%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : SWV570-1.043 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% Computer : n002.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  : 300s
% DateTime : Thu Aug 31 23:05:24 EDT 2023

% Result   : Unsatisfiable 2.56s 0.75s
% Output   : Proof 13.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV570-1.043 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.07/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 10:07:50 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.56/0.75  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 2.56/0.75  
% 2.56/0.75  % SZS status Unsatisfiable
% 2.56/0.75  
% 13.87/2.14  % SZS output start Proof
% 13.87/2.14  Take the following subset of the input axioms:
% 13.87/2.15    fof(a1_head, axiom, ![A, E]: rselect_head(rstore_head(A, E))=E).
% 13.87/2.15    fof(a1_tail, axiom, ![A2, E2]: rselect_tail(rstore_tail(A2, E2))=E2).
% 13.87/2.15    fof(a2_head_seq, axiom, ![A2, E2]: rselect_head(rstore_seq(A2, E2))=rselect_head(A2)).
% 13.87/2.15    fof(a2_head_tail, axiom, ![A2, E2]: rselect_head(rstore_tail(A2, E2))=rselect_head(A2)).
% 13.87/2.15    fof(a2_tail_head, axiom, ![A2, E2]: rselect_tail(rstore_head(A2, E2))=rselect_tail(A2)).
% 13.87/2.15    fof(circular, axiom, ![X]: s(s(s(X)))=X).
% 13.87/2.15    fof(goal, negated_conjecture, elem_262!=elem_265).
% 13.87/2.15    fof(hyp100, hypothesis, index_129=rselect_tail(q28)).
% 13.87/2.15    fof(hyp101, hypothesis, index_132=s(index_129)).
% 13.87/2.15    fof(hyp102, hypothesis, index_135=rselect_tail(q2)).
% 13.87/2.15    fof(hyp103, hypothesis, index_138=s(index_135)).
% 13.87/2.15    fof(hyp104, hypothesis, index_141=rselect_tail(q29)).
% 13.87/2.15    fof(hyp105, hypothesis, index_144=s(index_141)).
% 13.87/2.15    fof(hyp106, hypothesis, index_147=rselect_tail(q30)).
% 13.87/2.15    fof(hyp107, hypothesis, index_15=rselect_tail(q10)).
% 13.87/2.15    fof(hyp108, hypothesis, index_150=s(index_147)).
% 13.87/2.15    fof(hyp109, hypothesis, index_153=rselect_tail(q31)).
% 13.87/2.15    fof(hyp110, hypothesis, index_156=s(index_153)).
% 13.87/2.15    fof(hyp111, hypothesis, index_159=rselect_tail(q32)).
% 13.87/2.15    fof(hyp112, hypothesis, index_162=s(index_159)).
% 13.87/2.15    fof(hyp113, hypothesis, index_165=rselect_tail(q33)).
% 13.87/2.15    fof(hyp114, hypothesis, index_168=s(index_165)).
% 13.87/2.15    fof(hyp115, hypothesis, index_171=rselect_tail(q34)).
% 13.87/2.15    fof(hyp116, hypothesis, index_174=s(index_171)).
% 13.87/2.15    fof(hyp117, hypothesis, index_177=rselect_tail(q35)).
% 13.87/2.15    fof(hyp118, hypothesis, index_18=s(index_15)).
% 13.87/2.15    fof(hyp119, hypothesis, index_180=s(index_177)).
% 13.87/2.15    fof(hyp120, hypothesis, index_183=rselect_tail(q36)).
% 13.87/2.15    fof(hyp121, hypothesis, index_186=s(index_183)).
% 13.87/2.15    fof(hyp122, hypothesis, index_189=rselect_tail(q37)).
% 13.87/2.15    fof(hyp123, hypothesis, index_192=s(index_189)).
% 13.87/2.15    fof(hyp124, hypothesis, index_195=rselect_tail(q38)).
% 13.87/2.15    fof(hyp125, hypothesis, index_198=s(index_195)).
% 13.87/2.15    fof(hyp126, hypothesis, index_201=rselect_tail(q3)).
% 13.87/2.15    fof(hyp127, hypothesis, index_204=s(index_201)).
% 13.87/2.15    fof(hyp128, hypothesis, index_207=rselect_tail(q39)).
% 13.87/2.15    fof(hyp129, hypothesis, index_21=rselect_tail(q11)).
% 13.87/2.15    fof(hyp130, hypothesis, index_210=s(index_207)).
% 13.87/2.15    fof(hyp131, hypothesis, index_213=rselect_tail(q40)).
% 13.87/2.15    fof(hyp132, hypothesis, index_216=s(index_213)).
% 13.87/2.15    fof(hyp133, hypothesis, index_219=rselect_tail(q41)).
% 13.87/2.15    fof(hyp134, hypothesis, index_222=s(index_219)).
% 13.87/2.15    fof(hyp135, hypothesis, index_225=rselect_tail(q42)).
% 13.87/2.15    fof(hyp136, hypothesis, index_228=s(index_225)).
% 13.87/2.15    fof(hyp137, hypothesis, index_231=rselect_tail(q4)).
% 13.87/2.15    fof(hyp138, hypothesis, index_234=s(index_231)).
% 13.87/2.15    fof(hyp139, hypothesis, index_237=rselect_tail(q5)).
% 13.87/2.15    fof(hyp140, hypothesis, index_24=s(index_21)).
% 13.87/2.15    fof(hyp141, hypothesis, index_240=s(index_237)).
% 13.87/2.15    fof(hyp142, hypothesis, index_243=rselect_tail(q6)).
% 13.87/2.15    fof(hyp143, hypothesis, index_246=s(index_243)).
% 13.87/2.15    fof(hyp144, hypothesis, index_249=rselect_tail(q7)).
% 13.87/2.15    fof(hyp145, hypothesis, index_252=s(index_249)).
% 13.87/2.15    fof(hyp146, hypothesis, index_255=rselect_tail(q8)).
% 13.87/2.15    fof(hyp147, hypothesis, index_258=s(index_255)).
% 13.87/2.15    fof(hyp148, hypothesis, index_261=rselect_head(q43)).
% 13.87/2.15    fof(hyp149, hypothesis, index_263=rselect_tail(q43)).
% 13.87/2.15    fof(hyp150, hypothesis, s(index_264)=index_263).
% 13.87/2.15    fof(hyp151, hypothesis, index_27=rselect_tail(q12)).
% 13.87/2.15    fof(hyp152, hypothesis, index_3=rselect_tail(q0)).
% 13.87/2.15    fof(hyp153, hypothesis, index_30=s(index_27)).
% 13.87/2.15    fof(hyp154, hypothesis, index_33=rselect_tail(q13)).
% 13.87/2.15    fof(hyp155, hypothesis, index_36=s(index_33)).
% 13.87/2.15    fof(hyp156, hypothesis, index_39=rselect_tail(q14)).
% 13.87/2.15    fof(hyp157, hypothesis, index_42=s(index_39)).
% 13.87/2.15    fof(hyp158, hypothesis, index_45=rselect_tail(q15)).
% 13.87/2.15    fof(hyp159, hypothesis, index_48=s(index_45)).
% 13.87/2.15    fof(hyp160, hypothesis, index_51=rselect_tail(q16)).
% 13.87/2.15    fof(hyp161, hypothesis, index_54=s(index_51)).
% 13.87/2.15    fof(hyp162, hypothesis, index_57=rselect_tail(q17)).
% 13.87/2.15    fof(hyp163, hypothesis, index_6=s(index_3)).
% 13.87/2.15    fof(hyp164, hypothesis, index_60=s(index_57)).
% 13.87/2.15    fof(hyp165, hypothesis, index_63=rselect_tail(q18)).
% 13.87/2.15    fof(hyp166, hypothesis, index_66=s(index_63)).
% 13.87/2.15    fof(hyp167, hypothesis, index_69=rselect_tail(q1)).
% 13.87/2.15    fof(hyp168, hypothesis, index_72=s(index_69)).
% 13.87/2.15    fof(hyp169, hypothesis, index_75=rselect_tail(q19)).
% 13.87/2.15    fof(hyp170, hypothesis, index_78=s(index_75)).
% 13.87/2.15    fof(hyp171, hypothesis, index_81=rselect_tail(q20)).
% 13.87/2.15    fof(hyp172, hypothesis, index_84=s(index_81)).
% 13.87/2.15    fof(hyp173, hypothesis, index_87=rselect_tail(q21)).
% 13.87/2.15    fof(hyp174, hypothesis, index_9=rselect_tail(q9)).
% 13.87/2.15    fof(hyp175, hypothesis, index_90=s(index_87)).
% 13.87/2.15    fof(hyp176, hypothesis, index_93=rselect_tail(q22)).
% 13.87/2.15    fof(hyp177, hypothesis, index_96=s(index_93)).
% 13.87/2.15    fof(hyp178, hypothesis, index_99=rselect_tail(q23)).
% 13.87/2.15    fof(hyp179, hypothesis, queue_1=rstore_head(q, index_0)).
% 13.87/2.15    fof(hyp180, hypothesis, queue_101=rstore_seq(q23, earray_100)).
% 13.87/2.15    fof(hyp181, hypothesis, queue_103=rstore_tail(queue_101, index_102)).
% 13.87/2.15    fof(hyp182, hypothesis, queue_107=rstore_seq(q24, earray_106)).
% 13.87/2.15    fof(hyp183, hypothesis, queue_109=rstore_tail(queue_107, index_108)).
% 13.87/2.15    fof(hyp184, hypothesis, queue_11=rstore_seq(q9, earray_10)).
% 13.87/2.15    fof(hyp185, hypothesis, queue_113=rstore_seq(q25, earray_112)).
% 13.87/2.15    fof(hyp186, hypothesis, queue_115=rstore_tail(queue_113, index_114)).
% 13.87/2.15    fof(hyp187, hypothesis, queue_119=rstore_seq(q26, earray_118)).
% 13.87/2.15    fof(hyp188, hypothesis, queue_121=rstore_tail(queue_119, index_120)).
% 13.87/2.15    fof(hyp189, hypothesis, queue_125=rstore_seq(q27, earray_124)).
% 13.87/2.15    fof(hyp190, hypothesis, queue_127=rstore_tail(queue_125, index_126)).
% 13.87/2.15    fof(hyp191, hypothesis, queue_13=rstore_tail(queue_11, index_12)).
% 13.87/2.15    fof(hyp192, hypothesis, queue_131=rstore_seq(q28, earray_130)).
% 13.87/2.15    fof(hyp193, hypothesis, queue_133=rstore_tail(queue_131, index_132)).
% 13.87/2.15    fof(hyp194, hypothesis, queue_137=rstore_seq(q2, earray_136)).
% 13.87/2.15    fof(hyp195, hypothesis, queue_139=rstore_tail(queue_137, index_138)).
% 13.87/2.15    fof(hyp196, hypothesis, queue_143=rstore_seq(q29, earray_142)).
% 13.87/2.15    fof(hyp197, hypothesis, queue_145=rstore_tail(queue_143, index_144)).
% 13.87/2.15    fof(hyp198, hypothesis, queue_149=rstore_seq(q30, earray_148)).
% 13.87/2.15    fof(hyp199, hypothesis, queue_151=rstore_tail(queue_149, index_150)).
% 13.87/2.15    fof(hyp200, hypothesis, queue_155=rstore_seq(q31, earray_154)).
% 13.87/2.15    fof(hyp201, hypothesis, queue_157=rstore_tail(queue_155, index_156)).
% 13.87/2.15    fof(hyp202, hypothesis, queue_161=rstore_seq(q32, earray_160)).
% 13.87/2.15    fof(hyp203, hypothesis, queue_163=rstore_tail(queue_161, index_162)).
% 13.87/2.15    fof(hyp204, hypothesis, queue_167=rstore_seq(q33, earray_166)).
% 13.87/2.15    fof(hyp205, hypothesis, queue_169=rstore_tail(queue_167, index_168)).
% 13.87/2.15    fof(hyp206, hypothesis, queue_17=rstore_seq(q10, earray_16)).
% 13.87/2.15    fof(hyp207, hypothesis, queue_173=rstore_seq(q34, earray_172)).
% 13.87/2.15    fof(hyp208, hypothesis, queue_175=rstore_tail(queue_173, index_174)).
% 13.87/2.15    fof(hyp209, hypothesis, queue_179=rstore_seq(q35, earray_178)).
% 13.87/2.15    fof(hyp210, hypothesis, queue_181=rstore_tail(queue_179, index_180)).
% 13.87/2.15    fof(hyp211, hypothesis, queue_185=rstore_seq(q36, earray_184)).
% 13.87/2.15    fof(hyp212, hypothesis, queue_187=rstore_tail(queue_185, index_186)).
% 13.87/2.15    fof(hyp213, hypothesis, queue_19=rstore_tail(queue_17, index_18)).
% 13.87/2.15    fof(hyp214, hypothesis, queue_191=rstore_seq(q37, earray_190)).
% 13.87/2.15    fof(hyp215, hypothesis, queue_193=rstore_tail(queue_191, index_192)).
% 13.87/2.15    fof(hyp216, hypothesis, queue_197=rstore_seq(q38, earray_196)).
% 13.87/2.15    fof(hyp217, hypothesis, queue_199=rstore_tail(queue_197, index_198)).
% 13.87/2.15    fof(hyp218, hypothesis, queue_203=rstore_seq(q3, earray_202)).
% 13.87/2.15    fof(hyp219, hypothesis, queue_205=rstore_tail(queue_203, index_204)).
% 13.87/2.15    fof(hyp220, hypothesis, queue_209=rstore_seq(q39, earray_208)).
% 13.87/2.15    fof(hyp221, hypothesis, queue_211=rstore_tail(queue_209, index_210)).
% 13.87/2.15    fof(hyp222, hypothesis, queue_215=rstore_seq(q40, earray_214)).
% 13.87/2.15    fof(hyp223, hypothesis, queue_217=rstore_tail(queue_215, index_216)).
% 13.87/2.15    fof(hyp224, hypothesis, queue_221=rstore_seq(q41, earray_220)).
% 13.87/2.15    fof(hyp225, hypothesis, queue_223=rstore_tail(queue_221, index_222)).
% 13.87/2.15    fof(hyp226, hypothesis, queue_227=rstore_seq(q42, earray_226)).
% 13.87/2.15    fof(hyp227, hypothesis, queue_229=rstore_tail(queue_227, index_228)).
% 13.87/2.15    fof(hyp228, hypothesis, queue_23=rstore_seq(q11, earray_22)).
% 13.87/2.15    fof(hyp229, hypothesis, queue_233=rstore_seq(q4, earray_232)).
% 13.87/2.15    fof(hyp230, hypothesis, queue_235=rstore_tail(queue_233, index_234)).
% 13.87/2.15    fof(hyp231, hypothesis, queue_239=rstore_seq(q5, earray_238)).
% 13.87/2.15    fof(hyp232, hypothesis, queue_241=rstore_tail(queue_239, index_240)).
% 13.87/2.15    fof(hyp233, hypothesis, queue_245=rstore_seq(q6, earray_244)).
% 13.87/2.15    fof(hyp234, hypothesis, queue_247=rstore_tail(queue_245, index_246)).
% 13.87/2.15    fof(hyp235, hypothesis, queue_25=rstore_tail(queue_23, index_24)).
% 13.87/2.15    fof(hyp236, hypothesis, queue_251=rstore_seq(q7, earray_250)).
% 13.87/2.15    fof(hyp237, hypothesis, queue_253=rstore_tail(queue_251, index_252)).
% 13.87/2.15    fof(hyp238, hypothesis, queue_257=rstore_seq(q8, earray_256)).
% 13.87/2.15    fof(hyp239, hypothesis, queue_259=rstore_tail(queue_257, index_258)).
% 13.87/2.15    fof(hyp240, hypothesis, queue_29=rstore_seq(q12, earray_28)).
% 13.87/2.15    fof(hyp241, hypothesis, queue_31=rstore_tail(queue_29, index_30)).
% 13.87/2.15    fof(hyp242, hypothesis, queue_35=rstore_seq(q13, earray_34)).
% 13.87/2.15    fof(hyp243, hypothesis, queue_37=rstore_tail(queue_35, index_36)).
% 13.87/2.15    fof(hyp244, hypothesis, queue_41=rstore_seq(q14, earray_40)).
% 13.87/2.15    fof(hyp245, hypothesis, queue_43=rstore_tail(queue_41, index_42)).
% 13.87/2.15    fof(hyp246, hypothesis, queue_47=rstore_seq(q15, earray_46)).
% 13.87/2.15    fof(hyp247, hypothesis, queue_49=rstore_tail(queue_47, index_48)).
% 13.87/2.15    fof(hyp248, hypothesis, queue_5=rstore_seq(q0, earray_4)).
% 13.87/2.15    fof(hyp249, hypothesis, queue_53=rstore_seq(q16, earray_52)).
% 13.87/2.15    fof(hyp250, hypothesis, queue_55=rstore_tail(queue_53, index_54)).
% 13.87/2.15    fof(hyp251, hypothesis, queue_59=rstore_seq(q17, earray_58)).
% 13.87/2.15    fof(hyp252, hypothesis, queue_61=rstore_tail(queue_59, index_60)).
% 13.87/2.15    fof(hyp253, hypothesis, queue_65=rstore_seq(q18, earray_64)).
% 13.87/2.15    fof(hyp254, hypothesis, queue_67=rstore_tail(queue_65, index_66)).
% 13.87/2.15    fof(hyp255, hypothesis, queue_7=rstore_tail(queue_5, index_6)).
% 13.87/2.15    fof(hyp256, hypothesis, queue_71=rstore_seq(q1, earray_70)).
% 13.87/2.15    fof(hyp257, hypothesis, queue_73=rstore_tail(queue_71, index_72)).
% 13.87/2.15    fof(hyp258, hypothesis, queue_77=rstore_seq(q19, earray_76)).
% 13.87/2.15    fof(hyp259, hypothesis, queue_79=rstore_tail(queue_77, index_78)).
% 13.87/2.15    fof(hyp260, hypothesis, queue_83=rstore_seq(q20, earray_82)).
% 13.87/2.15    fof(hyp261, hypothesis, queue_85=rstore_tail(queue_83, index_84)).
% 13.87/2.15    fof(hyp262, hypothesis, queue_89=rstore_seq(q21, earray_88)).
% 13.87/2.15    fof(hyp263, hypothesis, queue_91=rstore_tail(queue_89, index_90)).
% 13.87/2.15    fof(hyp264, hypothesis, queue_95=rstore_seq(q22, earray_94)).
% 13.87/2.16    fof(hyp265, hypothesis, queue_97=rstore_tail(queue_95, index_96)).
% 13.87/2.16    fof(hyp266, hypothesis, q0=queue_1).
% 13.87/2.16    fof(hyp267, hypothesis, q1=queue_7).
% 13.87/2.16    fof(hyp268, hypothesis, q10=queue_13).
% 13.87/2.16    fof(hyp269, hypothesis, q11=queue_19).
% 13.87/2.16    fof(hyp270, hypothesis, q12=queue_25).
% 13.87/2.16    fof(hyp271, hypothesis, q13=queue_31).
% 13.87/2.16    fof(hyp272, hypothesis, q14=queue_37).
% 13.87/2.16    fof(hyp273, hypothesis, q15=queue_43).
% 13.87/2.16    fof(hyp274, hypothesis, q16=queue_49).
% 13.87/2.16    fof(hyp275, hypothesis, q17=queue_55).
% 13.87/2.16    fof(hyp276, hypothesis, q18=queue_61).
% 13.87/2.16    fof(hyp277, hypothesis, q19=queue_67).
% 13.87/2.16    fof(hyp278, hypothesis, q2=queue_73).
% 13.87/2.16    fof(hyp279, hypothesis, q20=queue_79).
% 13.87/2.16    fof(hyp280, hypothesis, q21=queue_85).
% 13.87/2.16    fof(hyp281, hypothesis, q22=queue_91).
% 13.87/2.16    fof(hyp282, hypothesis, q23=queue_97).
% 13.87/2.16    fof(hyp283, hypothesis, q24=queue_103).
% 13.87/2.16    fof(hyp284, hypothesis, q25=queue_109).
% 13.87/2.16    fof(hyp285, hypothesis, q26=queue_115).
% 13.87/2.16    fof(hyp286, hypothesis, q27=queue_121).
% 13.87/2.16    fof(hyp287, hypothesis, q28=queue_127).
% 13.87/2.16    fof(hyp288, hypothesis, q29=queue_133).
% 13.87/2.16    fof(hyp289, hypothesis, q3=queue_139).
% 13.87/2.16    fof(hyp290, hypothesis, q30=queue_145).
% 13.87/2.16    fof(hyp291, hypothesis, q31=queue_151).
% 13.87/2.16    fof(hyp292, hypothesis, q32=queue_157).
% 13.87/2.16    fof(hyp293, hypothesis, q33=queue_163).
% 13.87/2.16    fof(hyp294, hypothesis, q34=queue_169).
% 13.87/2.16    fof(hyp295, hypothesis, q35=queue_175).
% 13.87/2.16    fof(hyp296, hypothesis, q36=queue_181).
% 13.87/2.16    fof(hyp297, hypothesis, q37=queue_187).
% 13.87/2.16    fof(hyp298, hypothesis, q38=queue_193).
% 13.87/2.16    fof(hyp299, hypothesis, q39=queue_199).
% 13.87/2.16    fof(hyp300, hypothesis, q4=queue_205).
% 13.87/2.16    fof(hyp301, hypothesis, q40=queue_211).
% 13.87/2.16    fof(hyp302, hypothesis, q41=queue_217).
% 13.87/2.16    fof(hyp303, hypothesis, q42=queue_223).
% 13.87/2.16    fof(hyp304, hypothesis, q43=queue_229).
% 13.87/2.16    fof(hyp305, hypothesis, q5=queue_235).
% 13.87/2.16    fof(hyp306, hypothesis, q6=queue_241).
% 13.87/2.16    fof(hyp307, hypothesis, q7=queue_247).
% 13.87/2.16    fof(hyp308, hypothesis, q8=queue_253).
% 13.87/2.16    fof(hyp309, hypothesis, q9=queue_259).
% 13.87/2.16    fof(hyp87, hypothesis, elem_262=select(earray_260, index_261)).
% 13.87/2.16    fof(hyp88, hypothesis, elem_265=select(earray_260, index_264)).
% 13.87/2.16    fof(hyp89, hypothesis, index_0=rselect_tail(q)).
% 13.87/2.16    fof(hyp90, hypothesis, index_102=s(index_99)).
% 13.87/2.16    fof(hyp91, hypothesis, index_105=rselect_tail(q24)).
% 13.87/2.16    fof(hyp92, hypothesis, index_108=s(index_105)).
% 13.87/2.16    fof(hyp93, hypothesis, index_111=rselect_tail(q25)).
% 13.87/2.16    fof(hyp94, hypothesis, index_114=s(index_111)).
% 13.87/2.16    fof(hyp95, hypothesis, index_117=rselect_tail(q26)).
% 13.87/2.16    fof(hyp96, hypothesis, index_12=s(index_9)).
% 13.87/2.16    fof(hyp97, hypothesis, index_120=s(index_117)).
% 13.87/2.16    fof(hyp98, hypothesis, index_123=rselect_tail(q27)).
% 13.87/2.16    fof(hyp99, hypothesis, index_126=s(index_123)).
% 13.87/2.16    fof(ps, axiom, ![X2]: p(s(X2))=X2).
% 13.87/2.16  
% 13.87/2.16  Now clausify the problem and encode Horn clauses using encoding 3 of
% 13.87/2.16  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 13.87/2.16  We repeatedly replace C & s=t => u=v by the two clauses:
% 13.87/2.16    fresh(y, y, x1...xn) = u
% 13.87/2.16    C => fresh(s, t, x1...xn) = v
% 13.87/2.16  where fresh is a fresh function symbol and x1..xn are the free
% 13.87/2.16  variables of u and v.
% 13.87/2.16  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 13.87/2.16  input problem has no model of domain size 1).
% 13.87/2.16  
% 13.87/2.16  The encoding turns the above axioms into the following unit equations and goals:
% 13.87/2.16  
% 13.87/2.16  Axiom 1 (hyp266): q0 = queue_1.
% 13.87/2.16  Axiom 2 (hyp283): q24 = queue_103.
% 13.87/2.16  Axiom 3 (hyp284): q25 = queue_109.
% 13.87/2.16  Axiom 4 (hyp285): q26 = queue_115.
% 13.87/2.16  Axiom 5 (hyp286): q27 = queue_121.
% 13.87/2.16  Axiom 6 (hyp287): q28 = queue_127.
% 13.87/2.16  Axiom 7 (hyp268): q10 = queue_13.
% 13.87/2.16  Axiom 8 (hyp288): q29 = queue_133.
% 13.87/2.16  Axiom 9 (hyp289): q3 = queue_139.
% 13.87/2.16  Axiom 10 (hyp290): q30 = queue_145.
% 13.87/2.16  Axiom 11 (hyp291): q31 = queue_151.
% 13.87/2.16  Axiom 12 (hyp292): q32 = queue_157.
% 13.87/2.16  Axiom 13 (hyp293): q33 = queue_163.
% 13.87/2.16  Axiom 14 (hyp294): q34 = queue_169.
% 13.87/2.16  Axiom 15 (hyp295): q35 = queue_175.
% 13.87/2.16  Axiom 16 (hyp296): q36 = queue_181.
% 13.87/2.16  Axiom 17 (hyp297): q37 = queue_187.
% 13.87/2.16  Axiom 18 (hyp269): q11 = queue_19.
% 13.87/2.16  Axiom 19 (hyp298): q38 = queue_193.
% 13.87/2.16  Axiom 20 (hyp299): q39 = queue_199.
% 13.87/2.16  Axiom 21 (hyp300): q4 = queue_205.
% 13.87/2.16  Axiom 22 (hyp301): q40 = queue_211.
% 13.87/2.16  Axiom 23 (hyp302): q41 = queue_217.
% 13.87/2.16  Axiom 24 (hyp303): q42 = queue_223.
% 13.87/2.16  Axiom 25 (hyp304): q43 = queue_229.
% 13.87/2.16  Axiom 26 (hyp305): q5 = queue_235.
% 13.87/2.16  Axiom 27 (hyp306): q6 = queue_241.
% 13.87/2.16  Axiom 28 (hyp307): q7 = queue_247.
% 13.87/2.16  Axiom 29 (hyp270): q12 = queue_25.
% 13.87/2.16  Axiom 30 (hyp308): q8 = queue_253.
% 13.87/2.16  Axiom 31 (hyp309): q9 = queue_259.
% 13.87/2.16  Axiom 32 (hyp271): q13 = queue_31.
% 13.87/2.16  Axiom 33 (hyp272): q14 = queue_37.
% 13.87/2.16  Axiom 34 (hyp273): q15 = queue_43.
% 13.87/2.16  Axiom 35 (hyp274): q16 = queue_49.
% 13.87/2.16  Axiom 36 (hyp275): q17 = queue_55.
% 13.87/2.16  Axiom 37 (hyp276): q18 = queue_61.
% 13.87/2.16  Axiom 38 (hyp277): q19 = queue_67.
% 13.87/2.16  Axiom 39 (hyp267): q1 = queue_7.
% 13.87/2.16  Axiom 40 (hyp278): q2 = queue_73.
% 13.87/2.16  Axiom 41 (hyp279): q20 = queue_79.
% 13.87/2.16  Axiom 42 (hyp280): q21 = queue_85.
% 13.87/2.16  Axiom 43 (hyp281): q22 = queue_91.
% 13.87/2.16  Axiom 44 (hyp282): q23 = queue_97.
% 13.87/2.16  Axiom 45 (hyp96): index_12 = s(index_9).
% 13.87/2.16  Axiom 46 (hyp90): index_102 = s(index_99).
% 13.87/2.16  Axiom 47 (hyp92): index_108 = s(index_105).
% 13.87/2.16  Axiom 48 (hyp94): index_114 = s(index_111).
% 13.87/2.16  Axiom 49 (hyp97): index_120 = s(index_117).
% 13.87/2.16  Axiom 50 (hyp99): index_126 = s(index_123).
% 13.87/2.16  Axiom 51 (hyp101): index_132 = s(index_129).
% 13.87/2.16  Axiom 52 (hyp103): index_138 = s(index_135).
% 13.87/2.16  Axiom 53 (hyp105): index_144 = s(index_141).
% 13.87/2.16  Axiom 54 (hyp108): index_150 = s(index_147).
% 13.87/2.16  Axiom 55 (hyp110): index_156 = s(index_153).
% 13.87/2.16  Axiom 56 (hyp118): index_18 = s(index_15).
% 13.87/2.16  Axiom 57 (hyp112): index_162 = s(index_159).
% 13.87/2.16  Axiom 58 (hyp114): index_168 = s(index_165).
% 13.87/2.16  Axiom 59 (hyp116): index_174 = s(index_171).
% 13.87/2.16  Axiom 60 (hyp119): index_180 = s(index_177).
% 13.87/2.16  Axiom 61 (hyp121): index_186 = s(index_183).
% 13.87/2.16  Axiom 62 (hyp123): index_192 = s(index_189).
% 13.87/2.16  Axiom 63 (hyp125): index_198 = s(index_195).
% 13.87/2.16  Axiom 64 (hyp127): index_204 = s(index_201).
% 13.87/2.16  Axiom 65 (hyp130): index_210 = s(index_207).
% 13.87/2.16  Axiom 66 (hyp132): index_216 = s(index_213).
% 13.87/2.16  Axiom 67 (hyp140): index_24 = s(index_21).
% 13.87/2.16  Axiom 68 (hyp134): index_222 = s(index_219).
% 13.87/2.16  Axiom 69 (hyp136): index_228 = s(index_225).
% 13.87/2.16  Axiom 70 (hyp138): index_234 = s(index_231).
% 13.87/2.16  Axiom 71 (hyp141): index_240 = s(index_237).
% 13.87/2.16  Axiom 72 (hyp143): index_246 = s(index_243).
% 13.87/2.16  Axiom 73 (hyp145): index_252 = s(index_249).
% 13.87/2.16  Axiom 74 (hyp147): index_258 = s(index_255).
% 13.87/2.16  Axiom 75 (hyp153): index_30 = s(index_27).
% 13.87/2.16  Axiom 76 (hyp155): index_36 = s(index_33).
% 13.87/2.16  Axiom 77 (hyp163): index_6 = s(index_3).
% 13.87/2.16  Axiom 78 (hyp157): index_42 = s(index_39).
% 13.87/2.16  Axiom 79 (hyp159): index_48 = s(index_45).
% 13.87/2.16  Axiom 80 (hyp161): index_54 = s(index_51).
% 13.87/2.16  Axiom 81 (hyp164): index_60 = s(index_57).
% 13.87/2.16  Axiom 82 (hyp166): index_66 = s(index_63).
% 13.87/2.17  Axiom 83 (hyp168): index_72 = s(index_69).
% 13.87/2.17  Axiom 84 (hyp170): index_78 = s(index_75).
% 13.87/2.17  Axiom 85 (hyp172): index_84 = s(index_81).
% 13.87/2.17  Axiom 86 (hyp175): index_90 = s(index_87).
% 13.87/2.17  Axiom 87 (hyp177): index_96 = s(index_93).
% 13.87/2.17  Axiom 88 (hyp150): s(index_264) = index_263.
% 13.87/2.17  Axiom 89 (hyp91): index_105 = rselect_tail(q24).
% 13.87/2.17  Axiom 90 (hyp93): index_111 = rselect_tail(q25).
% 13.87/2.17  Axiom 91 (hyp95): index_117 = rselect_tail(q26).
% 13.87/2.17  Axiom 92 (hyp98): index_123 = rselect_tail(q27).
% 13.87/2.17  Axiom 93 (hyp100): index_129 = rselect_tail(q28).
% 13.87/2.17  Axiom 94 (hyp102): index_135 = rselect_tail(q2).
% 13.87/2.17  Axiom 95 (hyp107): index_15 = rselect_tail(q10).
% 13.87/2.17  Axiom 96 (hyp104): index_141 = rselect_tail(q29).
% 13.87/2.17  Axiom 97 (hyp106): index_147 = rselect_tail(q30).
% 13.87/2.17  Axiom 98 (hyp109): index_153 = rselect_tail(q31).
% 13.87/2.17  Axiom 99 (hyp111): index_159 = rselect_tail(q32).
% 13.87/2.17  Axiom 100 (hyp113): index_165 = rselect_tail(q33).
% 13.87/2.17  Axiom 101 (hyp115): index_171 = rselect_tail(q34).
% 13.87/2.17  Axiom 102 (hyp117): index_177 = rselect_tail(q35).
% 13.87/2.17  Axiom 103 (hyp120): index_183 = rselect_tail(q36).
% 13.87/2.17  Axiom 104 (hyp122): index_189 = rselect_tail(q37).
% 13.87/2.17  Axiom 105 (hyp124): index_195 = rselect_tail(q38).
% 13.87/2.17  Axiom 106 (hyp152): index_3 = rselect_tail(q0).
% 13.87/2.17  Axiom 107 (hyp129): index_21 = rselect_tail(q11).
% 13.87/2.17  Axiom 108 (hyp126): index_201 = rselect_tail(q3).
% 13.87/2.17  Axiom 109 (hyp128): index_207 = rselect_tail(q39).
% 13.87/2.17  Axiom 110 (hyp131): index_213 = rselect_tail(q40).
% 13.87/2.17  Axiom 111 (hyp133): index_219 = rselect_tail(q41).
% 13.87/2.17  Axiom 112 (hyp135): index_225 = rselect_tail(q42).
% 13.87/2.17  Axiom 113 (hyp137): index_231 = rselect_tail(q4).
% 13.87/2.17  Axiom 114 (hyp139): index_237 = rselect_tail(q5).
% 13.87/2.17  Axiom 115 (hyp142): index_243 = rselect_tail(q6).
% 13.87/2.17  Axiom 116 (hyp144): index_249 = rselect_tail(q7).
% 13.87/2.17  Axiom 117 (hyp146): index_255 = rselect_tail(q8).
% 13.87/2.17  Axiom 118 (hyp151): index_27 = rselect_tail(q12).
% 13.87/2.17  Axiom 119 (hyp149): index_263 = rselect_tail(q43).
% 13.87/2.17  Axiom 120 (hyp154): index_33 = rselect_tail(q13).
% 13.87/2.17  Axiom 121 (hyp156): index_39 = rselect_tail(q14).
% 13.87/2.17  Axiom 122 (hyp158): index_45 = rselect_tail(q15).
% 13.87/2.17  Axiom 123 (hyp160): index_51 = rselect_tail(q16).
% 13.87/2.17  Axiom 124 (hyp162): index_57 = rselect_tail(q17).
% 13.87/2.17  Axiom 125 (hyp165): index_63 = rselect_tail(q18).
% 13.87/2.17  Axiom 126 (hyp167): index_69 = rselect_tail(q1).
% 13.87/2.17  Axiom 127 (hyp169): index_75 = rselect_tail(q19).
% 13.87/2.17  Axiom 128 (hyp174): index_9 = rselect_tail(q9).
% 13.87/2.17  Axiom 129 (hyp171): index_81 = rselect_tail(q20).
% 13.87/2.17  Axiom 130 (hyp173): index_87 = rselect_tail(q21).
% 13.87/2.17  Axiom 131 (hyp176): index_93 = rselect_tail(q22).
% 13.87/2.17  Axiom 132 (hyp178): index_99 = rselect_tail(q23).
% 13.87/2.17  Axiom 133 (hyp89): index_0 = rselect_tail(q).
% 13.87/2.17  Axiom 134 (hyp148): index_261 = rselect_head(q43).
% 13.87/2.17  Axiom 135 (hyp182): queue_107 = rstore_seq(q24, earray_106).
% 13.87/2.17  Axiom 136 (hyp185): queue_113 = rstore_seq(q25, earray_112).
% 13.87/2.17  Axiom 137 (hyp187): queue_119 = rstore_seq(q26, earray_118).
% 13.87/2.17  Axiom 138 (hyp189): queue_125 = rstore_seq(q27, earray_124).
% 13.87/2.17  Axiom 139 (hyp192): queue_131 = rstore_seq(q28, earray_130).
% 13.87/2.17  Axiom 140 (hyp194): queue_137 = rstore_seq(q2, earray_136).
% 13.87/2.17  Axiom 141 (hyp206): queue_17 = rstore_seq(q10, earray_16).
% 13.87/2.17  Axiom 142 (hyp196): queue_143 = rstore_seq(q29, earray_142).
% 13.87/2.17  Axiom 143 (hyp198): queue_149 = rstore_seq(q30, earray_148).
% 13.87/2.17  Axiom 144 (hyp200): queue_155 = rstore_seq(q31, earray_154).
% 13.87/2.17  Axiom 145 (hyp202): queue_161 = rstore_seq(q32, earray_160).
% 13.87/2.17  Axiom 146 (hyp204): queue_167 = rstore_seq(q33, earray_166).
% 13.87/2.17  Axiom 147 (hyp207): queue_173 = rstore_seq(q34, earray_172).
% 13.87/2.17  Axiom 148 (hyp209): queue_179 = rstore_seq(q35, earray_178).
% 13.87/2.17  Axiom 149 (hyp211): queue_185 = rstore_seq(q36, earray_184).
% 13.87/2.17  Axiom 150 (hyp214): queue_191 = rstore_seq(q37, earray_190).
% 13.87/2.17  Axiom 151 (hyp216): queue_197 = rstore_seq(q38, earray_196).
% 13.87/2.17  Axiom 152 (hyp248): queue_5 = rstore_seq(q0, earray_4).
% 13.87/2.17  Axiom 153 (hyp228): queue_23 = rstore_seq(q11, earray_22).
% 13.87/2.17  Axiom 154 (hyp218): queue_203 = rstore_seq(q3, earray_202).
% 13.87/2.17  Axiom 155 (hyp220): queue_209 = rstore_seq(q39, earray_208).
% 13.87/2.17  Axiom 156 (hyp222): queue_215 = rstore_seq(q40, earray_214).
% 13.87/2.17  Axiom 157 (hyp224): queue_221 = rstore_seq(q41, earray_220).
% 13.87/2.17  Axiom 158 (hyp226): queue_227 = rstore_seq(q42, earray_226).
% 13.87/2.17  Axiom 159 (hyp229): queue_233 = rstore_seq(q4, earray_232).
% 13.87/2.17  Axiom 160 (hyp231): queue_239 = rstore_seq(q5, earray_238).
% 13.87/2.17  Axiom 161 (hyp233): queue_245 = rstore_seq(q6, earray_244).
% 13.87/2.17  Axiom 162 (hyp236): queue_251 = rstore_seq(q7, earray_250).
% 13.87/2.17  Axiom 163 (hyp238): queue_257 = rstore_seq(q8, earray_256).
% 13.87/2.17  Axiom 164 (hyp240): queue_29 = rstore_seq(q12, earray_28).
% 13.87/2.17  Axiom 165 (hyp242): queue_35 = rstore_seq(q13, earray_34).
% 13.87/2.17  Axiom 166 (hyp244): queue_41 = rstore_seq(q14, earray_40).
% 13.87/2.17  Axiom 167 (hyp246): queue_47 = rstore_seq(q15, earray_46).
% 13.87/2.17  Axiom 168 (hyp249): queue_53 = rstore_seq(q16, earray_52).
% 13.87/2.17  Axiom 169 (hyp251): queue_59 = rstore_seq(q17, earray_58).
% 13.87/2.17  Axiom 170 (hyp253): queue_65 = rstore_seq(q18, earray_64).
% 13.87/2.17  Axiom 171 (hyp256): queue_71 = rstore_seq(q1, earray_70).
% 13.87/2.17  Axiom 172 (hyp258): queue_77 = rstore_seq(q19, earray_76).
% 13.87/2.17  Axiom 173 (hyp184): queue_11 = rstore_seq(q9, earray_10).
% 13.87/2.17  Axiom 174 (hyp260): queue_83 = rstore_seq(q20, earray_82).
% 13.87/2.17  Axiom 175 (hyp262): queue_89 = rstore_seq(q21, earray_88).
% 13.87/2.17  Axiom 176 (hyp264): queue_95 = rstore_seq(q22, earray_94).
% 13.87/2.17  Axiom 177 (hyp180): queue_101 = rstore_seq(q23, earray_100).
% 13.87/2.17  Axiom 178 (hyp181): queue_103 = rstore_tail(queue_101, index_102).
% 13.87/2.17  Axiom 179 (hyp183): queue_109 = rstore_tail(queue_107, index_108).
% 13.87/2.17  Axiom 180 (hyp191): queue_13 = rstore_tail(queue_11, index_12).
% 13.87/2.17  Axiom 181 (hyp186): queue_115 = rstore_tail(queue_113, index_114).
% 13.87/2.17  Axiom 182 (hyp188): queue_121 = rstore_tail(queue_119, index_120).
% 13.87/2.17  Axiom 183 (hyp190): queue_127 = rstore_tail(queue_125, index_126).
% 13.87/2.17  Axiom 184 (hyp193): queue_133 = rstore_tail(queue_131, index_132).
% 13.87/2.17  Axiom 185 (hyp195): queue_139 = rstore_tail(queue_137, index_138).
% 13.87/2.17  Axiom 186 (hyp197): queue_145 = rstore_tail(queue_143, index_144).
% 13.87/2.17  Axiom 187 (hyp199): queue_151 = rstore_tail(queue_149, index_150).
% 13.87/2.17  Axiom 188 (hyp201): queue_157 = rstore_tail(queue_155, index_156).
% 13.87/2.17  Axiom 189 (hyp203): queue_163 = rstore_tail(queue_161, index_162).
% 13.87/2.17  Axiom 190 (hyp205): queue_169 = rstore_tail(queue_167, index_168).
% 13.87/2.17  Axiom 191 (hyp213): queue_19 = rstore_tail(queue_17, index_18).
% 13.87/2.17  Axiom 192 (hyp208): queue_175 = rstore_tail(queue_173, index_174).
% 13.87/2.17  Axiom 193 (hyp210): queue_181 = rstore_tail(queue_179, index_180).
% 13.87/2.17  Axiom 194 (hyp212): queue_187 = rstore_tail(queue_185, index_186).
% 13.87/2.17  Axiom 195 (hyp215): queue_193 = rstore_tail(queue_191, index_192).
% 13.87/2.17  Axiom 196 (hyp217): queue_199 = rstore_tail(queue_197, index_198).
% 13.87/2.17  Axiom 197 (hyp219): queue_205 = rstore_tail(queue_203, index_204).
% 13.87/2.17  Axiom 198 (hyp221): queue_211 = rstore_tail(queue_209, index_210).
% 13.87/2.17  Axiom 199 (hyp223): queue_217 = rstore_tail(queue_215, index_216).
% 13.87/2.17  Axiom 200 (hyp225): queue_223 = rstore_tail(queue_221, index_222).
% 13.87/2.17  Axiom 201 (hyp227): queue_229 = rstore_tail(queue_227, index_228).
% 13.87/2.17  Axiom 202 (hyp235): queue_25 = rstore_tail(queue_23, index_24).
% 13.87/2.17  Axiom 203 (hyp230): queue_235 = rstore_tail(queue_233, index_234).
% 13.87/2.17  Axiom 204 (hyp232): queue_241 = rstore_tail(queue_239, index_240).
% 13.87/2.17  Axiom 205 (hyp234): queue_247 = rstore_tail(queue_245, index_246).
% 13.87/2.17  Axiom 206 (hyp237): queue_253 = rstore_tail(queue_251, index_252).
% 13.87/2.17  Axiom 207 (hyp239): queue_259 = rstore_tail(queue_257, index_258).
% 13.87/2.17  Axiom 208 (hyp241): queue_31 = rstore_tail(queue_29, index_30).
% 13.87/2.17  Axiom 209 (hyp243): queue_37 = rstore_tail(queue_35, index_36).
% 13.87/2.17  Axiom 210 (hyp245): queue_43 = rstore_tail(queue_41, index_42).
% 13.87/2.17  Axiom 211 (hyp247): queue_49 = rstore_tail(queue_47, index_48).
% 13.87/2.17  Axiom 212 (hyp255): queue_7 = rstore_tail(queue_5, index_6).
% 13.87/2.17  Axiom 213 (hyp250): queue_55 = rstore_tail(queue_53, index_54).
% 13.87/2.17  Axiom 214 (hyp252): queue_61 = rstore_tail(queue_59, index_60).
% 13.87/2.17  Axiom 215 (hyp254): queue_67 = rstore_tail(queue_65, index_66).
% 13.87/2.17  Axiom 216 (hyp257): queue_73 = rstore_tail(queue_71, index_72).
% 13.87/2.17  Axiom 217 (hyp259): queue_79 = rstore_tail(queue_77, index_78).
% 13.87/2.17  Axiom 218 (hyp261): queue_85 = rstore_tail(queue_83, index_84).
% 13.87/2.17  Axiom 219 (hyp263): queue_91 = rstore_tail(queue_89, index_90).
% 13.87/2.17  Axiom 220 (hyp265): queue_97 = rstore_tail(queue_95, index_96).
% 13.87/2.17  Axiom 221 (hyp179): queue_1 = rstore_head(q, index_0).
% 13.87/2.17  Axiom 222 (hyp87): elem_262 = select(earray_260, index_261).
% 13.87/2.17  Axiom 223 (hyp88): elem_265 = select(earray_260, index_264).
% 13.87/2.17  Axiom 224 (ps): p(s(X)) = X.
% 13.87/2.17  Axiom 225 (circular): s(s(s(X))) = X.
% 13.87/2.17  Axiom 226 (a1_tail): rselect_tail(rstore_tail(X, Y)) = Y.
% 13.87/2.17  Axiom 227 (a2_tail_head): rselect_tail(rstore_head(X, Y)) = rselect_tail(X).
% 13.87/2.17  Axiom 228 (a2_head_seq): rselect_head(rstore_seq(X, Y)) = rselect_head(X).
% 13.87/2.17  Axiom 229 (a2_head_tail): rselect_head(rstore_tail(X, Y)) = rselect_head(X).
% 13.87/2.17  Axiom 230 (a1_head): rselect_head(rstore_head(X, Y)) = Y.
% 13.87/2.17  
% 13.87/2.17  Lemma 231: rstore_head(q, index_0) = q0.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_head(q, index_0)
% 13.87/2.17  = { by axiom 221 (hyp179) R->L }
% 13.87/2.17    queue_1
% 13.87/2.17  = { by axiom 1 (hyp266) R->L }
% 13.87/2.17    q0
% 13.87/2.17  
% 13.87/2.17  Lemma 232: rstore_tail(queue_101, index_102) = q24.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_101, index_102)
% 13.87/2.17  = { by axiom 178 (hyp181) R->L }
% 13.87/2.17    queue_103
% 13.87/2.17  = { by axiom 2 (hyp283) R->L }
% 13.87/2.17    q24
% 13.87/2.17  
% 13.87/2.17  Lemma 233: rstore_tail(queue_107, index_108) = q25.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_107, index_108)
% 13.87/2.17  = { by axiom 179 (hyp183) R->L }
% 13.87/2.17    queue_109
% 13.87/2.17  = { by axiom 3 (hyp284) R->L }
% 13.87/2.17    q25
% 13.87/2.17  
% 13.87/2.17  Lemma 234: rstore_tail(queue_11, index_12) = q10.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_11, index_12)
% 13.87/2.17  = { by axiom 180 (hyp191) R->L }
% 13.87/2.17    queue_13
% 13.87/2.17  = { by axiom 7 (hyp268) R->L }
% 13.87/2.17    q10
% 13.87/2.17  
% 13.87/2.17  Lemma 235: rstore_tail(queue_113, index_114) = q26.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_113, index_114)
% 13.87/2.17  = { by axiom 181 (hyp186) R->L }
% 13.87/2.17    queue_115
% 13.87/2.17  = { by axiom 4 (hyp285) R->L }
% 13.87/2.17    q26
% 13.87/2.17  
% 13.87/2.17  Lemma 236: rstore_tail(queue_119, index_120) = q27.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_119, index_120)
% 13.87/2.17  = { by axiom 182 (hyp188) R->L }
% 13.87/2.17    queue_121
% 13.87/2.17  = { by axiom 5 (hyp286) R->L }
% 13.87/2.17    q27
% 13.87/2.17  
% 13.87/2.17  Lemma 237: rstore_tail(queue_125, index_126) = q28.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_125, index_126)
% 13.87/2.17  = { by axiom 183 (hyp190) R->L }
% 13.87/2.17    queue_127
% 13.87/2.17  = { by axiom 6 (hyp287) R->L }
% 13.87/2.17    q28
% 13.87/2.17  
% 13.87/2.17  Lemma 238: rstore_tail(queue_131, index_132) = q29.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_131, index_132)
% 13.87/2.17  = { by axiom 184 (hyp193) R->L }
% 13.87/2.17    queue_133
% 13.87/2.17  = { by axiom 8 (hyp288) R->L }
% 13.87/2.17    q29
% 13.87/2.17  
% 13.87/2.17  Lemma 239: rstore_tail(queue_137, index_138) = q3.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_137, index_138)
% 13.87/2.17  = { by axiom 185 (hyp195) R->L }
% 13.87/2.17    queue_139
% 13.87/2.17  = { by axiom 9 (hyp289) R->L }
% 13.87/2.17    q3
% 13.87/2.17  
% 13.87/2.17  Lemma 240: rstore_tail(queue_143, index_144) = q30.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_143, index_144)
% 13.87/2.17  = { by axiom 186 (hyp197) R->L }
% 13.87/2.17    queue_145
% 13.87/2.17  = { by axiom 10 (hyp290) R->L }
% 13.87/2.17    q30
% 13.87/2.17  
% 13.87/2.17  Lemma 241: rstore_tail(queue_149, index_150) = q31.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_149, index_150)
% 13.87/2.17  = { by axiom 187 (hyp199) R->L }
% 13.87/2.17    queue_151
% 13.87/2.17  = { by axiom 11 (hyp291) R->L }
% 13.87/2.17    q31
% 13.87/2.17  
% 13.87/2.17  Lemma 242: rstore_tail(queue_155, index_156) = q32.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_155, index_156)
% 13.87/2.17  = { by axiom 188 (hyp201) R->L }
% 13.87/2.17    queue_157
% 13.87/2.17  = { by axiom 12 (hyp292) R->L }
% 13.87/2.17    q32
% 13.87/2.17  
% 13.87/2.17  Lemma 243: rstore_tail(queue_161, index_162) = q33.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_161, index_162)
% 13.87/2.17  = { by axiom 189 (hyp203) R->L }
% 13.87/2.17    queue_163
% 13.87/2.17  = { by axiom 13 (hyp293) R->L }
% 13.87/2.17    q33
% 13.87/2.17  
% 13.87/2.17  Lemma 244: rstore_tail(queue_167, index_168) = q34.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_167, index_168)
% 13.87/2.17  = { by axiom 190 (hyp205) R->L }
% 13.87/2.17    queue_169
% 13.87/2.17  = { by axiom 14 (hyp294) R->L }
% 13.87/2.17    q34
% 13.87/2.17  
% 13.87/2.17  Lemma 245: rstore_tail(queue_17, index_18) = q11.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_17, index_18)
% 13.87/2.17  = { by axiom 191 (hyp213) R->L }
% 13.87/2.17    queue_19
% 13.87/2.17  = { by axiom 18 (hyp269) R->L }
% 13.87/2.17    q11
% 13.87/2.17  
% 13.87/2.17  Lemma 246: rstore_tail(queue_173, index_174) = q35.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_173, index_174)
% 13.87/2.17  = { by axiom 192 (hyp208) R->L }
% 13.87/2.17    queue_175
% 13.87/2.17  = { by axiom 15 (hyp295) R->L }
% 13.87/2.17    q35
% 13.87/2.17  
% 13.87/2.17  Lemma 247: rstore_tail(queue_179, index_180) = q36.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_179, index_180)
% 13.87/2.17  = { by axiom 193 (hyp210) R->L }
% 13.87/2.17    queue_181
% 13.87/2.17  = { by axiom 16 (hyp296) R->L }
% 13.87/2.17    q36
% 13.87/2.17  
% 13.87/2.17  Lemma 248: rstore_tail(queue_185, index_186) = q37.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_185, index_186)
% 13.87/2.17  = { by axiom 194 (hyp212) R->L }
% 13.87/2.17    queue_187
% 13.87/2.17  = { by axiom 17 (hyp297) R->L }
% 13.87/2.17    q37
% 13.87/2.17  
% 13.87/2.17  Lemma 249: rstore_tail(queue_191, index_192) = q38.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_191, index_192)
% 13.87/2.17  = { by axiom 195 (hyp215) R->L }
% 13.87/2.17    queue_193
% 13.87/2.17  = { by axiom 19 (hyp298) R->L }
% 13.87/2.17    q38
% 13.87/2.17  
% 13.87/2.17  Lemma 250: rstore_tail(queue_197, index_198) = q39.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_197, index_198)
% 13.87/2.17  = { by axiom 196 (hyp217) R->L }
% 13.87/2.17    queue_199
% 13.87/2.17  = { by axiom 20 (hyp299) R->L }
% 13.87/2.17    q39
% 13.87/2.17  
% 13.87/2.17  Lemma 251: rstore_tail(queue_203, index_204) = q4.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_203, index_204)
% 13.87/2.17  = { by axiom 197 (hyp219) R->L }
% 13.87/2.17    queue_205
% 13.87/2.17  = { by axiom 21 (hyp300) R->L }
% 13.87/2.17    q4
% 13.87/2.17  
% 13.87/2.17  Lemma 252: rstore_tail(queue_209, index_210) = q40.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_209, index_210)
% 13.87/2.17  = { by axiom 198 (hyp221) R->L }
% 13.87/2.17    queue_211
% 13.87/2.17  = { by axiom 22 (hyp301) R->L }
% 13.87/2.17    q40
% 13.87/2.17  
% 13.87/2.17  Lemma 253: rstore_tail(queue_215, index_216) = q41.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_215, index_216)
% 13.87/2.17  = { by axiom 199 (hyp223) R->L }
% 13.87/2.17    queue_217
% 13.87/2.17  = { by axiom 23 (hyp302) R->L }
% 13.87/2.17    q41
% 13.87/2.17  
% 13.87/2.17  Lemma 254: rstore_tail(queue_221, index_222) = q42.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_221, index_222)
% 13.87/2.17  = { by axiom 200 (hyp225) R->L }
% 13.87/2.17    queue_223
% 13.87/2.17  = { by axiom 24 (hyp303) R->L }
% 13.87/2.17    q42
% 13.87/2.17  
% 13.87/2.17  Lemma 255: rstore_tail(queue_227, index_228) = q43.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_227, index_228)
% 13.87/2.17  = { by axiom 201 (hyp227) R->L }
% 13.87/2.17    queue_229
% 13.87/2.17  = { by axiom 25 (hyp304) R->L }
% 13.87/2.17    q43
% 13.87/2.17  
% 13.87/2.17  Lemma 256: rstore_tail(queue_23, index_24) = q12.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_23, index_24)
% 13.87/2.17  = { by axiom 202 (hyp235) R->L }
% 13.87/2.17    queue_25
% 13.87/2.17  = { by axiom 29 (hyp270) R->L }
% 13.87/2.17    q12
% 13.87/2.17  
% 13.87/2.17  Lemma 257: rstore_tail(queue_233, index_234) = q5.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_233, index_234)
% 13.87/2.17  = { by axiom 203 (hyp230) R->L }
% 13.87/2.17    queue_235
% 13.87/2.17  = { by axiom 26 (hyp305) R->L }
% 13.87/2.17    q5
% 13.87/2.17  
% 13.87/2.17  Lemma 258: rstore_tail(queue_239, index_240) = q6.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_239, index_240)
% 13.87/2.17  = { by axiom 204 (hyp232) R->L }
% 13.87/2.17    queue_241
% 13.87/2.17  = { by axiom 27 (hyp306) R->L }
% 13.87/2.17    q6
% 13.87/2.17  
% 13.87/2.17  Lemma 259: rstore_tail(queue_245, index_246) = q7.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_245, index_246)
% 13.87/2.17  = { by axiom 205 (hyp234) R->L }
% 13.87/2.17    queue_247
% 13.87/2.17  = { by axiom 28 (hyp307) R->L }
% 13.87/2.17    q7
% 13.87/2.17  
% 13.87/2.17  Lemma 260: rstore_tail(queue_251, index_252) = q8.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_251, index_252)
% 13.87/2.17  = { by axiom 206 (hyp237) R->L }
% 13.87/2.17    queue_253
% 13.87/2.17  = { by axiom 30 (hyp308) R->L }
% 13.87/2.17    q8
% 13.87/2.17  
% 13.87/2.17  Lemma 261: rstore_tail(queue_257, index_258) = q9.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_257, index_258)
% 13.87/2.17  = { by axiom 207 (hyp239) R->L }
% 13.87/2.17    queue_259
% 13.87/2.17  = { by axiom 31 (hyp309) R->L }
% 13.87/2.17    q9
% 13.87/2.17  
% 13.87/2.17  Lemma 262: rstore_tail(queue_29, index_30) = q13.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_29, index_30)
% 13.87/2.17  = { by axiom 208 (hyp241) R->L }
% 13.87/2.17    queue_31
% 13.87/2.17  = { by axiom 32 (hyp271) R->L }
% 13.87/2.17    q13
% 13.87/2.17  
% 13.87/2.17  Lemma 263: rstore_tail(queue_35, index_36) = q14.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_35, index_36)
% 13.87/2.17  = { by axiom 209 (hyp243) R->L }
% 13.87/2.17    queue_37
% 13.87/2.17  = { by axiom 33 (hyp272) R->L }
% 13.87/2.17    q14
% 13.87/2.17  
% 13.87/2.17  Lemma 264: rstore_tail(queue_41, index_42) = q15.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_41, index_42)
% 13.87/2.17  = { by axiom 210 (hyp245) R->L }
% 13.87/2.17    queue_43
% 13.87/2.17  = { by axiom 34 (hyp273) R->L }
% 13.87/2.17    q15
% 13.87/2.17  
% 13.87/2.17  Lemma 265: rstore_tail(queue_47, index_48) = q16.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_47, index_48)
% 13.87/2.17  = { by axiom 211 (hyp247) R->L }
% 13.87/2.17    queue_49
% 13.87/2.17  = { by axiom 35 (hyp274) R->L }
% 13.87/2.17    q16
% 13.87/2.17  
% 13.87/2.17  Lemma 266: rstore_tail(queue_5, index_6) = q1.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_5, index_6)
% 13.87/2.17  = { by axiom 212 (hyp255) R->L }
% 13.87/2.17    queue_7
% 13.87/2.17  = { by axiom 39 (hyp267) R->L }
% 13.87/2.17    q1
% 13.87/2.17  
% 13.87/2.17  Lemma 267: rstore_tail(queue_53, index_54) = q17.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_53, index_54)
% 13.87/2.17  = { by axiom 213 (hyp250) R->L }
% 13.87/2.17    queue_55
% 13.87/2.17  = { by axiom 36 (hyp275) R->L }
% 13.87/2.17    q17
% 13.87/2.17  
% 13.87/2.17  Lemma 268: rstore_tail(queue_59, index_60) = q18.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_59, index_60)
% 13.87/2.17  = { by axiom 214 (hyp252) R->L }
% 13.87/2.17    queue_61
% 13.87/2.17  = { by axiom 37 (hyp276) R->L }
% 13.87/2.17    q18
% 13.87/2.17  
% 13.87/2.17  Lemma 269: rstore_tail(queue_65, index_66) = q19.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_65, index_66)
% 13.87/2.17  = { by axiom 215 (hyp254) R->L }
% 13.87/2.17    queue_67
% 13.87/2.17  = { by axiom 38 (hyp277) R->L }
% 13.87/2.17    q19
% 13.87/2.17  
% 13.87/2.17  Lemma 270: rstore_tail(queue_71, index_72) = q2.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_71, index_72)
% 13.87/2.17  = { by axiom 216 (hyp257) R->L }
% 13.87/2.17    queue_73
% 13.87/2.17  = { by axiom 40 (hyp278) R->L }
% 13.87/2.17    q2
% 13.87/2.17  
% 13.87/2.17  Lemma 271: rstore_tail(queue_77, index_78) = q20.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_77, index_78)
% 13.87/2.17  = { by axiom 217 (hyp259) R->L }
% 13.87/2.17    queue_79
% 13.87/2.17  = { by axiom 41 (hyp279) R->L }
% 13.87/2.17    q20
% 13.87/2.17  
% 13.87/2.17  Lemma 272: rstore_tail(queue_83, index_84) = q21.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_83, index_84)
% 13.87/2.17  = { by axiom 218 (hyp261) R->L }
% 13.87/2.17    queue_85
% 13.87/2.17  = { by axiom 42 (hyp280) R->L }
% 13.87/2.17    q21
% 13.87/2.17  
% 13.87/2.17  Lemma 273: rstore_tail(queue_89, index_90) = q22.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_89, index_90)
% 13.87/2.17  = { by axiom 219 (hyp263) R->L }
% 13.87/2.17    queue_91
% 13.87/2.17  = { by axiom 43 (hyp281) R->L }
% 13.87/2.17    q22
% 13.87/2.17  
% 13.87/2.17  Lemma 274: rstore_tail(queue_95, index_96) = q23.
% 13.87/2.17  Proof:
% 13.87/2.17    rstore_tail(queue_95, index_96)
% 13.87/2.17  = { by axiom 220 (hyp265) R->L }
% 13.87/2.17    queue_97
% 13.87/2.17  = { by axiom 44 (hyp282) R->L }
% 13.87/2.18    q23
% 13.87/2.18  
% 13.87/2.18  Goal 1 (goal): elem_262 = elem_265.
% 13.87/2.18  Proof:
% 13.87/2.18    elem_262
% 13.87/2.18  = { by axiom 222 (hyp87) }
% 13.87/2.18    select(earray_260, index_261)
% 13.87/2.18  = { by axiom 134 (hyp148) }
% 13.87/2.18    select(earray_260, rselect_head(q43))
% 13.87/2.18  = { by lemma 255 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_227, index_228)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_227))
% 13.87/2.18  = { by axiom 158 (hyp226) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q42, earray_226)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q42))
% 13.87/2.18  = { by lemma 254 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_221, index_222)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_221))
% 13.87/2.18  = { by axiom 157 (hyp224) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q41, earray_220)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q41))
% 13.87/2.18  = { by lemma 253 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_215, index_216)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_215))
% 13.87/2.18  = { by axiom 156 (hyp222) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q40, earray_214)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q40))
% 13.87/2.18  = { by lemma 252 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_209, index_210)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_209))
% 13.87/2.18  = { by axiom 155 (hyp220) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q39, earray_208)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q39))
% 13.87/2.18  = { by lemma 250 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_197, index_198)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_197))
% 13.87/2.18  = { by axiom 151 (hyp216) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q38, earray_196)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q38))
% 13.87/2.18  = { by lemma 249 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_191, index_192)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_191))
% 13.87/2.18  = { by axiom 150 (hyp214) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q37, earray_190)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q37))
% 13.87/2.18  = { by lemma 248 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_185, index_186)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_185))
% 13.87/2.18  = { by axiom 149 (hyp211) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q36, earray_184)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q36))
% 13.87/2.18  = { by lemma 247 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_179, index_180)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_179))
% 13.87/2.18  = { by axiom 148 (hyp209) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q35, earray_178)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q35))
% 13.87/2.18  = { by lemma 246 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_173, index_174)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_173))
% 13.87/2.18  = { by axiom 147 (hyp207) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q34, earray_172)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q34))
% 13.87/2.18  = { by lemma 244 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_167, index_168)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_167))
% 13.87/2.18  = { by axiom 146 (hyp204) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q33, earray_166)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q33))
% 13.87/2.18  = { by lemma 243 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_161, index_162)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_161))
% 13.87/2.18  = { by axiom 145 (hyp202) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q32, earray_160)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q32))
% 13.87/2.18  = { by lemma 242 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_155, index_156)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_155))
% 13.87/2.18  = { by axiom 144 (hyp200) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q31, earray_154)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q31))
% 13.87/2.18  = { by lemma 241 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_149, index_150)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_149))
% 13.87/2.18  = { by axiom 143 (hyp198) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q30, earray_148)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q30))
% 13.87/2.18  = { by lemma 240 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_143, index_144)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_143))
% 13.87/2.18  = { by axiom 142 (hyp196) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q29, earray_142)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q29))
% 13.87/2.18  = { by lemma 238 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_131, index_132)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_131))
% 13.87/2.18  = { by axiom 139 (hyp192) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q28, earray_130)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q28))
% 13.87/2.18  = { by lemma 237 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_125, index_126)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_125))
% 13.87/2.18  = { by axiom 138 (hyp189) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q27, earray_124)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q27))
% 13.87/2.18  = { by lemma 236 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_119, index_120)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_119))
% 13.87/2.18  = { by axiom 137 (hyp187) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q26, earray_118)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q26))
% 13.87/2.18  = { by lemma 235 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_113, index_114)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_113))
% 13.87/2.18  = { by axiom 136 (hyp185) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q25, earray_112)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q25))
% 13.87/2.18  = { by lemma 233 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_107, index_108)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_107))
% 13.87/2.18  = { by axiom 135 (hyp182) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q24, earray_106)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q24))
% 13.87/2.18  = { by lemma 232 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_101, index_102)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_101))
% 13.87/2.18  = { by axiom 177 (hyp180) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q23, earray_100)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q23))
% 13.87/2.18  = { by lemma 274 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_95, index_96)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_95))
% 13.87/2.18  = { by axiom 176 (hyp264) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q22, earray_94)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q22))
% 13.87/2.18  = { by lemma 273 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_89, index_90)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_89))
% 13.87/2.18  = { by axiom 175 (hyp262) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q21, earray_88)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q21))
% 13.87/2.18  = { by lemma 272 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_83, index_84)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_83))
% 13.87/2.18  = { by axiom 174 (hyp260) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q20, earray_82)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q20))
% 13.87/2.18  = { by lemma 271 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_77, index_78)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_77))
% 13.87/2.18  = { by axiom 172 (hyp258) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q19, earray_76)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q19))
% 13.87/2.18  = { by lemma 269 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_65, index_66)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_65))
% 13.87/2.18  = { by axiom 170 (hyp253) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q18, earray_64)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q18))
% 13.87/2.18  = { by lemma 268 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_59, index_60)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_59))
% 13.87/2.18  = { by axiom 169 (hyp251) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q17, earray_58)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q17))
% 13.87/2.18  = { by lemma 267 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_53, index_54)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_53))
% 13.87/2.18  = { by axiom 168 (hyp249) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q16, earray_52)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q16))
% 13.87/2.18  = { by lemma 265 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_47, index_48)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_47))
% 13.87/2.18  = { by axiom 167 (hyp246) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q15, earray_46)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q15))
% 13.87/2.18  = { by lemma 264 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_41, index_42)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_41))
% 13.87/2.18  = { by axiom 166 (hyp244) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q14, earray_40)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q14))
% 13.87/2.18  = { by lemma 263 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_35, index_36)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_35))
% 13.87/2.18  = { by axiom 165 (hyp242) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q13, earray_34)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q13))
% 13.87/2.18  = { by lemma 262 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_29, index_30)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_29))
% 13.87/2.18  = { by axiom 164 (hyp240) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q12, earray_28)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q12))
% 13.87/2.18  = { by lemma 256 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_23, index_24)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_23))
% 13.87/2.18  = { by axiom 153 (hyp228) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q11, earray_22)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q11))
% 13.87/2.18  = { by lemma 245 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_17, index_18)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_17))
% 13.87/2.18  = { by axiom 141 (hyp206) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q10, earray_16)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q10))
% 13.87/2.18  = { by lemma 234 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_11, index_12)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_11))
% 13.87/2.18  = { by axiom 173 (hyp184) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q9, earray_10)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q9))
% 13.87/2.18  = { by lemma 261 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_257, index_258)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_257))
% 13.87/2.18  = { by axiom 163 (hyp238) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q8, earray_256)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q8))
% 13.87/2.18  = { by lemma 260 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_251, index_252)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_251))
% 13.87/2.18  = { by axiom 162 (hyp236) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q7, earray_250)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q7))
% 13.87/2.18  = { by lemma 259 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_245, index_246)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_245))
% 13.87/2.18  = { by axiom 161 (hyp233) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q6, earray_244)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q6))
% 13.87/2.18  = { by lemma 258 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_239, index_240)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_239))
% 13.87/2.18  = { by axiom 160 (hyp231) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q5, earray_238)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q5))
% 13.87/2.18  = { by lemma 257 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_233, index_234)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_233))
% 13.87/2.18  = { by axiom 159 (hyp229) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q4, earray_232)))
% 13.87/2.18  = { by axiom 228 (a2_head_seq) }
% 13.87/2.18    select(earray_260, rselect_head(q4))
% 13.87/2.18  = { by lemma 251 R->L }
% 13.87/2.18    select(earray_260, rselect_head(rstore_tail(queue_203, index_204)))
% 13.87/2.18  = { by axiom 229 (a2_head_tail) }
% 13.87/2.18    select(earray_260, rselect_head(queue_203))
% 13.87/2.18  = { by axiom 154 (hyp218) }
% 13.87/2.18    select(earray_260, rselect_head(rstore_seq(q3, earray_202)))
% 13.87/2.19  = { by axiom 228 (a2_head_seq) }
% 13.87/2.19    select(earray_260, rselect_head(q3))
% 13.87/2.19  = { by lemma 239 R->L }
% 13.87/2.19    select(earray_260, rselect_head(rstore_tail(queue_137, index_138)))
% 13.87/2.19  = { by axiom 229 (a2_head_tail) }
% 13.87/2.19    select(earray_260, rselect_head(queue_137))
% 13.87/2.19  = { by axiom 140 (hyp194) }
% 13.87/2.19    select(earray_260, rselect_head(rstore_seq(q2, earray_136)))
% 13.87/2.19  = { by axiom 228 (a2_head_seq) }
% 13.87/2.19    select(earray_260, rselect_head(q2))
% 13.87/2.19  = { by lemma 270 R->L }
% 13.87/2.19    select(earray_260, rselect_head(rstore_tail(queue_71, index_72)))
% 13.87/2.19  = { by axiom 229 (a2_head_tail) }
% 13.87/2.19    select(earray_260, rselect_head(queue_71))
% 13.87/2.19  = { by axiom 171 (hyp256) }
% 13.87/2.19    select(earray_260, rselect_head(rstore_seq(q1, earray_70)))
% 13.87/2.19  = { by axiom 228 (a2_head_seq) }
% 13.87/2.19    select(earray_260, rselect_head(q1))
% 13.87/2.19  = { by lemma 266 R->L }
% 13.87/2.19    select(earray_260, rselect_head(rstore_tail(queue_5, index_6)))
% 13.87/2.19  = { by axiom 229 (a2_head_tail) }
% 13.87/2.19    select(earray_260, rselect_head(queue_5))
% 13.87/2.19  = { by axiom 152 (hyp248) }
% 13.87/2.19    select(earray_260, rselect_head(rstore_seq(q0, earray_4)))
% 13.87/2.19  = { by axiom 228 (a2_head_seq) }
% 13.87/2.19    select(earray_260, rselect_head(q0))
% 13.87/2.19  = { by lemma 231 R->L }
% 13.87/2.19    select(earray_260, rselect_head(rstore_head(q, index_0)))
% 13.87/2.19  = { by axiom 230 (a1_head) }
% 13.87/2.19    select(earray_260, index_0)
% 13.87/2.19  = { by axiom 133 (hyp89) }
% 13.87/2.19    select(earray_260, rselect_tail(q))
% 13.87/2.19  = { by axiom 227 (a2_tail_head) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_head(q, index_0)))
% 13.87/2.19  = { by lemma 231 }
% 13.87/2.19    select(earray_260, rselect_tail(q0))
% 13.87/2.19  = { by axiom 106 (hyp152) R->L }
% 13.87/2.19    select(earray_260, index_3)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_3))))
% 13.87/2.19  = { by axiom 77 (hyp163) R->L }
% 13.87/2.19    select(earray_260, s(s(index_6)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_5, index_6)))))
% 13.87/2.19  = { by lemma 266 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q1))))
% 13.87/2.19  = { by axiom 126 (hyp167) R->L }
% 13.87/2.19    select(earray_260, s(s(index_69)))
% 13.87/2.19  = { by axiom 83 (hyp168) R->L }
% 13.87/2.19    select(earray_260, s(index_72))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_71, index_72))))
% 13.87/2.19  = { by lemma 270 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q2)))
% 13.87/2.19  = { by axiom 94 (hyp102) R->L }
% 13.87/2.19    select(earray_260, s(index_135))
% 13.87/2.19  = { by axiom 52 (hyp103) R->L }
% 13.87/2.19    select(earray_260, index_138)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_137, index_138)))
% 13.87/2.19  = { by lemma 239 }
% 13.87/2.19    select(earray_260, rselect_tail(q3))
% 13.87/2.19  = { by axiom 108 (hyp126) R->L }
% 13.87/2.19    select(earray_260, index_201)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_201))))
% 13.87/2.19  = { by axiom 64 (hyp127) R->L }
% 13.87/2.19    select(earray_260, s(s(index_204)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_203, index_204)))))
% 13.87/2.19  = { by lemma 251 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q4))))
% 13.87/2.19  = { by axiom 113 (hyp137) R->L }
% 13.87/2.19    select(earray_260, s(s(index_231)))
% 13.87/2.19  = { by axiom 70 (hyp138) R->L }
% 13.87/2.19    select(earray_260, s(index_234))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_233, index_234))))
% 13.87/2.19  = { by lemma 257 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q5)))
% 13.87/2.19  = { by axiom 114 (hyp139) R->L }
% 13.87/2.19    select(earray_260, s(index_237))
% 13.87/2.19  = { by axiom 71 (hyp141) R->L }
% 13.87/2.19    select(earray_260, index_240)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_239, index_240)))
% 13.87/2.19  = { by lemma 258 }
% 13.87/2.19    select(earray_260, rselect_tail(q6))
% 13.87/2.19  = { by axiom 115 (hyp142) R->L }
% 13.87/2.19    select(earray_260, index_243)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_243))))
% 13.87/2.19  = { by axiom 72 (hyp143) R->L }
% 13.87/2.19    select(earray_260, s(s(index_246)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_245, index_246)))))
% 13.87/2.19  = { by lemma 259 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q7))))
% 13.87/2.19  = { by axiom 116 (hyp144) R->L }
% 13.87/2.19    select(earray_260, s(s(index_249)))
% 13.87/2.19  = { by axiom 73 (hyp145) R->L }
% 13.87/2.19    select(earray_260, s(index_252))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_251, index_252))))
% 13.87/2.19  = { by lemma 260 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q8)))
% 13.87/2.19  = { by axiom 117 (hyp146) R->L }
% 13.87/2.19    select(earray_260, s(index_255))
% 13.87/2.19  = { by axiom 74 (hyp147) R->L }
% 13.87/2.19    select(earray_260, index_258)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_257, index_258)))
% 13.87/2.19  = { by lemma 261 }
% 13.87/2.19    select(earray_260, rselect_tail(q9))
% 13.87/2.19  = { by axiom 128 (hyp174) R->L }
% 13.87/2.19    select(earray_260, index_9)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_9))))
% 13.87/2.19  = { by axiom 45 (hyp96) R->L }
% 13.87/2.19    select(earray_260, s(s(index_12)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_11, index_12)))))
% 13.87/2.19  = { by lemma 234 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q10))))
% 13.87/2.19  = { by axiom 95 (hyp107) R->L }
% 13.87/2.19    select(earray_260, s(s(index_15)))
% 13.87/2.19  = { by axiom 56 (hyp118) R->L }
% 13.87/2.19    select(earray_260, s(index_18))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_17, index_18))))
% 13.87/2.19  = { by lemma 245 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q11)))
% 13.87/2.19  = { by axiom 107 (hyp129) R->L }
% 13.87/2.19    select(earray_260, s(index_21))
% 13.87/2.19  = { by axiom 67 (hyp140) R->L }
% 13.87/2.19    select(earray_260, index_24)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_23, index_24)))
% 13.87/2.19  = { by lemma 256 }
% 13.87/2.19    select(earray_260, rselect_tail(q12))
% 13.87/2.19  = { by axiom 118 (hyp151) R->L }
% 13.87/2.19    select(earray_260, index_27)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_27))))
% 13.87/2.19  = { by axiom 75 (hyp153) R->L }
% 13.87/2.19    select(earray_260, s(s(index_30)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_29, index_30)))))
% 13.87/2.19  = { by lemma 262 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q13))))
% 13.87/2.19  = { by axiom 120 (hyp154) R->L }
% 13.87/2.19    select(earray_260, s(s(index_33)))
% 13.87/2.19  = { by axiom 76 (hyp155) R->L }
% 13.87/2.19    select(earray_260, s(index_36))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_35, index_36))))
% 13.87/2.19  = { by lemma 263 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q14)))
% 13.87/2.19  = { by axiom 121 (hyp156) R->L }
% 13.87/2.19    select(earray_260, s(index_39))
% 13.87/2.19  = { by axiom 78 (hyp157) R->L }
% 13.87/2.19    select(earray_260, index_42)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_41, index_42)))
% 13.87/2.19  = { by lemma 264 }
% 13.87/2.19    select(earray_260, rselect_tail(q15))
% 13.87/2.19  = { by axiom 122 (hyp158) R->L }
% 13.87/2.19    select(earray_260, index_45)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_45))))
% 13.87/2.19  = { by axiom 79 (hyp159) R->L }
% 13.87/2.19    select(earray_260, s(s(index_48)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_47, index_48)))))
% 13.87/2.19  = { by lemma 265 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q16))))
% 13.87/2.19  = { by axiom 123 (hyp160) R->L }
% 13.87/2.19    select(earray_260, s(s(index_51)))
% 13.87/2.19  = { by axiom 80 (hyp161) R->L }
% 13.87/2.19    select(earray_260, s(index_54))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_53, index_54))))
% 13.87/2.19  = { by lemma 267 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q17)))
% 13.87/2.19  = { by axiom 124 (hyp162) R->L }
% 13.87/2.19    select(earray_260, s(index_57))
% 13.87/2.19  = { by axiom 81 (hyp164) R->L }
% 13.87/2.19    select(earray_260, index_60)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_59, index_60)))
% 13.87/2.19  = { by lemma 268 }
% 13.87/2.19    select(earray_260, rselect_tail(q18))
% 13.87/2.19  = { by axiom 125 (hyp165) R->L }
% 13.87/2.19    select(earray_260, index_63)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_63))))
% 13.87/2.19  = { by axiom 82 (hyp166) R->L }
% 13.87/2.19    select(earray_260, s(s(index_66)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_65, index_66)))))
% 13.87/2.19  = { by lemma 269 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q19))))
% 13.87/2.19  = { by axiom 127 (hyp169) R->L }
% 13.87/2.19    select(earray_260, s(s(index_75)))
% 13.87/2.19  = { by axiom 84 (hyp170) R->L }
% 13.87/2.19    select(earray_260, s(index_78))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_77, index_78))))
% 13.87/2.19  = { by lemma 271 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q20)))
% 13.87/2.19  = { by axiom 129 (hyp171) R->L }
% 13.87/2.19    select(earray_260, s(index_81))
% 13.87/2.19  = { by axiom 85 (hyp172) R->L }
% 13.87/2.19    select(earray_260, index_84)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_83, index_84)))
% 13.87/2.19  = { by lemma 272 }
% 13.87/2.19    select(earray_260, rselect_tail(q21))
% 13.87/2.19  = { by axiom 130 (hyp173) R->L }
% 13.87/2.19    select(earray_260, index_87)
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, s(s(s(index_87))))
% 13.87/2.19  = { by axiom 86 (hyp175) R->L }
% 13.87/2.19    select(earray_260, s(s(index_90)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(rstore_tail(queue_89, index_90)))))
% 13.87/2.19  = { by lemma 273 }
% 13.87/2.19    select(earray_260, s(s(rselect_tail(q22))))
% 13.87/2.19  = { by axiom 131 (hyp176) R->L }
% 13.87/2.19    select(earray_260, s(s(index_93)))
% 13.87/2.19  = { by axiom 87 (hyp177) R->L }
% 13.87/2.19    select(earray_260, s(index_96))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, s(rselect_tail(rstore_tail(queue_95, index_96))))
% 13.87/2.19  = { by lemma 274 }
% 13.87/2.19    select(earray_260, s(rselect_tail(q23)))
% 13.87/2.19  = { by axiom 132 (hyp178) R->L }
% 13.87/2.19    select(earray_260, s(index_99))
% 13.87/2.19  = { by axiom 46 (hyp90) R->L }
% 13.87/2.19    select(earray_260, index_102)
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, rselect_tail(rstore_tail(queue_101, index_102)))
% 13.87/2.19  = { by lemma 232 }
% 13.87/2.19    select(earray_260, rselect_tail(q24))
% 13.87/2.19  = { by axiom 89 (hyp91) R->L }
% 13.87/2.19    select(earray_260, index_105)
% 13.87/2.19  = { by axiom 224 (ps) R->L }
% 13.87/2.19    select(earray_260, p(s(index_105)))
% 13.87/2.19  = { by axiom 47 (hyp92) R->L }
% 13.87/2.19    select(earray_260, p(index_108))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(rselect_tail(rstore_tail(queue_107, index_108))))
% 13.87/2.19  = { by lemma 233 }
% 13.87/2.19    select(earray_260, p(rselect_tail(q25)))
% 13.87/2.19  = { by axiom 90 (hyp93) R->L }
% 13.87/2.19    select(earray_260, p(index_111))
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, p(s(s(s(index_111)))))
% 13.87/2.19  = { by axiom 48 (hyp94) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_114))))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(rstore_tail(queue_113, index_114))))))
% 13.87/2.19  = { by lemma 235 }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(q26)))))
% 13.87/2.19  = { by axiom 91 (hyp95) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_117))))
% 13.87/2.19  = { by axiom 49 (hyp97) R->L }
% 13.87/2.19    select(earray_260, p(s(index_120)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(rstore_tail(queue_119, index_120)))))
% 13.87/2.19  = { by lemma 236 }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(q27))))
% 13.87/2.19  = { by axiom 92 (hyp98) R->L }
% 13.87/2.19    select(earray_260, p(s(index_123)))
% 13.87/2.19  = { by axiom 50 (hyp99) R->L }
% 13.87/2.19    select(earray_260, p(index_126))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(rselect_tail(rstore_tail(queue_125, index_126))))
% 13.87/2.19  = { by lemma 237 }
% 13.87/2.19    select(earray_260, p(rselect_tail(q28)))
% 13.87/2.19  = { by axiom 93 (hyp100) R->L }
% 13.87/2.19    select(earray_260, p(index_129))
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, p(s(s(s(index_129)))))
% 13.87/2.19  = { by axiom 51 (hyp101) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_132))))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(rstore_tail(queue_131, index_132))))))
% 13.87/2.19  = { by lemma 238 }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(q29)))))
% 13.87/2.19  = { by axiom 96 (hyp104) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_141))))
% 13.87/2.19  = { by axiom 53 (hyp105) R->L }
% 13.87/2.19    select(earray_260, p(s(index_144)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(rstore_tail(queue_143, index_144)))))
% 13.87/2.19  = { by lemma 240 }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(q30))))
% 13.87/2.19  = { by axiom 97 (hyp106) R->L }
% 13.87/2.19    select(earray_260, p(s(index_147)))
% 13.87/2.19  = { by axiom 54 (hyp108) R->L }
% 13.87/2.19    select(earray_260, p(index_150))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(rselect_tail(rstore_tail(queue_149, index_150))))
% 13.87/2.19  = { by lemma 241 }
% 13.87/2.19    select(earray_260, p(rselect_tail(q31)))
% 13.87/2.19  = { by axiom 98 (hyp109) R->L }
% 13.87/2.19    select(earray_260, p(index_153))
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, p(s(s(s(index_153)))))
% 13.87/2.19  = { by axiom 55 (hyp110) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_156))))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(rstore_tail(queue_155, index_156))))))
% 13.87/2.19  = { by lemma 242 }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(q32)))))
% 13.87/2.19  = { by axiom 99 (hyp111) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_159))))
% 13.87/2.19  = { by axiom 57 (hyp112) R->L }
% 13.87/2.19    select(earray_260, p(s(index_162)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(rstore_tail(queue_161, index_162)))))
% 13.87/2.19  = { by lemma 243 }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(q33))))
% 13.87/2.19  = { by axiom 100 (hyp113) R->L }
% 13.87/2.19    select(earray_260, p(s(index_165)))
% 13.87/2.19  = { by axiom 58 (hyp114) R->L }
% 13.87/2.19    select(earray_260, p(index_168))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(rselect_tail(rstore_tail(queue_167, index_168))))
% 13.87/2.19  = { by lemma 244 }
% 13.87/2.19    select(earray_260, p(rselect_tail(q34)))
% 13.87/2.19  = { by axiom 101 (hyp115) R->L }
% 13.87/2.19    select(earray_260, p(index_171))
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, p(s(s(s(index_171)))))
% 13.87/2.19  = { by axiom 59 (hyp116) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_174))))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(rstore_tail(queue_173, index_174))))))
% 13.87/2.19  = { by lemma 246 }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(q35)))))
% 13.87/2.19  = { by axiom 102 (hyp117) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_177))))
% 13.87/2.19  = { by axiom 60 (hyp119) R->L }
% 13.87/2.19    select(earray_260, p(s(index_180)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(rstore_tail(queue_179, index_180)))))
% 13.87/2.19  = { by lemma 247 }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(q36))))
% 13.87/2.19  = { by axiom 103 (hyp120) R->L }
% 13.87/2.19    select(earray_260, p(s(index_183)))
% 13.87/2.19  = { by axiom 61 (hyp121) R->L }
% 13.87/2.19    select(earray_260, p(index_186))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(rselect_tail(rstore_tail(queue_185, index_186))))
% 13.87/2.19  = { by lemma 248 }
% 13.87/2.19    select(earray_260, p(rselect_tail(q37)))
% 13.87/2.19  = { by axiom 104 (hyp122) R->L }
% 13.87/2.19    select(earray_260, p(index_189))
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, p(s(s(s(index_189)))))
% 13.87/2.19  = { by axiom 62 (hyp123) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_192))))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(rstore_tail(queue_191, index_192))))))
% 13.87/2.19  = { by lemma 249 }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(q38)))))
% 13.87/2.19  = { by axiom 105 (hyp124) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_195))))
% 13.87/2.19  = { by axiom 63 (hyp125) R->L }
% 13.87/2.19    select(earray_260, p(s(index_198)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(rstore_tail(queue_197, index_198)))))
% 13.87/2.19  = { by lemma 250 }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(q39))))
% 13.87/2.19  = { by axiom 109 (hyp128) R->L }
% 13.87/2.19    select(earray_260, p(s(index_207)))
% 13.87/2.19  = { by axiom 65 (hyp130) R->L }
% 13.87/2.19    select(earray_260, p(index_210))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(rselect_tail(rstore_tail(queue_209, index_210))))
% 13.87/2.19  = { by lemma 252 }
% 13.87/2.19    select(earray_260, p(rselect_tail(q40)))
% 13.87/2.19  = { by axiom 110 (hyp131) R->L }
% 13.87/2.19    select(earray_260, p(index_213))
% 13.87/2.19  = { by axiom 225 (circular) R->L }
% 13.87/2.19    select(earray_260, p(s(s(s(index_213)))))
% 13.87/2.19  = { by axiom 66 (hyp132) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_216))))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(rstore_tail(queue_215, index_216))))))
% 13.87/2.19  = { by lemma 253 }
% 13.87/2.19    select(earray_260, p(s(s(rselect_tail(q41)))))
% 13.87/2.19  = { by axiom 111 (hyp133) R->L }
% 13.87/2.19    select(earray_260, p(s(s(index_219))))
% 13.87/2.19  = { by axiom 68 (hyp134) R->L }
% 13.87/2.19    select(earray_260, p(s(index_222)))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(rstore_tail(queue_221, index_222)))))
% 13.87/2.19  = { by lemma 254 }
% 13.87/2.19    select(earray_260, p(s(rselect_tail(q42))))
% 13.87/2.19  = { by axiom 112 (hyp135) R->L }
% 13.87/2.19    select(earray_260, p(s(index_225)))
% 13.87/2.19  = { by axiom 69 (hyp136) R->L }
% 13.87/2.19    select(earray_260, p(index_228))
% 13.87/2.19  = { by axiom 226 (a1_tail) R->L }
% 13.87/2.19    select(earray_260, p(rselect_tail(rstore_tail(queue_227, index_228))))
% 13.87/2.19  = { by lemma 255 }
% 13.87/2.19    select(earray_260, p(rselect_tail(q43)))
% 13.87/2.19  = { by axiom 119 (hyp149) R->L }
% 13.87/2.19    select(earray_260, p(index_263))
% 13.87/2.19  = { by axiom 88 (hyp150) R->L }
% 13.87/2.19    select(earray_260, p(s(index_264)))
% 13.87/2.19  = { by axiom 224 (ps) }
% 13.87/2.19    select(earray_260, index_264)
% 13.87/2.19  = { by axiom 223 (hyp88) R->L }
% 13.87/2.19    elem_265
% 13.87/2.19  % SZS output end Proof
% 13.87/2.19  
% 13.87/2.19  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------