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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO010+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 12:30:36 PM UTC 2026

% Result   : Theorem 0.24s 0.46s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   89 (  13 unt;   4 def)
%            Number of atoms       :  252 (   8 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  247 (  84   ~;  92   |;  53   &)
%                                         (   6 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-1 aty)
%            Number of variables   :  122 (   0 sgn 100   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X1)
        & occurrence_of(X0,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(f9,axiom,
    ! [X0] :
      ( legal(X0)
     => arboreal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( legal(X0)
        & earlier(X1,X0) )
     => legal(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( precedes(X0,X1)
    <=> ( earlier(X0,X1)
        & legal(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
     => precedes(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).

fof(f36,axiom,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & leaf_occ(X3,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(f38,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).

fof(f48,axiom,
    tptp1 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).

fof(f49,conjecture,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp1)
           => ~ ? [X3] :
                  ( occurrence_of(X3,tptp2)
                  & min_precedes(X1,X3,tptp0) ) )
          & ( occurrence_of(X2,tptp2)
           => ~ ? [X4] :
                  ( occurrence_of(X4,tptp1)
                  & min_precedes(X1,X4,tptp0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f50,negated_conjecture,
    ~ ! [X0] :
        ( occurrence_of(X0,tptp0)
       => ? [X1,X2] :
            ( leaf_occ(X2,X0)
            & ( occurrence_of(X2,tptp1)
             => ~ ? [X3] :
                    ( occurrence_of(X3,tptp2)
                    & min_precedes(X1,X3,tptp0) ) )
            & ( occurrence_of(X2,tptp2)
             => ~ ? [X4] :
                    ( occurrence_of(X4,tptp1)
                    & min_precedes(X1,X4,tptp0) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f49]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f55]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f64,plain,
    ! [X0] :
      ( arboreal(X0)
      | ~ legal(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( legal(X1)
      | ~ legal(X0)
      | ~ earlier(X1,X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( legal(X1)
      | ~ legal(X0)
      | ~ earlier(X1,X0) ),
    inference(flattening,[],[f65]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( precedes(X0,X1)
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f99,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & leaf_occ(X3,X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f100,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ~ leaf_occ(X2,X0)
          | ( ? [X3] :
                ( occurrence_of(X3,tptp2)
                & min_precedes(X1,X3,tptp0) )
            & occurrence_of(X2,tptp1) )
          | ( ? [X4] :
                ( occurrence_of(X4,tptp1)
                & min_precedes(X1,X4,tptp0) )
            & occurrence_of(X2,tptp2) ) )
      & occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f101,definition,
    ! [X1,X2] :
      ( ( ? [X4] :
            ( occurrence_of(X4,tptp1)
            & min_precedes(X1,X4,tptp0) )
        & occurrence_of(X2,tptp2) )
      | ~ sP0(X1,X2) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f102,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ~ leaf_occ(X2,X0)
          | ( ? [X3] :
                ( occurrence_of(X3,tptp2)
                & min_precedes(X1,X3,tptp0) )
            & occurrence_of(X2,tptp1) )
          | sP0(X1,X2) )
      & occurrence_of(X0,tptp0) ),
    inference(definition_folding,[],[f100,f101]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( precedes(X0,X1)
        | ~ earlier(X0,X1)
        | ~ legal(X1) )
      & ( ( earlier(X0,X1)
          & legal(X1) )
        | ~ precedes(X0,X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ( precedes(X0,X1)
        | ~ earlier(X0,X1)
        | ~ legal(X1) )
      & ( ( earlier(X0,X1)
          & legal(X1) )
        | ~ precedes(X0,X1) ) ),
    inference(flattening,[],[f105]) ).

fof(f125,plain,
    ! [X0] :
      ( ( occurrence_of(sK15(X0),tptp3)
        & root_occ(sK15(X0),X0)
        & occurrence_of(sK16(X0),tptp4)
        & next_subocc(sK15(X0),sK16(X0),tptp0)
        & ( occurrence_of(sK17(X0),tptp1)
          | occurrence_of(sK17(X0),tptp2) )
        & next_subocc(sK16(X0),sK17(X0),tptp0)
        & leaf_occ(sK17(X0),X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0))],[f99]) ).

fof(f126,plain,
    ! [X1,X2] :
      ( ( ? [X4] :
            ( occurrence_of(X4,tptp1)
            & min_precedes(X1,X4,tptp0) )
        & occurrence_of(X2,tptp2) )
      | ~ sP0(X1,X2) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( occurrence_of(X2,tptp1)
            & min_precedes(X0,X2,tptp0) )
        & occurrence_of(X1,tptp2) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f126]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK18(X0),tptp1)
        & min_precedes(X0,sK18(X0),tptp0)
        & occurrence_of(X1,tptp2) )
      | ~ sP0(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f127]) ).

fof(f129,plain,
    ( ! [X1,X2] :
        ( ~ leaf_occ(X2,sK19)
        | ( occurrence_of(sK20(X1),tptp2)
          & min_precedes(X1,sK20(X1),tptp0)
          & occurrence_of(X2,tptp1) )
        | sP0(X1,X2) )
    & occurrence_of(sK19,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X3,sK20(X1))],[f102]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ arboreal(X0)
      | atomic(X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ legal(X0)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ earlier(X1,X0)
      | ~ legal(X0)
      | legal(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ precedes(X0,X1)
      | legal(X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ precedes(X0,X1)
      | earlier(X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | precedes(X0,X1) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f193,plain,
    ! [X0] :
      ( leaf_occ(sK17(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f201,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f38]) ).

fof(f211,plain,
    tptp1 != tptp2,
    inference(cnf_transformation,[],[f48]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | occurrence_of(X1,tptp2) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | min_precedes(X0,sK18(X0),tptp0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f215,plain,
    occurrence_of(sK19,tptp0),
    inference(cnf_transformation,[],[f129]) ).

fof(f216,plain,
    ! [X2,X1] :
      ( ~ leaf_occ(X2,sK19)
      | occurrence_of(X2,tptp1)
      | sP0(X1,X2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f217,plain,
    ! [X2,X1] :
      ( ~ leaf_occ(X2,sK19)
      | min_precedes(X1,sK20(X1),tptp0)
      | sP0(X1,X2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f223,plain,
    ( ~ arboreal(sK19)
    | atomic(tptp0) ),
    inference(resolution,[],[f139,f215]) ).

fof(f225,plain,
    ~ arboreal(sK19),
    inference(forward_subsumption_resolution,[],[f223,f201]) ).

fof(f228,plain,
    ! [X0] :
      ( ~ occurrence_of(sK19,tptp0)
      | min_precedes(X0,sK20(X0),tptp0)
      | sP0(X0,sK17(sK19)) ),
    inference(resolution,[],[f193,f217]) ).

fof(f230,plain,
    ! [X0] :
      ( ~ occurrence_of(sK19,tptp0)
      | occurrence_of(sK17(sK19),tptp1)
      | sP0(X0,sK17(sK19)) ),
    inference(resolution,[],[f193,f216]) ).

fof(f232,plain,
    ! [X0] :
      ( occurrence_of(sK17(sK19),tptp1)
      | sP0(X0,sK17(sK19)) ),
    inference(forward_subsumption_resolution,[],[f230,f215]) ).

fof(f234,plain,
    ! [X0] :
      ( min_precedes(X0,sK20(X0),tptp0)
      | sP0(X0,sK17(sK19)) ),
    inference(forward_subsumption_resolution,[],[f228,f215]) ).

fof(f236,definition,
    ( spl21_1
  <=> ! [X0] : sP0(X0,sK17(sK19)) ),
    introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).

fof(f237,plain,
    ( ! [X0] : sP0(X0,sK17(sK19))
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f239,definition,
    ( spl21_2
  <=> occurrence_of(sK17(sK19),tptp1) ),
    introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).

fof(f241,plain,
    ( occurrence_of(sK17(sK19),tptp1)
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f242,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f232,f239,f236]) ).

fof(f275,definition,
    ( spl21_6
  <=> occurrence_of(sK17(sK19),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).

fof(f276,plain,
    ( ~ occurrence_of(sK17(sK19),tptp2)
    | spl21_6 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f277,plain,
    ( occurrence_of(sK17(sK19),tptp2)
    | ~ spl21_6 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f314,plain,
    ! [X0] :
      ( sP0(X0,sK17(sK19))
      | precedes(X0,sK20(X0)) ),
    inference(resolution,[],[f234,f155]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK17(sK19),X0)
        | tptp1 = X0 )
    | ~ spl21_2 ),
    inference(resolution,[],[f134,f241]) ).

fof(f349,plain,
    ( tptp1 = tptp2
    | ~ spl21_2
    | ~ spl21_6 ),
    inference(resolution,[],[f332,f277]) ).

fof(f355,plain,
    ( $false
    | ~ spl21_2
    | ~ spl21_6 ),
    inference(forward_subsumption_resolution,[],[f349,f211]) ).

fof(f356,plain,
    ( ~ spl21_2
    | ~ spl21_6 ),
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f373,plain,
    ( ! [X0] : min_precedes(X0,sK18(X0),tptp0)
    | ~ spl21_1 ),
    inference(resolution,[],[f237,f213]) ).

fof(f390,plain,
    ( ! [X0] : precedes(X0,sK18(X0))
    | ~ spl21_1 ),
    inference(resolution,[],[f373,f155]) ).

fof(f396,plain,
    ( ! [X0] : earlier(X0,sK18(X0))
    | ~ spl21_1 ),
    inference(resolution,[],[f390,f144]) ).

fof(f397,plain,
    ( ! [X0] : legal(sK18(X0))
    | ~ spl21_1 ),
    inference(resolution,[],[f390,f143]) ).

fof(f416,plain,
    ( ! [X0] :
        ( ~ legal(sK18(X0))
        | legal(X0) )
    | ~ spl21_1 ),
    inference(resolution,[],[f396,f142]) ).

fof(f418,plain,
    ( ! [X0] : legal(X0)
    | ~ spl21_1 ),
    inference(forward_subsumption_resolution,[],[f416,f397]) ).

fof(f422,plain,
    ( ! [X0] : arboreal(X0)
    | ~ spl21_1 ),
    inference(resolution,[],[f418,f141]) ).

fof(f424,plain,
    ( $false
    | ~ spl21_1 ),
    inference(resolution,[],[f422,f225]) ).

fof(f425,plain,
    ~ spl21_1,
    inference(avatar_contradiction_clause,[],[f424]) ).

fof(f526,plain,
    ! [X0] :
      ( precedes(X0,sK20(X0))
      | occurrence_of(sK17(sK19),tptp2) ),
    inference(resolution,[],[f314,f212]) ).

fof(f529,plain,
    ( ! [X0] : precedes(X0,sK20(X0))
    | spl21_6 ),
    inference(forward_subsumption_resolution,[],[f526,f276]) ).

fof(f534,plain,
    ( ! [X0] : earlier(X0,sK20(X0))
    | spl21_6 ),
    inference(resolution,[],[f529,f144]) ).

fof(f535,plain,
    ( ! [X0] : legal(sK20(X0))
    | spl21_6 ),
    inference(resolution,[],[f529,f143]) ).

fof(f545,plain,
    ( ! [X0] :
        ( ~ legal(sK20(X0))
        | legal(X0) )
    | spl21_6 ),
    inference(resolution,[],[f534,f142]) ).

fof(f547,plain,
    ( ! [X0] : legal(X0)
    | spl21_6 ),
    inference(forward_subsumption_resolution,[],[f545,f535]) ).

fof(f548,plain,
    ( ! [X0] : arboreal(X0)
    | spl21_6 ),
    inference(resolution,[],[f547,f141]) ).

fof(f552,plain,
    ( $false
    | spl21_6 ),
    inference(resolution,[],[f548,f225]) ).

fof(f553,plain,
    spl21_6,
    inference(avatar_contradiction_clause,[],[f552]) ).

cnf(s1,plain,
    ( spl21_1
    | spl21_2 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s5,plain,
    ( ~ spl21_2
    | ~ spl21_6 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s8,plain,
    ~ spl21_1,
    inference(sat_conversion,[],[f425]) ).

cnf(s13,plain,
    spl21_6,
    inference(sat_conversion,[],[f553]) ).

cnf(s14,plain,
    ~ spl21_2,
    inference(rat,[],[s5,s13]) ).

cnf(s17,plain,
    $false,
    inference(rat,[],[s1,s14,s8]) ).

fof(f554,plain,
    $false,
    inference(avatar_sat_refutation,[],[s17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PRO010+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37  % Computer : n015.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 22:23:16 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  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
% 0.24/0.46  % (2074437)Will run a generic schedule for satisfiability detection.
% 0.24/0.46  % (2074442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2221231266_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.46  % Detected minimum model sizes of [4]
% 0.24/0.46  % Detected maximum model sizes of [max]
% 0.24/0.46  % TRYING [4]
% 0.24/0.46  % (2074443)% WARNING: option uhcvi not known.
% 0.24/0.46  % (2074444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3784945395:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.46  % (2074443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=520381296:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.46  % (2074445)dis+10_1_sil=32000:sp=arity:random_seed=3622366402:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.46  % (2074446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1134823120:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.46  % (2074448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1849811496:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.46  % (2074447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2142907063:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.46  % TRYING [5]
% 0.24/0.46  % (2074445) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2074437-2074445"...
% 0.24/0.46  % (2074445)...printing done.
% 0.24/0.46  % (2074445)Refutation found. Thanks to Tanya!
% 0.24/0.46  % SZS status Theorem for theBenchmark
% 0.24/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.47  % (2074445)------------------------------
% 0.24/0.47  % (2074445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.47  % (2074445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.47  % (2074445)CaDiCaL version: 2.1.3
% 0.24/0.47  % (2074445)Termination reason: Refutation
% 0.24/0.47  % (2074445)Time elapsed: 0.012 s
% 0.24/0.47  % (2074445)Peak memory usage: 12 MB
% 0.24/0.47  % (2074445)Instructions burned: 15 (million)
% 0.24/0.47  % (2074437)Success in time 0.047 s
% 0.24/0.47  % Vampire exiting
%------------------------------------------------------------------------------