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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ160_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 12:32:37 PM UTC 2026

% Result   : Theorem 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  148 (  71 unt;   0 typ;  11 def)
%            Number of atoms       :  361 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  407 ( 194   ~; 182   |;  14   &)
%                                         (  11 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   30 (  29 usr;  12 prp; 0-3 aty)
%            Number of functors    :   34 (  34 usr;  34 con; 0-0 aty)
%            Number of variables   :  150 (   0 sgn 150   !;   0   ?; 150   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    geographicalRegion: $tType ).

tff(type_def_6,type,
    event: $tType ).

tff(type_def_7,type,
    constrCont: $tType ).

tff(type_def_8,type,
    govt: $tType ).

tff(type_def_9,type,
    person: $tType ).

tff(type_def_10,type,
    table_side: $tType ).

tff(type_def_11,type,
    table: $tType ).

tff(func_def_0,type,
    rethondesCompiegne: geographicalRegion ).

tff(func_def_1,type,
    picardy: geographicalRegion ).

tff(func_def_2,type,
    hautsDeFrance: geographicalRegion ).

tff(func_def_3,type,
    france: geographicalRegion ).

tff(func_def_4,type,
    germania: constrCont ).

tff(func_def_5,type,
    marianne: constrCont ).

tff(func_def_6,type,
    germanEmpire: govt ).

tff(func_def_7,type,
    weimarRepublic: govt ).

tff(func_def_8,type,
    thirdReich: govt ).

tff(func_def_9,type,
    alliedOccupiedGermany: govt ).

tff(func_def_10,type,
    federalGermanRepublic: govt ).

tff(func_def_11,type,
    empireOfNapoleonIII: govt ).

tff(func_def_12,type,
    thirdRepublicFrench: govt ).

tff(func_def_13,type,
    fourthRepublicFrench: govt ).

tff(func_def_14,type,
    fifthRepublicFrench: govt ).

tff(func_def_15,type,
    cwlTable2419d: table ).

tff(func_def_16,type,
    cwlTable2439d: table ).

tff(func_def_17,type,
    cwlTableSideA: table_side ).

tff(func_def_18,type,
    cwlTableSideB: table_side ).

tff(func_def_19,type,
    cwlTableSideC: table_side ).

tff(func_def_20,type,
    cwlTableSideD: table_side ).

tff(func_def_21,type,
    foch: person ).

tff(func_def_22,type,
    erzberger: person ).

tff(func_def_23,type,
    armistice1918: event ).

tff(func_def_24,type,
    armistice1918AlliedSeating: event ).

tff(func_def_25,type,
    armistice1918GermanSeating: event ).

tff(func_def_26,type,
    hitler: person ).

tff(func_def_27,type,
    hutzinger: person ).

tff(func_def_28,type,
    armistice1940: event ).

tff(func_def_29,type,
    armistice1940GermanSeating: event ).

tff(func_def_30,type,
    armistice1940FrenchSeating: event ).

tff(func_def_31,type,
    merkel: person ).

tff(func_def_32,type,
    macron: person ).

tff(func_def_33,type,
    compiegneVisit2018: event ).

tff(pred_def_1,type,
    diplomaticEvent: event > $o ).

tff(pred_def_2,type,
    seatingEvent: event > $o ).

tff(pred_def_3,type,
    subEvents: ( event * event ) > $o ).

tff(pred_def_4,type,
    endsBeforeStartOf: ( event * event ) > $o ).

tff(pred_def_5,type,
    contentiousEvent: event > $o ).

tff(pred_def_6,type,
    friendlyEvent: event > $o ).

tff(pred_def_7,type,
    armistice: event > $o ).

tff(pred_def_8,type,
    eventOccursAt: ( event * geographicalRegion ) > $o ).

tff(pred_def_9,type,
    subRegions: ( geographicalRegion * geographicalRegion ) > $o ).

tff(pred_def_10,type,
    narrativeSuccessor: ( constrCont * govt * govt ) > $o ).

tff(pred_def_11,type,
    performedBy: ( event * person ) > $o ).

tff(pred_def_12,type,
    govtRepresentedBy: ( event * govt * person ) > $o ).

tff(pred_def_13,type,
    dictatedBy: ( event * govt ) > $o ).

tff(pred_def_14,type,
    dictatedTo: ( event * govt ) > $o ).

tff(pred_def_15,type,
    tableUsed: ( event * table ) > $o ).

tff(pred_def_16,type,
    seatedAtSide: ( event * table_side ) > $o ).

tff(pred_def_17,type,
    avoidTableSide: ( person * event * table_side ) > $o ).

tff(pred_def_18,type,
    pastColocatedDiplomaticEvent: ( event * event ) > $o ).

tff(f1,axiom,
    ! [X0: event,X1: event,X2: event] :
      ( ( endsBeforeStartOf(X0,X1)
        & endsBeforeStartOf(X1,X2) )
     => endsBeforeStartOf(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',endsBeforeStartOf_trans) ).

tff(f4,axiom,
    ! [X0: event] :
      ( armistice(X0)
     => contentiousEvent(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armisticesAreContentious) ).

tff(f5,axiom,
    ! [X0: event] :
      ( armistice(X0)
     => diplomaticEvent(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armisticesAreDiplomatic) ).

tff(f11,axiom,
    ! [X0: constrCont,X1: govt,X2: govt,X3: govt] :
      ( ( narrativeSuccessor(X0,X1,X3)
        & narrativeSuccessor(X0,X3,X2) )
     => narrativeSuccessor(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',narrativeSuccessor_ax) ).

tff(f12,axiom,
    narrativeSuccessor(germania,germanEmpire,weimarRepublic),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',germania_01) ).

tff(f13,axiom,
    narrativeSuccessor(germania,weimarRepublic,thirdReich),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',germania_02) ).

tff(f14,axiom,
    narrativeSuccessor(germania,thirdReich,alliedOccupiedGermany),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',germania_03) ).

tff(f15,axiom,
    narrativeSuccessor(germania,alliedOccupiedGermany,federalGermanRepublic),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',germania_04) ).

tff(f19,axiom,
    armistice(armistice1918),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1918_typing) ).

tff(f20,axiom,
    eventOccursAt(armistice1918,rethondesCompiegne),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1918_where) ).

tff(f22,axiom,
    govtRepresentedBy(armistice1918,germanEmpire,erzberger),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1918_german) ).

tff(f28,axiom,
    seatingEvent(armistice1918GermanSeating),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1918_GS_ax0) ).

tff(f29,axiom,
    subEvents(armistice1918,armistice1918GermanSeating),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1918_GS_ax1) ).

tff(f30,axiom,
    performedBy(armistice1918GermanSeating,erzberger),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1918_GS_ax2) ).

tff(f31,axiom,
    seatedAtSide(armistice1918GermanSeating,cwlTableSideC),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1918_GS_ax3) ).

tff(f37,axiom,
    endsBeforeStartOf(armistice1918,armistice1940),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice1940_past1918) ).

tff(f48,axiom,
    eventOccursAt(compiegneVisit2018,rethondesCompiegne),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compiegneVisit2018_where) ).

tff(f50,axiom,
    friendlyEvent(compiegneVisit2018),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compiegneVisit2018_friendly) ).

tff(f51,axiom,
    govtRepresentedBy(compiegneVisit2018,federalGermanRepublic,merkel),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compiegneVisit2018_merkel) ).

tff(f53,axiom,
    endsBeforeStartOf(armistice1940,compiegneVisit2018),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',armistice2018_past1940) ).

tff(f54,axiom,
    ! [X0: event,X1: event,X2: geographicalRegion] :
      ( ( diplomaticEvent(X0)
        & eventOccursAt(X0,X2)
        & eventOccursAt(X1,X2)
        & endsBeforeStartOf(X0,X1) )
     => pastColocatedDiplomaticEvent(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pastColocatedDiplomaticEvent_rule) ).

tff(f55,axiom,
    ! [X0: person,X1: person,X2: govt,X3: govt,X4: constrCont,X5: event,X6: event,X7: event,X8: table_side] :
      ( ( pastColocatedDiplomaticEvent(X5,X6)
        & contentiousEvent(X6)
        & subEvents(X6,X7)
        & seatingEvent(X7)
        & performedBy(X7,X1)
        & seatedAtSide(X7,X8)
        & govtRepresentedBy(X6,X2,X1)
        & narrativeSuccessor(X4,X2,X3)
        & friendlyEvent(X5)
        & govtRepresentedBy(X5,X3,X0) )
     => avoidTableSide(X0,X5,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dontSitWherePastConflictSat) ).

tff(f56,conjecture,
    avoidTableSide(merkel,compiegneVisit2018,cwlTableSideC),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',whereShouldMerkelSit) ).

tff(f57,negated_conjecture,
    ~ avoidTableSide(merkel,compiegneVisit2018,cwlTableSideC),
    inference(negated_conjecture,[status(cth)],[f56]) ).

tff(f58,plain,
    ~ avoidTableSide(merkel,compiegneVisit2018,cwlTableSideC),
    inference(flattening,[],[f57]) ).

tff(f63,plain,
    ! [X0: event,X1: event,X2: event] :
      ( endsBeforeStartOf(X0,X2)
      | ~ endsBeforeStartOf(X0,X1)
      | ~ endsBeforeStartOf(X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f64,plain,
    ! [X0: event,X1: event,X2: event] :
      ( endsBeforeStartOf(X0,X2)
      | ~ endsBeforeStartOf(X0,X1)
      | ~ endsBeforeStartOf(X1,X2) ),
    inference(flattening,[],[f63]) ).

tff(f67,plain,
    ! [X0: event] :
      ( contentiousEvent(X0)
      | ~ armistice(X0) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f68,plain,
    ! [X0: event] :
      ( diplomaticEvent(X0)
      | ~ armistice(X0) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f73,plain,
    ! [X0: constrCont,X1: govt,X2: govt,X3: govt] :
      ( narrativeSuccessor(X0,X1,X2)
      | ~ narrativeSuccessor(X0,X1,X3)
      | ~ narrativeSuccessor(X0,X3,X2) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f74,plain,
    ! [X0: constrCont,X1: govt,X2: govt,X3: govt] :
      ( narrativeSuccessor(X0,X1,X2)
      | ~ narrativeSuccessor(X0,X1,X3)
      | ~ narrativeSuccessor(X0,X3,X2) ),
    inference(flattening,[],[f73]) ).

tff(f75,plain,
    ! [X0: event,X1: event,X2: geographicalRegion] :
      ( pastColocatedDiplomaticEvent(X1,X0)
      | ~ diplomaticEvent(X0)
      | ~ eventOccursAt(X0,X2)
      | ~ eventOccursAt(X1,X2)
      | ~ endsBeforeStartOf(X0,X1) ),
    inference(ennf_transformation,[],[f54]) ).

tff(f76,plain,
    ! [X0: event,X1: event,X2: geographicalRegion] :
      ( pastColocatedDiplomaticEvent(X1,X0)
      | ~ diplomaticEvent(X0)
      | ~ eventOccursAt(X0,X2)
      | ~ eventOccursAt(X1,X2)
      | ~ endsBeforeStartOf(X0,X1) ),
    inference(flattening,[],[f75]) ).

tff(f77,plain,
    ! [X0: person,X1: person,X2: govt,X3: govt,X4: constrCont,X5: event,X6: event,X7: event,X8: table_side] :
      ( avoidTableSide(X0,X5,X8)
      | ~ pastColocatedDiplomaticEvent(X5,X6)
      | ~ contentiousEvent(X6)
      | ~ subEvents(X6,X7)
      | ~ seatingEvent(X7)
      | ~ performedBy(X7,X1)
      | ~ seatedAtSide(X7,X8)
      | ~ govtRepresentedBy(X6,X2,X1)
      | ~ narrativeSuccessor(X4,X2,X3)
      | ~ friendlyEvent(X5)
      | ~ govtRepresentedBy(X5,X3,X0) ),
    inference(ennf_transformation,[],[f55]) ).

tff(f78,plain,
    ! [X0: person,X1: person,X2: govt,X3: govt,X4: constrCont,X5: event,X6: event,X7: event,X8: table_side] :
      ( avoidTableSide(X0,X5,X8)
      | ~ pastColocatedDiplomaticEvent(X5,X6)
      | ~ contentiousEvent(X6)
      | ~ subEvents(X6,X7)
      | ~ seatingEvent(X7)
      | ~ performedBy(X7,X1)
      | ~ seatedAtSide(X7,X8)
      | ~ govtRepresentedBy(X6,X2,X1)
      | ~ narrativeSuccessor(X4,X2,X3)
      | ~ friendlyEvent(X5)
      | ~ govtRepresentedBy(X5,X3,X0) ),
    inference(flattening,[],[f77]) ).

tff(f79,plain,
    ! [X2: event,X0: event,X1: event] :
      ( endsBeforeStartOf(X0,X2)
      | ~ endsBeforeStartOf(X0,X1)
      | ~ endsBeforeStartOf(X1,X2) ),
    inference(cnf_transformation,[],[f64]) ).

tff(f82,plain,
    ! [X0: event] :
      ( ~ armistice(X0)
      | contentiousEvent(X0) ),
    inference(cnf_transformation,[],[f67]) ).

tff(f83,plain,
    ! [X0: event] :
      ( diplomaticEvent(X0)
      | ~ armistice(X0) ),
    inference(cnf_transformation,[],[f68]) ).

tff(f89,plain,
    ! [X2: govt,X3: govt,X0: constrCont,X1: govt] :
      ( narrativeSuccessor(X0,X1,X2)
      | ~ narrativeSuccessor(X0,X1,X3)
      | ~ narrativeSuccessor(X0,X3,X2) ),
    inference(cnf_transformation,[],[f74]) ).

tff(f90,plain,
    narrativeSuccessor(germania,germanEmpire,weimarRepublic),
    inference(cnf_transformation,[],[f12]) ).

tff(f91,plain,
    narrativeSuccessor(germania,weimarRepublic,thirdReich),
    inference(cnf_transformation,[],[f13]) ).

tff(f92,plain,
    narrativeSuccessor(germania,thirdReich,alliedOccupiedGermany),
    inference(cnf_transformation,[],[f14]) ).

tff(f93,plain,
    narrativeSuccessor(germania,alliedOccupiedGermany,federalGermanRepublic),
    inference(cnf_transformation,[],[f15]) ).

tff(f97,plain,
    armistice(armistice1918),
    inference(cnf_transformation,[],[f19]) ).

tff(f98,plain,
    eventOccursAt(armistice1918,rethondesCompiegne),
    inference(cnf_transformation,[],[f20]) ).

tff(f100,plain,
    govtRepresentedBy(armistice1918,germanEmpire,erzberger),
    inference(cnf_transformation,[],[f22]) ).

tff(f105,plain,
    seatingEvent(armistice1918GermanSeating),
    inference(cnf_transformation,[],[f28]) ).

tff(f106,plain,
    subEvents(armistice1918,armistice1918GermanSeating),
    inference(cnf_transformation,[],[f29]) ).

tff(f107,plain,
    performedBy(armistice1918GermanSeating,erzberger),
    inference(cnf_transformation,[],[f30]) ).

tff(f108,plain,
    seatedAtSide(armistice1918GermanSeating,cwlTableSideC),
    inference(cnf_transformation,[],[f31]) ).

tff(f113,plain,
    endsBeforeStartOf(armistice1918,armistice1940),
    inference(cnf_transformation,[],[f37]) ).

tff(f122,plain,
    eventOccursAt(compiegneVisit2018,rethondesCompiegne),
    inference(cnf_transformation,[],[f48]) ).

tff(f124,plain,
    friendlyEvent(compiegneVisit2018),
    inference(cnf_transformation,[],[f50]) ).

tff(f125,plain,
    govtRepresentedBy(compiegneVisit2018,federalGermanRepublic,merkel),
    inference(cnf_transformation,[],[f51]) ).

tff(f127,plain,
    endsBeforeStartOf(armistice1940,compiegneVisit2018),
    inference(cnf_transformation,[],[f53]) ).

tff(f128,plain,
    ! [X2: geographicalRegion,X0: event,X1: event] :
      ( pastColocatedDiplomaticEvent(X1,X0)
      | ~ diplomaticEvent(X0)
      | ~ eventOccursAt(X0,X2)
      | ~ eventOccursAt(X1,X2)
      | ~ endsBeforeStartOf(X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

tff(f129,plain,
    ! [X2: govt,X3: govt,X0: person,X1: person,X8: table_side,X6: event,X7: event,X4: constrCont,X5: event] :
      ( avoidTableSide(X0,X5,X8)
      | ~ pastColocatedDiplomaticEvent(X5,X6)
      | ~ contentiousEvent(X6)
      | ~ subEvents(X6,X7)
      | ~ seatingEvent(X7)
      | ~ performedBy(X7,X1)
      | ~ seatedAtSide(X7,X8)
      | ~ govtRepresentedBy(X6,X2,X1)
      | ~ narrativeSuccessor(X4,X2,X3)
      | ~ friendlyEvent(X5)
      | ~ govtRepresentedBy(X5,X3,X0) ),
    inference(cnf_transformation,[],[f78]) ).

tff(f130,plain,
    ~ avoidTableSide(merkel,compiegneVisit2018,cwlTableSideC),
    inference(cnf_transformation,[],[f58]) ).

tff(f131,plain,
    ! [X2: event,X0: event,X1: event] :
      ( endsBeforeStartOf(X1,X2)
      | endsBeforeStartOf(X0,X1)
      | ~ endsBeforeStartOf(X0,X2) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

tff(f132,plain,
    ! [X0: event] :
      ( ~ armistice(X0)
      | ~ diplomaticEvent(X0) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

tff(f133,plain,
    ! [X2: govt,X3: govt,X0: constrCont,X1: govt] :
      ( narrativeSuccessor(X0,X3,X2)
      | narrativeSuccessor(X0,X1,X3)
      | ~ narrativeSuccessor(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f89]) ).

tff(f134,plain,
    ~ narrativeSuccessor(germania,germanEmpire,weimarRepublic),
    inference(consistent_polarity_flipping,[],[f90]) ).

tff(f135,plain,
    ~ narrativeSuccessor(germania,weimarRepublic,thirdReich),
    inference(consistent_polarity_flipping,[],[f91]) ).

tff(f136,plain,
    ~ narrativeSuccessor(germania,thirdReich,alliedOccupiedGermany),
    inference(consistent_polarity_flipping,[],[f92]) ).

tff(f137,plain,
    ~ narrativeSuccessor(germania,alliedOccupiedGermany,federalGermanRepublic),
    inference(consistent_polarity_flipping,[],[f93]) ).

tff(f142,plain,
    ~ performedBy(armistice1918GermanSeating,erzberger),
    inference(consistent_polarity_flipping,[],[f107]) ).

tff(f143,plain,
    ~ endsBeforeStartOf(armistice1918,armistice1940),
    inference(consistent_polarity_flipping,[],[f113]) ).

tff(f147,plain,
    ~ endsBeforeStartOf(armistice1940,compiegneVisit2018),
    inference(consistent_polarity_flipping,[],[f127]) ).

tff(f148,plain,
    ! [X2: geographicalRegion,X0: event,X1: event] :
      ( diplomaticEvent(X0)
      | pastColocatedDiplomaticEvent(X1,X0)
      | ~ eventOccursAt(X0,X2)
      | ~ eventOccursAt(X1,X2)
      | endsBeforeStartOf(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

tff(f149,plain,
    ! [X2: govt,X3: govt,X0: person,X1: person,X8: table_side,X6: event,X7: event,X4: constrCont,X5: event] :
      ( performedBy(X7,X1)
      | ~ pastColocatedDiplomaticEvent(X5,X6)
      | ~ contentiousEvent(X6)
      | ~ subEvents(X6,X7)
      | ~ seatingEvent(X7)
      | ~ avoidTableSide(X0,X5,X8)
      | ~ seatedAtSide(X7,X8)
      | ~ govtRepresentedBy(X6,X2,X1)
      | narrativeSuccessor(X4,X2,X3)
      | ~ friendlyEvent(X5)
      | ~ govtRepresentedBy(X5,X3,X0) ),
    inference(consistent_polarity_flipping,[],[f129]) ).

tff(f150,plain,
    avoidTableSide(merkel,compiegneVisit2018,cwlTableSideC),
    inference(consistent_polarity_flipping,[],[f130]) ).

tff(f152,plain,
    contentiousEvent(armistice1918),
    inference(resolution,[],[f82,f97]) ).

tff(f154,plain,
    ~ diplomaticEvent(armistice1918),
    inference(resolution,[],[f132,f97]) ).

tff(f161,plain,
    ! [X0: event] :
      ( endsBeforeStartOf(X0,armistice1940)
      | ~ endsBeforeStartOf(X0,compiegneVisit2018) ),
    inference(resolution,[],[f131,f147]) ).

tff(f162,plain,
    ~ endsBeforeStartOf(armistice1918,compiegneVisit2018),
    inference(resolution,[],[f161,f143]) ).

tff(f165,plain,
    ! [X0: govt] :
      ( narrativeSuccessor(germania,X0,weimarRepublic)
      | ~ narrativeSuccessor(germania,X0,thirdReich) ),
    inference(resolution,[],[f133,f135]) ).

tff(f166,plain,
    ! [X0: govt] :
      ( narrativeSuccessor(germania,X0,thirdReich)
      | ~ narrativeSuccessor(germania,X0,alliedOccupiedGermany) ),
    inference(resolution,[],[f133,f136]) ).

tff(f167,plain,
    ! [X0: govt] :
      ( narrativeSuccessor(germania,X0,alliedOccupiedGermany)
      | ~ narrativeSuccessor(germania,X0,federalGermanRepublic) ),
    inference(resolution,[],[f133,f137]) ).

tff(f171,plain,
    ~ narrativeSuccessor(germania,germanEmpire,thirdReich),
    inference(resolution,[],[f165,f134]) ).

tff(f173,plain,
    ~ narrativeSuccessor(germania,germanEmpire,alliedOccupiedGermany),
    inference(resolution,[],[f166,f171]) ).

tff(f177,plain,
    ~ narrativeSuccessor(germania,germanEmpire,federalGermanRepublic),
    inference(resolution,[],[f167,f173]) ).

tff(f182,plain,
    ! [X0: event,X1: geographicalRegion] :
      ( pastColocatedDiplomaticEvent(X0,armistice1918)
      | ~ eventOccursAt(armistice1918,X1)
      | ~ eventOccursAt(X0,X1)
      | endsBeforeStartOf(armistice1918,X0) ),
    inference(resolution,[],[f148,f154]) ).

tff(f198,plain,
    ! [X2: person,X3: table_side,X0: event,X1: event,X6: govt,X4: govt,X5: constrCont] :
      ( ~ pastColocatedDiplomaticEvent(X0,X1)
      | ~ contentiousEvent(X1)
      | ~ subEvents(X1,armistice1918GermanSeating)
      | ~ seatingEvent(armistice1918GermanSeating)
      | ~ avoidTableSide(X2,X0,X3)
      | ~ seatedAtSide(armistice1918GermanSeating,X3)
      | ~ govtRepresentedBy(X1,X4,erzberger)
      | narrativeSuccessor(X5,X4,X6)
      | ~ friendlyEvent(X0)
      | ~ govtRepresentedBy(X0,X6,X2) ),
    inference(resolution,[],[f149,f142]) ).

tff(f218,definition,
    ( spl0_5
  <=> seatingEvent(armistice1918GermanSeating) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

tff(f220,plain,
    ( ~ seatingEvent(armistice1918GermanSeating)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f218]) ).

tff(f222,definition,
    ( spl0_6
  <=> ! [X5: constrCont,X3: table_side,X4: govt,X0: event,X6: govt,X2: person,X1: event] :
        ( ~ pastColocatedDiplomaticEvent(X0,X1)
        | ~ govtRepresentedBy(X0,X6,X2)
        | ~ friendlyEvent(X0)
        | narrativeSuccessor(X5,X4,X6)
        | ~ govtRepresentedBy(X1,X4,erzberger)
        | ~ seatedAtSide(armistice1918GermanSeating,X3)
        | ~ avoidTableSide(X2,X0,X3)
        | ~ subEvents(X1,armistice1918GermanSeating)
        | ~ contentiousEvent(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

tff(f223,plain,
    ( ! [X2: person,X3: table_side,X0: event,X1: event,X6: govt,X4: govt,X5: constrCont] :
        ( ~ avoidTableSide(X2,X0,X3)
        | ~ govtRepresentedBy(X0,X6,X2)
        | ~ friendlyEvent(X0)
        | narrativeSuccessor(X5,X4,X6)
        | ~ govtRepresentedBy(X1,X4,erzberger)
        | ~ seatedAtSide(armistice1918GermanSeating,X3)
        | ~ pastColocatedDiplomaticEvent(X0,X1)
        | ~ subEvents(X1,armistice1918GermanSeating)
        | ~ contentiousEvent(X1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f222]) ).

tff(f224,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f198,f222,f218]) ).

tff(f237,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f220,f105]) ).

tff(f238,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f237]) ).

tff(f266,definition,
    ( spl0_10
  <=> friendlyEvent(compiegneVisit2018) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

tff(f268,plain,
    ( ~ friendlyEvent(compiegneVisit2018)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f266]) ).

tff(f273,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f268,f124]) ).

tff(f274,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f273]) ).

tff(f400,plain,
    ( ! [X2: govt,X3: event,X0: govt,X1: constrCont] :
        ( ~ govtRepresentedBy(compiegneVisit2018,X0,merkel)
        | ~ friendlyEvent(compiegneVisit2018)
        | narrativeSuccessor(X1,X2,X0)
        | ~ govtRepresentedBy(X3,X2,erzberger)
        | ~ seatedAtSide(armistice1918GermanSeating,cwlTableSideC)
        | ~ pastColocatedDiplomaticEvent(compiegneVisit2018,X3)
        | ~ subEvents(X3,armistice1918GermanSeating)
        | ~ contentiousEvent(X3) )
    | ~ spl0_6 ),
    inference(resolution,[],[f223,f150]) ).

tff(f402,definition,
    ( spl0_28
  <=> seatedAtSide(armistice1918GermanSeating,cwlTableSideC) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

tff(f404,plain,
    ( ~ seatedAtSide(armistice1918GermanSeating,cwlTableSideC)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f402]) ).

tff(f406,definition,
    ( spl0_29
  <=> ! [X2: govt,X0: govt,X1: constrCont,X3: event] :
        ( ~ govtRepresentedBy(compiegneVisit2018,X0,merkel)
        | ~ contentiousEvent(X3)
        | ~ subEvents(X3,armistice1918GermanSeating)
        | ~ pastColocatedDiplomaticEvent(compiegneVisit2018,X3)
        | ~ govtRepresentedBy(X3,X2,erzberger)
        | narrativeSuccessor(X1,X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

tff(f407,plain,
    ( ! [X2: govt,X3: event,X0: govt,X1: constrCont] :
        ( ~ govtRepresentedBy(compiegneVisit2018,X0,merkel)
        | ~ govtRepresentedBy(X3,X2,erzberger)
        | ~ subEvents(X3,armistice1918GermanSeating)
        | ~ pastColocatedDiplomaticEvent(compiegneVisit2018,X3)
        | ~ contentiousEvent(X3)
        | narrativeSuccessor(X1,X2,X0) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f406]) ).

tff(f408,plain,
    ( ~ spl0_28
    | ~ spl0_10
    | spl0_29
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f400,f222,f406,f266,f402]) ).

tff(f409,plain,
    ( $false
    | spl0_28 ),
    inference(resolution,[],[f404,f108]) ).

tff(f410,plain,
    spl0_28,
    inference(avatar_contradiction_clause,[],[f409]) ).

tff(f411,plain,
    ( ! [X2: constrCont,X0: event,X1: govt] :
        ( ~ govtRepresentedBy(X0,X1,erzberger)
        | ~ subEvents(X0,armistice1918GermanSeating)
        | ~ pastColocatedDiplomaticEvent(compiegneVisit2018,X0)
        | ~ contentiousEvent(X0)
        | narrativeSuccessor(X2,X1,federalGermanRepublic) )
    | ~ spl0_29 ),
    inference(resolution,[],[f407,f125]) ).

tff(f412,plain,
    ( ! [X0: constrCont] :
        ( ~ subEvents(armistice1918,armistice1918GermanSeating)
        | ~ pastColocatedDiplomaticEvent(compiegneVisit2018,armistice1918)
        | ~ contentiousEvent(armistice1918)
        | narrativeSuccessor(X0,germanEmpire,federalGermanRepublic) )
    | ~ spl0_29 ),
    inference(resolution,[],[f411,f100]) ).

tff(f414,definition,
    ( spl0_30
  <=> ! [X0: constrCont] : narrativeSuccessor(X0,germanEmpire,federalGermanRepublic) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

tff(f415,plain,
    ( ! [X0: constrCont] : narrativeSuccessor(X0,germanEmpire,federalGermanRepublic)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f414]) ).

tff(f417,definition,
    ( spl0_31
  <=> contentiousEvent(armistice1918) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

tff(f419,plain,
    ( ~ contentiousEvent(armistice1918)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f417]) ).

tff(f421,definition,
    ( spl0_32
  <=> pastColocatedDiplomaticEvent(compiegneVisit2018,armistice1918) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

tff(f423,plain,
    ( ~ pastColocatedDiplomaticEvent(compiegneVisit2018,armistice1918)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f421]) ).

tff(f425,definition,
    ( spl0_33
  <=> subEvents(armistice1918,armistice1918GermanSeating) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

tff(f427,plain,
    ( ~ subEvents(armistice1918,armistice1918GermanSeating)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f425]) ).

tff(f428,plain,
    ( spl0_30
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_33
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f412,f406,f425,f421,f417,f414]) ).

tff(f429,plain,
    ( $false
    | spl0_31 ),
    inference(resolution,[],[f419,f152]) ).

tff(f430,plain,
    spl0_31,
    inference(avatar_contradiction_clause,[],[f429]) ).

tff(f431,plain,
    ( ! [X0: geographicalRegion] :
        ( ~ eventOccursAt(armistice1918,X0)
        | ~ eventOccursAt(compiegneVisit2018,X0)
        | endsBeforeStartOf(armistice1918,compiegneVisit2018) )
    | spl0_32 ),
    inference(resolution,[],[f423,f182]) ).

tff(f433,definition,
    ( spl0_34
  <=> endsBeforeStartOf(armistice1918,compiegneVisit2018) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

tff(f435,plain,
    ( endsBeforeStartOf(armistice1918,compiegneVisit2018)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f433]) ).

tff(f437,definition,
    ( spl0_35
  <=> ! [X0: geographicalRegion] :
        ( ~ eventOccursAt(armistice1918,X0)
        | ~ eventOccursAt(compiegneVisit2018,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

tff(f438,plain,
    ( ! [X0: geographicalRegion] :
        ( ~ eventOccursAt(compiegneVisit2018,X0)
        | ~ eventOccursAt(armistice1918,X0) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f437]) ).

tff(f439,plain,
    ( spl0_34
    | spl0_35
    | spl0_32 ),
    inference(avatar_split_clause,[],[f431,f421,f437,f433]) ).

tff(f440,plain,
    ( $false
    | spl0_33 ),
    inference(resolution,[],[f427,f106]) ).

tff(f441,plain,
    spl0_33,
    inference(avatar_contradiction_clause,[],[f440]) ).

tff(f442,plain,
    ( $false
    | ~ spl0_30 ),
    inference(resolution,[],[f415,f177]) ).

tff(f443,plain,
    ~ spl0_30,
    inference(avatar_contradiction_clause,[],[f442]) ).

tff(f445,plain,
    ( $false
    | ~ spl0_34 ),
    inference(resolution,[],[f435,f162]) ).

tff(f446,plain,
    ~ spl0_34,
    inference(avatar_contradiction_clause,[],[f445]) ).

tff(f447,plain,
    ( ~ eventOccursAt(armistice1918,rethondesCompiegne)
    | ~ spl0_35 ),
    inference(resolution,[],[f438,f122]) ).

tff(f476,plain,
    ( $false
    | ~ spl0_35 ),
    inference(resolution,[],[f447,f98]) ).

tff(f477,plain,
    ~ spl0_35,
    inference(avatar_contradiction_clause,[],[f476]) ).

cnf(s3,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s7,plain,
    spl0_5,
    inference(sat_conversion,[],[f238]) ).

cnf(s10,plain,
    spl0_10,
    inference(sat_conversion,[],[f274]) ).

cnf(s32,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s33,plain,
    spl0_28,
    inference(sat_conversion,[],[f410]) ).

cnf(s34,plain,
    ( ~ spl0_29
    | spl0_30
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s35,plain,
    spl0_31,
    inference(sat_conversion,[],[f430]) ).

cnf(s36,plain,
    ( spl0_32
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s37,plain,
    spl0_33,
    inference(sat_conversion,[],[f441]) ).

cnf(s38,plain,
    ~ spl0_30,
    inference(sat_conversion,[],[f443]) ).

cnf(s39,plain,
    ~ spl0_34,
    inference(sat_conversion,[],[f446]) ).

cnf(s48,plain,
    ~ spl0_35,
    inference(sat_conversion,[],[f477]) ).

cnf(s49,plain,
    spl0_32,
    inference(rat,[],[s36,s48,s39]) ).

cnf(s50,plain,
    ~ spl0_29,
    inference(rat,[],[s34,s37,s49,s35,s38]) ).

cnf(s51,plain,
    ( ~ spl0_6
    | ~ spl0_10 ),
    inference(rat,[],[s32,s50,s33]) ).

cnf(s58,plain,
    ~ spl0_6,
    inference(rat,[],[s51,s10]) ).

cnf(s61,plain,
    $false,
    inference(rat,[],[s3,s58,s7]) ).

tff(f478,plain,
    $false,
    inference(avatar_sat_refutation,[],[s61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ160_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n001.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 22:52:41 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  % (4047496)Will run a generic schedule for satisfiability detection.
% 0.18/0.46  % (4047514)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=505850341:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46  % (4047509)% WARNING: option uhcvi not known.
% 0.18/0.46  % (4047514) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4047496-4047514"...
% 0.18/0.46  % (4047514)...printing done.
% 0.18/0.46  % (4047510)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=126464552:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46  % (4047509)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=83202283:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.46  % (4047511)dis+10_1_sil=32000:sp=arity:random_seed=856147353:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46  % (4047508)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4061252953_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.46  % (4047514)Refutation found. Thanks to Tanya!
% 0.18/0.46  % SZS status Theorem for theBenchmark
% 0.18/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (4047514)------------------------------
% 0.18/0.47  % (4047514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47  % (4047514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47  % (4047514)CaDiCaL version: 2.1.3
% 0.18/0.47  % (4047514)Termination reason: Refutation
% 0.18/0.47  % (4047514)Time elapsed: 0.005 s
% 0.18/0.47  % (4047514)Peak memory usage: 12 MB
% 0.18/0.47  % (4047514)Instructions burned: 10 (million)
% 0.18/0.47  % (4047496)Success in time 0.034 s
% 0.18/0.47  % Vampire exiting
%------------------------------------------------------------------------------