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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWV571-1.046 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:13:43 PM UTC 2026

% Result   : Unsatisfiable 23.07s 67.17s
% Output   : Proof 23.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  196
%            Number of leaves      :  178
% Syntax   : Number of formulae    :  979 ( 645 unt;   0 def)
%            Number of atoms       : 1593 (1592 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  633 (  19   ~; 614   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  266 ( 266 usr; 262 con; 0-3 aty)
%            Number of variables   :  185 (   7 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f171,hypothesis,
    index_279 = select(q46,head),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp161) ).

fof(f171_nnf,plain,
    index_279 = select(q46,head),
    inference(nnf_transformation,[status(thm)],[f171]) ).

cnf(c171,plain,
    index_279 = select(q46,head),
    inference(cnf_transformation,[status(esa)],[f171_nnf]) ).

cnf(f335,hypothesis,
    q46 = queue_247,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp325) ).

fof(f335_nnf,plain,
    q46 = queue_247,
    inference(nnf_transformation,[status(thm)],[f335]) ).

cnf(c335,plain,
    q46 = queue_247,
    inference(cnf_transformation,[status(esa)],[f335_nnf]) ).

cnf(f256,hypothesis,
    queue_247 = store(queue_245,tail,index_246),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp246) ).

fof(f256_nnf,plain,
    queue_247 = store(queue_245,tail,index_246),
    inference(nnf_transformation,[status(thm)],[f256]) ).

cnf(c256,plain,
    queue_247 = store(queue_245,tail,index_246),
    inference(cnf_transformation,[status(esa)],[f256_nnf]) ).

cnf(f1,axiom,
    ( select(store(A,I,E),J) = select(A,J)
    | I = J ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f1_nnf,plain,
    ! [I,J,A,E] :
      ( select(store(A,I,E),J) = select(A,J)
      | I = J ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [I,J,A,E] :
      ( select(store(A,I,E),J) = select(A,J)
      | I = J ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( select(store(X2,X0,X3),X1) = select(X2,X1)
    | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p1127,plain,
    ( select(queue_247,X0) = select(queue_245,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c256,c1]) ).

cnf(p3604,plain,
    ( select(q46,X0) = select(queue_245,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c335,p1127]) ).

cnf(p4754,plain,
    ( index_279 = select(queue_245,head)
    | tail = head ),
    inference(superposition,[status(thm)],[c171,p3604]) ).

cnf(f255,hypothesis,
    queue_245 = store(q45,seq,earray_244),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp245) ).

fof(f255_nnf,plain,
    queue_245 = store(q45,seq,earray_244),
    inference(nnf_transformation,[status(thm)],[f255]) ).

cnf(c255,plain,
    queue_245 = store(q45,seq,earray_244),
    inference(cnf_transformation,[status(esa)],[f255_nnf]) ).

cnf(p1125,plain,
    ( select(queue_245,X0) = select(q45,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c255,c1]) ).

cnf(p4756,plain,
    ( index_279 = select(q45,head)
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p4754,p1125]) ).

cnf(f334,hypothesis,
    q45 = queue_241,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp324) ).

fof(f334_nnf,plain,
    q45 = queue_241,
    inference(nnf_transformation,[status(thm)],[f334]) ).

cnf(c334,plain,
    q45 = queue_241,
    inference(cnf_transformation,[status(esa)],[f334_nnf]) ).

cnf(f254,hypothesis,
    queue_241 = store(queue_239,tail,index_240),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp244) ).

fof(f254_nnf,plain,
    queue_241 = store(queue_239,tail,index_240),
    inference(nnf_transformation,[status(thm)],[f254]) ).

cnf(c254,plain,
    queue_241 = store(queue_239,tail,index_240),
    inference(cnf_transformation,[status(esa)],[f254_nnf]) ).

cnf(p1109,plain,
    ( select(queue_241,X0) = select(queue_239,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c254,c1]) ).

cnf(p3597,plain,
    ( select(q45,X0) = select(queue_239,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c334,p1109]) ).

cnf(p5267,plain,
    ( index_279 = select(queue_239,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p4756,p3597]) ).

cnf(p10857,plain,
    ( index_279 = select(queue_239,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p5267]) ).

cnf(f253,hypothesis,
    queue_239 = store(q44,seq,earray_238),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp243) ).

fof(f253_nnf,plain,
    queue_239 = store(q44,seq,earray_238),
    inference(nnf_transformation,[status(thm)],[f253]) ).

cnf(c253,plain,
    queue_239 = store(q44,seq,earray_238),
    inference(cnf_transformation,[status(esa)],[f253_nnf]) ).

cnf(p1103,plain,
    ( select(queue_239,X0) = select(q44,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c253,c1]) ).

cnf(p10859,plain,
    ( index_279 = select(q44,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p10857,p1103]) ).

cnf(p11423,plain,
    ( index_279 = select(q44,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p10859]) ).

cnf(f333,hypothesis,
    q44 = queue_235,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp323) ).

fof(f333_nnf,plain,
    q44 = queue_235,
    inference(nnf_transformation,[status(thm)],[f333]) ).

cnf(c333,plain,
    q44 = queue_235,
    inference(cnf_transformation,[status(esa)],[f333_nnf]) ).

cnf(f252,hypothesis,
    queue_235 = store(queue_233,tail,index_234),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp242) ).

fof(f252_nnf,plain,
    queue_235 = store(queue_233,tail,index_234),
    inference(nnf_transformation,[status(thm)],[f252]) ).

cnf(c252,plain,
    queue_235 = store(queue_233,tail,index_234),
    inference(cnf_transformation,[status(esa)],[f252_nnf]) ).

cnf(p1100,plain,
    ( select(queue_235,X0) = select(queue_233,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c252,c1]) ).

cnf(p3591,plain,
    ( select(q44,X0) = select(queue_233,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c333,p1100]) ).

cnf(p11425,plain,
    ( index_279 = select(queue_233,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11423,p3591]) ).

cnf(p11580,plain,
    ( index_279 = select(queue_233,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11425]) ).

cnf(f251,hypothesis,
    queue_233 = store(q43,seq,earray_232),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp241) ).

fof(f251_nnf,plain,
    queue_233 = store(q43,seq,earray_232),
    inference(nnf_transformation,[status(thm)],[f251]) ).

cnf(c251,plain,
    queue_233 = store(q43,seq,earray_232),
    inference(cnf_transformation,[status(esa)],[f251_nnf]) ).

cnf(p1082,plain,
    ( select(queue_233,X0) = select(q43,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c251,c1]) ).

cnf(p11582,plain,
    ( index_279 = select(q43,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11580,p1082]) ).

cnf(p11641,plain,
    ( index_279 = select(q43,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11582]) ).

cnf(f332,hypothesis,
    q43 = queue_229,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp322) ).

fof(f332_nnf,plain,
    q43 = queue_229,
    inference(nnf_transformation,[status(thm)],[f332]) ).

cnf(c332,plain,
    q43 = queue_229,
    inference(cnf_transformation,[status(esa)],[f332_nnf]) ).

cnf(f249,hypothesis,
    queue_229 = store(queue_227,tail,index_228),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp239) ).

fof(f249_nnf,plain,
    queue_229 = store(queue_227,tail,index_228),
    inference(nnf_transformation,[status(thm)],[f249]) ).

cnf(c249,plain,
    queue_229 = store(queue_227,tail,index_228),
    inference(cnf_transformation,[status(esa)],[f249_nnf]) ).

cnf(p1077,plain,
    ( select(queue_229,X0) = select(queue_227,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c249,c1]) ).

cnf(p3577,plain,
    ( select(q43,X0) = select(queue_227,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c332,p1077]) ).

cnf(p11643,plain,
    ( index_279 = select(queue_227,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11641,p3577]) ).

cnf(p11684,plain,
    ( index_279 = select(queue_227,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11643]) ).

cnf(f248,hypothesis,
    queue_227 = store(q42,seq,earray_226),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp238) ).

fof(f248_nnf,plain,
    queue_227 = store(q42,seq,earray_226),
    inference(nnf_transformation,[status(thm)],[f248]) ).

cnf(c248,plain,
    queue_227 = store(q42,seq,earray_226),
    inference(cnf_transformation,[status(esa)],[f248_nnf]) ).

cnf(p1058,plain,
    ( select(queue_227,X0) = select(q42,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c248,c1]) ).

cnf(p11691,plain,
    ( index_279 = select(q42,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11684,p1058]) ).

cnf(p11733,plain,
    ( index_279 = select(q42,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11691]) ).

cnf(f331,hypothesis,
    q42 = queue_223,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp321) ).

fof(f331_nnf,plain,
    q42 = queue_223,
    inference(nnf_transformation,[status(thm)],[f331]) ).

cnf(c331,plain,
    q42 = queue_223,
    inference(cnf_transformation,[status(esa)],[f331_nnf]) ).

cnf(f247,hypothesis,
    queue_223 = store(queue_221,tail,index_222),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp237) ).

fof(f247_nnf,plain,
    queue_223 = store(queue_221,tail,index_222),
    inference(nnf_transformation,[status(thm)],[f247]) ).

cnf(c247,plain,
    queue_223 = store(queue_221,tail,index_222),
    inference(cnf_transformation,[status(esa)],[f247_nnf]) ).

cnf(p1055,plain,
    ( select(queue_223,X0) = select(queue_221,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c247,c1]) ).

cnf(p3563,plain,
    ( select(q42,X0) = select(queue_221,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c331,p1055]) ).

cnf(p11735,plain,
    ( index_279 = select(queue_221,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11733,p3563]) ).

cnf(p11781,plain,
    ( index_279 = select(queue_221,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11735]) ).

cnf(f246,hypothesis,
    queue_221 = store(q41,seq,earray_220),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp236) ).

fof(f246_nnf,plain,
    queue_221 = store(q41,seq,earray_220),
    inference(nnf_transformation,[status(thm)],[f246]) ).

cnf(c246,plain,
    queue_221 = store(q41,seq,earray_220),
    inference(cnf_transformation,[status(esa)],[f246_nnf]) ).

cnf(p1040,plain,
    ( select(queue_221,X0) = select(q41,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c246,c1]) ).

cnf(p11783,plain,
    ( index_279 = select(q41,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11781,p1040]) ).

cnf(p11816,plain,
    ( index_279 = select(q41,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11783]) ).

cnf(f330,hypothesis,
    q41 = queue_217,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp320) ).

fof(f330_nnf,plain,
    q41 = queue_217,
    inference(nnf_transformation,[status(thm)],[f330]) ).

cnf(c330,plain,
    q41 = queue_217,
    inference(cnf_transformation,[status(esa)],[f330_nnf]) ).

cnf(f245,hypothesis,
    queue_217 = store(queue_215,tail,index_216),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp235) ).

fof(f245_nnf,plain,
    queue_217 = store(queue_215,tail,index_216),
    inference(nnf_transformation,[status(thm)],[f245]) ).

cnf(c245,plain,
    queue_217 = store(queue_215,tail,index_216),
    inference(cnf_transformation,[status(esa)],[f245_nnf]) ).

cnf(p1033,plain,
    ( select(queue_217,X0) = select(queue_215,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c245,c1]) ).

cnf(p3550,plain,
    ( select(q41,X0) = select(queue_215,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c330,p1033]) ).

cnf(p11822,plain,
    ( index_279 = select(queue_215,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11816,p3550]) ).

cnf(p11865,plain,
    ( index_279 = select(queue_215,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11822]) ).

cnf(f244,hypothesis,
    queue_215 = store(q40,seq,earray_214),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp234) ).

fof(f244_nnf,plain,
    queue_215 = store(q40,seq,earray_214),
    inference(nnf_transformation,[status(thm)],[f244]) ).

cnf(c244,plain,
    queue_215 = store(q40,seq,earray_214),
    inference(cnf_transformation,[status(esa)],[f244_nnf]) ).

cnf(p1031,plain,
    ( select(queue_215,X0) = select(q40,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c244,c1]) ).

cnf(p11867,plain,
    ( index_279 = select(q40,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11865,p1031]) ).

cnf(p11906,plain,
    ( index_279 = select(q40,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11867]) ).

cnf(f329,hypothesis,
    q40 = queue_211,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp319) ).

fof(f329_nnf,plain,
    q40 = queue_211,
    inference(nnf_transformation,[status(thm)],[f329]) ).

cnf(c329,plain,
    q40 = queue_211,
    inference(cnf_transformation,[status(esa)],[f329_nnf]) ).

cnf(f243,hypothesis,
    queue_211 = store(queue_209,tail,index_210),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp233) ).

fof(f243_nnf,plain,
    queue_211 = store(queue_209,tail,index_210),
    inference(nnf_transformation,[status(thm)],[f243]) ).

cnf(c243,plain,
    queue_211 = store(queue_209,tail,index_210),
    inference(cnf_transformation,[status(esa)],[f243_nnf]) ).

cnf(p1012,plain,
    ( select(queue_211,X0) = select(queue_209,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c243,c1]) ).

cnf(p3544,plain,
    ( select(q40,X0) = select(queue_209,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c329,p1012]) ).

cnf(p11908,plain,
    ( index_279 = select(queue_209,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11906,p3544]) ).

cnf(p11949,plain,
    ( index_279 = select(queue_209,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11908]) ).

cnf(f242,hypothesis,
    queue_209 = store(q39,seq,earray_208),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp232) ).

fof(f242_nnf,plain,
    queue_209 = store(q39,seq,earray_208),
    inference(nnf_transformation,[status(thm)],[f242]) ).

cnf(c242,plain,
    queue_209 = store(q39,seq,earray_208),
    inference(cnf_transformation,[status(esa)],[f242_nnf]) ).

cnf(p1008,plain,
    ( select(queue_209,X0) = select(q39,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c242,c1]) ).

cnf(p11951,plain,
    ( index_279 = select(q39,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11949,p1008]) ).

cnf(p11992,plain,
    ( index_279 = select(q39,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11951]) ).

cnf(f327,hypothesis,
    q39 = queue_199,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp317) ).

fof(f327_nnf,plain,
    q39 = queue_199,
    inference(nnf_transformation,[status(thm)],[f327]) ).

cnf(c327,plain,
    q39 = queue_199,
    inference(cnf_transformation,[status(esa)],[f327_nnf]) ).

cnf(f239,hypothesis,
    queue_199 = store(queue_197,tail,index_198),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp229) ).

fof(f239_nnf,plain,
    queue_199 = store(queue_197,tail,index_198),
    inference(nnf_transformation,[status(thm)],[f239]) ).

cnf(c239,plain,
    queue_199 = store(queue_197,tail,index_198),
    inference(cnf_transformation,[status(esa)],[f239_nnf]) ).

cnf(p983,plain,
    ( select(queue_199,X0) = select(queue_197,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c239,c1]) ).

cnf(p3525,plain,
    ( select(q39,X0) = select(queue_197,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c327,p983]) ).

cnf(p11994,plain,
    ( index_279 = select(queue_197,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p11992,p3525]) ).

cnf(p12024,plain,
    ( index_279 = select(queue_197,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p11994]) ).

cnf(f238,hypothesis,
    queue_197 = store(q38,seq,earray_196),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp228) ).

fof(f238_nnf,plain,
    queue_197 = store(q38,seq,earray_196),
    inference(nnf_transformation,[status(thm)],[f238]) ).

cnf(c238,plain,
    queue_197 = store(q38,seq,earray_196),
    inference(cnf_transformation,[status(esa)],[f238_nnf]) ).

cnf(p981,plain,
    ( select(queue_197,X0) = select(q38,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c238,c1]) ).

cnf(p12026,plain,
    ( index_279 = select(q38,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12024,p981]) ).

cnf(p12061,plain,
    ( index_279 = select(q38,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12026]) ).

cnf(f326,hypothesis,
    q38 = queue_193,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp316) ).

fof(f326_nnf,plain,
    q38 = queue_193,
    inference(nnf_transformation,[status(thm)],[f326]) ).

cnf(c326,plain,
    q38 = queue_193,
    inference(cnf_transformation,[status(esa)],[f326_nnf]) ).

cnf(f237,hypothesis,
    queue_193 = store(queue_191,tail,index_192),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp227) ).

fof(f237_nnf,plain,
    queue_193 = store(queue_191,tail,index_192),
    inference(nnf_transformation,[status(thm)],[f237]) ).

cnf(c237,plain,
    queue_193 = store(queue_191,tail,index_192),
    inference(cnf_transformation,[status(esa)],[f237_nnf]) ).

cnf(p961,plain,
    ( select(queue_193,X0) = select(queue_191,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c237,c1]) ).

cnf(p3511,plain,
    ( select(q38,X0) = select(queue_191,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c326,p961]) ).

cnf(p12063,plain,
    ( index_279 = select(queue_191,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12061,p3511]) ).

cnf(p12105,plain,
    ( index_279 = select(queue_191,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12063]) ).

cnf(f236,hypothesis,
    queue_191 = store(q37,seq,earray_190),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp226) ).

fof(f236_nnf,plain,
    queue_191 = store(q37,seq,earray_190),
    inference(nnf_transformation,[status(thm)],[f236]) ).

cnf(c236,plain,
    queue_191 = store(q37,seq,earray_190),
    inference(cnf_transformation,[status(esa)],[f236_nnf]) ).

cnf(p956,plain,
    ( select(queue_191,X0) = select(q37,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c236,c1]) ).

cnf(p12107,plain,
    ( index_279 = select(q37,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12105,p956]) ).

cnf(p12145,plain,
    ( index_279 = select(q37,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12107]) ).

cnf(f325,hypothesis,
    q37 = queue_187,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp315) ).

fof(f325_nnf,plain,
    q37 = queue_187,
    inference(nnf_transformation,[status(thm)],[f325]) ).

cnf(c325,plain,
    q37 = queue_187,
    inference(cnf_transformation,[status(esa)],[f325_nnf]) ).

cnf(f234,hypothesis,
    queue_187 = store(queue_185,tail,index_186),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp224) ).

fof(f234_nnf,plain,
    queue_187 = store(queue_185,tail,index_186),
    inference(nnf_transformation,[status(thm)],[f234]) ).

cnf(c234,plain,
    queue_187 = store(queue_185,tail,index_186),
    inference(cnf_transformation,[status(esa)],[f234_nnf]) ).

cnf(p942,plain,
    ( select(queue_187,X0) = select(queue_185,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c234,c1]) ).

cnf(p3242,plain,
    ( select(q37,X0) = select(queue_185,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c325,p942]) ).

cnf(p12147,plain,
    ( index_279 = select(queue_185,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12145,p3242]) ).

cnf(p12184,plain,
    ( index_279 = select(queue_185,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12147]) ).

cnf(f233,hypothesis,
    queue_185 = store(q36,seq,earray_184),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp223) ).

fof(f233_nnf,plain,
    queue_185 = store(q36,seq,earray_184),
    inference(nnf_transformation,[status(thm)],[f233]) ).

cnf(c233,plain,
    queue_185 = store(q36,seq,earray_184),
    inference(cnf_transformation,[status(esa)],[f233_nnf]) ).

cnf(p936,plain,
    ( select(queue_185,X0) = select(q36,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c233,c1]) ).

cnf(p12187,plain,
    ( index_279 = select(q36,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12184,p936]) ).

cnf(p12227,plain,
    ( index_279 = select(q36,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12187]) ).

cnf(f324,hypothesis,
    q36 = queue_181,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp314) ).

fof(f324_nnf,plain,
    q36 = queue_181,
    inference(nnf_transformation,[status(thm)],[f324]) ).

cnf(c324,plain,
    q36 = queue_181,
    inference(cnf_transformation,[status(esa)],[f324_nnf]) ).

cnf(f232,hypothesis,
    queue_181 = store(queue_179,tail,index_180),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp222) ).

fof(f232_nnf,plain,
    queue_181 = store(queue_179,tail,index_180),
    inference(nnf_transformation,[status(thm)],[f232]) ).

cnf(c232,plain,
    queue_181 = store(queue_179,tail,index_180),
    inference(cnf_transformation,[status(esa)],[f232_nnf]) ).

cnf(p929,plain,
    ( select(queue_181,X0) = select(queue_179,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c232,c1]) ).

cnf(p3169,plain,
    ( select(q36,X0) = select(queue_179,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c324,p929]) ).

cnf(p12231,plain,
    ( index_279 = select(queue_179,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12227,p3169]) ).

cnf(p12268,plain,
    ( index_279 = select(queue_179,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12231]) ).

cnf(f231,hypothesis,
    queue_179 = store(q35,seq,earray_178),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp221) ).

fof(f231_nnf,plain,
    queue_179 = store(q35,seq,earray_178),
    inference(nnf_transformation,[status(thm)],[f231]) ).

cnf(c231,plain,
    queue_179 = store(q35,seq,earray_178),
    inference(cnf_transformation,[status(esa)],[f231_nnf]) ).

cnf(p923,plain,
    ( select(queue_179,X0) = select(q35,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c231,c1]) ).

cnf(p12270,plain,
    ( index_279 = select(q35,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12268,p923]) ).

cnf(p12304,plain,
    ( index_279 = select(q35,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12270]) ).

cnf(f323,hypothesis,
    q35 = queue_175,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp313) ).

fof(f323_nnf,plain,
    q35 = queue_175,
    inference(nnf_transformation,[status(thm)],[f323]) ).

cnf(c323,plain,
    q35 = queue_175,
    inference(cnf_transformation,[status(esa)],[f323_nnf]) ).

cnf(f230,hypothesis,
    queue_175 = store(queue_173,tail,index_174),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp220) ).

fof(f230_nnf,plain,
    queue_175 = store(queue_173,tail,index_174),
    inference(nnf_transformation,[status(thm)],[f230]) ).

cnf(c230,plain,
    queue_175 = store(queue_173,tail,index_174),
    inference(cnf_transformation,[status(esa)],[f230_nnf]) ).

cnf(p916,plain,
    ( select(queue_175,X0) = select(queue_173,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c230,c1]) ).

cnf(p3091,plain,
    ( select(q35,X0) = select(queue_173,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c323,p916]) ).

cnf(p12306,plain,
    ( index_279 = select(queue_173,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12304,p3091]) ).

cnf(p12348,plain,
    ( index_279 = select(queue_173,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12306]) ).

cnf(f229,hypothesis,
    queue_173 = store(q34,seq,earray_172),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp219) ).

fof(f229_nnf,plain,
    queue_173 = store(q34,seq,earray_172),
    inference(nnf_transformation,[status(thm)],[f229]) ).

cnf(c229,plain,
    queue_173 = store(q34,seq,earray_172),
    inference(cnf_transformation,[status(esa)],[f229_nnf]) ).

cnf(p910,plain,
    ( select(queue_173,X0) = select(q34,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c229,c1]) ).

cnf(p12350,plain,
    ( index_279 = select(q34,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12348,p910]) ).

cnf(p12385,plain,
    ( index_279 = select(q34,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12350]) ).

cnf(f322,hypothesis,
    q34 = queue_169,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp312) ).

fof(f322_nnf,plain,
    q34 = queue_169,
    inference(nnf_transformation,[status(thm)],[f322]) ).

cnf(c322,plain,
    q34 = queue_169,
    inference(cnf_transformation,[status(esa)],[f322_nnf]) ).

cnf(f227,hypothesis,
    queue_169 = store(queue_167,tail,index_168),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp217) ).

fof(f227_nnf,plain,
    queue_169 = store(queue_167,tail,index_168),
    inference(nnf_transformation,[status(thm)],[f227]) ).

cnf(c227,plain,
    queue_169 = store(queue_167,tail,index_168),
    inference(cnf_transformation,[status(esa)],[f227_nnf]) ).

cnf(p897,plain,
    ( select(queue_169,X0) = select(queue_167,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c227,c1]) ).

cnf(p3082,plain,
    ( select(q34,X0) = select(queue_167,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c322,p897]) ).

cnf(p12387,plain,
    ( index_279 = select(queue_167,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12385,p3082]) ).

cnf(p12418,plain,
    ( index_279 = select(queue_167,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12387]) ).

cnf(f226,hypothesis,
    queue_167 = store(q33,seq,earray_166),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp216) ).

fof(f226_nnf,plain,
    queue_167 = store(q33,seq,earray_166),
    inference(nnf_transformation,[status(thm)],[f226]) ).

cnf(c226,plain,
    queue_167 = store(q33,seq,earray_166),
    inference(cnf_transformation,[status(esa)],[f226_nnf]) ).

cnf(p891,plain,
    ( select(queue_167,X0) = select(q33,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c226,c1]) ).

cnf(p12423,plain,
    ( index_279 = select(q33,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12418,p891]) ).

cnf(p12457,plain,
    ( index_279 = select(q33,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12423]) ).

cnf(f321,hypothesis,
    q33 = queue_163,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp311) ).

fof(f321_nnf,plain,
    q33 = queue_163,
    inference(nnf_transformation,[status(thm)],[f321]) ).

cnf(c321,plain,
    q33 = queue_163,
    inference(cnf_transformation,[status(esa)],[f321_nnf]) ).

cnf(f225,hypothesis,
    queue_163 = store(queue_161,tail,index_162),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp215) ).

fof(f225_nnf,plain,
    queue_163 = store(queue_161,tail,index_162),
    inference(nnf_transformation,[status(thm)],[f225]) ).

cnf(c225,plain,
    queue_163 = store(queue_161,tail,index_162),
    inference(cnf_transformation,[status(esa)],[f225_nnf]) ).

cnf(p884,plain,
    ( select(queue_163,X0) = select(queue_161,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c225,c1]) ).

cnf(p2949,plain,
    ( select(q33,X0) = select(queue_161,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c321,p884]) ).

cnf(p12459,plain,
    ( index_279 = select(queue_161,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12457,p2949]) ).

cnf(p12498,plain,
    ( index_279 = select(queue_161,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12459]) ).

cnf(f224,hypothesis,
    queue_161 = store(q32,seq,earray_160),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp214) ).

fof(f224_nnf,plain,
    queue_161 = store(q32,seq,earray_160),
    inference(nnf_transformation,[status(thm)],[f224]) ).

cnf(c224,plain,
    queue_161 = store(q32,seq,earray_160),
    inference(cnf_transformation,[status(esa)],[f224_nnf]) ).

cnf(p881,plain,
    ( select(queue_161,X0) = select(q32,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c224,c1]) ).

cnf(p12500,plain,
    ( index_279 = select(q32,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12498,p881]) ).

cnf(p12538,plain,
    ( index_279 = select(q32,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12500]) ).

cnf(f320,hypothesis,
    q32 = queue_157,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp310) ).

fof(f320_nnf,plain,
    q32 = queue_157,
    inference(nnf_transformation,[status(thm)],[f320]) ).

cnf(c320,plain,
    q32 = queue_157,
    inference(cnf_transformation,[status(esa)],[f320_nnf]) ).

cnf(f223,hypothesis,
    queue_157 = store(queue_155,tail,index_156),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp213) ).

fof(f223_nnf,plain,
    queue_157 = store(queue_155,tail,index_156),
    inference(nnf_transformation,[status(thm)],[f223]) ).

cnf(c223,plain,
    queue_157 = store(queue_155,tail,index_156),
    inference(cnf_transformation,[status(esa)],[f223_nnf]) ).

cnf(p878,plain,
    ( select(queue_157,X0) = select(queue_155,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c223,c1]) ).

cnf(p2908,plain,
    ( select(q32,X0) = select(queue_155,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c320,p878]) ).

cnf(p12546,plain,
    ( index_279 = select(queue_155,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12538,p2908]) ).

cnf(p12594,plain,
    ( index_279 = select(queue_155,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12546]) ).

cnf(f222,hypothesis,
    queue_155 = store(q31,seq,earray_154),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp212) ).

fof(f222_nnf,plain,
    queue_155 = store(q31,seq,earray_154),
    inference(nnf_transformation,[status(thm)],[f222]) ).

cnf(c222,plain,
    queue_155 = store(q31,seq,earray_154),
    inference(cnf_transformation,[status(esa)],[f222_nnf]) ).

cnf(p876,plain,
    ( select(queue_155,X0) = select(q31,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c222,c1]) ).

cnf(p12596,plain,
    ( index_279 = select(q31,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12594,p876]) ).

cnf(p12638,plain,
    ( index_279 = select(q31,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12596]) ).

cnf(f319,hypothesis,
    q31 = queue_151,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp309) ).

fof(f319_nnf,plain,
    q31 = queue_151,
    inference(nnf_transformation,[status(thm)],[f319]) ).

cnf(c319,plain,
    q31 = queue_151,
    inference(cnf_transformation,[status(esa)],[f319_nnf]) ).

cnf(f221,hypothesis,
    queue_151 = store(queue_149,tail,index_150),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp211) ).

fof(f221_nnf,plain,
    queue_151 = store(queue_149,tail,index_150),
    inference(nnf_transformation,[status(thm)],[f221]) ).

cnf(c221,plain,
    queue_151 = store(queue_149,tail,index_150),
    inference(cnf_transformation,[status(esa)],[f221_nnf]) ).

cnf(p873,plain,
    ( select(queue_151,X0) = select(queue_149,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c221,c1]) ).

cnf(p2902,plain,
    ( select(q31,X0) = select(queue_149,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c319,p873]) ).

cnf(p12642,plain,
    ( index_279 = select(queue_149,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12638,p2902]) ).

cnf(p12681,plain,
    ( index_279 = select(queue_149,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12642]) ).

cnf(f220,hypothesis,
    queue_149 = store(q30,seq,earray_148),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp210) ).

fof(f220_nnf,plain,
    queue_149 = store(q30,seq,earray_148),
    inference(nnf_transformation,[status(thm)],[f220]) ).

cnf(c220,plain,
    queue_149 = store(q30,seq,earray_148),
    inference(cnf_transformation,[status(esa)],[f220_nnf]) ).

cnf(p871,plain,
    ( select(queue_149,X0) = select(q30,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c220,c1]) ).

cnf(p12684,plain,
    ( index_279 = select(q30,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12681,p871]) ).

cnf(p12722,plain,
    ( index_279 = select(q30,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12684]) ).

cnf(f318,hypothesis,
    q30 = queue_145,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp308) ).

fof(f318_nnf,plain,
    q30 = queue_145,
    inference(nnf_transformation,[status(thm)],[f318]) ).

cnf(c318,plain,
    q30 = queue_145,
    inference(cnf_transformation,[status(esa)],[f318_nnf]) ).

cnf(f219,hypothesis,
    queue_145 = store(queue_143,tail,index_144),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp209) ).

fof(f219_nnf,plain,
    queue_145 = store(queue_143,tail,index_144),
    inference(nnf_transformation,[status(thm)],[f219]) ).

cnf(c219,plain,
    queue_145 = store(queue_143,tail,index_144),
    inference(cnf_transformation,[status(esa)],[f219_nnf]) ).

cnf(p868,plain,
    ( select(queue_145,X0) = select(queue_143,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c219,c1]) ).

cnf(p2874,plain,
    ( select(q30,X0) = select(queue_143,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c318,p868]) ).

cnf(p12727,plain,
    ( index_279 = select(queue_143,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12722,p2874]) ).

cnf(p12763,plain,
    ( index_279 = select(queue_143,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12727]) ).

cnf(f218,hypothesis,
    queue_143 = store(q29,seq,earray_142),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp208) ).

fof(f218_nnf,plain,
    queue_143 = store(q29,seq,earray_142),
    inference(nnf_transformation,[status(thm)],[f218]) ).

cnf(c218,plain,
    queue_143 = store(q29,seq,earray_142),
    inference(cnf_transformation,[status(esa)],[f218_nnf]) ).

cnf(p866,plain,
    ( select(queue_143,X0) = select(q29,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c218,c1]) ).

cnf(p12765,plain,
    ( index_279 = select(q29,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12763,p866]) ).

cnf(p12798,plain,
    ( index_279 = select(q29,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12765]) ).

cnf(f316,hypothesis,
    q29 = queue_133,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp306) ).

fof(f316_nnf,plain,
    q29 = queue_133,
    inference(nnf_transformation,[status(thm)],[f316]) ).

cnf(c316,plain,
    q29 = queue_133,
    inference(cnf_transformation,[status(esa)],[f316_nnf]) ).

cnf(f215,hypothesis,
    queue_133 = store(queue_131,tail,index_132),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp205) ).

fof(f215_nnf,plain,
    queue_133 = store(queue_131,tail,index_132),
    inference(nnf_transformation,[status(thm)],[f215]) ).

cnf(c215,plain,
    queue_133 = store(queue_131,tail,index_132),
    inference(cnf_transformation,[status(esa)],[f215_nnf]) ).

cnf(p858,plain,
    ( select(queue_133,X0) = select(queue_131,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c215,c1]) ).

cnf(p2822,plain,
    ( select(q29,X0) = select(queue_131,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c316,p858]) ).

cnf(p12800,plain,
    ( index_279 = select(queue_131,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12798,p2822]) ).

cnf(p12839,plain,
    ( index_279 = select(queue_131,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12800]) ).

cnf(f214,hypothesis,
    queue_131 = store(q28,seq,earray_130),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp204) ).

fof(f214_nnf,plain,
    queue_131 = store(q28,seq,earray_130),
    inference(nnf_transformation,[status(thm)],[f214]) ).

cnf(c214,plain,
    queue_131 = store(q28,seq,earray_130),
    inference(cnf_transformation,[status(esa)],[f214_nnf]) ).

cnf(p856,plain,
    ( select(queue_131,X0) = select(q28,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c214,c1]) ).

cnf(p12841,plain,
    ( index_279 = select(q28,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12839,p856]) ).

cnf(p12876,plain,
    ( index_279 = select(q28,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12841]) ).

cnf(f315,hypothesis,
    q28 = queue_127,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp305) ).

fof(f315_nnf,plain,
    q28 = queue_127,
    inference(nnf_transformation,[status(thm)],[f315]) ).

cnf(c315,plain,
    q28 = queue_127,
    inference(cnf_transformation,[status(esa)],[f315_nnf]) ).

cnf(f212,hypothesis,
    queue_127 = store(queue_125,tail,index_126),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp202) ).

fof(f212_nnf,plain,
    queue_127 = store(queue_125,tail,index_126),
    inference(nnf_transformation,[status(thm)],[f212]) ).

cnf(c212,plain,
    queue_127 = store(queue_125,tail,index_126),
    inference(cnf_transformation,[status(esa)],[f212_nnf]) ).

cnf(p850,plain,
    ( select(queue_127,X0) = select(queue_125,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c212,c1]) ).

cnf(p2812,plain,
    ( select(q28,X0) = select(queue_125,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c315,p850]) ).

cnf(p12878,plain,
    ( index_279 = select(queue_125,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12876,p2812]) ).

cnf(p12915,plain,
    ( index_279 = select(queue_125,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12878]) ).

cnf(f211,hypothesis,
    queue_125 = store(q27,seq,earray_124),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp201) ).

fof(f211_nnf,plain,
    queue_125 = store(q27,seq,earray_124),
    inference(nnf_transformation,[status(thm)],[f211]) ).

cnf(c211,plain,
    queue_125 = store(q27,seq,earray_124),
    inference(cnf_transformation,[status(esa)],[f211_nnf]) ).

cnf(p848,plain,
    ( select(queue_125,X0) = select(q27,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c211,c1]) ).

cnf(p12917,plain,
    ( index_279 = select(q27,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12915,p848]) ).

cnf(p12958,plain,
    ( index_279 = select(q27,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12917]) ).

cnf(f314,hypothesis,
    q27 = queue_121,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp304) ).

fof(f314_nnf,plain,
    q27 = queue_121,
    inference(nnf_transformation,[status(thm)],[f314]) ).

cnf(c314,plain,
    q27 = queue_121,
    inference(cnf_transformation,[status(esa)],[f314_nnf]) ).

cnf(f210,hypothesis,
    queue_121 = store(queue_119,tail,index_120),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp200) ).

fof(f210_nnf,plain,
    queue_121 = store(queue_119,tail,index_120),
    inference(nnf_transformation,[status(thm)],[f210]) ).

cnf(c210,plain,
    queue_121 = store(queue_119,tail,index_120),
    inference(cnf_transformation,[status(esa)],[f210_nnf]) ).

cnf(p845,plain,
    ( select(queue_121,X0) = select(queue_119,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c210,c1]) ).

cnf(p2806,plain,
    ( select(q27,X0) = select(queue_119,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c314,p845]) ).

cnf(p12960,plain,
    ( index_279 = select(queue_119,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p12958,p2806]) ).

cnf(p13002,plain,
    ( index_279 = select(queue_119,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p12960]) ).

cnf(f209,hypothesis,
    queue_119 = store(q26,seq,earray_118),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp199) ).

fof(f209_nnf,plain,
    queue_119 = store(q26,seq,earray_118),
    inference(nnf_transformation,[status(thm)],[f209]) ).

cnf(c209,plain,
    queue_119 = store(q26,seq,earray_118),
    inference(cnf_transformation,[status(esa)],[f209_nnf]) ).

cnf(p843,plain,
    ( select(queue_119,X0) = select(q26,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c209,c1]) ).

cnf(p13004,plain,
    ( index_279 = select(q26,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13002,p843]) ).

cnf(p13044,plain,
    ( index_279 = select(q26,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13004]) ).

cnf(f313,hypothesis,
    q26 = queue_115,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp303) ).

fof(f313_nnf,plain,
    q26 = queue_115,
    inference(nnf_transformation,[status(thm)],[f313]) ).

cnf(c313,plain,
    q26 = queue_115,
    inference(cnf_transformation,[status(esa)],[f313_nnf]) ).

cnf(f208,hypothesis,
    queue_115 = store(queue_113,tail,index_114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp198) ).

fof(f208_nnf,plain,
    queue_115 = store(queue_113,tail,index_114),
    inference(nnf_transformation,[status(thm)],[f208]) ).

cnf(c208,plain,
    queue_115 = store(queue_113,tail,index_114),
    inference(cnf_transformation,[status(esa)],[f208_nnf]) ).

cnf(p840,plain,
    ( select(queue_115,X0) = select(queue_113,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c208,c1]) ).

cnf(p2800,plain,
    ( select(q26,X0) = select(queue_113,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c313,p840]) ).

cnf(p13046,plain,
    ( index_279 = select(queue_113,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13044,p2800]) ).

cnf(p13086,plain,
    ( index_279 = select(queue_113,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13046]) ).

cnf(f207,hypothesis,
    queue_113 = store(q25,seq,earray_112),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp197) ).

fof(f207_nnf,plain,
    queue_113 = store(q25,seq,earray_112),
    inference(nnf_transformation,[status(thm)],[f207]) ).

cnf(c207,plain,
    queue_113 = store(q25,seq,earray_112),
    inference(cnf_transformation,[status(esa)],[f207_nnf]) ).

cnf(p838,plain,
    ( select(queue_113,X0) = select(q25,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c207,c1]) ).

cnf(p13088,plain,
    ( index_279 = select(q25,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13086,p838]) ).

cnf(p13125,plain,
    ( index_279 = select(q25,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13088]) ).

cnf(f312,hypothesis,
    q25 = queue_109,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp302) ).

fof(f312_nnf,plain,
    q25 = queue_109,
    inference(nnf_transformation,[status(thm)],[f312]) ).

cnf(c312,plain,
    q25 = queue_109,
    inference(cnf_transformation,[status(esa)],[f312_nnf]) ).

cnf(f205,hypothesis,
    queue_109 = store(queue_107,tail,index_108),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp195) ).

fof(f205_nnf,plain,
    queue_109 = store(queue_107,tail,index_108),
    inference(nnf_transformation,[status(thm)],[f205]) ).

cnf(c205,plain,
    queue_109 = store(queue_107,tail,index_108),
    inference(cnf_transformation,[status(esa)],[f205_nnf]) ).

cnf(p833,plain,
    ( select(queue_109,X0) = select(queue_107,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c205,c1]) ).

cnf(p2794,plain,
    ( select(q25,X0) = select(queue_107,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c312,p833]) ).

cnf(p13127,plain,
    ( index_279 = select(queue_107,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13125,p2794]) ).

cnf(p13164,plain,
    ( index_279 = select(queue_107,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13127]) ).

cnf(f204,hypothesis,
    queue_107 = store(q24,seq,earray_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp194) ).

fof(f204_nnf,plain,
    queue_107 = store(q24,seq,earray_106),
    inference(nnf_transformation,[status(thm)],[f204]) ).

cnf(c204,plain,
    queue_107 = store(q24,seq,earray_106),
    inference(cnf_transformation,[status(esa)],[f204_nnf]) ).

cnf(p831,plain,
    ( select(queue_107,X0) = select(q24,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c204,c1]) ).

cnf(p13166,plain,
    ( index_279 = select(q24,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13164,p831]) ).

cnf(p13190,plain,
    ( index_279 = select(q24,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13166]) ).

cnf(f311,hypothesis,
    q24 = queue_103,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp301) ).

fof(f311_nnf,plain,
    q24 = queue_103,
    inference(nnf_transformation,[status(thm)],[f311]) ).

cnf(c311,plain,
    q24 = queue_103,
    inference(cnf_transformation,[status(esa)],[f311_nnf]) ).

cnf(f203,hypothesis,
    queue_103 = store(queue_101,tail,index_102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp193) ).

fof(f203_nnf,plain,
    queue_103 = store(queue_101,tail,index_102),
    inference(nnf_transformation,[status(thm)],[f203]) ).

cnf(c203,plain,
    queue_103 = store(queue_101,tail,index_102),
    inference(cnf_transformation,[status(esa)],[f203_nnf]) ).

cnf(p828,plain,
    ( select(queue_103,X0) = select(queue_101,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c203,c1]) ).

cnf(p2789,plain,
    ( select(q24,X0) = select(queue_101,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c311,p828]) ).

cnf(p13194,plain,
    ( index_279 = select(queue_101,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13190,p2789]) ).

cnf(p13230,plain,
    ( index_279 = select(queue_101,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13194]) ).

cnf(f202,hypothesis,
    queue_101 = store(q23,seq,earray_100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp192) ).

fof(f202_nnf,plain,
    queue_101 = store(q23,seq,earray_100),
    inference(nnf_transformation,[status(thm)],[f202]) ).

cnf(c202,plain,
    queue_101 = store(q23,seq,earray_100),
    inference(cnf_transformation,[status(esa)],[f202_nnf]) ).

cnf(p826,plain,
    ( select(queue_101,X0) = select(q23,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c202,c1]) ).

cnf(p13232,plain,
    ( index_279 = select(q23,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13230,p826]) ).

cnf(p13268,plain,
    ( index_279 = select(q23,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13232]) ).

cnf(f310,hypothesis,
    q23 = queue_97,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp300) ).

fof(f310_nnf,plain,
    q23 = queue_97,
    inference(nnf_transformation,[status(thm)],[f310]) ).

cnf(c310,plain,
    q23 = queue_97,
    inference(cnf_transformation,[status(esa)],[f310_nnf]) ).

cnf(f293,hypothesis,
    queue_97 = store(queue_95,tail,index_96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp283) ).

fof(f293_nnf,plain,
    queue_97 = store(queue_95,tail,index_96),
    inference(nnf_transformation,[status(thm)],[f293]) ).

cnf(c293,plain,
    queue_97 = store(queue_95,tail,index_96),
    inference(cnf_transformation,[status(esa)],[f293_nnf]) ).

cnf(f0,axiom,
    select(store(A,I,E),I) = E,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f0_nnf,plain,
    ! [A,I,E] : select(store(A,I,E),I) = E,
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [A,I,E] : select(store(A,I,E),I) = E,
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p1441,plain,
    select(queue_97,tail) = index_96,
    inference(superposition,[status(thm)],[c293,c0]) ).

cnf(p2580,plain,
    select(q23,tail) = index_96,
    inference(superposition,[status(thm)],[c310,p1441]) ).

cnf(f200,hypothesis,
    index_99 = select(q23,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp190) ).

fof(f200_nnf,plain,
    index_99 = select(q23,tail),
    inference(nnf_transformation,[status(thm)],[f200]) ).

cnf(c200,plain,
    index_99 = select(q23,tail),
    inference(cnf_transformation,[status(esa)],[f200_nnf]) ).

cnf(p2581,plain,
    index_99 = index_96,
    inference(demodulation,[status(thm)],[p2580,c200]) ).

cnf(f199,hypothesis,
    index_96 = s(index_93),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp189) ).

fof(f199_nnf,plain,
    index_96 = s(index_93),
    inference(nnf_transformation,[status(thm)],[f199]) ).

cnf(c199,plain,
    index_96 = s(index_93),
    inference(cnf_transformation,[status(esa)],[f199_nnf]) ).

cnf(f5,axiom,
    p(s(X)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ps) ).

fof(f5_nnf,plain,
    ! [X] : p(s(X)) = X,
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X] : p(s(X)) = X,
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    p(s(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p483,plain,
    p(index_96) = index_93,
    inference(superposition,[status(thm)],[c199,c5]) ).

cnf(f6,axiom,
    s(p(X)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sp) ).

fof(f6_nnf,plain,
    ! [X] : s(p(X)) = X,
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X] : s(p(X)) = X,
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    s(p(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p612,plain,
    s(index_93) = index_96,
    inference(superposition,[status(thm)],[p483,c6]) ).

cnf(p2588,plain,
    index_96 = index_99,
    inference(superposition,[status(thm)],[p2581,p612]) ).

cnf(p1443,plain,
    q23 = store(queue_95,tail,index_96),
    inference(superposition,[status(thm)],[c310,c293]) ).

cnf(p2594,plain,
    q23 = store(queue_95,tail,index_99),
    inference(demodulation,[status(thm)],[p2588,p1443]) ).

cnf(p3841,plain,
    ( select(q23,X0) = select(queue_95,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[p2594,c1]) ).

cnf(p13270,plain,
    ( index_279 = select(queue_95,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13268,p3841]) ).

cnf(p13310,plain,
    ( index_279 = select(queue_95,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13270]) ).

cnf(f292,hypothesis,
    queue_95 = store(q22,seq,earray_94),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp282) ).

fof(f292_nnf,plain,
    queue_95 = store(q22,seq,earray_94),
    inference(nnf_transformation,[status(thm)],[f292]) ).

cnf(c292,plain,
    queue_95 = store(q22,seq,earray_94),
    inference(cnf_transformation,[status(esa)],[f292_nnf]) ).

cnf(p1440,plain,
    ( select(queue_95,X0) = select(q22,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c292,c1]) ).

cnf(p13312,plain,
    ( index_279 = select(q22,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13310,p1440]) ).

cnf(p13345,plain,
    ( index_279 = select(q22,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13312]) ).

cnf(p2586,plain,
    index_111 = index_93,
    inference(superposition,[status(thm)],[p2581,p483]) ).

cnf(f309,hypothesis,
    q22 = queue_91,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp299) ).

fof(f309_nnf,plain,
    q22 = queue_91,
    inference(nnf_transformation,[status(thm)],[f309]) ).

cnf(c309,plain,
    q22 = queue_91,
    inference(cnf_transformation,[status(esa)],[f309_nnf]) ).

cnf(f291,hypothesis,
    queue_91 = store(queue_89,tail,index_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp281) ).

fof(f291_nnf,plain,
    queue_91 = store(queue_89,tail,index_90),
    inference(nnf_transformation,[status(thm)],[f291]) ).

cnf(c291,plain,
    queue_91 = store(queue_89,tail,index_90),
    inference(cnf_transformation,[status(esa)],[f291_nnf]) ).

cnf(p1423,plain,
    select(queue_91,tail) = index_90,
    inference(superposition,[status(thm)],[c291,c0]) ).

cnf(p2551,plain,
    select(q22,tail) = index_90,
    inference(superposition,[status(thm)],[c309,p1423]) ).

cnf(f198,hypothesis,
    index_93 = select(q22,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp188) ).

fof(f198_nnf,plain,
    index_93 = select(q22,tail),
    inference(nnf_transformation,[status(thm)],[f198]) ).

cnf(c198,plain,
    index_93 = select(q22,tail),
    inference(cnf_transformation,[status(esa)],[f198_nnf]) ).

cnf(p2552,plain,
    index_93 = index_90,
    inference(demodulation,[status(thm)],[p2551,c198]) ).

cnf(f197,hypothesis,
    index_90 = s(index_87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp187) ).

fof(f197_nnf,plain,
    index_90 = s(index_87),
    inference(nnf_transformation,[status(thm)],[f197]) ).

cnf(c197,plain,
    index_90 = s(index_87),
    inference(cnf_transformation,[status(esa)],[f197_nnf]) ).

cnf(p481,plain,
    p(index_90) = index_87,
    inference(superposition,[status(thm)],[c197,c5]) ).

cnf(p610,plain,
    s(index_87) = index_90,
    inference(superposition,[status(thm)],[p481,c6]) ).

cnf(p2558,plain,
    index_90 = index_93,
    inference(superposition,[status(thm)],[p2552,p610]) ).

cnf(p2607,plain,
    index_93 = index_111,
    inference(superposition,[status(thm)],[p2586,p2558]) ).

cnf(p1425,plain,
    q22 = store(queue_89,tail,index_90),
    inference(superposition,[status(thm)],[c309,c291]) ).

cnf(p2564,plain,
    q22 = store(queue_89,tail,index_93),
    inference(demodulation,[status(thm)],[p2558,p1425]) ).

cnf(p2617,plain,
    q22 = store(queue_89,tail,index_111),
    inference(demodulation,[status(thm)],[p2607,p2564]) ).

cnf(p3847,plain,
    ( select(q22,X0) = select(queue_89,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[p2617,c1]) ).

cnf(p13347,plain,
    ( index_279 = select(queue_89,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13345,p3847]) ).

cnf(p13384,plain,
    ( index_279 = select(queue_89,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13347]) ).

cnf(f290,hypothesis,
    queue_89 = store(q21,seq,earray_88),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp280) ).

fof(f290_nnf,plain,
    queue_89 = store(q21,seq,earray_88),
    inference(nnf_transformation,[status(thm)],[f290]) ).

cnf(c290,plain,
    queue_89 = store(q21,seq,earray_88),
    inference(cnf_transformation,[status(esa)],[f290_nnf]) ).

cnf(p1418,plain,
    ( select(queue_89,X0) = select(q21,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c290,c1]) ).

cnf(p13387,plain,
    ( index_279 = select(q21,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13384,p1418]) ).

cnf(p13426,plain,
    ( index_279 = select(q21,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13387]) ).

cnf(f307,hypothesis,
    q20 = queue_79,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp297) ).

fof(f307_nnf,plain,
    q20 = queue_79,
    inference(nnf_transformation,[status(thm)],[f307]) ).

cnf(c307,plain,
    q20 = queue_79,
    inference(cnf_transformation,[status(esa)],[f307_nnf]) ).

cnf(f287,hypothesis,
    queue_79 = store(queue_77,tail,index_78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp277) ).

fof(f287_nnf,plain,
    queue_79 = store(queue_77,tail,index_78),
    inference(nnf_transformation,[status(thm)],[f287]) ).

cnf(c287,plain,
    queue_79 = store(queue_77,tail,index_78),
    inference(cnf_transformation,[status(esa)],[f287_nnf]) ).

cnf(p1392,plain,
    select(queue_79,tail) = index_78,
    inference(superposition,[status(thm)],[c287,c0]) ).

cnf(p2509,plain,
    select(q20,tail) = index_78,
    inference(superposition,[status(thm)],[c307,p1392]) ).

cnf(f193,hypothesis,
    index_81 = select(q20,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp183) ).

fof(f193_nnf,plain,
    index_81 = select(q20,tail),
    inference(nnf_transformation,[status(thm)],[f193]) ).

cnf(c193,plain,
    index_81 = select(q20,tail),
    inference(cnf_transformation,[status(esa)],[f193_nnf]) ).

cnf(p2510,plain,
    index_81 = index_78,
    inference(demodulation,[status(thm)],[p2509,c193]) ).

cnf(f192,hypothesis,
    index_78 = s(index_75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp182) ).

fof(f192_nnf,plain,
    index_78 = s(index_75),
    inference(nnf_transformation,[status(thm)],[f192]) ).

cnf(c192,plain,
    index_78 = s(index_75),
    inference(cnf_transformation,[status(esa)],[f192_nnf]) ).

cnf(p475,plain,
    p(index_78) = index_75,
    inference(superposition,[status(thm)],[c192,c5]) ).

cnf(p2512,plain,
    p(index_81) = index_75,
    inference(superposition,[status(thm)],[p2510,p475]) ).

cnf(f194,hypothesis,
    index_84 = s(index_81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp184) ).

fof(f194_nnf,plain,
    index_84 = s(index_81),
    inference(nnf_transformation,[status(thm)],[f194]) ).

cnf(c194,plain,
    index_84 = s(index_81),
    inference(cnf_transformation,[status(esa)],[f194_nnf]) ).

cnf(p477,plain,
    p(index_84) = index_81,
    inference(superposition,[status(thm)],[c194,c5]) ).

cnf(p607,plain,
    s(index_81) = index_84,
    inference(superposition,[status(thm)],[p477,c6]) ).

cnf(f9,axiom,
    s(s(s(X))) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circular) ).

fof(f9_nnf,plain,
    ! [X] : s(s(s(X))) = X,
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [X] : s(s(s(X))) = X,
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    s(s(s(X0))) = X0,
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p346,plain,
    s(s(X0)) = p(X0),
    inference(superposition,[status(thm)],[c6,c9]) ).

cnf(p1538,plain,
    s(index_84) = p(index_81),
    inference(superposition,[status(thm)],[p607,p346]) ).

cnf(p2514,plain,
    s(index_84) = index_75,
    inference(demodulation,[status(thm)],[p2512,p1538]) ).

cnf(p2534,plain,
    index_63 = index_84,
    inference(superposition,[status(thm)],[p2514,c5]) ).

cnf(p2537,plain,
    index_84 = index_63,
    inference(superposition,[status(thm)],[p2534,p607]) ).

cnf(f308,hypothesis,
    q21 = queue_85,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp298) ).

fof(f308_nnf,plain,
    q21 = queue_85,
    inference(nnf_transformation,[status(thm)],[f308]) ).

cnf(c308,plain,
    q21 = queue_85,
    inference(cnf_transformation,[status(esa)],[f308_nnf]) ).

cnf(f289,hypothesis,
    queue_85 = store(queue_83,tail,index_84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp279) ).

fof(f289_nnf,plain,
    queue_85 = store(queue_83,tail,index_84),
    inference(nnf_transformation,[status(thm)],[f289]) ).

cnf(c289,plain,
    queue_85 = store(queue_83,tail,index_84),
    inference(cnf_transformation,[status(esa)],[f289_nnf]) ).

cnf(p1416,plain,
    q21 = store(queue_83,tail,index_84),
    inference(superposition,[status(thm)],[c308,c289]) ).

cnf(p2540,plain,
    q21 = store(queue_83,tail,index_63),
    inference(demodulation,[status(thm)],[p2537,p1416]) ).

cnf(p3835,plain,
    ( select(q21,X0) = select(queue_83,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[p2540,c1]) ).

cnf(p13428,plain,
    ( index_279 = select(queue_83,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13426,p3835]) ).

cnf(p13478,plain,
    ( index_279 = select(queue_83,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13428]) ).

cnf(f288,hypothesis,
    queue_83 = store(q20,seq,earray_82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp278) ).

fof(f288_nnf,plain,
    queue_83 = store(q20,seq,earray_82),
    inference(nnf_transformation,[status(thm)],[f288]) ).

cnf(c288,plain,
    queue_83 = store(q20,seq,earray_82),
    inference(cnf_transformation,[status(esa)],[f288_nnf]) ).

cnf(p1413,plain,
    ( select(queue_83,X0) = select(q20,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c288,c1]) ).

cnf(p13480,plain,
    ( index_279 = select(q20,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13478,p1413]) ).

cnf(p13511,plain,
    ( index_279 = select(q20,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13480]) ).

cnf(p1393,plain,
    ( select(queue_79,X0) = select(queue_77,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c287,c1]) ).

cnf(p3895,plain,
    ( select(q20,X0) = select(queue_77,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c307,p1393]) ).

cnf(p13513,plain,
    ( index_279 = select(queue_77,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13511,p3895]) ).

cnf(p13553,plain,
    ( index_279 = select(queue_77,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13513]) ).

cnf(f286,hypothesis,
    queue_77 = store(q19,seq,earray_76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp276) ).

fof(f286_nnf,plain,
    queue_77 = store(q19,seq,earray_76),
    inference(nnf_transformation,[status(thm)],[f286]) ).

cnf(c286,plain,
    queue_77 = store(q19,seq,earray_76),
    inference(cnf_transformation,[status(esa)],[f286_nnf]) ).

cnf(p1391,plain,
    ( select(queue_77,X0) = select(q19,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c286,c1]) ).

cnf(p13555,plain,
    ( index_279 = select(q19,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13553,p1391]) ).

cnf(p13595,plain,
    ( index_279 = select(q19,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13555]) ).

cnf(f305,hypothesis,
    q19 = queue_67,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp295) ).

fof(f305_nnf,plain,
    q19 = queue_67,
    inference(nnf_transformation,[status(thm)],[f305]) ).

cnf(c305,plain,
    q19 = queue_67,
    inference(cnf_transformation,[status(esa)],[f305_nnf]) ).

cnf(f282,hypothesis,
    queue_67 = store(queue_65,tail,index_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp272) ).

fof(f282_nnf,plain,
    queue_67 = store(queue_65,tail,index_66),
    inference(nnf_transformation,[status(thm)],[f282]) ).

cnf(c282,plain,
    queue_67 = store(queue_65,tail,index_66),
    inference(cnf_transformation,[status(esa)],[f282_nnf]) ).

cnf(p1362,plain,
    ( select(queue_67,X0) = select(queue_65,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c282,c1]) ).

cnf(p3844,plain,
    ( select(q19,X0) = select(queue_65,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c305,p1362]) ).

cnf(p13597,plain,
    ( index_279 = select(queue_65,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13595,p3844]) ).

cnf(p13637,plain,
    ( index_279 = select(queue_65,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13597]) ).

cnf(f281,hypothesis,
    queue_65 = store(q18,seq,earray_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp271) ).

fof(f281_nnf,plain,
    queue_65 = store(q18,seq,earray_64),
    inference(nnf_transformation,[status(thm)],[f281]) ).

cnf(c281,plain,
    queue_65 = store(q18,seq,earray_64),
    inference(cnf_transformation,[status(esa)],[f281_nnf]) ).

cnf(p1344,plain,
    ( select(queue_65,X0) = select(q18,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c281,c1]) ).

cnf(p13639,plain,
    ( index_279 = select(q18,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13637,p1344]) ).

cnf(p13673,plain,
    ( index_279 = select(q18,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13639]) ).

cnf(f303,hypothesis,
    q17 = queue_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp293) ).

fof(f303_nnf,plain,
    q17 = queue_55,
    inference(nnf_transformation,[status(thm)],[f303]) ).

cnf(c303,plain,
    q17 = queue_55,
    inference(cnf_transformation,[status(esa)],[f303_nnf]) ).

cnf(f278,hypothesis,
    queue_55 = store(queue_53,tail,index_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp268) ).

fof(f278_nnf,plain,
    queue_55 = store(queue_53,tail,index_54),
    inference(nnf_transformation,[status(thm)],[f278]) ).

cnf(c278,plain,
    queue_55 = store(queue_53,tail,index_54),
    inference(cnf_transformation,[status(esa)],[f278_nnf]) ).

cnf(p1318,plain,
    select(queue_55,tail) = index_54,
    inference(superposition,[status(thm)],[c278,c0]) ).

cnf(p2347,plain,
    select(q17,tail) = index_54,
    inference(superposition,[status(thm)],[c303,p1318]) ).

cnf(f184,hypothesis,
    index_57 = select(q17,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp174) ).

fof(f184_nnf,plain,
    index_57 = select(q17,tail),
    inference(nnf_transformation,[status(thm)],[f184]) ).

cnf(c184,plain,
    index_57 = select(q17,tail),
    inference(cnf_transformation,[status(esa)],[f184_nnf]) ).

cnf(p2348,plain,
    index_57 = index_54,
    inference(demodulation,[status(thm)],[p2347,c184]) ).

cnf(f183,hypothesis,
    index_54 = s(index_51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp173) ).

fof(f183_nnf,plain,
    index_54 = s(index_51),
    inference(nnf_transformation,[status(thm)],[f183]) ).

cnf(c183,plain,
    index_54 = s(index_51),
    inference(cnf_transformation,[status(esa)],[f183_nnf]) ).

cnf(p461,plain,
    p(index_54) = index_51,
    inference(superposition,[status(thm)],[c183,c5]) ).

cnf(p2352,plain,
    p(index_57) = index_51,
    inference(superposition,[status(thm)],[p2348,p461]) ).

cnf(f186,hypothesis,
    index_60 = s(index_57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp176) ).

fof(f186_nnf,plain,
    index_60 = s(index_57),
    inference(nnf_transformation,[status(thm)],[f186]) ).

cnf(c186,plain,
    index_60 = s(index_57),
    inference(cnf_transformation,[status(esa)],[f186_nnf]) ).

cnf(p466,plain,
    p(index_60) = index_57,
    inference(superposition,[status(thm)],[c186,c5]) ).

cnf(p596,plain,
    s(index_57) = index_60,
    inference(superposition,[status(thm)],[p466,c6]) ).

cnf(p1534,plain,
    s(index_60) = p(index_57),
    inference(superposition,[status(thm)],[p596,p346]) ).

cnf(p2354,plain,
    s(index_60) = index_51,
    inference(demodulation,[status(thm)],[p2352,p1534]) ).

cnf(p2373,plain,
    index_45 = index_60,
    inference(superposition,[status(thm)],[p2354,c5]) ).

cnf(p2376,plain,
    index_60 = index_45,
    inference(superposition,[status(thm)],[p2373,p596]) ).

cnf(f304,hypothesis,
    q18 = queue_61,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp294) ).

fof(f304_nnf,plain,
    q18 = queue_61,
    inference(nnf_transformation,[status(thm)],[f304]) ).

cnf(c304,plain,
    q18 = queue_61,
    inference(cnf_transformation,[status(esa)],[f304_nnf]) ).

cnf(f280,hypothesis,
    queue_61 = store(queue_59,tail,index_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp270) ).

fof(f280_nnf,plain,
    queue_61 = store(queue_59,tail,index_60),
    inference(nnf_transformation,[status(thm)],[f280]) ).

cnf(c280,plain,
    queue_61 = store(queue_59,tail,index_60),
    inference(cnf_transformation,[status(esa)],[f280_nnf]) ).

cnf(p1342,plain,
    q18 = store(queue_59,tail,index_60),
    inference(superposition,[status(thm)],[c304,c280]) ).

cnf(p2379,plain,
    q18 = store(queue_59,tail,index_45),
    inference(demodulation,[status(thm)],[p2376,p1342]) ).

cnf(p3828,plain,
    ( select(q18,X0) = select(queue_59,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[p2379,c1]) ).

cnf(p13675,plain,
    ( index_279 = select(queue_59,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13673,p3828]) ).

cnf(p13715,plain,
    ( index_279 = select(queue_59,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13675]) ).

cnf(f279,hypothesis,
    queue_59 = store(q17,seq,earray_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp269) ).

fof(f279_nnf,plain,
    queue_59 = store(q17,seq,earray_58),
    inference(nnf_transformation,[status(thm)],[f279]) ).

cnf(c279,plain,
    queue_59 = store(q17,seq,earray_58),
    inference(cnf_transformation,[status(esa)],[f279_nnf]) ).

cnf(p1326,plain,
    ( select(queue_59,X0) = select(q17,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c279,c1]) ).

cnf(p13717,plain,
    ( index_279 = select(q17,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13715,p1326]) ).

cnf(p13749,plain,
    ( index_279 = select(q17,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13717]) ).

cnf(p1319,plain,
    ( select(queue_55,X0) = select(queue_53,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c278,c1]) ).

cnf(p3812,plain,
    ( select(q17,X0) = select(queue_53,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c303,p1319]) ).

cnf(p13752,plain,
    ( index_279 = select(queue_53,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13749,p3812]) ).

cnf(p13791,plain,
    ( index_279 = select(queue_53,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13752]) ).

cnf(f277,hypothesis,
    queue_53 = store(q16,seq,earray_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp267) ).

fof(f277_nnf,plain,
    queue_53 = store(q16,seq,earray_52),
    inference(nnf_transformation,[status(thm)],[f277]) ).

cnf(c277,plain,
    queue_53 = store(q16,seq,earray_52),
    inference(cnf_transformation,[status(esa)],[f277_nnf]) ).

cnf(p1317,plain,
    ( select(queue_53,X0) = select(q16,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c277,c1]) ).

cnf(p13793,plain,
    ( index_279 = select(q16,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13791,p1317]) ).

cnf(p13836,plain,
    ( index_279 = select(q16,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13793]) ).

cnf(f302,hypothesis,
    q16 = queue_49,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp292) ).

fof(f302_nnf,plain,
    q16 = queue_49,
    inference(nnf_transformation,[status(thm)],[f302]) ).

cnf(c302,plain,
    q16 = queue_49,
    inference(cnf_transformation,[status(esa)],[f302_nnf]) ).

cnf(f275,hypothesis,
    queue_49 = store(queue_47,tail,index_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp265) ).

fof(f275_nnf,plain,
    queue_49 = store(queue_47,tail,index_48),
    inference(nnf_transformation,[status(thm)],[f275]) ).

cnf(c275,plain,
    queue_49 = store(queue_47,tail,index_48),
    inference(cnf_transformation,[status(esa)],[f275_nnf]) ).

cnf(p1295,plain,
    ( select(queue_49,X0) = select(queue_47,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c275,c1]) ).

cnf(p3770,plain,
    ( select(q16,X0) = select(queue_47,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c302,p1295]) ).

cnf(p13838,plain,
    ( index_279 = select(queue_47,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13836,p3770]) ).

cnf(p13874,plain,
    ( index_279 = select(queue_47,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13838]) ).

cnf(f274,hypothesis,
    queue_47 = store(q15,seq,earray_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp264) ).

fof(f274_nnf,plain,
    queue_47 = store(q15,seq,earray_46),
    inference(nnf_transformation,[status(thm)],[f274]) ).

cnf(c274,plain,
    queue_47 = store(q15,seq,earray_46),
    inference(cnf_transformation,[status(esa)],[f274_nnf]) ).

cnf(p1293,plain,
    ( select(queue_47,X0) = select(q15,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c274,c1]) ).

cnf(p13876,plain,
    ( index_279 = select(q15,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13874,p1293]) ).

cnf(p13918,plain,
    ( index_279 = select(q15,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13876]) ).

cnf(f301,hypothesis,
    q15 = queue_43,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp291) ).

fof(f301_nnf,plain,
    q15 = queue_43,
    inference(nnf_transformation,[status(thm)],[f301]) ).

cnf(c301,plain,
    q15 = queue_43,
    inference(cnf_transformation,[status(esa)],[f301_nnf]) ).

cnf(f273,hypothesis,
    queue_43 = store(queue_41,tail,index_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp263) ).

fof(f273_nnf,plain,
    queue_43 = store(queue_41,tail,index_42),
    inference(nnf_transformation,[status(thm)],[f273]) ).

cnf(c273,plain,
    queue_43 = store(queue_41,tail,index_42),
    inference(cnf_transformation,[status(esa)],[f273_nnf]) ).

cnf(p1273,plain,
    ( select(queue_43,X0) = select(queue_41,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c273,c1]) ).

cnf(p3750,plain,
    ( select(q15,X0) = select(queue_41,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c301,p1273]) ).

cnf(p13920,plain,
    ( index_279 = select(queue_41,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13918,p3750]) ).

cnf(p13961,plain,
    ( index_279 = select(queue_41,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13920]) ).

cnf(f272,hypothesis,
    queue_41 = store(q14,seq,earray_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp262) ).

fof(f272_nnf,plain,
    queue_41 = store(q14,seq,earray_40),
    inference(nnf_transformation,[status(thm)],[f272]) ).

cnf(c272,plain,
    queue_41 = store(q14,seq,earray_40),
    inference(cnf_transformation,[status(esa)],[f272_nnf]) ).

cnf(p1270,plain,
    ( select(queue_41,X0) = select(q14,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c272,c1]) ).

cnf(p13963,plain,
    ( index_279 = select(q14,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p13961,p1270]) ).

cnf(p14004,plain,
    ( index_279 = select(q14,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p13963]) ).

cnf(f300,hypothesis,
    q14 = queue_37,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp290) ).

fof(f300_nnf,plain,
    q14 = queue_37,
    inference(nnf_transformation,[status(thm)],[f300]) ).

cnf(c300,plain,
    q14 = queue_37,
    inference(cnf_transformation,[status(esa)],[f300_nnf]) ).

cnf(f271,hypothesis,
    queue_37 = store(queue_35,tail,index_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp261) ).

fof(f271_nnf,plain,
    queue_37 = store(queue_35,tail,index_36),
    inference(nnf_transformation,[status(thm)],[f271]) ).

cnf(c271,plain,
    queue_37 = store(queue_35,tail,index_36),
    inference(cnf_transformation,[status(esa)],[f271_nnf]) ).

cnf(p1267,plain,
    ( select(queue_37,X0) = select(queue_35,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c271,c1]) ).

cnf(p3726,plain,
    ( select(q14,X0) = select(queue_35,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c300,p1267]) ).

cnf(p14006,plain,
    ( index_279 = select(queue_35,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14004,p3726]) ).

cnf(p14039,plain,
    ( index_279 = select(queue_35,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14006]) ).

cnf(f270,hypothesis,
    queue_35 = store(q13,seq,earray_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp260) ).

fof(f270_nnf,plain,
    queue_35 = store(q13,seq,earray_34),
    inference(nnf_transformation,[status(thm)],[f270]) ).

cnf(c270,plain,
    queue_35 = store(q13,seq,earray_34),
    inference(cnf_transformation,[status(esa)],[f270_nnf]) ).

cnf(p1248,plain,
    ( select(queue_35,X0) = select(q13,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c270,c1]) ).

cnf(p14041,plain,
    ( index_279 = select(q13,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14039,p1248]) ).

cnf(p14081,plain,
    ( index_279 = select(q13,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14041]) ).

cnf(f299,hypothesis,
    q13 = queue_31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp289) ).

fof(f299_nnf,plain,
    q13 = queue_31,
    inference(nnf_transformation,[status(thm)],[f299]) ).

cnf(c299,plain,
    q13 = queue_31,
    inference(cnf_transformation,[status(esa)],[f299_nnf]) ).

cnf(f269,hypothesis,
    queue_31 = store(queue_29,tail,index_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp259) ).

fof(f269_nnf,plain,
    queue_31 = store(queue_29,tail,index_30),
    inference(nnf_transformation,[status(thm)],[f269]) ).

cnf(c269,plain,
    queue_31 = store(queue_29,tail,index_30),
    inference(cnf_transformation,[status(esa)],[f269_nnf]) ).

cnf(p1245,plain,
    ( select(queue_31,X0) = select(queue_29,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c269,c1]) ).

cnf(p3701,plain,
    ( select(q13,X0) = select(queue_29,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c299,p1245]) ).

cnf(p14083,plain,
    ( index_279 = select(queue_29,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14081,p3701]) ).

cnf(p14122,plain,
    ( index_279 = select(queue_29,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14083]) ).

cnf(f268,hypothesis,
    queue_29 = store(q12,seq,earray_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp258) ).

fof(f268_nnf,plain,
    queue_29 = store(q12,seq,earray_28),
    inference(nnf_transformation,[status(thm)],[f268]) ).

cnf(c268,plain,
    queue_29 = store(q12,seq,earray_28),
    inference(cnf_transformation,[status(esa)],[f268_nnf]) ).

cnf(p1243,plain,
    ( select(queue_29,X0) = select(q12,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c268,c1]) ).

cnf(p14124,plain,
    ( index_279 = select(q12,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14122,p1243]) ).

cnf(p14153,plain,
    ( index_279 = select(q12,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14124]) ).

cnf(f298,hypothesis,
    q12 = queue_25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp288) ).

fof(f298_nnf,plain,
    q12 = queue_25,
    inference(nnf_transformation,[status(thm)],[f298]) ).

cnf(c298,plain,
    q12 = queue_25,
    inference(cnf_transformation,[status(esa)],[f298_nnf]) ).

cnf(f257,hypothesis,
    queue_25 = store(queue_23,tail,index_24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp247) ).

fof(f257_nnf,plain,
    queue_25 = store(queue_23,tail,index_24),
    inference(nnf_transformation,[status(thm)],[f257]) ).

cnf(c257,plain,
    queue_25 = store(queue_23,tail,index_24),
    inference(cnf_transformation,[status(esa)],[f257_nnf]) ).

cnf(p1147,plain,
    ( select(queue_25,X0) = select(queue_23,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c257,c1]) ).

cnf(p3610,plain,
    ( select(q12,X0) = select(queue_23,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c298,p1147]) ).

cnf(p14160,plain,
    ( index_279 = select(queue_23,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14153,p3610]) ).

cnf(p14200,plain,
    ( index_279 = select(queue_23,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14160]) ).

cnf(f250,hypothesis,
    queue_23 = store(q11,seq,earray_22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp240) ).

fof(f250_nnf,plain,
    queue_23 = store(q11,seq,earray_22),
    inference(nnf_transformation,[status(thm)],[f250]) ).

cnf(c250,plain,
    queue_23 = store(q11,seq,earray_22),
    inference(cnf_transformation,[status(esa)],[f250_nnf]) ).

cnf(p1080,plain,
    ( select(queue_23,X0) = select(q11,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c250,c1]) ).

cnf(p14202,plain,
    ( index_279 = select(q11,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14200,p1080]) ).

cnf(p14243,plain,
    ( index_279 = select(q11,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14202]) ).

cnf(f297,hypothesis,
    q11 = queue_19,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp287) ).

fof(f297_nnf,plain,
    q11 = queue_19,
    inference(nnf_transformation,[status(thm)],[f297]) ).

cnf(c297,plain,
    q11 = queue_19,
    inference(cnf_transformation,[status(esa)],[f297_nnf]) ).

cnf(f235,hypothesis,
    queue_19 = store(queue_17,tail,index_18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp225) ).

fof(f235_nnf,plain,
    queue_19 = store(queue_17,tail,index_18),
    inference(nnf_transformation,[status(thm)],[f235]) ).

cnf(c235,plain,
    queue_19 = store(queue_17,tail,index_18),
    inference(cnf_transformation,[status(esa)],[f235_nnf]) ).

cnf(p950,plain,
    ( select(queue_19,X0) = select(queue_17,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c235,c1]) ).

cnf(p3249,plain,
    ( select(q11,X0) = select(queue_17,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c297,p950]) ).

cnf(p14245,plain,
    ( index_279 = select(queue_17,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14243,p3249]) ).

cnf(p14284,plain,
    ( index_279 = select(queue_17,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14245]) ).

cnf(f228,hypothesis,
    queue_17 = store(q10,seq,earray_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp218) ).

fof(f228_nnf,plain,
    queue_17 = store(q10,seq,earray_16),
    inference(nnf_transformation,[status(thm)],[f228]) ).

cnf(c228,plain,
    queue_17 = store(q10,seq,earray_16),
    inference(cnf_transformation,[status(esa)],[f228_nnf]) ).

cnf(p904,plain,
    ( select(queue_17,X0) = select(q10,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c228,c1]) ).

cnf(p14286,plain,
    ( index_279 = select(q10,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14284,p904]) ).

cnf(p14325,plain,
    ( index_279 = select(q10,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14286]) ).

cnf(f296,hypothesis,
    q10 = queue_13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp286) ).

fof(f296_nnf,plain,
    q10 = queue_13,
    inference(nnf_transformation,[status(thm)],[f296]) ).

cnf(c296,plain,
    q10 = queue_13,
    inference(cnf_transformation,[status(esa)],[f296_nnf]) ).

cnf(f213,hypothesis,
    queue_13 = store(queue_11,tail,index_12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp203) ).

fof(f213_nnf,plain,
    queue_13 = store(queue_11,tail,index_12),
    inference(nnf_transformation,[status(thm)],[f213]) ).

cnf(c213,plain,
    queue_13 = store(queue_11,tail,index_12),
    inference(cnf_transformation,[status(esa)],[f213_nnf]) ).

cnf(p854,plain,
    ( select(queue_13,X0) = select(queue_11,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c213,c1]) ).

cnf(p2815,plain,
    ( select(q10,X0) = select(queue_11,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c296,p854]) ).

cnf(p14328,plain,
    ( index_279 = select(queue_11,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14325,p2815]) ).

cnf(p14372,plain,
    ( index_279 = select(queue_11,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14328]) ).

cnf(f206,hypothesis,
    queue_11 = store(q9,seq,earray_10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp196) ).

fof(f206_nnf,plain,
    queue_11 = store(q9,seq,earray_10),
    inference(nnf_transformation,[status(thm)],[f206]) ).

cnf(c206,plain,
    queue_11 = store(q9,seq,earray_10),
    inference(cnf_transformation,[status(esa)],[f206_nnf]) ).

cnf(p836,plain,
    ( select(queue_11,X0) = select(q9,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c206,c1]) ).

cnf(p14374,plain,
    ( index_279 = select(q9,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14372,p836]) ).

cnf(p14412,plain,
    ( index_279 = select(q9,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14374]) ).

cnf(f340,hypothesis,
    q9 = queue_277,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp330) ).

fof(f340_nnf,plain,
    q9 = queue_277,
    inference(nnf_transformation,[status(thm)],[f340]) ).

cnf(c340,plain,
    q9 = queue_277,
    inference(cnf_transformation,[status(esa)],[f340_nnf]) ).

cnf(f267,hypothesis,
    queue_277 = store(queue_275,tail,index_276),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp257) ).

fof(f267_nnf,plain,
    queue_277 = store(queue_275,tail,index_276),
    inference(nnf_transformation,[status(thm)],[f267]) ).

cnf(c267,plain,
    queue_277 = store(queue_275,tail,index_276),
    inference(cnf_transformation,[status(esa)],[f267_nnf]) ).

cnf(p1223,plain,
    ( select(queue_277,X0) = select(queue_275,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c267,c1]) ).

cnf(p3670,plain,
    ( select(q9,X0) = select(queue_275,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c340,p1223]) ).

cnf(p14414,plain,
    ( index_279 = select(queue_275,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14412,p3670]) ).

cnf(p14454,plain,
    ( index_279 = select(queue_275,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14414]) ).

cnf(f266,hypothesis,
    queue_275 = store(q8,seq,earray_274),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp256) ).

fof(f266_nnf,plain,
    queue_275 = store(q8,seq,earray_274),
    inference(nnf_transformation,[status(thm)],[f266]) ).

cnf(c266,plain,
    queue_275 = store(q8,seq,earray_274),
    inference(cnf_transformation,[status(esa)],[f266_nnf]) ).

cnf(p1221,plain,
    ( select(queue_275,X0) = select(q8,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c266,c1]) ).

cnf(p14456,plain,
    ( index_279 = select(q8,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14454,p1221]) ).

cnf(p14496,plain,
    ( index_279 = select(q8,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14456]) ).

cnf(f339,hypothesis,
    q8 = queue_271,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp329) ).

fof(f339_nnf,plain,
    q8 = queue_271,
    inference(nnf_transformation,[status(thm)],[f339]) ).

cnf(c339,plain,
    q8 = queue_271,
    inference(cnf_transformation,[status(esa)],[f339_nnf]) ).

cnf(f265,hypothesis,
    queue_271 = store(queue_269,tail,index_270),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp255) ).

fof(f265_nnf,plain,
    queue_271 = store(queue_269,tail,index_270),
    inference(nnf_transformation,[status(thm)],[f265]) ).

cnf(c265,plain,
    queue_271 = store(queue_269,tail,index_270),
    inference(cnf_transformation,[status(esa)],[f265_nnf]) ).

cnf(p1205,plain,
    ( select(queue_271,X0) = select(queue_269,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c265,c1]) ).

cnf(p3651,plain,
    ( select(q8,X0) = select(queue_269,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c339,p1205]) ).

cnf(p14498,plain,
    ( index_279 = select(queue_269,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14496,p3651]) ).

cnf(p14544,plain,
    ( index_279 = select(queue_269,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14498]) ).

cnf(f264,hypothesis,
    queue_269 = store(q7,seq,earray_268),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp254) ).

fof(f264_nnf,plain,
    queue_269 = store(q7,seq,earray_268),
    inference(nnf_transformation,[status(thm)],[f264]) ).

cnf(c264,plain,
    queue_269 = store(q7,seq,earray_268),
    inference(cnf_transformation,[status(esa)],[f264_nnf]) ).

cnf(p1199,plain,
    ( select(queue_269,X0) = select(q7,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c264,c1]) ).

cnf(p14546,plain,
    ( index_279 = select(q7,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14544,p1199]) ).

cnf(p14577,plain,
    ( index_279 = select(q7,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14546]) ).

cnf(f338,hypothesis,
    q7 = queue_265,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp328) ).

fof(f338_nnf,plain,
    q7 = queue_265,
    inference(nnf_transformation,[status(thm)],[f338]) ).

cnf(c338,plain,
    q7 = queue_265,
    inference(cnf_transformation,[status(esa)],[f338_nnf]) ).

cnf(f263,hypothesis,
    queue_265 = store(queue_263,tail,index_264),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp253) ).

fof(f263_nnf,plain,
    queue_265 = store(queue_263,tail,index_264),
    inference(nnf_transformation,[status(thm)],[f263]) ).

cnf(c263,plain,
    queue_265 = store(queue_263,tail,index_264),
    inference(cnf_transformation,[status(esa)],[f263_nnf]) ).

cnf(p1196,plain,
    ( select(queue_265,X0) = select(queue_263,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c263,c1]) ).

cnf(p3634,plain,
    ( select(q7,X0) = select(queue_263,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c338,p1196]) ).

cnf(p14579,plain,
    ( index_279 = select(queue_263,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14577,p3634]) ).

cnf(p14623,plain,
    ( index_279 = select(queue_263,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14579]) ).

cnf(f262,hypothesis,
    queue_263 = store(q6,seq,earray_262),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp252) ).

fof(f262_nnf,plain,
    queue_263 = store(q6,seq,earray_262),
    inference(nnf_transformation,[status(thm)],[f262]) ).

cnf(c262,plain,
    queue_263 = store(q6,seq,earray_262),
    inference(cnf_transformation,[status(esa)],[f262_nnf]) ).

cnf(p1178,plain,
    ( select(queue_263,X0) = select(q6,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c262,c1]) ).

cnf(p14625,plain,
    ( index_279 = select(q6,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14623,p1178]) ).

cnf(p14661,plain,
    ( index_279 = select(q6,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14625]) ).

cnf(f337,hypothesis,
    q6 = queue_259,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp327) ).

fof(f337_nnf,plain,
    q6 = queue_259,
    inference(nnf_transformation,[status(thm)],[f337]) ).

cnf(c337,plain,
    q6 = queue_259,
    inference(cnf_transformation,[status(esa)],[f337_nnf]) ).

cnf(f261,hypothesis,
    queue_259 = store(queue_257,tail,index_258),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp251) ).

fof(f261_nnf,plain,
    queue_259 = store(queue_257,tail,index_258),
    inference(nnf_transformation,[status(thm)],[f261]) ).

cnf(c261,plain,
    queue_259 = store(queue_257,tail,index_258),
    inference(cnf_transformation,[status(esa)],[f261_nnf]) ).

cnf(p1174,plain,
    ( select(queue_259,X0) = select(queue_257,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c261,c1]) ).

cnf(p3622,plain,
    ( select(q6,X0) = select(queue_257,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c337,p1174]) ).

cnf(p14663,plain,
    ( index_279 = select(queue_257,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14661,p3622]) ).

cnf(p14694,plain,
    ( index_279 = select(queue_257,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14663]) ).

cnf(f260,hypothesis,
    queue_257 = store(q5,seq,earray_256),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp250) ).

fof(f260_nnf,plain,
    queue_257 = store(q5,seq,earray_256),
    inference(nnf_transformation,[status(thm)],[f260]) ).

cnf(c260,plain,
    queue_257 = store(q5,seq,earray_256),
    inference(cnf_transformation,[status(esa)],[f260_nnf]) ).

cnf(p1172,plain,
    ( select(queue_257,X0) = select(q5,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c260,c1]) ).

cnf(p14697,plain,
    ( index_279 = select(q5,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14694,p1172]) ).

cnf(p14732,plain,
    ( index_279 = select(q5,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14697]) ).

cnf(f336,hypothesis,
    q5 = queue_253,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp326) ).

fof(f336_nnf,plain,
    q5 = queue_253,
    inference(nnf_transformation,[status(thm)],[f336]) ).

cnf(c336,plain,
    q5 = queue_253,
    inference(cnf_transformation,[status(esa)],[f336_nnf]) ).

cnf(f259,hypothesis,
    queue_253 = store(queue_251,tail,index_252),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp249) ).

fof(f259_nnf,plain,
    queue_253 = store(queue_251,tail,index_252),
    inference(nnf_transformation,[status(thm)],[f259]) ).

cnf(c259,plain,
    queue_253 = store(queue_251,tail,index_252),
    inference(cnf_transformation,[status(esa)],[f259_nnf]) ).

cnf(p1152,plain,
    ( select(queue_253,X0) = select(queue_251,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c259,c1]) ).

cnf(p3615,plain,
    ( select(q5,X0) = select(queue_251,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c336,p1152]) ).

cnf(p14734,plain,
    ( index_279 = select(queue_251,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14732,p3615]) ).

cnf(p14768,plain,
    ( index_279 = select(queue_251,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14734]) ).

cnf(f258,hypothesis,
    queue_251 = store(q4,seq,earray_250),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp248) ).

fof(f258_nnf,plain,
    queue_251 = store(q4,seq,earray_250),
    inference(nnf_transformation,[status(thm)],[f258]) ).

cnf(c258,plain,
    queue_251 = store(q4,seq,earray_250),
    inference(cnf_transformation,[status(esa)],[f258_nnf]) ).

cnf(p1150,plain,
    ( select(queue_251,X0) = select(q4,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c258,c1]) ).

cnf(p14777,plain,
    ( index_279 = select(q4,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14768,p1150]) ).

cnf(p14810,plain,
    ( index_279 = select(q4,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14777]) ).

cnf(f328,hypothesis,
    q4 = queue_205,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp318) ).

fof(f328_nnf,plain,
    q4 = queue_205,
    inference(nnf_transformation,[status(thm)],[f328]) ).

cnf(c328,plain,
    q4 = queue_205,
    inference(cnf_transformation,[status(esa)],[f328_nnf]) ).

cnf(f241,hypothesis,
    queue_205 = store(queue_203,tail,index_204),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp231) ).

fof(f241_nnf,plain,
    queue_205 = store(queue_203,tail,index_204),
    inference(nnf_transformation,[status(thm)],[f241]) ).

cnf(c241,plain,
    queue_205 = store(queue_203,tail,index_204),
    inference(cnf_transformation,[status(esa)],[f241_nnf]) ).

cnf(p1005,plain,
    ( select(queue_205,X0) = select(queue_203,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c241,c1]) ).

cnf(p3535,plain,
    ( select(q4,X0) = select(queue_203,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c328,p1005]) ).

cnf(p14812,plain,
    ( index_279 = select(queue_203,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14810,p3535]) ).

cnf(p14848,plain,
    ( index_279 = select(queue_203,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14812]) ).

cnf(f240,hypothesis,
    queue_203 = store(q3,seq,earray_202),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp230) ).

fof(f240_nnf,plain,
    queue_203 = store(q3,seq,earray_202),
    inference(nnf_transformation,[status(thm)],[f240]) ).

cnf(c240,plain,
    queue_203 = store(q3,seq,earray_202),
    inference(cnf_transformation,[status(esa)],[f240_nnf]) ).

cnf(p987,plain,
    ( select(queue_203,X0) = select(q3,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c240,c1]) ).

cnf(p14850,plain,
    ( index_279 = select(q3,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14848,p987]) ).

cnf(p14884,plain,
    ( index_279 = select(q3,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14850]) ).

cnf(f317,hypothesis,
    q3 = queue_139,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp307) ).

fof(f317_nnf,plain,
    q3 = queue_139,
    inference(nnf_transformation,[status(thm)],[f317]) ).

cnf(c317,plain,
    q3 = queue_139,
    inference(cnf_transformation,[status(esa)],[f317_nnf]) ).

cnf(f217,hypothesis,
    queue_139 = store(queue_137,tail,index_138),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp207) ).

fof(f217_nnf,plain,
    queue_139 = store(queue_137,tail,index_138),
    inference(nnf_transformation,[status(thm)],[f217]) ).

cnf(c217,plain,
    queue_139 = store(queue_137,tail,index_138),
    inference(cnf_transformation,[status(esa)],[f217_nnf]) ).

cnf(p863,plain,
    ( select(queue_139,X0) = select(queue_137,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c217,c1]) ).

cnf(p2827,plain,
    ( select(q3,X0) = select(queue_137,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c317,p863]) ).

cnf(p14886,plain,
    ( index_279 = select(queue_137,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14884,p2827]) ).

cnf(p14915,plain,
    ( index_279 = select(queue_137,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14886]) ).

cnf(f216,hypothesis,
    queue_137 = store(q2,seq,earray_136),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp206) ).

fof(f216_nnf,plain,
    queue_137 = store(q2,seq,earray_136),
    inference(nnf_transformation,[status(thm)],[f216]) ).

cnf(c216,plain,
    queue_137 = store(q2,seq,earray_136),
    inference(cnf_transformation,[status(esa)],[f216_nnf]) ).

cnf(p861,plain,
    ( select(queue_137,X0) = select(q2,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c216,c1]) ).

cnf(p14921,plain,
    ( index_279 = select(q2,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14915,p861]) ).

cnf(p14948,plain,
    ( index_279 = select(q2,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14921]) ).

cnf(f306,hypothesis,
    q2 = queue_73,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp296) ).

fof(f306_nnf,plain,
    q2 = queue_73,
    inference(nnf_transformation,[status(thm)],[f306]) ).

cnf(c306,plain,
    q2 = queue_73,
    inference(cnf_transformation,[status(esa)],[f306_nnf]) ).

cnf(f285,hypothesis,
    queue_73 = store(queue_71,tail,index_72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp275) ).

fof(f285_nnf,plain,
    queue_73 = store(queue_71,tail,index_72),
    inference(nnf_transformation,[status(thm)],[f285]) ).

cnf(c285,plain,
    queue_73 = store(queue_71,tail,index_72),
    inference(cnf_transformation,[status(esa)],[f285_nnf]) ).

cnf(p1388,plain,
    ( select(queue_73,X0) = select(queue_71,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c285,c1]) ).

cnf(p3880,plain,
    ( select(q2,X0) = select(queue_71,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c306,p1388]) ).

cnf(p14950,plain,
    ( index_279 = select(queue_71,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14948,p3880]) ).

cnf(p14988,plain,
    ( index_279 = select(queue_71,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14950]) ).

cnf(f284,hypothesis,
    queue_71 = store(q1,seq,earray_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp274) ).

fof(f284_nnf,plain,
    queue_71 = store(q1,seq,earray_70),
    inference(nnf_transformation,[status(thm)],[f284]) ).

cnf(c284,plain,
    queue_71 = store(q1,seq,earray_70),
    inference(cnf_transformation,[status(esa)],[f284_nnf]) ).

cnf(p1369,plain,
    ( select(queue_71,X0) = select(q1,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c284,c1]) ).

cnf(p14990,plain,
    ( index_279 = select(q1,head)
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p14988,p1369]) ).

cnf(p15029,plain,
    ( index_279 = select(q1,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p14990]) ).

cnf(f295,hypothesis,
    q1 = queue_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp285) ).

fof(f295_nnf,plain,
    q1 = queue_7,
    inference(nnf_transformation,[status(thm)],[f295]) ).

cnf(c295,plain,
    q1 = queue_7,
    inference(cnf_transformation,[status(esa)],[f295_nnf]) ).

cnf(f283,hypothesis,
    queue_7 = store(queue_5,tail,index_6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp273) ).

fof(f283_nnf,plain,
    queue_7 = store(queue_5,tail,index_6),
    inference(nnf_transformation,[status(thm)],[f283]) ).

cnf(c283,plain,
    queue_7 = store(queue_5,tail,index_6),
    inference(cnf_transformation,[status(esa)],[f283_nnf]) ).

cnf(p1366,plain,
    ( select(queue_7,X0) = select(queue_5,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c283,c1]) ).

cnf(p3849,plain,
    ( select(q1,X0) = select(queue_5,X0)
    | tail = X0 ),
    inference(superposition,[status(thm)],[c295,p1366]) ).

cnf(p15031,plain,
    ( index_279 = select(queue_5,head)
    | tail = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p15029,p3849]) ).

cnf(p15055,plain,
    ( index_279 = select(queue_5,head)
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p15031]) ).

cnf(f276,hypothesis,
    queue_5 = store(q0,seq,earray_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp266) ).

fof(f276_nnf,plain,
    queue_5 = store(q0,seq,earray_4),
    inference(nnf_transformation,[status(thm)],[f276]) ).

cnf(c276,plain,
    queue_5 = store(q0,seq,earray_4),
    inference(cnf_transformation,[status(esa)],[f276_nnf]) ).

cnf(p1299,plain,
    ( select(queue_5,X0) = select(q0,X0)
    | seq = X0 ),
    inference(superposition,[status(thm)],[c276,c1]) ).

cnf(p15057,plain,
    ( index_279 = index_0
    | seq = head
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p15055,p1299]) ).

cnf(p15061,plain,
    ( index_279 = index_0
    | seq = head
    | tail = head ),
    inference(factoring,[status(thm)],[p15057]) ).

cnf(f294,hypothesis,
    q0 = queue_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp284) ).

fof(f294_nnf,plain,
    q0 = queue_1,
    inference(nnf_transformation,[status(thm)],[f294]) ).

cnf(c294,plain,
    q0 = queue_1,
    inference(cnf_transformation,[status(esa)],[f294_nnf]) ).

cnf(f201,hypothesis,
    queue_1 = store(q,head,index_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp191) ).

fof(f201_nnf,plain,
    queue_1 = store(q,head,index_0),
    inference(nnf_transformation,[status(thm)],[f201]) ).

cnf(c201,plain,
    queue_1 = store(q,head,index_0),
    inference(cnf_transformation,[status(esa)],[f201_nnf]) ).

cnf(p727,plain,
    q0 = store(q,head,index_0),
    inference(superposition,[status(thm)],[c294,c201]) ).

cnf(p2723,plain,
    queue_1 = q0,
    inference(superposition,[status(thm)],[p727,c201]) ).

cnf(f105,hypothesis,
    index_0 = select(q,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp95) ).

fof(f105_nnf,plain,
    index_0 = select(q,tail),
    inference(nnf_transformation,[status(thm)],[f105]) ).

cnf(c105,plain,
    index_0 = select(q,tail),
    inference(cnf_transformation,[status(esa)],[f105_nnf]) ).

cnf(p657,plain,
    ( select(store(q,X0,X1),tail) = index_0
    | X0 = tail ),
    inference(superposition,[status(thm)],[c105,c1]) ).

cnf(p2346,plain,
    ( select(queue_1,tail) = index_0
    | head = tail ),
    inference(superposition,[status(thm)],[c201,p657]) ).

cnf(p2724,plain,
    ( select(q0,tail) = index_0
    | head = tail ),
    inference(demodulation,[status(thm)],[p2723,p2346]) ).

cnf(p1195,plain,
    select(queue_265,tail) = index_264,
    inference(superposition,[status(thm)],[c263,c0]) ).

cnf(p2178,plain,
    select(q7,tail) = index_264,
    inference(superposition,[status(thm)],[c338,p1195]) ).

cnf(f166,hypothesis,
    index_267 = select(q7,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp156) ).

fof(f166_nnf,plain,
    index_267 = select(q7,tail),
    inference(nnf_transformation,[status(thm)],[f166]) ).

cnf(c166,plain,
    index_267 = select(q7,tail),
    inference(cnf_transformation,[status(esa)],[f166_nnf]) ).

cnf(p2179,plain,
    index_267 = index_264,
    inference(demodulation,[status(thm)],[p2178,c166]) ).

cnf(f165,hypothesis,
    index_264 = s(index_261),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp155) ).

fof(f165_nnf,plain,
    index_264 = s(index_261),
    inference(nnf_transformation,[status(thm)],[f165]) ).

cnf(c165,plain,
    index_264 = s(index_261),
    inference(cnf_transformation,[status(esa)],[f165_nnf]) ).

cnf(p438,plain,
    p(index_264) = index_261,
    inference(superposition,[status(thm)],[c165,c5]) ).

cnf(p2183,plain,
    p(index_267) = index_261,
    inference(superposition,[status(thm)],[p2179,p438]) ).

cnf(f168,hypothesis,
    index_270 = s(index_267),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp158) ).

fof(f168_nnf,plain,
    index_270 = s(index_267),
    inference(nnf_transformation,[status(thm)],[f168]) ).

cnf(c168,plain,
    index_270 = s(index_267),
    inference(cnf_transformation,[status(esa)],[f168_nnf]) ).

cnf(p442,plain,
    p(index_270) = index_267,
    inference(superposition,[status(thm)],[c168,c5]) ).

cnf(p572,plain,
    s(index_267) = index_270,
    inference(superposition,[status(thm)],[p442,c6]) ).

cnf(p1526,plain,
    s(index_270) = p(index_267),
    inference(superposition,[status(thm)],[p572,p346]) ).

cnf(p2185,plain,
    s(index_270) = index_261,
    inference(demodulation,[status(thm)],[p2183,p1526]) ).

cnf(p2205,plain,
    index_255 = index_270,
    inference(superposition,[status(thm)],[p2185,c5]) ).

cnf(p2208,plain,
    index_270 = index_255,
    inference(superposition,[status(thm)],[p2205,p572]) ).

cnf(p1204,plain,
    select(queue_271,tail) = index_270,
    inference(superposition,[status(thm)],[c265,c0]) ).

cnf(p2210,plain,
    select(queue_271,tail) = index_255,
    inference(demodulation,[status(thm)],[p2208,p1204]) ).

cnf(p2957,plain,
    select(q8,tail) = index_135,
    inference(superposition,[status(thm)],[c339,p2210]) ).

cnf(p1222,plain,
    select(queue_277,tail) = index_276,
    inference(superposition,[status(thm)],[c267,c0]) ).

cnf(p2217,plain,
    select(q9,tail) = index_276,
    inference(superposition,[status(thm)],[c340,p1222]) ).

cnf(f196,hypothesis,
    index_9 = select(q9,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp186) ).

fof(f196_nnf,plain,
    index_9 = select(q9,tail),
    inference(nnf_transformation,[status(thm)],[f196]) ).

cnf(c196,plain,
    index_9 = select(q9,tail),
    inference(cnf_transformation,[status(esa)],[f196_nnf]) ).

cnf(p2218,plain,
    index_9 = index_276,
    inference(demodulation,[status(thm)],[p2217,c196]) ).

cnf(f170,hypothesis,
    index_276 = s(index_273),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp160) ).

fof(f170_nnf,plain,
    index_276 = s(index_273),
    inference(nnf_transformation,[status(thm)],[f170]) ).

cnf(c170,plain,
    index_276 = s(index_273),
    inference(cnf_transformation,[status(esa)],[f170_nnf]) ).

cnf(p444,plain,
    p(index_276) = index_273,
    inference(superposition,[status(thm)],[c170,c5]) ).

cnf(p2221,plain,
    index_21 = index_273,
    inference(superposition,[status(thm)],[p2218,p444]) ).

cnf(f169,hypothesis,
    index_273 = select(q8,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp159) ).

fof(f169_nnf,plain,
    index_273 = select(q8,tail),
    inference(nnf_transformation,[status(thm)],[f169]) ).

cnf(c169,plain,
    index_273 = select(q8,tail),
    inference(cnf_transformation,[status(esa)],[f169_nnf]) ).

cnf(p2235,plain,
    index_21 = select(q8,tail),
    inference(superposition,[status(thm)],[p2221,c169]) ).

cnf(p2958,plain,
    index_21 = index_135,
    inference(demodulation,[status(thm)],[p2957,p2235]) ).

cnf(p852,plain,
    select(queue_13,tail) = index_12,
    inference(superposition,[status(thm)],[c213,c0]) ).

cnf(p1083,plain,
    select(q10,tail) = index_12,
    inference(superposition,[status(thm)],[c296,p852]) ).

cnf(f123,hypothesis,
    index_15 = select(q10,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp113) ).

fof(f123_nnf,plain,
    index_15 = select(q10,tail),
    inference(nnf_transformation,[status(thm)],[f123]) ).

cnf(c123,plain,
    index_15 = select(q10,tail),
    inference(cnf_transformation,[status(esa)],[f123_nnf]) ).

cnf(p1084,plain,
    index_15 = index_12,
    inference(demodulation,[status(thm)],[p1083,c123]) ).

cnf(f112,hypothesis,
    index_12 = s(index_9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp102) ).

fof(f112_nnf,plain,
    index_12 = s(index_9),
    inference(nnf_transformation,[status(thm)],[f112]) ).

cnf(c112,plain,
    index_12 = s(index_9),
    inference(cnf_transformation,[status(esa)],[f112_nnf]) ).

cnf(p365,plain,
    p(index_12) = index_9,
    inference(superposition,[status(thm)],[c112,c5]) ).

cnf(p1087,plain,
    p(index_15) = index_9,
    inference(superposition,[status(thm)],[p1084,p365]) ).

cnf(p1587,plain,
    index_24 = index_9,
    inference(superposition,[status(thm)],[p1087,p346]) ).

cnf(f156,hypothesis,
    index_24 = s(index_21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp146) ).

fof(f156_nnf,plain,
    index_24 = s(index_21),
    inference(nnf_transformation,[status(thm)],[f156]) ).

cnf(c156,plain,
    index_24 = s(index_21),
    inference(cnf_transformation,[status(esa)],[f156_nnf]) ).

cnf(p425,plain,
    p(index_24) = index_21,
    inference(superposition,[status(thm)],[c156,c5]) ).

cnf(p556,plain,
    s(index_21) = index_24,
    inference(superposition,[status(thm)],[p425,c6]) ).

cnf(p1591,plain,
    s(index_21) = index_9,
    inference(demodulation,[status(thm)],[p1587,p556]) ).

cnf(p3026,plain,
    index_201 = index_9,
    inference(superposition,[status(thm)],[p2958,p1591]) ).

cnf(p1387,plain,
    select(queue_73,tail) = index_72,
    inference(superposition,[status(thm)],[c285,c0]) ).

cnf(p2446,plain,
    select(q2,tail) = index_72,
    inference(superposition,[status(thm)],[c306,p1387]) ).

cnf(f118,hypothesis,
    index_135 = select(q2,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp108) ).

fof(f118_nnf,plain,
    index_135 = select(q2,tail),
    inference(nnf_transformation,[status(thm)],[f118]) ).

cnf(c118,plain,
    index_135 = select(q2,tail),
    inference(cnf_transformation,[status(esa)],[f118_nnf]) ).

cnf(p2447,plain,
    index_135 = index_72,
    inference(demodulation,[status(thm)],[p2446,c118]) ).

cnf(f190,hypothesis,
    index_72 = s(index_69),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp180) ).

fof(f190_nnf,plain,
    index_72 = s(index_69),
    inference(nnf_transformation,[status(thm)],[f190]) ).

cnf(c190,plain,
    index_72 = s(index_69),
    inference(cnf_transformation,[status(esa)],[f190_nnf]) ).

cnf(p472,plain,
    p(index_72) = index_69,
    inference(superposition,[status(thm)],[c190,c5]) ).

cnf(p601,plain,
    s(index_69) = index_72,
    inference(superposition,[status(thm)],[p472,c6]) ).

cnf(p2452,plain,
    index_72 = index_135,
    inference(superposition,[status(thm)],[p2447,p601]) ).

cnf(p1364,plain,
    select(queue_7,tail) = index_6,
    inference(superposition,[status(thm)],[c283,c0]) ).

cnf(p2414,plain,
    select(q1,tail) = index_6,
    inference(superposition,[status(thm)],[c295,p1364]) ).

cnf(f189,hypothesis,
    index_69 = select(q1,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp179) ).

fof(f189_nnf,plain,
    index_69 = select(q1,tail),
    inference(nnf_transformation,[status(thm)],[f189]) ).

cnf(c189,plain,
    index_69 = select(q1,tail),
    inference(cnf_transformation,[status(esa)],[f189_nnf]) ).

cnf(p2415,plain,
    index_69 = index_6,
    inference(demodulation,[status(thm)],[p2414,c189]) ).

cnf(f185,hypothesis,
    index_6 = s(index_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp175) ).

fof(f185_nnf,plain,
    index_6 = s(index_3),
    inference(nnf_transformation,[status(thm)],[f185]) ).

cnf(c185,plain,
    index_6 = s(index_3),
    inference(cnf_transformation,[status(esa)],[f185_nnf]) ).

cnf(p464,plain,
    p(index_6) = index_3,
    inference(superposition,[status(thm)],[c185,c5]) ).

cnf(p2417,plain,
    p(index_69) = index_3,
    inference(superposition,[status(thm)],[p2415,p464]) ).

cnf(p1536,plain,
    s(index_72) = p(index_69),
    inference(superposition,[status(thm)],[p601,p346]) ).

cnf(p2419,plain,
    s(index_72) = index_3,
    inference(demodulation,[status(thm)],[p2417,p1536]) ).

cnf(p2461,plain,
    s(index_135) = index_3,
    inference(demodulation,[status(thm)],[p2452,p2419]) ).

cnf(p862,plain,
    select(queue_139,tail) = index_138,
    inference(superposition,[status(thm)],[c217,c0]) ).

cnf(p1131,plain,
    select(q3,tail) = index_138,
    inference(superposition,[status(thm)],[c317,p862]) ).

cnf(f142,hypothesis,
    index_201 = select(q3,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp132) ).

fof(f142_nnf,plain,
    index_201 = select(q3,tail),
    inference(nnf_transformation,[status(thm)],[f142]) ).

cnf(c142,plain,
    index_201 = select(q3,tail),
    inference(cnf_transformation,[status(esa)],[f142_nnf]) ).

cnf(p1132,plain,
    index_201 = index_138,
    inference(demodulation,[status(thm)],[p1131,c142]) ).

cnf(f119,hypothesis,
    index_138 = s(index_135),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp109) ).

fof(f119_nnf,plain,
    index_138 = s(index_135),
    inference(nnf_transformation,[status(thm)],[f119]) ).

cnf(c119,plain,
    index_138 = s(index_135),
    inference(cnf_transformation,[status(esa)],[f119_nnf]) ).

cnf(p376,plain,
    p(index_138) = index_135,
    inference(superposition,[status(thm)],[c119,c5]) ).

cnf(p507,plain,
    s(index_135) = index_138,
    inference(superposition,[status(thm)],[p376,c6]) ).

cnf(p1137,plain,
    index_138 = index_201,
    inference(superposition,[status(thm)],[p1132,p507]) ).

cnf(p1139,plain,
    s(index_135) = index_201,
    inference(demodulation,[status(thm)],[p1137,p507]) ).

cnf(p2493,plain,
    index_3 = index_201,
    inference(superposition,[status(thm)],[p2461,p1139]) ).

cnf(f174,hypothesis,
    index_3 = select(q0,tail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp164) ).

fof(f174_nnf,plain,
    index_3 = select(q0,tail),
    inference(nnf_transformation,[status(thm)],[f174]) ).

cnf(c174,plain,
    index_3 = select(q0,tail),
    inference(cnf_transformation,[status(esa)],[f174_nnf]) ).

cnf(p2495,plain,
    index_201 = select(q0,tail),
    inference(demodulation,[status(thm)],[p2493,c174]) ).

cnf(p3047,plain,
    index_9 = select(q0,tail),
    inference(demodulation,[status(thm)],[p3026,p2495]) ).

cnf(p4072,plain,
    ( index_9 = index_0
    | head = tail ),
    inference(superposition,[status(thm)],[p2724,p3047]) ).

cnf(p15066,plain,
    ( index_9 = index_279
    | head = tail
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p15061,p4072]) ).

cnf(f103,hypothesis,
    elem_280 = select(earray_278,index_279),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp93) ).

fof(f103_nnf,plain,
    elem_280 = select(earray_278,index_279),
    inference(nnf_transformation,[status(thm)],[f103]) ).

cnf(c103,plain,
    elem_280 = select(earray_278,index_279),
    inference(cnf_transformation,[status(esa)],[f103_nnf]) ).

cnf(p653,plain,
    ( select(store(earray_278,X0,X1),index_279) = elem_280
    | X0 = index_279 ),
    inference(superposition,[status(thm)],[c103,c1]) ).

cnf(p2337,plain,
    ( select(earray_278,index_279) = elem_280
    | X0 = index_279
    | X0 = index_279 ),
    inference(superposition,[status(thm)],[c1,p653]) ).

cnf(p5102,plain,
    ( select(earray_278,index_279) = elem_280
    | X0 = index_279 ),
    inference(factoring,[status(thm)],[p2337]) ).

cnf(f8,axiom,
    s(X) != X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as1) ).

fof(f8_nnf,plain,
    ! [X] : s(X) != X,
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] : s(X) != X,
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    s(X0) != X0,
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p5105,plain,
    select(earray_278,index_279) = elem_280,
    inference(resolution,[status(thm)],[p5102,c8]) ).

cnf(p15102,plain,
    ( elem_283 = elem_280
    | head = tail
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p15066,p5105]) ).

cnf(f341,negated_conjecture,
    elem_280 != elem_283,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f341_nnf,plain,
    elem_280 != elem_283,
    inference(nnf_transformation,[status(thm)],[f341]) ).

fof(f341_sk,plain,
    elem_280 != elem_283,
    inference(skolemisation,[status(esa)],[f341_nnf]) ).

cnf(c341,plain,
    elem_280 != elem_283,
    inference(cnf_transformation,[status(esa)],[f341_sk]) ).

cnf(p15137,plain,
    ( elem_280 != elem_280
    | head = tail
    | seq = head
    | tail = head ),
    inference(superposition,[status(thm)],[p15102,c341]) ).

cnf(p15150,plain,
    ( head = tail
    | seq = head
    | tail = head ),
    inference(equality_resolution,[status(thm)],[p15137]) ).

cnf(f3,axiom,
    head != seq,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',head_distinct_from_seq) ).

fof(f3_nnf,plain,
    head != seq,
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    head != seq,
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    head != seq,
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p15155,plain,
    ( head != head
    | head = tail
    | tail = head ),
    inference(superposition,[status(thm)],[p15150,c3]) ).

cnf(p16980,plain,
    ( head = tail
    | tail = head ),
    inference(equality_resolution,[status(thm)],[p15155]) ).

cnf(f2,axiom,
    head != tail,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',head_distinct_from_tail) ).

fof(f2_nnf,plain,
    head != tail,
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    head != tail,
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    head != tail,
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p16981,plain,
    ( head != head
    | head = tail ),
    inference(superposition,[status(thm)],[p16980,c2]) ).

cnf(p17997,plain,
    head = tail,
    inference(equality_resolution,[status(thm)],[p16981]) ).

cnf(p17999,plain,
    $false,
    inference(resolution,[status(thm)],[p17997,c2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV571-1.046 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.36  % Computer : n003.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Thu Sep 24 20:38:36 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.07/67.17  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.07/67.17  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------