TSTP Solution File: SWV570-1.049 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV570-1.049 : TPTP v8.2.0. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 06:34:24 EDT 2024

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  113
%            Number of leaves      :  267
% Syntax   : Number of formulae    :  919 ( 919 unt;   0 def)
%            Number of atoms       :  919 ( 918 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  316 ( 316 usr; 307 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3389,plain,
    $false,
    inference(trivial_inequality_removal,[],[f3388]) ).

fof(f3388,plain,
    elem_298 != elem_298,
    inference(superposition,[],[f369,f3387]) ).

fof(f3387,plain,
    elem_298 = elem_301,
    inference(backward_demodulation,[],[f2271,f3285]) ).

fof(f3285,plain,
    elem_298 = select(earray_296,index_9),
    inference(backward_demodulation,[],[f116,f3284]) ).

fof(f3284,plain,
    index_9 = index_297,
    inference(backward_demodulation,[],[f3132,f3283]) ).

fof(f3283,plain,
    index_9 = rselect_tail(q),
    inference(forward_demodulation,[],[f3282,f1696]) ).

fof(f1696,plain,
    index_9 = rselect_tail(q0),
    inference(backward_demodulation,[],[f192,f1694]) ).

fof(f1694,plain,
    index_9 = index_3,
    inference(forward_demodulation,[],[f1688,f835]) ).

fof(f835,plain,
    index_9 = p(index_15),
    inference(backward_demodulation,[],[f470,f833]) ).

fof(f833,plain,
    index_15 = index_12,
    inference(forward_demodulation,[],[f776,f136]) ).

fof(f136,axiom,
    index_15 = rselect_tail(q10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp119) ).

fof(f776,plain,
    index_12 = rselect_tail(q10),
    inference(superposition,[],[f5,f395]) ).

fof(f395,plain,
    q10 = rstore_tail(queue_11,index_12),
    inference(forward_demodulation,[],[f232,f321]) ).

fof(f321,axiom,
    q10 = queue_13,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp304) ).

fof(f232,axiom,
    queue_13 = rstore_tail(queue_11,index_12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp215) ).

fof(f5,axiom,
    ! [X2,X0] : rselect_tail(rstore_tail(X0,X2)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_tail) ).

fof(f470,plain,
    index_9 = p(index_12),
    inference(superposition,[],[f12,f125]) ).

fof(f125,axiom,
    index_12 = s(index_9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp108) ).

fof(f12,axiom,
    ! [X4] : p(s(X4)) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ps) ).

fof(f1688,plain,
    index_3 = p(index_15),
    inference(backward_demodulation,[],[f1032,f1684]) ).

fof(f1684,plain,
    index_15 = index_69,
    inference(backward_demodulation,[],[f1052,f1669]) ).

fof(f1669,plain,
    index_15 = p(index_135),
    inference(backward_demodulation,[],[f890,f1665]) ).

fof(f1665,plain,
    index_135 = index_21,
    inference(backward_demodulation,[],[f1580,f1656]) ).

fof(f1656,plain,
    index_135 = p(index_9),
    inference(backward_demodulation,[],[f860,f1651]) ).

fof(f1651,plain,
    index_9 = index_201,
    inference(forward_demodulation,[],[f1645,f835]) ).

fof(f1645,plain,
    index_201 = p(index_15),
    inference(backward_demodulation,[],[f920,f1640]) ).

fof(f1640,plain,
    index_15 = index_267,
    inference(forward_demodulation,[],[f1634,f890]) ).

fof(f1634,plain,
    index_267 = p(index_21),
    inference(backward_demodulation,[],[f984,f1629]) ).

fof(f1629,plain,
    index_21 = index_273,
    inference(forward_demodulation,[],[f1620,f1580]) ).

fof(f1620,plain,
    index_273 = p(index_9),
    inference(backward_demodulation,[],[f989,f1615]) ).

fof(f1615,plain,
    index_9 = index_279,
    inference(forward_demodulation,[],[f1607,f835]) ).

fof(f1607,plain,
    index_279 = p(index_15),
    inference(backward_demodulation,[],[f994,f1602]) ).

fof(f1602,plain,
    index_15 = index_285,
    inference(forward_demodulation,[],[f1595,f890]) ).

fof(f1595,plain,
    index_285 = p(index_21),
    inference(backward_demodulation,[],[f999,f1591]) ).

fof(f1591,plain,
    index_21 = index_291,
    inference(backward_demodulation,[],[f1009,f1580]) ).

fof(f1009,plain,
    index_291 = p(index_9),
    inference(backward_demodulation,[],[f506,f1007]) ).

fof(f1007,plain,
    index_9 = index_294,
    inference(forward_demodulation,[],[f810,f215]) ).

fof(f215,axiom,
    index_9 = rselect_tail(q9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp198) ).

fof(f810,plain,
    index_294 = rselect_tail(q9),
    inference(superposition,[],[f5,f384]) ).

fof(f384,plain,
    q9 = rstore_tail(queue_293,index_294),
    inference(forward_demodulation,[],[f293,f368]) ).

fof(f368,axiom,
    q9 = queue_295,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp351) ).

fof(f293,axiom,
    queue_295 = rstore_tail(queue_293,index_294),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp276) ).

fof(f506,plain,
    index_291 = p(index_294),
    inference(superposition,[],[f12,f189]) ).

fof(f189,axiom,
    index_294 = s(index_291),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp172) ).

fof(f999,plain,
    index_285 = p(index_291),
    inference(backward_demodulation,[],[f505,f997]) ).

fof(f997,plain,
    index_291 = index_288,
    inference(forward_demodulation,[],[f808,f188]) ).

fof(f188,axiom,
    index_291 = rselect_tail(q8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp171) ).

fof(f808,plain,
    index_288 = rselect_tail(q8),
    inference(superposition,[],[f5,f386]) ).

fof(f386,plain,
    q8 = rstore_tail(queue_287,index_288),
    inference(forward_demodulation,[],[f290,f367]) ).

fof(f367,axiom,
    q8 = queue_289,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp350) ).

fof(f290,axiom,
    queue_289 = rstore_tail(queue_287,index_288),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp273) ).

fof(f505,plain,
    index_285 = p(index_288),
    inference(superposition,[],[f12,f187]) ).

fof(f187,axiom,
    index_288 = s(index_285),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp170) ).

fof(f994,plain,
    index_279 = p(index_285),
    inference(backward_demodulation,[],[f504,f992]) ).

fof(f992,plain,
    index_285 = index_282,
    inference(forward_demodulation,[],[f807,f186]) ).

fof(f186,axiom,
    index_285 = rselect_tail(q7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp169) ).

fof(f807,plain,
    index_282 = rselect_tail(q7),
    inference(superposition,[],[f5,f388]) ).

fof(f388,plain,
    q7 = rstore_tail(queue_281,index_282),
    inference(forward_demodulation,[],[f288,f366]) ).

fof(f366,axiom,
    q7 = queue_283,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp349) ).

fof(f288,axiom,
    queue_283 = rstore_tail(queue_281,index_282),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp271) ).

fof(f504,plain,
    index_279 = p(index_282),
    inference(superposition,[],[f12,f185]) ).

fof(f185,axiom,
    index_282 = s(index_279),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp168) ).

fof(f989,plain,
    index_273 = p(index_279),
    inference(backward_demodulation,[],[f502,f987]) ).

fof(f987,plain,
    index_279 = index_276,
    inference(forward_demodulation,[],[f806,f184]) ).

fof(f184,axiom,
    index_279 = rselect_tail(q6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp167) ).

fof(f806,plain,
    index_276 = rselect_tail(q6),
    inference(superposition,[],[f5,f389]) ).

fof(f389,plain,
    q6 = rstore_tail(queue_275,index_276),
    inference(forward_demodulation,[],[f286,f365]) ).

fof(f365,axiom,
    q6 = queue_277,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp348) ).

fof(f286,axiom,
    queue_277 = rstore_tail(queue_275,index_276),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp269) ).

fof(f502,plain,
    index_273 = p(index_276),
    inference(superposition,[],[f12,f183]) ).

fof(f183,axiom,
    index_276 = s(index_273),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp166) ).

fof(f984,plain,
    index_267 = p(index_273),
    inference(backward_demodulation,[],[f501,f982]) ).

fof(f982,plain,
    index_273 = index_270,
    inference(forward_demodulation,[],[f805,f182]) ).

fof(f182,axiom,
    index_273 = rselect_tail(q5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp165) ).

fof(f805,plain,
    index_270 = rselect_tail(q5),
    inference(superposition,[],[f5,f391]) ).

fof(f391,plain,
    q5 = rstore_tail(queue_269,index_270),
    inference(forward_demodulation,[],[f284,f364]) ).

fof(f364,axiom,
    q5 = queue_271,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp347) ).

fof(f284,axiom,
    queue_271 = rstore_tail(queue_269,index_270),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp267) ).

fof(f501,plain,
    index_267 = p(index_270),
    inference(superposition,[],[f12,f181]) ).

fof(f181,axiom,
    index_270 = s(index_267),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp164) ).

fof(f920,plain,
    index_201 = p(index_267),
    inference(backward_demodulation,[],[f489,f918]) ).

fof(f918,plain,
    index_267 = index_204,
    inference(forward_demodulation,[],[f793,f179]) ).

fof(f179,axiom,
    index_267 = rselect_tail(q4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp162) ).

fof(f793,plain,
    index_204 = rselect_tail(q4),
    inference(superposition,[],[f5,f413]) ).

fof(f413,plain,
    q4 = rstore_tail(queue_203,index_204),
    inference(forward_demodulation,[],[f260,f353]) ).

fof(f353,axiom,
    q4 = queue_205,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp336) ).

fof(f260,axiom,
    queue_205 = rstore_tail(queue_203,index_204),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp243) ).

fof(f489,plain,
    index_201 = p(index_204),
    inference(superposition,[],[f12,f156]) ).

fof(f156,axiom,
    index_204 = s(index_201),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp139) ).

fof(f860,plain,
    index_135 = p(index_201),
    inference(backward_demodulation,[],[f477,f858]) ).

fof(f858,plain,
    index_201 = index_138,
    inference(forward_demodulation,[],[f781,f155]) ).

fof(f155,axiom,
    index_201 = rselect_tail(q3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp138) ).

fof(f781,plain,
    index_138 = rselect_tail(q3),
    inference(superposition,[],[f5,f399]) ).

fof(f399,plain,
    q3 = rstore_tail(queue_137,index_138),
    inference(forward_demodulation,[],[f236,f342]) ).

fof(f342,axiom,
    q3 = queue_139,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp325) ).

fof(f236,axiom,
    queue_139 = rstore_tail(queue_137,index_138),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp219) ).

fof(f477,plain,
    index_135 = p(index_138),
    inference(superposition,[],[f12,f132]) ).

fof(f132,axiom,
    index_138 = s(index_135),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp115) ).

fof(f1580,plain,
    index_21 = p(index_9),
    inference(backward_demodulation,[],[f945,f1573]) ).

fof(f1573,plain,
    index_9 = index_27,
    inference(backward_demodulation,[],[f947,f1572]) ).

fof(f1572,plain,
    index_9 = s(index_21),
    inference(forward_demodulation,[],[f1518,f892]) ).

fof(f892,plain,
    index_21 = s(index_15),
    inference(backward_demodulation,[],[f147,f888]) ).

fof(f888,plain,
    index_21 = index_18,
    inference(forward_demodulation,[],[f787,f158]) ).

fof(f158,axiom,
    index_21 = rselect_tail(q11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp141) ).

fof(f787,plain,
    index_18 = rselect_tail(q11),
    inference(superposition,[],[f5,f417]) ).

fof(f417,plain,
    q11 = rstore_tail(queue_17,index_18),
    inference(forward_demodulation,[],[f254,f322]) ).

fof(f322,axiom,
    q11 = queue_19,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp305) ).

fof(f254,axiom,
    queue_19 = rstore_tail(queue_17,index_18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp237) ).

fof(f147,axiom,
    index_18 = s(index_15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp130) ).

fof(f1518,plain,
    index_9 = s(s(index_15)),
    inference(superposition,[],[f16,f837]) ).

fof(f837,plain,
    index_15 = s(index_9),
    inference(backward_demodulation,[],[f125,f833]) ).

fof(f16,axiom,
    ! [X4] : s(s(s(X4))) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',circular) ).

fof(f947,plain,
    index_27 = s(index_21),
    inference(backward_demodulation,[],[f169,f943]) ).

fof(f943,plain,
    index_27 = index_24,
    inference(forward_demodulation,[],[f798,f180]) ).

fof(f180,axiom,
    index_27 = rselect_tail(q12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp163) ).

fof(f798,plain,
    index_24 = rselect_tail(q12),
    inference(superposition,[],[f5,f400]) ).

fof(f400,plain,
    q12 = rstore_tail(queue_23,index_24),
    inference(forward_demodulation,[],[f276,f323]) ).

fof(f323,axiom,
    q12 = queue_25,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp306) ).

fof(f276,axiom,
    queue_25 = rstore_tail(queue_23,index_24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp259) ).

fof(f169,axiom,
    index_24 = s(index_21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp152) ).

fof(f945,plain,
    index_21 = p(index_27),
    inference(backward_demodulation,[],[f492,f943]) ).

fof(f492,plain,
    index_21 = p(index_24),
    inference(superposition,[],[f12,f169]) ).

fof(f890,plain,
    index_15 = p(index_21),
    inference(backward_demodulation,[],[f481,f888]) ).

fof(f481,plain,
    index_15 = p(index_18),
    inference(superposition,[],[f12,f147]) ).

fof(f1052,plain,
    index_69 = p(index_135),
    inference(backward_demodulation,[],[f514,f1050]) ).

fof(f1050,plain,
    index_135 = index_72,
    inference(forward_demodulation,[],[f818,f131]) ).

fof(f131,axiom,
    index_135 = rselect_tail(q2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp114) ).

fof(f818,plain,
    rselect_tail(q2) = index_72,
    inference(superposition,[],[f5,f375]) ).

fof(f375,plain,
    q2 = rstore_tail(queue_71,index_72),
    inference(forward_demodulation,[],[f310,f331]) ).

fof(f331,axiom,
    q2 = queue_73,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp314) ).

fof(f310,axiom,
    queue_73 = rstore_tail(queue_71,index_72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp293) ).

fof(f514,plain,
    index_69 = p(index_72),
    inference(superposition,[],[f12,f209]) ).

fof(f209,axiom,
    index_72 = s(index_69),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp192) ).

fof(f1032,plain,
    index_3 = p(index_69),
    inference(backward_demodulation,[],[f508,f1030]) ).

fof(f1030,plain,
    index_69 = index_6,
    inference(forward_demodulation,[],[f814,f208]) ).

fof(f208,axiom,
    index_69 = rselect_tail(q1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp191) ).

fof(f814,plain,
    index_6 = rselect_tail(q1),
    inference(superposition,[],[f5,f377]) ).

fof(f377,plain,
    q1 = rstore_tail(queue_5,index_6),
    inference(forward_demodulation,[],[f308,f320]) ).

fof(f320,axiom,
    q1 = queue_7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp303) ).

fof(f308,axiom,
    queue_7 = rstore_tail(queue_5,index_6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp291) ).

fof(f508,plain,
    index_3 = p(index_6),
    inference(superposition,[],[f12,f204]) ).

fof(f204,axiom,
    index_6 = s(index_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp187) ).

fof(f192,axiom,
    index_3 = rselect_tail(q0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp175) ).

fof(f3282,plain,
    rselect_tail(q) = rselect_tail(q0),
    inference(superposition,[],[f11,f3133]) ).

fof(f3133,plain,
    q0 = rstore_head(q,index_297),
    inference(backward_demodulation,[],[f370,f3131]) ).

fof(f3131,plain,
    index_297 = index_0,
    inference(forward_demodulation,[],[f3130,f3013]) ).

fof(f3013,plain,
    index_297 = rselect_head(queue_101),
    inference(backward_demodulation,[],[f2855,f3012]) ).

fof(f3012,plain,
    index_297 = rselect_head(q24),
    inference(backward_demodulation,[],[f3008,f3011]) ).

fof(f3011,plain,
    index_297 = rselect_head(q48),
    inference(forward_demodulation,[],[f2935,f2904]) ).

fof(f2904,plain,
    index_297 = rselect_head(queue_263),
    inference(forward_demodulation,[],[f2885,f190]) ).

fof(f190,axiom,
    index_297 = rselect_head(q49),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp173) ).

fof(f2885,plain,
    rselect_head(q49) = rselect_head(queue_263),
    inference(superposition,[],[f8,f2275]) ).

fof(f2275,plain,
    q49 = rstore_tail(queue_263,index_111),
    inference(backward_demodulation,[],[f393,f2274]) ).

fof(f2274,plain,
    index_111 = index_264,
    inference(forward_demodulation,[],[f2263,f1906]) ).

fof(f1906,plain,
    index_111 = s(index_9),
    inference(backward_demodulation,[],[f832,f1896]) ).

fof(f1896,plain,
    index_9 = index_105,
    inference(backward_demodulation,[],[f827,f1869]) ).

fof(f1869,plain,
    index_9 = s(index_99),
    inference(backward_demodulation,[],[f1674,f1853]) ).

fof(f1853,plain,
    index_99 = index_135,
    inference(backward_demodulation,[],[f1691,f1851]) ).

fof(f1851,plain,
    index_99 = s(index_15),
    inference(backward_demodulation,[],[f1078,f1845]) ).

fof(f1845,plain,
    index_15 = index_93,
    inference(forward_demodulation,[],[f1839,f837]) ).

fof(f1839,plain,
    index_93 = s(index_9),
    inference(backward_demodulation,[],[f1072,f1832]) ).

fof(f1832,plain,
    index_9 = index_87,
    inference(forward_demodulation,[],[f1826,f1674]) ).

fof(f1826,plain,
    index_87 = s(index_135),
    inference(backward_demodulation,[],[f1067,f1818]) ).

fof(f1818,plain,
    index_135 = index_81,
    inference(forward_demodulation,[],[f1813,f1691]) ).

fof(f1813,plain,
    index_81 = s(index_15),
    inference(backward_demodulation,[],[f1062,f1805]) ).

fof(f1805,plain,
    index_15 = index_75,
    inference(forward_demodulation,[],[f1799,f837]) ).

fof(f1799,plain,
    index_75 = s(index_9),
    inference(backward_demodulation,[],[f1049,f1791]) ).

fof(f1791,plain,
    index_9 = index_63,
    inference(forward_demodulation,[],[f1785,f1674]) ).

fof(f1785,plain,
    index_63 = s(index_135),
    inference(backward_demodulation,[],[f1044,f1777]) ).

fof(f1777,plain,
    index_135 = index_57,
    inference(forward_demodulation,[],[f1772,f1691]) ).

fof(f1772,plain,
    index_57 = s(index_15),
    inference(backward_demodulation,[],[f1039,f1764]) ).

fof(f1764,plain,
    index_15 = index_51,
    inference(forward_demodulation,[],[f1758,f837]) ).

fof(f1758,plain,
    index_51 = s(index_9),
    inference(backward_demodulation,[],[f1029,f1750]) ).

fof(f1750,plain,
    index_9 = index_45,
    inference(forward_demodulation,[],[f1744,f1674]) ).

fof(f1744,plain,
    index_45 = s(index_135),
    inference(backward_demodulation,[],[f1024,f1736]) ).

fof(f1736,plain,
    index_135 = index_39,
    inference(forward_demodulation,[],[f1731,f1691]) ).

fof(f1731,plain,
    index_39 = s(index_15),
    inference(backward_demodulation,[],[f1019,f1723]) ).

fof(f1723,plain,
    index_15 = index_33,
    inference(forward_demodulation,[],[f1584,f837]) ).

fof(f1584,plain,
    index_33 = s(index_9),
    inference(backward_demodulation,[],[f1006,f1573]) ).

fof(f1006,plain,
    index_33 = s(index_27),
    inference(backward_demodulation,[],[f193,f1002]) ).

fof(f1002,plain,
    index_33 = index_30,
    inference(forward_demodulation,[],[f809,f195]) ).

fof(f195,axiom,
    index_33 = rselect_tail(q13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp178) ).

fof(f809,plain,
    index_30 = rselect_tail(q13),
    inference(superposition,[],[f5,f381]) ).

fof(f381,plain,
    q13 = rstore_tail(queue_29,index_30),
    inference(forward_demodulation,[],[f294,f324]) ).

fof(f324,axiom,
    q13 = queue_31,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp307) ).

fof(f294,axiom,
    queue_31 = rstore_tail(queue_29,index_30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp277) ).

fof(f193,axiom,
    index_30 = s(index_27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp176) ).

fof(f1019,plain,
    index_39 = s(index_33),
    inference(backward_demodulation,[],[f196,f1015]) ).

fof(f1015,plain,
    index_39 = index_36,
    inference(forward_demodulation,[],[f811,f197]) ).

fof(f197,axiom,
    index_39 = rselect_tail(q14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp180) ).

fof(f811,plain,
    index_36 = rselect_tail(q14),
    inference(superposition,[],[f5,f379]) ).

fof(f379,plain,
    q14 = rstore_tail(queue_35,index_36),
    inference(forward_demodulation,[],[f296,f325]) ).

fof(f325,axiom,
    q14 = queue_37,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp308) ).

fof(f296,axiom,
    queue_37 = rstore_tail(queue_35,index_36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp279) ).

fof(f196,axiom,
    index_36 = s(index_33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp179) ).

fof(f1024,plain,
    index_45 = s(index_39),
    inference(backward_demodulation,[],[f198,f1020]) ).

fof(f1020,plain,
    index_45 = index_42,
    inference(forward_demodulation,[],[f812,f199]) ).

fof(f199,axiom,
    index_45 = rselect_tail(q15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp182) ).

fof(f812,plain,
    index_42 = rselect_tail(q15),
    inference(superposition,[],[f5,f380]) ).

fof(f380,plain,
    q15 = rstore_tail(queue_41,index_42),
    inference(forward_demodulation,[],[f298,f326]) ).

fof(f326,axiom,
    q15 = queue_43,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp309) ).

fof(f298,axiom,
    queue_43 = rstore_tail(queue_41,index_42),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp281) ).

fof(f198,axiom,
    index_42 = s(index_39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp181) ).

fof(f1029,plain,
    index_51 = s(index_45),
    inference(backward_demodulation,[],[f200,f1025]) ).

fof(f1025,plain,
    index_51 = index_48,
    inference(forward_demodulation,[],[f813,f201]) ).

fof(f201,axiom,
    index_51 = rselect_tail(q16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp184) ).

fof(f813,plain,
    index_48 = rselect_tail(q16),
    inference(superposition,[],[f5,f382]) ).

fof(f382,plain,
    q16 = rstore_tail(queue_47,index_48),
    inference(forward_demodulation,[],[f300,f327]) ).

fof(f327,axiom,
    q16 = queue_49,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp310) ).

fof(f300,axiom,
    queue_49 = rstore_tail(queue_47,index_48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp283) ).

fof(f200,axiom,
    index_48 = s(index_45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp183) ).

fof(f1039,plain,
    index_57 = s(index_51),
    inference(backward_demodulation,[],[f202,f1035]) ).

fof(f1035,plain,
    index_57 = index_54,
    inference(forward_demodulation,[],[f815,f203]) ).

fof(f203,axiom,
    index_57 = rselect_tail(q17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp186) ).

fof(f815,plain,
    index_54 = rselect_tail(q17),
    inference(superposition,[],[f5,f383]) ).

fof(f383,plain,
    q17 = rstore_tail(queue_53,index_54),
    inference(forward_demodulation,[],[f303,f328]) ).

fof(f328,axiom,
    q17 = queue_55,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp311) ).

fof(f303,axiom,
    queue_55 = rstore_tail(queue_53,index_54),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp286) ).

fof(f202,axiom,
    index_54 = s(index_51),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp185) ).

fof(f1044,plain,
    index_63 = s(index_57),
    inference(backward_demodulation,[],[f205,f1040]) ).

fof(f1040,plain,
    index_63 = index_60,
    inference(forward_demodulation,[],[f816,f206]) ).

fof(f206,axiom,
    index_63 = rselect_tail(q18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp189) ).

fof(f816,plain,
    index_60 = rselect_tail(q18),
    inference(superposition,[],[f5,f378]) ).

fof(f378,plain,
    q18 = rstore_tail(queue_59,index_60),
    inference(forward_demodulation,[],[f305,f329]) ).

fof(f329,axiom,
    q18 = queue_61,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp312) ).

fof(f305,axiom,
    queue_61 = rstore_tail(queue_59,index_60),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp288) ).

fof(f205,axiom,
    index_60 = s(index_57),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp188) ).

fof(f1049,plain,
    index_75 = s(index_63),
    inference(backward_demodulation,[],[f207,f1045]) ).

fof(f1045,plain,
    index_75 = index_66,
    inference(forward_demodulation,[],[f817,f210]) ).

fof(f210,axiom,
    index_75 = rselect_tail(q19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp193) ).

fof(f817,plain,
    index_66 = rselect_tail(q19),
    inference(superposition,[],[f5,f376]) ).

fof(f376,plain,
    q19 = rstore_tail(queue_65,index_66),
    inference(forward_demodulation,[],[f307,f330]) ).

fof(f330,axiom,
    q19 = queue_67,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp313) ).

fof(f307,axiom,
    queue_67 = rstore_tail(queue_65,index_66),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp290) ).

fof(f207,axiom,
    index_66 = s(index_63),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp190) ).

fof(f1062,plain,
    index_81 = s(index_75),
    inference(backward_demodulation,[],[f211,f1058]) ).

fof(f1058,plain,
    index_81 = index_78,
    inference(forward_demodulation,[],[f819,f212]) ).

fof(f212,axiom,
    index_81 = rselect_tail(q20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp195) ).

fof(f819,plain,
    index_78 = rselect_tail(q20),
    inference(superposition,[],[f5,f374]) ).

fof(f374,plain,
    q20 = rstore_tail(queue_77,index_78),
    inference(forward_demodulation,[],[f312,f332]) ).

fof(f332,axiom,
    q20 = queue_79,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp315) ).

fof(f312,axiom,
    queue_79 = rstore_tail(queue_77,index_78),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp295) ).

fof(f211,axiom,
    index_78 = s(index_75),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp194) ).

fof(f1067,plain,
    index_87 = s(index_81),
    inference(backward_demodulation,[],[f213,f1063]) ).

fof(f1063,plain,
    index_87 = index_84,
    inference(forward_demodulation,[],[f820,f214]) ).

fof(f214,axiom,
    index_87 = rselect_tail(q21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp197) ).

fof(f820,plain,
    index_84 = rselect_tail(q21),
    inference(superposition,[],[f5,f371]) ).

fof(f371,plain,
    q21 = rstore_tail(queue_83,index_84),
    inference(forward_demodulation,[],[f314,f333]) ).

fof(f333,axiom,
    q21 = queue_85,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp316) ).

fof(f314,axiom,
    queue_85 = rstore_tail(queue_83,index_84),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp297) ).

fof(f213,axiom,
    index_84 = s(index_81),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp196) ).

fof(f1072,plain,
    index_93 = s(index_87),
    inference(backward_demodulation,[],[f216,f1068]) ).

fof(f1068,plain,
    index_93 = index_90,
    inference(forward_demodulation,[],[f821,f217]) ).

fof(f217,axiom,
    index_93 = rselect_tail(q22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp200) ).

fof(f821,plain,
    index_90 = rselect_tail(q22),
    inference(superposition,[],[f5,f372]) ).

fof(f372,plain,
    q22 = rstore_tail(queue_89,index_90),
    inference(forward_demodulation,[],[f316,f334]) ).

fof(f334,axiom,
    q22 = queue_91,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp317) ).

fof(f316,axiom,
    queue_91 = rstore_tail(queue_89,index_90),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp299) ).

fof(f216,axiom,
    index_90 = s(index_87),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp199) ).

fof(f1078,plain,
    index_99 = s(index_93),
    inference(backward_demodulation,[],[f218,f1073]) ).

fof(f1073,plain,
    index_99 = index_96,
    inference(forward_demodulation,[],[f822,f219]) ).

fof(f219,axiom,
    index_99 = rselect_tail(q23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp202) ).

fof(f822,plain,
    index_96 = rselect_tail(q23),
    inference(superposition,[],[f5,f373]) ).

fof(f373,plain,
    q23 = rstore_tail(queue_95,index_96),
    inference(forward_demodulation,[],[f318,f335]) ).

fof(f335,axiom,
    q23 = queue_97,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp318) ).

fof(f318,axiom,
    queue_97 = rstore_tail(queue_95,index_96),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp301) ).

fof(f218,axiom,
    index_96 = s(index_93),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp201) ).

fof(f1691,plain,
    index_135 = s(index_15),
    inference(backward_demodulation,[],[f1055,f1684]) ).

fof(f1055,plain,
    index_135 = s(index_69),
    inference(backward_demodulation,[],[f209,f1050]) ).

fof(f1674,plain,
    index_9 = s(index_135),
    inference(backward_demodulation,[],[f1572,f1665]) ).

fof(f827,plain,
    index_105 = s(index_99),
    inference(backward_demodulation,[],[f119,f823]) ).

fof(f823,plain,
    index_105 = index_102,
    inference(forward_demodulation,[],[f774,f120]) ).

fof(f120,axiom,
    index_105 = rselect_tail(q24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp103) ).

fof(f774,plain,
    index_102 = rselect_tail(q24),
    inference(superposition,[],[f5,f385]) ).

fof(f385,plain,
    q24 = rstore_tail(queue_101,index_102),
    inference(forward_demodulation,[],[f222,f336]) ).

fof(f336,axiom,
    q24 = queue_103,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp319) ).

fof(f222,axiom,
    queue_103 = rstore_tail(queue_101,index_102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp205) ).

fof(f119,axiom,
    index_102 = s(index_99),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp102) ).

fof(f832,plain,
    index_111 = s(index_105),
    inference(backward_demodulation,[],[f121,f828]) ).

fof(f828,plain,
    index_111 = index_108,
    inference(forward_demodulation,[],[f775,f122]) ).

fof(f122,axiom,
    index_111 = rselect_tail(q25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp105) ).

fof(f775,plain,
    index_108 = rselect_tail(q25),
    inference(superposition,[],[f5,f387]) ).

fof(f387,plain,
    q25 = rstore_tail(queue_107,index_108),
    inference(forward_demodulation,[],[f224,f337]) ).

fof(f337,axiom,
    q25 = queue_109,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp320) ).

fof(f224,axiom,
    queue_109 = rstore_tail(queue_107,index_108),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp207) ).

fof(f121,axiom,
    index_108 = s(index_105),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp104) ).

fof(f2263,plain,
    s(index_9) = index_264,
    inference(backward_demodulation,[],[f178,f2260]) ).

fof(f2260,plain,
    index_9 = index_261,
    inference(forward_demodulation,[],[f2254,f1869]) ).

fof(f2254,plain,
    index_261 = s(index_99),
    inference(backward_demodulation,[],[f972,f2246]) ).

fof(f2246,plain,
    index_99 = index_255,
    inference(forward_demodulation,[],[f2241,f1955]) ).

fof(f1955,plain,
    index_99 = s(index_111),
    inference(backward_demodulation,[],[f1851,f1912]) ).

fof(f1912,plain,
    index_111 = index_15,
    inference(backward_demodulation,[],[f837,f1906]) ).

fof(f2241,plain,
    index_255 = s(index_111),
    inference(backward_demodulation,[],[f967,f2233]) ).

fof(f2233,plain,
    index_111 = index_249,
    inference(forward_demodulation,[],[f2227,f1906]) ).

fof(f2227,plain,
    index_249 = s(index_9),
    inference(backward_demodulation,[],[f962,f2219]) ).

fof(f2219,plain,
    index_9 = index_243,
    inference(forward_demodulation,[],[f2213,f1869]) ).

fof(f2213,plain,
    index_243 = s(index_99),
    inference(backward_demodulation,[],[f957,f2205]) ).

fof(f2205,plain,
    index_99 = index_237,
    inference(forward_demodulation,[],[f2200,f1955]) ).

fof(f2200,plain,
    index_237 = s(index_111),
    inference(backward_demodulation,[],[f952,f2192]) ).

fof(f2192,plain,
    index_111 = index_231,
    inference(forward_demodulation,[],[f2186,f1906]) ).

fof(f2186,plain,
    index_231 = s(index_9),
    inference(backward_demodulation,[],[f942,f2178]) ).

fof(f2178,plain,
    index_9 = index_225,
    inference(forward_demodulation,[],[f2172,f1869]) ).

fof(f2172,plain,
    index_225 = s(index_99),
    inference(backward_demodulation,[],[f937,f2164]) ).

fof(f2164,plain,
    index_99 = index_219,
    inference(forward_demodulation,[],[f2159,f1955]) ).

fof(f2159,plain,
    index_219 = s(index_111),
    inference(backward_demodulation,[],[f932,f2151]) ).

fof(f2151,plain,
    index_111 = index_213,
    inference(forward_demodulation,[],[f2145,f1906]) ).

fof(f2145,plain,
    index_213 = s(index_9),
    inference(backward_demodulation,[],[f927,f2137]) ).

fof(f2137,plain,
    index_9 = index_207,
    inference(forward_demodulation,[],[f2131,f1869]) ).

fof(f2131,plain,
    index_207 = s(index_99),
    inference(backward_demodulation,[],[f917,f2123]) ).

fof(f2123,plain,
    index_99 = index_195,
    inference(forward_demodulation,[],[f2118,f1955]) ).

fof(f2118,plain,
    index_195 = s(index_111),
    inference(backward_demodulation,[],[f912,f2110]) ).

fof(f2110,plain,
    index_111 = index_189,
    inference(forward_demodulation,[],[f2104,f1906]) ).

fof(f2104,plain,
    index_189 = s(index_9),
    inference(backward_demodulation,[],[f907,f2096]) ).

fof(f2096,plain,
    index_9 = index_183,
    inference(forward_demodulation,[],[f2090,f1869]) ).

fof(f2090,plain,
    index_183 = s(index_99),
    inference(backward_demodulation,[],[f902,f2082]) ).

fof(f2082,plain,
    index_99 = index_177,
    inference(forward_demodulation,[],[f2077,f1955]) ).

fof(f2077,plain,
    index_177 = s(index_111),
    inference(backward_demodulation,[],[f897,f2069]) ).

fof(f2069,plain,
    index_111 = index_171,
    inference(forward_demodulation,[],[f2063,f1906]) ).

fof(f2063,plain,
    index_171 = s(index_9),
    inference(backward_demodulation,[],[f887,f2055]) ).

fof(f2055,plain,
    index_9 = index_165,
    inference(forward_demodulation,[],[f2049,f1869]) ).

fof(f2049,plain,
    index_165 = s(index_99),
    inference(backward_demodulation,[],[f882,f2041]) ).

fof(f2041,plain,
    index_99 = index_159,
    inference(forward_demodulation,[],[f2036,f1955]) ).

fof(f2036,plain,
    index_159 = s(index_111),
    inference(backward_demodulation,[],[f877,f2028]) ).

fof(f2028,plain,
    index_111 = index_153,
    inference(forward_demodulation,[],[f2022,f1906]) ).

fof(f2022,plain,
    index_153 = s(index_9),
    inference(backward_demodulation,[],[f872,f2014]) ).

fof(f2014,plain,
    index_9 = index_147,
    inference(forward_demodulation,[],[f2008,f1869]) ).

fof(f2008,plain,
    index_147 = s(index_99),
    inference(backward_demodulation,[],[f867,f2000]) ).

fof(f2000,plain,
    index_99 = index_141,
    inference(forward_demodulation,[],[f1995,f1955]) ).

fof(f1995,plain,
    index_141 = s(index_111),
    inference(backward_demodulation,[],[f857,f1987]) ).

fof(f1987,plain,
    index_111 = index_129,
    inference(forward_demodulation,[],[f1980,f1906]) ).

fof(f1980,plain,
    index_129 = s(index_9),
    inference(backward_demodulation,[],[f852,f1972]) ).

fof(f1972,plain,
    index_9 = index_123,
    inference(forward_demodulation,[],[f1966,f1869]) ).

fof(f1966,plain,
    index_123 = s(index_99),
    inference(backward_demodulation,[],[f847,f1956]) ).

fof(f1956,plain,
    index_99 = index_117,
    inference(backward_demodulation,[],[f842,f1955]) ).

fof(f842,plain,
    index_117 = s(index_111),
    inference(backward_demodulation,[],[f123,f838]) ).

fof(f838,plain,
    index_117 = index_114,
    inference(forward_demodulation,[],[f777,f124]) ).

fof(f124,axiom,
    index_117 = rselect_tail(q26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp107) ).

fof(f777,plain,
    index_114 = rselect_tail(q26),
    inference(superposition,[],[f5,f390]) ).

fof(f390,plain,
    q26 = rstore_tail(queue_113,index_114),
    inference(forward_demodulation,[],[f227,f338]) ).

fof(f338,axiom,
    q26 = queue_115,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp321) ).

fof(f227,axiom,
    queue_115 = rstore_tail(queue_113,index_114),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp210) ).

fof(f123,axiom,
    index_114 = s(index_111),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp106) ).

fof(f847,plain,
    index_123 = s(index_117),
    inference(backward_demodulation,[],[f126,f843]) ).

fof(f843,plain,
    index_123 = index_120,
    inference(forward_demodulation,[],[f778,f127]) ).

fof(f127,axiom,
    index_123 = rselect_tail(q27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp110) ).

fof(f778,plain,
    index_120 = rselect_tail(q27),
    inference(superposition,[],[f5,f392]) ).

fof(f392,plain,
    q27 = rstore_tail(queue_119,index_120),
    inference(forward_demodulation,[],[f229,f339]) ).

fof(f339,axiom,
    q27 = queue_121,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp322) ).

fof(f229,axiom,
    queue_121 = rstore_tail(queue_119,index_120),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp212) ).

fof(f126,axiom,
    index_120 = s(index_117),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp109) ).

fof(f852,plain,
    index_129 = s(index_123),
    inference(backward_demodulation,[],[f128,f848]) ).

fof(f848,plain,
    index_129 = index_126,
    inference(forward_demodulation,[],[f779,f129]) ).

fof(f129,axiom,
    index_129 = rselect_tail(q28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp112) ).

fof(f779,plain,
    index_126 = rselect_tail(q28),
    inference(superposition,[],[f5,f394]) ).

fof(f394,plain,
    q28 = rstore_tail(queue_125,index_126),
    inference(forward_demodulation,[],[f231,f340]) ).

fof(f340,axiom,
    q28 = queue_127,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp323) ).

fof(f231,axiom,
    queue_127 = rstore_tail(queue_125,index_126),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp214) ).

fof(f128,axiom,
    index_126 = s(index_123),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp111) ).

fof(f857,plain,
    index_141 = s(index_129),
    inference(backward_demodulation,[],[f130,f853]) ).

fof(f853,plain,
    index_141 = index_132,
    inference(forward_demodulation,[],[f780,f133]) ).

fof(f133,axiom,
    index_141 = rselect_tail(q29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp116) ).

fof(f780,plain,
    index_132 = rselect_tail(q29),
    inference(superposition,[],[f5,f397]) ).

fof(f397,plain,
    q29 = rstore_tail(queue_131,index_132),
    inference(forward_demodulation,[],[f234,f341]) ).

fof(f341,axiom,
    q29 = queue_133,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp324) ).

fof(f234,axiom,
    queue_133 = rstore_tail(queue_131,index_132),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp217) ).

fof(f130,axiom,
    index_132 = s(index_129),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp113) ).

fof(f867,plain,
    index_147 = s(index_141),
    inference(backward_demodulation,[],[f134,f863]) ).

fof(f863,plain,
    index_147 = index_144,
    inference(forward_demodulation,[],[f782,f135]) ).

fof(f135,axiom,
    index_147 = rselect_tail(q30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp118) ).

fof(f782,plain,
    index_144 = rselect_tail(q30),
    inference(superposition,[],[f5,f401]) ).

fof(f401,plain,
    q30 = rstore_tail(queue_143,index_144),
    inference(forward_demodulation,[],[f238,f343]) ).

fof(f343,axiom,
    q30 = queue_145,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp326) ).

fof(f238,axiom,
    queue_145 = rstore_tail(queue_143,index_144),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp221) ).

fof(f134,axiom,
    index_144 = s(index_141),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp117) ).

fof(f872,plain,
    index_153 = s(index_147),
    inference(backward_demodulation,[],[f137,f868]) ).

fof(f868,plain,
    index_153 = index_150,
    inference(forward_demodulation,[],[f783,f138]) ).

fof(f138,axiom,
    index_153 = rselect_tail(q31),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp121) ).

fof(f783,plain,
    index_150 = rselect_tail(q31),
    inference(superposition,[],[f5,f403]) ).

fof(f403,plain,
    q31 = rstore_tail(queue_149,index_150),
    inference(forward_demodulation,[],[f240,f344]) ).

fof(f344,axiom,
    q31 = queue_151,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp327) ).

fof(f240,axiom,
    queue_151 = rstore_tail(queue_149,index_150),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp223) ).

fof(f137,axiom,
    index_150 = s(index_147),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp120) ).

fof(f877,plain,
    index_159 = s(index_153),
    inference(backward_demodulation,[],[f139,f873]) ).

fof(f873,plain,
    index_159 = index_156,
    inference(forward_demodulation,[],[f784,f140]) ).

fof(f140,axiom,
    index_159 = rselect_tail(q32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp123) ).

fof(f784,plain,
    index_156 = rselect_tail(q32),
    inference(superposition,[],[f5,f405]) ).

fof(f405,plain,
    q32 = rstore_tail(queue_155,index_156),
    inference(forward_demodulation,[],[f242,f345]) ).

fof(f345,axiom,
    q32 = queue_157,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp328) ).

fof(f242,axiom,
    queue_157 = rstore_tail(queue_155,index_156),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp225) ).

fof(f139,axiom,
    index_156 = s(index_153),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp122) ).

fof(f882,plain,
    index_165 = s(index_159),
    inference(backward_demodulation,[],[f141,f878]) ).

fof(f878,plain,
    index_165 = index_162,
    inference(forward_demodulation,[],[f785,f142]) ).

fof(f142,axiom,
    index_165 = rselect_tail(q33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp125) ).

fof(f785,plain,
    index_162 = rselect_tail(q33),
    inference(superposition,[],[f5,f407]) ).

fof(f407,plain,
    q33 = rstore_tail(queue_161,index_162),
    inference(forward_demodulation,[],[f244,f346]) ).

fof(f346,axiom,
    q33 = queue_163,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp329) ).

fof(f244,axiom,
    queue_163 = rstore_tail(queue_161,index_162),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp227) ).

fof(f141,axiom,
    index_162 = s(index_159),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp124) ).

fof(f887,plain,
    index_171 = s(index_165),
    inference(backward_demodulation,[],[f143,f883]) ).

fof(f883,plain,
    index_171 = index_168,
    inference(forward_demodulation,[],[f786,f144]) ).

fof(f144,axiom,
    index_171 = rselect_tail(q34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp127) ).

fof(f786,plain,
    index_168 = rselect_tail(q34),
    inference(superposition,[],[f5,f409]) ).

fof(f409,plain,
    q34 = rstore_tail(queue_167,index_168),
    inference(forward_demodulation,[],[f246,f347]) ).

fof(f347,axiom,
    q34 = queue_169,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp330) ).

fof(f246,axiom,
    queue_169 = rstore_tail(queue_167,index_168),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp229) ).

fof(f143,axiom,
    index_168 = s(index_165),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp126) ).

fof(f897,plain,
    index_177 = s(index_171),
    inference(backward_demodulation,[],[f145,f893]) ).

fof(f893,plain,
    index_177 = index_174,
    inference(forward_demodulation,[],[f788,f146]) ).

fof(f146,axiom,
    index_177 = rselect_tail(q35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp129) ).

fof(f788,plain,
    index_174 = rselect_tail(q35),
    inference(superposition,[],[f5,f412]) ).

fof(f412,plain,
    q35 = rstore_tail(queue_173,index_174),
    inference(forward_demodulation,[],[f249,f348]) ).

fof(f348,axiom,
    q35 = queue_175,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp331) ).

fof(f249,axiom,
    queue_175 = rstore_tail(queue_173,index_174),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp232) ).

fof(f145,axiom,
    index_174 = s(index_171),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp128) ).

fof(f902,plain,
    index_183 = s(index_177),
    inference(backward_demodulation,[],[f148,f898]) ).

fof(f898,plain,
    index_183 = index_180,
    inference(forward_demodulation,[],[f789,f149]) ).

fof(f149,axiom,
    index_183 = rselect_tail(q36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp132) ).

fof(f789,plain,
    index_180 = rselect_tail(q36),
    inference(superposition,[],[f5,f414]) ).

fof(f414,plain,
    q36 = rstore_tail(queue_179,index_180),
    inference(forward_demodulation,[],[f251,f349]) ).

fof(f349,axiom,
    q36 = queue_181,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp332) ).

fof(f251,axiom,
    queue_181 = rstore_tail(queue_179,index_180),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp234) ).

fof(f148,axiom,
    index_180 = s(index_177),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp131) ).

fof(f907,plain,
    index_189 = s(index_183),
    inference(backward_demodulation,[],[f150,f903]) ).

fof(f903,plain,
    index_189 = index_186,
    inference(forward_demodulation,[],[f790,f151]) ).

fof(f151,axiom,
    index_189 = rselect_tail(q37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp134) ).

fof(f790,plain,
    index_186 = rselect_tail(q37),
    inference(superposition,[],[f5,f416]) ).

fof(f416,plain,
    q37 = rstore_tail(queue_185,index_186),
    inference(forward_demodulation,[],[f253,f350]) ).

fof(f350,axiom,
    q37 = queue_187,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp333) ).

fof(f253,axiom,
    queue_187 = rstore_tail(queue_185,index_186),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp236) ).

fof(f150,axiom,
    index_186 = s(index_183),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp133) ).

fof(f912,plain,
    index_195 = s(index_189),
    inference(backward_demodulation,[],[f152,f908]) ).

fof(f908,plain,
    index_195 = index_192,
    inference(forward_demodulation,[],[f791,f153]) ).

fof(f153,axiom,
    index_195 = rselect_tail(q38),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp136) ).

fof(f791,plain,
    index_192 = rselect_tail(q38),
    inference(superposition,[],[f5,f418]) ).

fof(f418,plain,
    q38 = rstore_tail(queue_191,index_192),
    inference(forward_demodulation,[],[f256,f351]) ).

fof(f351,axiom,
    q38 = queue_193,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp334) ).

fof(f256,axiom,
    queue_193 = rstore_tail(queue_191,index_192),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp239) ).

fof(f152,axiom,
    index_192 = s(index_189),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp135) ).

fof(f917,plain,
    index_207 = s(index_195),
    inference(backward_demodulation,[],[f154,f913]) ).

fof(f913,plain,
    index_207 = index_198,
    inference(forward_demodulation,[],[f792,f157]) ).

fof(f157,axiom,
    index_207 = rselect_tail(q39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp140) ).

fof(f792,plain,
    index_198 = rselect_tail(q39),
    inference(superposition,[],[f5,f415]) ).

fof(f415,plain,
    q39 = rstore_tail(queue_197,index_198),
    inference(forward_demodulation,[],[f258,f352]) ).

fof(f352,axiom,
    q39 = queue_199,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp335) ).

fof(f258,axiom,
    queue_199 = rstore_tail(queue_197,index_198),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp241) ).

fof(f154,axiom,
    index_198 = s(index_195),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp137) ).

fof(f927,plain,
    index_213 = s(index_207),
    inference(backward_demodulation,[],[f159,f923]) ).

fof(f923,plain,
    index_213 = index_210,
    inference(forward_demodulation,[],[f794,f160]) ).

fof(f160,axiom,
    index_213 = rselect_tail(q40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp143) ).

fof(f794,plain,
    index_210 = rselect_tail(q40),
    inference(superposition,[],[f5,f419]) ).

fof(f419,plain,
    q40 = rstore_tail(queue_209,index_210),
    inference(forward_demodulation,[],[f262,f354]) ).

fof(f354,axiom,
    q40 = queue_211,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp337) ).

fof(f262,axiom,
    queue_211 = rstore_tail(queue_209,index_210),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp245) ).

fof(f159,axiom,
    index_210 = s(index_207),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp142) ).

fof(f932,plain,
    index_219 = s(index_213),
    inference(backward_demodulation,[],[f161,f928]) ).

fof(f928,plain,
    index_219 = index_216,
    inference(forward_demodulation,[],[f795,f162]) ).

fof(f162,axiom,
    index_219 = rselect_tail(q41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp145) ).

fof(f795,plain,
    index_216 = rselect_tail(q41),
    inference(superposition,[],[f5,f411]) ).

fof(f411,plain,
    q41 = rstore_tail(queue_215,index_216),
    inference(forward_demodulation,[],[f264,f355]) ).

fof(f355,axiom,
    q41 = queue_217,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp338) ).

fof(f264,axiom,
    queue_217 = rstore_tail(queue_215,index_216),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp247) ).

fof(f161,axiom,
    index_216 = s(index_213),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp144) ).

fof(f937,plain,
    index_225 = s(index_219),
    inference(backward_demodulation,[],[f163,f933]) ).

fof(f933,plain,
    index_225 = index_222,
    inference(forward_demodulation,[],[f796,f164]) ).

fof(f164,axiom,
    index_225 = rselect_tail(q42),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp147) ).

fof(f796,plain,
    index_222 = rselect_tail(q42),
    inference(superposition,[],[f5,f410]) ).

fof(f410,plain,
    q42 = rstore_tail(queue_221,index_222),
    inference(forward_demodulation,[],[f266,f356]) ).

fof(f356,axiom,
    q42 = queue_223,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp339) ).

fof(f266,axiom,
    queue_223 = rstore_tail(queue_221,index_222),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp249) ).

fof(f163,axiom,
    index_222 = s(index_219),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp146) ).

fof(f942,plain,
    index_231 = s(index_225),
    inference(backward_demodulation,[],[f165,f938]) ).

fof(f938,plain,
    index_231 = index_228,
    inference(forward_demodulation,[],[f797,f166]) ).

fof(f166,axiom,
    index_231 = rselect_tail(q43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp149) ).

fof(f797,plain,
    index_228 = rselect_tail(q43),
    inference(superposition,[],[f5,f408]) ).

fof(f408,plain,
    q43 = rstore_tail(queue_227,index_228),
    inference(forward_demodulation,[],[f268,f357]) ).

fof(f357,axiom,
    q43 = queue_229,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp340) ).

fof(f268,axiom,
    queue_229 = rstore_tail(queue_227,index_228),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp251) ).

fof(f165,axiom,
    index_228 = s(index_225),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp148) ).

fof(f952,plain,
    index_237 = s(index_231),
    inference(backward_demodulation,[],[f167,f948]) ).

fof(f948,plain,
    index_237 = index_234,
    inference(forward_demodulation,[],[f799,f168]) ).

fof(f168,axiom,
    index_237 = rselect_tail(q44),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp151) ).

fof(f799,plain,
    index_234 = rselect_tail(q44),
    inference(superposition,[],[f5,f406]) ).

fof(f406,plain,
    q44 = rstore_tail(queue_233,index_234),
    inference(forward_demodulation,[],[f271,f358]) ).

fof(f358,axiom,
    q44 = queue_235,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp341) ).

fof(f271,axiom,
    queue_235 = rstore_tail(queue_233,index_234),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp254) ).

fof(f167,axiom,
    index_234 = s(index_231),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp150) ).

fof(f957,plain,
    index_243 = s(index_237),
    inference(backward_demodulation,[],[f170,f953]) ).

fof(f953,plain,
    index_243 = index_240,
    inference(forward_demodulation,[],[f800,f171]) ).

fof(f171,axiom,
    index_243 = rselect_tail(q45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp154) ).

fof(f800,plain,
    index_240 = rselect_tail(q45),
    inference(superposition,[],[f5,f404]) ).

fof(f404,plain,
    q45 = rstore_tail(queue_239,index_240),
    inference(forward_demodulation,[],[f273,f359]) ).

fof(f359,axiom,
    q45 = queue_241,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp342) ).

fof(f273,axiom,
    queue_241 = rstore_tail(queue_239,index_240),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp256) ).

fof(f170,axiom,
    index_240 = s(index_237),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp153) ).

fof(f962,plain,
    index_249 = s(index_243),
    inference(backward_demodulation,[],[f172,f958]) ).

fof(f958,plain,
    index_249 = index_246,
    inference(forward_demodulation,[],[f801,f173]) ).

fof(f173,axiom,
    index_249 = rselect_tail(q46),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp156) ).

fof(f801,plain,
    index_246 = rselect_tail(q46),
    inference(superposition,[],[f5,f402]) ).

fof(f402,plain,
    q46 = rstore_tail(queue_245,index_246),
    inference(forward_demodulation,[],[f275,f360]) ).

fof(f360,axiom,
    q46 = queue_247,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp343) ).

fof(f275,axiom,
    queue_247 = rstore_tail(queue_245,index_246),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp258) ).

fof(f172,axiom,
    index_246 = s(index_243),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp155) ).

fof(f967,plain,
    index_255 = s(index_249),
    inference(backward_demodulation,[],[f174,f963]) ).

fof(f963,plain,
    index_255 = index_252,
    inference(forward_demodulation,[],[f802,f175]) ).

fof(f175,axiom,
    index_255 = rselect_tail(q47),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp158) ).

fof(f802,plain,
    index_252 = rselect_tail(q47),
    inference(superposition,[],[f5,f398]) ).

fof(f398,plain,
    q47 = rstore_tail(queue_251,index_252),
    inference(forward_demodulation,[],[f278,f361]) ).

fof(f361,axiom,
    q47 = queue_253,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp344) ).

fof(f278,axiom,
    queue_253 = rstore_tail(queue_251,index_252),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp261) ).

fof(f174,axiom,
    index_252 = s(index_249),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp157) ).

fof(f972,plain,
    index_261 = s(index_255),
    inference(backward_demodulation,[],[f176,f968]) ).

fof(f968,plain,
    index_261 = index_258,
    inference(forward_demodulation,[],[f803,f177]) ).

fof(f177,axiom,
    index_261 = rselect_tail(q48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp160) ).

fof(f803,plain,
    index_258 = rselect_tail(q48),
    inference(superposition,[],[f5,f396]) ).

fof(f396,plain,
    q48 = rstore_tail(queue_257,index_258),
    inference(forward_demodulation,[],[f280,f362]) ).

fof(f362,axiom,
    q48 = queue_259,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp345) ).

fof(f280,axiom,
    queue_259 = rstore_tail(queue_257,index_258),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp263) ).

fof(f176,axiom,
    index_258 = s(index_255),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp159) ).

fof(f178,axiom,
    index_264 = s(index_261),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp161) ).

fof(f393,plain,
    q49 = rstore_tail(queue_263,index_264),
    inference(forward_demodulation,[],[f282,f363]) ).

fof(f363,axiom,
    q49 = queue_265,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp346) ).

fof(f282,axiom,
    queue_265 = rstore_tail(queue_263,index_264),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp265) ).

fof(f8,axiom,
    ! [X2,X0] : rselect_head(rstore_tail(X0,X2)) = rselect_head(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_head_tail) ).

fof(f2935,plain,
    rselect_head(q48) = rselect_head(queue_263),
    inference(superposition,[],[f9,f2790]) ).

fof(f2790,plain,
    queue_263 = rstore_seq(q48,earray_296),
    inference(backward_demodulation,[],[f281,f2787]) ).

fof(f2787,plain,
    earray_262 = earray_296,
    inference(forward_demodulation,[],[f2786,f90]) ).

fof(f90,axiom,
    earray_296 = rselect_seq(q49),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp73) ).

fof(f2786,plain,
    earray_262 = rselect_seq(q49),
    inference(forward_demodulation,[],[f2677,f754]) ).

fof(f754,plain,
    earray_262 = rselect_seq(queue_263),
    inference(superposition,[],[f3,f281]) ).

fof(f3,axiom,
    ! [X2,X0] : rselect_seq(rstore_seq(X0,X2)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_seq) ).

fof(f2677,plain,
    rselect_seq(q49) = rselect_seq(queue_263),
    inference(superposition,[],[f7,f2275]) ).

fof(f7,axiom,
    ! [X2,X0] : rselect_seq(X0) = rselect_seq(rstore_tail(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_seq_tail) ).

fof(f281,axiom,
    queue_263 = rstore_seq(q48,earray_262),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp264) ).

fof(f9,axiom,
    ! [X2,X0] : rselect_head(X0) = rselect_head(rstore_seq(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_head_seq) ).

fof(f3008,plain,
    rselect_head(q24) = rselect_head(q48),
    inference(backward_demodulation,[],[f2884,f3007]) ).

fof(f3007,plain,
    rselect_head(q24) = rselect_head(queue_257),
    inference(forward_demodulation,[],[f2933,f3006]) ).

fof(f3006,plain,
    rselect_head(q24) = rselect_head(q47),
    inference(backward_demodulation,[],[f2883,f3005]) ).

fof(f3005,plain,
    rselect_head(q24) = rselect_head(queue_251),
    inference(forward_demodulation,[],[f2932,f3004]) ).

fof(f3004,plain,
    rselect_head(q24) = rselect_head(q46),
    inference(backward_demodulation,[],[f2882,f3003]) ).

fof(f3003,plain,
    rselect_head(q24) = rselect_head(queue_245),
    inference(forward_demodulation,[],[f2931,f3002]) ).

fof(f3002,plain,
    rselect_head(q24) = rselect_head(q45),
    inference(backward_demodulation,[],[f2881,f3001]) ).

fof(f3001,plain,
    rselect_head(q24) = rselect_head(queue_239),
    inference(forward_demodulation,[],[f2930,f3000]) ).

fof(f3000,plain,
    rselect_head(q24) = rselect_head(q44),
    inference(backward_demodulation,[],[f2880,f2999]) ).

fof(f2999,plain,
    rselect_head(q24) = rselect_head(queue_233),
    inference(forward_demodulation,[],[f2929,f2998]) ).

fof(f2998,plain,
    rselect_head(q24) = rselect_head(q43),
    inference(backward_demodulation,[],[f2878,f2997]) ).

fof(f2997,plain,
    rselect_head(q24) = rselect_head(queue_227),
    inference(forward_demodulation,[],[f2928,f2996]) ).

fof(f2996,plain,
    rselect_head(q24) = rselect_head(q42),
    inference(backward_demodulation,[],[f2877,f2995]) ).

fof(f2995,plain,
    rselect_head(q24) = rselect_head(queue_221),
    inference(forward_demodulation,[],[f2927,f2994]) ).

fof(f2994,plain,
    rselect_head(q24) = rselect_head(q41),
    inference(backward_demodulation,[],[f2876,f2993]) ).

fof(f2993,plain,
    rselect_head(q24) = rselect_head(queue_215),
    inference(forward_demodulation,[],[f2926,f2992]) ).

fof(f2992,plain,
    rselect_head(q24) = rselect_head(q40),
    inference(backward_demodulation,[],[f2875,f2991]) ).

fof(f2991,plain,
    rselect_head(q24) = rselect_head(queue_209),
    inference(forward_demodulation,[],[f2925,f2984]) ).

fof(f2984,plain,
    rselect_head(q24) = rselect_head(q39),
    inference(backward_demodulation,[],[f2873,f2983]) ).

fof(f2983,plain,
    rselect_head(q24) = rselect_head(queue_197),
    inference(forward_demodulation,[],[f2921,f2982]) ).

fof(f2982,plain,
    rselect_head(q24) = rselect_head(q38),
    inference(backward_demodulation,[],[f2872,f2981]) ).

fof(f2981,plain,
    rselect_head(q24) = rselect_head(queue_191),
    inference(forward_demodulation,[],[f2920,f2980]) ).

fof(f2980,plain,
    rselect_head(q24) = rselect_head(q37),
    inference(backward_demodulation,[],[f2871,f2979]) ).

fof(f2979,plain,
    rselect_head(q24) = rselect_head(queue_185),
    inference(forward_demodulation,[],[f2919,f2978]) ).

fof(f2978,plain,
    rselect_head(q24) = rselect_head(q36),
    inference(backward_demodulation,[],[f2870,f2977]) ).

fof(f2977,plain,
    rselect_head(q24) = rselect_head(queue_179),
    inference(forward_demodulation,[],[f2918,f2976]) ).

fof(f2976,plain,
    rselect_head(q24) = rselect_head(q35),
    inference(backward_demodulation,[],[f2869,f2975]) ).

fof(f2975,plain,
    rselect_head(q24) = rselect_head(queue_173),
    inference(forward_demodulation,[],[f2917,f2974]) ).

fof(f2974,plain,
    rselect_head(q24) = rselect_head(q34),
    inference(backward_demodulation,[],[f2867,f2973]) ).

fof(f2973,plain,
    rselect_head(q24) = rselect_head(queue_167),
    inference(forward_demodulation,[],[f2916,f2972]) ).

fof(f2972,plain,
    rselect_head(q24) = rselect_head(q33),
    inference(backward_demodulation,[],[f2866,f2971]) ).

fof(f2971,plain,
    rselect_head(q24) = rselect_head(queue_161),
    inference(forward_demodulation,[],[f2915,f2970]) ).

fof(f2970,plain,
    rselect_head(q24) = rselect_head(q32),
    inference(backward_demodulation,[],[f2865,f2969]) ).

fof(f2969,plain,
    rselect_head(q24) = rselect_head(queue_155),
    inference(forward_demodulation,[],[f2914,f2968]) ).

fof(f2968,plain,
    rselect_head(q24) = rselect_head(q31),
    inference(backward_demodulation,[],[f2864,f2967]) ).

fof(f2967,plain,
    rselect_head(q24) = rselect_head(queue_149),
    inference(forward_demodulation,[],[f2913,f2966]) ).

fof(f2966,plain,
    rselect_head(q24) = rselect_head(q30),
    inference(backward_demodulation,[],[f2863,f2965]) ).

fof(f2965,plain,
    rselect_head(q24) = rselect_head(queue_143),
    inference(forward_demodulation,[],[f2912,f2962]) ).

fof(f2962,plain,
    rselect_head(q24) = rselect_head(q29),
    inference(backward_demodulation,[],[f2861,f2961]) ).

fof(f2961,plain,
    rselect_head(q24) = rselect_head(queue_131),
    inference(forward_demodulation,[],[f2909,f2960]) ).

fof(f2960,plain,
    rselect_head(q24) = rselect_head(q28),
    inference(backward_demodulation,[],[f2860,f2959]) ).

fof(f2959,plain,
    rselect_head(q24) = rselect_head(queue_125),
    inference(forward_demodulation,[],[f2908,f2958]) ).

fof(f2958,plain,
    rselect_head(q24) = rselect_head(q27),
    inference(backward_demodulation,[],[f2859,f2957]) ).

fof(f2957,plain,
    rselect_head(q24) = rselect_head(queue_119),
    inference(forward_demodulation,[],[f2907,f2956]) ).

fof(f2956,plain,
    rselect_head(q24) = rselect_head(q26),
    inference(backward_demodulation,[],[f2858,f2955]) ).

fof(f2955,plain,
    rselect_head(q24) = rselect_head(queue_113),
    inference(forward_demodulation,[],[f2906,f2954]) ).

fof(f2954,plain,
    rselect_head(q24) = rselect_head(q25),
    inference(backward_demodulation,[],[f2856,f2905]) ).

fof(f2905,plain,
    rselect_head(q24) = rselect_head(queue_107),
    inference(superposition,[],[f9,f223]) ).

fof(f223,axiom,
    queue_107 = rstore_seq(q24,earray_106),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp206) ).

fof(f2856,plain,
    rselect_head(queue_107) = rselect_head(q25),
    inference(superposition,[],[f8,f831]) ).

fof(f831,plain,
    q25 = rstore_tail(queue_107,index_111),
    inference(backward_demodulation,[],[f387,f828]) ).

fof(f2906,plain,
    rselect_head(q25) = rselect_head(queue_113),
    inference(superposition,[],[f9,f226]) ).

fof(f226,axiom,
    queue_113 = rstore_seq(q25,earray_112),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp209) ).

fof(f2858,plain,
    rselect_head(queue_113) = rselect_head(q26),
    inference(superposition,[],[f8,f1963]) ).

fof(f1963,plain,
    q26 = rstore_tail(queue_113,index_99),
    inference(backward_demodulation,[],[f841,f1956]) ).

fof(f841,plain,
    q26 = rstore_tail(queue_113,index_117),
    inference(backward_demodulation,[],[f390,f838]) ).

fof(f2907,plain,
    rselect_head(q26) = rselect_head(queue_119),
    inference(superposition,[],[f9,f228]) ).

fof(f228,axiom,
    queue_119 = rstore_seq(q26,earray_118),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp211) ).

fof(f2859,plain,
    rselect_head(queue_119) = rselect_head(q27),
    inference(superposition,[],[f8,f1977]) ).

fof(f1977,plain,
    q27 = rstore_tail(queue_119,index_9),
    inference(backward_demodulation,[],[f846,f1972]) ).

fof(f846,plain,
    q27 = rstore_tail(queue_119,index_123),
    inference(backward_demodulation,[],[f392,f843]) ).

fof(f2908,plain,
    rselect_head(q27) = rselect_head(queue_125),
    inference(superposition,[],[f9,f230]) ).

fof(f230,axiom,
    queue_125 = rstore_seq(q27,earray_124),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp213) ).

fof(f2860,plain,
    rselect_head(queue_125) = rselect_head(q28),
    inference(superposition,[],[f8,f1992]) ).

fof(f1992,plain,
    q28 = rstore_tail(queue_125,index_111),
    inference(backward_demodulation,[],[f851,f1987]) ).

fof(f851,plain,
    q28 = rstore_tail(queue_125,index_129),
    inference(backward_demodulation,[],[f394,f848]) ).

fof(f2909,plain,
    rselect_head(q28) = rselect_head(queue_131),
    inference(superposition,[],[f9,f233]) ).

fof(f233,axiom,
    queue_131 = rstore_seq(q28,earray_130),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp216) ).

fof(f2861,plain,
    rselect_head(queue_131) = rselect_head(q29),
    inference(superposition,[],[f8,f2005]) ).

fof(f2005,plain,
    q29 = rstore_tail(queue_131,index_99),
    inference(backward_demodulation,[],[f856,f2000]) ).

fof(f856,plain,
    q29 = rstore_tail(queue_131,index_141),
    inference(backward_demodulation,[],[f397,f853]) ).

fof(f2912,plain,
    rselect_head(q29) = rselect_head(queue_143),
    inference(superposition,[],[f9,f237]) ).

fof(f237,axiom,
    queue_143 = rstore_seq(q29,earray_142),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp220) ).

fof(f2863,plain,
    rselect_head(queue_143) = rselect_head(q30),
    inference(superposition,[],[f8,f2019]) ).

fof(f2019,plain,
    q30 = rstore_tail(queue_143,index_9),
    inference(backward_demodulation,[],[f866,f2014]) ).

fof(f866,plain,
    q30 = rstore_tail(queue_143,index_147),
    inference(backward_demodulation,[],[f401,f863]) ).

fof(f2913,plain,
    rselect_head(q30) = rselect_head(queue_149),
    inference(superposition,[],[f9,f239]) ).

fof(f239,axiom,
    queue_149 = rstore_seq(q30,earray_148),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp222) ).

fof(f2864,plain,
    rselect_head(queue_149) = rselect_head(q31),
    inference(superposition,[],[f8,f2033]) ).

fof(f2033,plain,
    q31 = rstore_tail(queue_149,index_111),
    inference(backward_demodulation,[],[f871,f2028]) ).

fof(f871,plain,
    q31 = rstore_tail(queue_149,index_153),
    inference(backward_demodulation,[],[f403,f868]) ).

fof(f2914,plain,
    rselect_head(q31) = rselect_head(queue_155),
    inference(superposition,[],[f9,f241]) ).

fof(f241,axiom,
    queue_155 = rstore_seq(q31,earray_154),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp224) ).

fof(f2865,plain,
    rselect_head(queue_155) = rselect_head(q32),
    inference(superposition,[],[f8,f2046]) ).

fof(f2046,plain,
    q32 = rstore_tail(queue_155,index_99),
    inference(backward_demodulation,[],[f876,f2041]) ).

fof(f876,plain,
    q32 = rstore_tail(queue_155,index_159),
    inference(backward_demodulation,[],[f405,f873]) ).

fof(f2915,plain,
    rselect_head(q32) = rselect_head(queue_161),
    inference(superposition,[],[f9,f243]) ).

fof(f243,axiom,
    queue_161 = rstore_seq(q32,earray_160),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp226) ).

fof(f2866,plain,
    rselect_head(queue_161) = rselect_head(q33),
    inference(superposition,[],[f8,f2060]) ).

fof(f2060,plain,
    q33 = rstore_tail(queue_161,index_9),
    inference(backward_demodulation,[],[f881,f2055]) ).

fof(f881,plain,
    q33 = rstore_tail(queue_161,index_165),
    inference(backward_demodulation,[],[f407,f878]) ).

fof(f2916,plain,
    rselect_head(q33) = rselect_head(queue_167),
    inference(superposition,[],[f9,f245]) ).

fof(f245,axiom,
    queue_167 = rstore_seq(q33,earray_166),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp228) ).

fof(f2867,plain,
    rselect_head(queue_167) = rselect_head(q34),
    inference(superposition,[],[f8,f2074]) ).

fof(f2074,plain,
    q34 = rstore_tail(queue_167,index_111),
    inference(backward_demodulation,[],[f886,f2069]) ).

fof(f886,plain,
    q34 = rstore_tail(queue_167,index_171),
    inference(backward_demodulation,[],[f409,f883]) ).

fof(f2917,plain,
    rselect_head(q34) = rselect_head(queue_173),
    inference(superposition,[],[f9,f248]) ).

fof(f248,axiom,
    queue_173 = rstore_seq(q34,earray_172),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp231) ).

fof(f2869,plain,
    rselect_head(queue_173) = rselect_head(q35),
    inference(superposition,[],[f8,f2087]) ).

fof(f2087,plain,
    q35 = rstore_tail(queue_173,index_99),
    inference(backward_demodulation,[],[f896,f2082]) ).

fof(f896,plain,
    q35 = rstore_tail(queue_173,index_177),
    inference(backward_demodulation,[],[f412,f893]) ).

fof(f2918,plain,
    rselect_head(q35) = rselect_head(queue_179),
    inference(superposition,[],[f9,f250]) ).

fof(f250,axiom,
    queue_179 = rstore_seq(q35,earray_178),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp233) ).

fof(f2870,plain,
    rselect_head(queue_179) = rselect_head(q36),
    inference(superposition,[],[f8,f2101]) ).

fof(f2101,plain,
    q36 = rstore_tail(queue_179,index_9),
    inference(backward_demodulation,[],[f901,f2096]) ).

fof(f901,plain,
    q36 = rstore_tail(queue_179,index_183),
    inference(backward_demodulation,[],[f414,f898]) ).

fof(f2919,plain,
    rselect_head(q36) = rselect_head(queue_185),
    inference(superposition,[],[f9,f252]) ).

fof(f252,axiom,
    queue_185 = rstore_seq(q36,earray_184),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp235) ).

fof(f2871,plain,
    rselect_head(queue_185) = rselect_head(q37),
    inference(superposition,[],[f8,f2115]) ).

fof(f2115,plain,
    q37 = rstore_tail(queue_185,index_111),
    inference(backward_demodulation,[],[f906,f2110]) ).

fof(f906,plain,
    q37 = rstore_tail(queue_185,index_189),
    inference(backward_demodulation,[],[f416,f903]) ).

fof(f2920,plain,
    rselect_head(q37) = rselect_head(queue_191),
    inference(superposition,[],[f9,f255]) ).

fof(f255,axiom,
    queue_191 = rstore_seq(q37,earray_190),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp238) ).

fof(f2872,plain,
    rselect_head(queue_191) = rselect_head(q38),
    inference(superposition,[],[f8,f2128]) ).

fof(f2128,plain,
    q38 = rstore_tail(queue_191,index_99),
    inference(backward_demodulation,[],[f911,f2123]) ).

fof(f911,plain,
    q38 = rstore_tail(queue_191,index_195),
    inference(backward_demodulation,[],[f418,f908]) ).

fof(f2921,plain,
    rselect_head(q38) = rselect_head(queue_197),
    inference(superposition,[],[f9,f257]) ).

fof(f257,axiom,
    queue_197 = rstore_seq(q38,earray_196),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp240) ).

fof(f2873,plain,
    rselect_head(queue_197) = rselect_head(q39),
    inference(superposition,[],[f8,f2142]) ).

fof(f2142,plain,
    q39 = rstore_tail(queue_197,index_9),
    inference(backward_demodulation,[],[f916,f2137]) ).

fof(f916,plain,
    q39 = rstore_tail(queue_197,index_207),
    inference(backward_demodulation,[],[f415,f913]) ).

fof(f2925,plain,
    rselect_head(q39) = rselect_head(queue_209),
    inference(superposition,[],[f9,f261]) ).

fof(f261,axiom,
    queue_209 = rstore_seq(q39,earray_208),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp244) ).

fof(f2875,plain,
    rselect_head(queue_209) = rselect_head(q40),
    inference(superposition,[],[f8,f2156]) ).

fof(f2156,plain,
    q40 = rstore_tail(queue_209,index_111),
    inference(backward_demodulation,[],[f926,f2151]) ).

fof(f926,plain,
    q40 = rstore_tail(queue_209,index_213),
    inference(backward_demodulation,[],[f419,f923]) ).

fof(f2926,plain,
    rselect_head(q40) = rselect_head(queue_215),
    inference(superposition,[],[f9,f263]) ).

fof(f263,axiom,
    queue_215 = rstore_seq(q40,earray_214),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp246) ).

fof(f2876,plain,
    rselect_head(queue_215) = rselect_head(q41),
    inference(superposition,[],[f8,f2169]) ).

fof(f2169,plain,
    q41 = rstore_tail(queue_215,index_99),
    inference(backward_demodulation,[],[f931,f2164]) ).

fof(f931,plain,
    q41 = rstore_tail(queue_215,index_219),
    inference(backward_demodulation,[],[f411,f928]) ).

fof(f2927,plain,
    rselect_head(q41) = rselect_head(queue_221),
    inference(superposition,[],[f9,f265]) ).

fof(f265,axiom,
    queue_221 = rstore_seq(q41,earray_220),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp248) ).

fof(f2877,plain,
    rselect_head(queue_221) = rselect_head(q42),
    inference(superposition,[],[f8,f2183]) ).

fof(f2183,plain,
    q42 = rstore_tail(queue_221,index_9),
    inference(backward_demodulation,[],[f936,f2178]) ).

fof(f936,plain,
    q42 = rstore_tail(queue_221,index_225),
    inference(backward_demodulation,[],[f410,f933]) ).

fof(f2928,plain,
    rselect_head(q42) = rselect_head(queue_227),
    inference(superposition,[],[f9,f267]) ).

fof(f267,axiom,
    queue_227 = rstore_seq(q42,earray_226),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp250) ).

fof(f2878,plain,
    rselect_head(queue_227) = rselect_head(q43),
    inference(superposition,[],[f8,f2197]) ).

fof(f2197,plain,
    q43 = rstore_tail(queue_227,index_111),
    inference(backward_demodulation,[],[f941,f2192]) ).

fof(f941,plain,
    q43 = rstore_tail(queue_227,index_231),
    inference(backward_demodulation,[],[f408,f938]) ).

fof(f2929,plain,
    rselect_head(q43) = rselect_head(queue_233),
    inference(superposition,[],[f9,f270]) ).

fof(f270,axiom,
    queue_233 = rstore_seq(q43,earray_232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp253) ).

fof(f2880,plain,
    rselect_head(queue_233) = rselect_head(q44),
    inference(superposition,[],[f8,f2210]) ).

fof(f2210,plain,
    q44 = rstore_tail(queue_233,index_99),
    inference(backward_demodulation,[],[f951,f2205]) ).

fof(f951,plain,
    q44 = rstore_tail(queue_233,index_237),
    inference(backward_demodulation,[],[f406,f948]) ).

fof(f2930,plain,
    rselect_head(q44) = rselect_head(queue_239),
    inference(superposition,[],[f9,f272]) ).

fof(f272,axiom,
    queue_239 = rstore_seq(q44,earray_238),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp255) ).

fof(f2881,plain,
    rselect_head(queue_239) = rselect_head(q45),
    inference(superposition,[],[f8,f2224]) ).

fof(f2224,plain,
    q45 = rstore_tail(queue_239,index_9),
    inference(backward_demodulation,[],[f956,f2219]) ).

fof(f956,plain,
    q45 = rstore_tail(queue_239,index_243),
    inference(backward_demodulation,[],[f404,f953]) ).

fof(f2931,plain,
    rselect_head(q45) = rselect_head(queue_245),
    inference(superposition,[],[f9,f274]) ).

fof(f274,axiom,
    queue_245 = rstore_seq(q45,earray_244),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp257) ).

fof(f2882,plain,
    rselect_head(queue_245) = rselect_head(q46),
    inference(superposition,[],[f8,f2238]) ).

fof(f2238,plain,
    q46 = rstore_tail(queue_245,index_111),
    inference(backward_demodulation,[],[f961,f2233]) ).

fof(f961,plain,
    q46 = rstore_tail(queue_245,index_249),
    inference(backward_demodulation,[],[f402,f958]) ).

fof(f2932,plain,
    rselect_head(q46) = rselect_head(queue_251),
    inference(superposition,[],[f9,f277]) ).

fof(f277,axiom,
    queue_251 = rstore_seq(q46,earray_250),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp260) ).

fof(f2883,plain,
    rselect_head(queue_251) = rselect_head(q47),
    inference(superposition,[],[f8,f2251]) ).

fof(f2251,plain,
    q47 = rstore_tail(queue_251,index_99),
    inference(backward_demodulation,[],[f966,f2246]) ).

fof(f966,plain,
    q47 = rstore_tail(queue_251,index_255),
    inference(backward_demodulation,[],[f398,f963]) ).

fof(f2933,plain,
    rselect_head(q47) = rselect_head(queue_257),
    inference(superposition,[],[f9,f279]) ).

fof(f279,axiom,
    queue_257 = rstore_seq(q47,earray_256),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp262) ).

fof(f2884,plain,
    rselect_head(queue_257) = rselect_head(q48),
    inference(superposition,[],[f8,f2268]) ).

fof(f2268,plain,
    q48 = rstore_tail(queue_257,index_9),
    inference(backward_demodulation,[],[f971,f2260]) ).

fof(f971,plain,
    q48 = rstore_tail(queue_257,index_261),
    inference(backward_demodulation,[],[f396,f968]) ).

fof(f2855,plain,
    rselect_head(queue_101) = rselect_head(q24),
    inference(superposition,[],[f8,f1903]) ).

fof(f1903,plain,
    q24 = rstore_tail(queue_101,index_9),
    inference(backward_demodulation,[],[f826,f1896]) ).

fof(f826,plain,
    q24 = rstore_tail(queue_101,index_105),
    inference(backward_demodulation,[],[f385,f823]) ).

fof(f3130,plain,
    index_0 = rselect_head(queue_101),
    inference(forward_demodulation,[],[f2953,f3129]) ).

fof(f3129,plain,
    index_0 = rselect_head(q23),
    inference(backward_demodulation,[],[f2903,f3128]) ).

fof(f3128,plain,
    index_0 = rselect_head(queue_95),
    inference(forward_demodulation,[],[f2952,f3127]) ).

fof(f3127,plain,
    index_0 = rselect_head(q22),
    inference(backward_demodulation,[],[f2902,f3126]) ).

fof(f3126,plain,
    index_0 = rselect_head(queue_89),
    inference(forward_demodulation,[],[f2951,f3125]) ).

fof(f3125,plain,
    index_0 = rselect_head(q21),
    inference(backward_demodulation,[],[f2901,f3124]) ).

fof(f3124,plain,
    index_0 = rselect_head(queue_83),
    inference(forward_demodulation,[],[f2950,f3123]) ).

fof(f3123,plain,
    index_0 = rselect_head(q20),
    inference(backward_demodulation,[],[f3101,f3103]) ).

fof(f3103,plain,
    index_0 = rselect_head(q10),
    inference(backward_demodulation,[],[f2857,f3102]) ).

fof(f3102,plain,
    index_0 = rselect_head(queue_11),
    inference(forward_demodulation,[],[f2949,f3099]) ).

fof(f3099,plain,
    index_0 = rselect_head(q9),
    inference(backward_demodulation,[],[f3070,f3084]) ).

fof(f3084,plain,
    index_0 = rselect_head(q2),
    inference(forward_demodulation,[],[f3083,f2986]) ).

fof(f2986,plain,
    index_0 = rselect_head(q1),
    inference(backward_demodulation,[],[f2895,f2985]) ).

fof(f2985,plain,
    index_0 = rselect_head(queue_5),
    inference(forward_demodulation,[],[f2922,f773]) ).

fof(f773,plain,
    index_0 = rselect_head(q0),
    inference(superposition,[],[f4,f370]) ).

fof(f4,axiom,
    ! [X2,X0] : rselect_head(rstore_head(X0,X2)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_head) ).

fof(f2922,plain,
    rselect_head(q0) = rselect_head(queue_5),
    inference(superposition,[],[f9,f301]) ).

fof(f301,axiom,
    queue_5 = rstore_seq(q0,earray_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp284) ).

fof(f2895,plain,
    rselect_head(queue_5) = rselect_head(q1),
    inference(superposition,[],[f8,f1933]) ).

fof(f1933,plain,
    q1 = rstore_tail(queue_5,index_111),
    inference(backward_demodulation,[],[f1689,f1912]) ).

fof(f1689,plain,
    q1 = rstore_tail(queue_5,index_15),
    inference(backward_demodulation,[],[f1033,f1684]) ).

fof(f1033,plain,
    q1 = rstore_tail(queue_5,index_69),
    inference(backward_demodulation,[],[f377,f1030]) ).

fof(f3083,plain,
    rselect_head(q1) = rselect_head(q2),
    inference(forward_demodulation,[],[f2947,f2899]) ).

fof(f2899,plain,
    rselect_head(queue_71) = rselect_head(q2),
    inference(superposition,[],[f8,f1858]) ).

fof(f1858,plain,
    q2 = rstore_tail(queue_71,index_99),
    inference(backward_demodulation,[],[f1054,f1853]) ).

fof(f1054,plain,
    q2 = rstore_tail(queue_71,index_135),
    inference(backward_demodulation,[],[f375,f1050]) ).

fof(f2947,plain,
    rselect_head(q1) = rselect_head(queue_71),
    inference(superposition,[],[f9,f2836]) ).

fof(f2836,plain,
    queue_71 = rstore_seq(q1,earray_134),
    inference(backward_demodulation,[],[f309,f2833]) ).

fof(f2833,plain,
    earray_134 = earray_70,
    inference(forward_demodulation,[],[f2832,f29]) ).

fof(f29,axiom,
    earray_134 = rselect_seq(q2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

fof(f2832,plain,
    rselect_seq(q2) = earray_70,
    inference(forward_demodulation,[],[f2691,f766]) ).

fof(f766,plain,
    earray_70 = rselect_seq(queue_71),
    inference(superposition,[],[f3,f309]) ).

fof(f2691,plain,
    rselect_seq(q2) = rselect_seq(queue_71),
    inference(superposition,[],[f7,f1858]) ).

fof(f309,axiom,
    queue_71 = rstore_seq(q1,earray_70),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp292) ).

fof(f3070,plain,
    rselect_head(q9) = rselect_head(q2),
    inference(backward_demodulation,[],[f2891,f3069]) ).

fof(f3069,plain,
    rselect_head(queue_293) = rselect_head(q2),
    inference(forward_demodulation,[],[f2940,f3068]) ).

fof(f3068,plain,
    rselect_head(q8) = rselect_head(q2),
    inference(backward_demodulation,[],[f2889,f3067]) ).

fof(f3067,plain,
    rselect_head(queue_287) = rselect_head(q2),
    inference(forward_demodulation,[],[f2939,f3066]) ).

fof(f3066,plain,
    rselect_head(q7) = rselect_head(q2),
    inference(backward_demodulation,[],[f2888,f3065]) ).

fof(f3065,plain,
    rselect_head(queue_281) = rselect_head(q2),
    inference(forward_demodulation,[],[f2938,f3064]) ).

fof(f3064,plain,
    rselect_head(q6) = rselect_head(q2),
    inference(backward_demodulation,[],[f2887,f3063]) ).

fof(f3063,plain,
    rselect_head(queue_275) = rselect_head(q2),
    inference(forward_demodulation,[],[f2937,f3062]) ).

fof(f3062,plain,
    rselect_head(q5) = rselect_head(q2),
    inference(backward_demodulation,[],[f2886,f3061]) ).

fof(f3061,plain,
    rselect_head(queue_269) = rselect_head(q2),
    inference(forward_demodulation,[],[f2936,f2990]) ).

fof(f2990,plain,
    rselect_head(q4) = rselect_head(q2),
    inference(backward_demodulation,[],[f2874,f2989]) ).

fof(f2989,plain,
    rselect_head(queue_203) = rselect_head(q2),
    inference(forward_demodulation,[],[f2924,f2963]) ).

fof(f2963,plain,
    rselect_head(q3) = rselect_head(q2),
    inference(backward_demodulation,[],[f2862,f2910]) ).

fof(f2910,plain,
    rselect_head(queue_137) = rselect_head(q2),
    inference(superposition,[],[f9,f235]) ).

fof(f235,axiom,
    queue_137 = rstore_seq(q2,earray_136),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp218) ).

fof(f2862,plain,
    rselect_head(queue_137) = rselect_head(q3),
    inference(superposition,[],[f8,f1657]) ).

fof(f1657,plain,
    q3 = rstore_tail(queue_137,index_9),
    inference(backward_demodulation,[],[f861,f1651]) ).

fof(f861,plain,
    q3 = rstore_tail(queue_137,index_201),
    inference(backward_demodulation,[],[f399,f858]) ).

fof(f2924,plain,
    rselect_head(q3) = rselect_head(queue_203),
    inference(superposition,[],[f9,f259]) ).

fof(f259,axiom,
    queue_203 = rstore_seq(q3,earray_202),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp242) ).

fof(f2874,plain,
    rselect_head(queue_203) = rselect_head(q4),
    inference(superposition,[],[f8,f1928]) ).

fof(f1928,plain,
    q4 = rstore_tail(queue_203,index_111),
    inference(backward_demodulation,[],[f1646,f1912]) ).

fof(f1646,plain,
    q4 = rstore_tail(queue_203,index_15),
    inference(backward_demodulation,[],[f921,f1640]) ).

fof(f921,plain,
    q4 = rstore_tail(queue_203,index_267),
    inference(backward_demodulation,[],[f413,f918]) ).

fof(f2936,plain,
    rselect_head(q4) = rselect_head(queue_269),
    inference(superposition,[],[f9,f283]) ).

fof(f283,axiom,
    queue_269 = rstore_seq(q4,earray_268),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp266) ).

fof(f2886,plain,
    rselect_head(queue_269) = rselect_head(q5),
    inference(superposition,[],[f8,f1879]) ).

fof(f1879,plain,
    q5 = rstore_tail(queue_269,index_99),
    inference(backward_demodulation,[],[f1706,f1853]) ).

fof(f1706,plain,
    q5 = rstore_tail(queue_269,index_135),
    inference(forward_demodulation,[],[f1635,f1665]) ).

fof(f1635,plain,
    q5 = rstore_tail(queue_269,index_21),
    inference(backward_demodulation,[],[f985,f1629]) ).

fof(f985,plain,
    q5 = rstore_tail(queue_269,index_273),
    inference(backward_demodulation,[],[f391,f982]) ).

fof(f2937,plain,
    rselect_head(q5) = rselect_head(queue_275),
    inference(superposition,[],[f9,f285]) ).

fof(f285,axiom,
    queue_275 = rstore_seq(q5,earray_274),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp268) ).

fof(f2887,plain,
    rselect_head(queue_275) = rselect_head(q6),
    inference(superposition,[],[f8,f1621]) ).

fof(f1621,plain,
    q6 = rstore_tail(queue_275,index_9),
    inference(backward_demodulation,[],[f990,f1615]) ).

fof(f990,plain,
    q6 = rstore_tail(queue_275,index_279),
    inference(backward_demodulation,[],[f389,f987]) ).

fof(f2938,plain,
    rselect_head(q6) = rselect_head(queue_281),
    inference(superposition,[],[f9,f287]) ).

fof(f287,axiom,
    queue_281 = rstore_seq(q6,earray_280),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp270) ).

fof(f2888,plain,
    rselect_head(queue_281) = rselect_head(q7),
    inference(superposition,[],[f8,f1923]) ).

fof(f1923,plain,
    q7 = rstore_tail(queue_281,index_111),
    inference(backward_demodulation,[],[f1608,f1912]) ).

fof(f1608,plain,
    q7 = rstore_tail(queue_281,index_15),
    inference(backward_demodulation,[],[f995,f1602]) ).

fof(f995,plain,
    q7 = rstore_tail(queue_281,index_285),
    inference(backward_demodulation,[],[f388,f992]) ).

fof(f2939,plain,
    rselect_head(q7) = rselect_head(queue_287),
    inference(superposition,[],[f9,f289]) ).

fof(f289,axiom,
    queue_287 = rstore_seq(q7,earray_286),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp272) ).

fof(f2889,plain,
    rselect_head(queue_287) = rselect_head(q8),
    inference(superposition,[],[f8,f1880]) ).

fof(f1880,plain,
    q8 = rstore_tail(queue_287,index_99),
    inference(backward_demodulation,[],[f1716,f1853]) ).

fof(f1716,plain,
    q8 = rstore_tail(queue_287,index_135),
    inference(forward_demodulation,[],[f1596,f1665]) ).

fof(f1596,plain,
    q8 = rstore_tail(queue_287,index_21),
    inference(backward_demodulation,[],[f1000,f1591]) ).

fof(f1000,plain,
    q8 = rstore_tail(queue_287,index_291),
    inference(backward_demodulation,[],[f386,f997]) ).

fof(f2940,plain,
    rselect_head(q8) = rselect_head(queue_293),
    inference(superposition,[],[f9,f2810]) ).

fof(f2810,plain,
    queue_293 = rstore_seq(q8,earray_8),
    inference(backward_demodulation,[],[f292,f2807]) ).

fof(f2807,plain,
    earray_8 = earray_292,
    inference(forward_demodulation,[],[f2806,f108]) ).

fof(f108,axiom,
    earray_8 = rselect_seq(q9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp91) ).

fof(f2806,plain,
    earray_292 = rselect_seq(q9),
    inference(forward_demodulation,[],[f2683,f759]) ).

fof(f759,plain,
    earray_292 = rselect_seq(queue_293),
    inference(superposition,[],[f3,f292]) ).

fof(f2683,plain,
    rselect_seq(q9) = rselect_seq(queue_293),
    inference(superposition,[],[f7,f1011]) ).

fof(f1011,plain,
    q9 = rstore_tail(queue_293,index_9),
    inference(backward_demodulation,[],[f384,f1007]) ).

fof(f292,axiom,
    queue_293 = rstore_seq(q8,earray_292),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp275) ).

fof(f2891,plain,
    rselect_head(queue_293) = rselect_head(q9),
    inference(superposition,[],[f8,f1011]) ).

fof(f2949,plain,
    rselect_head(queue_11) = rselect_head(q9),
    inference(superposition,[],[f9,f225]) ).

fof(f225,axiom,
    queue_11 = rstore_seq(q9,earray_10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp208) ).

fof(f2857,plain,
    rselect_head(queue_11) = rselect_head(q10),
    inference(superposition,[],[f8,f1918]) ).

fof(f1918,plain,
    q10 = rstore_tail(queue_11,index_111),
    inference(backward_demodulation,[],[f836,f1912]) ).

fof(f836,plain,
    q10 = rstore_tail(queue_11,index_15),
    inference(backward_demodulation,[],[f395,f833]) ).

fof(f3101,plain,
    rselect_head(q10) = rselect_head(q20),
    inference(backward_demodulation,[],[f2900,f3100]) ).

fof(f3100,plain,
    rselect_head(q10) = rselect_head(queue_77),
    inference(forward_demodulation,[],[f2948,f3082]) ).

fof(f3082,plain,
    rselect_head(q10) = rselect_head(q19),
    inference(backward_demodulation,[],[f2898,f3081]) ).

fof(f3081,plain,
    rselect_head(q10) = rselect_head(queue_65),
    inference(forward_demodulation,[],[f2946,f3080]) ).

fof(f3080,plain,
    rselect_head(q10) = rselect_head(q18),
    inference(backward_demodulation,[],[f2897,f3079]) ).

fof(f3079,plain,
    rselect_head(q10) = rselect_head(queue_59),
    inference(forward_demodulation,[],[f2945,f3078]) ).

fof(f3078,plain,
    rselect_head(q10) = rselect_head(q17),
    inference(backward_demodulation,[],[f2896,f3077]) ).

fof(f3077,plain,
    rselect_head(q10) = rselect_head(queue_53),
    inference(forward_demodulation,[],[f2944,f3076]) ).

fof(f3076,plain,
    rselect_head(q10) = rselect_head(q16),
    inference(backward_demodulation,[],[f2894,f3075]) ).

fof(f3075,plain,
    rselect_head(q10) = rselect_head(queue_47),
    inference(forward_demodulation,[],[f2943,f3074]) ).

fof(f3074,plain,
    rselect_head(q10) = rselect_head(q15),
    inference(backward_demodulation,[],[f2893,f3073]) ).

fof(f3073,plain,
    rselect_head(q10) = rselect_head(queue_41),
    inference(forward_demodulation,[],[f2942,f3072]) ).

fof(f3072,plain,
    rselect_head(q10) = rselect_head(q14),
    inference(backward_demodulation,[],[f2892,f3071]) ).

fof(f3071,plain,
    rselect_head(q10) = rselect_head(queue_35),
    inference(forward_demodulation,[],[f2941,f3010]) ).

fof(f3010,plain,
    rselect_head(q10) = rselect_head(q13),
    inference(backward_demodulation,[],[f2890,f3009]) ).

fof(f3009,plain,
    rselect_head(q10) = rselect_head(queue_29),
    inference(forward_demodulation,[],[f2934,f2988]) ).

fof(f2988,plain,
    rselect_head(q10) = rselect_head(q12),
    inference(backward_demodulation,[],[f2879,f2987]) ).

fof(f2987,plain,
    rselect_head(q10) = rselect_head(queue_23),
    inference(forward_demodulation,[],[f2923,f2964]) ).

fof(f2964,plain,
    rselect_head(q10) = rselect_head(q11),
    inference(backward_demodulation,[],[f2868,f2911]) ).

fof(f2911,plain,
    rselect_head(q10) = rselect_head(queue_17),
    inference(superposition,[],[f9,f247]) ).

fof(f247,axiom,
    queue_17 = rstore_seq(q10,earray_16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp230) ).

fof(f2868,plain,
    rselect_head(queue_17) = rselect_head(q11),
    inference(superposition,[],[f8,f1867]) ).

fof(f1867,plain,
    q11 = rstore_tail(queue_17,index_99),
    inference(backward_demodulation,[],[f1670,f1853]) ).

fof(f1670,plain,
    q11 = rstore_tail(queue_17,index_135),
    inference(backward_demodulation,[],[f891,f1665]) ).

fof(f891,plain,
    q11 = rstore_tail(queue_17,index_21),
    inference(backward_demodulation,[],[f417,f888]) ).

fof(f2923,plain,
    rselect_head(q11) = rselect_head(queue_23),
    inference(superposition,[],[f9,f269]) ).

fof(f269,axiom,
    queue_23 = rstore_seq(q11,earray_22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp252) ).

fof(f2879,plain,
    rselect_head(queue_23) = rselect_head(q12),
    inference(superposition,[],[f8,f1581]) ).

fof(f1581,plain,
    q12 = rstore_tail(queue_23,index_9),
    inference(backward_demodulation,[],[f946,f1573]) ).

fof(f946,plain,
    q12 = rstore_tail(queue_23,index_27),
    inference(backward_demodulation,[],[f400,f943]) ).

fof(f2934,plain,
    rselect_head(q12) = rselect_head(queue_29),
    inference(superposition,[],[f9,f291]) ).

fof(f291,axiom,
    queue_29 = rstore_seq(q12,earray_28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp274) ).

fof(f2890,plain,
    rselect_head(queue_29) = rselect_head(q13),
    inference(superposition,[],[f8,f1938]) ).

fof(f1938,plain,
    q13 = rstore_tail(queue_29,index_111),
    inference(backward_demodulation,[],[f1728,f1912]) ).

fof(f1728,plain,
    q13 = rstore_tail(queue_29,index_15),
    inference(backward_demodulation,[],[f1005,f1723]) ).

fof(f1005,plain,
    q13 = rstore_tail(queue_29,index_33),
    inference(backward_demodulation,[],[f381,f1002]) ).

fof(f2941,plain,
    rselect_head(q13) = rselect_head(queue_35),
    inference(superposition,[],[f9,f295]) ).

fof(f295,axiom,
    queue_35 = rstore_seq(q13,earray_34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp278) ).

fof(f2892,plain,
    rselect_head(queue_35) = rselect_head(q14),
    inference(superposition,[],[f8,f1885]) ).

fof(f1885,plain,
    q14 = rstore_tail(queue_35,index_99),
    inference(backward_demodulation,[],[f1741,f1853]) ).

fof(f1741,plain,
    q14 = rstore_tail(queue_35,index_135),
    inference(backward_demodulation,[],[f1018,f1736]) ).

fof(f1018,plain,
    q14 = rstore_tail(queue_35,index_39),
    inference(backward_demodulation,[],[f379,f1015]) ).

fof(f2942,plain,
    rselect_head(q14) = rselect_head(queue_41),
    inference(superposition,[],[f9,f297]) ).

fof(f297,axiom,
    queue_41 = rstore_seq(q14,earray_40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp280) ).

fof(f2893,plain,
    rselect_head(queue_41) = rselect_head(q15),
    inference(superposition,[],[f8,f1755]) ).

fof(f1755,plain,
    q15 = rstore_tail(queue_41,index_9),
    inference(backward_demodulation,[],[f1023,f1750]) ).

fof(f1023,plain,
    q15 = rstore_tail(queue_41,index_45),
    inference(backward_demodulation,[],[f380,f1020]) ).

fof(f2943,plain,
    rselect_head(q15) = rselect_head(queue_47),
    inference(superposition,[],[f9,f299]) ).

fof(f299,axiom,
    queue_47 = rstore_seq(q15,earray_46),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp282) ).

fof(f2894,plain,
    rselect_head(queue_47) = rselect_head(q16),
    inference(superposition,[],[f8,f1943]) ).

fof(f1943,plain,
    q16 = rstore_tail(queue_47,index_111),
    inference(backward_demodulation,[],[f1769,f1912]) ).

fof(f1769,plain,
    q16 = rstore_tail(queue_47,index_15),
    inference(backward_demodulation,[],[f1028,f1764]) ).

fof(f1028,plain,
    q16 = rstore_tail(queue_47,index_51),
    inference(backward_demodulation,[],[f382,f1025]) ).

fof(f2944,plain,
    rselect_head(q16) = rselect_head(queue_53),
    inference(superposition,[],[f9,f302]) ).

fof(f302,axiom,
    queue_53 = rstore_seq(q16,earray_52),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp285) ).

fof(f2896,plain,
    rselect_head(queue_53) = rselect_head(q17),
    inference(superposition,[],[f8,f1890]) ).

fof(f1890,plain,
    q17 = rstore_tail(queue_53,index_99),
    inference(backward_demodulation,[],[f1782,f1853]) ).

fof(f1782,plain,
    q17 = rstore_tail(queue_53,index_135),
    inference(backward_demodulation,[],[f1038,f1777]) ).

fof(f1038,plain,
    q17 = rstore_tail(queue_53,index_57),
    inference(backward_demodulation,[],[f383,f1035]) ).

fof(f2945,plain,
    rselect_head(q17) = rselect_head(queue_59),
    inference(superposition,[],[f9,f304]) ).

fof(f304,axiom,
    queue_59 = rstore_seq(q17,earray_58),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp287) ).

fof(f2897,plain,
    rselect_head(queue_59) = rselect_head(q18),
    inference(superposition,[],[f8,f1796]) ).

fof(f1796,plain,
    q18 = rstore_tail(queue_59,index_9),
    inference(backward_demodulation,[],[f1043,f1791]) ).

fof(f1043,plain,
    q18 = rstore_tail(queue_59,index_63),
    inference(backward_demodulation,[],[f378,f1040]) ).

fof(f2946,plain,
    rselect_head(q18) = rselect_head(queue_65),
    inference(superposition,[],[f9,f306]) ).

fof(f306,axiom,
    queue_65 = rstore_seq(q18,earray_64),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp289) ).

fof(f2898,plain,
    rselect_head(queue_65) = rselect_head(q19),
    inference(superposition,[],[f8,f1948]) ).

fof(f1948,plain,
    q19 = rstore_tail(queue_65,index_111),
    inference(backward_demodulation,[],[f1810,f1912]) ).

fof(f1810,plain,
    q19 = rstore_tail(queue_65,index_15),
    inference(backward_demodulation,[],[f1048,f1805]) ).

fof(f1048,plain,
    q19 = rstore_tail(queue_65,index_75),
    inference(backward_demodulation,[],[f376,f1045]) ).

fof(f2948,plain,
    rselect_head(q19) = rselect_head(queue_77),
    inference(superposition,[],[f9,f311]) ).

fof(f311,axiom,
    queue_77 = rstore_seq(q19,earray_76),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp294) ).

fof(f2900,plain,
    rselect_head(queue_77) = rselect_head(q20),
    inference(superposition,[],[f8,f1895]) ).

fof(f1895,plain,
    q20 = rstore_tail(queue_77,index_99),
    inference(backward_demodulation,[],[f1823,f1853]) ).

fof(f1823,plain,
    q20 = rstore_tail(queue_77,index_135),
    inference(backward_demodulation,[],[f1061,f1818]) ).

fof(f1061,plain,
    q20 = rstore_tail(queue_77,index_81),
    inference(backward_demodulation,[],[f374,f1058]) ).

fof(f2950,plain,
    rselect_head(q20) = rselect_head(queue_83),
    inference(superposition,[],[f9,f313]) ).

fof(f313,axiom,
    queue_83 = rstore_seq(q20,earray_82),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp296) ).

fof(f2901,plain,
    rselect_head(queue_83) = rselect_head(q21),
    inference(superposition,[],[f8,f1837]) ).

fof(f1837,plain,
    q21 = rstore_tail(queue_83,index_9),
    inference(backward_demodulation,[],[f1066,f1832]) ).

fof(f1066,plain,
    q21 = rstore_tail(queue_83,index_87),
    inference(backward_demodulation,[],[f371,f1063]) ).

fof(f2951,plain,
    rselect_head(q21) = rselect_head(queue_89),
    inference(superposition,[],[f9,f315]) ).

fof(f315,axiom,
    queue_89 = rstore_seq(q21,earray_88),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp298) ).

fof(f2902,plain,
    rselect_head(queue_89) = rselect_head(q22),
    inference(superposition,[],[f8,f1953]) ).

fof(f1953,plain,
    q22 = rstore_tail(queue_89,index_111),
    inference(backward_demodulation,[],[f1849,f1912]) ).

fof(f1849,plain,
    q22 = rstore_tail(queue_89,index_15),
    inference(backward_demodulation,[],[f1071,f1845]) ).

fof(f1071,plain,
    q22 = rstore_tail(queue_89,index_93),
    inference(backward_demodulation,[],[f372,f1068]) ).

fof(f2952,plain,
    rselect_head(q22) = rselect_head(queue_95),
    inference(superposition,[],[f9,f2850]) ).

fof(f2850,plain,
    queue_95 = rstore_seq(q22,earray_98),
    inference(backward_demodulation,[],[f317,f2847]) ).

fof(f2847,plain,
    earray_98 = earray_94,
    inference(forward_demodulation,[],[f2846,f115]) ).

fof(f115,axiom,
    earray_98 = rselect_seq(q23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp98) ).

fof(f2846,plain,
    earray_94 = rselect_seq(q23),
    inference(forward_demodulation,[],[f2695,f771]) ).

fof(f771,plain,
    earray_94 = rselect_seq(queue_95),
    inference(superposition,[],[f3,f317]) ).

fof(f2695,plain,
    rselect_seq(q23) = rselect_seq(queue_95),
    inference(superposition,[],[f7,f1077]) ).

fof(f1077,plain,
    q23 = rstore_tail(queue_95,index_99),
    inference(backward_demodulation,[],[f373,f1073]) ).

fof(f317,axiom,
    queue_95 = rstore_seq(q22,earray_94),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp300) ).

fof(f2903,plain,
    rselect_head(queue_95) = rselect_head(q23),
    inference(superposition,[],[f8,f1077]) ).

fof(f2953,plain,
    rselect_head(queue_101) = rselect_head(q23),
    inference(superposition,[],[f9,f221]) ).

fof(f221,axiom,
    queue_101 = rstore_seq(q23,earray_100),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp204) ).

fof(f370,plain,
    q0 = rstore_head(q,index_0),
    inference(forward_demodulation,[],[f220,f319]) ).

fof(f319,axiom,
    q0 = queue_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp302) ).

fof(f220,axiom,
    queue_1 = rstore_head(q,index_0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp203) ).

fof(f11,axiom,
    ! [X2,X0] : rselect_tail(X0) = rselect_tail(rstore_head(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_tail_head) ).

fof(f3132,plain,
    index_297 = rselect_tail(q),
    inference(backward_demodulation,[],[f118,f3131]) ).

fof(f118,axiom,
    index_0 = rselect_tail(q),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp101) ).

fof(f116,axiom,
    elem_298 = select(earray_296,index_297),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp99) ).

fof(f2271,plain,
    elem_301 = select(earray_296,index_9),
    inference(backward_demodulation,[],[f980,f2260]) ).

fof(f980,plain,
    elem_301 = select(earray_296,index_261),
    inference(backward_demodulation,[],[f117,f977]) ).

fof(f977,plain,
    index_261 = index_300,
    inference(forward_demodulation,[],[f975,f500]) ).

fof(f500,plain,
    index_261 = p(index_264),
    inference(superposition,[],[f12,f178]) ).

fof(f975,plain,
    index_300 = p(index_264),
    inference(backward_demodulation,[],[f519,f973]) ).

fof(f973,plain,
    index_264 = index_299,
    inference(backward_demodulation,[],[f191,f804]) ).

fof(f804,plain,
    index_264 = rselect_tail(q49),
    inference(superposition,[],[f5,f393]) ).

fof(f191,axiom,
    index_299 = rselect_tail(q49),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp174) ).

fof(f519,plain,
    index_300 = p(index_299),
    inference(superposition,[],[f12,f194]) ).

fof(f194,axiom,
    index_299 = s(index_300),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp177) ).

fof(f117,axiom,
    elem_301 = select(earray_296,index_300),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp100) ).

fof(f369,axiom,
    elem_298 != elem_301,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV570-1.049 : TPTP v8.2.0. Bugfixed v5.0.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun May 19 06:39:37 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  % (1009)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35  % (1011)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35  % (1018)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.35  % (1013)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (1017)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36  % (1014)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36  % (1012)WARNING: value z3 for option sas not known
% 0.13/0.36  % (1010)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (1012)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.40  TRYING [1]
% 0.18/0.41  TRYING [2]
% 0.18/0.42  TRYING [4]
% 0.18/0.43  TRYING [1]
% 0.18/0.43  TRYING [2]
% 0.18/0.45  % (1017)First to succeed.
% 0.18/0.45  TRYING [3]
% 0.18/0.45  % (1017)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1009"
% 0.18/0.46  % (1017)Refutation found. Thanks to Tanya!
% 0.18/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46  % (1017)------------------------------
% 0.18/0.46  % (1017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.46  % (1017)Termination reason: Refutation
% 0.18/0.46  
% 0.18/0.46  % (1017)Memory used [KB]: 2220
% 0.18/0.46  % (1017)Time elapsed: 0.099 s
% 0.18/0.46  % (1017)Instructions burned: 202 (million)
% 0.18/0.46  % (1009)Success in time 0.121 s
%------------------------------------------------------------------------------