(thm)],[c_592,c_351]) ).

tcf(c_2525,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_19,X0) = select(queue_23,X0) ) ),
    inference(superposition,[status(thm)],[c_593,c_352]) ).

tcf(c_2526,plain,
    select(queue_23,seq) = earray_22,
    inference(superposition,[status(thm)],[c_593,c_351]) ).

tcf(c_2533,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_25,X0) = select(queue_23,X0) ) ),
    inference(superposition,[status(thm)],[c_594,c_352]) ).

tcf(c_2534,plain,
    select(queue_25,tail) = index_24,
    inference(superposition,[status(thm)],[c_594,c_351]) ).

tcf(c_2538,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_25,X0) = select(queue_28,X0) ) ),
    inference(superposition,[status(thm)],[c_595,c_352]) ).

tcf(c_2539,plain,
    select(queue_28,head) = index_27,
    inference(superposition,[status(thm)],[c_595,c_351]) ).

tcf(c_2543,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_28,X0) = select(queue_32,X0) ) ),
    inference(superposition,[status(thm)],[c_596,c_352]) ).

tcf(c_2544,plain,
    select(queue_32,seq) = earray_31,
    inference(superposition,[status(thm)],[c_596,c_351]) ).

tcf(c_2548,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_32,X0) = select(queue_34,X0) ) ),
    inference(superposition,[status(thm)],[c_597,c_352]) ).

tcf(c_2549,plain,
    select(queue_34,tail) = index_33,
    inference(superposition,[status(thm)],[c_597,c_351]) ).

tcf(c_2550,plain,
    index_36 = index_33,
    inference(light_normalisation,[status(thm)],[c_2549,c_523]) ).

tcf(c_2556,plain,
    s(index_30) = index_36,
    inference(demodulation,[status(thm)],[c_522,c_2550]) ).

tcf(c_2559,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_34,X0) = select(queue_38,X0) ) ),
    inference(superposition,[status(thm)],[c_598,c_352]) ).

tcf(c_2560,plain,
    select(queue_38,seq) = earray_37,
    inference(superposition,[status(thm)],[c_598,c_351]) ).

tcf(c_2563,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_38,X0) = select(queue_40,X0) ) ),
    inference(superposition,[status(thm)],[c_599,c_352]) ).

tcf(c_2564,plain,
    select(queue_40,tail) = index_39,
    inference(superposition,[status(thm)],[c_599,c_351]) ).

tcf(c_2565,plain,
    index_42 = index_39,
    inference(light_normalisation,[status(thm)],[c_2564,c_525]) ).

tcf(c_2571,plain,
    s(index_36) = index_42,
    inference(demodulation,[status(thm)],[c_524,c_2565]) ).

tcf(c_2574,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_40,X0) = select(queue_44,X0) ) ),
    inference(superposition,[status(thm)],[c_600,c_352]) ).

tcf(c_2575,plain,
    select(queue_44,seq) = earray_43,
    inference(superposition,[status(thm)],[c_600,c_351]) ).

tcf(c_2587,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_46,X0) = select(queue_44,X0) ) ),
    inference(superposition,[status(thm)],[c_601,c_352]) ).

tcf(c_2588,plain,
    select(queue_46,tail) = index_45,
    inference(superposition,[status(thm)],[c_601,c_351]) ).

tcf(c_2593,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_46,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_602,c_352]) ).

tcf(c_2594,plain,
    select(queue_49,head) = index_48,
    inference(superposition,[status(thm)],[c_602,c_351]) ).

tcf(c_2706,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_1,X0) = select(queue_5,X0) ) ),
    inference(superposition,[status(thm)],[c_603,c_352]) ).

tcf(c_2710,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_49,X0) = select(queue_53,X0) ) ),
    inference(superposition,[status(thm)],[c_604,c_352]) ).

tcf(c_2711,plain,
    select(queue_53,seq) = earray_52,
    inference(superposition,[status(thm)],[c_604,c_351]) ).

tcf(c_2714,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_53,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_605,c_352]) ).

tcf(c_2715,plain,
    select(queue_55,tail) = index_54,
    inference(superposition,[status(thm)],[c_605,c_351]) ).

tcf(c_2716,plain,
    index_57 = index_54,
    inference(light_normalisation,[status(thm)],[c_2715,c_531]) ).

tcf(c_2722,plain,
    s(index_51) = index_57,
    inference(demodulation,[status(thm)],[c_530,c_2716]) ).

tcf(c_2729,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_55,X0) = select(queue_59,X0) ) ),
    inference(superposition,[status(thm)],[c_606,c_352]) ).

tcf(c_2730,plain,
    select(queue_59,seq) = earray_58,
    inference(superposition,[status(thm)],[c_606,c_351]) ).

tcf(c_2733,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_59,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_607,c_352]) ).

tcf(c_2734,plain,
    select(queue_61,tail) = index_60,
    inference(superposition,[status(thm)],[c_607,c_351]) ).

tcf(c_2735,plain,
    index_63 = index_60,
    inference(light_normalisation,[status(thm)],[c_2734,c_534]) ).

tcf(c_2742,plain,
    s(index_57) = index_63,
    inference(demodulation,[status(thm)],[c_533,c_2735]) ).

tcf(c_2746,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_61,X0) = select(queue_65,X0) ) ),
    inference(superposition,[status(thm)],[c_608,c_352]) ).

tcf(c_2747,plain,
    select(queue_65,seq) = earray_64,
    inference(superposition,[status(thm)],[c_608,c_351]) ).

tcf(c_2750,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_67,X0) = select(queue_65,X0) ) ),
    inference(superposition,[status(thm)],[c_609,c_352]) ).

tcf(c_2751,plain,
    select(queue_67,tail) = index_66,
    inference(superposition,[status(thm)],[c_609,c_351]) ).

tcf(c_2755,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_5,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_610,c_352]) ).

tcf(c_2756,plain,
    select(queue_7,tail) = index_6,
    inference(superposition,[status(thm)],[c_610,c_351]) ).

tcf(c_2757,plain,
    index_78 = index_6,
    inference(light_normalisation,[status(thm)],[c_2756,c_540]) ).

tcf(c_2763,plain,
    s(index_3) = index_78,
    inference(demodulation,[status(thm)],[c_532,c_2757]) ).

tcf(c_2766,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_67,X0) = select(queue_70,X0) ) ),
    inference(superposition,[status(thm)],[c_611,c_352]) ).

tcf(c_2767,plain,
    select(queue_70,head) = index_69,
    inference(superposition,[status(thm)],[c_611,c_351]) ).

tcf(c_2779,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_70,X0) = select(queue_74,X0) ) ),
    inference(superposition,[status(thm)],[c_612,c_352]) ).

tcf(c_2780,plain,
    select(queue_74,seq) = earray_73,
    inference(superposition,[status(thm)],[c_612,c_351]) ).

tcf(c_2783,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_74,X0) = select(queue_76,X0) ) ),
    inference(superposition,[status(thm)],[c_613,c_352]) ).

tcf(c_2784,plain,
    select(queue_76,tail) = index_75,
    inference(superposition,[status(thm)],[c_613,c_351]) ).

tcf(c_2785,plain,
    index_84 = index_75,
    inference(light_normalisation,[status(thm)],[c_2784,c_542]) ).

tcf(c_2791,plain,
    s(index_72) = index_84,
    inference(demodulation,[status(thm)],[c_539,c_2785]) ).

tcf(c_2794,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_7,X0) = select(queue_80,X0) ) ),
    inference(superposition,[status(thm)],[c_614,c_352]) ).

tcf(c_2798,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_80,X0) = select(queue_82,X0) ) ),
    inference(superposition,[status(thm)],[c_615,c_352]) ).

tcf(c_2799,plain,
    select(queue_82,tail) = index_81,
    inference(superposition,[status(thm)],[c_615,c_351]) ).

tcf(c_2800,plain,
    index_153 = index_81,
    inference(light_normalisation,[status(thm)],[c_2799,c_490]) ).

tcf(c_2807,plain,
    s(index_78) = index_153,
    inference(demodulation,[status(thm)],[c_541,c_2800]) ).

tcf(c_2810,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_76,X0) = select(queue_86,X0) ) ),
    inference(superposition,[status(thm)],[c_616,c_352]) ).

tcf(c_2811,plain,
    select(queue_86,seq) = earray_85,
    inference(superposition,[status(thm)],[c_616,c_351]) ).

tcf(c_2822,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_86,X0) = select(queue_88,X0) ) ),
    inference(superposition,[status(thm)],[c_617,c_352]) ).

tcf(c_2823,plain,
    select(queue_88,tail) = index_87,
    inference(superposition,[status(thm)],[c_617,c_351]) ).

tcf(c_2824,plain,
    index_90 = index_87,
    inference(light_normalisation,[status(thm)],[c_2823,c_545]) ).

tcf(c_2831,plain,
    s(index_84) = index_90,
    inference(demodulation,[status(thm)],[c_543,c_2824]) ).

tcf(c_2834,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( select(queue_88,X0) = select(queue_92,X0) ) ),
    inference(superposition,[status(thm)],[c_618,c_352]) ).

tcf(c_2835,plain,
    select(queue_92,seq) = earray_91,
    inference(superposition,[status(thm)],[c_618,c_351]) ).

tcf(c_2838,plain,
    ! [X0: $i] :
      ( ( X0 = tail )
      | ( select(queue_94,X0) = select(queue_92,X0) ) ),
    inference(superposition,[status(thm)],[c_619,c_352]) ).

tcf(c_2839,plain,
    select(queue_94,tail) = index_93,
    inference(superposition,[status(thm)],[c_619,c_351]) ).

tcf(c_2843,plain,
    ! [X0: $i] :
      ( ( X0 = head )
      | ( select(queue_94,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_620,c_352]) ).

tcf(c_2844,plain,
    select(queue_97,head) = index_96,
    inference(superposition,[status(thm)],[c_620,c_351]) ).

tcf(c_2877,plain,
    s(s(index_21)) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_403]) ).

tcf(c_2912,plain,
    s(index_24) != index_15,
    inference(light_normalisation,[status(thm)],[c_2877,c_517]) ).

tcf(c_2942,plain,
    s(s(s(index_21))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_402]) ).

tcf(c_2977,plain,
    s(s(index_24)) != index_15,
    inference(light_normalisation,[status(thm)],[c_2942,c_517]) ).

tcf(c_3041,plain,
    s(s(s(s(index_21)))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_401]) ).

tcf(c_3076,plain,
    s(s(s(index_24))) != index_15,
    inference(light_normalisation,[status(thm)],[c_3041,c_517]) ).

tcf(c_3137,plain,
    s(s(s(s(s(index_21))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_400]) ).

tcf(c_3172,plain,
    s(s(s(s(index_24)))) != index_15,
    inference(light_normalisation,[status(thm)],[c_3137,c_517]) ).

tcf(c_3281,plain,
    s(s(s(s(s(s(index_21)))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_399]) ).

tcf(c_3316,plain,
    s(s(s(s(s(index_24))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_3281,c_517]) ).

tcf(c_3341,plain,
    s(s(s(s(s(s(s(index_21))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_398]) ).

tcf(c_3376,plain,
    s(s(s(s(s(s(index_24)))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_3341,c_517]) ).

tcf(c_3436,plain,
    s(s(s(s(s(s(s(s(index_21)))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_397]) ).

tcf(c_3471,plain,
    s(s(s(s(s(s(s(index_24))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_3436,c_517]) ).

tcf(c_3587,plain,
    s(s(s(s(s(s(s(s(s(index_21))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_396]) ).

tcf(c_3622,plain,
    s(s(s(s(s(s(s(s(index_24)))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_3587,c_517]) ).

tcf(c_3805,plain,
    s(s(s(s(s(s(s(s(s(s(index_21)))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_395]) ).

tcf(c_3840,plain,
    s(s(s(s(s(s(s(s(s(index_24))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_3805,c_517]) ).

tcf(c_4005,plain,
    s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_394]) ).

tcf(c_4040,plain,
    s(s(s(s(s(s(s(s(s(s(index_24)))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_4005,c_517]) ).

tcf(c_4190,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_393]) ).

tcf(c_4225,plain,
    s(s(s(s(s(s(s(s(s(s(s(index_24))))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_4190,c_517]) ).

tcf(c_4282,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_392]) ).

tcf(c_4317,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(index_24)))))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_4282,c_517]) ).

tcf(c_4410,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_391]) ).

tcf(c_4445,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(index_24))))))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_4410,c_517]) ).

tcf(c_4553,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_390]) ).

tcf(c_4588,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_24)))))))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_4553,c_517]) ).

tcf(c_5954,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_389]) ).

tcf(c_5989,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_24))))))))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_5954,c_517]) ).

tcf(c_6175,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21))))))))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_388]) ).

tcf(c_6210,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_24)))))))))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_6175,c_517]) ).

tcf(c_6319,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_21)))))))))))))))))) != index_15,
    inference(superposition,[status(thm)],[c_2463,c_387]) ).

tcf(c_6354,plain,
    s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_24))))))))))))))))) != index_15,
    inference(light_normalisation,[status(thm)],[c_6319,c_517]) ).

tcf(c_14159,plain,
    ( ( head = tail )
    | ( select(queue_1,tail) = index_0 ) ),
    inference(superposition,[status(thm)],[c_468,c_2085]) ).

tcf(c_14161,plain,
    ( ( index_3 = index_0 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_14159,c_520]) ).

tcf(c_14162,plain,
    index_3 = index_0,
    inference(forward_subsumption_resolution,[status(thm)],[c_14161,c_353]) ).

tcf(c_14163,plain,
    select(queue_1,head) = index_3,
    inference(demodulation,[status(thm)],[c_2086,c_14162]) ).

tcf(c_14182,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_97,X0) ) ),
    inference(superposition,[status(thm)],[c_2094,c_2090]) ).

tcf(c_14183,plain,
    ( ( tail = seq )
    | ( select(queue_103,seq) = earray_100 ) ),
    inference(superposition,[status(thm)],[c_2094,c_2091]) ).

tcf(c_14184,plain,
    ( ( earray_100 = earray_104 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_14183,c_408]) ).

tcf(c_14185,plain,
    earray_100 = earray_104,
    inference(forward_subsumption_resolution,[status(thm)],[c_14184,c_355]) ).

tcf(c_14189,plain,
    ! [X0: $i] :
      ( ( X0 = index_105 )
      | ( select(earray_100,X0) = select(earray_106,X0) ) ),
    inference(demodulation,[status(thm)],[c_1950,c_14185]) ).

tcf(c_14209,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_103,X0) = select(queue_109,X0) ) ),
    inference(superposition,[status(thm)],[c_2114,c_2110]) ).

tcf(c_14210,plain,
    ( ( tail = seq )
    | ( select(queue_109,seq) = earray_106 ) ),
    inference(superposition,[status(thm)],[c_2114,c_2111]) ).

tcf(c_14211,plain,
    ( ( earray_106 = earray_110 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_14210,c_410]) ).

tcf(c_14212,plain,
    earray_106 = earray_110,
    inference(forward_subsumption_resolution,[status(thm)],[c_14211,c_355]) ).

tcf(c_14216,plain,
    ! [X0: $i] :
      ( ( X0 = index_111 )
      | ( select(earray_106,X0) = select(earray_112,X0) ) ),
    inference(demodulation,[status(thm)],[c_1955,c_14212]) ).

tcf(c_14277,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_115,X0) = select(queue_109,X0) ) ),
    inference(superposition,[status(thm)],[c_2139,c_2132]) ).

tcf(c_14278,plain,
    ( ( tail = seq )
    | ( select(queue_115,seq) = earray_112 ) ),
    inference(superposition,[status(thm)],[c_2139,c_2133]) ).

tcf(c_14279,plain,
    select(queue_115,seq) = earray_112,
    inference(forward_subsumption_resolution,[status(thm)],[c_14278,c_355]) ).

tcf(c_14290,plain,
    ( ( head = seq )
    | ( select(queue_115,seq) = earray_119 ) ),
    inference(superposition,[status(thm)],[c_2144,c_412]) ).

tcf(c_14291,plain,
    ( ( head = tail )
    | ( select(queue_115,tail) = index_120 ) ),
    inference(superposition,[status(thm)],[c_2144,c_477]) ).

tcf(c_14293,plain,
    ( ( index_120 = index_114 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_14291,c_2140]) ).

tcf(c_14294,plain,
    index_120 = index_114,
    inference(forward_subsumption_resolution,[status(thm)],[c_14293,c_353]) ).

tcf(c_14295,plain,
    ( ( earray_112 = earray_119 )
    | ( head = seq ) ),
    inference(light_normalisation,[status(thm)],[c_14290,c_14279]) ).

tcf(c_14296,plain,
    earray_112 = earray_119,
    inference(forward_subsumption_resolution,[status(thm)],[c_14295,c_354]) ).

tcf(c_14322,plain,
    s(index_111) = index_120,
    inference(demodulation,[status(thm)],[c_473,c_14294]) ).

tcf(c_14343,plain,
    ! [X0: $i] :
      ( ( X0 = index_120 )
      | ( select(earray_112,X0) = select(earray_121,X0) ) ),
    inference(demodulation,[status(thm)],[c_1960,c_14296]) ).

tcf(c_14859,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_118,X0) = select(queue_124,X0) ) ),
    inference(superposition,[status(thm)],[c_2153,c_2149]) ).

tcf(c_14860,plain,
    ( ( tail = seq )
    | ( select(queue_124,seq) = earray_121 ) ),
    inference(superposition,[status(thm)],[c_2153,c_2150]) ).

tcf(c_14861,plain,
    ( ( earray_121 = earray_125 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_14860,c_414]) ).

tcf(c_14862,plain,
    earray_121 = earray_125,
    inference(forward_subsumption_resolution,[status(thm)],[c_14861,c_355]) ).

tcf(c_14866,plain,
    ! [X0: $i] :
      ( ( X0 = index_126 )
      | ( select(earray_121,X0) = select(earray_127,X0) ) ),
    inference(demodulation,[status(thm)],[c_1965,c_14862]) ).

tcf(c_14886,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_211,X0) ) ),
    inference(superposition,[status(thm)],[c_2170,c_2128]) ).

tcf(c_14907,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_124,X0) = select(queue_130,X0) ) ),
    inference(superposition,[status(thm)],[c_2189,c_2166]) ).

tcf(c_14908,plain,
    ( ( tail = seq )
    | ( select(queue_130,seq) = earray_127 ) ),
    inference(superposition,[status(thm)],[c_2189,c_2167]) ).

tcf(c_14909,plain,
    ( ( earray_127 = earray_131 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_14908,c_416]) ).

tcf(c_14910,plain,
    earray_127 = earray_131,
    inference(forward_subsumption_resolution,[status(thm)],[c_14909,c_355]) ).

tcf(c_14914,plain,
    ! [X0: $i] :
      ( ( X0 = index_132 )
      | ( select(earray_127,X0) = select(earray_133,X0) ) ),
    inference(demodulation,[status(thm)],[c_1970,c_14910]) ).

tcf(c_14933,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_136,X0) = select(queue_130,X0) ) ),
    inference(superposition,[status(thm)],[c_2207,c_2203]) ).

tcf(c_14934,plain,
    ( ( tail = seq )
    | ( select(queue_136,seq) = earray_133 ) ),
    inference(superposition,[status(thm)],[c_2207,c_2204]) ).

tcf(c_14935,plain,
    select(queue_136,seq) = earray_133,
    inference(forward_subsumption_resolution,[status(thm)],[c_14934,c_355]) ).

tcf(c_14946,plain,
    ( ( head = seq )
    | ( select(queue_136,seq) = earray_140 ) ),
    inference(superposition,[status(thm)],[c_2317,c_419]) ).

tcf(c_14947,plain,
    ( ( head = tail )
    | ( select(queue_136,tail) = index_141 ) ),
    inference(superposition,[status(thm)],[c_2317,c_485]) ).

tcf(c_14949,plain,
    ( ( index_141 = index_135 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_14947,c_2208]) ).

tcf(c_14950,plain,
    index_141 = index_135,
    inference(forward_subsumption_resolution,[status(thm)],[c_14949,c_353]) ).

tcf(c_14951,plain,
    ( ( earray_133 = earray_140 )
    | ( head = seq ) ),
    inference(light_normalisation,[status(thm)],[c_14946,c_14935]) ).

tcf(c_14952,plain,
    earray_133 = earray_140,
    inference(forward_subsumption_resolution,[status(thm)],[c_14951,c_354]) ).

tcf(c_14994,plain,
    s(index_132) = index_141,
    inference(demodulation,[status(thm)],[c_482,c_14950]) ).

tcf(c_15028,plain,
    ! [X0: $i] :
      ( ( X0 = index_141 )
      | ( select(earray_133,X0) = select(earray_142,X0) ) ),
    inference(demodulation,[status(thm)],[c_1975,c_14952]) ).

tcf(c_15600,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_139,X0) = select(queue_145,X0) ) ),
    inference(superposition,[status(thm)],[c_2329,c_2322]) ).

tcf(c_15601,plain,
    ( ( tail = seq )
    | ( select(queue_145,seq) = earray_142 ) ),
    inference(superposition,[status(thm)],[c_2329,c_2323]) ).

tcf(c_15602,plain,
    ( ( earray_142 = earray_146 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_15601,c_421]) ).

tcf(c_15603,plain,
    earray_142 = earray_146,
    inference(forward_subsumption_resolution,[status(thm)],[c_15602,c_355]) ).

tcf(c_15607,plain,
    ! [X0: $i] :
      ( ( X0 = index_147 )
      | ( select(earray_142,X0) = select(earray_148,X0) ) ),
    inference(demodulation,[status(thm)],[c_1980,c_15603]) ).

tcf(c_15627,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_145,X0) = select(queue_151,X0) ) ),
    inference(superposition,[status(thm)],[c_2349,c_2345]) ).

tcf(c_15628,plain,
    ( ( tail = seq )
    | ( select(queue_151,seq) = earray_148 ) ),
    inference(superposition,[status(thm)],[c_2349,c_2346]) ).

tcf(c_15629,plain,
    ( ( earray_148 = earray_161 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_15628,c_426]) ).

tcf(c_15630,plain,
    earray_148 = earray_161,
    inference(forward_subsumption_resolution,[status(thm)],[c_15629,c_355]) ).

tcf(c_15634,plain,
    ! [X0: $i] :
      ( ( X0 = index_162 )
      | ( select(earray_148,X0) = select(earray_163,X0) ) ),
    inference(demodulation,[status(thm)],[c_1990,c_15630]) ).

tcf(c_15654,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_157,X0) = select(queue_82,X0) ) ),
    inference(superposition,[status(thm)],[c_2366,c_2362]) ).

tcf(c_15669,plain,
    ( ( head = tail )
    | ( select(queue_157,tail) = index_171 ) ),
    inference(superposition,[status(thm)],[c_2375,c_498]) ).

tcf(c_15671,plain,
    ( ( index_171 = index_156 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_15669,c_2367]) ).

tcf(c_15672,plain,
    index_171 = index_156,
    inference(forward_subsumption_resolution,[status(thm)],[c_15671,c_353]) ).

tcf(c_15700,plain,
    s(index_153) = index_171,
    inference(demodulation,[status(thm)],[c_491,c_15672]) ).

tcf(c_16199,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_166,X0) = select(queue_151,X0) ) ),
    inference(superposition,[status(thm)],[c_2384,c_2380]) ).

tcf(c_16200,plain,
    ( ( tail = seq )
    | ( select(queue_166,seq) = earray_163 ) ),
    inference(superposition,[status(thm)],[c_2384,c_2381]) ).

tcf(c_16201,plain,
    select(queue_166,seq) = earray_163,
    inference(forward_subsumption_resolution,[status(thm)],[c_16200,c_355]) ).

tcf(c_16211,plain,
    ( ( head = seq )
    | ( select(queue_166,seq) = earray_212 ) ),
    inference(superposition,[status(thm)],[c_2389,c_442]) ).

tcf(c_16213,plain,
    ( ( earray_163 = earray_212 )
    | ( head = seq ) ),
    inference(light_normalisation,[status(thm)],[c_16211,c_16201]) ).

tcf(c_16214,plain,
    earray_163 = earray_212,
    inference(forward_subsumption_resolution,[status(thm)],[c_16213,c_354]) ).

tcf(c_16216,plain,
    select(earray_163,index_213) = elem_214,
    inference(demodulation,[status(thm)],[c_467,c_16214]) ).

tcf(c_16237,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_160,X0) = select(queue_175,X0) ) ),
    inference(superposition,[status(thm)],[c_2410,c_2403]) ).

tcf(c_16264,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_175,X0) = select(queue_181,X0) ) ),
    inference(superposition,[status(thm)],[c_2429,c_2425]) ).

tcf(c_16358,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_187,X0) = select(queue_181,X0) ) ),
    inference(superposition,[status(thm)],[c_2445,c_2441]) ).

tcf(c_16370,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_13,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_2454,c_2399]) ).

tcf(c_16371,plain,
    ( ( tail = seq )
    | ( select(queue_19,seq) = earray_16 ) ),
    inference(superposition,[status(thm)],[c_2454,c_2400]) ).

tcf(c_16372,plain,
    ( ( earray_16 = earray_20 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_16371,c_439]) ).

tcf(c_16373,plain,
    earray_16 = earray_20,
    inference(forward_subsumption_resolution,[status(thm)],[c_16372,c_355]) ).

tcf(c_16377,plain,
    ! [X0: $i] :
      ( ( X0 = index_21 )
      | ( select(earray_16,X0) = select(earray_22,X0) ) ),
    inference(demodulation,[status(thm)],[c_2025,c_16373]) ).

tcf(c_16391,plain,
    ( ( head = tail )
    | ( select(queue_187,tail) = index_192 ) ),
    inference(superposition,[status(thm)],[c_2466,c_507]) ).

tcf(c_16393,plain,
    ( ( index_192 = index_186 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_16391,c_2446]) ).

tcf(c_16394,plain,
    index_192 = index_186,
    inference(forward_subsumption_resolution,[status(thm)],[c_16393,c_353]) ).

tcf(c_16437,plain,
    s(index_183) = index_192,
    inference(demodulation,[status(thm)],[c_504,c_16394]) ).

tcf(c_16754,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_190,X0) = select(queue_196,X0) ) ),
    inference(superposition,[status(thm)],[c_2475,c_2471]) ).

tcf(c_16781,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_196,X0) = select(queue_202,X0) ) ),
    inference(superposition,[status(thm)],[c_2498,c_2486]) ).

tcf(c_16808,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_208,X0) = select(queue_202,X0) ) ),
    inference(superposition,[status(thm)],[c_2515,c_2511]) ).

tcf(c_16822,plain,
    ( ( head = tail )
    | ( select(queue_208,tail) = index_9 ) ),
    inference(superposition,[status(thm)],[c_2520,c_544]) ).

tcf(c_16824,plain,
    ( ( index_9 = index_207 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_16822,c_2516]) ).

tcf(c_16825,plain,
    index_9 = index_207,
    inference(forward_subsumption_resolution,[status(thm)],[c_16824,c_353]) ).

tcf(c_16875,plain,
    s(index_204) = index_9,
    inference(demodulation,[status(thm)],[c_512,c_16825]) ).

tcf(c_17153,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_25,X0) = select(queue_19,X0) ) ),
    inference(superposition,[status(thm)],[c_2533,c_2525]) ).

tcf(c_17154,plain,
    ( ( tail = seq )
    | ( select(queue_25,seq) = earray_22 ) ),
    inference(superposition,[status(thm)],[c_2533,c_2526]) ).

tcf(c_17155,plain,
    select(queue_25,seq) = earray_22,
    inference(forward_subsumption_resolution,[status(thm)],[c_17154,c_355]) ).

tcf(c_17166,plain,
    ( ( head = seq )
    | ( select(queue_25,seq) = earray_29 ) ),
    inference(superposition,[status(thm)],[c_2538,c_444]) ).

tcf(c_17167,plain,
    ( ( head = tail )
    | ( select(queue_25,tail) = index_30 ) ),
    inference(superposition,[status(thm)],[c_2538,c_521]) ).

tcf(c_17169,plain,
    ( ( index_30 = index_24 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_17167,c_2534]) ).

tcf(c_17170,plain,
    index_30 = index_24,
    inference(forward_subsumption_resolution,[status(thm)],[c_17169,c_353]) ).

tcf(c_17171,plain,
    ( ( earray_22 = earray_29 )
    | ( head = seq ) ),
    inference(light_normalisation,[status(thm)],[c_17166,c_17155]) ).

tcf(c_17172,plain,
    earray_22 = earray_29,
    inference(forward_subsumption_resolution,[status(thm)],[c_17171,c_354]) ).

tcf(c_17199,plain,
    s(s(s(s(s(s(index_30)))))) != index_15,
    inference(demodulation,[status(thm)],[c_3376,c_17170]) ).

tcf(c_17202,plain,
    s(s(s(s(s(index_30))))) != index_15,
    inference(demodulation,[status(thm)],[c_3316,c_17170]) ).

tcf(c_17205,plain,
    s(s(s(s(index_30)))) != index_15,
    inference(demodulation,[status(thm)],[c_3172,c_17170]) ).

tcf(c_17208,plain,
    s(s(s(index_30))) != index_15,
    inference(demodulation,[status(thm)],[c_3076,c_17170]) ).

tcf(c_17211,plain,
    s(s(index_30)) != index_15,
    inference(demodulation,[status(thm)],[c_2977,c_17170]) ).

tcf(c_17215,plain,
    s(index_30) != index_15,
    inference(demodulation,[status(thm)],[c_2912,c_17170]) ).

tcf(c_17219,plain,
    index_15 != index_30,
    inference(demodulation,[status(thm)],[c_2464,c_17170]) ).

tcf(c_17224,plain,
    index_15 != index_36,
    inference(light_normalisation,[status(thm)],[c_17215,c_2556]) ).

tcf(c_17228,plain,
    index_15 != index_42,
    inference(light_normalisation,[status(thm)],[c_17211,c_2556,c_2571]) ).

tcf(c_17231,plain,
    index_15 != index_45,
    inference(light_normalisation,[status(thm)],[c_17208,c_526,c_2556,c_2571]) ).

tcf(c_17234,plain,
    s(index_45) != index_15,
    inference(light_normalisation,[status(thm)],[c_17205,c_526,c_2556,c_2571]) ).

tcf(c_17237,plain,
    s(s(index_45)) != index_15,
    inference(light_normalisation,[status(thm)],[c_17202,c_526,c_2556,c_2571]) ).

tcf(c_17240,plain,
    s(s(s(index_45))) != index_15,
    inference(light_normalisation,[status(thm)],[c_17199,c_526,c_2556,c_2571]) ).

tcf(c_17260,plain,
    ! [X0: $i] :
      ( ( X0 = index_30 )
      | ( select(earray_22,X0) = select(earray_31,X0) ) ),
    inference(demodulation,[status(thm)],[c_2030,c_17172]) ).

tcf(c_17532,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_28,X0) = select(queue_34,X0) ) ),
    inference(superposition,[status(thm)],[c_2548,c_2543]) ).

tcf(c_17533,plain,
    ( ( tail = seq )
    | ( select(queue_34,seq) = earray_31 ) ),
    inference(superposition,[status(thm)],[c_2548,c_2544]) ).

tcf(c_17534,plain,
    ( ( earray_31 = earray_35 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_17533,c_446]) ).

tcf(c_17535,plain,
    earray_31 = earray_35,
    inference(forward_subsumption_resolution,[status(thm)],[c_17534,c_355]) ).

tcf(c_17539,plain,
    ! [X0: $i] :
      ( ( X0 = index_36 )
      | ( select(earray_31,X0) = select(earray_37,X0) ) ),
    inference(demodulation,[status(thm)],[c_2035,c_17535]) ).

tcf(c_17679,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_34,X0) = select(queue_40,X0) ) ),
    inference(superposition,[status(thm)],[c_2563,c_2559]) ).

tcf(c_17680,plain,
    ( ( tail = seq )
    | ( select(queue_40,seq) = earray_37 ) ),
    inference(superposition,[status(thm)],[c_2563,c_2560]) ).

tcf(c_17681,plain,
    ( ( earray_37 = earray_41 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_17680,c_449]) ).

tcf(c_17682,plain,
    earray_37 = earray_41,
    inference(forward_subsumption_resolution,[status(thm)],[c_17681,c_355]) ).

tcf(c_17686,plain,
    ! [X0: $i] :
      ( ( X0 = index_42 )
      | ( select(earray_37,X0) = select(earray_43,X0) ) ),
    inference(demodulation,[status(thm)],[c_2045,c_17682]) ).

tcf(c_17706,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_46,X0) = select(queue_40,X0) ) ),
    inference(superposition,[status(thm)],[c_2587,c_2574]) ).

tcf(c_17707,plain,
    ( ( tail = seq )
    | ( select(queue_46,seq) = earray_43 ) ),
    inference(superposition,[status(thm)],[c_2587,c_2575]) ).

tcf(c_17708,plain,
    select(queue_46,seq) = earray_43,
    inference(forward_subsumption_resolution,[status(thm)],[c_17707,c_355]) ).

tcf(c_17719,plain,
    ( ( head = seq )
    | ( select(queue_46,seq) = earray_50 ) ),
    inference(superposition,[status(thm)],[c_2593,c_451]) ).

tcf(c_17720,plain,
    ( ( head = tail )
    | ( select(queue_46,tail) = index_51 ) ),
    inference(superposition,[status(thm)],[c_2593,c_529]) ).

tcf(c_17722,plain,
    ( ( index_51 = index_45 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_17720,c_2588]) ).

tcf(c_17723,plain,
    index_51 = index_45,
    inference(forward_subsumption_resolution,[status(thm)],[c_17722,c_353]) ).

tcf(c_17724,plain,
    ( ( earray_43 = earray_50 )
    | ( head = seq ) ),
    inference(light_normalisation,[status(thm)],[c_17719,c_17708]) ).

tcf(c_17725,plain,
    earray_43 = earray_50,
    inference(forward_subsumption_resolution,[status(thm)],[c_17724,c_354]) ).

tcf(c_17731,plain,
    s(s(s(index_51))) != index_15,
    inference(demodulation,[status(thm)],[c_17240,c_17723]) ).

tcf(c_17735,plain,
    s(s(index_51)) != index_15,
    inference(demodulation,[status(thm)],[c_17237,c_17723]) ).

tcf(c_17739,plain,
    s(index_51) != index_15,
    inference(demodulation,[status(thm)],[c_17234,c_17723]) ).

tcf(c_17746,plain,
    index_15 != index_51,
    inference(demodulation,[status(thm)],[c_17231,c_17723]) ).

tcf(c_17772,plain,
    s(index_42) = index_51,
    inference(demodulation,[status(thm)],[c_526,c_17723]) ).

tcf(c_17793,plain,
    index_15 != index_57,
    inference(light_normalisation,[status(thm)],[c_17739,c_2722]) ).

tcf(c_17797,plain,
    index_15 != index_63,
    inference(light_normalisation,[status(thm)],[c_17735,c_2722,c_2742]) ).

tcf(c_17801,plain,
    index_15 != index_66,
    inference(light_normalisation,[status(thm)],[c_17731,c_535,c_2722,c_2742]) ).

tcf(c_17807,plain,
    ! [X0: $i] :
      ( ( X0 = index_51 )
      | ( select(earray_43,X0) = select(earray_52,X0) ) ),
    inference(demodulation,[status(thm)],[c_2050,c_17725]) ).

tcf(c_17985,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_49,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_2714,c_2710]) ).

tcf(c_17986,plain,
    ( ( tail = seq )
    | ( select(queue_55,seq) = earray_52 ) ),
    inference(superposition,[status(thm)],[c_2714,c_2711]) ).

tcf(c_17987,plain,
    ( ( earray_52 = earray_56 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_17986,c_453]) ).

tcf(c_17988,plain,
    earray_52 = earray_56,
    inference(forward_subsumption_resolution,[status(thm)],[c_17987,c_355]) ).

tcf(c_17992,plain,
    ! [X0: $i] :
      ( ( X0 = index_57 )
      | ( select(earray_52,X0) = select(earray_58,X0) ) ),
    inference(demodulation,[status(thm)],[c_2055,c_17988]) ).

tcf(c_18012,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_55,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_2733,c_2729]) ).

tcf(c_18013,plain,
    ( ( tail = seq )
    | ( select(queue_61,seq) = earray_58 ) ),
    inference(superposition,[status(thm)],[c_2733,c_2730]) ).

tcf(c_18014,plain,
    ( ( earray_58 = earray_62 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_18013,c_455]) ).

tcf(c_18015,plain,
    earray_58 = earray_62,
    inference(forward_subsumption_resolution,[status(thm)],[c_18014,c_355]) ).

tcf(c_18019,plain,
    ! [X0: $i] :
      ( ( X0 = index_63 )
      | ( select(earray_58,X0) = select(earray_64,X0) ) ),
    inference(demodulation,[status(thm)],[c_2060,c_18015]) ).

tcf(c_18039,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_67,X0) = select(queue_61,X0) ) ),
    inference(superposition,[status(thm)],[c_2750,c_2746]) ).

tcf(c_18040,plain,
    ( ( tail = seq )
    | ( select(queue_67,seq) = earray_64 ) ),
    inference(superposition,[status(thm)],[c_2750,c_2747]) ).

tcf(c_18041,plain,
    select(queue_67,seq) = earray_64,
    inference(forward_subsumption_resolution,[status(thm)],[c_18040,c_355]) ).

tcf(c_18051,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_1,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_2755,c_2706]) ).

tcf(c_18126,plain,
    ( ( head = seq )
    | ( select(queue_67,seq) = earray_71 ) ),
    inference(superposition,[status(thm)],[c_2766,c_457]) ).

tcf(c_18127,plain,
    ( ( head = tail )
    | ( select(queue_67,tail) = index_72 ) ),
    inference(superposition,[status(thm)],[c_2766,c_538]) ).

tcf(c_18129,plain,
    ( ( index_72 = index_66 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_18127,c_2751]) ).

tcf(c_18130,plain,
    index_72 = index_66,
    inference(forward_subsumption_resolution,[status(thm)],[c_18129,c_353]) ).

tcf(c_18131,plain,
    ( ( earray_64 = earray_71 )
    | ( head = seq ) ),
    inference(light_normalisation,[status(thm)],[c_18126,c_18041]) ).

tcf(c_18132,plain,
    earray_64 = earray_71,
    inference(forward_subsumption_resolution,[status(thm)],[c_18131,c_354]) ).

tcf(c_18150,plain,
    index_15 != index_72,
    inference(demodulation,[status(thm)],[c_17801,c_18130]) ).

tcf(c_18182,plain,
    s(index_63) = index_72,
    inference(demodulation,[status(thm)],[c_535,c_18130]) ).

tcf(c_18220,plain,
    ! [X0: $i] :
      ( ( X0 = index_72 )
      | ( select(earray_64,X0) = select(earray_73,X0) ) ),
    inference(demodulation,[status(thm)],[c_2065,c_18132]) ).

tcf(c_18448,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_70,X0) = select(queue_76,X0) ) ),
    inference(superposition,[status(thm)],[c_2783,c_2779]) ).

tcf(c_18449,plain,
    ( ( tail = seq )
    | ( select(queue_76,seq) = earray_73 ) ),
    inference(superposition,[status(thm)],[c_2783,c_2780]) ).

tcf(c_18450,plain,
    ( ( earray_73 = earray_83 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_18449,c_462]) ).

tcf(c_18451,plain,
    earray_73 = earray_83,
    inference(forward_subsumption_resolution,[status(thm)],[c_18450,c_355]) ).

tcf(c_18455,plain,
    ! [X0: $i] :
      ( ( X0 = index_84 )
      | ( select(earray_73,X0) = select(earray_85,X0) ) ),
    inference(demodulation,[status(thm)],[c_2075,c_18451]) ).

tcf(c_18475,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_7,X0) = select(queue_82,X0) ) ),
    inference(superposition,[status(thm)],[c_2798,c_2794]) ).

tcf(c_18502,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_76,X0) = select(queue_88,X0) ) ),
    inference(superposition,[status(thm)],[c_2822,c_2810]) ).

tcf(c_18503,plain,
    ( ( tail = seq )
    | ( select(queue_88,seq) = earray_85 ) ),
    inference(superposition,[status(thm)],[c_2822,c_2811]) ).

tcf(c_18504,plain,
    ( ( earray_85 = earray_89 )
    | ( tail = seq ) ),
    inference(light_normalisation,[status(thm)],[c_18503,c_464]) ).

tcf(c_18505,plain,
    earray_85 = earray_89,
    inference(forward_subsumption_resolution,[status(thm)],[c_18504,c_355]) ).

tcf(c_18510,plain,
    store(earray_85,index_90,e20) = earray_91,
    inference(demodulation,[status(thm)],[c_465,c_18505]) ).

tcf(c_18581,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_94,X0) = select(queue_88,X0) ) ),
    inference(superposition,[status(thm)],[c_2838,c_2834]) ).

tcf(c_18582,plain,
    ( ( tail = seq )
    | ( select(queue_94,seq) = earray_91 ) ),
    inference(superposition,[status(thm)],[c_2838,c_2835]) ).

tcf(c_18583,plain,
    select(queue_94,seq) = earray_91,
    inference(forward_subsumption_resolution,[status(thm)],[c_18582,c_355]) ).

tcf(c_18594,plain,
    ( ( head = seq )
    | ( select(queue_94,seq) = earray_98 ) ),
    inference(superposition,[status(thm)],[c_2843,c_466]) ).

tcf(c_18595,plain,
    ( ( head = tail )
    | ( select(queue_94,tail) = index_99 ) ),
    inference(superposition,[status(thm)],[c_2843,c_549]) ).

tcf(c_18597,plain,
    ( ( index_99 = index_93 )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_18595,c_2839]) ).

tcf(c_18598,plain,
    index_99 = index_93,
    inference(forward_subsumption_resolution,[status(thm)],[c_18597,c_353]) ).

tcf(c_18599,plain,
    ( ( earray_98 = earray_91 )
    | ( head = seq ) ),
    inference(light_normalisation,[status(thm)],[c_18594,c_18583]) ).

tcf(c_18600,plain,
    earray_98 = earray_91,
    inference(forward_subsumption_resolution,[status(thm)],[c_18599,c_354]) ).

tcf(c_18650,plain,
    s(index_90) = index_99,
    inference(demodulation,[status(thm)],[c_546,c_18598]) ).

tcf(c_18912,plain,
    store(earray_85,index_90,e20) = earray_98,
    inference(light_normalisation,[status(thm)],[c_18510,c_18600]) ).

tcf(c_18913,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( select(earray_98,X0) = select(earray_85,X0) ) ),
    inference(superposition,[status(thm)],[c_18912,c_352]) ).

tcf(c_18935,plain,
    index_15 != index_84,
    inference(light_normalisation,[status(thm)],[c_3471,c_2556,c_2571,c_2722,c_2742,c_2791,c_17170,c_17772,c_18182]) ).

tcf(c_19005,plain,
    ( ( index_162 = index_213 )
    | ( select(earray_148,index_213) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_15634,c_16216]) ).

tcf(c_19012,plain,
    ( ( index_162 = index_213 )
    | ( index_147 = index_213 )
    | ( select(earray_142,index_213) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_15607,c_19005]) ).

tcf(c_19047,plain,
    ( ( index_162 = index_213 )
    | ( index_147 = index_213 )
    | ( index_141 = index_213 )
    | ( select(earray_133,index_213) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_15028,c_19012]) ).

tcf(c_19134,plain,
    ( ( index_162 = index_213 )
    | ( index_147 = index_213 )
    | ( index_141 = index_213 )
    | ( index_132 = index_213 )
    | ( select(earray_127,index_213) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_14914,c_19047]) ).

tcf(c_19177,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( select(earray_98,X0) = select(earray_73,X0) ) ),
    inference(superposition,[status(thm)],[c_18455,c_18913]) ).

tcf(c_19196,plain,
    ( ( index_162 = index_213 )
    | ( index_147 = index_213 )
    | ( index_141 = index_213 )
    | ( index_132 = index_213 )
    | ( index_126 = index_213 )
    | ( select(earray_121,index_213) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_14866,c_19134]) ).

tcf(c_19226,plain,
    ( ( index_162 = index_213 )
    | ( index_147 = index_213 )
    | ( index_141 = index_213 )
    | ( index_132 = index_213 )
    | ( index_126 = index_213 )
    | ( index_120 = index_213 )
    | ( select(earray_112,index_213) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_14343,c_19196]) ).

tcf(c_19237,plain,
    index_15 != index_90,
    inference(light_normalisation,[status(thm)],[c_3622,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_17170,c_17772,c_18182]) ).

tcf(c_19340,plain,
    index_99 != index_15,
    inference(light_normalisation,[status(thm)],[c_3840,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_19375,plain,
    index_105 != index_15,
    inference(light_normalisation,[status(thm)],[c_4040,c_2103,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_19409,plain,
    index_111 != index_15,
    inference(light_normalisation,[status(thm)],[c_4225,c_2103,c_2124,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_19434,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_103,head) = index_96 ) ),
    inference(superposition,[status(thm)],[c_14182,c_2844]) ).

tcf(c_19435,plain,
    select(queue_103,head) = index_96,
    inference(forward_subsumption_resolution,[status(thm)],[c_19434,c_354,c_353]) ).

tcf(c_19464,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_115,X0) = select(queue_103,X0) ) ),
    inference(superposition,[status(thm)],[c_14277,c_14209]) ).

tcf(c_19491,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_13,head) = index_210 ) ),
    inference(superposition,[status(thm)],[c_14886,c_2521]) ).

tcf(c_19492,plain,
    select(queue_13,head) = index_210,
    inference(forward_subsumption_resolution,[status(thm)],[c_19491,c_354,c_353]) ).

tcf(c_19518,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_136,X0) = select(queue_124,X0) ) ),
    inference(superposition,[status(thm)],[c_14933,c_14907]) ).

tcf(c_19563,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_166,X0) = select(queue_145,X0) ) ),
    inference(superposition,[status(thm)],[c_16199,c_15627]) ).

tcf(c_19603,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_187,X0) = select(queue_175,X0) ) ),
    inference(superposition,[status(thm)],[c_16358,c_16264]) ).

tcf(c_19648,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_208,X0) = select(queue_196,X0) ) ),
    inference(superposition,[status(thm)],[c_16808,c_16781]) ).

tcf(c_19663,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_25,X0) = select(queue_13,X0) ) ),
    inference(superposition,[status(thm)],[c_17153,c_16370]) ).

tcf(c_19698,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_46,X0) = select(queue_34,X0) ) ),
    inference(superposition,[status(thm)],[c_17706,c_17679]) ).

tcf(c_19734,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_67,X0) = select(queue_55,X0) ) ),
    inference(superposition,[status(thm)],[c_18039,c_18012]) ).

tcf(c_19769,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_157,X0) = select(queue_7,X0) ) ),
    inference(superposition,[status(thm)],[c_18475,c_15654]) ).

tcf(c_19794,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_94,X0) = select(queue_76,X0) ) ),
    inference(superposition,[status(thm)],[c_18581,c_18502]) ).

tcf(c_19831,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( select(earray_98,X0) = select(earray_64,X0) ) ),
    inference(superposition,[status(thm)],[c_19177,c_18220]) ).

tcf(c_19855,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_115,head) = index_96 ) ),
    inference(superposition,[status(thm)],[c_19464,c_19435]) ).

tcf(c_19856,plain,
    ( ( index_116 = index_96 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_19855,c_474]) ).

tcf(c_19857,plain,
    index_116 = index_96,
    inference(forward_subsumption_resolution,[status(thm)],[c_19856,c_354,c_353]) ).

tcf(c_19874,plain,
    s(index_95) = index_116,
    inference(demodulation,[status(thm)],[c_548,c_19857]) ).

tcf(c_20103,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_136,X0) = select(queue_118,X0) ) ),
    inference(superposition,[status(thm)],[c_19518,c_14859]) ).

tcf(c_20118,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_166,X0) = select(queue_139,X0) ) ),
    inference(superposition,[status(thm)],[c_19563,c_15600]) ).

tcf(c_20133,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_187,X0) = select(queue_160,X0) ) ),
    inference(superposition,[status(thm)],[c_19603,c_16237]) ).

tcf(c_20148,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_208,X0) = select(queue_190,X0) ) ),
    inference(superposition,[status(thm)],[c_19648,c_16754]) ).

tcf(c_20163,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_25,head) = index_210 ) ),
    inference(superposition,[status(thm)],[c_19663,c_19492]) ).

tcf(c_20164,plain,
    ( ( index_210 = index_26 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_20163,c_518]) ).

tcf(c_20165,plain,
    index_210 = index_26,
    inference(forward_subsumption_resolution,[status(thm)],[c_20164,c_354,c_353]) ).

tcf(c_20181,plain,
    s(index_210) = index_27,
    inference(demodulation,[status(thm)],[c_519,c_20165]) ).

tcf(c_20527,plain,
    index_120 != index_15,
    inference(light_normalisation,[status(thm)],[c_4317,c_2103,c_2124,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_14322,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_20540,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_46,X0) = select(queue_28,X0) ) ),
    inference(superposition,[status(thm)],[c_19698,c_17532]) ).

tcf(c_20555,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_67,X0) = select(queue_49,X0) ) ),
    inference(superposition,[status(thm)],[c_19734,c_17985]) ).

tcf(c_20570,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_157,X0) = select(queue_1,X0) ) ),
    inference(superposition,[status(thm)],[c_19769,c_18051]) ).

tcf(c_20585,plain,
    ! [X0: $i] :
      ( ( X0 = seq )
      | ( X0 = tail )
      | ( select(queue_94,X0) = select(queue_70,X0) ) ),
    inference(superposition,[status(thm)],[c_19794,c_18448]) ).

tcf(c_20602,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_136,head) = index_117 ) ),
    inference(superposition,[status(thm)],[c_20103,c_2145]) ).

tcf(c_20603,plain,
    ( ( index_117 = index_137 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_20602,c_483]) ).

tcf(c_20604,plain,
    index_117 = index_137,
    inference(forward_subsumption_resolution,[status(thm)],[c_20603,c_354,c_353]) ).

tcf(c_20624,plain,
    s(index_117) = index_138,
    inference(demodulation,[status(thm)],[c_484,c_20604]) ).

tcf(c_20727,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_166,head) = index_138 ) ),
    inference(superposition,[status(thm)],[c_20118,c_2318]) ).

tcf(c_20728,plain,
    ( ( index_138 = index_167 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_20727,c_496]) ).

tcf(c_20729,plain,
    index_138 = index_167,
    inference(forward_subsumption_resolution,[status(thm)],[c_20728,c_354,c_353]) ).

tcf(c_20747,plain,
    s(index_138) = index_213,
    inference(demodulation,[status(thm)],[c_2397,c_20729]) ).

tcf(c_20857,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_187,head) = index_159 ) ),
    inference(superposition,[status(thm)],[c_20133,c_2376]) ).

tcf(c_20858,plain,
    ( ( index_159 = index_188 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_20857,c_505]) ).

tcf(c_20859,plain,
    index_159 = index_188,
    inference(forward_subsumption_resolution,[status(thm)],[c_20858,c_354,c_353]) ).

tcf(c_20880,plain,
    s(index_159) = index_189,
    inference(demodulation,[status(thm)],[c_506,c_20859]) ).

tcf(c_20967,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_208,head) = index_189 ) ),
    inference(superposition,[status(thm)],[c_20148,c_2467]) ).

tcf(c_20968,plain,
    ( ( index_189 = index_209 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_20967,c_513]) ).

tcf(c_20969,plain,
    index_189 = index_209,
    inference(forward_subsumption_resolution,[status(thm)],[c_20968,c_354,c_353]) ).

tcf(c_20988,plain,
    s(index_189) = index_210,
    inference(demodulation,[status(thm)],[c_515,c_20969]) ).

tcf(c_21189,plain,
    index_126 != index_15,
    inference(light_normalisation,[status(thm)],[c_4445,c_2103,c_2124,c_2162,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_14322,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_21214,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_46,head) = index_27 ) ),
    inference(superposition,[status(thm)],[c_20540,c_2539]) ).

tcf(c_21215,plain,
    ( ( index_27 = index_47 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_21214,c_527]) ).

tcf(c_21216,plain,
    index_27 = index_47,
    inference(forward_subsumption_resolution,[status(thm)],[c_21215,c_354,c_353]) ).

tcf(c_21237,plain,
    s(index_27) = index_48,
    inference(demodulation,[status(thm)],[c_528,c_21216]) ).

tcf(c_21354,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_67,head) = index_48 ) ),
    inference(superposition,[status(thm)],[c_20555,c_2594]) ).

tcf(c_21355,plain,
    ( ( index_48 = index_68 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_21354,c_536]) ).

tcf(c_21356,plain,
    index_48 = index_68,
    inference(forward_subsumption_resolution,[status(thm)],[c_21355,c_354,c_353]) ).

tcf(c_21377,plain,
    s(index_48) = index_69,
    inference(demodulation,[status(thm)],[c_537,c_21356]) ).

tcf(c_21707,plain,
    index_132 != index_15,
    inference(light_normalisation,[status(thm)],[c_4588,c_2103,c_2124,c_2162,c_2199,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_14322,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_21723,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_157,head) = index_3 ) ),
    inference(superposition,[status(thm)],[c_20570,c_14163]) ).

tcf(c_21724,plain,
    ( ( index_3 = index_158 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_21723,c_492]) ).

tcf(c_21725,plain,
    index_3 = index_158,
    inference(forward_subsumption_resolution,[status(thm)],[c_21724,c_354,c_353]) ).

tcf(c_21740,plain,
    s(index_3) = index_159,
    inference(demodulation,[status(thm)],[c_493,c_21725]) ).

tcf(c_21741,plain,
    index_78 = index_159,
    inference(light_normalisation,[status(thm)],[c_21740,c_2763]) ).

tcf(c_21754,plain,
    s(index_78) = index_189,
    inference(demodulation,[status(thm)],[c_20880,c_21741]) ).

tcf(c_21759,plain,
    index_153 = index_189,
    inference(light_normalisation,[status(thm)],[c_21754,c_2807]) ).

tcf(c_21772,plain,
    s(index_153) = index_210,
    inference(demodulation,[status(thm)],[c_20988,c_21759]) ).

tcf(c_21778,plain,
    index_171 = index_210,
    inference(light_normalisation,[status(thm)],[c_21772,c_15700]) ).

tcf(c_21792,plain,
    s(index_171) = index_27,
    inference(demodulation,[status(thm)],[c_20181,c_21778]) ).

tcf(c_21798,plain,
    index_177 = index_27,
    inference(light_normalisation,[status(thm)],[c_21792,c_2418]) ).

tcf(c_21811,plain,
    s(index_177) = index_48,
    inference(demodulation,[status(thm)],[c_21237,c_21798]) ).

tcf(c_21816,plain,
    index_183 = index_48,
    inference(light_normalisation,[status(thm)],[c_21811,c_2438]) ).

tcf(c_21828,plain,
    s(index_183) = index_69,
    inference(demodulation,[status(thm)],[c_21377,c_21816]) ).

tcf(c_21833,plain,
    index_192 = index_69,
    inference(light_normalisation,[status(thm)],[c_21828,c_16437]) ).

tcf(c_21834,plain,
    select(queue_70,head) = index_192,
    inference(demodulation,[status(thm)],[c_2767,c_21833]) ).

tcf(c_21996,plain,
    ( ( head = seq )
    | ( head = tail )
    | ( select(queue_94,head) = index_192 ) ),
    inference(superposition,[status(thm)],[c_20585,c_21834]) ).

tcf(c_21997,plain,
    ( ( index_192 = index_95 )
    | ( head = seq )
    | ( head = tail ) ),
    inference(light_normalisation,[status(thm)],[c_21996,c_547]) ).

tcf(c_21998,plain,
    index_192 = index_95,
    inference(forward_subsumption_resolution,[status(thm)],[c_21997,c_354,c_353]) ).

tcf(c_22018,plain,
    s(index_192) = index_116,
    inference(demodulation,[status(thm)],[c_19874,c_21998]) ).

tcf(c_22021,plain,
    index_198 = index_116,
    inference(light_normalisation,[status(thm)],[c_22018,c_2483]) ).

tcf(c_22041,plain,
    s(index_198) = index_117,
    inference(demodulation,[status(thm)],[c_475,c_22021]) ).

tcf(c_22042,plain,
    index_204 = index_117,
    inference(light_normalisation,[status(thm)],[c_22041,c_2507]) ).

tcf(c_22057,plain,
    s(index_204) = index_138,
    inference(demodulation,[status(thm)],[c_20624,c_22042]) ).

tcf(c_22062,plain,
    index_9 = index_138,
    inference(light_normalisation,[status(thm)],[c_22057,c_16875]) ).

tcf(c_22077,plain,
    s(index_9) = index_213,
    inference(demodulation,[status(thm)],[c_20747,c_22062]) ).

tcf(c_22081,plain,
    index_15 = index_213,
    inference(light_normalisation,[status(thm)],[c_22077,c_2179]) ).

tcf(c_22084,plain,
    ( ( index_15 = index_162 )
    | ( index_147 = index_15 )
    | ( index_141 = index_15 )
    | ( index_132 = index_15 )
    | ( index_126 = index_15 )
    | ( index_120 = index_15 )
    | ( select(earray_112,index_15) = elem_214 ) ),
    inference(demodulation,[status(thm)],[c_19226,c_22081]) ).

tcf(c_22113,plain,
    ( ( index_15 = index_162 )
    | ( index_147 = index_15 )
    | ( index_141 = index_15 )
    | ( select(earray_112,index_15) = elem_214 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22084,c_21707,c_21189,c_20527]) ).

tcf(c_22159,plain,
    index_141 != index_15,
    inference(light_normalisation,[status(thm)],[c_5989,c_2103,c_2124,c_2162,c_2199,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_14322,c_14994,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_22260,plain,
    ( ( index_15 = index_162 )
    | ( index_147 = index_15 )
    | ( select(earray_112,index_15) = elem_214 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22113,c_22159]) ).

tcf(c_22270,plain,
    ( ( index_15 = index_162 )
    | ( index_147 = index_15 )
    | ( index_111 = index_15 )
    | ( select(earray_106,index_15) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_14216,c_22260]) ).

tcf(c_22272,plain,
    ( ( index_15 = index_162 )
    | ( index_147 = index_15 )
    | ( select(earray_106,index_15) = elem_214 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22270,c_19409]) ).

tcf(c_22307,plain,
    ( ( index_15 = index_162 )
    | ( index_147 = index_15 )
    | ( index_105 = index_15 )
    | ( select(earray_100,index_15) = elem_214 ) ),
    inference(superposition,[status(thm)],[c_14189,c_22272]) ).

tcf(c_22309,plain,
    ( ( index_15 = index_162 )
    | ( index_147 = index_15 )
    | ( select(earray_100,index_15) = elem_214 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22307,c_19375]) ).

tcf(c_22448,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( X0 = index_63 )
      | ( select(earray_98,X0) = select(earray_58,X0) ) ),
    inference(superposition,[status(thm)],[c_19831,c_18019]) ).

tcf(c_22725,plain,
    index_147 != index_15,
    inference(light_normalisation,[status(thm)],[c_6210,c_2103,c_2124,c_2162,c_2199,c_2338,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_14322,c_14994,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_22726,plain,
    ( ( index_15 = index_162 )
    | ( select(earray_100,index_15) = elem_214 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_22309,c_22725]) ).

tcf(c_22845,plain,
    index_15 != index_162,
    inference(light_normalisation,[status(thm)],[c_6354,c_2103,c_2124,c_2162,c_2199,c_2338,c_2358,c_2556,c_2571,c_2722,c_2742,c_2791,c_2831,c_14322,c_14994,c_17170,c_17772,c_18182,c_18650]) ).

tcf(c_22852,plain,
    select(earray_100,index_15) = elem_214,
    inference(backward_subsumption_resolution,[status(thm)],[c_22726,c_22845]) ).

tcf(c_23107,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( X0 = index_63 )
      | ( X0 = index_57 )
      | ( select(earray_98,X0) = select(earray_52,X0) ) ),
    inference(superposition,[status(thm)],[c_22448,c_17992]) ).

tcf(c_23372,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( X0 = index_63 )
      | ( X0 = index_57 )
      | ( X0 = index_51 )
      | ( select(earray_98,X0) = select(earray_43,X0) ) ),
    inference(superposition,[status(thm)],[c_23107,c_17807]) ).

tcf(c_23643,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( X0 = index_63 )
      | ( X0 = index_57 )
      | ( X0 = index_51 )
      | ( X0 = index_42 )
      | ( select(earray_98,X0) = select(earray_37,X0) ) ),
    inference(superposition,[status(thm)],[c_23372,c_17686]) ).

tcf(c_23912,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( X0 = index_63 )
      | ( X0 = index_57 )
      | ( X0 = index_51 )
      | ( X0 = index_42 )
      | ( X0 = index_36 )
      | ( select(earray_98,X0) = select(earray_31,X0) ) ),
    inference(superposition,[status(thm)],[c_23643,c_17539]) ).

tcf(c_24152,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( X0 = index_63 )
      | ( X0 = index_57 )
      | ( X0 = index_51 )
      | ( X0 = index_42 )
      | ( X0 = index_36 )
      | ( X0 = index_30 )
      | ( select(earray_98,X0) = select(earray_22,X0) ) ),
    inference(superposition,[status(thm)],[c_23912,c_17260]) ).

tcf(c_24399,plain,
    ! [X0: $i] :
      ( ( X0 = index_90 )
      | ( X0 = index_84 )
      | ( X0 = index_72 )
      | ( X0 = index_63 )
      | ( X0 = index_57 )
      | ( X0 = index_51 )
      | ( X0 = index_42 )
      | ( X0 = index_36 )
      | ( X0 = index_30 )
      | ( X0 = index_21 )
      | ( select(earray_98,X0) = select(earray_16,X0) ) ),
    inference(superposition,[status(thm)],[c_24152,c_16377]) ).

tcf(c_24657,plain,
    ( ( index_15 = index_90 )
    | ( index_15 = index_84 )
    | ( index_15 = index_72 )
    | ( index_15 = index_63 )
    | ( index_15 = index_57 )
    | ( index_15 = index_51 )
    | ( index_15 = index_42 )
    | ( index_15 = index_36 )
    | ( index_15 = index_30 )
    | ( index_15 = index_21 )
    | ( select(earray_98,index_15) = e10 ) ),
    inference(superposition,[status(thm)],[c_24399,c_1805]) ).

tcf(c_24659,plain,
    select(earray_98,index_15) = e10,
    inference(forward_subsumption_resolution,[status(thm)],[c_24657,c_19237,c_18935,c_18150,c_17797,c_17793,c_17746,c_17228,c_17224,c_17219,c_2462]) ).

tcf(c_24673,plain,
    ( ( index_99 = index_15 )
    | ( select(earray_100,index_15) = e10 ) ),
    inference(superposition,[status(thm)],[c_1945,c_24659]) ).

tcf(c_24675,plain,
    ( ( e10 = elem_214 )
    | ( index_99 = index_15 ) ),
    inference(light_normalisation,[status(thm)],[c_24673,c_22852]) ).

tcf(c_24676,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_24675,c_1225,c_19340]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV569-1.030 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n002.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 20:38:49 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.44  % Detected problem language: tptp
% 0.10/0.45  % Proving...
% 26.47/6.32  % SZS status Started for theBenchmark.p
% 26.47/6.32  % SZS status Unsatisfiable for theBenchmark.p
% 26.47/6.32  
% 26.47/6.32  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.47/6.32  
% 26.47/6.32  % ------  iProver source info
% 26.47/6.32  
% 26.47/6.32  % git: date: 2026-07-19 20:42:38 +0200
% 26.47/6.32  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.47/6.32  % git: non_committed_changes: false
% 26.47/6.32  
% 26.47/6.32  % ------ Parsing...% successful
% 26.47/6.32  
% 26.47/6.32  
% 26.47/6.32  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 26.47/6.32  
% 26.47/6.32  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 26.47/6.32  
% 26.47/6.32  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 26.47/6.32  
% 26.47/6.32  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 26.47/6.32  % ------ Proving...
% 26.47/6.32  % ------ Problem Properties 
% 26.47/6.32  
% 26.47/6.32  % 
% 26.47/6.32  % clauses                               271
% 26.47/6.32  % conjectures                           1
% 26.47/6.32  % EPR                                   4
% 26.47/6.32  % Horn                                  270
% 26.47/6.32  % unary                                 270
% 26.47/6.32  % binary                                1
% 26.47/6.32  % lits                                  272
% 26.47/6.32  % lits eq                               272
% 26.47/6.32  % fd_pure                               0
% 26.47/6.32  % fd_pseudo                             0
% 26.47/6.32  % fd_cond                               0
% 26.47/6.32  % fd_pseudo_cond                        1
% 26.47/6.32  % AC symbols                            0
% 26.47/6.32  
% 26.47/6.32  % ------ Schedule dynamic 5 is on 
% 26.47/6.32  
% 26.47/6.32  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.47/6.32  
% 26.47/6.32  
% 26.47/6.32  % ------ 
% 26.47/6.32  % Current options:
% 26.47/6.32  % ------ 
% 26.47/6.32  
% 26.47/6.32  
% 26.47/6.32  % 
% 26.47/6.32  
% 26.47/6.32  % ------ Proving...
% 26.47/6.32  % 
% 26.47/6.32  
% 26.47/6.32  % SZS status Unsatisfiable for theBenchmark.p
% 26.47/6.32  
% 26.47/6.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.47/6.34  
% 26.47/6.34  
%------------------------------------------------------------------------------