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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:44:32 AM UTC 2026

% Result   : Theorem 0.21s 0.32s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  135 (  70 unt;   2 def)
%            Number of atoms       :  212 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  150 (  73   ~;  67   |;   3   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  30 con; 0-2 aty)
%            Number of variables   :   57 (   0 sgn  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(f9,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f11,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

fof(f13,axiom,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

fof(f15,axiom,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

fof(f17,axiom,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

fof(f19,axiom,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

fof(f21,axiom,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).

fof(f23,axiom,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

fof(f25,axiom,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).

fof(f27,axiom,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).

fof(f29,axiom,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).

fof(f31,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).

fof(f33,axiom,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).

fof(f35,axiom,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).

fof(f37,axiom,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).

fof(f39,axiom,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).

fof(f41,axiom,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

fof(f43,axiom,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).

fof(f45,axiom,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).

fof(f47,axiom,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).

fof(f49,axiom,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).

fof(f51,axiom,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).

fof(f53,axiom,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).

fof(f55,axiom,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).

fof(f57,axiom,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).

fof(f59,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).

fof(f76,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => disjointwith(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just76) ).

fof(f77,axiom,
    ! [X0,X1,X2] :
      ( ( disjointwith(X0,X1)
        & genls(X2,X1) )
     => disjointwith(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just77) ).

fof(f143,axiom,
    ! [X0,X1,X2] :
      ( ( genls(X0,X1)
        & genls(X1,X2) )
     => genls(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just143) ).

fof(f171,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
   => disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query39) ).

fof(f172,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
     => disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
    inference(negated_conjecture,[status(cth)],[f171]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( disjointwith(X1,X0)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X0,X2)
      | ~ disjointwith(X0,X1)
      | ~ genls(X2,X1) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f232,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X0,X2)
      | ~ disjointwith(X0,X1)
      | ~ genls(X2,X1) ),
    inference(flattening,[],[f231]) ).

fof(f301,plain,
    ! [X0,X1,X2] :
      ( genls(X0,X2)
      | ~ genls(X0,X1)
      | ~ genls(X1,X2) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f302,plain,
    ! [X0,X1,X2] :
      ( genls(X0,X2)
      | ~ genls(X0,X1)
      | ~ genls(X1,X2) ),
    inference(flattening,[],[f301]) ).

fof(f319,plain,
    ( ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7)) ),
    inference(ennf_transformation,[],[f172]) ).

fof(f326,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(cnf_transformation,[],[f7]) ).

fof(f328,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(cnf_transformation,[],[f9]) ).

fof(f330,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(cnf_transformation,[],[f11]) ).

fof(f332,plain,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    inference(cnf_transformation,[],[f13]) ).

fof(f334,plain,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    inference(cnf_transformation,[],[f15]) ).

fof(f336,plain,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    inference(cnf_transformation,[],[f17]) ).

fof(f338,plain,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    inference(cnf_transformation,[],[f19]) ).

fof(f340,plain,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    inference(cnf_transformation,[],[f21]) ).

fof(f342,plain,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    inference(cnf_transformation,[],[f23]) ).

fof(f344,plain,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    inference(cnf_transformation,[],[f25]) ).

fof(f346,plain,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    inference(cnf_transformation,[],[f27]) ).

fof(f348,plain,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    inference(cnf_transformation,[],[f29]) ).

fof(f350,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(cnf_transformation,[],[f31]) ).

fof(f352,plain,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    inference(cnf_transformation,[],[f33]) ).

fof(f354,plain,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    inference(cnf_transformation,[],[f35]) ).

fof(f356,plain,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    inference(cnf_transformation,[],[f37]) ).

fof(f358,plain,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    inference(cnf_transformation,[],[f39]) ).

fof(f360,plain,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    inference(cnf_transformation,[],[f41]) ).

fof(f362,plain,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    inference(cnf_transformation,[],[f43]) ).

fof(f364,plain,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    inference(cnf_transformation,[],[f45]) ).

fof(f366,plain,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    inference(cnf_transformation,[],[f47]) ).

fof(f368,plain,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    inference(cnf_transformation,[],[f49]) ).

fof(f370,plain,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    inference(cnf_transformation,[],[f51]) ).

fof(f372,plain,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    inference(cnf_transformation,[],[f53]) ).

fof(f374,plain,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    inference(cnf_transformation,[],[f55]) ).

fof(f376,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    inference(cnf_transformation,[],[f57]) ).

fof(f378,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(cnf_transformation,[],[f59]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | disjointwith(X1,X0) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f394,plain,
    ! [X2,X0,X1] :
      ( ~ disjointwith(X0,X1)
      | disjointwith(X0,X2)
      | ~ genls(X2,X1) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f460,plain,
    ! [X2,X0,X1] :
      ( ~ genls(X1,X2)
      | ~ genls(X0,X1)
      | genls(X0,X2) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f478,plain,
    ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
    inference(cnf_transformation,[],[f319]) ).

fof(f560,plain,
    ! [X0] :
      ( disjointwith(c_tptpcol_1_1,X0)
      | ~ genls(X0,c_tptpcol_1_65536) ),
    inference(resolution,[],[f394,f378]) ).

fof(f563,plain,
    ! [X0] :
      ( ~ disjointwith(c_tptpcol_15_93775,X0)
      | ~ genls(c_tptpcol_13_18664,X0) ),
    inference(resolution,[],[f394,f478]) ).

fof(f569,plain,
    ! [X0] :
      ( ~ disjointwith(X0,c_tptpcol_15_93775)
      | ~ genls(c_tptpcol_13_18664,X0) ),
    inference(resolution,[],[f563,f393]) ).

fof(f585,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_1_1)
      | ~ genls(X0,c_tptpcol_2_2) ),
    inference(resolution,[],[f460,f326]) ).

fof(f586,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_3_16386)
      | genls(X0,c_tptpcol_2_2) ),
    inference(resolution,[],[f460,f328]) ).

fof(f587,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_4_16387)
      | genls(X0,c_tptpcol_3_16386) ),
    inference(resolution,[],[f460,f330]) ).

fof(f588,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_5_16388)
      | genls(X0,c_tptpcol_4_16387) ),
    inference(resolution,[],[f460,f332]) ).

fof(f597,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_1_65536)
      | ~ genls(X0,c_tptpcol_2_65537) ),
    inference(resolution,[],[f460,f350]) ).

fof(f598,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_3_81921)
      | genls(X0,c_tptpcol_2_65537) ),
    inference(resolution,[],[f460,f352]) ).

fof(f599,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_4_90113)
      | genls(X0,c_tptpcol_3_81921) ),
    inference(resolution,[],[f460,f354]) ).

fof(f600,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_5_90114)
      | genls(X0,c_tptpcol_4_90113) ),
    inference(resolution,[],[f460,f356]) ).

fof(f601,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_6_92162)
      | genls(X0,c_tptpcol_5_90114) ),
    inference(resolution,[],[f460,f358]) ).

fof(f602,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_7_93186)
      | genls(X0,c_tptpcol_6_92162) ),
    inference(resolution,[],[f460,f360]) ).

fof(f603,plain,
    ! [X0] :
      ( ~ genls(X0,c_tptpcol_8_93698)
      | genls(X0,c_tptpcol_7_93186) ),
    inference(resolution,[],[f460,f362]) ).

fof(f616,plain,
    ! [X0] :
      ( genls(c_tptpcol_7_18437,X0)
      | ~ genls(c_tptpcol_6_18436,X0) ),
    inference(resolution,[],[f460,f336]) ).

fof(f617,plain,
    ! [X0] :
      ( genls(c_tptpcol_8_18438,X0)
      | ~ genls(c_tptpcol_7_18437,X0) ),
    inference(resolution,[],[f460,f338]) ).

fof(f618,plain,
    ! [X0] :
      ( genls(c_tptpcol_9_18439,X0)
      | ~ genls(c_tptpcol_8_18438,X0) ),
    inference(resolution,[],[f460,f340]) ).

fof(f630,plain,
    ! [X0] :
      ( genls(c_tptpcol_10_93700,X0)
      | ~ genls(c_tptpcol_9_93699,X0) ),
    inference(resolution,[],[f460,f366]) ).

fof(f631,plain,
    ! [X0] :
      ( genls(c_tptpcol_11_93764,X0)
      | ~ genls(c_tptpcol_10_93700,X0) ),
    inference(resolution,[],[f460,f368]) ).

fof(f632,plain,
    ! [X0] :
      ( genls(c_tptpcol_12_93765,X0)
      | ~ genls(c_tptpcol_11_93764,X0) ),
    inference(resolution,[],[f460,f370]) ).

fof(f633,plain,
    ! [X0] :
      ( genls(c_tptpcol_13_93766,X0)
      | ~ genls(c_tptpcol_12_93765,X0) ),
    inference(resolution,[],[f460,f372]) ).

fof(f634,plain,
    ! [X0] :
      ( genls(c_tptpcol_14_93774,X0)
      | ~ genls(c_tptpcol_13_93766,X0) ),
    inference(resolution,[],[f460,f374]) ).

fof(f635,plain,
    ! [X0] :
      ( genls(c_tptpcol_15_93775,X0)
      | ~ genls(c_tptpcol_14_93774,X0) ),
    inference(resolution,[],[f460,f376]) ).

fof(f780,plain,
    ( ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536)
    | ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1) ),
    inference(resolution,[],[f560,f569]) ).

fof(f782,definition,
    ( spl0_3
  <=> genls(c_tptpcol_13_18664,c_tptpcol_1_1) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f784,plain,
    ( ~ genls(c_tptpcol_13_18664,c_tptpcol_1_1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f786,definition,
    ( spl0_4
  <=> genls(c_tptpcol_15_93775,c_tptpcol_1_65536) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ genls(c_tptpcol_15_93775,c_tptpcol_1_65536)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f780,f786,f782]) ).

fof(f790,plain,
    ( ! [X0] :
        ( ~ genls(X0,c_tptpcol_1_1)
        | ~ genls(c_tptpcol_13_18664,X0) )
    | spl0_3 ),
    inference(resolution,[],[f784,f460]) ).

fof(f800,plain,
    ( ~ genls(c_tptpcol_12_18663,c_tptpcol_1_1)
    | spl0_3 ),
    inference(resolution,[],[f790,f348]) ).

fof(f863,plain,
    ( ! [X0] :
        ( ~ genls(X0,c_tptpcol_1_1)
        | ~ genls(c_tptpcol_12_18663,X0) )
    | spl0_3 ),
    inference(resolution,[],[f800,f460]) ).

fof(f886,plain,
    ( ~ genls(c_tptpcol_11_18631,c_tptpcol_1_1)
    | spl0_3 ),
    inference(resolution,[],[f863,f346]) ).

fof(f892,plain,
    ( ! [X0] :
        ( ~ genls(X0,c_tptpcol_1_1)
        | ~ genls(c_tptpcol_11_18631,X0) )
    | spl0_3 ),
    inference(resolution,[],[f886,f460]) ).

fof(f911,plain,
    ( ~ genls(c_tptpcol_10_18567,c_tptpcol_1_1)
    | spl0_3 ),
    inference(resolution,[],[f892,f344]) ).

fof(f955,plain,
    ( ! [X0] :
        ( ~ genls(X0,c_tptpcol_1_1)
        | ~ genls(c_tptpcol_10_18567,X0) )
    | spl0_3 ),
    inference(resolution,[],[f911,f460]) ).

fof(f989,plain,
    ( ~ genls(c_tptpcol_9_18439,c_tptpcol_1_1)
    | spl0_3 ),
    inference(resolution,[],[f955,f342]) ).

fof(f994,plain,
    ( ~ genls(c_tptpcol_9_18439,c_tptpcol_2_2)
    | spl0_3 ),
    inference(resolution,[],[f989,f585]) ).

fof(f1733,plain,
    ( ~ genls(c_tptpcol_6_18436,c_tptpcol_5_16388)
    | genls(c_tptpcol_7_18437,c_tptpcol_4_16387) ),
    inference(resolution,[],[f616,f588]) ).

fof(f1870,plain,
    genls(c_tptpcol_7_18437,c_tptpcol_4_16387),
    inference(forward_subsumption_resolution,[],[f1733,f334]) ).

fof(f1878,plain,
    ( ~ genls(c_tptpcol_7_18437,c_tptpcol_4_16387)
    | genls(c_tptpcol_8_18438,c_tptpcol_3_16386) ),
    inference(resolution,[],[f617,f587]) ).

fof(f2013,plain,
    genls(c_tptpcol_8_18438,c_tptpcol_3_16386),
    inference(forward_subsumption_resolution,[],[f1878,f1870]) ).

fof(f2023,plain,
    ( ~ genls(c_tptpcol_8_18438,c_tptpcol_3_16386)
    | genls(c_tptpcol_9_18439,c_tptpcol_2_2) ),
    inference(resolution,[],[f618,f586]) ).

fof(f2152,plain,
    genls(c_tptpcol_9_18439,c_tptpcol_2_2),
    inference(forward_subsumption_resolution,[],[f2023,f2013]) ).

fof(f2158,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f2152,f994]) ).

fof(f2159,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f2158]) ).

fof(f2298,plain,
    ( ~ genls(c_tptpcol_15_93775,c_tptpcol_2_65537)
    | spl0_4 ),
    inference(resolution,[],[f788,f597]) ).

fof(f3893,plain,
    ( ~ genls(c_tptpcol_9_93699,c_tptpcol_8_93698)
    | genls(c_tptpcol_10_93700,c_tptpcol_7_93186) ),
    inference(resolution,[],[f630,f603]) ).

fof(f3930,plain,
    genls(c_tptpcol_10_93700,c_tptpcol_7_93186),
    inference(forward_subsumption_resolution,[],[f3893,f364]) ).

fof(f4039,plain,
    ( ~ genls(c_tptpcol_10_93700,c_tptpcol_7_93186)
    | genls(c_tptpcol_11_93764,c_tptpcol_6_92162) ),
    inference(resolution,[],[f631,f602]) ).

fof(f4074,plain,
    genls(c_tptpcol_11_93764,c_tptpcol_6_92162),
    inference(forward_subsumption_resolution,[],[f4039,f3930]) ).

fof(f4178,plain,
    ( ~ genls(c_tptpcol_11_93764,c_tptpcol_6_92162)
    | genls(c_tptpcol_12_93765,c_tptpcol_5_90114) ),
    inference(resolution,[],[f632,f601]) ).

fof(f4211,plain,
    genls(c_tptpcol_12_93765,c_tptpcol_5_90114),
    inference(forward_subsumption_resolution,[],[f4178,f4074]) ).

fof(f4313,plain,
    ( ~ genls(c_tptpcol_12_93765,c_tptpcol_5_90114)
    | genls(c_tptpcol_13_93766,c_tptpcol_4_90113) ),
    inference(resolution,[],[f633,f600]) ).

fof(f4344,plain,
    genls(c_tptpcol_13_93766,c_tptpcol_4_90113),
    inference(forward_subsumption_resolution,[],[f4313,f4211]) ).

fof(f4443,plain,
    ( ~ genls(c_tptpcol_13_93766,c_tptpcol_4_90113)
    | genls(c_tptpcol_14_93774,c_tptpcol_3_81921) ),
    inference(resolution,[],[f634,f599]) ).

fof(f4473,plain,
    genls(c_tptpcol_14_93774,c_tptpcol_3_81921),
    inference(forward_subsumption_resolution,[],[f4443,f4344]) ).

fof(f4573,plain,
    ( ~ genls(c_tptpcol_14_93774,c_tptpcol_3_81921)
    | genls(c_tptpcol_15_93775,c_tptpcol_2_65537) ),
    inference(resolution,[],[f635,f598]) ).

fof(f4598,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_2_65537),
    inference(forward_subsumption_resolution,[],[f4573,f4473]) ).

fof(f4677,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f4598,f2298]) ).

fof(f4678,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f4677]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s177,plain,
    spl0_3,
    inference(sat_conversion,[],[f2159]) ).

cnf(s496,plain,
    spl0_4,
    inference(sat_conversion,[],[f4678]) ).

cnf(s509,plain,
    $false,
    inference(rat,[],[s2,s496,s177]) ).

fof(f4681,plain,
    $false,
    inference(avatar_sat_refutation,[],[s509]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n009.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 22:14:45 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.32  % (3555203)Will run a generic schedule for satisfiability detection.
% 0.21/0.32  % (3555210)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3240368971:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.32  % (3555209)% WARNING: option uhcvi not known.
% 0.21/0.32  % (3555209)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=465814201:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.32  % (3555208)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3576099705_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.32  % (3555211)dis+10_1_sil=32000:sp=arity:random_seed=606542542:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.32  % (3555212)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1998969584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.32  % (3555213)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2351443276:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.32  % TRYING [1]
% 0.21/0.32  % TRYING [2]
% 0.21/0.32  % TRYING [3]
% 0.21/0.32  % (3555214)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1666600706:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.32  % TRYING [4]
% 0.21/0.32  % (3555212) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3555203-3555212"...
% 0.21/0.32  % (3555212)...printing done.
% 0.21/0.32  % (3555212)Refutation found. Thanks to Tanya!
% 0.21/0.32  % SZS status Theorem for theBenchmark
% 0.21/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.32  % (3555212)------------------------------
% 0.21/0.32  % (3555212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32  % (3555212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32  % (3555212)CaDiCaL version: 2.1.3
% 0.21/0.32  % (3555212)Termination reason: Refutation
% 0.21/0.32  % (3555212)Time elapsed: 0.043 s
% 0.21/0.32  % (3555212)Peak memory usage: 14 MB
% 0.21/0.32  % (3555212)Instructions burned: 64 (million)
% 0.21/0.32  % (3555203)Success in time 0.084 s
% 0.21/0.32  % Vampire exiting
%------------------------------------------------------------------------------