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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET959+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 12:45:05 PM UTC 2026

% Result   : Theorem 0.12s 0.45s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   72 (  10 unt;   4 def)
%            Number of atoms       :  199 (  55 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  214 (  87   ~;  84   |;  28   &)
%                                         (  10 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :  105 (   0 sgn  85   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f3,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f7,conjecture,
    ! [X0,X1] :
      ( ( ! [X2] :
            ~ ( in(X2,X0)
              & ! [X3,X4] : X2 != ordered_pair(X3,X4) )
        & ! [X2] :
            ~ ( in(X2,X1)
              & ! [X3,X4] : X2 != ordered_pair(X3,X4) )
        & ! [X2,X3] :
            ( in(ordered_pair(X2,X3),X0)
          <=> in(ordered_pair(X2,X3),X1) ) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_zfmisc_1) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( ! [X2] :
              ~ ( in(X2,X0)
                & ! [X3,X4] : X2 != ordered_pair(X3,X4) )
          & ! [X2] :
              ~ ( in(X2,X1)
                & ! [X3,X4] : X2 != ordered_pair(X3,X4) )
          & ! [X2,X3] :
              ( in(ordered_pair(X2,X3),X0)
            <=> in(ordered_pair(X2,X3),X1) ) )
       => X0 = X1 ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).

fof(f10,plain,
    ~ ! [X0,X1] :
        ( ( ! [X2] :
              ~ ( in(X2,X0)
                & ! [X3,X4] : X2 != ordered_pair(X3,X4) )
          & ! [X5] :
              ~ ( in(X5,X1)
                & ! [X6,X7] : ordered_pair(X6,X7) != X5 )
          & ! [X8,X9] :
              ( in(ordered_pair(X8,X9),X0)
            <=> in(ordered_pair(X8,X9),X1) ) )
       => X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f12,plain,
    ? [X0,X1] :
      ( X0 != X1
      & ! [X2] :
          ( ~ in(X2,X0)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
      & ! [X5] :
          ( ~ in(X5,X1)
          | ? [X6,X7] : ordered_pair(X6,X7) = X5 )
      & ! [X8,X9] :
          ( in(ordered_pair(X8,X9),X0)
        <=> in(ordered_pair(X8,X9),X1) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f13,plain,
    ? [X0,X1] :
      ( X0 != X1
      & ! [X2] :
          ( ~ in(X2,X0)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
      & ! [X5] :
          ( ~ in(X5,X1)
          | ? [X6,X7] : ordered_pair(X6,X7) = X5 )
      & ! [X8,X9] :
          ( in(ordered_pair(X8,X9),X0)
        <=> in(ordered_pair(X8,X9),X1) ) ),
    inference(flattening,[],[f12]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f17,plain,
    ? [X0,X1] :
      ( X0 != X1
      & ! [X2] :
          ( ~ in(X2,X0)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
      & ! [X5] :
          ( ~ in(X5,X1)
          | ? [X6,X7] : ordered_pair(X6,X7) = X5 )
      & ! [X8,X9] :
          ( ( in(ordered_pair(X8,X9),X0)
            | ~ in(ordered_pair(X8,X9),X1) )
          & ( in(ordered_pair(X8,X9),X1)
            | ~ in(ordered_pair(X8,X9),X0) ) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f18,plain,
    ( sK2 != sK3
    & ! [X2] :
        ( ~ in(X2,sK2)
        | ordered_pair(sK4(X2),sK5(X2)) = X2 )
    & ! [X5] :
        ( ~ in(X5,sK3)
        | ordered_pair(sK6(X5),sK7(X5)) = X5 )
    & ! [X8,X9] :
        ( ( in(ordered_pair(X8,X9),sK2)
          | ~ in(ordered_pair(X8,X9),sK3) )
        & ( in(ordered_pair(X8,X9),sK3)
          | ~ in(ordered_pair(X8,X9),sK2) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X3,sK4(X2)),skolemize(X4,sK5(X2)),skolemize(X6,sK6(X5)),skolemize(X7,sK7(X5))],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ in(sK8(X0,X1),X1)
          | ~ in(sK8(X0,X1),X0) )
        & ( in(sK8(X0,X1),X1)
          | in(sK8(X0,X1),X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f19]) ).

fof(f22,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f23,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f27,plain,
    ! [X8,X9] :
      ( in(ordered_pair(X8,X9),sK3)
      | ~ in(ordered_pair(X8,X9),sK2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f28,plain,
    ! [X8,X9] :
      ( in(ordered_pair(X8,X9),sK2)
      | ~ in(ordered_pair(X8,X9),sK3) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f29,plain,
    ! [X5] :
      ( ~ in(X5,sK3)
      | ordered_pair(sK6(X5),sK7(X5)) = X5 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f30,plain,
    ! [X2] :
      ( ~ in(X2,sK2)
      | ordered_pair(sK4(X2),sK5(X2)) = X2 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f31,plain,
    sK2 != sK3,
    inference(cnf_transformation,[],[f18]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( in(sK8(X0,X1),X1)
      | in(sK8(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),X1)
      | X0 = X1
      | ~ in(sK8(X0,X1),X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f35,plain,
    ! [X2] :
      ( ~ in(X2,sK2)
      | unordered_pair(unordered_pair(sK4(X2),sK5(X2)),singleton(sK4(X2))) = X2 ),
    inference(definition_unfolding,[],[f30,f23]) ).

fof(f36,plain,
    ! [X5] :
      ( ~ in(X5,sK3)
      | unordered_pair(unordered_pair(sK6(X5),sK7(X5)),singleton(sK6(X5))) = X5 ),
    inference(definition_unfolding,[],[f29,f23]) ).

fof(f37,plain,
    ! [X8,X9] :
      ( ~ in(unordered_pair(unordered_pair(X8,X9),singleton(X8)),sK3)
      | in(unordered_pair(unordered_pair(X8,X9),singleton(X8)),sK2) ),
    inference(definition_unfolding,[],[f28,f23,f23]) ).

fof(f38,plain,
    ! [X8,X9] :
      ( ~ in(unordered_pair(unordered_pair(X8,X9),singleton(X8)),sK2)
      | in(unordered_pair(unordered_pair(X8,X9),singleton(X8)),sK3) ),
    inference(definition_unfolding,[],[f27,f23,f23]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK2)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK3) ),
    inference(superposition,[],[f38,f22]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK3)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK2) ),
    inference(superposition,[],[f37,f22]) ).

fof(f62,plain,
    ! [X0] :
      ( in(sK8(X0,sK2),X0)
      | sK2 = X0
      | sK8(X0,sK2) = unordered_pair(unordered_pair(sK4(sK8(X0,sK2)),sK5(sK8(X0,sK2))),singleton(sK4(sK8(X0,sK2)))) ),
    inference(resolution,[],[f32,f35]) ).

fof(f72,plain,
    ! [X0] :
      ( in(sK8(X0,sK2),X0)
      | sK8(X0,sK2) = unordered_pair(singleton(sK4(sK8(X0,sK2))),unordered_pair(sK4(sK8(X0,sK2)),sK5(sK8(X0,sK2))))
      | sK2 = X0 ),
    inference(forward_demodulation,[],[f62,f22]) ).

fof(f87,definition,
    ( spl9_1
  <=> sK8(sK3,sK2) = unordered_pair(singleton(sK6(sK8(sK3,sK2))),unordered_pair(sK6(sK8(sK3,sK2)),sK7(sK8(sK3,sK2)))) ),
    introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).

fof(f89,plain,
    ( sK8(sK3,sK2) = unordered_pair(singleton(sK6(sK8(sK3,sK2))),unordered_pair(sK6(sK8(sK3,sK2)),sK7(sK8(sK3,sK2))))
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f91,definition,
    ( spl9_2
  <=> sK8(sK3,sK2) = unordered_pair(singleton(sK4(sK8(sK3,sK2))),unordered_pair(sK4(sK8(sK3,sK2)),sK5(sK8(sK3,sK2)))) ),
    introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).

fof(f93,plain,
    ( sK8(sK3,sK2) = unordered_pair(singleton(sK4(sK8(sK3,sK2))),unordered_pair(sK4(sK8(sK3,sK2)),sK5(sK8(sK3,sK2))))
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f121,plain,
    ( sK8(sK3,sK2) = unordered_pair(singleton(sK4(sK8(sK3,sK2))),unordered_pair(sK4(sK8(sK3,sK2)),sK5(sK8(sK3,sK2))))
    | sK2 = sK3
    | sK8(sK3,sK2) = unordered_pair(unordered_pair(sK6(sK8(sK3,sK2)),sK7(sK8(sK3,sK2))),singleton(sK6(sK8(sK3,sK2)))) ),
    inference(resolution,[],[f72,f36]) ).

fof(f124,plain,
    ( sK8(sK3,sK2) = unordered_pair(singleton(sK4(sK8(sK3,sK2))),unordered_pair(sK4(sK8(sK3,sK2)),sK5(sK8(sK3,sK2))))
    | sK8(sK3,sK2) = unordered_pair(unordered_pair(sK6(sK8(sK3,sK2)),sK7(sK8(sK3,sK2))),singleton(sK6(sK8(sK3,sK2)))) ),
    inference(forward_subsumption_resolution,[],[f121,f31]) ).

fof(f125,plain,
    ( sK8(sK3,sK2) = unordered_pair(singleton(sK6(sK8(sK3,sK2))),unordered_pair(sK6(sK8(sK3,sK2)),sK7(sK8(sK3,sK2))))
    | sK8(sK3,sK2) = unordered_pair(singleton(sK4(sK8(sK3,sK2))),unordered_pair(sK4(sK8(sK3,sK2)),sK5(sK8(sK3,sK2)))) ),
    inference(forward_demodulation,[],[f124,f22]) ).

fof(f126,plain,
    ( spl9_2
    | spl9_1 ),
    inference(avatar_split_clause,[],[f125,f87,f91]) ).

fof(f131,plain,
    ( ~ in(sK8(sK3,sK2),sK2)
    | in(sK8(sK3,sK2),sK3)
    | ~ spl9_2 ),
    inference(superposition,[],[f41,f93]) ).

fof(f157,definition,
    ( spl9_7
  <=> in(sK8(sK3,sK2),sK3) ),
    introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).

fof(f158,plain,
    ( ~ in(sK8(sK3,sK2),sK3)
    | spl9_7 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f159,plain,
    ( in(sK8(sK3,sK2),sK3)
    | ~ spl9_7 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f161,definition,
    ( spl9_8
  <=> in(sK8(sK3,sK2),sK2) ),
    introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).

fof(f162,plain,
    ( in(sK8(sK3,sK2),sK2)
    | ~ spl9_8 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f164,plain,
    ( spl9_7
    | ~ spl9_8
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f131,f91,f161,f157]) ).

fof(f183,plain,
    ( in(sK8(sK3,sK2),sK2)
    | sK2 = sK3
    | spl9_7 ),
    inference(resolution,[],[f158,f32]) ).

fof(f184,plain,
    ( in(sK8(sK3,sK2),sK2)
    | spl9_7 ),
    inference(forward_subsumption_resolution,[],[f183,f31]) ).

fof(f185,plain,
    ( spl9_8
    | spl9_7 ),
    inference(avatar_split_clause,[],[f184,f157,f161]) ).

fof(f186,plain,
    ( sK8(sK3,sK2) = unordered_pair(unordered_pair(sK6(sK8(sK3,sK2)),sK7(sK8(sK3,sK2))),singleton(sK6(sK8(sK3,sK2))))
    | ~ spl9_7 ),
    inference(resolution,[],[f159,f36]) ).

fof(f188,plain,
    ( sK8(sK3,sK2) = unordered_pair(singleton(sK6(sK8(sK3,sK2))),unordered_pair(sK6(sK8(sK3,sK2)),sK7(sK8(sK3,sK2))))
    | ~ spl9_7 ),
    inference(forward_demodulation,[],[f186,f22]) ).

fof(f189,plain,
    ( spl9_1
    | ~ spl9_7 ),
    inference(avatar_split_clause,[],[f188,f157,f87]) ).

fof(f190,plain,
    ( ~ in(sK8(sK3,sK2),sK3)
    | in(sK8(sK3,sK2),sK2)
    | ~ spl9_1 ),
    inference(superposition,[],[f42,f89]) ).

fof(f192,plain,
    ( ~ in(sK8(sK3,sK2),sK2)
    | in(sK8(sK3,sK2),sK3)
    | ~ spl9_1 ),
    inference(superposition,[],[f41,f89]) ).

fof(f217,plain,
    ( in(sK8(sK3,sK2),sK2)
    | ~ spl9_1
    | ~ spl9_7 ),
    inference(forward_subsumption_resolution,[],[f190,f159]) ).

fof(f222,plain,
    ( spl9_8
    | ~ spl9_1
    | ~ spl9_7 ),
    inference(avatar_split_clause,[],[f217,f157,f87,f161]) ).

fof(f235,plain,
    ( sK2 = sK3
    | ~ in(sK8(sK3,sK2),sK3)
    | ~ spl9_8 ),
    inference(resolution,[],[f162,f33]) ).

fof(f239,plain,
    ( ~ in(sK8(sK3,sK2),sK3)
    | ~ spl9_8 ),
    inference(forward_subsumption_resolution,[],[f235,f31]) ).

fof(f242,plain,
    ( in(sK8(sK3,sK2),sK3)
    | ~ spl9_1
    | ~ spl9_8 ),
    inference(forward_subsumption_resolution,[],[f192,f162]) ).

fof(f243,plain,
    ( ~ spl9_7
    | ~ spl9_8 ),
    inference(avatar_split_clause,[],[f239,f161,f157]) ).

fof(f245,plain,
    ( spl9_7
    | ~ spl9_1
    | ~ spl9_8 ),
    inference(avatar_split_clause,[],[f242,f161,f87,f157]) ).

cnf(s4,plain,
    ( spl9_1
    | spl9_2 ),
    inference(sat_conversion,[],[f126]) ).

cnf(s7,plain,
    ( ~ spl9_2
    | spl9_7
    | ~ spl9_8 ),
    inference(sat_conversion,[],[f164]) ).

cnf(s13,plain,
    ( spl9_7
    | spl9_8 ),
    inference(sat_conversion,[],[f185]) ).

cnf(s14,plain,
    ( spl9_1
    | ~ spl9_7 ),
    inference(sat_conversion,[],[f189]) ).

cnf(s17,plain,
    ( ~ spl9_1
    | ~ spl9_7
    | spl9_8 ),
    inference(sat_conversion,[],[f222]) ).

cnf(s23,plain,
    ( ~ spl9_7
    | ~ spl9_8 ),
    inference(sat_conversion,[],[f243]) ).

cnf(s25,plain,
    ( ~ spl9_1
    | spl9_7
    | ~ spl9_8 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s26,plain,
    spl9_1,
    inference(rat,[],[s7,s13,s4,s14]) ).

cnf(s27,plain,
    spl9_7,
    inference(rat,[],[s13,s25,s26]) ).

cnf(s28,plain,
    ~ spl9_8,
    inference(rat,[],[s23,s27]) ).

cnf(s29,plain,
    $false,
    inference(rat,[],[s17,s26,s28,s27]) ).

fof(f246,plain,
    $false,
    inference(avatar_sat_refutation,[],[s29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET959+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36  % Computer : n009.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 28 03:16:15 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  Running first-order model finding
% 0.12/0.39  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
% 0.12/0.45  % (2631011)Will run a generic schedule for satisfiability detection.
% 0.12/0.45  % (2631016)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4221427390_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45  % TRYING [1]
% 0.12/0.45  % TRYING [2]
% 0.12/0.45  % TRYING [3]
% 0.12/0.45  % (2631017)% WARNING: option uhcvi not known.
% 0.12/0.45  % (2631018)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2146683207:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45  % (2631019)dis+10_1_sil=32000:sp=arity:random_seed=3092642923:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45  % (2631022)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3026737744:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45  % (2631020)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1169172740:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45  % (2631021)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3897202094:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45  % (2631017)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1087233974:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45  % (2631019) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2631011-2631019"...
% 0.12/0.45  % (2631021) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2631011-2631021"...
% 0.12/0.45  % (2631020) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2631011-2631020"...
% 0.12/0.45  % (2631019)...printing done.
% 0.12/0.45  % (2631021)...printing done.
% 0.12/0.45  % (2631019)Refutation found. Thanks to Tanya!
% 0.12/0.45  % SZS status Theorem for theBenchmark
% 0.12/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45  % (2631019)------------------------------
% 0.12/0.45  % (2631019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45  % (2631019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45  % (2631019)CaDiCaL version: 2.1.3
% 0.12/0.45  % (2631019)Termination reason: Refutation
% 0.12/0.45  % (2631019)Time elapsed: 0.007 s
% 0.12/0.45  % (2631019)Peak memory usage: 12 MB
% 0.12/0.45  % (2631019)Instructions burned: 9 (million)
% 0.12/0.45  % (2631011)Success in time 0.048 s
% 0.12/0.45  % Vampire exiting
%------------------------------------------------------------------------------