Vampire---5.0.1.UNS-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV570-1.046 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 : Tue Sep 29 01:18:59 PM UTC 2026

% Result   : Unsatisfiable 5.56s 1.62s
% Output   : Refutation 6.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   61
%            Number of leaves      :  246
% Syntax   : Number of formulae    :  694 ( 694 unt;   0 def)
%            Number of atoms       :  694 ( 693 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   26 (  26   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  294 ( 294 usr; 286 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] : rselect_head(rstore_head(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_head) ).

fof(f5,axiom,
    ! [X0,X1] : rselect_tail(rstore_tail(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_tail) ).

fof(f9,axiom,
    ! [X0,X1] : rselect_head(rstore_tail(X0,X1)) = rselect_head(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_head_tail) ).

fof(f10,axiom,
    ! [X0,X1] : rselect_head(rstore_seq(X0,X1)) = rselect_head(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_head_seq) ).

fof(f11,plain,
    ! [X0,X1] : rselect_head(X0) = rselect_head(rstore_seq(X0,X1)),
    inference(reorient_equations,[],[f10]) ).

fof(f13,axiom,
    ! [X0,X1] : rselect_tail(rstore_head(X0,X1)) = rselect_tail(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_tail_head) ).

fof(f14,plain,
    ! [X0,X1] : rselect_tail(X0) = rselect_tail(rstore_head(X0,X1)),
    inference(reorient_equations,[],[f13]) ).

fof(f19,axiom,
    ! [X0] : s(s(s(X0))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circular) ).

fof(f86,axiom,
    earray_278 = rselect_seq(q46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp66) ).

fof(f113,axiom,
    elem_280 = select(earray_278,index_279),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp93) ).

fof(f114,axiom,
    elem_283 = select(earray_278,index_282),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp94) ).

fof(f115,axiom,
    index_0 = rselect_tail(q),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp95) ).

fof(f116,axiom,
    index_102 = s(index_99),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp96) ).

fof(f117,axiom,
    index_105 = rselect_tail(q24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp97) ).

fof(f118,axiom,
    index_108 = s(index_105),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp98) ).

fof(f119,axiom,
    index_111 = rselect_tail(q25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp99) ).

fof(f120,axiom,
    index_114 = s(index_111),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp100) ).

fof(f121,axiom,
    index_117 = rselect_tail(q26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp101) ).

fof(f122,axiom,
    index_12 = s(index_9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp102) ).

fof(f123,axiom,
    index_120 = s(index_117),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp103) ).

fof(f124,axiom,
    index_123 = rselect_tail(q27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp104) ).

fof(f125,axiom,
    index_126 = s(index_123),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp105) ).

fof(f126,axiom,
    index_129 = rselect_tail(q28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp106) ).

fof(f127,axiom,
    index_132 = s(index_129),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp107) ).

fof(f128,axiom,
    index_135 = rselect_tail(q2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp108) ).

fof(f129,axiom,
    index_138 = s(index_135),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp109) ).

fof(f130,axiom,
    index_141 = rselect_tail(q29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp110) ).

fof(f131,axiom,
    index_144 = s(index_141),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp111) ).

fof(f132,axiom,
    index_147 = rselect_tail(q30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp112) ).

fof(f133,axiom,
    index_15 = rselect_tail(q10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp113) ).

fof(f134,axiom,
    index_150 = s(index_147),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp114) ).

fof(f135,axiom,
    index_153 = rselect_tail(q31),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp115) ).

fof(f136,axiom,
    index_156 = s(index_153),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp116) ).

fof(f137,axiom,
    index_159 = rselect_tail(q32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp117) ).

fof(f138,axiom,
    index_162 = s(index_159),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp118) ).

fof(f139,axiom,
    index_165 = rselect_tail(q33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp119) ).

fof(f140,axiom,
    index_168 = s(index_165),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp120) ).

fof(f141,axiom,
    index_171 = rselect_tail(q34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp121) ).

fof(f142,axiom,
    index_174 = s(index_171),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp122) ).

fof(f143,axiom,
    index_177 = rselect_tail(q35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp123) ).

fof(f144,axiom,
    index_18 = s(index_15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp124) ).

fof(f145,axiom,
    index_180 = s(index_177),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp125) ).

fof(f146,axiom,
    index_183 = rselect_tail(q36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp126) ).

fof(f147,axiom,
    index_186 = s(index_183),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp127) ).

fof(f148,axiom,
    index_189 = rselect_tail(q37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp128) ).

fof(f149,axiom,
    index_192 = s(index_189),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp129) ).

fof(f150,axiom,
    index_195 = rselect_tail(q38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp130) ).

fof(f151,axiom,
    index_198 = s(index_195),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp131) ).

fof(f152,axiom,
    index_201 = rselect_tail(q3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp132) ).

fof(f153,axiom,
    index_204 = s(index_201),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp133) ).

fof(f154,axiom,
    index_207 = rselect_tail(q39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp134) ).

fof(f155,axiom,
    index_21 = rselect_tail(q11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp135) ).

fof(f156,axiom,
    index_210 = s(index_207),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp136) ).

fof(f157,axiom,
    index_213 = rselect_tail(q40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp137) ).

fof(f158,axiom,
    index_216 = s(index_213),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp138) ).

fof(f159,axiom,
    index_219 = rselect_tail(q41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp139) ).

fof(f160,axiom,
    index_222 = s(index_219),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp140) ).

fof(f161,axiom,
    index_225 = rselect_tail(q42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp141) ).

fof(f162,axiom,
    index_228 = s(index_225),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp142) ).

fof(f163,axiom,
    index_231 = rselect_tail(q43),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp143) ).

fof(f164,axiom,
    index_234 = s(index_231),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp144) ).

fof(f165,axiom,
    index_237 = rselect_tail(q44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp145) ).

fof(f166,axiom,
    index_24 = s(index_21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp146) ).

fof(f167,axiom,
    index_240 = s(index_237),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp147) ).

fof(f168,axiom,
    index_243 = rselect_tail(q45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp148) ).

fof(f169,axiom,
    index_246 = s(index_243),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp149) ).

fof(f170,axiom,
    index_249 = rselect_tail(q4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp150) ).

fof(f171,axiom,
    index_252 = s(index_249),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp151) ).

fof(f172,axiom,
    index_255 = rselect_tail(q5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp152) ).

fof(f173,axiom,
    index_258 = s(index_255),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp153) ).

fof(f174,axiom,
    index_261 = rselect_tail(q6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp154) ).

fof(f175,axiom,
    index_264 = s(index_261),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp155) ).

fof(f176,axiom,
    index_267 = rselect_tail(q7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp156) ).

fof(f177,axiom,
    index_27 = rselect_tail(q12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp157) ).

fof(f178,axiom,
    index_270 = s(index_267),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp158) ).

fof(f179,axiom,
    index_273 = rselect_tail(q8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp159) ).

fof(f180,axiom,
    index_276 = s(index_273),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp160) ).

fof(f181,axiom,
    index_279 = rselect_head(q46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp161) ).

fof(f182,axiom,
    index_281 = rselect_tail(q46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp162) ).

fof(f183,axiom,
    s(index_282) = index_281,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp163) ).

fof(f184,plain,
    index_281 = s(index_282),
    inference(reorient_equations,[],[f183]) ).

fof(f185,axiom,
    index_3 = rselect_tail(q0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp164) ).

fof(f186,axiom,
    index_30 = s(index_27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp165) ).

fof(f187,axiom,
    index_33 = rselect_tail(q13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp166) ).

fof(f188,axiom,
    index_36 = s(index_33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp167) ).

fof(f189,axiom,
    index_39 = rselect_tail(q14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp168) ).

fof(f190,axiom,
    index_42 = s(index_39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp169) ).

fof(f191,axiom,
    index_45 = rselect_tail(q15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp170) ).

fof(f192,axiom,
    index_48 = s(index_45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp171) ).

fof(f193,axiom,
    index_51 = rselect_tail(q16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp172) ).

fof(f194,axiom,
    index_54 = s(index_51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp173) ).

fof(f195,axiom,
    index_57 = rselect_tail(q17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp174) ).

fof(f196,axiom,
    index_6 = s(index_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp175) ).

fof(f197,axiom,
    index_60 = s(index_57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp176) ).

fof(f198,axiom,
    index_63 = rselect_tail(q18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp177) ).

fof(f199,axiom,
    index_66 = s(index_63),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp178) ).

fof(f200,axiom,
    index_69 = rselect_tail(q1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp179) ).

fof(f201,axiom,
    index_72 = s(index_69),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp180) ).

fof(f202,axiom,
    index_75 = rselect_tail(q19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp181) ).

fof(f203,axiom,
    index_78 = s(index_75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp182) ).

fof(f204,axiom,
    index_81 = rselect_tail(q20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp183) ).

fof(f205,axiom,
    index_84 = s(index_81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp184) ).

fof(f206,axiom,
    index_87 = rselect_tail(q21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp185) ).

fof(f207,axiom,
    index_9 = rselect_tail(q9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp186) ).

fof(f208,axiom,
    index_90 = s(index_87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp187) ).

fof(f209,axiom,
    index_93 = rselect_tail(q22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp188) ).

fof(f210,axiom,
    index_96 = s(index_93),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp189) ).

fof(f211,axiom,
    index_99 = rselect_tail(q23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp190) ).

fof(f212,axiom,
    queue_1 = rstore_head(q,index_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp191) ).

fof(f213,axiom,
    queue_101 = rstore_seq(q23,earray_100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp192) ).

fof(f214,axiom,
    queue_103 = rstore_tail(queue_101,index_102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp193) ).

fof(f215,axiom,
    queue_107 = rstore_seq(q24,earray_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp194) ).

fof(f216,axiom,
    queue_109 = rstore_tail(queue_107,index_108),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp195) ).

fof(f217,axiom,
    queue_11 = rstore_seq(q9,earray_10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp196) ).

fof(f218,axiom,
    queue_113 = rstore_seq(q25,earray_112),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp197) ).

fof(f219,axiom,
    queue_115 = rstore_tail(queue_113,index_114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp198) ).

fof(f220,axiom,
    queue_119 = rstore_seq(q26,earray_118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp199) ).

fof(f221,axiom,
    queue_121 = rstore_tail(queue_119,index_120),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp200) ).

fof(f222,axiom,
    queue_125 = rstore_seq(q27,earray_124),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp201) ).

fof(f223,axiom,
    queue_127 = rstore_tail(queue_125,index_126),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp202) ).

fof(f224,axiom,
    queue_13 = rstore_tail(queue_11,index_12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp203) ).

fof(f225,axiom,
    queue_131 = rstore_seq(q28,earray_130),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp204) ).

fof(f226,axiom,
    queue_133 = rstore_tail(queue_131,index_132),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp205) ).

fof(f227,axiom,
    queue_137 = rstore_seq(q2,earray_136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp206) ).

fof(f228,axiom,
    queue_139 = rstore_tail(queue_137,index_138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp207) ).

fof(f229,axiom,
    queue_143 = rstore_seq(q29,earray_142),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp208) ).

fof(f230,axiom,
    queue_145 = rstore_tail(queue_143,index_144),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp209) ).

fof(f231,axiom,
    queue_149 = rstore_seq(q30,earray_148),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp210) ).

fof(f232,axiom,
    queue_151 = rstore_tail(queue_149,index_150),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp211) ).

fof(f233,axiom,
    queue_155 = rstore_seq(q31,earray_154),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp212) ).

fof(f234,axiom,
    queue_157 = rstore_tail(queue_155,index_156),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp213) ).

fof(f235,axiom,
    queue_161 = rstore_seq(q32,earray_160),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp214) ).

fof(f236,axiom,
    queue_163 = rstore_tail(queue_161,index_162),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp215) ).

fof(f237,axiom,
    queue_167 = rstore_seq(q33,earray_166),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp216) ).

fof(f238,axiom,
    queue_169 = rstore_tail(queue_167,index_168),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp217) ).

fof(f239,axiom,
    queue_17 = rstore_seq(q10,earray_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp218) ).

fof(f240,axiom,
    queue_173 = rstore_seq(q34,earray_172),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp219) ).

fof(f241,axiom,
    queue_175 = rstore_tail(queue_173,index_174),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp220) ).

fof(f242,axiom,
    queue_179 = rstore_seq(q35,earray_178),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp221) ).

fof(f243,axiom,
    queue_181 = rstore_tail(queue_179,index_180),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp222) ).

fof(f244,axiom,
    queue_185 = rstore_seq(q36,earray_184),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp223) ).

fof(f245,axiom,
    queue_187 = rstore_tail(queue_185,index_186),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp224) ).

fof(f246,axiom,
    queue_19 = rstore_tail(queue_17,index_18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp225) ).

fof(f247,axiom,
    queue_191 = rstore_seq(q37,earray_190),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp226) ).

fof(f248,axiom,
    queue_193 = rstore_tail(queue_191,index_192),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp227) ).

fof(f249,axiom,
    queue_197 = rstore_seq(q38,earray_196),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp228) ).

fof(f250,axiom,
    queue_199 = rstore_tail(queue_197,index_198),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp229) ).

fof(f251,axiom,
    queue_203 = rstore_seq(q3,earray_202),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp230) ).

fof(f252,axiom,
    queue_205 = rstore_tail(queue_203,index_204),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp231) ).

fof(f253,axiom,
    queue_209 = rstore_seq(q39,earray_208),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp232) ).

fof(f254,axiom,
    queue_211 = rstore_tail(queue_209,index_210),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp233) ).

fof(f255,axiom,
    queue_215 = rstore_seq(q40,earray_214),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp234) ).

fof(f256,axiom,
    queue_217 = rstore_tail(queue_215,index_216),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp235) ).

fof(f257,axiom,
    queue_221 = rstore_seq(q41,earray_220),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp236) ).

fof(f258,axiom,
    queue_223 = rstore_tail(queue_221,index_222),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp237) ).

fof(f259,axiom,
    queue_227 = rstore_seq(q42,earray_226),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp238) ).

fof(f260,axiom,
    queue_229 = rstore_tail(queue_227,index_228),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp239) ).

fof(f261,axiom,
    queue_23 = rstore_seq(q11,earray_22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp240) ).

fof(f262,axiom,
    queue_233 = rstore_seq(q43,earray_232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp241) ).

fof(f263,axiom,
    queue_235 = rstore_tail(queue_233,index_234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp242) ).

fof(f264,axiom,
    queue_239 = rstore_seq(q44,earray_238),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp243) ).

fof(f265,axiom,
    queue_241 = rstore_tail(queue_239,index_240),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp244) ).

fof(f266,axiom,
    queue_245 = rstore_seq(q45,earray_244),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp245) ).

fof(f267,axiom,
    queue_247 = rstore_tail(queue_245,index_246),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp246) ).

fof(f268,axiom,
    queue_25 = rstore_tail(queue_23,index_24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp247) ).

fof(f269,axiom,
    queue_251 = rstore_seq(q4,earray_250),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp248) ).

fof(f270,axiom,
    queue_253 = rstore_tail(queue_251,index_252),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp249) ).

fof(f271,axiom,
    queue_257 = rstore_seq(q5,earray_256),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp250) ).

fof(f272,axiom,
    queue_259 = rstore_tail(queue_257,index_258),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp251) ).

fof(f273,axiom,
    queue_263 = rstore_seq(q6,earray_262),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp252) ).

fof(f274,axiom,
    queue_265 = rstore_tail(queue_263,index_264),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp253) ).

fof(f275,axiom,
    queue_269 = rstore_seq(q7,earray_268),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp254) ).

fof(f276,axiom,
    queue_271 = rstore_tail(queue_269,index_270),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp255) ).

fof(f277,axiom,
    queue_275 = rstore_seq(q8,earray_274),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp256) ).

fof(f278,axiom,
    queue_277 = rstore_tail(queue_275,index_276),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp257) ).

fof(f279,axiom,
    queue_29 = rstore_seq(q12,earray_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp258) ).

fof(f280,axiom,
    queue_31 = rstore_tail(queue_29,index_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp259) ).

fof(f281,axiom,
    queue_35 = rstore_seq(q13,earray_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp260) ).

fof(f282,axiom,
    queue_37 = rstore_tail(queue_35,index_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp261) ).

fof(f283,axiom,
    queue_41 = rstore_seq(q14,earray_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp262) ).

fof(f284,axiom,
    queue_43 = rstore_tail(queue_41,index_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp263) ).

fof(f285,axiom,
    queue_47 = rstore_seq(q15,earray_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp264) ).

fof(f286,axiom,
    queue_49 = rstore_tail(queue_47,index_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp265) ).

fof(f287,axiom,
    queue_5 = rstore_seq(q0,earray_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp266) ).

fof(f288,axiom,
    queue_53 = rstore_seq(q16,earray_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp267) ).

fof(f289,axiom,
    queue_55 = rstore_tail(queue_53,index_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp268) ).

fof(f290,axiom,
    queue_59 = rstore_seq(q17,earray_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp269) ).

fof(f291,axiom,
    queue_61 = rstore_tail(queue_59,index_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp270) ).

fof(f292,axiom,
    queue_65 = rstore_seq(q18,earray_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp271) ).

fof(f293,axiom,
    queue_67 = rstore_tail(queue_65,index_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp272) ).

fof(f294,axiom,
    queue_7 = rstore_tail(queue_5,index_6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp273) ).

fof(f295,axiom,
    queue_71 = rstore_seq(q1,earray_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp274) ).

fof(f296,axiom,
    queue_73 = rstore_tail(queue_71,index_72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp275) ).

fof(f297,axiom,
    queue_77 = rstore_seq(q19,earray_76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp276) ).

fof(f298,axiom,
    queue_79 = rstore_tail(queue_77,index_78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp277) ).

fof(f299,axiom,
    queue_83 = rstore_seq(q20,earray_82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp278) ).

fof(f300,axiom,
    queue_85 = rstore_tail(queue_83,index_84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp279) ).

fof(f301,axiom,
    queue_89 = rstore_seq(q21,earray_88),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp280) ).

fof(f302,axiom,
    queue_91 = rstore_tail(queue_89,index_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp281) ).

fof(f303,axiom,
    queue_95 = rstore_seq(q22,earray_94),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp282) ).

fof(f304,axiom,
    queue_97 = rstore_tail(queue_95,index_96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp283) ).

fof(f305,axiom,
    q0 = queue_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp284) ).

fof(f306,axiom,
    q1 = queue_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp285) ).

fof(f307,axiom,
    q10 = queue_13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp286) ).

fof(f308,axiom,
    q11 = queue_19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp287) ).

fof(f309,axiom,
    q12 = queue_25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp288) ).

fof(f310,axiom,
    q13 = queue_31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp289) ).

fof(f311,axiom,
    q14 = queue_37,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp290) ).

fof(f312,axiom,
    q15 = queue_43,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp291) ).

fof(f313,axiom,
    q16 = queue_49,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp292) ).

fof(f314,axiom,
    q17 = queue_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp293) ).

fof(f315,axiom,
    q18 = queue_61,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp294) ).

fof(f316,axiom,
    q19 = queue_67,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp295) ).

fof(f317,axiom,
    q2 = queue_73,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp296) ).

fof(f318,axiom,
    q20 = queue_79,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp297) ).

fof(f319,axiom,
    q21 = queue_85,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp298) ).

fof(f320,axiom,
    q22 = queue_91,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp299) ).

fof(f321,axiom,
    q23 = queue_97,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp300) ).

fof(f322,axiom,
    q24 = queue_103,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp301) ).

fof(f323,axiom,
    q25 = queue_109,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp302) ).

fof(f324,axiom,
    q26 = queue_115,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp303) ).

fof(f325,axiom,
    q27 = queue_121,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp304) ).

fof(f326,axiom,
    q28 = queue_127,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp305) ).

fof(f327,axiom,
    q29 = queue_133,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp306) ).

fof(f328,axiom,
    q3 = queue_139,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp307) ).

fof(f329,axiom,
    q30 = queue_145,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp308) ).

fof(f330,axiom,
    q31 = queue_151,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp309) ).

fof(f331,axiom,
    q32 = queue_157,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp310) ).

fof(f332,axiom,
    q33 = queue_163,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp311) ).

fof(f333,axiom,
    q34 = queue_169,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp312) ).

fof(f334,axiom,
    q35 = queue_175,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp313) ).

fof(f335,axiom,
    q36 = queue_181,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp314) ).

fof(f336,axiom,
    q37 = queue_187,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp315) ).

fof(f337,axiom,
    q38 = queue_193,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp316) ).

fof(f338,axiom,
    q39 = queue_199,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp317) ).

fof(f339,axiom,
    q4 = queue_205,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp318) ).

fof(f340,axiom,
    q40 = queue_211,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp319) ).

fof(f341,axiom,
    q41 = queue_217,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp320) ).

fof(f342,axiom,
    q42 = queue_223,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp321) ).

fof(f343,axiom,
    q43 = queue_229,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp322) ).

fof(f344,axiom,
    q44 = queue_235,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp323) ).

fof(f345,axiom,
    q45 = queue_241,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp324) ).

fof(f346,axiom,
    q46 = queue_247,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp325) ).

fof(f347,axiom,
    q5 = queue_253,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp326) ).

fof(f348,axiom,
    q6 = queue_259,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp327) ).

fof(f349,axiom,
    q7 = queue_265,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp328) ).

fof(f350,axiom,
    q8 = queue_271,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp329) ).

fof(f351,axiom,
    q9 = queue_277,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp330) ).

fof(f352,negated_conjecture,
    elem_280 != elem_283,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f353,plain,
    q23 = rstore_tail(queue_95,index_96),
    inference(forward_demodulation,[],[f304,f321]) ).

fof(f354,plain,
    q22 = rstore_tail(queue_89,index_90),
    inference(forward_demodulation,[],[f302,f320]) ).

fof(f355,plain,
    q21 = rstore_tail(queue_83,index_84),
    inference(forward_demodulation,[],[f300,f319]) ).

fof(f356,plain,
    q20 = rstore_tail(queue_77,index_78),
    inference(forward_demodulation,[],[f298,f318]) ).

fof(f357,plain,
    q2 = rstore_tail(queue_71,index_72),
    inference(forward_demodulation,[],[f296,f317]) ).

fof(f358,plain,
    q1 = rstore_tail(queue_5,index_6),
    inference(forward_demodulation,[],[f294,f306]) ).

fof(f359,plain,
    q19 = rstore_tail(queue_65,index_66),
    inference(forward_demodulation,[],[f293,f316]) ).

fof(f360,plain,
    q18 = rstore_tail(queue_59,index_60),
    inference(forward_demodulation,[],[f291,f315]) ).

fof(f361,plain,
    q17 = rstore_tail(queue_53,index_54),
    inference(forward_demodulation,[],[f289,f314]) ).

fof(f362,plain,
    q16 = rstore_tail(queue_47,index_48),
    inference(forward_demodulation,[],[f286,f313]) ).

fof(f363,plain,
    q15 = rstore_tail(queue_41,index_42),
    inference(forward_demodulation,[],[f284,f312]) ).

fof(f364,plain,
    q14 = rstore_tail(queue_35,index_36),
    inference(forward_demodulation,[],[f282,f311]) ).

fof(f365,plain,
    q13 = rstore_tail(queue_29,index_30),
    inference(forward_demodulation,[],[f280,f310]) ).

fof(f366,plain,
    q9 = rstore_tail(queue_275,index_276),
    inference(forward_demodulation,[],[f278,f351]) ).

fof(f367,plain,
    q8 = rstore_tail(queue_269,index_270),
    inference(forward_demodulation,[],[f276,f350]) ).

fof(f368,plain,
    q7 = rstore_tail(queue_263,index_264),
    inference(forward_demodulation,[],[f274,f349]) ).

fof(f369,plain,
    q6 = rstore_tail(queue_257,index_258),
    inference(forward_demodulation,[],[f272,f348]) ).

fof(f370,plain,
    q5 = rstore_tail(queue_251,index_252),
    inference(forward_demodulation,[],[f270,f347]) ).

fof(f371,plain,
    q12 = rstore_tail(queue_23,index_24),
    inference(forward_demodulation,[],[f268,f309]) ).

fof(f372,plain,
    q46 = rstore_tail(queue_245,index_246),
    inference(forward_demodulation,[],[f267,f346]) ).

fof(f373,plain,
    q45 = rstore_tail(queue_239,index_240),
    inference(forward_demodulation,[],[f265,f345]) ).

fof(f374,plain,
    q44 = rstore_tail(queue_233,index_234),
    inference(forward_demodulation,[],[f263,f344]) ).

fof(f375,plain,
    q43 = rstore_tail(queue_227,index_228),
    inference(forward_demodulation,[],[f260,f343]) ).

fof(f376,plain,
    q42 = rstore_tail(queue_221,index_222),
    inference(forward_demodulation,[],[f258,f342]) ).

fof(f377,plain,
    q41 = rstore_tail(queue_215,index_216),
    inference(forward_demodulation,[],[f256,f341]) ).

fof(f378,plain,
    q40 = rstore_tail(queue_209,index_210),
    inference(forward_demodulation,[],[f254,f340]) ).

fof(f379,plain,
    q4 = rstore_tail(queue_203,index_204),
    inference(forward_demodulation,[],[f252,f339]) ).

fof(f380,plain,
    q39 = rstore_tail(queue_197,index_198),
    inference(forward_demodulation,[],[f250,f338]) ).

fof(f381,plain,
    q38 = rstore_tail(queue_191,index_192),
    inference(forward_demodulation,[],[f248,f337]) ).

fof(f382,plain,
    q11 = rstore_tail(queue_17,index_18),
    inference(forward_demodulation,[],[f246,f308]) ).

fof(f383,plain,
    q37 = rstore_tail(queue_185,index_186),
    inference(forward_demodulation,[],[f245,f336]) ).

fof(f384,plain,
    q36 = rstore_tail(queue_179,index_180),
    inference(forward_demodulation,[],[f243,f335]) ).

fof(f385,plain,
    q35 = rstore_tail(queue_173,index_174),
    inference(forward_demodulation,[],[f241,f334]) ).

fof(f386,plain,
    q34 = rstore_tail(queue_167,index_168),
    inference(forward_demodulation,[],[f238,f333]) ).

fof(f387,plain,
    q33 = rstore_tail(queue_161,index_162),
    inference(forward_demodulation,[],[f236,f332]) ).

fof(f388,plain,
    q32 = rstore_tail(queue_155,index_156),
    inference(forward_demodulation,[],[f234,f331]) ).

fof(f389,plain,
    q31 = rstore_tail(queue_149,index_150),
    inference(forward_demodulation,[],[f232,f330]) ).

fof(f390,plain,
    q30 = rstore_tail(queue_143,index_144),
    inference(forward_demodulation,[],[f230,f329]) ).

fof(f391,plain,
    q3 = rstore_tail(queue_137,index_138),
    inference(forward_demodulation,[],[f228,f328]) ).

fof(f392,plain,
    q29 = rstore_tail(queue_131,index_132),
    inference(forward_demodulation,[],[f226,f327]) ).

fof(f393,plain,
    q10 = rstore_tail(queue_11,index_12),
    inference(forward_demodulation,[],[f224,f307]) ).

fof(f394,plain,
    q28 = rstore_tail(queue_125,index_126),
    inference(forward_demodulation,[],[f223,f326]) ).

fof(f395,plain,
    q27 = rstore_tail(queue_119,index_120),
    inference(forward_demodulation,[],[f221,f325]) ).

fof(f396,plain,
    q26 = rstore_tail(queue_113,index_114),
    inference(forward_demodulation,[],[f219,f324]) ).

fof(f397,plain,
    q25 = rstore_tail(queue_107,index_108),
    inference(forward_demodulation,[],[f216,f323]) ).

fof(f398,plain,
    q24 = rstore_tail(queue_101,index_102),
    inference(forward_demodulation,[],[f214,f322]) ).

fof(f399,plain,
    q0 = rstore_head(q,index_0),
    inference(forward_demodulation,[],[f212,f305]) ).

fof(f400,plain,
    index_12 = s(rselect_tail(q9)),
    inference(forward_demodulation,[],[f122,f207]) ).

fof(f401,plain,
    index_102 = s(rselect_tail(q23)),
    inference(forward_demodulation,[],[f116,f211]) ).

fof(f402,plain,
    elem_280 = select(earray_278,rselect_head(q46)),
    inference(forward_demodulation,[],[f113,f181]) ).

fof(f449,plain,
    q23 = rstore_tail(queue_95,s(index_93)),
    inference(forward_demodulation,[],[f353,f210]) ).

fof(f450,plain,
    q22 = rstore_tail(queue_89,s(index_87)),
    inference(forward_demodulation,[],[f354,f208]) ).

fof(f451,plain,
    q21 = rstore_tail(queue_83,s(index_81)),
    inference(forward_demodulation,[],[f355,f205]) ).

fof(f452,plain,
    q20 = rstore_tail(queue_77,s(index_75)),
    inference(forward_demodulation,[],[f356,f203]) ).

fof(f453,plain,
    q2 = rstore_tail(queue_71,s(index_69)),
    inference(forward_demodulation,[],[f357,f201]) ).

fof(f454,plain,
    q1 = rstore_tail(queue_5,s(index_3)),
    inference(forward_demodulation,[],[f358,f196]) ).

fof(f455,plain,
    q19 = rstore_tail(queue_65,s(index_63)),
    inference(forward_demodulation,[],[f359,f199]) ).

fof(f456,plain,
    q18 = rstore_tail(queue_59,s(index_57)),
    inference(forward_demodulation,[],[f360,f197]) ).

fof(f457,plain,
    q17 = rstore_tail(queue_53,s(index_51)),
    inference(forward_demodulation,[],[f361,f194]) ).

fof(f458,plain,
    q16 = rstore_tail(queue_47,s(index_45)),
    inference(forward_demodulation,[],[f362,f192]) ).

fof(f459,plain,
    q15 = rstore_tail(queue_41,s(index_39)),
    inference(forward_demodulation,[],[f363,f190]) ).

fof(f460,plain,
    q14 = rstore_tail(queue_35,s(index_33)),
    inference(forward_demodulation,[],[f364,f188]) ).

fof(f461,plain,
    q13 = rstore_tail(queue_29,s(index_27)),
    inference(forward_demodulation,[],[f365,f186]) ).

fof(f462,plain,
    q9 = rstore_tail(queue_275,s(index_273)),
    inference(forward_demodulation,[],[f366,f180]) ).

fof(f463,plain,
    q8 = rstore_tail(queue_269,s(index_267)),
    inference(forward_demodulation,[],[f367,f178]) ).

fof(f464,plain,
    q7 = rstore_tail(queue_263,s(index_261)),
    inference(forward_demodulation,[],[f368,f175]) ).

fof(f465,plain,
    q6 = rstore_tail(queue_257,s(index_255)),
    inference(forward_demodulation,[],[f369,f173]) ).

fof(f466,plain,
    q5 = rstore_tail(queue_251,s(index_249)),
    inference(forward_demodulation,[],[f370,f171]) ).

fof(f467,plain,
    q12 = rstore_tail(queue_23,s(index_21)),
    inference(forward_demodulation,[],[f371,f166]) ).

fof(f468,plain,
    q46 = rstore_tail(queue_245,s(index_243)),
    inference(forward_demodulation,[],[f372,f169]) ).

fof(f469,plain,
    q45 = rstore_tail(queue_239,s(index_237)),
    inference(forward_demodulation,[],[f373,f167]) ).

fof(f470,plain,
    q44 = rstore_tail(queue_233,s(index_231)),
    inference(forward_demodulation,[],[f374,f164]) ).

fof(f471,plain,
    q43 = rstore_tail(queue_227,s(index_225)),
    inference(forward_demodulation,[],[f375,f162]) ).

fof(f472,plain,
    q42 = rstore_tail(queue_221,s(index_219)),
    inference(forward_demodulation,[],[f376,f160]) ).

fof(f473,plain,
    q41 = rstore_tail(queue_215,s(index_213)),
    inference(forward_demodulation,[],[f377,f158]) ).

fof(f474,plain,
    q40 = rstore_tail(queue_209,s(index_207)),
    inference(forward_demodulation,[],[f378,f156]) ).

fof(f475,plain,
    q4 = rstore_tail(queue_203,s(index_201)),
    inference(forward_demodulation,[],[f379,f153]) ).

fof(f476,plain,
    q39 = rstore_tail(queue_197,s(index_195)),
    inference(forward_demodulation,[],[f380,f151]) ).

fof(f477,plain,
    q38 = rstore_tail(queue_191,s(index_189)),
    inference(forward_demodulation,[],[f381,f149]) ).

fof(f478,plain,
    q11 = rstore_tail(queue_17,s(index_15)),
    inference(forward_demodulation,[],[f382,f144]) ).

fof(f479,plain,
    q37 = rstore_tail(queue_185,s(index_183)),
    inference(forward_demodulation,[],[f383,f147]) ).

fof(f480,plain,
    q36 = rstore_tail(queue_179,s(index_177)),
    inference(forward_demodulation,[],[f384,f145]) ).

fof(f481,plain,
    q35 = rstore_tail(queue_173,s(index_171)),
    inference(forward_demodulation,[],[f385,f142]) ).

fof(f482,plain,
    q34 = rstore_tail(queue_167,s(index_165)),
    inference(forward_demodulation,[],[f386,f140]) ).

fof(f483,plain,
    q33 = rstore_tail(queue_161,s(index_159)),
    inference(forward_demodulation,[],[f387,f138]) ).

fof(f484,plain,
    q32 = rstore_tail(queue_155,s(index_153)),
    inference(forward_demodulation,[],[f388,f136]) ).

fof(f485,plain,
    q31 = rstore_tail(queue_149,s(index_147)),
    inference(forward_demodulation,[],[f389,f134]) ).

fof(f486,plain,
    q30 = rstore_tail(queue_143,s(index_141)),
    inference(forward_demodulation,[],[f390,f131]) ).

fof(f487,plain,
    q3 = rstore_tail(queue_137,s(index_135)),
    inference(forward_demodulation,[],[f391,f129]) ).

fof(f488,plain,
    q29 = rstore_tail(queue_131,s(index_129)),
    inference(forward_demodulation,[],[f392,f127]) ).

fof(f489,plain,
    q10 = rstore_tail(rstore_seq(q9,earray_10),index_12),
    inference(forward_demodulation,[],[f393,f217]) ).

fof(f490,plain,
    q28 = rstore_tail(queue_125,s(index_123)),
    inference(forward_demodulation,[],[f394,f125]) ).

fof(f491,plain,
    q27 = rstore_tail(queue_119,s(index_117)),
    inference(forward_demodulation,[],[f395,f123]) ).

fof(f492,plain,
    q26 = rstore_tail(queue_113,s(index_111)),
    inference(forward_demodulation,[],[f396,f120]) ).

fof(f493,plain,
    q25 = rstore_tail(queue_107,s(index_105)),
    inference(forward_demodulation,[],[f397,f118]) ).

fof(f494,plain,
    q24 = rstore_tail(rstore_seq(q23,earray_100),index_102),
    inference(forward_demodulation,[],[f398,f213]) ).

fof(f495,plain,
    elem_280 = select(rselect_seq(q46),rselect_head(q46)),
    inference(forward_demodulation,[],[f402,f86]) ).

fof(f542,plain,
    q23 = rstore_tail(queue_95,s(rselect_tail(q22))),
    inference(forward_demodulation,[],[f449,f209]) ).

fof(f543,plain,
    q22 = rstore_tail(queue_89,s(rselect_tail(q21))),
    inference(forward_demodulation,[],[f450,f206]) ).

fof(f544,plain,
    q21 = rstore_tail(queue_83,s(rselect_tail(q20))),
    inference(forward_demodulation,[],[f451,f204]) ).

fof(f545,plain,
    q20 = rstore_tail(queue_77,s(rselect_tail(q19))),
    inference(forward_demodulation,[],[f452,f202]) ).

fof(f546,plain,
    q2 = rstore_tail(queue_71,s(rselect_tail(q1))),
    inference(forward_demodulation,[],[f453,f200]) ).

fof(f547,plain,
    q1 = rstore_tail(queue_5,s(rselect_tail(q0))),
    inference(forward_demodulation,[],[f454,f185]) ).

fof(f548,plain,
    q19 = rstore_tail(queue_65,s(rselect_tail(q18))),
    inference(forward_demodulation,[],[f455,f198]) ).

fof(f549,plain,
    q18 = rstore_tail(queue_59,s(rselect_tail(q17))),
    inference(forward_demodulation,[],[f456,f195]) ).

fof(f550,plain,
    q17 = rstore_tail(queue_53,s(rselect_tail(q16))),
    inference(forward_demodulation,[],[f457,f193]) ).

fof(f551,plain,
    q16 = rstore_tail(queue_47,s(rselect_tail(q15))),
    inference(forward_demodulation,[],[f458,f191]) ).

fof(f552,plain,
    q15 = rstore_tail(queue_41,s(rselect_tail(q14))),
    inference(forward_demodulation,[],[f459,f189]) ).

fof(f553,plain,
    q14 = rstore_tail(queue_35,s(rselect_tail(q13))),
    inference(forward_demodulation,[],[f460,f187]) ).

fof(f554,plain,
    q13 = rstore_tail(queue_29,s(rselect_tail(q12))),
    inference(forward_demodulation,[],[f461,f177]) ).

fof(f555,plain,
    q9 = rstore_tail(queue_275,s(rselect_tail(q8))),
    inference(forward_demodulation,[],[f462,f179]) ).

fof(f556,plain,
    q8 = rstore_tail(queue_269,s(rselect_tail(q7))),
    inference(forward_demodulation,[],[f463,f176]) ).

fof(f557,plain,
    q7 = rstore_tail(queue_263,s(rselect_tail(q6))),
    inference(forward_demodulation,[],[f464,f174]) ).

fof(f558,plain,
    q6 = rstore_tail(queue_257,s(rselect_tail(q5))),
    inference(forward_demodulation,[],[f465,f172]) ).

fof(f559,plain,
    q5 = rstore_tail(queue_251,s(rselect_tail(q4))),
    inference(forward_demodulation,[],[f466,f170]) ).

fof(f560,plain,
    q12 = rstore_tail(queue_23,s(rselect_tail(q11))),
    inference(forward_demodulation,[],[f467,f155]) ).

fof(f561,plain,
    q46 = rstore_tail(queue_245,s(rselect_tail(q45))),
    inference(forward_demodulation,[],[f468,f168]) ).

fof(f562,plain,
    q45 = rstore_tail(queue_239,s(rselect_tail(q44))),
    inference(forward_demodulation,[],[f469,f165]) ).

fof(f563,plain,
    q44 = rstore_tail(queue_233,s(rselect_tail(q43))),
    inference(forward_demodulation,[],[f470,f163]) ).

fof(f564,plain,
    q43 = rstore_tail(queue_227,s(rselect_tail(q42))),
    inference(forward_demodulation,[],[f471,f161]) ).

fof(f565,plain,
    q42 = rstore_tail(queue_221,s(rselect_tail(q41))),
    inference(forward_demodulation,[],[f472,f159]) ).

fof(f566,plain,
    q41 = rstore_tail(queue_215,s(rselect_tail(q40))),
    inference(forward_demodulation,[],[f473,f157]) ).

fof(f567,plain,
    q40 = rstore_tail(queue_209,s(rselect_tail(q39))),
    inference(forward_demodulation,[],[f474,f154]) ).

fof(f568,plain,
    q4 = rstore_tail(queue_203,s(rselect_tail(q3))),
    inference(forward_demodulation,[],[f475,f152]) ).

fof(f569,plain,
    q39 = rstore_tail(queue_197,s(rselect_tail(q38))),
    inference(forward_demodulation,[],[f476,f150]) ).

fof(f570,plain,
    q38 = rstore_tail(queue_191,s(rselect_tail(q37))),
    inference(forward_demodulation,[],[f477,f148]) ).

fof(f571,plain,
    q11 = rstore_tail(queue_17,s(rselect_tail(q10))),
    inference(forward_demodulation,[],[f478,f133]) ).

fof(f572,plain,
    q37 = rstore_tail(queue_185,s(rselect_tail(q36))),
    inference(forward_demodulation,[],[f479,f146]) ).

fof(f573,plain,
    q36 = rstore_tail(queue_179,s(rselect_tail(q35))),
    inference(forward_demodulation,[],[f480,f143]) ).

fof(f574,plain,
    q35 = rstore_tail(queue_173,s(rselect_tail(q34))),
    inference(forward_demodulation,[],[f481,f141]) ).

fof(f575,plain,
    q34 = rstore_tail(queue_167,s(rselect_tail(q33))),
    inference(forward_demodulation,[],[f482,f139]) ).

fof(f576,plain,
    q33 = rstore_tail(queue_161,s(rselect_tail(q32))),
    inference(forward_demodulation,[],[f483,f137]) ).

fof(f577,plain,
    q32 = rstore_tail(queue_155,s(rselect_tail(q31))),
    inference(forward_demodulation,[],[f484,f135]) ).

fof(f578,plain,
    q31 = rstore_tail(queue_149,s(rselect_tail(q30))),
    inference(forward_demodulation,[],[f485,f132]) ).

fof(f579,plain,
    q30 = rstore_tail(queue_143,s(rselect_tail(q29))),
    inference(forward_demodulation,[],[f486,f130]) ).

fof(f580,plain,
    q3 = rstore_tail(queue_137,s(rselect_tail(q2))),
    inference(forward_demodulation,[],[f487,f128]) ).

fof(f581,plain,
    q29 = rstore_tail(queue_131,s(rselect_tail(q28))),
    inference(forward_demodulation,[],[f488,f126]) ).

fof(f582,plain,
    q10 = rstore_tail(rstore_seq(q9,earray_10),s(rselect_tail(q9))),
    inference(forward_demodulation,[],[f489,f400]) ).

fof(f583,plain,
    q28 = rstore_tail(queue_125,s(rselect_tail(q27))),
    inference(forward_demodulation,[],[f490,f124]) ).

fof(f584,plain,
    q27 = rstore_tail(queue_119,s(rselect_tail(q26))),
    inference(forward_demodulation,[],[f491,f121]) ).

fof(f585,plain,
    q26 = rstore_tail(queue_113,s(rselect_tail(q25))),
    inference(forward_demodulation,[],[f492,f119]) ).

fof(f586,plain,
    q25 = rstore_tail(queue_107,s(rselect_tail(q24))),
    inference(forward_demodulation,[],[f493,f117]) ).

fof(f587,plain,
    q24 = rstore_tail(rstore_seq(q23,earray_100),s(rselect_tail(q23))),
    inference(forward_demodulation,[],[f494,f401]) ).

fof(f588,plain,
    q23 = rstore_tail(rstore_seq(q22,earray_94),s(rselect_tail(q22))),
    inference(forward_demodulation,[],[f542,f303]) ).

fof(f589,plain,
    q22 = rstore_tail(rstore_seq(q21,earray_88),s(rselect_tail(q21))),
    inference(forward_demodulation,[],[f543,f301]) ).

fof(f590,plain,
    q21 = rstore_tail(rstore_seq(q20,earray_82),s(rselect_tail(q20))),
    inference(forward_demodulation,[],[f544,f299]) ).

fof(f591,plain,
    q20 = rstore_tail(rstore_seq(q19,earray_76),s(rselect_tail(q19))),
    inference(forward_demodulation,[],[f545,f297]) ).

fof(f592,plain,
    q2 = rstore_tail(rstore_seq(q1,earray_70),s(rselect_tail(q1))),
    inference(forward_demodulation,[],[f546,f295]) ).

fof(f593,plain,
    q1 = rstore_tail(rstore_seq(q0,earray_4),s(rselect_tail(q0))),
    inference(forward_demodulation,[],[f547,f287]) ).

fof(f594,plain,
    q19 = rstore_tail(rstore_seq(q18,earray_64),s(rselect_tail(q18))),
    inference(forward_demodulation,[],[f548,f292]) ).

fof(f595,plain,
    q18 = rstore_tail(rstore_seq(q17,earray_58),s(rselect_tail(q17))),
    inference(forward_demodulation,[],[f549,f290]) ).

fof(f596,plain,
    q17 = rstore_tail(rstore_seq(q16,earray_52),s(rselect_tail(q16))),
    inference(forward_demodulation,[],[f550,f288]) ).

fof(f597,plain,
    q16 = rstore_tail(rstore_seq(q15,earray_46),s(rselect_tail(q15))),
    inference(forward_demodulation,[],[f551,f285]) ).

fof(f598,plain,
    q15 = rstore_tail(rstore_seq(q14,earray_40),s(rselect_tail(q14))),
    inference(forward_demodulation,[],[f552,f283]) ).

fof(f599,plain,
    q14 = rstore_tail(rstore_seq(q13,earray_34),s(rselect_tail(q13))),
    inference(forward_demodulation,[],[f553,f281]) ).

fof(f600,plain,
    q13 = rstore_tail(rstore_seq(q12,earray_28),s(rselect_tail(q12))),
    inference(forward_demodulation,[],[f554,f279]) ).

fof(f601,plain,
    q9 = rstore_tail(rstore_seq(q8,earray_274),s(rselect_tail(q8))),
    inference(forward_demodulation,[],[f555,f277]) ).

fof(f602,plain,
    q8 = rstore_tail(rstore_seq(q7,earray_268),s(rselect_tail(q7))),
    inference(forward_demodulation,[],[f556,f275]) ).

fof(f603,plain,
    q7 = rstore_tail(rstore_seq(q6,earray_262),s(rselect_tail(q6))),
    inference(forward_demodulation,[],[f557,f273]) ).

fof(f604,plain,
    q6 = rstore_tail(rstore_seq(q5,earray_256),s(rselect_tail(q5))),
    inference(forward_demodulation,[],[f558,f271]) ).

fof(f605,plain,
    q5 = rstore_tail(rstore_seq(q4,earray_250),s(rselect_tail(q4))),
    inference(forward_demodulation,[],[f559,f269]) ).

fof(f606,plain,
    q12 = rstore_tail(rstore_seq(q11,earray_22),s(rselect_tail(q11))),
    inference(forward_demodulation,[],[f560,f261]) ).

fof(f607,plain,
    q46 = rstore_tail(rstore_seq(q45,earray_244),s(rselect_tail(q45))),
    inference(forward_demodulation,[],[f561,f266]) ).

fof(f608,plain,
    q45 = rstore_tail(rstore_seq(q44,earray_238),s(rselect_tail(q44))),
    inference(forward_demodulation,[],[f562,f264]) ).

fof(f609,plain,
    q44 = rstore_tail(rstore_seq(q43,earray_232),s(rselect_tail(q43))),
    inference(forward_demodulation,[],[f563,f262]) ).

fof(f610,plain,
    q43 = rstore_tail(rstore_seq(q42,earray_226),s(rselect_tail(q42))),
    inference(forward_demodulation,[],[f564,f259]) ).

fof(f611,plain,
    q42 = rstore_tail(rstore_seq(q41,earray_220),s(rselect_tail(q41))),
    inference(forward_demodulation,[],[f565,f257]) ).

fof(f612,plain,
    q41 = rstore_tail(rstore_seq(q40,earray_214),s(rselect_tail(q40))),
    inference(forward_demodulation,[],[f566,f255]) ).

fof(f613,plain,
    q40 = rstore_tail(rstore_seq(q39,earray_208),s(rselect_tail(q39))),
    inference(forward_demodulation,[],[f567,f253]) ).

fof(f614,plain,
    q4 = rstore_tail(rstore_seq(q3,earray_202),s(rselect_tail(q3))),
    inference(forward_demodulation,[],[f568,f251]) ).

fof(f615,plain,
    q39 = rstore_tail(rstore_seq(q38,earray_196),s(rselect_tail(q38))),
    inference(forward_demodulation,[],[f569,f249]) ).

fof(f616,plain,
    q38 = rstore_tail(rstore_seq(q37,earray_190),s(rselect_tail(q37))),
    inference(forward_demodulation,[],[f570,f247]) ).

fof(f617,plain,
    q11 = rstore_tail(rstore_seq(q10,earray_16),s(rselect_tail(q10))),
    inference(forward_demodulation,[],[f571,f239]) ).

fof(f618,plain,
    q37 = rstore_tail(rstore_seq(q36,earray_184),s(rselect_tail(q36))),
    inference(forward_demodulation,[],[f572,f244]) ).

fof(f619,plain,
    q36 = rstore_tail(rstore_seq(q35,earray_178),s(rselect_tail(q35))),
    inference(forward_demodulation,[],[f573,f242]) ).

fof(f620,plain,
    q35 = rstore_tail(rstore_seq(q34,earray_172),s(rselect_tail(q34))),
    inference(forward_demodulation,[],[f574,f240]) ).

fof(f621,plain,
    q34 = rstore_tail(rstore_seq(q33,earray_166),s(rselect_tail(q33))),
    inference(forward_demodulation,[],[f575,f237]) ).

fof(f622,plain,
    q33 = rstore_tail(rstore_seq(q32,earray_160),s(rselect_tail(q32))),
    inference(forward_demodulation,[],[f576,f235]) ).

fof(f623,plain,
    q32 = rstore_tail(rstore_seq(q31,earray_154),s(rselect_tail(q31))),
    inference(forward_demodulation,[],[f577,f233]) ).

fof(f624,plain,
    q31 = rstore_tail(rstore_seq(q30,earray_148),s(rselect_tail(q30))),
    inference(forward_demodulation,[],[f578,f231]) ).

fof(f625,plain,
    q30 = rstore_tail(rstore_seq(q29,earray_142),s(rselect_tail(q29))),
    inference(forward_demodulation,[],[f579,f229]) ).

fof(f626,plain,
    q3 = rstore_tail(rstore_seq(q2,earray_136),s(rselect_tail(q2))),
    inference(forward_demodulation,[],[f580,f227]) ).

fof(f627,plain,
    q29 = rstore_tail(rstore_seq(q28,earray_130),s(rselect_tail(q28))),
    inference(forward_demodulation,[],[f581,f225]) ).

fof(f628,plain,
    q28 = rstore_tail(rstore_seq(q27,earray_124),s(rselect_tail(q27))),
    inference(forward_demodulation,[],[f583,f222]) ).

fof(f629,plain,
    q27 = rstore_tail(rstore_seq(q26,earray_118),s(rselect_tail(q26))),
    inference(forward_demodulation,[],[f584,f220]) ).

fof(f630,plain,
    q26 = rstore_tail(rstore_seq(q25,earray_112),s(rselect_tail(q25))),
    inference(forward_demodulation,[],[f585,f218]) ).

fof(f631,plain,
    q25 = rstore_tail(rstore_seq(q24,earray_106),s(rselect_tail(q24))),
    inference(forward_demodulation,[],[f586,f215]) ).

fof(f633,plain,
    rselect_tail(q46) = s(index_282),
    inference(superposition,[],[f182,f184]) ).

fof(f634,plain,
    elem_283 = select(rselect_seq(q46),index_282),
    inference(superposition,[],[f114,f86]) ).

fof(f636,plain,
    rselect_tail(q) = rselect_tail(q0),
    inference(superposition,[],[f14,f399]) ).

fof(f637,plain,
    index_0 = rselect_head(q0),
    inference(superposition,[],[f4,f399]) ).

fof(f641,plain,
    index_282 = s(s(rselect_tail(q46))),
    inference(superposition,[],[f19,f633]) ).

fof(f647,plain,
    index_0 = rselect_tail(q0),
    inference(superposition,[],[f115,f636]) ).

fof(f651,plain,
    rselect_tail(q0) = rselect_head(q0),
    inference(superposition,[],[f637,f647]) ).

fof(f783,plain,
    rselect_head(rstore_seq(q9,earray_10)) = rselect_head(q10),
    inference(superposition,[],[f9,f582]) ).

fof(f784,plain,
    rselect_tail(q10) = s(rselect_tail(q9)),
    inference(superposition,[],[f5,f582]) ).

fof(f787,plain,
    rselect_head(q10) = rselect_head(q9),
    inference(forward_demodulation,[],[f783,f11]) ).

fof(f790,plain,
    rselect_head(rstore_seq(q23,earray_100)) = rselect_head(q24),
    inference(superposition,[],[f9,f587]) ).

fof(f791,plain,
    rselect_tail(q24) = s(rselect_tail(q23)),
    inference(superposition,[],[f5,f587]) ).

fof(f794,plain,
    rselect_head(q24) = rselect_head(q23),
    inference(forward_demodulation,[],[f790,f11]) ).

fof(f797,plain,
    rselect_head(q23) = rselect_head(rstore_seq(q22,earray_94)),
    inference(superposition,[],[f9,f588]) ).

fof(f798,plain,
    rselect_tail(q23) = s(rselect_tail(q22)),
    inference(superposition,[],[f5,f588]) ).

fof(f801,plain,
    rselect_head(q23) = rselect_head(q22),
    inference(forward_demodulation,[],[f797,f11]) ).

fof(f802,plain,
    rselect_head(q24) = rselect_head(q22),
    inference(forward_demodulation,[],[f801,f794]) ).

fof(f804,plain,
    rselect_head(q22) = rselect_head(rstore_seq(q21,earray_88)),
    inference(superposition,[],[f9,f589]) ).

fof(f805,plain,
    rselect_tail(q22) = s(rselect_tail(q21)),
    inference(superposition,[],[f5,f589]) ).

fof(f808,plain,
    rselect_head(q22) = rselect_head(q21),
    inference(forward_demodulation,[],[f804,f11]) ).

fof(f809,plain,
    rselect_head(q24) = rselect_head(q21),
    inference(forward_demodulation,[],[f808,f802]) ).

fof(f811,plain,
    rselect_head(q21) = rselect_head(rstore_seq(q20,earray_82)),
    inference(superposition,[],[f9,f590]) ).

fof(f812,plain,
    rselect_tail(q21) = s(rselect_tail(q20)),
    inference(superposition,[],[f5,f590]) ).

fof(f815,plain,
    rselect_head(q21) = rselect_head(q20),
    inference(forward_demodulation,[],[f811,f11]) ).

fof(f816,plain,
    rselect_head(q24) = rselect_head(q20),
    inference(forward_demodulation,[],[f815,f809]) ).

fof(f818,plain,
    rselect_head(q20) = rselect_head(rstore_seq(q19,earray_76)),
    inference(superposition,[],[f9,f591]) ).

fof(f819,plain,
    rselect_tail(q20) = s(rselect_tail(q19)),
    inference(superposition,[],[f5,f591]) ).

fof(f822,plain,
    rselect_head(q20) = rselect_head(q19),
    inference(forward_demodulation,[],[f818,f11]) ).

fof(f823,plain,
    rselect_head(q24) = rselect_head(q19),
    inference(forward_demodulation,[],[f822,f816]) ).

fof(f825,plain,
    rselect_head(rstore_seq(q1,earray_70)) = rselect_head(q2),
    inference(superposition,[],[f9,f592]) ).

fof(f826,plain,
    rselect_tail(q2) = s(rselect_tail(q1)),
    inference(superposition,[],[f5,f592]) ).

fof(f829,plain,
    rselect_head(q2) = rselect_head(q1),
    inference(forward_demodulation,[],[f825,f11]) ).

fof(f832,plain,
    rselect_head(q1) = rselect_head(rstore_seq(q0,earray_4)),
    inference(superposition,[],[f9,f593]) ).

fof(f833,plain,
    rselect_tail(q1) = s(rselect_tail(q0)),
    inference(superposition,[],[f5,f593]) ).

fof(f836,plain,
    rselect_head(q0) = rselect_head(q1),
    inference(forward_demodulation,[],[f832,f11]) ).

fof(f837,plain,
    rselect_head(q0) = rselect_head(q2),
    inference(forward_demodulation,[],[f836,f829]) ).

fof(f839,plain,
    rselect_head(q19) = rselect_head(rstore_seq(q18,earray_64)),
    inference(superposition,[],[f9,f594]) ).

fof(f840,plain,
    rselect_tail(q19) = s(rselect_tail(q18)),
    inference(superposition,[],[f5,f594]) ).

fof(f843,plain,
    rselect_head(q19) = rselect_head(q18),
    inference(forward_demodulation,[],[f839,f11]) ).

fof(f844,plain,
    rselect_head(q24) = rselect_head(q18),
    inference(forward_demodulation,[],[f843,f823]) ).

fof(f846,plain,
    rselect_head(q18) = rselect_head(rstore_seq(q17,earray_58)),
    inference(superposition,[],[f9,f595]) ).

fof(f847,plain,
    rselect_tail(q18) = s(rselect_tail(q17)),
    inference(superposition,[],[f5,f595]) ).

fof(f850,plain,
    rselect_head(q18) = rselect_head(q17),
    inference(forward_demodulation,[],[f846,f11]) ).

fof(f851,plain,
    rselect_head(q24) = rselect_head(q17),
    inference(forward_demodulation,[],[f850,f844]) ).

fof(f853,plain,
    rselect_head(q17) = rselect_head(rstore_seq(q16,earray_52)),
    inference(superposition,[],[f9,f596]) ).

fof(f854,plain,
    rselect_tail(q17) = s(rselect_tail(q16)),
    inference(superposition,[],[f5,f596]) ).

fof(f857,plain,
    rselect_head(q17) = rselect_head(q16),
    inference(forward_demodulation,[],[f853,f11]) ).

fof(f858,plain,
    rselect_head(q24) = rselect_head(q16),
    inference(forward_demodulation,[],[f857,f851]) ).

fof(f860,plain,
    rselect_head(q16) = rselect_head(rstore_seq(q15,earray_46)),
    inference(superposition,[],[f9,f597]) ).

fof(f861,plain,
    rselect_tail(q16) = s(rselect_tail(q15)),
    inference(superposition,[],[f5,f597]) ).

fof(f864,plain,
    rselect_head(q16) = rselect_head(q15),
    inference(forward_demodulation,[],[f860,f11]) ).

fof(f865,plain,
    rselect_head(q24) = rselect_head(q15),
    inference(forward_demodulation,[],[f864,f858]) ).

fof(f867,plain,
    rselect_head(q15) = rselect_head(rstore_seq(q14,earray_40)),
    inference(superposition,[],[f9,f598]) ).

fof(f868,plain,
    rselect_tail(q15) = s(rselect_tail(q14)),
    inference(superposition,[],[f5,f598]) ).

fof(f871,plain,
    rselect_head(q15) = rselect_head(q14),
    inference(forward_demodulation,[],[f867,f11]) ).

fof(f872,plain,
    rselect_head(q24) = rselect_head(q14),
    inference(forward_demodulation,[],[f871,f865]) ).

fof(f874,plain,
    rselect_head(q14) = rselect_head(rstore_seq(q13,earray_34)),
    inference(superposition,[],[f9,f599]) ).

fof(f875,plain,
    rselect_tail(q14) = s(rselect_tail(q13)),
    inference(superposition,[],[f5,f599]) ).

fof(f878,plain,
    rselect_head(q14) = rselect_head(q13),
    inference(forward_demodulation,[],[f874,f11]) ).

fof(f879,plain,
    rselect_head(q24) = rselect_head(q13),
    inference(forward_demodulation,[],[f878,f872]) ).

fof(f881,plain,
    rselect_head(q13) = rselect_head(rstore_seq(q12,earray_28)),
    inference(superposition,[],[f9,f600]) ).

fof(f882,plain,
    rselect_tail(q13) = s(rselect_tail(q12)),
    inference(superposition,[],[f5,f600]) ).

fof(f885,plain,
    rselect_head(q13) = rselect_head(q12),
    inference(forward_demodulation,[],[f881,f11]) ).

fof(f886,plain,
    rselect_head(q24) = rselect_head(q12),
    inference(forward_demodulation,[],[f885,f879]) ).

fof(f888,plain,
    rselect_head(q9) = rselect_head(rstore_seq(q8,earray_274)),
    inference(superposition,[],[f9,f601]) ).

fof(f889,plain,
    rselect_tail(q9) = s(rselect_tail(q8)),
    inference(superposition,[],[f5,f601]) ).

fof(f892,plain,
    rselect_head(q9) = rselect_head(q8),
    inference(forward_demodulation,[],[f888,f11]) ).

fof(f893,plain,
    rselect_head(q10) = rselect_head(q8),
    inference(forward_demodulation,[],[f892,f787]) ).

fof(f895,plain,
    rselect_head(q8) = rselect_head(rstore_seq(q7,earray_268)),
    inference(superposition,[],[f9,f602]) ).

fof(f896,plain,
    rselect_tail(q8) = s(rselect_tail(q7)),
    inference(superposition,[],[f5,f602]) ).

fof(f899,plain,
    rselect_head(q8) = rselect_head(q7),
    inference(forward_demodulation,[],[f895,f11]) ).

fof(f900,plain,
    rselect_head(q10) = rselect_head(q7),
    inference(forward_demodulation,[],[f899,f893]) ).

fof(f902,plain,
    rselect_head(q7) = rselect_head(rstore_seq(q6,earray_262)),
    inference(superposition,[],[f9,f603]) ).

fof(f903,plain,
    rselect_tail(q7) = s(rselect_tail(q6)),
    inference(superposition,[],[f5,f603]) ).

fof(f906,plain,
    rselect_head(q7) = rselect_head(q6),
    inference(forward_demodulation,[],[f902,f11]) ).

fof(f907,plain,
    rselect_head(q10) = rselect_head(q6),
    inference(forward_demodulation,[],[f906,f900]) ).

fof(f909,plain,
    rselect_head(q6) = rselect_head(rstore_seq(q5,earray_256)),
    inference(superposition,[],[f9,f604]) ).

fof(f910,plain,
    rselect_tail(q6) = s(rselect_tail(q5)),
    inference(superposition,[],[f5,f604]) ).

fof(f913,plain,
    rselect_head(q6) = rselect_head(q5),
    inference(forward_demodulation,[],[f909,f11]) ).

fof(f914,plain,
    rselect_head(q10) = rselect_head(q5),
    inference(forward_demodulation,[],[f913,f907]) ).

fof(f916,plain,
    rselect_head(q5) = rselect_head(rstore_seq(q4,earray_250)),
    inference(superposition,[],[f9,f605]) ).

fof(f917,plain,
    rselect_tail(q5) = s(rselect_tail(q4)),
    inference(superposition,[],[f5,f605]) ).

fof(f920,plain,
    rselect_head(q5) = rselect_head(q4),
    inference(forward_demodulation,[],[f916,f11]) ).

fof(f921,plain,
    rselect_head(q10) = rselect_head(q4),
    inference(forward_demodulation,[],[f920,f914]) ).

fof(f923,plain,
    rselect_head(q12) = rselect_head(rstore_seq(q11,earray_22)),
    inference(superposition,[],[f9,f606]) ).

fof(f924,plain,
    rselect_tail(q12) = s(rselect_tail(q11)),
    inference(superposition,[],[f5,f606]) ).

fof(f927,plain,
    rselect_head(q12) = rselect_head(q11),
    inference(forward_demodulation,[],[f923,f11]) ).

fof(f928,plain,
    rselect_head(q24) = rselect_head(q11),
    inference(forward_demodulation,[],[f927,f886]) ).

fof(f930,plain,
    rselect_head(q46) = rselect_head(rstore_seq(q45,earray_244)),
    inference(superposition,[],[f9,f607]) ).

fof(f931,plain,
    rselect_tail(q46) = s(rselect_tail(q45)),
    inference(superposition,[],[f5,f607]) ).

fof(f934,plain,
    rselect_head(q46) = rselect_head(q45),
    inference(forward_demodulation,[],[f930,f11]) ).

fof(f936,plain,
    rselect_head(q45) = rselect_head(rstore_seq(q44,earray_238)),
    inference(superposition,[],[f9,f608]) ).

fof(f937,plain,
    rselect_tail(q45) = s(rselect_tail(q44)),
    inference(superposition,[],[f5,f608]) ).

fof(f940,plain,
    rselect_head(q45) = rselect_head(q44),
    inference(forward_demodulation,[],[f936,f11]) ).

fof(f942,plain,
    rselect_head(q44) = rselect_head(rstore_seq(q43,earray_232)),
    inference(superposition,[],[f9,f609]) ).

fof(f943,plain,
    rselect_tail(q44) = s(rselect_tail(q43)),
    inference(superposition,[],[f5,f609]) ).

fof(f946,plain,
    rselect_head(q44) = rselect_head(q43),
    inference(forward_demodulation,[],[f942,f11]) ).

fof(f948,plain,
    rselect_head(q43) = rselect_head(rstore_seq(q42,earray_226)),
    inference(superposition,[],[f9,f610]) ).

fof(f949,plain,
    rselect_tail(q43) = s(rselect_tail(q42)),
    inference(superposition,[],[f5,f610]) ).

fof(f952,plain,
    rselect_head(q43) = rselect_head(q42),
    inference(forward_demodulation,[],[f948,f11]) ).

fof(f954,plain,
    rselect_head(q42) = rselect_head(rstore_seq(q41,earray_220)),
    inference(superposition,[],[f9,f611]) ).

fof(f955,plain,
    rselect_tail(q42) = s(rselect_tail(q41)),
    inference(superposition,[],[f5,f611]) ).

fof(f958,plain,
    rselect_head(q42) = rselect_head(q41),
    inference(forward_demodulation,[],[f954,f11]) ).

fof(f960,plain,
    rselect_head(q41) = rselect_head(rstore_seq(q40,earray_214)),
    inference(superposition,[],[f9,f612]) ).

fof(f961,plain,
    rselect_tail(q41) = s(rselect_tail(q40)),
    inference(superposition,[],[f5,f612]) ).

fof(f964,plain,
    rselect_head(q41) = rselect_head(q40),
    inference(forward_demodulation,[],[f960,f11]) ).

fof(f966,plain,
    rselect_head(q40) = rselect_head(rstore_seq(q39,earray_208)),
    inference(superposition,[],[f9,f613]) ).

fof(f967,plain,
    rselect_tail(q40) = s(rselect_tail(q39)),
    inference(superposition,[],[f5,f613]) ).

fof(f970,plain,
    rselect_head(q40) = rselect_head(q39),
    inference(forward_demodulation,[],[f966,f11]) ).

fof(f972,plain,
    rselect_head(q4) = rselect_head(rstore_seq(q3,earray_202)),
    inference(superposition,[],[f9,f614]) ).

fof(f973,plain,
    rselect_tail(q4) = s(rselect_tail(q3)),
    inference(superposition,[],[f5,f614]) ).

fof(f976,plain,
    rselect_head(q4) = rselect_head(q3),
    inference(forward_demodulation,[],[f972,f11]) ).

fof(f977,plain,
    rselect_head(q10) = rselect_head(q3),
    inference(forward_demodulation,[],[f976,f921]) ).

fof(f979,plain,
    rselect_head(q39) = rselect_head(rstore_seq(q38,earray_196)),
    inference(superposition,[],[f9,f615]) ).

fof(f980,plain,
    rselect_tail(q39) = s(rselect_tail(q38)),
    inference(superposition,[],[f5,f615]) ).

fof(f983,plain,
    rselect_head(q39) = rselect_head(q38),
    inference(forward_demodulation,[],[f979,f11]) ).

fof(f985,plain,
    rselect_head(q38) = rselect_head(rstore_seq(q37,earray_190)),
    inference(superposition,[],[f9,f616]) ).

fof(f986,plain,
    rselect_tail(q38) = s(rselect_tail(q37)),
    inference(superposition,[],[f5,f616]) ).

fof(f989,plain,
    rselect_head(q38) = rselect_head(q37),
    inference(forward_demodulation,[],[f985,f11]) ).

fof(f991,plain,
    rselect_head(q11) = rselect_head(rstore_seq(q10,earray_16)),
    inference(superposition,[],[f9,f617]) ).

fof(f992,plain,
    rselect_tail(q11) = s(rselect_tail(q10)),
    inference(superposition,[],[f5,f617]) ).

fof(f995,plain,
    rselect_head(q10) = rselect_head(q11),
    inference(forward_demodulation,[],[f991,f11]) ).

fof(f996,plain,
    rselect_head(q10) = rselect_head(q24),
    inference(forward_demodulation,[],[f995,f928]) ).

fof(f998,plain,
    rselect_head(q37) = rselect_head(rstore_seq(q36,earray_184)),
    inference(superposition,[],[f9,f618]) ).

fof(f999,plain,
    rselect_tail(q37) = s(rselect_tail(q36)),
    inference(superposition,[],[f5,f618]) ).

fof(f1002,plain,
    rselect_head(q37) = rselect_head(q36),
    inference(forward_demodulation,[],[f998,f11]) ).

fof(f1004,plain,
    rselect_head(q36) = rselect_head(rstore_seq(q35,earray_178)),
    inference(superposition,[],[f9,f619]) ).

fof(f1005,plain,
    rselect_tail(q36) = s(rselect_tail(q35)),
    inference(superposition,[],[f5,f619]) ).

fof(f1008,plain,
    rselect_head(q36) = rselect_head(q35),
    inference(forward_demodulation,[],[f1004,f11]) ).

fof(f1010,plain,
    rselect_head(q35) = rselect_head(rstore_seq(q34,earray_172)),
    inference(superposition,[],[f9,f620]) ).

fof(f1011,plain,
    rselect_tail(q35) = s(rselect_tail(q34)),
    inference(superposition,[],[f5,f620]) ).

fof(f1014,plain,
    rselect_head(q35) = rselect_head(q34),
    inference(forward_demodulation,[],[f1010,f11]) ).

fof(f1016,plain,
    rselect_head(q34) = rselect_head(rstore_seq(q33,earray_166)),
    inference(superposition,[],[f9,f621]) ).

fof(f1017,plain,
    rselect_tail(q34) = s(rselect_tail(q33)),
    inference(superposition,[],[f5,f621]) ).

fof(f1020,plain,
    rselect_head(q34) = rselect_head(q33),
    inference(forward_demodulation,[],[f1016,f11]) ).

fof(f1022,plain,
    rselect_head(q33) = rselect_head(rstore_seq(q32,earray_160)),
    inference(superposition,[],[f9,f622]) ).

fof(f1023,plain,
    rselect_tail(q33) = s(rselect_tail(q32)),
    inference(superposition,[],[f5,f622]) ).

fof(f1026,plain,
    rselect_head(q33) = rselect_head(q32),
    inference(forward_demodulation,[],[f1022,f11]) ).

fof(f1028,plain,
    rselect_head(q32) = rselect_head(rstore_seq(q31,earray_154)),
    inference(superposition,[],[f9,f623]) ).

fof(f1029,plain,
    rselect_tail(q32) = s(rselect_tail(q31)),
    inference(superposition,[],[f5,f623]) ).

fof(f1032,plain,
    rselect_head(q32) = rselect_head(q31),
    inference(forward_demodulation,[],[f1028,f11]) ).

fof(f1034,plain,
    rselect_head(q31) = rselect_head(rstore_seq(q30,earray_148)),
    inference(superposition,[],[f9,f624]) ).

fof(f1035,plain,
    rselect_tail(q31) = s(rselect_tail(q30)),
    inference(superposition,[],[f5,f624]) ).

fof(f1038,plain,
    rselect_head(q31) = rselect_head(q30),
    inference(forward_demodulation,[],[f1034,f11]) ).

fof(f1040,plain,
    rselect_head(q30) = rselect_head(rstore_seq(q29,earray_142)),
    inference(superposition,[],[f9,f625]) ).

fof(f1041,plain,
    rselect_tail(q30) = s(rselect_tail(q29)),
    inference(superposition,[],[f5,f625]) ).

fof(f1044,plain,
    rselect_head(q30) = rselect_head(q29),
    inference(forward_demodulation,[],[f1040,f11]) ).

fof(f1046,plain,
    rselect_head(q3) = rselect_head(rstore_seq(q2,earray_136)),
    inference(superposition,[],[f9,f626]) ).

fof(f1047,plain,
    rselect_tail(q3) = s(rselect_tail(q2)),
    inference(superposition,[],[f5,f626]) ).

fof(f1050,plain,
    rselect_head(q2) = rselect_head(q3),
    inference(forward_demodulation,[],[f1046,f11]) ).

fof(f1052,plain,
    rselect_head(q29) = rselect_head(rstore_seq(q28,earray_130)),
    inference(superposition,[],[f9,f627]) ).

fof(f1053,plain,
    rselect_tail(q29) = s(rselect_tail(q28)),
    inference(superposition,[],[f5,f627]) ).

fof(f1056,plain,
    rselect_head(q29) = rselect_head(q28),
    inference(forward_demodulation,[],[f1052,f11]) ).

fof(f1058,plain,
    rselect_head(q28) = rselect_head(rstore_seq(q27,earray_124)),
    inference(superposition,[],[f9,f628]) ).

fof(f1059,plain,
    rselect_tail(q28) = s(rselect_tail(q27)),
    inference(superposition,[],[f5,f628]) ).

fof(f1062,plain,
    rselect_head(q28) = rselect_head(q27),
    inference(forward_demodulation,[],[f1058,f11]) ).

fof(f1064,plain,
    rselect_head(q27) = rselect_head(rstore_seq(q26,earray_118)),
    inference(superposition,[],[f9,f629]) ).

fof(f1065,plain,
    rselect_tail(q27) = s(rselect_tail(q26)),
    inference(superposition,[],[f5,f629]) ).

fof(f1068,plain,
    rselect_head(q27) = rselect_head(q26),
    inference(forward_demodulation,[],[f1064,f11]) ).

fof(f1070,plain,
    rselect_head(q26) = rselect_head(rstore_seq(q25,earray_112)),
    inference(superposition,[],[f9,f630]) ).

fof(f1071,plain,
    rselect_tail(q26) = s(rselect_tail(q25)),
    inference(superposition,[],[f5,f630]) ).

fof(f1074,plain,
    rselect_head(q26) = rselect_head(q25),
    inference(forward_demodulation,[],[f1070,f11]) ).

fof(f1076,plain,
    rselect_head(q25) = rselect_head(rstore_seq(q24,earray_106)),
    inference(superposition,[],[f9,f631]) ).

fof(f1077,plain,
    rselect_tail(q25) = s(rselect_tail(q24)),
    inference(superposition,[],[f5,f631]) ).

fof(f1080,plain,
    rselect_head(q24) = rselect_head(q25),
    inference(forward_demodulation,[],[f1076,f11]) ).

fof(f1083,plain,
    rselect_tail(q0) = rselect_head(q2),
    inference(superposition,[],[f651,f837]) ).

fof(f1085,plain,
    rselect_head(q10) = rselect_head(q2),
    inference(superposition,[],[f977,f1050]) ).

fof(f1086,plain,
    rselect_head(q24) = rselect_head(q2),
    inference(forward_demodulation,[],[f1085,f996]) ).

fof(f1134,plain,
    rselect_tail(q9) = s(s(rselect_tail(q10))),
    inference(superposition,[],[f19,f784]) ).

fof(f1193,plain,
    rselect_tail(q24) = s(s(rselect_tail(q22))),
    inference(superposition,[],[f791,f798]) ).

fof(f1198,plain,
    rselect_tail(q24) = s(s(s(rselect_tail(q21)))),
    inference(forward_demodulation,[],[f1193,f805]) ).

fof(f1201,plain,
    rselect_tail(q24) = rselect_tail(q21),
    inference(forward_demodulation,[],[f1198,f19]) ).

fof(f1290,plain,
    rselect_tail(q24) = s(rselect_tail(q20)),
    inference(superposition,[],[f1201,f812]) ).

fof(f1295,plain,
    rselect_tail(q24) = s(s(rselect_tail(q19))),
    inference(forward_demodulation,[],[f1290,f819]) ).

fof(f1299,plain,
    rselect_tail(q24) = s(s(s(rselect_tail(q18)))),
    inference(forward_demodulation,[],[f1295,f840]) ).

fof(f1303,plain,
    rselect_tail(q24) = rselect_tail(q18),
    inference(forward_demodulation,[],[f1299,f19]) ).

fof(f1386,plain,
    rselect_tail(q2) = s(s(rselect_tail(q0))),
    inference(superposition,[],[f826,f833]) ).

fof(f1391,plain,
    rselect_tail(q2) = s(s(rselect_head(q2))),
    inference(forward_demodulation,[],[f1386,f1083]) ).

fof(f1394,plain,
    rselect_tail(q2) = s(s(rselect_head(q24))),
    inference(forward_demodulation,[],[f1391,f1086]) ).

fof(f1428,plain,
    rselect_tail(q24) = s(rselect_tail(q17)),
    inference(superposition,[],[f1303,f847]) ).

fof(f1433,plain,
    rselect_tail(q24) = s(s(rselect_tail(q16))),
    inference(forward_demodulation,[],[f1428,f854]) ).

fof(f1437,plain,
    rselect_tail(q24) = s(s(s(rselect_tail(q15)))),
    inference(forward_demodulation,[],[f1433,f861]) ).

fof(f1441,plain,
    rselect_tail(q24) = rselect_tail(q15),
    inference(forward_demodulation,[],[f1437,f19]) ).

fof(f1514,plain,
    rselect_tail(q24) = s(rselect_tail(q14)),
    inference(superposition,[],[f1441,f868]) ).

fof(f1519,plain,
    rselect_tail(q24) = s(s(rselect_tail(q13))),
    inference(forward_demodulation,[],[f1514,f875]) ).

fof(f1523,plain,
    rselect_tail(q24) = s(s(s(rselect_tail(q12)))),
    inference(forward_demodulation,[],[f1519,f882]) ).

fof(f1527,plain,
    rselect_tail(q24) = rselect_tail(q12),
    inference(forward_demodulation,[],[f1523,f19]) ).

fof(f1707,plain,
    rselect_tail(q24) = s(rselect_tail(q11)),
    inference(superposition,[],[f1527,f924]) ).

fof(f1712,plain,
    rselect_tail(q24) = s(s(rselect_tail(q10))),
    inference(forward_demodulation,[],[f1707,f992]) ).

fof(f2490,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q46)))),
    inference(superposition,[],[f634,f641]) ).

fof(f2494,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q45))))),
    inference(forward_demodulation,[],[f2490,f931]) ).

fof(f2496,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q45)),
    inference(forward_demodulation,[],[f2494,f19]) ).

fof(f2498,plain,
    elem_283 = select(rselect_seq(q46),s(rselect_tail(q44))),
    inference(forward_demodulation,[],[f2496,f937]) ).

fof(f2500,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q43)))),
    inference(forward_demodulation,[],[f2498,f943]) ).

fof(f2502,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q42))))),
    inference(forward_demodulation,[],[f2500,f949]) ).

fof(f2504,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q42)),
    inference(forward_demodulation,[],[f2502,f19]) ).

fof(f2506,plain,
    elem_283 = select(rselect_seq(q46),s(rselect_tail(q41))),
    inference(forward_demodulation,[],[f2504,f955]) ).

fof(f2508,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q40)))),
    inference(forward_demodulation,[],[f2506,f961]) ).

fof(f2510,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q39))))),
    inference(forward_demodulation,[],[f2508,f967]) ).

fof(f2512,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q39)),
    inference(forward_demodulation,[],[f2510,f19]) ).

fof(f2514,plain,
    elem_283 = select(rselect_seq(q46),s(rselect_tail(q38))),
    inference(forward_demodulation,[],[f2512,f980]) ).

fof(f2516,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q37)))),
    inference(forward_demodulation,[],[f2514,f986]) ).

fof(f2518,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q36))))),
    inference(forward_demodulation,[],[f2516,f999]) ).

fof(f2520,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q36)),
    inference(forward_demodulation,[],[f2518,f19]) ).

fof(f2522,plain,
    elem_283 = select(rselect_seq(q46),s(rselect_tail(q35))),
    inference(forward_demodulation,[],[f2520,f1005]) ).

fof(f2524,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q34)))),
    inference(forward_demodulation,[],[f2522,f1011]) ).

fof(f2526,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q33))))),
    inference(forward_demodulation,[],[f2524,f1017]) ).

fof(f2528,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q33)),
    inference(forward_demodulation,[],[f2526,f19]) ).

fof(f2530,plain,
    elem_283 = select(rselect_seq(q46),s(rselect_tail(q32))),
    inference(forward_demodulation,[],[f2528,f1023]) ).

fof(f2532,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q31)))),
    inference(forward_demodulation,[],[f2530,f1029]) ).

fof(f2534,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q30))))),
    inference(forward_demodulation,[],[f2532,f1035]) ).

fof(f2536,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q30)),
    inference(forward_demodulation,[],[f2534,f19]) ).

fof(f2538,plain,
    elem_283 = select(rselect_seq(q46),s(rselect_tail(q29))),
    inference(forward_demodulation,[],[f2536,f1041]) ).

fof(f2540,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q28)))),
    inference(forward_demodulation,[],[f2538,f1053]) ).

fof(f2542,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q27))))),
    inference(forward_demodulation,[],[f2540,f1059]) ).

fof(f2544,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q27)),
    inference(forward_demodulation,[],[f2542,f19]) ).

fof(f2546,plain,
    elem_283 = select(rselect_seq(q46),s(rselect_tail(q26))),
    inference(forward_demodulation,[],[f2544,f1065]) ).

fof(f2548,plain,
    elem_283 = select(rselect_seq(q46),s(s(rselect_tail(q25)))),
    inference(forward_demodulation,[],[f2546,f1071]) ).

fof(f2550,plain,
    elem_283 = select(rselect_seq(q46),s(s(s(rselect_tail(q24))))),
    inference(forward_demodulation,[],[f2548,f1077]) ).

fof(f2552,plain,
    elem_283 = select(rselect_seq(q46),rselect_tail(q24)),
    inference(forward_demodulation,[],[f2550,f19]) ).

fof(f2670,plain,
    s(rselect_tail(q8)) = s(s(rselect_tail(q10))),
    inference(superposition,[],[f889,f1134]) ).

fof(f2676,plain,
    rselect_tail(q24) = s(rselect_tail(q8)),
    inference(forward_demodulation,[],[f2670,f1712]) ).

fof(f2680,plain,
    rselect_tail(q24) = s(s(rselect_tail(q7))),
    inference(forward_demodulation,[],[f2676,f896]) ).

fof(f2684,plain,
    rselect_tail(q24) = s(s(s(rselect_tail(q6)))),
    inference(forward_demodulation,[],[f2680,f903]) ).

fof(f2687,plain,
    rselect_tail(q24) = rselect_tail(q6),
    inference(forward_demodulation,[],[f2684,f19]) ).

fof(f2706,plain,
    rselect_tail(q24) = s(rselect_tail(q5)),
    inference(superposition,[],[f910,f2687]) ).

fof(f2711,plain,
    rselect_tail(q24) = s(s(rselect_tail(q4))),
    inference(forward_demodulation,[],[f2706,f917]) ).

fof(f2714,plain,
    rselect_tail(q24) = s(s(s(rselect_tail(q3)))),
    inference(forward_demodulation,[],[f2711,f973]) ).

fof(f2717,plain,
    rselect_tail(q24) = rselect_tail(q3),
    inference(forward_demodulation,[],[f2714,f19]) ).

fof(f2730,plain,
    rselect_tail(q24) = s(rselect_tail(q2)),
    inference(superposition,[],[f1047,f2717]) ).

fof(f2735,plain,
    rselect_tail(q24) = s(s(s(rselect_head(q24)))),
    inference(forward_demodulation,[],[f2730,f1394]) ).

fof(f2738,plain,
    rselect_tail(q24) = rselect_head(q24),
    inference(forward_demodulation,[],[f2735,f19]) ).

fof(f3049,plain,
    elem_280 != select(rselect_seq(q46),rselect_tail(q24)),
    inference(superposition,[],[f352,f2552]) ).

fof(f3050,plain,
    select(rselect_seq(q46),rselect_head(q46)) != select(rselect_seq(q46),rselect_tail(q24)),
    inference(forward_demodulation,[],[f3049,f495]) ).

fof(f3051,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q45)),
    inference(forward_demodulation,[],[f3050,f934]) ).

fof(f3052,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q44)),
    inference(forward_demodulation,[],[f3051,f940]) ).

fof(f3053,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q43)),
    inference(forward_demodulation,[],[f3052,f946]) ).

fof(f3054,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q42)),
    inference(forward_demodulation,[],[f3053,f952]) ).

fof(f3055,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q41)),
    inference(forward_demodulation,[],[f3054,f958]) ).

fof(f3056,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q40)),
    inference(forward_demodulation,[],[f3055,f964]) ).

fof(f3057,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q39)),
    inference(forward_demodulation,[],[f3056,f970]) ).

fof(f3058,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q38)),
    inference(forward_demodulation,[],[f3057,f983]) ).

fof(f3059,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q37)),
    inference(forward_demodulation,[],[f3058,f989]) ).

fof(f3060,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q36)),
    inference(forward_demodulation,[],[f3059,f1002]) ).

fof(f3061,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q35)),
    inference(forward_demodulation,[],[f3060,f1008]) ).

fof(f3062,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q34)),
    inference(forward_demodulation,[],[f3061,f1014]) ).

fof(f3063,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q33)),
    inference(forward_demodulation,[],[f3062,f1020]) ).

fof(f3064,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q32)),
    inference(forward_demodulation,[],[f3063,f1026]) ).

fof(f3065,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q31)),
    inference(forward_demodulation,[],[f3064,f1032]) ).

fof(f3066,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q30)),
    inference(forward_demodulation,[],[f3065,f1038]) ).

fof(f3067,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q29)),
    inference(forward_demodulation,[],[f3066,f1044]) ).

fof(f3068,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q28)),
    inference(forward_demodulation,[],[f3067,f1056]) ).

fof(f3069,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q27)),
    inference(forward_demodulation,[],[f3068,f1062]) ).

fof(f3070,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q26)),
    inference(forward_demodulation,[],[f3069,f1068]) ).

fof(f3071,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q25)),
    inference(forward_demodulation,[],[f3070,f1074]) ).

fof(f3072,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_head(q24)),
    inference(forward_demodulation,[],[f3071,f1080]) ).

fof(f3073,plain,
    select(rselect_seq(q46),rselect_tail(q24)) != select(rselect_seq(q46),rselect_tail(q24)),
    inference(forward_demodulation,[],[f3072,f2738]) ).

fof(f3074,plain,
    $false,
    inference(trivial_inequality_removal,[],[f3073]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV570-1.046 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23  % Computer : n007.cluster.edu
% 0.11/0.23  % Model    : x86_64 x86_64
% 0.11/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23  % Memory   : 8046.5625MB
% 0.11/0.23  % OS       : Linux 6.8.0-71-generic
% 0.11/0.23  % CPULimit : 300
% 0.11/0.23  % WCLimit  : 300
% 0.11/0.23  % DateTime : Mon Sep 28 11:51:40 UTC 2026
% 0.11/0.23  % CPUTime  : 
% 0.11/0.23  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.29  Running first-order theorem proving
% 0.24/0.29  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/1.62  % (2342313)Input is clausal, will run a generic CNF schedule.
% 5.56/1.62  % (2342324)dis-21_1_sil=8000:lcm=predicate:random_seed=3800928518:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.56/1.62  % (2342324)Refutation not found, incomplete strategy
% 5.56/1.62  % (2342324)------------------------------
% 5.56/1.62  % (2342324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.62  % (2342324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.62  % (2342324)CaDiCaL version: 2.1.3
% 5.56/1.62  % (2342324)Termination reason: Refutation not found, incomplete strategy
% 5.56/1.62  % (2342324)Time elapsed: 0.008 s
% 5.56/1.62  % (2342324)Peak memory usage: 88 MB
% 5.56/1.62  % (2342324)Instructions burned: 13 (million)
% 5.56/1.62  % (2342318)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3372882562:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.56/1.62  % (2342321)lrs+10_1_sil=8000:sp=occurrence:random_seed=1955687124:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.56/1.62  % (2342319)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2062171931:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.56/1.62  % (2342322)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3951151739:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.56/1.62  % (2342320)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2391529116:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.56/1.62  % (2342323)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3311973571:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.56/1.62  % (2342321)Instruction limit reached! 
% 5.56/1.62  % (2342321)------------------------------
% 5.56/1.62  % (2342321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.62  % (2342321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.62  % (2342321)CaDiCaL version: 2.1.3
% 5.56/1.62  % (2342321)Termination reason: Instruction limit
% 5.56/1.62  % (2342321)Termination phase: Saturation
% 5.56/1.62  % (2342321)Time elapsed: 0.099 s
% 5.56/1.62  % (2342321)Peak memory usage: 89 MB
% 5.56/1.62  % (2342321)Instructions burned: 107 (million)
% 5.56/1.62  % (2342322)Instruction limit reached! 
% 5.56/1.62  % (2342322)------------------------------
% 5.56/1.62  % (2342322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.62  % (2342322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.62  % (2342322)CaDiCaL version: 2.1.3
% 5.56/1.62  % (2342322)Termination reason: Instruction limit
% 5.56/1.62  % (2342322)Termination phase: Saturation
% 5.56/1.62  % (2342322)Time elapsed: 0.112 s
% 5.56/1.62  % (2342322)Peak memory usage: 89 MB
% 5.56/1.62  % (2342322)Instructions burned: 117 (million)
% 5.56/1.62  % (2342324)------------------------------
% 5.56/1.62  % (2342324)------------------------------
% 5.56/1.62  % (2342323)Instruction limit reached! 
% 5.56/1.62  % (2342323)------------------------------
% 5.56/1.62  % (2342323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.62  % (2342323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.62  % (2342323)CaDiCaL version: 2.1.3
% 5.56/1.62  % (2342323)Termination reason: Instruction limit
% 5.56/1.62  % (2342323)Termination phase: Saturation
% 5.56/1.62  % (2342323)Time elapsed: 0.162 s
% 5.56/1.62  % (2342323)Peak memory usage: 90 MB
% 5.56/1.62  % (2342323)Instructions burned: 180 (million)
% 5.56/1.62  % (2342333)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4144972931:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.56/1.62  % (2342335)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2605479533:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.56/1.62  % (2342334)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=967846571:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.56/1.62  % (2342335)First to succeed.
% 5.56/1.62  % (2342333)Also succeeded, but the first one will report.
% 5.56/1.62  % (2342335)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2342313"
% 5.56/1.62  % (2342336)lrs+10_64_to=lpo:sil=8000:random_seed=2856652905:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.56/1.62  % (2342336)Instruction limit reached! 
% 5.56/1.62  % (2342336)------------------------------
% 5.56/1.62  % (2342336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.62  % (2342336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.62  % (2342336)CaDiCaL version: 2.1.3
% 5.56/1.62  % (2342336)Termination reason: Instruction limit
% 5.56/1.62  % (2342336)Termination phase: Saturation
% 5.56/1.62  % (2342336)Time elapsed: 0.109 s
% 5.56/1.62  % (2342336)Peak memory usage: 88 MB
% 5.56/1.62  % (2342336)Instructions burned: 126 (million)
% 5.56/1.62  % (2342334)Instruction limit reached! 
% 5.56/1.62  % (2342334)------------------------------
% 5.56/1.62  % (2342334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.62  % (2342334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.62  % (2342334)CaDiCaL version: 2.1.3
% 5.56/1.62  % (2342334)Termination reason: Instruction limit
% 5.56/1.62  % (2342334)Termination phase: Saturation
% 5.56/1.62  % (2342334)Time elapsed: 0.178 s
% 5.56/1.62  % (2342334)Peak memory usage: 89 MB
% 5.56/1.62  % (2342334)Instructions burned: 190 (million)
% 5.56/1.62  % (2342335)Refutation found. Thanks to Tanya!
% 5.56/1.62  % SZS status Unsatisfiable for theBenchmark
% 5.56/1.62  % SZS output start Proof for theBenchmark
% See solution above
% 6.99/1.89  % (2342335)------------------------------
% 6.99/1.89  % (2342335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89  % (2342335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89  % (2342335)CaDiCaL version: 2.1.3
% 6.99/1.89  % (2342335)Termination reason: Refutation
% 6.99/1.89  % (2342335)Time elapsed: 0.057 s
% 6.99/1.89  % (2342335)Peak memory usage: 90 MB
% 6.99/1.89  % (2342335)Instructions burned: 114 (million)
% 6.99/1.89  % (2342335)------------------------------
% 6.99/1.89  % (2342335)------------------------------
% 6.99/1.89  % (2342313)Success in time 0.894 s
% 6.99/1.89  % Vampire exiting
%------------------------------------------------------------------------------