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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV571-1.046 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 : Thu Sep 24 02:59:34 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   55
%            Number of leaves      :  249
% Syntax   : Number of clauses     :  940 ( 776 unt; 164 nHn; 767 RR)
%            Number of literals    : 1173 (1172 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  295 ( 295 usr; 291 con; 0-3 aty)
%            Number of variables   :  183 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(hyp281,hypothesis,
    queue_91 = store(queue_89,tail,index_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp281) ).

cnf(hyp299,hypothesis,
    q22 = queue_91,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp299) ).

cnf(hyp283,hypothesis,
    queue_97 = store(queue_95,tail,index_96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp283) ).

cnf(hyp300,hypothesis,
    q23 = queue_97,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp300) ).

cnf(a1,axiom,
    select(store(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

cnf(hyp188,hypothesis,
    index_93 = select(q22,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp188) ).

cnf(hyp190,hypothesis,
    index_99 = select(q23,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp190) ).

cnf(hyp193,hypothesis,
    queue_103 = store(queue_101,tail,index_102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp193) ).

cnf(hyp301,hypothesis,
    q24 = queue_103,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp301) ).

cnf(ps,axiom,
    p(s(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ps) ).

cnf(circular,axiom,
    s(s(s(X1))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circular) ).

cnf(hyp187,hypothesis,
    index_90 = s(index_87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp187) ).

cnf(hyp189,hypothesis,
    index_96 = s(index_93),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp189) ).

cnf(hyp97,hypothesis,
    index_105 = select(q24,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp97) ).

cnf(hyp195,hypothesis,
    queue_109 = store(queue_107,tail,index_108),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp195) ).

cnf(hyp302,hypothesis,
    q25 = queue_109,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp302) ).

cnf(hyp96,hypothesis,
    index_102 = s(index_99),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp96) ).

cnf(hyp99,hypothesis,
    index_111 = select(q25,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp99) ).

cnf(hyp198,hypothesis,
    queue_115 = store(queue_113,tail,index_114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp198) ).

cnf(hyp303,hypothesis,
    q26 = queue_115,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp303) ).

cnf(hyp200,hypothesis,
    queue_121 = store(queue_119,tail,index_120),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp200) ).

cnf(hyp304,hypothesis,
    q27 = queue_121,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp304) ).

cnf(sp,axiom,
    s(p(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sp) ).

cnf(hyp98,hypothesis,
    index_108 = s(index_105),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp98) ).

cnf(hyp101,hypothesis,
    index_117 = select(q26,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp101) ).

cnf(hyp202,hypothesis,
    queue_127 = store(queue_125,tail,index_126),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp202) ).

cnf(hyp305,hypothesis,
    q28 = queue_127,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp305) ).

cnf(hyp104,hypothesis,
    index_123 = select(q27,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp104) ).

cnf(hyp100,hypothesis,
    index_114 = s(index_111),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp100) ).

cnf(hyp205,hypothesis,
    queue_133 = store(queue_131,tail,index_132),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp205) ).

cnf(hyp306,hypothesis,
    q29 = queue_133,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp306) ).

cnf(hyp106,hypothesis,
    index_129 = select(q28,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp106) ).

cnf(hyp103,hypothesis,
    index_120 = s(index_117),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp103) ).

cnf(hyp209,hypothesis,
    queue_145 = store(queue_143,tail,index_144),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp209) ).

cnf(hyp308,hypothesis,
    q30 = queue_145,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp308) ).

cnf(hyp110,hypothesis,
    index_141 = select(q29,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp110) ).

cnf(hyp105,hypothesis,
    index_126 = s(index_123),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp105) ).

cnf(hyp211,hypothesis,
    queue_151 = store(queue_149,tail,index_150),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp211) ).

cnf(hyp309,hypothesis,
    q31 = queue_151,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp309) ).

cnf(hyp112,hypothesis,
    index_147 = select(q30,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp112) ).

cnf(hyp107,hypothesis,
    index_132 = s(index_129),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp107) ).

cnf(hyp213,hypothesis,
    queue_157 = store(queue_155,tail,index_156),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp213) ).

cnf(hyp310,hypothesis,
    q32 = queue_157,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp310) ).

cnf(hyp115,hypothesis,
    index_153 = select(q31,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp115) ).

cnf(hyp111,hypothesis,
    index_144 = s(index_141),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp111) ).

cnf(hyp215,hypothesis,
    queue_163 = store(queue_161,tail,index_162),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp215) ).

cnf(hyp311,hypothesis,
    q33 = queue_163,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp311) ).

cnf(hyp117,hypothesis,
    index_159 = select(q32,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp117) ).

cnf(hyp114,hypothesis,
    index_150 = s(index_147),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp114) ).

cnf(hyp217,hypothesis,
    queue_169 = store(queue_167,tail,index_168),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp217) ).

cnf(hyp312,hypothesis,
    q34 = queue_169,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp312) ).

cnf(hyp119,hypothesis,
    index_165 = select(q33,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp119) ).

cnf(hyp116,hypothesis,
    index_156 = s(index_153),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp116) ).

cnf(hyp220,hypothesis,
    queue_175 = store(queue_173,tail,index_174),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp220) ).

cnf(hyp313,hypothesis,
    q35 = queue_175,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp313) ).

cnf(hyp121,hypothesis,
    index_171 = select(q34,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp121) ).

cnf(hyp118,hypothesis,
    index_162 = s(index_159),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp118) ).

cnf(hyp222,hypothesis,
    queue_181 = store(queue_179,tail,index_180),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp222) ).

cnf(hyp314,hypothesis,
    q36 = queue_181,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp314) ).

cnf(hyp123,hypothesis,
    index_177 = select(q35,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp123) ).

cnf(hyp120,hypothesis,
    index_168 = s(index_165),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp120) ).

cnf(hyp224,hypothesis,
    queue_187 = store(queue_185,tail,index_186),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp224) ).

cnf(hyp315,hypothesis,
    q37 = queue_187,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp315) ).

cnf(hyp126,hypothesis,
    index_183 = select(q36,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp126) ).

cnf(hyp122,hypothesis,
    index_174 = s(index_171),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp122) ).

cnf(hyp227,hypothesis,
    queue_193 = store(queue_191,tail,index_192),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp227) ).

cnf(hyp316,hypothesis,
    q38 = queue_193,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp316) ).

cnf(hyp128,hypothesis,
    index_189 = select(q37,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp128) ).

cnf(hyp125,hypothesis,
    index_180 = s(index_177),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp125) ).

cnf(hyp229,hypothesis,
    queue_199 = store(queue_197,tail,index_198),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp229) ).

cnf(hyp317,hypothesis,
    q39 = queue_199,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp317) ).

cnf(hyp130,hypothesis,
    index_195 = select(q38,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp130) ).

cnf(hyp127,hypothesis,
    index_186 = s(index_183),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp127) ).

cnf(hyp233,hypothesis,
    queue_211 = store(queue_209,tail,index_210),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp233) ).

cnf(hyp319,hypothesis,
    q40 = queue_211,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp319) ).

cnf(hyp134,hypothesis,
    index_207 = select(q39,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp134) ).

cnf(hyp129,hypothesis,
    index_192 = s(index_189),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp129) ).

cnf(hyp235,hypothesis,
    queue_217 = store(queue_215,tail,index_216),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp235) ).

cnf(hyp320,hypothesis,
    q41 = queue_217,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp320) ).

cnf(hyp137,hypothesis,
    index_213 = select(q40,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp137) ).

cnf(hyp131,hypothesis,
    index_198 = s(index_195),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp131) ).

cnf(hyp237,hypothesis,
    queue_223 = store(queue_221,tail,index_222),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp237) ).

cnf(hyp321,hypothesis,
    q42 = queue_223,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp321) ).

cnf(hyp139,hypothesis,
    index_219 = select(q41,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp139) ).

cnf(hyp136,hypothesis,
    index_210 = s(index_207),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp136) ).

cnf(hyp239,hypothesis,
    queue_229 = store(queue_227,tail,index_228),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp239) ).

cnf(hyp322,hypothesis,
    q43 = queue_229,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp322) ).

cnf(hyp141,hypothesis,
    index_225 = select(q42,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp141) ).

cnf(hyp138,hypothesis,
    index_216 = s(index_213),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp138) ).

cnf(hyp242,hypothesis,
    queue_235 = store(queue_233,tail,index_234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp242) ).

cnf(hyp323,hypothesis,
    q44 = queue_235,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp323) ).

cnf(hyp143,hypothesis,
    index_231 = select(q43,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp143) ).

cnf(hyp140,hypothesis,
    index_222 = s(index_219),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp140) ).

cnf(hyp244,hypothesis,
    queue_241 = store(queue_239,tail,index_240),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp244) ).

cnf(hyp324,hypothesis,
    q45 = queue_241,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp324) ).

cnf(hyp145,hypothesis,
    index_237 = select(q44,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp145) ).

cnf(hyp142,hypothesis,
    index_228 = s(index_225),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp142) ).

cnf(hyp148,hypothesis,
    index_243 = select(q45,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp148) ).

cnf(hyp144,hypothesis,
    index_234 = s(index_231),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp144) ).

cnf(hyp147,hypothesis,
    index_240 = s(index_237),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp147) ).

cnf(hyp277,hypothesis,
    queue_79 = store(queue_77,tail,index_78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp277) ).

cnf(hyp297,hypothesis,
    q20 = queue_79,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp297) ).

cnf(hyp279,hypothesis,
    queue_85 = store(queue_83,tail,index_84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp279) ).

cnf(hyp298,hypothesis,
    q21 = queue_85,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp298) ).

cnf(hyp246,hypothesis,
    queue_247 = store(queue_245,tail,index_246),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp246) ).

cnf(hyp325,hypothesis,
    q46 = queue_247,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp325) ).

cnf(hyp149,hypothesis,
    index_246 = s(index_243),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp149) ).

cnf(hyp183,hypothesis,
    index_81 = select(q20,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp183) ).

cnf(hyp185,hypothesis,
    index_87 = select(q21,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp185) ).

cnf(hyp270,hypothesis,
    queue_61 = store(queue_59,tail,index_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp270) ).

cnf(hyp294,hypothesis,
    q18 = queue_61,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp294) ).

cnf(hyp272,hypothesis,
    queue_67 = store(queue_65,tail,index_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp272) ).

cnf(hyp295,hypothesis,
    q19 = queue_67,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp295) ).

cnf(hyp182,hypothesis,
    index_78 = s(index_75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp182) ).

cnf(hyp184,hypothesis,
    index_84 = s(index_81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp184) ).

cnf(a2,axiom,
    ( select(store(X3,X1,X4),X2) = select(X3,X2)
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

cnf(hyp245,hypothesis,
    queue_245 = store(q45,seq,earray_244),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp245) ).

cnf(hyp177,hypothesis,
    index_63 = select(q18,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp177) ).

cnf(hyp181,hypothesis,
    index_75 = select(q19,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp181) ).

cnf(hyp243,hypothesis,
    queue_239 = store(q44,seq,earray_238),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp243) ).

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

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

cnf(hyp265,hypothesis,
    queue_49 = store(queue_47,tail,index_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp265) ).

cnf(hyp292,hypothesis,
    q16 = queue_49,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp292) ).

cnf(hyp268,hypothesis,
    queue_55 = store(queue_53,tail,index_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp268) ).

cnf(hyp293,hypothesis,
    q17 = queue_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp293) ).

cnf(hyp176,hypothesis,
    index_60 = s(index_57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp176) ).

cnf(hyp178,hypothesis,
    index_66 = s(index_63),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp178) ).

cnf(hyp241,hypothesis,
    queue_233 = store(q43,seq,earray_232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp241) ).

cnf(hyp161,hypothesis,
    index_279 = select(q46,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp161) ).

cnf(hyp273,hypothesis,
    queue_7 = store(queue_5,tail,index_6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp273) ).

cnf(hyp285,hypothesis,
    q1 = queue_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp285) ).

cnf(hyp275,hypothesis,
    queue_73 = store(queue_71,tail,index_72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp275) ).

cnf(hyp296,hypothesis,
    q2 = queue_73,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp296) ).

cnf(hyp172,hypothesis,
    index_51 = select(q16,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp172) ).

cnf(hyp174,hypothesis,
    index_57 = select(q17,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp174) ).

cnf(hyp238,hypothesis,
    queue_227 = store(q42,seq,earray_226),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp238) ).

cnf(hyp179,hypothesis,
    index_69 = select(q1,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp179) ).

cnf(hyp108,hypothesis,
    index_135 = select(q2,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp108) ).

cnf(hyp207,hypothesis,
    queue_139 = store(queue_137,tail,index_138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp207) ).

cnf(hyp307,hypothesis,
    q3 = queue_139,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp307) ).

cnf(hyp261,hypothesis,
    queue_37 = store(queue_35,tail,index_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp261) ).

cnf(hyp290,hypothesis,
    q14 = queue_37,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp290) ).

cnf(hyp263,hypothesis,
    queue_43 = store(queue_41,tail,index_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp263) ).

cnf(hyp291,hypothesis,
    q15 = queue_43,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp291) ).

cnf(hyp171,hypothesis,
    index_48 = s(index_45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp171) ).

cnf(hyp173,hypothesis,
    index_54 = s(index_51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp173) ).

cnf(hyp236,hypothesis,
    queue_221 = store(q41,seq,earray_220),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp236) ).

cnf(hyp175,hypothesis,
    index_6 = s(index_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp175) ).

cnf(hyp180,hypothesis,
    index_72 = s(index_69),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp180) ).

cnf(hyp132,hypothesis,
    index_201 = select(q3,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp132) ).

cnf(hyp231,hypothesis,
    queue_205 = store(queue_203,tail,index_204),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp231) ).

cnf(hyp318,hypothesis,
    q4 = queue_205,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp318) ).

cnf(hyp168,hypothesis,
    index_39 = select(q14,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp168) ).

cnf(hyp170,hypothesis,
    index_45 = select(q15,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp170) ).

cnf(hyp234,hypothesis,
    queue_215 = store(q40,seq,earray_214),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp234) ).

cnf(hyp109,hypothesis,
    index_138 = s(index_135),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp109) ).

cnf(hyp150,hypothesis,
    index_249 = select(q4,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp150) ).

cnf(hyp249,hypothesis,
    queue_253 = store(queue_251,tail,index_252),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp249) ).

cnf(hyp326,hypothesis,
    q5 = queue_253,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp326) ).

cnf(hyp247,hypothesis,
    queue_25 = store(queue_23,tail,index_24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp247) ).

cnf(hyp288,hypothesis,
    q12 = queue_25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp288) ).

cnf(hyp259,hypothesis,
    queue_31 = store(queue_29,tail,index_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp259) ).

cnf(hyp289,hypothesis,
    q13 = queue_31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp289) ).

cnf(hyp167,hypothesis,
    index_36 = s(index_33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp167) ).

cnf(hyp169,hypothesis,
    index_42 = s(index_39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp169) ).

cnf(hyp232,hypothesis,
    queue_209 = store(q39,seq,earray_208),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp232) ).

cnf(hyp251,hypothesis,
    queue_259 = store(queue_257,tail,index_258),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp251) ).

cnf(hyp327,hypothesis,
    q6 = queue_259,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp327) ).

cnf(hyp133,hypothesis,
    index_204 = s(index_201),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp133) ).

cnf(hyp152,hypothesis,
    index_255 = select(q5,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp152) ).

cnf(hyp157,hypothesis,
    index_27 = select(q12,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp157) ).

cnf(hyp166,hypothesis,
    index_33 = select(q13,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp166) ).

cnf(hyp228,hypothesis,
    queue_197 = store(q38,seq,earray_196),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp228) ).

cnf(hyp253,hypothesis,
    queue_265 = store(queue_263,tail,index_264),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp253) ).

cnf(hyp328,hypothesis,
    q7 = queue_265,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp328) ).

cnf(hyp154,hypothesis,
    index_261 = select(q6,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp154) ).

cnf(hyp151,hypothesis,
    index_252 = s(index_249),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp151) ).

cnf(hyp203,hypothesis,
    queue_13 = store(queue_11,tail,index_12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp203) ).

cnf(hyp286,hypothesis,
    q10 = queue_13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp286) ).

cnf(hyp225,hypothesis,
    queue_19 = store(queue_17,tail,index_18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp225) ).

cnf(hyp287,hypothesis,
    q11 = queue_19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp287) ).

cnf(hyp146,hypothesis,
    index_24 = s(index_21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp146) ).

cnf(hyp165,hypothesis,
    index_30 = s(index_27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp165) ).

cnf(hyp226,hypothesis,
    queue_191 = store(q37,seq,earray_190),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp226) ).

cnf(hyp255,hypothesis,
    queue_271 = store(queue_269,tail,index_270),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp255) ).

cnf(hyp329,hypothesis,
    q8 = queue_271,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp329) ).

cnf(hyp156,hypothesis,
    index_267 = select(q7,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp156) ).

cnf(hyp153,hypothesis,
    index_258 = s(index_255),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp153) ).

cnf(hyp113,hypothesis,
    index_15 = select(q10,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp113) ).

cnf(hyp135,hypothesis,
    index_21 = select(q11,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp135) ).

cnf(hyp282,hypothesis,
    queue_95 = store(q22,seq,earray_94),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp282) ).

cnf(hyp192,hypothesis,
    queue_101 = store(q23,seq,earray_100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp192) ).

cnf(hyp223,hypothesis,
    queue_185 = store(q36,seq,earray_184),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp223) ).

cnf(hyp257,hypothesis,
    queue_277 = store(queue_275,tail,index_276),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp257) ).

cnf(hyp330,hypothesis,
    q9 = queue_277,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp330) ).

cnf(hyp159,hypothesis,
    index_273 = select(q8,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp159) ).

cnf(hyp155,hypothesis,
    index_264 = s(index_261),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp155) ).

cnf(hyp102,hypothesis,
    index_12 = s(index_9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp102) ).

cnf(hyp124,hypothesis,
    index_18 = s(index_15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp124) ).

cnf(hyp280,hypothesis,
    queue_89 = store(q21,seq,earray_88),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp280) ).

cnf(hyp221,hypothesis,
    queue_179 = store(q35,seq,earray_178),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp221) ).

cnf(hyp186,hypothesis,
    index_9 = select(q9,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp186) ).

cnf(hyp158,hypothesis,
    index_270 = s(index_267),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp158) ).

cnf(hyp278,hypothesis,
    queue_83 = store(q20,seq,earray_82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp278) ).

cnf(hyp219,hypothesis,
    queue_173 = store(q34,seq,earray_172),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp219) ).

cnf(hyp160,hypothesis,
    index_276 = s(index_273),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp160) ).

cnf(hyp276,hypothesis,
    queue_77 = store(q19,seq,earray_76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp276) ).

cnf(hyp216,hypothesis,
    queue_167 = store(q33,seq,earray_166),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp216) ).

cnf(hyp271,hypothesis,
    queue_65 = store(q18,seq,earray_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp271) ).

cnf(hyp214,hypothesis,
    queue_161 = store(q32,seq,earray_160),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp214) ).

cnf(hyp269,hypothesis,
    queue_59 = store(q17,seq,earray_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp269) ).

cnf(hyp212,hypothesis,
    queue_155 = store(q31,seq,earray_154),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp212) ).

cnf(hyp256,hypothesis,
    queue_275 = store(q8,seq,earray_274),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp256) ).

cnf(hyp196,hypothesis,
    queue_11 = store(q9,seq,earray_10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp196) ).

cnf(hyp267,hypothesis,
    queue_53 = store(q16,seq,earray_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp267) ).

cnf(hyp210,hypothesis,
    queue_149 = store(q30,seq,earray_148),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp210) ).

cnf(hyp254,hypothesis,
    queue_269 = store(q7,seq,earray_268),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp254) ).

cnf(hyp264,hypothesis,
    queue_47 = store(q15,seq,earray_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp264) ).

cnf(hyp208,hypothesis,
    queue_143 = store(q29,seq,earray_142),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp208) ).

cnf(hyp252,hypothesis,
    queue_263 = store(q6,seq,earray_262),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp252) ).

cnf(hyp262,hypothesis,
    queue_41 = store(q14,seq,earray_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp262) ).

cnf(hyp204,hypothesis,
    queue_131 = store(q28,seq,earray_130),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp204) ).

cnf(hyp250,hypothesis,
    queue_257 = store(q5,seq,earray_256),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp250) ).

cnf(hyp260,hypothesis,
    queue_35 = store(q13,seq,earray_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp260) ).

cnf(hyp201,hypothesis,
    queue_125 = store(q27,seq,earray_124),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp201) ).

cnf(hyp274,hypothesis,
    queue_71 = store(q1,seq,earray_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp274) ).

cnf(hyp206,hypothesis,
    queue_137 = store(q2,seq,earray_136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp206) ).

cnf(hyp248,hypothesis,
    queue_251 = store(q4,seq,earray_250),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp248) ).

cnf(hyp258,hypothesis,
    queue_29 = store(q12,seq,earray_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp258) ).

cnf(hyp199,hypothesis,
    queue_119 = store(q26,seq,earray_118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp199) ).

cnf(hyp266,hypothesis,
    queue_5 = store(q0,seq,earray_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp266) ).

cnf(hyp230,hypothesis,
    queue_203 = store(q3,seq,earray_202),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp230) ).

cnf(hyp240,hypothesis,
    queue_23 = store(q11,seq,earray_22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp240) ).

cnf(hyp162,hypothesis,
    index_281 = select(q46,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp162) ).

cnf(hyp197,hypothesis,
    queue_113 = store(q25,seq,earray_112),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp197) ).

cnf(hyp218,hypothesis,
    queue_17 = store(q10,seq,earray_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp218) ).

cnf(hyp191,hypothesis,
    queue_1 = store(q,head,index_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp191) ).

cnf(hyp284,hypothesis,
    q0 = queue_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp284) ).

cnf(hyp163,hypothesis,
    s(index_282) = index_281,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp163) ).

cnf(hyp194,hypothesis,
    queue_107 = store(q24,seq,earray_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp194) ).

cnf(hyp164,hypothesis,
    index_3 = select(q0,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp164) ).

cnf(hyp54,hypothesis,
    earray_244 = store(earray_242,index_243,e45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp54) ).

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

cnf(hyp95,hypothesis,
    index_0 = select(q,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp95) ).

cnf(hyp66,hypothesis,
    earray_278 = select(q46,seq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp66) ).

cnf(hyp94,hypothesis,
    elem_283 = select(earray_278,index_282),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp94) ).

cnf(goal,negated_conjecture,
    elem_280 != elem_283,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(hyp93,hypothesis,
    elem_280 = select(earray_278,index_279),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp93) ).

cnf(c_0_249,hypothesis,
    queue_91 = store(queue_89,tail,index_90),
    hyp281 ).

cnf(c_0_250,hypothesis,
    q22 = queue_91,
    hyp299 ).

cnf(c_0_251,hypothesis,
    queue_97 = store(queue_95,tail,index_96),
    hyp283 ).

cnf(c_0_252,hypothesis,
    q23 = queue_97,
    hyp300 ).

cnf(c_0_253,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_254,hypothesis,
    store(queue_89,tail,index_90) = q22,
    inference(rw,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_255,hypothesis,
    index_93 = select(q22,tail),
    hyp188 ).

cnf(c_0_256,hypothesis,
    store(queue_95,tail,index_96) = q23,
    inference(rw,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_257,hypothesis,
    index_99 = select(q23,tail),
    hyp190 ).

cnf(c_0_258,hypothesis,
    queue_103 = store(queue_101,tail,index_102),
    hyp193 ).

cnf(c_0_259,hypothesis,
    q24 = queue_103,
    hyp301 ).

cnf(c_0_260,axiom,
    p(s(X1)) = X1,
    ps ).

cnf(c_0_261,axiom,
    s(s(s(X1))) = X1,
    circular ).

cnf(c_0_262,hypothesis,
    index_90 = s(index_87),
    hyp187 ).

cnf(c_0_263,hypothesis,
    index_90 = index_93,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]) ).

cnf(c_0_264,hypothesis,
    index_96 = s(index_93),
    hyp189 ).

cnf(c_0_265,hypothesis,
    index_96 = index_99,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_256]),c_0_257]) ).

cnf(c_0_266,hypothesis,
    store(queue_101,tail,index_102) = q24,
    inference(rw,[status(thm)],[c_0_258,c_0_259]) ).

cnf(c_0_267,hypothesis,
    index_105 = select(q24,tail),
    hyp97 ).

cnf(c_0_268,hypothesis,
    queue_109 = store(queue_107,tail,index_108),
    hyp195 ).

cnf(c_0_269,hypothesis,
    q25 = queue_109,
    hyp302 ).

cnf(c_0_270,plain,
    s(s(X1)) = p(X1),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_271,hypothesis,
    s(index_87) = index_93,
    inference(rw,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_272,hypothesis,
    s(index_93) = index_99,
    inference(rw,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_273,hypothesis,
    index_102 = s(index_99),
    hyp96 ).

cnf(c_0_274,hypothesis,
    index_102 = index_105,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_266]),c_0_267]) ).

cnf(c_0_275,hypothesis,
    store(queue_107,tail,index_108) = q25,
    inference(rw,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_276,hypothesis,
    index_111 = select(q25,tail),
    hyp99 ).

cnf(c_0_277,hypothesis,
    queue_115 = store(queue_113,tail,index_114),
    hyp198 ).

cnf(c_0_278,hypothesis,
    q26 = queue_115,
    hyp303 ).

cnf(c_0_279,hypothesis,
    queue_121 = store(queue_119,tail,index_120),
    hyp200 ).

cnf(c_0_280,hypothesis,
    q27 = queue_121,
    hyp304 ).

cnf(c_0_281,axiom,
    s(p(X1)) = X1,
    sp ).

cnf(c_0_282,hypothesis,
    p(index_87) = index_99,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).

cnf(c_0_283,hypothesis,
    s(index_99) = index_105,
    inference(rw,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_284,hypothesis,
    index_108 = s(index_105),
    hyp98 ).

cnf(c_0_285,hypothesis,
    index_108 = index_111,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_275]),c_0_276]) ).

cnf(c_0_286,hypothesis,
    store(queue_113,tail,index_114) = q26,
    inference(rw,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_287,hypothesis,
    index_117 = select(q26,tail),
    hyp101 ).

cnf(c_0_288,hypothesis,
    queue_127 = store(queue_125,tail,index_126),
    hyp202 ).

cnf(c_0_289,hypothesis,
    q28 = queue_127,
    hyp305 ).

cnf(c_0_290,hypothesis,
    store(queue_119,tail,index_120) = q27,
    inference(rw,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_291,hypothesis,
    index_123 = select(q27,tail),
    hyp104 ).

cnf(c_0_292,hypothesis,
    index_87 = index_105,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]) ).

cnf(c_0_293,hypothesis,
    s(index_105) = index_111,
    inference(rw,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_294,hypothesis,
    index_114 = s(index_111),
    hyp100 ).

cnf(c_0_295,hypothesis,
    index_114 = index_117,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_286]),c_0_287]) ).

cnf(c_0_296,hypothesis,
    queue_133 = store(queue_131,tail,index_132),
    hyp205 ).

cnf(c_0_297,hypothesis,
    q29 = queue_133,
    hyp306 ).

cnf(c_0_298,hypothesis,
    store(queue_125,tail,index_126) = q28,
    inference(rw,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_299,hypothesis,
    index_129 = select(q28,tail),
    hyp106 ).

cnf(c_0_300,hypothesis,
    index_120 = s(index_117),
    hyp103 ).

cnf(c_0_301,hypothesis,
    index_120 = index_123,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_290]),c_0_291]) ).

cnf(c_0_302,hypothesis,
    index_93 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_292]),c_0_293]) ).

cnf(c_0_303,hypothesis,
    s(index_111) = index_117,
    inference(rw,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_304,hypothesis,
    queue_145 = store(queue_143,tail,index_144),
    hyp209 ).

cnf(c_0_305,hypothesis,
    q30 = queue_145,
    hyp308 ).

cnf(c_0_306,hypothesis,
    store(queue_131,tail,index_132) = q29,
    inference(rw,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_307,hypothesis,
    index_141 = select(q29,tail),
    hyp110 ).

cnf(c_0_308,hypothesis,
    index_126 = s(index_123),
    hyp105 ).

cnf(c_0_309,hypothesis,
    index_126 = index_129,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_298]),c_0_299]) ).

cnf(c_0_310,hypothesis,
    s(index_117) = index_123,
    inference(rw,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_311,hypothesis,
    index_117 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_302]),c_0_303]) ).

cnf(c_0_312,hypothesis,
    queue_151 = store(queue_149,tail,index_150),
    hyp211 ).

cnf(c_0_313,hypothesis,
    q31 = queue_151,
    hyp309 ).

cnf(c_0_314,hypothesis,
    store(queue_143,tail,index_144) = q30,
    inference(rw,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_315,hypothesis,
    index_147 = select(q30,tail),
    hyp112 ).

cnf(c_0_316,hypothesis,
    index_132 = s(index_129),
    hyp107 ).

cnf(c_0_317,hypothesis,
    index_132 = index_141,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_306]),c_0_307]) ).

cnf(c_0_318,hypothesis,
    s(index_123) = index_129,
    inference(rw,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_319,hypothesis,
    index_123 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_311]),c_0_283]) ).

cnf(c_0_320,hypothesis,
    queue_157 = store(queue_155,tail,index_156),
    hyp213 ).

cnf(c_0_321,hypothesis,
    q32 = queue_157,
    hyp310 ).

cnf(c_0_322,hypothesis,
    store(queue_149,tail,index_150) = q31,
    inference(rw,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_323,hypothesis,
    index_153 = select(q31,tail),
    hyp115 ).

cnf(c_0_324,hypothesis,
    index_144 = s(index_141),
    hyp111 ).

cnf(c_0_325,hypothesis,
    index_144 = index_147,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_314]),c_0_315]) ).

cnf(c_0_326,hypothesis,
    s(index_129) = index_141,
    inference(rw,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_327,hypothesis,
    index_129 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_319]),c_0_293]) ).

cnf(c_0_328,hypothesis,
    queue_163 = store(queue_161,tail,index_162),
    hyp215 ).

cnf(c_0_329,hypothesis,
    q33 = queue_163,
    hyp311 ).

cnf(c_0_330,hypothesis,
    store(queue_155,tail,index_156) = q32,
    inference(rw,[status(thm)],[c_0_320,c_0_321]) ).

cnf(c_0_331,hypothesis,
    index_159 = select(q32,tail),
    hyp117 ).

cnf(c_0_332,hypothesis,
    index_150 = s(index_147),
    hyp114 ).

cnf(c_0_333,hypothesis,
    index_150 = index_153,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_322]),c_0_323]) ).

cnf(c_0_334,hypothesis,
    s(index_141) = index_147,
    inference(rw,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_335,hypothesis,
    index_141 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_327]),c_0_303]),c_0_311]) ).

cnf(c_0_336,hypothesis,
    queue_169 = store(queue_167,tail,index_168),
    hyp217 ).

cnf(c_0_337,hypothesis,
    q34 = queue_169,
    hyp312 ).

cnf(c_0_338,hypothesis,
    store(queue_161,tail,index_162) = q33,
    inference(rw,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_339,hypothesis,
    index_165 = select(q33,tail),
    hyp119 ).

cnf(c_0_340,hypothesis,
    index_156 = s(index_153),
    hyp116 ).

cnf(c_0_341,hypothesis,
    index_156 = index_159,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_330]),c_0_331]) ).

cnf(c_0_342,hypothesis,
    s(index_147) = index_153,
    inference(rw,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_343,hypothesis,
    index_147 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_335]),c_0_283]) ).

cnf(c_0_344,hypothesis,
    queue_175 = store(queue_173,tail,index_174),
    hyp220 ).

cnf(c_0_345,hypothesis,
    q35 = queue_175,
    hyp313 ).

cnf(c_0_346,hypothesis,
    store(queue_167,tail,index_168) = q34,
    inference(rw,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_347,hypothesis,
    index_171 = select(q34,tail),
    hyp121 ).

cnf(c_0_348,hypothesis,
    index_162 = s(index_159),
    hyp118 ).

cnf(c_0_349,hypothesis,
    index_162 = index_165,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_338]),c_0_339]) ).

cnf(c_0_350,hypothesis,
    s(index_153) = index_159,
    inference(rw,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_351,hypothesis,
    index_153 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_343]),c_0_293]) ).

cnf(c_0_352,hypothesis,
    queue_181 = store(queue_179,tail,index_180),
    hyp222 ).

cnf(c_0_353,hypothesis,
    q36 = queue_181,
    hyp314 ).

cnf(c_0_354,hypothesis,
    store(queue_173,tail,index_174) = q35,
    inference(rw,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_355,hypothesis,
    index_177 = select(q35,tail),
    hyp123 ).

cnf(c_0_356,hypothesis,
    index_168 = s(index_165),
    hyp120 ).

cnf(c_0_357,hypothesis,
    index_168 = index_171,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_346]),c_0_347]) ).

cnf(c_0_358,hypothesis,
    s(index_159) = index_165,
    inference(rw,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_359,hypothesis,
    index_159 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_351]),c_0_303]),c_0_311]) ).

cnf(c_0_360,hypothesis,
    queue_187 = store(queue_185,tail,index_186),
    hyp224 ).

cnf(c_0_361,hypothesis,
    q37 = queue_187,
    hyp315 ).

cnf(c_0_362,hypothesis,
    store(queue_179,tail,index_180) = q36,
    inference(rw,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_363,hypothesis,
    index_183 = select(q36,tail),
    hyp126 ).

cnf(c_0_364,hypothesis,
    index_174 = s(index_171),
    hyp122 ).

cnf(c_0_365,hypothesis,
    index_174 = index_177,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_354]),c_0_355]) ).

cnf(c_0_366,hypothesis,
    s(index_165) = index_171,
    inference(rw,[status(thm)],[c_0_356,c_0_357]) ).

cnf(c_0_367,hypothesis,
    index_165 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_359]),c_0_283]) ).

cnf(c_0_368,hypothesis,
    queue_193 = store(queue_191,tail,index_192),
    hyp227 ).

cnf(c_0_369,hypothesis,
    q38 = queue_193,
    hyp316 ).

cnf(c_0_370,hypothesis,
    store(queue_185,tail,index_186) = q37,
    inference(rw,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_371,hypothesis,
    index_189 = select(q37,tail),
    hyp128 ).

cnf(c_0_372,hypothesis,
    index_180 = s(index_177),
    hyp125 ).

cnf(c_0_373,hypothesis,
    index_180 = index_183,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_362]),c_0_363]) ).

cnf(c_0_374,hypothesis,
    s(index_171) = index_177,
    inference(rw,[status(thm)],[c_0_364,c_0_365]) ).

cnf(c_0_375,hypothesis,
    index_171 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_366,c_0_367]),c_0_293]) ).

cnf(c_0_376,hypothesis,
    queue_199 = store(queue_197,tail,index_198),
    hyp229 ).

cnf(c_0_377,hypothesis,
    q39 = queue_199,
    hyp317 ).

cnf(c_0_378,hypothesis,
    store(queue_191,tail,index_192) = q38,
    inference(rw,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_379,hypothesis,
    index_195 = select(q38,tail),
    hyp130 ).

cnf(c_0_380,hypothesis,
    index_186 = s(index_183),
    hyp127 ).

cnf(c_0_381,hypothesis,
    index_186 = index_189,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_370]),c_0_371]) ).

cnf(c_0_382,hypothesis,
    s(index_177) = index_183,
    inference(rw,[status(thm)],[c_0_372,c_0_373]) ).

cnf(c_0_383,hypothesis,
    index_177 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_375]),c_0_303]),c_0_311]) ).

cnf(c_0_384,hypothesis,
    queue_211 = store(queue_209,tail,index_210),
    hyp233 ).

cnf(c_0_385,hypothesis,
    q40 = queue_211,
    hyp319 ).

cnf(c_0_386,hypothesis,
    store(queue_197,tail,index_198) = q39,
    inference(rw,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_387,hypothesis,
    index_207 = select(q39,tail),
    hyp134 ).

cnf(c_0_388,hypothesis,
    index_192 = s(index_189),
    hyp129 ).

cnf(c_0_389,hypothesis,
    index_192 = index_195,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_378]),c_0_379]) ).

cnf(c_0_390,hypothesis,
    s(index_183) = index_189,
    inference(rw,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_391,hypothesis,
    index_183 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_383]),c_0_283]) ).

cnf(c_0_392,hypothesis,
    queue_217 = store(queue_215,tail,index_216),
    hyp235 ).

cnf(c_0_393,hypothesis,
    q41 = queue_217,
    hyp320 ).

cnf(c_0_394,hypothesis,
    store(queue_209,tail,index_210) = q40,
    inference(rw,[status(thm)],[c_0_384,c_0_385]) ).

cnf(c_0_395,hypothesis,
    index_213 = select(q40,tail),
    hyp137 ).

cnf(c_0_396,hypothesis,
    index_198 = s(index_195),
    hyp131 ).

cnf(c_0_397,hypothesis,
    index_198 = index_207,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_386]),c_0_387]) ).

cnf(c_0_398,hypothesis,
    s(index_189) = index_195,
    inference(rw,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_399,hypothesis,
    index_189 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_391]),c_0_293]) ).

cnf(c_0_400,hypothesis,
    queue_223 = store(queue_221,tail,index_222),
    hyp237 ).

cnf(c_0_401,hypothesis,
    q42 = queue_223,
    hyp321 ).

cnf(c_0_402,hypothesis,
    store(queue_215,tail,index_216) = q41,
    inference(rw,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_403,hypothesis,
    index_219 = select(q41,tail),
    hyp139 ).

cnf(c_0_404,hypothesis,
    index_210 = s(index_207),
    hyp136 ).

cnf(c_0_405,hypothesis,
    index_210 = index_213,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_394]),c_0_395]) ).

cnf(c_0_406,hypothesis,
    s(index_195) = index_207,
    inference(rw,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_407,hypothesis,
    index_195 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_399]),c_0_303]),c_0_311]) ).

cnf(c_0_408,hypothesis,
    queue_229 = store(queue_227,tail,index_228),
    hyp239 ).

cnf(c_0_409,hypothesis,
    q43 = queue_229,
    hyp322 ).

cnf(c_0_410,hypothesis,
    store(queue_221,tail,index_222) = q42,
    inference(rw,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_411,hypothesis,
    index_225 = select(q42,tail),
    hyp141 ).

cnf(c_0_412,hypothesis,
    index_216 = s(index_213),
    hyp138 ).

cnf(c_0_413,hypothesis,
    index_216 = index_219,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_402]),c_0_403]) ).

cnf(c_0_414,hypothesis,
    s(index_207) = index_213,
    inference(rw,[status(thm)],[c_0_404,c_0_405]) ).

cnf(c_0_415,hypothesis,
    index_207 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_407]),c_0_283]) ).

cnf(c_0_416,hypothesis,
    queue_235 = store(queue_233,tail,index_234),
    hyp242 ).

cnf(c_0_417,hypothesis,
    q44 = queue_235,
    hyp323 ).

cnf(c_0_418,hypothesis,
    store(queue_227,tail,index_228) = q43,
    inference(rw,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_419,hypothesis,
    index_231 = select(q43,tail),
    hyp143 ).

cnf(c_0_420,hypothesis,
    index_222 = s(index_219),
    hyp140 ).

cnf(c_0_421,hypothesis,
    index_222 = index_225,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_410]),c_0_411]) ).

cnf(c_0_422,hypothesis,
    s(index_213) = index_219,
    inference(rw,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_423,hypothesis,
    index_213 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_415]),c_0_293]) ).

cnf(c_0_424,hypothesis,
    queue_241 = store(queue_239,tail,index_240),
    hyp244 ).

cnf(c_0_425,hypothesis,
    q45 = queue_241,
    hyp324 ).

cnf(c_0_426,hypothesis,
    store(queue_233,tail,index_234) = q44,
    inference(rw,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_427,hypothesis,
    index_237 = select(q44,tail),
    hyp145 ).

cnf(c_0_428,hypothesis,
    index_228 = s(index_225),
    hyp142 ).

cnf(c_0_429,hypothesis,
    index_228 = index_231,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_418]),c_0_419]) ).

cnf(c_0_430,hypothesis,
    s(index_219) = index_225,
    inference(rw,[status(thm)],[c_0_420,c_0_421]) ).

cnf(c_0_431,hypothesis,
    index_219 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_423]),c_0_303]),c_0_311]) ).

cnf(c_0_432,hypothesis,
    store(queue_239,tail,index_240) = q45,
    inference(rw,[status(thm)],[c_0_424,c_0_425]) ).

cnf(c_0_433,hypothesis,
    index_243 = select(q45,tail),
    hyp148 ).

cnf(c_0_434,hypothesis,
    index_234 = s(index_231),
    hyp144 ).

cnf(c_0_435,hypothesis,
    index_234 = index_237,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_426]),c_0_427]) ).

cnf(c_0_436,hypothesis,
    s(index_225) = index_231,
    inference(rw,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_437,hypothesis,
    index_225 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_431]),c_0_283]) ).

cnf(c_0_438,hypothesis,
    index_240 = s(index_237),
    hyp147 ).

cnf(c_0_439,hypothesis,
    index_240 = index_243,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_432]),c_0_433]) ).

cnf(c_0_440,hypothesis,
    s(index_231) = index_237,
    inference(rw,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_441,hypothesis,
    index_231 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_437]),c_0_293]) ).

cnf(c_0_442,hypothesis,
    s(index_237) = index_243,
    inference(rw,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_443,hypothesis,
    index_237 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_440,c_0_441]),c_0_303]),c_0_311]) ).

cnf(c_0_444,hypothesis,
    queue_79 = store(queue_77,tail,index_78),
    hyp277 ).

cnf(c_0_445,hypothesis,
    q20 = queue_79,
    hyp297 ).

cnf(c_0_446,hypothesis,
    queue_85 = store(queue_83,tail,index_84),
    hyp279 ).

cnf(c_0_447,hypothesis,
    q21 = queue_85,
    hyp298 ).

cnf(c_0_448,hypothesis,
    queue_247 = store(queue_245,tail,index_246),
    hyp246 ).

cnf(c_0_449,hypothesis,
    q46 = queue_247,
    hyp325 ).

cnf(c_0_450,hypothesis,
    index_246 = s(index_243),
    hyp149 ).

cnf(c_0_451,hypothesis,
    index_243 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_443]),c_0_283]) ).

cnf(c_0_452,hypothesis,
    store(queue_77,tail,index_78) = q20,
    inference(rw,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_453,hypothesis,
    index_81 = select(q20,tail),
    hyp183 ).

cnf(c_0_454,hypothesis,
    store(queue_83,tail,index_84) = q21,
    inference(rw,[status(thm)],[c_0_446,c_0_447]) ).

cnf(c_0_455,hypothesis,
    index_87 = select(q21,tail),
    hyp185 ).

cnf(c_0_456,hypothesis,
    store(queue_245,tail,index_246) = q46,
    inference(rw,[status(thm)],[c_0_448,c_0_449]) ).

cnf(c_0_457,hypothesis,
    index_246 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_451]),c_0_293]) ).

cnf(c_0_458,hypothesis,
    queue_61 = store(queue_59,tail,index_60),
    hyp270 ).

cnf(c_0_459,hypothesis,
    q18 = queue_61,
    hyp294 ).

cnf(c_0_460,hypothesis,
    queue_67 = store(queue_65,tail,index_66),
    hyp272 ).

cnf(c_0_461,hypothesis,
    q19 = queue_67,
    hyp295 ).

cnf(c_0_462,hypothesis,
    index_78 = s(index_75),
    hyp182 ).

cnf(c_0_463,hypothesis,
    index_78 = index_81,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_452]),c_0_453]) ).

cnf(c_0_464,hypothesis,
    index_84 = s(index_81),
    hyp184 ).

cnf(c_0_465,hypothesis,
    index_84 = index_87,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_454]),c_0_455]) ).

cnf(c_0_466,axiom,
    ( select(store(X3,X1,X4),X2) = select(X3,X2)
    | X1 = X2 ),
    a2 ).

cnf(c_0_467,hypothesis,
    queue_245 = store(q45,seq,earray_244),
    hyp245 ).

cnf(c_0_468,hypothesis,
    store(queue_245,tail,index_111) = q46,
    inference(rw,[status(thm)],[c_0_456,c_0_457]) ).

cnf(c_0_469,hypothesis,
    store(queue_59,tail,index_60) = q18,
    inference(rw,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_470,hypothesis,
    index_63 = select(q18,tail),
    hyp177 ).

cnf(c_0_471,hypothesis,
    store(queue_65,tail,index_66) = q19,
    inference(rw,[status(thm)],[c_0_460,c_0_461]) ).

cnf(c_0_472,hypothesis,
    index_75 = select(q19,tail),
    hyp181 ).

cnf(c_0_473,hypothesis,
    s(index_75) = index_81,
    inference(rw,[status(thm)],[c_0_462,c_0_463]) ).

cnf(c_0_474,hypothesis,
    s(index_81) = index_87,
    inference(rw,[status(thm)],[c_0_464,c_0_465]) ).

cnf(c_0_475,hypothesis,
    queue_239 = store(q44,seq,earray_238),
    hyp243 ).

cnf(c_0_476,hypothesis,
    store(queue_239,tail,index_105) = q45,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_439]),c_0_451]) ).

cnf(c_0_477,hypothesis,
    ( seq = X1
    | select(queue_245,X1) = select(q45,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_467]) ).

cnf(c_0_478,hypothesis,
    ( tail = X1
    | select(queue_245,X1) = select(q46,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_468]) ).

cnf(c_0_479,plain,
    head != tail,
    inference(fof_simplification,[status(thm)],[head_distinct_from_tail]) ).

cnf(c_0_480,plain,
    head != seq,
    inference(fof_simplification,[status(thm)],[head_distinct_from_seq]) ).

cnf(c_0_481,hypothesis,
    queue_49 = store(queue_47,tail,index_48),
    hyp265 ).

cnf(c_0_482,hypothesis,
    q16 = queue_49,
    hyp292 ).

cnf(c_0_483,hypothesis,
    queue_55 = store(queue_53,tail,index_54),
    hyp268 ).

cnf(c_0_484,hypothesis,
    q17 = queue_55,
    hyp293 ).

cnf(c_0_485,hypothesis,
    index_60 = s(index_57),
    hyp176 ).

cnf(c_0_486,hypothesis,
    index_60 = index_63,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_469]),c_0_470]) ).

cnf(c_0_487,hypothesis,
    index_66 = s(index_63),
    hyp178 ).

cnf(c_0_488,hypothesis,
    index_66 = index_75,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_471]),c_0_472]) ).

cnf(c_0_489,hypothesis,
    p(index_75) = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_473]),c_0_474]),c_0_292]) ).

cnf(c_0_490,hypothesis,
    queue_233 = store(q43,seq,earray_232),
    hyp241 ).

cnf(c_0_491,hypothesis,
    store(queue_233,tail,index_99) = q44,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_435]),c_0_443]) ).

cnf(c_0_492,hypothesis,
    ( seq = X1
    | select(queue_239,X1) = select(q44,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_475]) ).

cnf(c_0_493,hypothesis,
    ( tail = X1
    | select(queue_239,X1) = select(q45,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_476]) ).

cnf(c_0_494,hypothesis,
    index_279 = select(q46,head),
    hyp161 ).

cnf(c_0_495,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q46,X1) = select(q45,X1) ),
    inference(spm,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_496,plain,
    head != tail,
    c_0_479 ).

cnf(c_0_497,plain,
    head != seq,
    c_0_480 ).

cnf(c_0_498,hypothesis,
    queue_7 = store(queue_5,tail,index_6),
    hyp273 ).

cnf(c_0_499,hypothesis,
    q1 = queue_7,
    hyp285 ).

cnf(c_0_500,hypothesis,
    queue_73 = store(queue_71,tail,index_72),
    hyp275 ).

cnf(c_0_501,hypothesis,
    q2 = queue_73,
    hyp296 ).

cnf(c_0_502,hypothesis,
    store(queue_47,tail,index_48) = q16,
    inference(rw,[status(thm)],[c_0_481,c_0_482]) ).

cnf(c_0_503,hypothesis,
    index_51 = select(q16,tail),
    hyp172 ).

cnf(c_0_504,hypothesis,
    store(queue_53,tail,index_54) = q17,
    inference(rw,[status(thm)],[c_0_483,c_0_484]) ).

cnf(c_0_505,hypothesis,
    index_57 = select(q17,tail),
    hyp174 ).

cnf(c_0_506,hypothesis,
    s(index_57) = index_63,
    inference(rw,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_507,hypothesis,
    s(index_63) = index_75,
    inference(rw,[status(thm)],[c_0_487,c_0_488]) ).

cnf(c_0_508,hypothesis,
    index_75 = index_111,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_489]),c_0_293]) ).

cnf(c_0_509,hypothesis,
    queue_227 = store(q42,seq,earray_226),
    hyp238 ).

cnf(c_0_510,hypothesis,
    store(queue_227,tail,index_111) = q43,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_429]),c_0_441]) ).

cnf(c_0_511,hypothesis,
    ( seq = X1
    | select(queue_233,X1) = select(q43,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_490]) ).

cnf(c_0_512,hypothesis,
    ( tail = X1
    | select(queue_233,X1) = select(q44,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_491]) ).

cnf(c_0_513,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q45,X1) = select(q44,X1) ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_514,hypothesis,
    select(q45,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_496]),c_0_497]) ).

cnf(c_0_515,hypothesis,
    store(queue_5,tail,index_6) = q1,
    inference(rw,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_516,hypothesis,
    index_69 = select(q1,tail),
    hyp179 ).

cnf(c_0_517,hypothesis,
    store(queue_71,tail,index_72) = q2,
    inference(rw,[status(thm)],[c_0_500,c_0_501]) ).

cnf(c_0_518,hypothesis,
    index_135 = select(q2,tail),
    hyp108 ).

cnf(c_0_519,hypothesis,
    queue_139 = store(queue_137,tail,index_138),
    hyp207 ).

cnf(c_0_520,hypothesis,
    q3 = queue_139,
    hyp307 ).

cnf(c_0_521,hypothesis,
    queue_37 = store(queue_35,tail,index_36),
    hyp261 ).

cnf(c_0_522,hypothesis,
    q14 = queue_37,
    hyp290 ).

cnf(c_0_523,hypothesis,
    queue_43 = store(queue_41,tail,index_42),
    hyp263 ).

cnf(c_0_524,hypothesis,
    q15 = queue_43,
    hyp291 ).

cnf(c_0_525,hypothesis,
    index_48 = s(index_45),
    hyp171 ).

cnf(c_0_526,hypothesis,
    index_48 = index_51,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_502]),c_0_503]) ).

cnf(c_0_527,hypothesis,
    index_54 = s(index_51),
    hyp173 ).

cnf(c_0_528,hypothesis,
    index_54 = index_57,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_504]),c_0_505]) ).

cnf(c_0_529,hypothesis,
    p(index_57) = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_506]),c_0_507]),c_0_508]) ).

cnf(c_0_530,hypothesis,
    queue_221 = store(q41,seq,earray_220),
    hyp236 ).

cnf(c_0_531,hypothesis,
    store(queue_221,tail,index_105) = q42,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_421]),c_0_437]) ).

cnf(c_0_532,hypothesis,
    ( seq = X1
    | select(queue_227,X1) = select(q42,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_509]) ).

cnf(c_0_533,hypothesis,
    ( tail = X1
    | select(queue_227,X1) = select(q43,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_510]) ).

cnf(c_0_534,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q44,X1) = select(q43,X1) ),
    inference(spm,[status(thm)],[c_0_511,c_0_512]) ).

cnf(c_0_535,hypothesis,
    select(q44,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_496]),c_0_497]) ).

cnf(c_0_536,hypothesis,
    index_6 = s(index_3),
    hyp175 ).

cnf(c_0_537,hypothesis,
    index_6 = index_69,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_515]),c_0_516]) ).

cnf(c_0_538,hypothesis,
    index_72 = s(index_69),
    hyp180 ).

cnf(c_0_539,hypothesis,
    index_72 = index_135,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_517]),c_0_518]) ).

cnf(c_0_540,hypothesis,
    store(queue_137,tail,index_138) = q3,
    inference(rw,[status(thm)],[c_0_519,c_0_520]) ).

cnf(c_0_541,hypothesis,
    index_201 = select(q3,tail),
    hyp132 ).

cnf(c_0_542,hypothesis,
    queue_205 = store(queue_203,tail,index_204),
    hyp231 ).

cnf(c_0_543,hypothesis,
    q4 = queue_205,
    hyp318 ).

cnf(c_0_544,hypothesis,
    store(queue_35,tail,index_36) = q14,
    inference(rw,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_545,hypothesis,
    index_39 = select(q14,tail),
    hyp168 ).

cnf(c_0_546,hypothesis,
    store(queue_41,tail,index_42) = q15,
    inference(rw,[status(thm)],[c_0_523,c_0_524]) ).

cnf(c_0_547,hypothesis,
    index_45 = select(q15,tail),
    hyp170 ).

cnf(c_0_548,hypothesis,
    s(index_45) = index_51,
    inference(rw,[status(thm)],[c_0_525,c_0_526]) ).

cnf(c_0_549,hypothesis,
    s(index_51) = index_57,
    inference(rw,[status(thm)],[c_0_527,c_0_528]) ).

cnf(c_0_550,hypothesis,
    index_57 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_529]),c_0_303]),c_0_311]) ).

cnf(c_0_551,hypothesis,
    queue_215 = store(q40,seq,earray_214),
    hyp234 ).

cnf(c_0_552,hypothesis,
    store(queue_215,tail,index_99) = q41,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_402,c_0_413]),c_0_431]) ).

cnf(c_0_553,hypothesis,
    ( seq = X1
    | select(queue_221,X1) = select(q41,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_530]) ).

cnf(c_0_554,hypothesis,
    ( tail = X1
    | select(queue_221,X1) = select(q42,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_531]) ).

cnf(c_0_555,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q43,X1) = select(q42,X1) ),
    inference(spm,[status(thm)],[c_0_532,c_0_533]) ).

cnf(c_0_556,hypothesis,
    select(q43,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_496]),c_0_497]) ).

cnf(c_0_557,hypothesis,
    s(index_3) = index_69,
    inference(rw,[status(thm)],[c_0_536,c_0_537]) ).

cnf(c_0_558,hypothesis,
    s(index_69) = index_135,
    inference(rw,[status(thm)],[c_0_538,c_0_539]) ).

cnf(c_0_559,hypothesis,
    index_138 = s(index_135),
    hyp109 ).

cnf(c_0_560,hypothesis,
    index_138 = index_201,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_540]),c_0_541]) ).

cnf(c_0_561,hypothesis,
    store(queue_203,tail,index_204) = q4,
    inference(rw,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_562,hypothesis,
    index_249 = select(q4,tail),
    hyp150 ).

cnf(c_0_563,hypothesis,
    queue_253 = store(queue_251,tail,index_252),
    hyp249 ).

cnf(c_0_564,hypothesis,
    q5 = queue_253,
    hyp326 ).

cnf(c_0_565,hypothesis,
    queue_25 = store(queue_23,tail,index_24),
    hyp247 ).

cnf(c_0_566,hypothesis,
    q12 = queue_25,
    hyp288 ).

cnf(c_0_567,hypothesis,
    queue_31 = store(queue_29,tail,index_30),
    hyp259 ).

cnf(c_0_568,hypothesis,
    q13 = queue_31,
    hyp289 ).

cnf(c_0_569,hypothesis,
    index_36 = s(index_33),
    hyp167 ).

cnf(c_0_570,hypothesis,
    index_36 = index_39,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_544]),c_0_545]) ).

cnf(c_0_571,hypothesis,
    index_42 = s(index_39),
    hyp169 ).

cnf(c_0_572,hypothesis,
    index_42 = index_45,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_546]),c_0_547]) ).

cnf(c_0_573,hypothesis,
    p(index_45) = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_548]),c_0_549]),c_0_550]) ).

cnf(c_0_574,hypothesis,
    queue_209 = store(q39,seq,earray_208),
    hyp232 ).

cnf(c_0_575,hypothesis,
    store(queue_209,tail,index_111) = q40,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_405]),c_0_423]) ).

cnf(c_0_576,hypothesis,
    ( seq = X1
    | select(queue_215,X1) = select(q40,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_551]) ).

cnf(c_0_577,hypothesis,
    ( tail = X1
    | select(queue_215,X1) = select(q41,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_552]) ).

cnf(c_0_578,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q42,X1) = select(q41,X1) ),
    inference(spm,[status(thm)],[c_0_553,c_0_554]) ).

cnf(c_0_579,hypothesis,
    select(q42,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_496]),c_0_497]) ).

cnf(c_0_580,hypothesis,
    queue_259 = store(queue_257,tail,index_258),
    hyp251 ).

cnf(c_0_581,hypothesis,
    q6 = queue_259,
    hyp327 ).

cnf(c_0_582,hypothesis,
    p(index_3) = index_135,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_557]),c_0_558]) ).

cnf(c_0_583,hypothesis,
    s(index_135) = index_201,
    inference(rw,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_584,hypothesis,
    index_204 = s(index_201),
    hyp133 ).

cnf(c_0_585,hypothesis,
    index_204 = index_249,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_561]),c_0_562]) ).

cnf(c_0_586,hypothesis,
    store(queue_251,tail,index_252) = q5,
    inference(rw,[status(thm)],[c_0_563,c_0_564]) ).

cnf(c_0_587,hypothesis,
    index_255 = select(q5,tail),
    hyp152 ).

cnf(c_0_588,hypothesis,
    store(queue_23,tail,index_24) = q12,
    inference(rw,[status(thm)],[c_0_565,c_0_566]) ).

cnf(c_0_589,hypothesis,
    index_27 = select(q12,tail),
    hyp157 ).

cnf(c_0_590,hypothesis,
    store(queue_29,tail,index_30) = q13,
    inference(rw,[status(thm)],[c_0_567,c_0_568]) ).

cnf(c_0_591,hypothesis,
    index_33 = select(q13,tail),
    hyp166 ).

cnf(c_0_592,hypothesis,
    s(index_33) = index_39,
    inference(rw,[status(thm)],[c_0_569,c_0_570]) ).

cnf(c_0_593,hypothesis,
    s(index_39) = index_45,
    inference(rw,[status(thm)],[c_0_571,c_0_572]) ).

cnf(c_0_594,hypothesis,
    index_45 = index_105,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_573]),c_0_283]) ).

cnf(c_0_595,hypothesis,
    queue_197 = store(q38,seq,earray_196),
    hyp228 ).

cnf(c_0_596,hypothesis,
    store(queue_197,tail,index_105) = q39,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_397]),c_0_415]) ).

cnf(c_0_597,hypothesis,
    ( seq = X1
    | select(queue_209,X1) = select(q39,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_574]) ).

cnf(c_0_598,hypothesis,
    ( tail = X1
    | select(queue_209,X1) = select(q40,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_575]) ).

cnf(c_0_599,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q41,X1) = select(q40,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_577]) ).

cnf(c_0_600,hypothesis,
    select(q41,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_496]),c_0_497]) ).

cnf(c_0_601,hypothesis,
    queue_265 = store(queue_263,tail,index_264),
    hyp253 ).

cnf(c_0_602,hypothesis,
    q7 = queue_265,
    hyp328 ).

cnf(c_0_603,hypothesis,
    store(queue_257,tail,index_258) = q6,
    inference(rw,[status(thm)],[c_0_580,c_0_581]) ).

cnf(c_0_604,hypothesis,
    index_261 = select(q6,tail),
    hyp154 ).

cnf(c_0_605,hypothesis,
    index_3 = index_201,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_582]),c_0_583]) ).

cnf(c_0_606,hypothesis,
    s(index_201) = index_249,
    inference(rw,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_607,hypothesis,
    index_252 = s(index_249),
    hyp151 ).

cnf(c_0_608,hypothesis,
    index_252 = index_255,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_586]),c_0_587]) ).

cnf(c_0_609,hypothesis,
    queue_13 = store(queue_11,tail,index_12),
    hyp203 ).

cnf(c_0_610,hypothesis,
    q10 = queue_13,
    hyp286 ).

cnf(c_0_611,hypothesis,
    queue_19 = store(queue_17,tail,index_18),
    hyp225 ).

cnf(c_0_612,hypothesis,
    q11 = queue_19,
    hyp287 ).

cnf(c_0_613,hypothesis,
    index_24 = s(index_21),
    hyp146 ).

cnf(c_0_614,hypothesis,
    index_24 = index_27,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_588]),c_0_589]) ).

cnf(c_0_615,hypothesis,
    index_30 = s(index_27),
    hyp165 ).

cnf(c_0_616,hypothesis,
    index_30 = index_33,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_590]),c_0_591]) ).

cnf(c_0_617,hypothesis,
    p(index_33) = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_592]),c_0_593]),c_0_594]) ).

cnf(c_0_618,hypothesis,
    queue_191 = store(q37,seq,earray_190),
    hyp226 ).

cnf(c_0_619,hypothesis,
    store(queue_191,tail,index_99) = q38,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_389]),c_0_407]) ).

cnf(c_0_620,hypothesis,
    ( seq = X1
    | select(queue_197,X1) = select(q38,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_595]) ).

cnf(c_0_621,hypothesis,
    ( tail = X1
    | select(queue_197,X1) = select(q39,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_596]) ).

cnf(c_0_622,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q40,X1) = select(q39,X1) ),
    inference(spm,[status(thm)],[c_0_597,c_0_598]) ).

cnf(c_0_623,hypothesis,
    select(q40,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_496]),c_0_497]) ).

cnf(c_0_624,hypothesis,
    queue_271 = store(queue_269,tail,index_270),
    hyp255 ).

cnf(c_0_625,hypothesis,
    q8 = queue_271,
    hyp329 ).

cnf(c_0_626,hypothesis,
    store(queue_263,tail,index_264) = q7,
    inference(rw,[status(thm)],[c_0_601,c_0_602]) ).

cnf(c_0_627,hypothesis,
    index_267 = select(q7,tail),
    hyp156 ).

cnf(c_0_628,hypothesis,
    index_258 = s(index_255),
    hyp153 ).

cnf(c_0_629,hypothesis,
    index_258 = index_261,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_603]),c_0_604]) ).

cnf(c_0_630,hypothesis,
    index_69 = index_249,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_557,c_0_605]),c_0_606]) ).

cnf(c_0_631,hypothesis,
    s(index_249) = index_255,
    inference(rw,[status(thm)],[c_0_607,c_0_608]) ).

cnf(c_0_632,hypothesis,
    store(queue_11,tail,index_12) = q10,
    inference(rw,[status(thm)],[c_0_609,c_0_610]) ).

cnf(c_0_633,hypothesis,
    index_15 = select(q10,tail),
    hyp113 ).

cnf(c_0_634,hypothesis,
    store(queue_17,tail,index_18) = q11,
    inference(rw,[status(thm)],[c_0_611,c_0_612]) ).

cnf(c_0_635,hypothesis,
    index_21 = select(q11,tail),
    hyp135 ).

cnf(c_0_636,hypothesis,
    s(index_21) = index_27,
    inference(rw,[status(thm)],[c_0_613,c_0_614]) ).

cnf(c_0_637,hypothesis,
    s(index_27) = index_33,
    inference(rw,[status(thm)],[c_0_615,c_0_616]) ).

cnf(c_0_638,hypothesis,
    index_33 = index_111,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_617]),c_0_293]) ).

cnf(c_0_639,hypothesis,
    queue_95 = store(q22,seq,earray_94),
    hyp282 ).

cnf(c_0_640,hypothesis,
    store(queue_95,tail,index_99) = q23,
    inference(rw,[status(thm)],[c_0_256,c_0_265]) ).

cnf(c_0_641,hypothesis,
    queue_101 = store(q23,seq,earray_100),
    hyp192 ).

cnf(c_0_642,hypothesis,
    store(queue_101,tail,index_105) = q24,
    inference(rw,[status(thm)],[c_0_266,c_0_274]) ).

cnf(c_0_643,hypothesis,
    queue_185 = store(q36,seq,earray_184),
    hyp223 ).

cnf(c_0_644,hypothesis,
    store(queue_185,tail,index_111) = q37,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_381]),c_0_399]) ).

cnf(c_0_645,hypothesis,
    ( seq = X1
    | select(queue_191,X1) = select(q37,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_618]) ).

cnf(c_0_646,hypothesis,
    ( tail = X1
    | select(queue_191,X1) = select(q38,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_619]) ).

cnf(c_0_647,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q39,X1) = select(q38,X1) ),
    inference(spm,[status(thm)],[c_0_620,c_0_621]) ).

cnf(c_0_648,hypothesis,
    select(q39,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_496]),c_0_497]) ).

cnf(c_0_649,hypothesis,
    queue_277 = store(queue_275,tail,index_276),
    hyp257 ).

cnf(c_0_650,hypothesis,
    q9 = queue_277,
    hyp330 ).

cnf(c_0_651,hypothesis,
    store(queue_269,tail,index_270) = q8,
    inference(rw,[status(thm)],[c_0_624,c_0_625]) ).

cnf(c_0_652,hypothesis,
    index_273 = select(q8,tail),
    hyp159 ).

cnf(c_0_653,hypothesis,
    index_264 = s(index_261),
    hyp155 ).

cnf(c_0_654,hypothesis,
    index_264 = index_267,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_626]),c_0_627]) ).

cnf(c_0_655,hypothesis,
    s(index_255) = index_261,
    inference(rw,[status(thm)],[c_0_628,c_0_629]) ).

cnf(c_0_656,hypothesis,
    index_255 = index_135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_558,c_0_630]),c_0_631]) ).

cnf(c_0_657,hypothesis,
    index_12 = s(index_9),
    hyp102 ).

cnf(c_0_658,hypothesis,
    index_12 = index_15,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_632]),c_0_633]) ).

cnf(c_0_659,hypothesis,
    index_18 = s(index_15),
    hyp124 ).

cnf(c_0_660,hypothesis,
    index_18 = index_21,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_634]),c_0_635]) ).

cnf(c_0_661,hypothesis,
    p(index_21) = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_636]),c_0_637]),c_0_638]) ).

cnf(c_0_662,hypothesis,
    queue_89 = store(q21,seq,earray_88),
    hyp280 ).

cnf(c_0_663,hypothesis,
    store(queue_89,tail,index_111) = q22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_263]),c_0_302]) ).

cnf(c_0_664,hypothesis,
    ( seq = X1
    | select(queue_95,X1) = select(q22,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_639]) ).

cnf(c_0_665,hypothesis,
    ( tail = X1
    | select(queue_95,X1) = select(q23,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_640]) ).

cnf(c_0_666,hypothesis,
    ( seq = X1
    | select(queue_101,X1) = select(q23,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_641]) ).

cnf(c_0_667,hypothesis,
    ( tail = X1
    | select(queue_101,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_642]) ).

cnf(c_0_668,hypothesis,
    queue_179 = store(q35,seq,earray_178),
    hyp221 ).

cnf(c_0_669,hypothesis,
    store(queue_179,tail,index_105) = q36,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_373]),c_0_391]) ).

cnf(c_0_670,hypothesis,
    ( seq = X1
    | select(queue_185,X1) = select(q36,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_643]) ).

cnf(c_0_671,hypothesis,
    ( tail = X1
    | select(queue_185,X1) = select(q37,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_644]) ).

cnf(c_0_672,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q38,X1) = select(q37,X1) ),
    inference(spm,[status(thm)],[c_0_645,c_0_646]) ).

cnf(c_0_673,hypothesis,
    select(q38,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_648]),c_0_496]),c_0_497]) ).

cnf(c_0_674,hypothesis,
    store(queue_275,tail,index_276) = q9,
    inference(rw,[status(thm)],[c_0_649,c_0_650]) ).

cnf(c_0_675,hypothesis,
    index_9 = select(q9,tail),
    hyp186 ).

cnf(c_0_676,hypothesis,
    index_270 = s(index_267),
    hyp158 ).

cnf(c_0_677,hypothesis,
    index_270 = index_273,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_651]),c_0_652]) ).

cnf(c_0_678,hypothesis,
    s(index_261) = index_267,
    inference(rw,[status(thm)],[c_0_653,c_0_654]) ).

cnf(c_0_679,hypothesis,
    index_261 = index_201,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_655,c_0_656]),c_0_583]) ).

cnf(c_0_680,hypothesis,
    s(index_9) = index_15,
    inference(rw,[status(thm)],[c_0_657,c_0_658]) ).

cnf(c_0_681,hypothesis,
    s(index_15) = index_21,
    inference(rw,[status(thm)],[c_0_659,c_0_660]) ).

cnf(c_0_682,hypothesis,
    index_21 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_661]),c_0_303]),c_0_311]) ).

cnf(c_0_683,hypothesis,
    index_81 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_473,c_0_508]),c_0_303]),c_0_311]) ).

cnf(c_0_684,hypothesis,
    queue_83 = store(q20,seq,earray_82),
    hyp278 ).

cnf(c_0_685,hypothesis,
    store(queue_83,tail,index_105) = q21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_465]),c_0_292]) ).

cnf(c_0_686,hypothesis,
    ( seq = X1
    | select(queue_89,X1) = select(q21,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_662]) ).

cnf(c_0_687,hypothesis,
    ( tail = X1
    | select(queue_89,X1) = select(q22,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_663]) ).

cnf(c_0_688,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q23,X1) = select(q22,X1) ),
    inference(spm,[status(thm)],[c_0_664,c_0_665]) ).

cnf(c_0_689,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q23,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_666,c_0_667]) ).

cnf(c_0_690,hypothesis,
    queue_173 = store(q34,seq,earray_172),
    hyp219 ).

cnf(c_0_691,hypothesis,
    store(queue_173,tail,index_99) = q35,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_365]),c_0_383]) ).

cnf(c_0_692,hypothesis,
    ( seq = X1
    | select(queue_179,X1) = select(q35,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_668]) ).

cnf(c_0_693,hypothesis,
    ( tail = X1
    | select(queue_179,X1) = select(q36,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_669]) ).

cnf(c_0_694,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q37,X1) = select(q36,X1) ),
    inference(spm,[status(thm)],[c_0_670,c_0_671]) ).

cnf(c_0_695,hypothesis,
    select(q37,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_496]),c_0_497]) ).

cnf(c_0_696,hypothesis,
    index_276 = s(index_273),
    hyp160 ).

cnf(c_0_697,hypothesis,
    index_276 = index_9,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_674]),c_0_675]) ).

cnf(c_0_698,hypothesis,
    s(index_267) = index_273,
    inference(rw,[status(thm)],[c_0_676,c_0_677]) ).

cnf(c_0_699,hypothesis,
    index_267 = index_249,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_678,c_0_679]),c_0_606]) ).

cnf(c_0_700,hypothesis,
    p(index_9) = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_680]),c_0_681]),c_0_682]) ).

cnf(c_0_701,hypothesis,
    queue_77 = store(q19,seq,earray_76),
    hyp276 ).

cnf(c_0_702,hypothesis,
    store(queue_77,tail,index_99) = q20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_463]),c_0_683]) ).

cnf(c_0_703,hypothesis,
    ( seq = X1
    | select(queue_83,X1) = select(q20,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_684]) ).

cnf(c_0_704,hypothesis,
    ( tail = X1
    | select(queue_83,X1) = select(q21,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_685]) ).

cnf(c_0_705,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q22,X1) = select(q21,X1) ),
    inference(spm,[status(thm)],[c_0_686,c_0_687]) ).

cnf(c_0_706,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q22,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_688,c_0_689]) ).

cnf(c_0_707,hypothesis,
    queue_167 = store(q33,seq,earray_166),
    hyp216 ).

cnf(c_0_708,hypothesis,
    store(queue_167,tail,index_111) = q34,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_357]),c_0_375]) ).

cnf(c_0_709,hypothesis,
    ( seq = X1
    | select(queue_173,X1) = select(q34,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_690]) ).

cnf(c_0_710,hypothesis,
    ( tail = X1
    | select(queue_173,X1) = select(q35,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_691]) ).

cnf(c_0_711,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q36,X1) = select(q35,X1) ),
    inference(spm,[status(thm)],[c_0_692,c_0_693]) ).

cnf(c_0_712,hypothesis,
    select(q36,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_695]),c_0_496]),c_0_497]) ).

cnf(c_0_713,hypothesis,
    s(index_273) = index_9,
    inference(rw,[status(thm)],[c_0_696,c_0_697]) ).

cnf(c_0_714,hypothesis,
    index_273 = index_135,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_698,c_0_699]),c_0_631]),c_0_656]) ).

cnf(c_0_715,hypothesis,
    index_9 = index_105,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_700]),c_0_283]) ).

cnf(c_0_716,hypothesis,
    index_63 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_506,c_0_550]),c_0_283]) ).

cnf(c_0_717,hypothesis,
    queue_65 = store(q18,seq,earray_64),
    hyp271 ).

cnf(c_0_718,hypothesis,
    store(queue_65,tail,index_111) = q19,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_471,c_0_488]),c_0_508]) ).

cnf(c_0_719,hypothesis,
    ( seq = X1
    | select(queue_77,X1) = select(q19,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_701]) ).

cnf(c_0_720,hypothesis,
    ( tail = X1
    | select(queue_77,X1) = select(q20,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_702]) ).

cnf(c_0_721,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q21,X1) = select(q20,X1) ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_722,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q21,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_705,c_0_706]) ).

cnf(c_0_723,hypothesis,
    queue_161 = store(q32,seq,earray_160),
    hyp214 ).

cnf(c_0_724,hypothesis,
    store(queue_161,tail,index_105) = q33,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_349]),c_0_367]) ).

cnf(c_0_725,hypothesis,
    ( seq = X1
    | select(queue_167,X1) = select(q33,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_707]) ).

cnf(c_0_726,hypothesis,
    ( tail = X1
    | select(queue_167,X1) = select(q34,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_708]) ).

cnf(c_0_727,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q35,X1) = select(q34,X1) ),
    inference(spm,[status(thm)],[c_0_709,c_0_710]) ).

cnf(c_0_728,hypothesis,
    select(q35,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_712]),c_0_496]),c_0_497]) ).

cnf(c_0_729,hypothesis,
    index_201 = index_9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_713,c_0_714]),c_0_583]) ).

cnf(c_0_730,hypothesis,
    p(index_105) = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_293]),c_0_303]),c_0_311]) ).

cnf(c_0_731,hypothesis,
    index_15 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_680,c_0_715]),c_0_293]) ).

cnf(c_0_732,hypothesis,
    queue_59 = store(q17,seq,earray_58),
    hyp269 ).

cnf(c_0_733,hypothesis,
    store(queue_59,tail,index_105) = q18,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_486]),c_0_716]) ).

cnf(c_0_734,hypothesis,
    ( seq = X1
    | select(queue_65,X1) = select(q18,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_717]) ).

cnf(c_0_735,hypothesis,
    ( tail = X1
    | select(queue_65,X1) = select(q19,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_718]) ).

cnf(c_0_736,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q20,X1) = select(q19,X1) ),
    inference(spm,[status(thm)],[c_0_719,c_0_720]) ).

cnf(c_0_737,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q20,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_721,c_0_722]) ).

cnf(c_0_738,hypothesis,
    queue_155 = store(q31,seq,earray_154),
    hyp212 ).

cnf(c_0_739,hypothesis,
    store(queue_155,tail,index_99) = q32,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_341]),c_0_359]) ).

cnf(c_0_740,hypothesis,
    ( seq = X1
    | select(queue_161,X1) = select(q32,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_723]) ).

cnf(c_0_741,hypothesis,
    ( tail = X1
    | select(queue_161,X1) = select(q33,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_724]) ).

cnf(c_0_742,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q34,X1) = select(q33,X1) ),
    inference(spm,[status(thm)],[c_0_725,c_0_726]) ).

cnf(c_0_743,hypothesis,
    select(q34,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_728]),c_0_496]),c_0_497]) ).

cnf(c_0_744,hypothesis,
    index_135 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_582,c_0_605]),c_0_729]),c_0_715]),c_0_730]) ).

cnf(c_0_745,hypothesis,
    queue_275 = store(q8,seq,earray_274),
    hyp256 ).

cnf(c_0_746,hypothesis,
    store(queue_275,tail,index_105) = q9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_674,c_0_697]),c_0_715]) ).

cnf(c_0_747,hypothesis,
    queue_11 = store(q9,seq,earray_10),
    hyp196 ).

cnf(c_0_748,hypothesis,
    store(queue_11,tail,index_111) = q10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_632,c_0_658]),c_0_731]) ).

cnf(c_0_749,hypothesis,
    index_51 = index_111,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_548,c_0_594]),c_0_293]) ).

cnf(c_0_750,hypothesis,
    queue_53 = store(q16,seq,earray_52),
    hyp267 ).

cnf(c_0_751,hypothesis,
    store(queue_53,tail,index_99) = q17,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_504,c_0_528]),c_0_550]) ).

cnf(c_0_752,hypothesis,
    ( seq = X1
    | select(queue_59,X1) = select(q17,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_732]) ).

cnf(c_0_753,hypothesis,
    ( tail = X1
    | select(queue_59,X1) = select(q18,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_733]) ).

cnf(c_0_754,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q19,X1) = select(q18,X1) ),
    inference(spm,[status(thm)],[c_0_734,c_0_735]) ).

cnf(c_0_755,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q19,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_736,c_0_737]) ).

cnf(c_0_756,hypothesis,
    queue_149 = store(q30,seq,earray_148),
    hyp210 ).

cnf(c_0_757,hypothesis,
    store(queue_149,tail,index_111) = q31,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_333]),c_0_351]) ).

cnf(c_0_758,hypothesis,
    ( seq = X1
    | select(queue_155,X1) = select(q31,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_738]) ).

cnf(c_0_759,hypothesis,
    ( tail = X1
    | select(queue_155,X1) = select(q32,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_739]) ).

cnf(c_0_760,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q33,X1) = select(q32,X1) ),
    inference(spm,[status(thm)],[c_0_740,c_0_741]) ).

cnf(c_0_761,hypothesis,
    select(q33,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_743]),c_0_496]),c_0_497]) ).

cnf(c_0_762,hypothesis,
    index_249 = index_15,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_606,c_0_729]),c_0_680]) ).

cnf(c_0_763,hypothesis,
    queue_269 = store(q7,seq,earray_268),
    hyp254 ).

cnf(c_0_764,hypothesis,
    store(queue_269,tail,index_99) = q8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_651,c_0_677]),c_0_714]),c_0_744]) ).

cnf(c_0_765,hypothesis,
    ( seq = X1
    | select(queue_275,X1) = select(q8,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_745]) ).

cnf(c_0_766,hypothesis,
    ( tail = X1
    | select(queue_275,X1) = select(q9,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_746]) ).

cnf(c_0_767,hypothesis,
    ( seq = X1
    | select(queue_11,X1) = select(q9,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_747]) ).

cnf(c_0_768,hypothesis,
    ( tail = X1
    | select(queue_11,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_748]) ).

cnf(c_0_769,hypothesis,
    queue_47 = store(q15,seq,earray_46),
    hyp264 ).

cnf(c_0_770,hypothesis,
    store(queue_47,tail,index_111) = q16,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_502,c_0_526]),c_0_749]) ).

cnf(c_0_771,hypothesis,
    ( seq = X1
    | select(queue_53,X1) = select(q16,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_750]) ).

cnf(c_0_772,hypothesis,
    ( tail = X1
    | select(queue_53,X1) = select(q17,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_751]) ).

cnf(c_0_773,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q18,X1) = select(q17,X1) ),
    inference(spm,[status(thm)],[c_0_752,c_0_753]) ).

cnf(c_0_774,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q18,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_754,c_0_755]) ).

cnf(c_0_775,hypothesis,
    queue_143 = store(q29,seq,earray_142),
    hyp208 ).

cnf(c_0_776,hypothesis,
    store(queue_143,tail,index_105) = q30,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_325]),c_0_343]) ).

cnf(c_0_777,hypothesis,
    ( seq = X1
    | select(queue_149,X1) = select(q30,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_756]) ).

cnf(c_0_778,hypothesis,
    ( tail = X1
    | select(queue_149,X1) = select(q31,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_757]) ).

cnf(c_0_779,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q32,X1) = select(q31,X1) ),
    inference(spm,[status(thm)],[c_0_758,c_0_759]) ).

cnf(c_0_780,hypothesis,
    select(q32,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_761]),c_0_496]),c_0_497]) ).

cnf(c_0_781,hypothesis,
    queue_263 = store(q6,seq,earray_262),
    hyp252 ).

cnf(c_0_782,hypothesis,
    store(queue_263,tail,index_111) = q7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_626,c_0_654]),c_0_699]),c_0_762]),c_0_731]) ).

cnf(c_0_783,hypothesis,
    ( seq = X1
    | select(queue_269,X1) = select(q7,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_763]) ).

cnf(c_0_784,hypothesis,
    ( tail = X1
    | select(queue_269,X1) = select(q8,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_764]) ).

cnf(c_0_785,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q9,X1) = select(q8,X1) ),
    inference(spm,[status(thm)],[c_0_765,c_0_766]) ).

cnf(c_0_786,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q9,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_767,c_0_768]) ).

cnf(c_0_787,hypothesis,
    index_39 = index_99,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_592,c_0_638]),c_0_303]),c_0_311]) ).

cnf(c_0_788,hypothesis,
    queue_41 = store(q14,seq,earray_40),
    hyp262 ).

cnf(c_0_789,hypothesis,
    store(queue_41,tail,index_105) = q15,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_546,c_0_572]),c_0_594]) ).

cnf(c_0_790,hypothesis,
    ( seq = X1
    | select(queue_47,X1) = select(q15,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_769]) ).

cnf(c_0_791,hypothesis,
    ( tail = X1
    | select(queue_47,X1) = select(q16,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_770]) ).

cnf(c_0_792,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q17,X1) = select(q16,X1) ),
    inference(spm,[status(thm)],[c_0_771,c_0_772]) ).

cnf(c_0_793,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q17,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_773,c_0_774]) ).

cnf(c_0_794,hypothesis,
    queue_131 = store(q28,seq,earray_130),
    hyp204 ).

cnf(c_0_795,hypothesis,
    store(queue_131,tail,index_99) = q29,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_317]),c_0_335]) ).

cnf(c_0_796,hypothesis,
    ( seq = X1
    | select(queue_143,X1) = select(q29,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_775]) ).

cnf(c_0_797,hypothesis,
    ( tail = X1
    | select(queue_143,X1) = select(q30,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_776]) ).

cnf(c_0_798,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q31,X1) = select(q30,X1) ),
    inference(spm,[status(thm)],[c_0_777,c_0_778]) ).

cnf(c_0_799,hypothesis,
    select(q31,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_779,c_0_780]),c_0_496]),c_0_497]) ).

cnf(c_0_800,hypothesis,
    queue_257 = store(q5,seq,earray_256),
    hyp250 ).

cnf(c_0_801,hypothesis,
    store(queue_257,tail,index_105) = q6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_603,c_0_629]),c_0_679]),c_0_729]),c_0_715]) ).

cnf(c_0_802,hypothesis,
    ( seq = X1
    | select(queue_263,X1) = select(q6,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_781]) ).

cnf(c_0_803,hypothesis,
    ( tail = X1
    | select(queue_263,X1) = select(q7,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_782]) ).

cnf(c_0_804,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q8,X1) = select(q7,X1) ),
    inference(spm,[status(thm)],[c_0_783,c_0_784]) ).

cnf(c_0_805,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q8,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_785,c_0_786]) ).

cnf(c_0_806,hypothesis,
    queue_35 = store(q13,seq,earray_34),
    hyp260 ).

cnf(c_0_807,hypothesis,
    store(queue_35,tail,index_99) = q14,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_570]),c_0_787]) ).

cnf(c_0_808,hypothesis,
    ( seq = X1
    | select(queue_41,X1) = select(q14,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_788]) ).

cnf(c_0_809,hypothesis,
    ( tail = X1
    | select(queue_41,X1) = select(q15,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_789]) ).

cnf(c_0_810,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q16,X1) = select(q15,X1) ),
    inference(spm,[status(thm)],[c_0_790,c_0_791]) ).

cnf(c_0_811,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q16,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_792,c_0_793]) ).

cnf(c_0_812,hypothesis,
    queue_125 = store(q27,seq,earray_124),
    hyp201 ).

cnf(c_0_813,hypothesis,
    store(queue_125,tail,index_111) = q28,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_309]),c_0_327]) ).

cnf(c_0_814,hypothesis,
    ( seq = X1
    | select(queue_131,X1) = select(q28,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_794]) ).

cnf(c_0_815,hypothesis,
    ( tail = X1
    | select(queue_131,X1) = select(q29,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_795]) ).

cnf(c_0_816,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q30,X1) = select(q29,X1) ),
    inference(spm,[status(thm)],[c_0_796,c_0_797]) ).

cnf(c_0_817,hypothesis,
    select(q30,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_496]),c_0_497]) ).

cnf(c_0_818,hypothesis,
    queue_71 = store(q1,seq,earray_70),
    hyp274 ).

cnf(c_0_819,hypothesis,
    store(queue_71,tail,index_99) = q2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_517,c_0_539]),c_0_744]) ).

cnf(c_0_820,hypothesis,
    queue_137 = store(q2,seq,earray_136),
    hyp206 ).

cnf(c_0_821,hypothesis,
    store(queue_137,tail,index_105) = q3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_560]),c_0_729]),c_0_715]) ).

cnf(c_0_822,hypothesis,
    queue_251 = store(q4,seq,earray_250),
    hyp248 ).

cnf(c_0_823,hypothesis,
    store(queue_251,tail,index_99) = q5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_586,c_0_608]),c_0_656]),c_0_744]) ).

cnf(c_0_824,hypothesis,
    ( seq = X1
    | select(queue_257,X1) = select(q5,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_800]) ).

cnf(c_0_825,hypothesis,
    ( tail = X1
    | select(queue_257,X1) = select(q6,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_801]) ).

cnf(c_0_826,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q7,X1) = select(q6,X1) ),
    inference(spm,[status(thm)],[c_0_802,c_0_803]) ).

cnf(c_0_827,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q7,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_804,c_0_805]) ).

cnf(c_0_828,hypothesis,
    index_27 = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_636,c_0_682]),c_0_283]) ).

cnf(c_0_829,hypothesis,
    queue_29 = store(q12,seq,earray_28),
    hyp258 ).

cnf(c_0_830,hypothesis,
    store(queue_29,tail,index_111) = q13,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_590,c_0_616]),c_0_638]) ).

cnf(c_0_831,hypothesis,
    ( seq = X1
    | select(queue_35,X1) = select(q13,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_806]) ).

cnf(c_0_832,hypothesis,
    ( tail = X1
    | select(queue_35,X1) = select(q14,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_807]) ).

cnf(c_0_833,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q15,X1) = select(q14,X1) ),
    inference(spm,[status(thm)],[c_0_808,c_0_809]) ).

cnf(c_0_834,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q15,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_810,c_0_811]) ).

cnf(c_0_835,hypothesis,
    queue_119 = store(q26,seq,earray_118),
    hyp199 ).

cnf(c_0_836,hypothesis,
    store(queue_119,tail,index_105) = q27,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_301]),c_0_319]) ).

cnf(c_0_837,hypothesis,
    ( seq = X1
    | select(queue_125,X1) = select(q27,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_812]) ).

cnf(c_0_838,hypothesis,
    ( tail = X1
    | select(queue_125,X1) = select(q28,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_813]) ).

cnf(c_0_839,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q29,X1) = select(q28,X1) ),
    inference(spm,[status(thm)],[c_0_814,c_0_815]) ).

cnf(c_0_840,hypothesis,
    select(q29,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_817]),c_0_496]),c_0_497]) ).

cnf(c_0_841,hypothesis,
    queue_5 = store(q0,seq,earray_4),
    hyp266 ).

cnf(c_0_842,hypothesis,
    store(queue_5,tail,index_111) = q1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_515,c_0_537]),c_0_630]),c_0_762]),c_0_731]) ).

cnf(c_0_843,hypothesis,
    ( seq = X1
    | select(queue_71,X1) = select(q1,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_818]) ).

cnf(c_0_844,hypothesis,
    ( tail = X1
    | select(queue_71,X1) = select(q2,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_819]) ).

cnf(c_0_845,hypothesis,
    ( seq = X1
    | select(queue_137,X1) = select(q2,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_820]) ).

cnf(c_0_846,hypothesis,
    ( tail = X1
    | select(queue_137,X1) = select(q3,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_821]) ).

cnf(c_0_847,hypothesis,
    queue_203 = store(q3,seq,earray_202),
    hyp230 ).

cnf(c_0_848,hypothesis,
    store(queue_203,tail,index_111) = q4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_561,c_0_585]),c_0_762]),c_0_731]) ).

cnf(c_0_849,hypothesis,
    ( seq = X1
    | select(queue_251,X1) = select(q4,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_822]) ).

cnf(c_0_850,hypothesis,
    ( tail = X1
    | select(queue_251,X1) = select(q5,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_823]) ).

cnf(c_0_851,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q6,X1) = select(q5,X1) ),
    inference(spm,[status(thm)],[c_0_824,c_0_825]) ).

cnf(c_0_852,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q6,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_826,c_0_827]) ).

cnf(c_0_853,hypothesis,
    queue_23 = store(q11,seq,earray_22),
    hyp240 ).

cnf(c_0_854,hypothesis,
    store(queue_23,tail,index_105) = q12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_588,c_0_614]),c_0_828]) ).

cnf(c_0_855,hypothesis,
    ( seq = X1
    | select(queue_29,X1) = select(q12,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_829]) ).

cnf(c_0_856,hypothesis,
    ( tail = X1
    | select(queue_29,X1) = select(q13,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_830]) ).

cnf(c_0_857,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q14,X1) = select(q13,X1) ),
    inference(spm,[status(thm)],[c_0_831,c_0_832]) ).

cnf(c_0_858,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q14,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_833,c_0_834]) ).

cnf(c_0_859,hypothesis,
    index_281 = select(q46,tail),
    hyp162 ).

cnf(c_0_860,hypothesis,
    queue_113 = store(q25,seq,earray_112),
    hyp197 ).

cnf(c_0_861,hypothesis,
    store(queue_113,tail,index_99) = q26,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_295]),c_0_311]) ).

cnf(c_0_862,hypothesis,
    ( seq = X1
    | select(queue_119,X1) = select(q26,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_835]) ).

cnf(c_0_863,hypothesis,
    ( tail = X1
    | select(queue_119,X1) = select(q27,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_836]) ).

cnf(c_0_864,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q28,X1) = select(q27,X1) ),
    inference(spm,[status(thm)],[c_0_837,c_0_838]) ).

cnf(c_0_865,hypothesis,
    select(q28,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_840]),c_0_496]),c_0_497]) ).

cnf(c_0_866,hypothesis,
    ( seq = X1
    | select(queue_5,X1) = select(q0,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_841]) ).

cnf(c_0_867,hypothesis,
    ( tail = X1
    | select(queue_5,X1) = select(q1,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_842]) ).

cnf(c_0_868,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q2,X1) = select(q1,X1) ),
    inference(spm,[status(thm)],[c_0_843,c_0_844]) ).

cnf(c_0_869,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q2,X1) = select(q3,X1) ),
    inference(spm,[status(thm)],[c_0_845,c_0_846]) ).

cnf(c_0_870,hypothesis,
    ( seq = X1
    | select(queue_203,X1) = select(q3,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_847]) ).

cnf(c_0_871,hypothesis,
    ( tail = X1
    | select(queue_203,X1) = select(q4,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_848]) ).

cnf(c_0_872,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q5,X1) = select(q4,X1) ),
    inference(spm,[status(thm)],[c_0_849,c_0_850]) ).

cnf(c_0_873,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q5,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_851,c_0_852]) ).

cnf(c_0_874,hypothesis,
    queue_17 = store(q10,seq,earray_16),
    hyp218 ).

cnf(c_0_875,hypothesis,
    store(queue_17,tail,index_99) = q11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_634,c_0_660]),c_0_682]) ).

cnf(c_0_876,hypothesis,
    ( seq = X1
    | select(queue_23,X1) = select(q11,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_853]) ).

cnf(c_0_877,hypothesis,
    ( tail = X1
    | select(queue_23,X1) = select(q12,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_854]) ).

cnf(c_0_878,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q13,X1) = select(q12,X1) ),
    inference(spm,[status(thm)],[c_0_855,c_0_856]) ).

cnf(c_0_879,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q13,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_857,c_0_858]) ).

cnf(c_0_880,hypothesis,
    queue_1 = store(q,head,index_0),
    hyp191 ).

cnf(c_0_881,hypothesis,
    q0 = queue_1,
    hyp284 ).

cnf(c_0_882,hypothesis,
    s(index_282) = index_281,
    hyp163 ).

cnf(c_0_883,hypothesis,
    index_281 = index_246,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_456]),c_0_859]) ).

cnf(c_0_884,hypothesis,
    queue_107 = store(q24,seq,earray_106),
    hyp194 ).

cnf(c_0_885,hypothesis,
    store(queue_107,tail,index_111) = q25,
    inference(rw,[status(thm)],[c_0_275,c_0_285]) ).

cnf(c_0_886,hypothesis,
    ( seq = X1
    | select(queue_113,X1) = select(q25,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_860]) ).

cnf(c_0_887,hypothesis,
    ( tail = X1
    | select(queue_113,X1) = select(q26,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_861]) ).

cnf(c_0_888,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q27,X1) = select(q26,X1) ),
    inference(spm,[status(thm)],[c_0_862,c_0_863]) ).

cnf(c_0_889,hypothesis,
    select(q27,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_865]),c_0_496]),c_0_497]) ).

cnf(c_0_890,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q1,X1) = select(q0,X1) ),
    inference(spm,[status(thm)],[c_0_866,c_0_867]) ).

cnf(c_0_891,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q1,X1) = select(q3,X1) ),
    inference(spm,[status(thm)],[c_0_868,c_0_869]) ).

cnf(c_0_892,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q4,X1) = select(q3,X1) ),
    inference(spm,[status(thm)],[c_0_870,c_0_871]) ).

cnf(c_0_893,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q4,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_872,c_0_873]) ).

cnf(c_0_894,hypothesis,
    ( seq = X1
    | select(queue_17,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_874]) ).

cnf(c_0_895,hypothesis,
    ( tail = X1
    | select(queue_17,X1) = select(q11,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_875]) ).

cnf(c_0_896,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q12,X1) = select(q11,X1) ),
    inference(spm,[status(thm)],[c_0_876,c_0_877]) ).

cnf(c_0_897,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q12,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_878,c_0_879]) ).

cnf(c_0_898,hypothesis,
    store(q,head,index_0) = q0,
    inference(rw,[status(thm)],[c_0_880,c_0_881]) ).

cnf(c_0_899,hypothesis,
    index_3 = select(q0,tail),
    hyp164 ).

cnf(c_0_900,hypothesis,
    earray_244 = store(earray_242,index_243,e45),
    hyp54 ).

cnf(c_0_901,plain,
    tail != seq,
    inference(fof_simplification,[status(thm)],[tail_distinct_from_seq]) ).

cnf(c_0_902,hypothesis,
    s(index_282) = index_246,
    inference(rw,[status(thm)],[c_0_882,c_0_883]) ).

cnf(c_0_903,hypothesis,
    p(index_246) = index_243,
    inference(spm,[status(thm)],[c_0_260,c_0_450]) ).

cnf(c_0_904,hypothesis,
    ( seq = X1
    | select(queue_107,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_884]) ).

cnf(c_0_905,hypothesis,
    ( tail = X1
    | select(queue_107,X1) = select(q25,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_885]) ).

cnf(c_0_906,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q26,X1) = select(q25,X1) ),
    inference(spm,[status(thm)],[c_0_886,c_0_887]) ).

cnf(c_0_907,hypothesis,
    select(q26,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_889]),c_0_496]),c_0_497]) ).

cnf(c_0_908,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q3,X1) = select(q0,X1) ),
    inference(spm,[status(thm)],[c_0_890,c_0_891]) ).

cnf(c_0_909,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q3,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_892,c_0_893]) ).

cnf(c_0_910,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q11,X1) = select(q10,X1) ),
    inference(spm,[status(thm)],[c_0_894,c_0_895]) ).

cnf(c_0_911,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q11,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_896,c_0_897]) ).

cnf(c_0_912,hypothesis,
    index_0 = select(q,tail),
    hyp95 ).

cnf(c_0_913,hypothesis,
    ( head = X1
    | select(q,X1) = select(q0,X1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_898]) ).

cnf(c_0_914,hypothesis,
    select(q0,tail) = index_105,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_899,c_0_605]),c_0_729]),c_0_715]) ).

cnf(c_0_915,hypothesis,
    store(earray_242,index_105,e45) = earray_244,
    inference(rw,[status(thm)],[c_0_900,c_0_451]) ).

cnf(c_0_916,hypothesis,
    select(queue_245,seq) = earray_244,
    inference(spm,[status(thm)],[c_0_253,c_0_467]) ).

cnf(c_0_917,hypothesis,
    earray_278 = select(q46,seq),
    hyp66 ).

cnf(c_0_918,plain,
    tail != seq,
    c_0_901 ).

cnf(c_0_919,hypothesis,
    elem_283 = select(earray_278,index_282),
    hyp94 ).

cnf(c_0_920,hypothesis,
    index_282 = index_243,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_902]),c_0_903]) ).

cnf(c_0_921,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q25,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_904,c_0_905]) ).

cnf(c_0_922,hypothesis,
    select(q25,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_907]),c_0_496]),c_0_497]) ).

cnf(c_0_923,hypothesis,
    ( seq = X1
    | tail = X1
    | select(q10,X1) = select(q0,X1) ),
    inference(spm,[status(thm)],[c_0_908,c_0_909]) ).

cnf(c_0_924,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q10,X1) = select(q24,X1) ),
    inference(spm,[status(thm)],[c_0_910,c_0_911]) ).

cnf(c_0_925,hypothesis,
    select(q0,head) = index_0,
    inference(spm,[status(thm)],[c_0_253,c_0_898]) ).

cnf(c_0_926,hypothesis,
    index_0 = index_105,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_912,c_0_913]),c_0_496]),c_0_914]) ).

cnf(c_0_927,negated_conjecture,
    elem_280 != elem_283,
    inference(fof_simplification,[status(thm)],[goal]) ).

cnf(c_0_928,hypothesis,
    select(earray_244,index_105) = e45,
    inference(spm,[status(thm)],[c_0_253,c_0_915]) ).

cnf(c_0_929,hypothesis,
    earray_244 = earray_278,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_478]),c_0_917]),c_0_918]) ).

cnf(c_0_930,hypothesis,
    select(earray_278,index_105) = elem_283,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_919,c_0_920]),c_0_451]) ).

cnf(c_0_931,hypothesis,
    select(q24,head) = index_279,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_921,c_0_922]),c_0_496]),c_0_497]) ).

cnf(c_0_932,hypothesis,
    ( tail = X1
    | seq = X1
    | select(q24,X1) = select(q0,X1) ),
    inference(spm,[status(thm)],[c_0_923,c_0_924]) ).

cnf(c_0_933,hypothesis,
    select(q0,head) = index_105,
    inference(rw,[status(thm)],[c_0_925,c_0_926]) ).

cnf(c_0_934,negated_conjecture,
    elem_280 != elem_283,
    c_0_927 ).

cnf(c_0_935,hypothesis,
    elem_283 = e45,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_928,c_0_929]),c_0_930]) ).

cnf(c_0_936,hypothesis,
    elem_280 = select(earray_278,index_279),
    hyp93 ).

cnf(c_0_937,hypothesis,
    index_279 = index_105,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_932]),c_0_933]),c_0_497]),c_0_496]) ).

cnf(c_0_938,negated_conjecture,
    elem_280 != e45,
    inference(rw,[status(thm)],[c_0_934,c_0_935]) ).

cnf(c_0_939,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_936,c_0_937]),c_0_930]),c_0_935]),c_0_938]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV571-1.046 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n010.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 09:11:25 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43  Running first-order theorem proving
% 0.09/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % Version: 3.5.1
% 0.20/0.50  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.20/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.20/0.50  % Starting new_bool_3 with 600s (2) cores
% 0.20/0.50  % Starting new_bool_1 with 600s (2) cores
% 0.20/0.50  % Starting sh5l with 300s (1) cores
% 0.20/0.50  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 548470 completed with status 0
% 0.20/0.50  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.20/0.50  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.20/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.20/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.50  % No SInE strategy applied
% 0.20/0.50  % Search class: FGUPM-FFLM31-MFFFFFNN
% 0.20/0.50  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.20/0.50  % Starting SubtermCWHack with 82s (1) cores
% 0.20/0.50  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 0.20/0.50  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 82s (1) cores
% 0.20/0.50  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 548477 completed with status 0
% 0.20/0.50  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.20/0.50  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.20/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.20/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.50  % No SInE strategy applied
% 0.20/0.50  % Search class: FGUPM-FFLM31-MFFFFFNN
% 0.20/0.50  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.20/0.50  % Starting SubtermCWHack with 82s (1) cores
% 0.20/0.50  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 0.20/0.50  % Preprocessing time       : 0.002 s
% 0.20/0.50  
% 0.20/0.50  % Proof found!
% 0.20/0.50  % SZS status Unsatisfiable
% 0.20/0.50  % SZS output start CNFRefutation
% See solution above
% 0.20/0.51  % Parsed axioms                        : 342
% 0.20/0.51  % Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  % Initial clauses                      : 342
% 0.20/0.51  % Removed in clause preprocessing      : 0
% 0.20/0.51  % Initial clauses in saturation        : 342
% 0.20/0.51  % Processed clauses                    : 1717
% 0.20/0.51  % ...of these trivial                  : 27
% 0.20/0.51  % ...subsumed                          : 209
% 0.20/0.51  % ...remaining for further processing  : 1481
% 0.20/0.51  % Other redundant clauses eliminated   : 0
% 0.20/0.51  % Clauses deleted for lack of memory   : 0
% 0.20/0.51  % Backward-subsumed                    : 0
% 0.20/0.51  % Backward-rewritten                   : 723
% 0.20/0.51  % Generated clauses                    : 1267
% 0.20/0.51  % ...of the previous two non-redundant : 1763
% 0.20/0.51  % ...aggressively subsumed             : 0
% 0.20/0.51  % Contextual simplify-reflections      : 0
% 0.20/0.51  % Paramodulations                      : 1267
% 0.20/0.51  % Factorizations                       : 0
% 0.20/0.51  % NegExts                              : 0
% 0.20/0.51  % Equation resolutions                 : 0
% 0.20/0.51  % Disequality decompositions           : 0
% 0.20/0.51  % Total rewrite steps                  : 1436
% 0.20/0.51  % ...of those cached                   : 995
% 0.20/0.51  % Propositional unsat checks           : 0
% 0.20/0.51  %    Propositional check models        : 0
% 0.20/0.51  %    Propositional check unsatisfiable : 0
% 0.20/0.51  %    Propositional clauses             : 0
% 0.20/0.51  %    Propositional clauses after purity: 0
% 0.20/0.51  %    Propositional unsat core size     : 0
% 0.20/0.51  %    Propositional preprocessing time  : 0.000
% 0.20/0.51  %    Propositional encoding time       : 0.000
% 0.20/0.51  %    Propositional solver time         : 0.000
% 0.20/0.51  %    Success case prop preproc time    : 0.000
% 0.20/0.51  %    Success case prop encoding time   : 0.000
% 0.20/0.51  %    Success case prop solver time     : 0.000
% 0.20/0.51  % Current number of processed clauses  : 758
% 0.20/0.51  %    Positive orientable unit clauses  : 533
% 0.20/0.51  %    Positive unorientable unit clauses: 0
% 0.20/0.51  %    Negative unit clauses             : 10
% 0.20/0.51  %    Non-unit-clauses                  : 215
% 0.20/0.51  % Current number of unprocessed clauses: 3
% 0.20/0.51  % ...number of literals in the above   : 12
% 0.20/0.51  % Current number of archived formulas  : 0
% 0.20/0.51  % Current number of archived clauses   : 723
% 0.20/0.51  % Clause-clause subsumption calls (NU) : 1847
% 0.20/0.51  % Rec. Clause-clause subsumption calls : 1006
% 0.20/0.51  % Non-unit clause-clause subsumptions  : 51
% 0.20/0.51  % Unit Clause-clause subsumption calls : 7786
% 0.20/0.51  % Rewrite failures with RHS unbound    : 0
% 0.20/0.51  % BW rewrite match attempts            : 155
% 0.20/0.51  % BW rewrite match successes           : 155
% 0.20/0.51  % Condensation attempts                : 0
% 0.20/0.51  % Condensation successes               : 0
% 0.20/0.51  % Termbank termtop insertions          : 15117
% 0.20/0.51  % Search garbage collected termcells   : 12
% 0.20/0.51  
% 0.20/0.51  % -------------------------------------------------
% 0.20/0.51  % User time                : 0.037 s
% 0.20/0.51  % System time              : 0.004 s
% 0.20/0.51  % Total time               : 0.041 s
% 0.20/0.51  % Maximum resident set size: 4148 pages
% 0.20/0.51  
% 0.20/0.51  % -------------------------------------------------
% 0.20/0.51  % User time                : 0.100 s
% 0.20/0.51  % System time              : 0.023 s
% 0.20/0.51  % Total time               : 0.123 s
% 0.20/0.51  % Maximum resident set size: 4864 pages
% 0.20/0.51  % E exiting
%------------------------------------------------------------------------------