%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV570-1.046 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 21:35:17 EDT 2022

% Result   : Unsatisfiable 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   52
%            Number of leaves      :  250
% Syntax   : Number of clauses     :  620 ( 620 unt;   0 nHn; 611 RR)
%            Number of literals    :  620 ( 619 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  296 ( 296 usr; 287 con; 0-2 aty)
%            Number of variables   :   16 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a1_seq,axiom,
    rselect_seq(rstore_seq(X,Y)) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_seq) ).

cnf(a1_head,axiom,
    rselect_head(rstore_head(X,Y)) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_head) ).

cnf(a1_tail,axiom,
    rselect_tail(rstore_tail(X,Y)) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_tail) ).

cnf(a2_seq_tail,axiom,
    rselect_seq(rstore_tail(X,Y)) = rselect_seq(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_seq_tail) ).

cnf(a2_head_tail,axiom,
    rselect_head(rstore_tail(X,Y)) = rselect_head(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_head_tail) ).

cnf(a2_head_seq,axiom,
    rselect_head(rstore_seq(X,Y)) = rselect_head(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_head_seq) ).

cnf(a2_tail_head,axiom,
    rselect_tail(rstore_head(X,Y)) = rselect_tail(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_tail_head) ).

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

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

cnf(hyp12,hypothesis,
    earray_134 = rselect_seq(q2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(hyp281,hypothesis,
    queue_91 = rstore_tail(queue_89,index_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp281) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(349,plain,
    q9 = rstore_tail(queue_275,index_276),
    inference('REWRITE',[status(thm)],[hyp257,hyp330,theory(equality)]) ).

cnf(350,plain,
    q8 = rstore_tail(queue_269,index_270),
    inference('REWRITE',[status(thm)],[hyp255,hyp329,theory(equality)]) ).

cnf(351,plain,
    q7 = rstore_tail(queue_263,index_264),
    inference('REWRITE',[status(thm)],[hyp253,hyp328,theory(equality)]) ).

cnf(352,plain,
    q6 = rstore_tail(queue_257,index_258),
    inference('REWRITE',[status(thm)],[hyp251,hyp327,theory(equality)]) ).

cnf(353,plain,
    q5 = rstore_tail(queue_251,index_252),
    inference('REWRITE',[status(thm)],[hyp249,hyp326,theory(equality)]) ).

cnf(354,plain,
    q46 = rstore_tail(queue_245,index_246),
    inference('REWRITE',[status(thm)],[hyp246,hyp325,theory(equality)]) ).

cnf(355,plain,
    q45 = rstore_tail(queue_239,index_240),
    inference('REWRITE',[status(thm)],[hyp244,hyp324,theory(equality)]) ).

cnf(356,plain,
    q44 = rstore_tail(queue_233,index_234),
    inference('REWRITE',[status(thm)],[hyp242,hyp323,theory(equality)]) ).

cnf(357,plain,
    q43 = rstore_tail(queue_227,index_228),
    inference('REWRITE',[status(thm)],[hyp239,hyp322,theory(equality)]) ).

cnf(358,plain,
    q42 = rstore_tail(queue_221,index_222),
    inference('REWRITE',[status(thm)],[hyp237,hyp321,theory(equality)]) ).

cnf(359,plain,
    q41 = rstore_tail(queue_215,index_216),
    inference('REWRITE',[status(thm)],[hyp235,hyp320,theory(equality)]) ).

cnf(360,plain,
    q40 = rstore_tail(queue_209,index_210),
    inference('REWRITE',[status(thm)],[hyp233,hyp319,theory(equality)]) ).

cnf(361,plain,
    q4 = rstore_tail(queue_203,index_204),
    inference('REWRITE',[status(thm)],[hyp231,hyp318,theory(equality)]) ).

cnf(362,plain,
    q39 = rstore_tail(queue_197,index_198),
    inference('REWRITE',[status(thm)],[hyp229,hyp317,theory(equality)]) ).

cnf(363,plain,
    q38 = rstore_tail(queue_191,index_192),
    inference('REWRITE',[status(thm)],[hyp227,hyp316,theory(equality)]) ).

cnf(364,plain,
    q37 = rstore_tail(queue_185,index_186),
    inference('REWRITE',[status(thm)],[hyp224,hyp315,theory(equality)]) ).

cnf(365,plain,
    q36 = rstore_tail(queue_179,index_180),
    inference('REWRITE',[status(thm)],[hyp222,hyp314,theory(equality)]) ).

cnf(366,plain,
    q35 = rstore_tail(queue_173,index_174),
    inference('REWRITE',[status(thm)],[hyp220,hyp313,theory(equality)]) ).

cnf(367,plain,
    q34 = rstore_tail(queue_167,index_168),
    inference('REWRITE',[status(thm)],[hyp217,hyp312,theory(equality)]) ).

cnf(368,plain,
    q33 = rstore_tail(queue_161,index_162),
    inference('REWRITE',[status(thm)],[hyp215,hyp311,theory(equality)]) ).

cnf(369,plain,
    q32 = rstore_tail(queue_155,index_156),
    inference('REWRITE',[status(thm)],[hyp213,hyp310,theory(equality)]) ).

cnf(370,plain,
    q31 = rstore_tail(queue_149,index_150),
    inference('REWRITE',[status(thm)],[hyp211,hyp309,theory(equality)]) ).

cnf(371,plain,
    q30 = rstore_tail(queue_143,index_144),
    inference('REWRITE',[status(thm)],[hyp209,hyp308,theory(equality)]) ).

cnf(372,plain,
    q3 = rstore_tail(queue_137,index_138),
    inference('REWRITE',[status(thm)],[hyp207,hyp307,theory(equality)]) ).

cnf(373,plain,
    q29 = rstore_tail(queue_131,index_132),
    inference('REWRITE',[status(thm)],[hyp205,hyp306,theory(equality)]) ).

cnf(374,plain,
    q28 = rstore_tail(queue_125,index_126),
    inference('REWRITE',[status(thm)],[hyp202,hyp305,theory(equality)]) ).

cnf(375,plain,
    q27 = rstore_tail(queue_119,index_120),
    inference('REWRITE',[status(thm)],[hyp200,hyp304,theory(equality)]) ).

cnf(376,plain,
    q26 = rstore_tail(queue_113,index_114),
    inference('REWRITE',[status(thm)],[hyp198,hyp303,theory(equality)]) ).

cnf(377,plain,
    q25 = rstore_tail(queue_107,index_108),
    inference('REWRITE',[status(thm)],[hyp195,hyp302,theory(equality)]) ).

cnf(378,plain,
    q24 = rstore_tail(queue_101,index_102),
    inference('REWRITE',[status(thm)],[hyp193,hyp301,theory(equality)]) ).

cnf(379,plain,
    q23 = rstore_tail(queue_95,index_96),
    inference('REWRITE',[status(thm)],[hyp283,hyp300,theory(equality)]) ).

cnf(380,plain,
    q22 = rstore_tail(queue_89,index_90),
    inference('REWRITE',[status(thm)],[hyp281,hyp299,theory(equality)]) ).

cnf(381,plain,
    q21 = rstore_tail(queue_83,index_84),
    inference('REWRITE',[status(thm)],[hyp279,hyp298,theory(equality)]) ).

cnf(382,plain,
    q20 = rstore_tail(queue_77,index_78),
    inference('REWRITE',[status(thm)],[hyp277,hyp297,theory(equality)]) ).

cnf(383,plain,
    q2 = rstore_tail(queue_71,index_72),
    inference('REWRITE',[status(thm)],[hyp275,hyp296,theory(equality)]) ).

cnf(384,plain,
    q19 = rstore_tail(queue_65,index_66),
    inference('REWRITE',[status(thm)],[hyp272,hyp295,theory(equality)]) ).

cnf(385,plain,
    q18 = rstore_tail(queue_59,index_60),
    inference('REWRITE',[status(thm)],[hyp270,hyp294,theory(equality)]) ).

cnf(386,plain,
    q17 = rstore_tail(queue_53,index_54),
    inference('REWRITE',[status(thm)],[hyp268,hyp293,theory(equality)]) ).

cnf(387,plain,
    q16 = rstore_tail(queue_47,index_48),
    inference('REWRITE',[status(thm)],[hyp265,hyp292,theory(equality)]) ).

cnf(388,plain,
    q15 = rstore_tail(queue_41,index_42),
    inference('REWRITE',[status(thm)],[hyp263,hyp291,theory(equality)]) ).

cnf(389,plain,
    q14 = rstore_tail(queue_35,index_36),
    inference('REWRITE',[status(thm)],[hyp261,hyp290,theory(equality)]) ).

cnf(390,plain,
    q13 = rstore_tail(queue_29,index_30),
    inference('REWRITE',[status(thm)],[hyp259,hyp289,theory(equality)]) ).

cnf(391,plain,
    q12 = rstore_tail(queue_23,index_24),
    inference('REWRITE',[status(thm)],[hyp247,hyp288,theory(equality)]) ).

cnf(392,plain,
    q11 = rstore_tail(queue_17,index_18),
    inference('REWRITE',[status(thm)],[hyp225,hyp287,theory(equality)]) ).

cnf(393,plain,
    q10 = rstore_tail(queue_11,index_12),
    inference('REWRITE',[status(thm)],[hyp203,hyp286,theory(equality)]) ).

cnf(394,plain,
    q1 = rstore_tail(queue_5,index_6),
    inference('REWRITE',[status(thm)],[hyp273,hyp285,theory(equality)]) ).

cnf(395,plain,
    q0 = rstore_head(q,index_0),
    inference('REWRITE',[status(thm)],[hyp191,hyp284,theory(equality)]) ).

cnf(443,plain,
    p(index_281) = index_282,
    inference('PARAMODULATE',[status(thm)],[ps,hyp163,theory(equality)]) ).

cnf(444,plain,
    p(index_96) = index_93,
    inference('PARAMODULATE',[status(thm)],[ps,hyp189,theory(equality)]) ).

cnf(445,plain,
    p(index_90) = index_87,
    inference('PARAMODULATE',[status(thm)],[ps,hyp187,theory(equality)]) ).

cnf(446,plain,
    p(index_84) = index_81,
    inference('PARAMODULATE',[status(thm)],[ps,hyp184,theory(equality)]) ).

cnf(447,plain,
    p(index_78) = index_75,
    inference('PARAMODULATE',[status(thm)],[ps,hyp182,theory(equality)]) ).

cnf(448,plain,
    p(index_72) = index_69,
    inference('PARAMODULATE',[status(thm)],[ps,hyp180,theory(equality)]) ).

cnf(449,plain,
    p(index_66) = index_63,
    inference('PARAMODULATE',[status(thm)],[ps,hyp178,theory(equality)]) ).

cnf(450,plain,
    p(index_60) = index_57,
    inference('PARAMODULATE',[status(thm)],[ps,hyp176,theory(equality)]) ).

cnf(451,plain,
    p(index_54) = index_51,
    inference('PARAMODULATE',[status(thm)],[ps,hyp173,theory(equality)]) ).

cnf(452,plain,
    p(index_48) = index_45,
    inference('PARAMODULATE',[status(thm)],[ps,hyp171,theory(equality)]) ).

cnf(453,plain,
    p(index_42) = index_39,
    inference('PARAMODULATE',[status(thm)],[ps,hyp169,theory(equality)]) ).

cnf(454,plain,
    p(index_6) = index_3,
    inference('PARAMODULATE',[status(thm)],[ps,hyp175,theory(equality)]) ).

cnf(455,plain,
    p(index_36) = index_33,
    inference('PARAMODULATE',[status(thm)],[ps,hyp167,theory(equality)]) ).

cnf(456,plain,
    p(index_30) = index_27,
    inference('PARAMODULATE',[status(thm)],[ps,hyp165,theory(equality)]) ).

cnf(457,plain,
    p(index_276) = index_273,
    inference('PARAMODULATE',[status(thm)],[ps,hyp160,theory(equality)]) ).

cnf(458,plain,
    p(index_270) = index_267,
    inference('PARAMODULATE',[status(thm)],[ps,hyp158,theory(equality)]) ).

cnf(459,plain,
    p(index_264) = index_261,
    inference('PARAMODULATE',[status(thm)],[ps,hyp155,theory(equality)]) ).

cnf(460,plain,
    p(index_258) = index_255,
    inference('PARAMODULATE',[status(thm)],[ps,hyp153,theory(equality)]) ).

cnf(461,plain,
    p(index_252) = index_249,
    inference('PARAMODULATE',[status(thm)],[ps,hyp151,theory(equality)]) ).

cnf(462,plain,
    p(index_246) = index_243,
    inference('PARAMODULATE',[status(thm)],[ps,hyp149,theory(equality)]) ).

cnf(463,plain,
    p(index_240) = index_237,
    inference('PARAMODULATE',[status(thm)],[ps,hyp147,theory(equality)]) ).

cnf(467,plain,
    p(index_24) = index_21,
    inference('PARAMODULATE',[status(thm)],[ps,hyp146,theory(equality)]) ).

cnf(470,plain,
    p(index_204) = index_201,
    inference('PARAMODULATE',[status(thm)],[ps,hyp133,theory(equality)]) ).

cnf(478,plain,
    p(index_18) = index_15,
    inference('PARAMODULATE',[status(thm)],[ps,hyp124,theory(equality)]) ).

cnf(482,plain,
    p(index_138) = index_135,
    inference('PARAMODULATE',[status(thm)],[ps,hyp109,theory(equality)]) ).

cnf(486,plain,
    p(index_114) = index_111,
    inference('PARAMODULATE',[status(thm)],[ps,hyp100,theory(equality)]) ).

cnf(487,plain,
    p(index_108) = index_105,
    inference('PARAMODULATE',[status(thm)],[ps,hyp98,theory(equality)]) ).

cnf(489,plain,
    p(index_12) = index_9,
    inference('PARAMODULATE',[status(thm)],[ps,hyp102,theory(equality)]) ).

cnf(543,plain,
    rselect_seq(queue_71) = earray_70,
    inference('PARAMODULATE',[status(thm)],[a1_seq,hyp274,theory(equality)]) ).

cnf(557,plain,
    rselect_seq(queue_245) = earray_244,
    inference('PARAMODULATE',[status(thm)],[a1_seq,hyp245,theory(equality)]) ).

cnf(585,plain,
    rselect_head(q0) = index_0,
    inference('PARAMODULATE',[status(thm)],[a1_head,395,theory(equality)]) ).

cnf(586,plain,
    index_99 = index_96,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,379,theory(equality)]),hyp190,theory(equality)]) ).

cnf(588,plain,
    index_102 = s(index_96),
    inference('REWRITE',[status(thm)],[hyp96,586,theory(equality)]) ).

cnf(594,plain,
    index_93 = index_90,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,380,theory(equality)]),hyp188,theory(equality)]) ).

cnf(600,plain,
    p(index_96) = index_90,
    inference('REWRITE',[status(thm)],[444,594,theory(equality)]) ).

cnf(602,plain,
    index_87 = index_84,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,381,theory(equality)]),hyp185,theory(equality)]) ).

cnf(608,plain,
    p(index_90) = index_84,
    inference('REWRITE',[status(thm)],[445,602,theory(equality)]) ).

cnf(610,plain,
    index_81 = index_78,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,382,theory(equality)]),hyp183,theory(equality)]) ).

cnf(616,plain,
    p(index_84) = index_78,
    inference('REWRITE',[status(thm)],[446,610,theory(equality)]) ).

cnf(618,plain,
    index_135 = index_72,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,383,theory(equality)]),hyp108,theory(equality)]) ).

cnf(620,plain,
    q2 = rstore_tail(queue_71,index_135),
    inference('REWRITE',[status(thm)],[383,618,theory(equality)]) ).

cnf(622,plain,
    p(index_135) = index_69,
    inference('REWRITE',[status(thm)],[448,618,theory(equality)]) ).

cnf(624,plain,
    index_75 = index_66,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,384,theory(equality)]),hyp181,theory(equality)]) ).

cnf(630,plain,
    p(index_78) = index_66,
    inference('REWRITE',[status(thm)],[447,624,theory(equality)]) ).

cnf(632,plain,
    index_63 = index_60,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,385,theory(equality)]),hyp177,theory(equality)]) ).

cnf(638,plain,
    p(index_66) = index_60,
    inference('REWRITE',[status(thm)],[449,632,theory(equality)]) ).

cnf(640,plain,
    index_69 = index_6,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,394,theory(equality)]),hyp179,theory(equality)]) ).

cnf(646,plain,
    p(index_135) = index_6,
    inference('REWRITE',[status(thm)],[622,640,theory(equality)]) ).

cnf(648,plain,
    index_57 = index_54,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,386,theory(equality)]),hyp174,theory(equality)]) ).

cnf(654,plain,
    p(index_60) = index_54,
    inference('REWRITE',[status(thm)],[450,648,theory(equality)]) ).

cnf(656,plain,
    index_51 = index_48,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,387,theory(equality)]),hyp172,theory(equality)]) ).

cnf(662,plain,
    p(index_54) = index_48,
    inference('REWRITE',[status(thm)],[451,656,theory(equality)]) ).

cnf(664,plain,
    index_45 = index_42,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,388,theory(equality)]),hyp170,theory(equality)]) ).

cnf(670,plain,
    p(index_48) = index_42,
    inference('REWRITE',[status(thm)],[452,664,theory(equality)]) ).

cnf(672,plain,
    index_39 = index_36,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,389,theory(equality)]),hyp168,theory(equality)]) ).

cnf(678,plain,
    p(index_42) = index_36,
    inference('REWRITE',[status(thm)],[453,672,theory(equality)]) ).

cnf(680,plain,
    index_33 = index_30,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,390,theory(equality)]),hyp166,theory(equality)]) ).

cnf(686,plain,
    p(index_36) = index_30,
    inference('REWRITE',[status(thm)],[455,680,theory(equality)]) ).

cnf(688,plain,
    index_9 = index_276,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,349,theory(equality)]),hyp186,theory(equality)]) ).

cnf(694,plain,
    p(index_12) = index_276,
    inference('REWRITE',[status(thm)],[489,688,theory(equality)]) ).

cnf(696,plain,
    index_273 = index_270,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,350,theory(equality)]),hyp159,theory(equality)]) ).

cnf(702,plain,
    p(index_276) = index_270,
    inference('REWRITE',[status(thm)],[457,696,theory(equality)]) ).

cnf(704,plain,
    index_267 = index_264,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,351,theory(equality)]),hyp156,theory(equality)]) ).

cnf(710,plain,
    p(index_270) = index_264,
    inference('REWRITE',[status(thm)],[458,704,theory(equality)]) ).

cnf(712,plain,
    index_261 = index_258,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,352,theory(equality)]),hyp154,theory(equality)]) ).

cnf(718,plain,
    p(index_264) = index_258,
    inference('REWRITE',[status(thm)],[459,712,theory(equality)]) ).

cnf(720,plain,
    index_255 = index_252,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,353,theory(equality)]),hyp152,theory(equality)]) ).

cnf(726,plain,
    p(index_258) = index_252,
    inference('REWRITE',[status(thm)],[460,720,theory(equality)]) ).

cnf(728,plain,
    index_281 = index_246,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,354,theory(equality)]),hyp162,theory(equality)]) ).

cnf(732,plain,
    index_243 = index_282,
    inference('REWRITE',[status(thm)],[443,462,728,theory(equality)]) ).

cnf(733,plain,
    elem_283 = select(earray_278,index_243),
    inference('REWRITE',[status(thm)],[hyp94,732,theory(equality)]) ).

cnf(734,plain,
    index_243 = index_240,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,355,theory(equality)]),hyp148,theory(equality)]) ).

cnf(743,plain,
    elem_283 = select(earray_278,index_240),
    inference('REWRITE',[status(thm)],[733,734,theory(equality)]) ).

cnf(744,plain,
    index_27 = index_24,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,391,theory(equality)]),hyp157,theory(equality)]) ).

cnf(750,plain,
    p(index_30) = index_24,
    inference('REWRITE',[status(thm)],[456,744,theory(equality)]) ).

cnf(752,plain,
    index_237 = index_234,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,356,theory(equality)]),hyp145,theory(equality)]) ).

cnf(755,plain,
    index_240 = s(index_234),
    inference('REWRITE',[status(thm)],[hyp147,752,theory(equality)]) ).

cnf(758,plain,
    p(index_240) = index_234,
    inference('REWRITE',[status(thm)],[463,752,theory(equality)]) ).

cnf(760,plain,
    index_231 = index_228,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,357,theory(equality)]),hyp143,theory(equality)]) ).

cnf(763,plain,
    index_234 = s(index_228),
    inference('REWRITE',[status(thm)],[hyp144,760,theory(equality)]) ).

cnf(768,plain,
    index_225 = index_222,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,358,theory(equality)]),hyp141,theory(equality)]) ).

cnf(771,plain,
    index_228 = s(index_222),
    inference('REWRITE',[status(thm)],[hyp142,768,theory(equality)]) ).

cnf(776,plain,
    index_219 = index_216,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,359,theory(equality)]),hyp139,theory(equality)]) ).

cnf(779,plain,
    index_222 = s(index_216),
    inference('REWRITE',[status(thm)],[hyp140,776,theory(equality)]) ).

cnf(784,plain,
    index_213 = index_210,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,360,theory(equality)]),hyp137,theory(equality)]) ).

cnf(787,plain,
    index_216 = s(index_210),
    inference('REWRITE',[status(thm)],[hyp138,784,theory(equality)]) ).

cnf(792,plain,
    index_249 = index_204,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,361,theory(equality)]),hyp150,theory(equality)]) ).

cnf(798,plain,
    p(index_252) = index_204,
    inference('REWRITE',[status(thm)],[461,792,theory(equality)]) ).

cnf(800,plain,
    index_207 = index_198,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,362,theory(equality)]),hyp134,theory(equality)]) ).

cnf(803,plain,
    index_210 = s(index_198),
    inference('REWRITE',[status(thm)],[hyp136,800,theory(equality)]) ).

cnf(808,plain,
    index_195 = index_192,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,363,theory(equality)]),hyp130,theory(equality)]) ).

cnf(811,plain,
    index_198 = s(index_192),
    inference('REWRITE',[status(thm)],[hyp131,808,theory(equality)]) ).

cnf(816,plain,
    index_189 = index_186,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,364,theory(equality)]),hyp128,theory(equality)]) ).

cnf(819,plain,
    index_192 = s(index_186),
    inference('REWRITE',[status(thm)],[hyp129,816,theory(equality)]) ).

cnf(824,plain,
    index_183 = index_180,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,365,theory(equality)]),hyp126,theory(equality)]) ).

cnf(827,plain,
    index_186 = s(index_180),
    inference('REWRITE',[status(thm)],[hyp127,824,theory(equality)]) ).

cnf(832,plain,
    index_21 = index_18,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,392,theory(equality)]),hyp135,theory(equality)]) ).

cnf(838,plain,
    p(index_24) = index_18,
    inference('REWRITE',[status(thm)],[467,832,theory(equality)]) ).

cnf(840,plain,
    index_177 = index_174,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,366,theory(equality)]),hyp123,theory(equality)]) ).

cnf(843,plain,
    index_180 = s(index_174),
    inference('REWRITE',[status(thm)],[hyp125,840,theory(equality)]) ).

cnf(848,plain,
    index_171 = index_168,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,367,theory(equality)]),hyp121,theory(equality)]) ).

cnf(851,plain,
    index_174 = s(index_168),
    inference('REWRITE',[status(thm)],[hyp122,848,theory(equality)]) ).

cnf(856,plain,
    index_165 = index_162,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,368,theory(equality)]),hyp119,theory(equality)]) ).

cnf(859,plain,
    index_168 = s(index_162),
    inference('REWRITE',[status(thm)],[hyp120,856,theory(equality)]) ).

cnf(864,plain,
    index_159 = index_156,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,369,theory(equality)]),hyp117,theory(equality)]) ).

cnf(867,plain,
    index_162 = s(index_156),
    inference('REWRITE',[status(thm)],[hyp118,864,theory(equality)]) ).

cnf(872,plain,
    index_153 = index_150,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,370,theory(equality)]),hyp115,theory(equality)]) ).

cnf(875,plain,
    index_156 = s(index_150),
    inference('REWRITE',[status(thm)],[hyp116,872,theory(equality)]) ).

cnf(880,plain,
    index_147 = index_144,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,371,theory(equality)]),hyp112,theory(equality)]) ).

cnf(883,plain,
    index_150 = s(index_144),
    inference('REWRITE',[status(thm)],[hyp114,880,theory(equality)]) ).

cnf(888,plain,
    index_201 = index_138,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,372,theory(equality)]),hyp132,theory(equality)]) ).

cnf(894,plain,
    p(index_204) = index_138,
    inference('REWRITE',[status(thm)],[470,888,theory(equality)]) ).

cnf(896,plain,
    index_141 = index_132,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,373,theory(equality)]),hyp110,theory(equality)]) ).

cnf(899,plain,
    index_144 = s(index_132),
    inference('REWRITE',[status(thm)],[hyp111,896,theory(equality)]) ).

cnf(904,plain,
    index_129 = index_126,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,374,theory(equality)]),hyp106,theory(equality)]) ).

cnf(907,plain,
    index_132 = s(index_126),
    inference('REWRITE',[status(thm)],[hyp107,904,theory(equality)]) ).

cnf(912,plain,
    index_123 = index_120,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,375,theory(equality)]),hyp104,theory(equality)]) ).

cnf(915,plain,
    index_126 = s(index_120),
    inference('REWRITE',[status(thm)],[hyp105,912,theory(equality)]) ).

cnf(920,plain,
    index_15 = index_12,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,393,theory(equality)]),hyp113,theory(equality)]) ).

cnf(926,plain,
    p(index_18) = index_12,
    inference('REWRITE',[status(thm)],[478,920,theory(equality)]) ).

cnf(928,plain,
    index_117 = index_114,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,376,theory(equality)]),hyp101,theory(equality)]) ).

cnf(931,plain,
    index_120 = s(index_114),
    inference('REWRITE',[status(thm)],[hyp103,928,theory(equality)]) ).

cnf(936,plain,
    index_111 = index_108,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,377,theory(equality)]),hyp99,theory(equality)]) ).

cnf(939,plain,
    index_114 = s(index_108),
    inference('REWRITE',[status(thm)],[hyp100,936,theory(equality)]) ).

cnf(942,plain,
    p(index_114) = index_108,
    inference('REWRITE',[status(thm)],[486,936,theory(equality)]) ).

cnf(944,plain,
    index_105 = index_102,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1_tail,378,theory(equality)]),hyp97,theory(equality)]) ).

cnf(947,plain,
    index_108 = s(index_102),
    inference('REWRITE',[status(thm)],[hyp98,944,theory(equality)]) ).

cnf(950,plain,
    p(index_108) = index_102,
    inference('REWRITE',[status(thm)],[487,944,theory(equality)]) ).

cnf(1004,plain,
    earray_278 = earray_244,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_seq_tail,354,theory(equality)]),557,hyp66,theory(equality)]) ).

cnf(1006,plain,
    elem_280 = select(earray_244,index_279),
    inference('REWRITE',[status(thm)],[hyp93,1004,theory(equality)]) ).

cnf(1007,plain,
    elem_283 = select(earray_244,index_240),
    inference('REWRITE',[status(thm)],[743,1004,theory(equality)]) ).

cnf(1089,plain,
    earray_134 = earray_70,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_seq_tail,620,theory(equality)]),543,hyp12,theory(equality)]) ).

cnf(1090,plain,
    queue_71 = rstore_seq(q1,earray_134),
    inference('REWRITE',[status(thm)],[hyp274,1089,theory(equality)]) ).

cnf(1093,plain,
    rselect_head(q23) = rselect_head(queue_95),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,379,theory(equality)]) ).

cnf(1094,plain,
    rselect_head(q22) = rselect_head(queue_89),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,380,theory(equality)]) ).

cnf(1095,plain,
    rselect_head(q21) = rselect_head(queue_83),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,381,theory(equality)]) ).

cnf(1096,plain,
    rselect_head(q20) = rselect_head(queue_77),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,382,theory(equality)]) ).

cnf(1097,plain,
    rselect_head(q19) = rselect_head(queue_65),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,384,theory(equality)]) ).

cnf(1098,plain,
    rselect_head(q18) = rselect_head(queue_59),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,385,theory(equality)]) ).

cnf(1099,plain,
    rselect_head(q1) = rselect_head(queue_5),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,394,theory(equality)]) ).

cnf(1100,plain,
    rselect_head(q17) = rselect_head(queue_53),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,386,theory(equality)]) ).

cnf(1101,plain,
    rselect_head(q16) = rselect_head(queue_47),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,387,theory(equality)]) ).

cnf(1102,plain,
    rselect_head(q15) = rselect_head(queue_41),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,388,theory(equality)]) ).

cnf(1103,plain,
    rselect_head(q14) = rselect_head(queue_35),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,389,theory(equality)]) ).

cnf(1104,plain,
    rselect_head(q13) = rselect_head(queue_29),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,390,theory(equality)]) ).

cnf(1105,plain,
    rselect_head(q9) = rselect_head(queue_275),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,349,theory(equality)]) ).

cnf(1106,plain,
    rselect_head(q8) = rselect_head(queue_269),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,350,theory(equality)]) ).

cnf(1107,plain,
    rselect_head(q7) = rselect_head(queue_263),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,351,theory(equality)]) ).

cnf(1108,plain,
    rselect_head(q6) = rselect_head(queue_257),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,352,theory(equality)]) ).

cnf(1109,plain,
    rselect_head(q5) = rselect_head(queue_251),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,353,theory(equality)]) ).

cnf(1110,plain,
    index_279 = rselect_head(queue_245),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_tail,354,theory(equality)]),hyp161,theory(equality)]) ).

cnf(1111,plain,
    rselect_head(q45) = rselect_head(queue_239),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,355,theory(equality)]) ).

cnf(1112,plain,
    rselect_head(q12) = rselect_head(queue_23),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,391,theory(equality)]) ).

cnf(1113,plain,
    rselect_head(q44) = rselect_head(queue_233),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,356,theory(equality)]) ).

cnf(1114,plain,
    rselect_head(q43) = rselect_head(queue_227),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,357,theory(equality)]) ).

cnf(1115,plain,
    rselect_head(q42) = rselect_head(queue_221),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,358,theory(equality)]) ).

cnf(1116,plain,
    rselect_head(q41) = rselect_head(queue_215),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,359,theory(equality)]) ).

cnf(1117,plain,
    rselect_head(q40) = rselect_head(queue_209),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,360,theory(equality)]) ).

cnf(1118,plain,
    rselect_head(q4) = rselect_head(queue_203),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,361,theory(equality)]) ).

cnf(1119,plain,
    rselect_head(q39) = rselect_head(queue_197),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,362,theory(equality)]) ).

cnf(1120,plain,
    rselect_head(q38) = rselect_head(queue_191),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,363,theory(equality)]) ).

cnf(1121,plain,
    rselect_head(q37) = rselect_head(queue_185),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,364,theory(equality)]) ).

cnf(1122,plain,
    rselect_head(q36) = rselect_head(queue_179),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,365,theory(equality)]) ).

cnf(1123,plain,
    rselect_head(q11) = rselect_head(queue_17),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,392,theory(equality)]) ).

cnf(1124,plain,
    rselect_head(q35) = rselect_head(queue_173),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,366,theory(equality)]) ).

cnf(1125,plain,
    rselect_head(q34) = rselect_head(queue_167),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,367,theory(equality)]) ).

cnf(1126,plain,
    rselect_head(q33) = rselect_head(queue_161),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,368,theory(equality)]) ).

cnf(1127,plain,
    rselect_head(q32) = rselect_head(queue_155),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,369,theory(equality)]) ).

cnf(1128,plain,
    rselect_head(q31) = rselect_head(queue_149),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,370,theory(equality)]) ).

cnf(1129,plain,
    rselect_head(q30) = rselect_head(queue_143),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,371,theory(equality)]) ).

cnf(1130,plain,
    rselect_head(q3) = rselect_head(queue_137),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,372,theory(equality)]) ).

cnf(1131,plain,
    rselect_head(q29) = rselect_head(queue_131),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,373,theory(equality)]) ).

cnf(1132,plain,
    rselect_head(q28) = rselect_head(queue_125),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,374,theory(equality)]) ).

cnf(1133,plain,
    rselect_head(q27) = rselect_head(queue_119),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,375,theory(equality)]) ).

cnf(1134,plain,
    rselect_head(q10) = rselect_head(queue_11),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,393,theory(equality)]) ).

cnf(1135,plain,
    rselect_head(q26) = rselect_head(queue_113),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,376,theory(equality)]) ).

cnf(1136,plain,
    rselect_head(q25) = rselect_head(queue_107),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,377,theory(equality)]) ).

cnf(1137,plain,
    rselect_head(q24) = rselect_head(queue_101),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,378,theory(equality)]) ).

cnf(1138,plain,
    rselect_head(q2) = rselect_head(queue_71),
    inference('PARAMODULATE',[status(thm)],[a2_head_tail,620,theory(equality)]) ).

cnf(1139,plain,
    rselect_head(q23) = rselect_head(q22),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp282,theory(equality)]),1093,theory(equality)]) ).

cnf(1141,plain,
    rselect_head(q22) = rselect_head(q21),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp280,theory(equality)]),1094,theory(equality)]) ).

cnf(1143,plain,
    rselect_head(q23) = rselect_head(q21),
    inference('REWRITE',[status(thm)],[1139,1141,theory(equality)]) ).

cnf(1145,plain,
    rselect_head(q21) = rselect_head(q20),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp278,theory(equality)]),1095,theory(equality)]) ).

cnf(1149,plain,
    rselect_head(q23) = rselect_head(q20),
    inference('REWRITE',[status(thm)],[1143,1145,theory(equality)]) ).

cnf(1151,plain,
    rselect_head(q20) = rselect_head(q19),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp276,theory(equality)]),1096,theory(equality)]) ).

cnf(1157,plain,
    rselect_head(q23) = rselect_head(q19),
    inference('REWRITE',[status(thm)],[1149,1151,theory(equality)]) ).

cnf(1159,plain,
    rselect_head(q19) = rselect_head(q18),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp271,theory(equality)]),1097,theory(equality)]) ).

cnf(1167,plain,
    rselect_head(q23) = rselect_head(q18),
    inference('REWRITE',[status(thm)],[1157,1159,theory(equality)]) ).

cnf(1169,plain,
    rselect_head(q18) = rselect_head(q17),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp269,theory(equality)]),1098,theory(equality)]) ).

cnf(1179,plain,
    rselect_head(q23) = rselect_head(q17),
    inference('REWRITE',[status(thm)],[1167,1169,theory(equality)]) ).

cnf(1181,plain,
    rselect_head(q17) = rselect_head(q16),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp267,theory(equality)]),1100,theory(equality)]) ).

cnf(1193,plain,
    rselect_head(q23) = rselect_head(q16),
    inference('REWRITE',[status(thm)],[1179,1181,theory(equality)]) ).

cnf(1195,plain,
    rselect_head(q16) = rselect_head(q15),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp264,theory(equality)]),1101,theory(equality)]) ).

cnf(1209,plain,
    rselect_head(q23) = rselect_head(q15),
    inference('REWRITE',[status(thm)],[1193,1195,theory(equality)]) ).

cnf(1211,plain,
    rselect_head(q15) = rselect_head(q14),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp262,theory(equality)]),1102,theory(equality)]) ).

cnf(1227,plain,
    rselect_head(q23) = rselect_head(q14),
    inference('REWRITE',[status(thm)],[1209,1211,theory(equality)]) ).

cnf(1229,plain,
    rselect_head(q1) = index_0,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp266,theory(equality)]),585,1099,theory(equality)]) ).

cnf(1231,plain,
    rselect_head(q14) = rselect_head(q13),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp260,theory(equality)]),1103,theory(equality)]) ).

cnf(1249,plain,
    rselect_head(q23) = rselect_head(q13),
    inference('REWRITE',[status(thm)],[1227,1231,theory(equality)]) ).

cnf(1251,plain,
    rselect_head(q13) = rselect_head(q12),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp258,theory(equality)]),1104,theory(equality)]) ).

cnf(1271,plain,
    rselect_head(q23) = rselect_head(q12),
    inference('REWRITE',[status(thm)],[1249,1251,theory(equality)]) ).

cnf(1273,plain,
    rselect_head(q9) = rselect_head(q8),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp256,theory(equality)]),1105,theory(equality)]) ).

cnf(1275,plain,
    rselect_head(q8) = rselect_head(q7),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp254,theory(equality)]),1106,theory(equality)]) ).

cnf(1277,plain,
    rselect_head(q9) = rselect_head(q7),
    inference('REWRITE',[status(thm)],[1273,1275,theory(equality)]) ).

cnf(1279,plain,
    rselect_head(q7) = rselect_head(q6),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp252,theory(equality)]),1107,theory(equality)]) ).

cnf(1283,plain,
    rselect_head(q9) = rselect_head(q6),
    inference('REWRITE',[status(thm)],[1277,1279,theory(equality)]) ).

cnf(1285,plain,
    rselect_head(q6) = rselect_head(q5),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp250,theory(equality)]),1108,theory(equality)]) ).

cnf(1291,plain,
    rselect_head(q9) = rselect_head(q5),
    inference('REWRITE',[status(thm)],[1283,1285,theory(equality)]) ).

cnf(1293,plain,
    rselect_head(q5) = rselect_head(q4),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp248,theory(equality)]),1109,theory(equality)]) ).

cnf(1301,plain,
    rselect_head(q9) = rselect_head(q4),
    inference('REWRITE',[status(thm)],[1291,1293,theory(equality)]) ).

cnf(1303,plain,
    index_279 = rselect_head(q45),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp245,theory(equality)]),1110,theory(equality)]) ).

cnf(1304,plain,
    index_279 = rselect_head(queue_239),
    inference('REWRITE',[status(thm)],[1111,1303,theory(equality)]) ).

cnf(1305,plain,
    index_279 = rselect_head(q44),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp243,theory(equality)]),1304,theory(equality)]) ).

cnf(1306,plain,
    index_279 = rselect_head(queue_233),
    inference('REWRITE',[status(thm)],[1113,1305,theory(equality)]) ).

cnf(1307,plain,
    index_279 = rselect_head(q43),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp241,theory(equality)]),1306,theory(equality)]) ).

cnf(1308,plain,
    index_279 = rselect_head(queue_227),
    inference('REWRITE',[status(thm)],[1114,1307,theory(equality)]) ).

cnf(1309,plain,
    index_279 = rselect_head(q42),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp238,theory(equality)]),1308,theory(equality)]) ).

cnf(1310,plain,
    index_279 = rselect_head(queue_221),
    inference('REWRITE',[status(thm)],[1115,1309,theory(equality)]) ).

cnf(1311,plain,
    index_279 = rselect_head(q41),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp236,theory(equality)]),1310,theory(equality)]) ).

cnf(1312,plain,
    index_279 = rselect_head(queue_215),
    inference('REWRITE',[status(thm)],[1116,1311,theory(equality)]) ).

cnf(1313,plain,
    rselect_head(q12) = rselect_head(q11),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp240,theory(equality)]),1112,theory(equality)]) ).

cnf(1335,plain,
    rselect_head(q23) = rselect_head(q11),
    inference('REWRITE',[status(thm)],[1271,1313,theory(equality)]) ).

cnf(1337,plain,
    index_279 = rselect_head(q40),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp234,theory(equality)]),1312,theory(equality)]) ).

cnf(1338,plain,
    index_279 = rselect_head(queue_209),
    inference('REWRITE',[status(thm)],[1117,1337,theory(equality)]) ).

cnf(1339,plain,
    index_279 = rselect_head(q39),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp232,theory(equality)]),1338,theory(equality)]) ).

cnf(1340,plain,
    index_279 = rselect_head(queue_197),
    inference('REWRITE',[status(thm)],[1119,1339,theory(equality)]) ).

cnf(1341,plain,
    rselect_head(q4) = rselect_head(q3),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp230,theory(equality)]),1118,theory(equality)]) ).

cnf(1351,plain,
    rselect_head(q9) = rselect_head(q3),
    inference('REWRITE',[status(thm)],[1301,1341,theory(equality)]) ).

cnf(1353,plain,
    index_279 = rselect_head(q38),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp228,theory(equality)]),1340,theory(equality)]) ).

cnf(1354,plain,
    index_279 = rselect_head(queue_191),
    inference('REWRITE',[status(thm)],[1120,1353,theory(equality)]) ).

cnf(1355,plain,
    index_279 = rselect_head(q37),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp226,theory(equality)]),1354,theory(equality)]) ).

cnf(1356,plain,
    index_279 = rselect_head(queue_185),
    inference('REWRITE',[status(thm)],[1121,1355,theory(equality)]) ).

cnf(1357,plain,
    index_279 = rselect_head(q36),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp223,theory(equality)]),1356,theory(equality)]) ).

cnf(1358,plain,
    index_279 = rselect_head(queue_179),
    inference('REWRITE',[status(thm)],[1122,1357,theory(equality)]) ).

cnf(1359,plain,
    index_279 = rselect_head(q35),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp221,theory(equality)]),1358,theory(equality)]) ).

cnf(1360,plain,
    index_279 = rselect_head(queue_173),
    inference('REWRITE',[status(thm)],[1124,1359,theory(equality)]) ).

cnf(1361,plain,
    index_279 = rselect_head(q34),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp219,theory(equality)]),1360,theory(equality)]) ).

cnf(1362,plain,
    index_279 = rselect_head(queue_167),
    inference('REWRITE',[status(thm)],[1125,1361,theory(equality)]) ).

cnf(1363,plain,
    index_279 = rselect_head(q33),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp216,theory(equality)]),1362,theory(equality)]) ).

cnf(1364,plain,
    index_279 = rselect_head(queue_161),
    inference('REWRITE',[status(thm)],[1126,1363,theory(equality)]) ).

cnf(1365,plain,
    index_279 = rselect_head(q32),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp214,theory(equality)]),1364,theory(equality)]) ).

cnf(1366,plain,
    index_279 = rselect_head(queue_155),
    inference('REWRITE',[status(thm)],[1127,1365,theory(equality)]) ).

cnf(1367,plain,
    rselect_head(q11) = rselect_head(q10),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp218,theory(equality)]),1123,theory(equality)]) ).

cnf(1391,plain,
    rselect_head(q23) = rselect_head(q10),
    inference('REWRITE',[status(thm)],[1335,1367,theory(equality)]) ).

cnf(1393,plain,
    index_279 = rselect_head(q31),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp212,theory(equality)]),1366,theory(equality)]) ).

cnf(1394,plain,
    index_279 = rselect_head(queue_149),
    inference('REWRITE',[status(thm)],[1128,1393,theory(equality)]) ).

cnf(1395,plain,
    index_279 = rselect_head(q30),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp210,theory(equality)]),1394,theory(equality)]) ).

cnf(1396,plain,
    index_279 = rselect_head(queue_143),
    inference('REWRITE',[status(thm)],[1129,1395,theory(equality)]) ).

cnf(1397,plain,
    index_279 = rselect_head(q29),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp208,theory(equality)]),1396,theory(equality)]) ).

cnf(1398,plain,
    index_279 = rselect_head(queue_131),
    inference('REWRITE',[status(thm)],[1131,1397,theory(equality)]) ).

cnf(1399,plain,
    rselect_head(q3) = rselect_head(q2),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp206,theory(equality)]),1130,theory(equality)]) ).

cnf(1411,plain,
    rselect_head(q9) = rselect_head(q2),
    inference('REWRITE',[status(thm)],[1351,1399,theory(equality)]) ).

cnf(1413,plain,
    rselect_head(q2) = index_0,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,1090,theory(equality)]),1229,1138,theory(equality)]) ).

cnf(1427,plain,
    rselect_head(q9) = index_0,
    inference('REWRITE',[status(thm)],[1411,1413,theory(equality)]) ).

cnf(1429,plain,
    index_279 = rselect_head(q28),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp204,theory(equality)]),1398,theory(equality)]) ).

cnf(1430,plain,
    index_279 = rselect_head(queue_125),
    inference('REWRITE',[status(thm)],[1132,1429,theory(equality)]) ).

cnf(1431,plain,
    index_279 = rselect_head(q27),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp201,theory(equality)]),1430,theory(equality)]) ).

cnf(1432,plain,
    index_279 = rselect_head(queue_119),
    inference('REWRITE',[status(thm)],[1133,1431,theory(equality)]) ).

cnf(1433,plain,
    index_279 = rselect_head(q26),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp199,theory(equality)]),1432,theory(equality)]) ).

cnf(1434,plain,
    index_279 = rselect_head(queue_113),
    inference('REWRITE',[status(thm)],[1135,1433,theory(equality)]) ).

cnf(1435,plain,
    index_279 = rselect_head(q25),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp197,theory(equality)]),1434,theory(equality)]) ).

cnf(1436,plain,
    index_279 = rselect_head(queue_107),
    inference('REWRITE',[status(thm)],[1136,1435,theory(equality)]) ).

cnf(1437,plain,
    index_279 = rselect_head(q24),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp194,theory(equality)]),1436,theory(equality)]) ).

cnf(1438,plain,
    index_279 = rselect_head(queue_101),
    inference('REWRITE',[status(thm)],[1137,1437,theory(equality)]) ).

cnf(1439,plain,
    index_279 = rselect_head(q10),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp192,theory(equality)]),1391,1438,theory(equality)]) ).

cnf(1440,plain,
    index_279 = rselect_head(queue_11),
    inference('REWRITE',[status(thm)],[1134,1439,theory(equality)]) ).

cnf(1467,plain,
    index_279 = index_0,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_head_seq,hyp196,theory(equality)]),1427,1440,theory(equality)]) ).

cnf(1469,plain,
    elem_280 = select(earray_244,index_0),
    inference('REWRITE',[status(thm)],[1006,1467,theory(equality)]) ).

cnf(1589,plain,
    index_3 = index_0,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a2_tail_head,395,theory(equality)]),hyp95,hyp164,theory(equality)]) ).

cnf(1594,plain,
    p(index_6) = index_0,
    inference('REWRITE',[status(thm)],[454,1589,theory(equality)]) ).

cnf(1597,plain,
    index_114 = index_96,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[circular,588,theory(equality)]),939,947,theory(equality)]) ).

cnf(1600,plain,
    index_102 = index_120,
    inference('REWRITE',[status(thm)],[588,931,1597,theory(equality)]) ).

cnf(1604,plain,
    index_126 = index_108,
    inference('REWRITE',[status(thm)],[915,947,1600,theory(equality)]) ).

cnf(1608,plain,
    index_132 = index_114,
    inference('REWRITE',[status(thm)],[907,939,1604,theory(equality)]) ).

cnf(1612,plain,
    index_144 = s(index_114),
    inference('REWRITE',[status(thm)],[899,1608,theory(equality)]) ).

cnf(1621,plain,
    index_102 = index_144,
    inference('REWRITE',[status(thm)],[931,1612,1600,theory(equality)]) ).

cnf(1625,plain,
    index_150 = index_108,
    inference('REWRITE',[status(thm)],[883,947,1621,theory(equality)]) ).

cnf(1629,plain,
    index_156 = index_114,
    inference('REWRITE',[status(thm)],[875,939,1625,theory(equality)]) ).

cnf(1633,plain,
    index_162 = s(index_114),
    inference('REWRITE',[status(thm)],[867,1629,theory(equality)]) ).

cnf(1644,plain,
    index_102 = index_162,
    inference('REWRITE',[status(thm)],[1612,1633,1621,theory(equality)]) ).

cnf(1648,plain,
    index_168 = index_108,
    inference('REWRITE',[status(thm)],[859,947,1644,theory(equality)]) ).

cnf(1652,plain,
    index_174 = index_114,
    inference('REWRITE',[status(thm)],[851,939,1648,theory(equality)]) ).

cnf(1656,plain,
    index_180 = s(index_114),
    inference('REWRITE',[status(thm)],[843,1652,theory(equality)]) ).

cnf(1667,plain,
    index_102 = index_180,
    inference('REWRITE',[status(thm)],[1633,1656,1644,theory(equality)]) ).

cnf(1671,plain,
    index_186 = index_108,
    inference('REWRITE',[status(thm)],[827,947,1667,theory(equality)]) ).

cnf(1675,plain,
    index_192 = index_114,
    inference('REWRITE',[status(thm)],[819,939,1671,theory(equality)]) ).

cnf(1679,plain,
    index_198 = s(index_114),
    inference('REWRITE',[status(thm)],[811,1675,theory(equality)]) ).

cnf(1690,plain,
    index_102 = index_198,
    inference('REWRITE',[status(thm)],[1656,1679,1667,theory(equality)]) ).

cnf(1694,plain,
    index_210 = index_108,
    inference('REWRITE',[status(thm)],[803,947,1690,theory(equality)]) ).

cnf(1698,plain,
    index_216 = index_114,
    inference('REWRITE',[status(thm)],[787,939,1694,theory(equality)]) ).

cnf(1702,plain,
    index_222 = s(index_114),
    inference('REWRITE',[status(thm)],[779,1698,theory(equality)]) ).

cnf(1713,plain,
    index_102 = index_222,
    inference('REWRITE',[status(thm)],[1679,1702,1690,theory(equality)]) ).

cnf(1717,plain,
    index_228 = index_108,
    inference('REWRITE',[status(thm)],[771,947,1713,theory(equality)]) ).

cnf(1721,plain,
    index_234 = index_114,
    inference('REWRITE',[status(thm)],[763,939,1717,theory(equality)]) ).

cnf(1725,plain,
    index_240 = s(index_114),
    inference('REWRITE',[status(thm)],[755,1721,theory(equality)]) ).

cnf(1727,plain,
    p(index_240) = index_114,
    inference('REWRITE',[status(thm)],[758,1721,theory(equality)]) ).

cnf(1736,plain,
    index_102 = index_240,
    inference('REWRITE',[status(thm)],[1702,1725,1713,theory(equality)]) ).

cnf(1745,plain,
    elem_283 = select(earray_244,index_102),
    inference('REWRITE',[status(thm)],[1007,1736,theory(equality)]) ).

cnf(1749,plain,
    p(index_102) = index_114,
    inference('REWRITE',[status(thm)],[1727,1736,theory(equality)]) ).

cnf(1755,plain,
    index_108 = index_90,
    inference('REWRITE',[status(thm)],[600,942,1597,theory(equality)]) ).

cnf(1761,plain,
    index_102 = index_84,
    inference('REWRITE',[status(thm)],[608,950,1755,theory(equality)]) ).

cnf(1767,plain,
    index_114 = index_78,
    inference('REWRITE',[status(thm)],[616,1749,1761,theory(equality)]) ).

cnf(1773,plain,
    index_108 = index_66,
    inference('REWRITE',[status(thm)],[630,942,1767,theory(equality)]) ).

cnf(1779,plain,
    index_102 = index_60,
    inference('REWRITE',[status(thm)],[638,950,1773,theory(equality)]) ).

cnf(1785,plain,
    index_114 = index_54,
    inference('REWRITE',[status(thm)],[654,1749,1779,theory(equality)]) ).

cnf(1791,plain,
    index_108 = index_48,
    inference('REWRITE',[status(thm)],[662,942,1785,theory(equality)]) ).

cnf(1797,plain,
    index_102 = index_42,
    inference('REWRITE',[status(thm)],[670,950,1791,theory(equality)]) ).

cnf(1803,plain,
    index_114 = index_36,
    inference('REWRITE',[status(thm)],[678,1749,1797,theory(equality)]) ).

cnf(1809,plain,
    index_108 = index_30,
    inference('REWRITE',[status(thm)],[686,942,1803,theory(equality)]) ).

cnf(1815,plain,
    index_102 = index_24,
    inference('REWRITE',[status(thm)],[750,950,1809,theory(equality)]) ).

cnf(1821,plain,
    index_114 = index_18,
    inference('REWRITE',[status(thm)],[838,1749,1815,theory(equality)]) ).

cnf(1828,plain,
    index_108 = index_12,
    inference('REWRITE',[status(thm)],[926,942,1821,theory(equality)]) ).

cnf(1832,plain,
    index_102 = index_276,
    inference('REWRITE',[status(thm)],[694,950,1828,theory(equality)]) ).

cnf(1838,plain,
    index_114 = index_270,
    inference('REWRITE',[status(thm)],[702,1749,1832,theory(equality)]) ).

cnf(1844,plain,
    index_108 = index_264,
    inference('REWRITE',[status(thm)],[710,942,1838,theory(equality)]) ).

cnf(1850,plain,
    index_102 = index_258,
    inference('REWRITE',[status(thm)],[718,950,1844,theory(equality)]) ).

cnf(1856,plain,
    index_114 = index_252,
    inference('REWRITE',[status(thm)],[726,1749,1850,theory(equality)]) ).

cnf(1862,plain,
    index_108 = index_204,
    inference('REWRITE',[status(thm)],[798,942,1856,theory(equality)]) ).

cnf(1869,plain,
    index_102 = index_138,
    inference('REWRITE',[status(thm)],[894,950,1862,theory(equality)]) ).

cnf(1873,plain,
    index_114 = index_135,
    inference('REWRITE',[status(thm)],[482,1749,1869,theory(equality)]) ).

cnf(1880,plain,
    index_108 = index_6,
    inference('REWRITE',[status(thm)],[646,942,1873,theory(equality)]) ).

cnf(1888,plain,
    index_102 = index_0,
    inference('REWRITE',[status(thm)],[1594,950,1880,theory(equality)]) ).

cnf(1935,plain,
    $false,
    inference('REWRITE',[status(thm)],[1745,goal,1469,1888,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV570-1.046 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 04:44:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T04:44:39
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-16T04:44:39
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  #||
% 0.56/0.74  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.79  ||#
% 0.56/0.79  
% 0.56/0.79  ; Summary of computation:
% 0.56/0.79  ;      2915 formulas have been input or derived (from 579 formulas).
% 0.56/0.79  ;      1935 (66%) were retained.  Of these,
% 0.56/0.79  ;         1378 (71%) were simplified or subsumed later,
% 0.56/0.79  ;          557 (29%) are still being kept.
% 0.56/0.79  ; 
% 0.56/0.79  ; Run time in seconds excluding printing time:
% 0.56/0.79  ;     0.031  11%   Read assertion file          (1 call)
% 0.56/0.79  ;     0.008   3%   Assert                       (348 calls)
% 0.56/0.79  ;     0.099  36%   Process new row              (2,720 calls)
% 0.56/0.79  ;     0.012   4%   Resolution                   (1,156 calls)
% 0.56/0.79  ;     0.013   5%   Paramodulation               (578 calls)
% 0.56/0.79  ;     0.000   0%   Condensing                   (1 call)
% 0.56/0.79  ;     0.000   0%   Forward subsumption          (1 call)
% 0.56/0.79  ;     0.000   0%   Backward subsumption         (1 call)
% 0.56/0.79  ;     0.026   9%   Forward simplification       (2,720 calls)
% 0.56/0.79  ;     0.047  17%   Backward simplification      (1,935 calls)
% 0.56/0.79  ;     0.008   3%   Ordering                     (4,533 calls)
% 0.56/0.79  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.56/0.79  ;     0.001   0%   Purity testing               (1 call)
% 0.56/0.79  ;     0.030  11%   Other
% 0.56/0.79  ;     0.276        Total
% 0.56/0.79  ;     0.324        Real time
% 0.56/0.79  ; 
% 0.56/0.79  ; Term-hash-array has 2,701 terms in all.
% 0.56/0.79  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.56/0.79  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.56/0.79  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.56/0.79  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.56/0.79  ; Path-index has 1,286 entries (1,688 at peak, 3,916 added, 2,630 deleted).
% 0.56/0.79  ; Path-index has 1,724 nodes (2,299 at peak, 4,826 added, 3,102 deleted).
% 0.56/0.79  ; Trie-index has 1,286 entries (1,688 at peak, 3,916 added, 2,630 deleted).
% 0.56/0.79  ; Trie-index has 2,150 nodes (2,886 at peak, 6,741 added, 4,591 deleted).
% 0.56/0.79  ; Retrieved 885 generalization terms in 4,514 calls.
% 0.56/0.79  ; Retrieved 1,983 instance terms in 1,933 calls.
% 0.56/0.79  ; Retrieved 6,193 unifiable terms in 3,214 calls.
% 0.56/0.79  ; 
% 0.56/0.79  ; The agenda of backward simplifiable rows to process has 146 entries:
% 0.56/0.79  ;   146 with value 0
% 0.56/0.79  ; The agenda of rows to process has 48 entries:
% 0.56/0.79  ;    45 with value 9               2 with value 10               1 with value 11
% 0.56/0.79  ; The agenda of input rows to give has 116 entries:
% 0.56/0.79  ;    20 with value 4              37 with value 7                1 with value 11
% 0.56/0.79  ;    37 with value 6              20 with value 8                1 with value 17
% 0.56/0.79  ; The agenda of rows to give has 272 entries:
% 0.56/0.79  ;   107 with value (4 5)         164 with value (4 7)            1 with value (4 8)
% 0.56/0.79  Evaluation took:
% 0.56/0.79    0.325 seconds of real time
% 0.56/0.79    0.29069 seconds of user run time
% 0.56/0.79    0.03414 seconds of system run time
% 0.56/0.79    [Run times include 0.031 seconds GC run time.]
% 0.56/0.79    0 calls to %EVAL
% 0.56/0.79    0 page faults and
% 0.56/0.79    49,698,056 bytes consed.
% 0.56/0.79  :PROOF-FOUND
% 0.56/0.79  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T04:44:39
% 0.56/0.79  :PROOF-FOUND
% 0.56/0.79  * 
%------------------------------------------------------------------------------