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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU224+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n016.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 12:52:28 PM UTC 2026

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   75 (   8 unt;   3 def)
%            Number of atoms       :  312 (  52 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  384 ( 147   ~; 154   |;  64   &)
%                                         (  10 <=>;   7  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :  124 (   0 sgn 106   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_intersection2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & in(X3,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( relation(X0)
        & function(X0) )
     => ( relation(relation_dom_restriction(X0,X1))
        & function(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).

fof(f23,conjecture,
    ! [X0,X1,X2] :
      ( ( relation(X2)
        & function(X2) )
     => ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,relation_dom(X2))
          & in(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).

fof(f24,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( relation(X2)
          & function(X2) )
       => ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
        <=> ( in(X1,relation_dom(X2))
            & in(X1,X0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f23]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( X1 = relation_dom_restriction(X2,X0)
          <=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).

fof(f48,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( relation(relation_dom_restriction(X0,X1))
        & function(relation_dom_restriction(X0,X1)) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ( relation(relation_dom_restriction(X0,X1))
        & function(relation_dom_restriction(X0,X1)) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f53]) ).

fof(f58,plain,
    ? [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <~> ( in(X1,relation_dom(X2))
          & in(X1,X0) ) )
      & relation(X2)
      & function(X2) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f59,plain,
    ? [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <~> ( in(X1,relation_dom(X2))
          & in(X1,X0) ) )
      & relation(X2)
      & function(X2) ),
    inference(flattening,[],[f58]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X1 = relation_dom_restriction(X2,X0)
          <=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
              & ! [X3] :
                  ( apply(X1,X3) = apply(X2,X3)
                  | ~ in(X3,relation_dom(X1)) ) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X1 = relation_dom_restriction(X2,X0)
          <=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
              & ! [X3] :
                  ( apply(X1,X3) = apply(X2,X3)
                  | ~ in(X3,relation_dom(X1)) ) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f63]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(flattening,[],[f68]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f69]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ( ( ~ in(sK0(X0,X1,X2),X0)
            | ~ in(sK0(X0,X1,X2),X1)
            | ~ in(sK0(X0,X1,X2),X2) )
          & ( ( in(sK0(X0,X1,X2),X0)
              & in(sK0(X0,X1,X2),X1) )
            | in(sK0(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f70]) ).

fof(f73,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X1,relation_dom(X2))
        | ~ in(X1,X0)
        | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & ( ( in(X1,relation_dom(X2))
          & in(X1,X0) )
        | in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & relation(X2)
      & function(X2) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f74,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X1,relation_dom(X2))
        | ~ in(X1,X0)
        | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & ( ( in(X1,relation_dom(X2))
          & in(X1,X0) )
        | in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
      & relation(X2)
      & function(X2) ),
    inference(flattening,[],[f73]) ).

fof(f75,plain,
    ( ( ~ in(sK3,relation_dom(sK4))
      | ~ in(sK3,sK2)
      | ~ in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) )
    & ( ( in(sK3,relation_dom(sK4))
        & in(sK3,sK2) )
      | in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) )
    & relation(sK4)
    & function(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f74]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X1 = relation_dom_restriction(X2,X0)
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) ) )
            & ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X3] :
                    ( apply(X1,X3) = apply(X2,X3)
                    | ~ in(X3,relation_dom(X1)) ) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X1 = relation_dom_restriction(X2,X0)
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) ) )
            & ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X3] :
                    ( apply(X1,X3) = apply(X2,X3)
                    | ~ in(X3,relation_dom(X1)) ) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X1 = relation_dom_restriction(X2,X0)
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) ) )
            & ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X4] :
                    ( apply(X1,X4) = apply(X2,X4)
                    | ~ in(X4,relation_dom(X1)) ) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(rectify,[],[f85]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X1 = relation_dom_restriction(X2,X0)
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | ( apply(X1,sK13(X1,X2)) != apply(X2,sK13(X1,X2))
                & in(sK13(X1,X2),relation_dom(X1)) ) )
            & ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X4] :
                    ( apply(X1,X4) = apply(X2,X4)
                    | ~ in(X4,relation_dom(X1)) ) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X1,X2))],[f86]) ).

fof(f94,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f95,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f96,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | ~ in(X4,X1)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( function(relation_dom_restriction(X0,X1))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f117,plain,
    function(sK4),
    inference(cnf_transformation,[],[f75]) ).

fof(f118,plain,
    relation(sK4),
    inference(cnf_transformation,[],[f75]) ).

fof(f119,plain,
    ( in(sK3,sK2)
    | in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f120,plain,
    ( in(sK3,relation_dom(sK4))
    | in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f121,plain,
    ( ~ in(sK3,relation_dom(sK4))
    | ~ in(sK3,sK2)
    | ~ in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
      | relation_dom_restriction(X2,X0) != X1
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f147,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_intersection2(X0,X1))
      | ~ in(X4,X0)
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f96]) ).

fof(f148,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f95]) ).

fof(f149,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f94]) ).

fof(f150,plain,
    ! [X2,X0] :
      ( relation_dom(relation_dom_restriction(X2,X0)) = set_intersection2(relation_dom(X2),X0)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation(relation_dom_restriction(X2,X0))
      | ~ function(relation_dom_restriction(X2,X0)) ),
    inference(equality_resolution,[],[f141]) ).

fof(f153,definition,
    ( spl14_1
  <=> in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
    introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).

fof(f154,plain,
    ( ~ in(sK3,relation_dom(relation_dom_restriction(sK4,sK2)))
    | spl14_1 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f155,plain,
    ( in(sK3,relation_dom(relation_dom_restriction(sK4,sK2)))
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f157,definition,
    ( spl14_2
  <=> in(sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).

fof(f159,plain,
    ( in(sK3,sK2)
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f160,plain,
    ( spl14_1
    | spl14_2 ),
    inference(avatar_split_clause,[],[f119,f157,f153]) ).

fof(f162,definition,
    ( spl14_3
  <=> in(sK3,relation_dom(sK4)) ),
    introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).

fof(f164,plain,
    ( in(sK3,relation_dom(sK4))
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f165,plain,
    ( spl14_1
    | spl14_3 ),
    inference(avatar_split_clause,[],[f120,f162,f153]) ).

fof(f166,plain,
    ( ~ spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(avatar_split_clause,[],[f121,f162,f157,f153]) ).

fof(f279,plain,
    ! [X2,X0] :
      ( relation_dom(relation_dom_restriction(X2,X0)) = set_intersection2(relation_dom(X2),X0)
      | ~ relation(X2)
      | ~ function(X2)
      | ~ function(relation_dom_restriction(X2,X0)) ),
    inference(forward_subsumption_resolution,[],[f150,f100]) ).

fof(f280,plain,
    ! [X2,X0] :
      ( ~ relation(X2)
      | relation_dom(relation_dom_restriction(X2,X0)) = set_intersection2(relation_dom(X2),X0)
      | ~ function(X2) ),
    inference(forward_subsumption_resolution,[],[f279,f109]) ).

fof(f285,plain,
    ! [X0] :
      ( relation_dom(relation_dom_restriction(sK4,X0)) = set_intersection2(relation_dom(sK4),X0)
      | ~ function(sK4) ),
    inference(resolution,[],[f280,f118]) ).

fof(f314,plain,
    ! [X0] : relation_dom(relation_dom_restriction(sK4,X0)) = set_intersection2(relation_dom(sK4),X0),
    inference(forward_subsumption_resolution,[],[f285,f117]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( in(X1,relation_dom(relation_dom_restriction(sK4,X0)))
      | ~ in(X1,relation_dom(sK4))
      | ~ in(X1,X0) ),
    inference(superposition,[],[f147,f314]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( ~ in(X1,relation_dom(relation_dom_restriction(sK4,X0)))
      | in(X1,X0) ),
    inference(superposition,[],[f149,f314]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ~ in(X1,relation_dom(relation_dom_restriction(sK4,X0)))
      | in(X1,relation_dom(sK4)) ),
    inference(superposition,[],[f148,f314]) ).

fof(f1875,plain,
    ( ~ in(sK3,relation_dom(sK4))
    | ~ in(sK3,sK2)
    | spl14_1 ),
    inference(resolution,[],[f334,f154]) ).

fof(f1882,plain,
    ( ~ in(sK3,sK2)
    | spl14_1
    | ~ spl14_3 ),
    inference(forward_subsumption_resolution,[],[f1875,f164]) ).

fof(f1884,plain,
    ( $false
    | spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(forward_subsumption_resolution,[],[f1882,f159]) ).

fof(f1885,plain,
    ( spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(avatar_contradiction_clause,[],[f1884]) ).

fof(f1899,plain,
    ( in(sK3,relation_dom(sK4))
    | ~ spl14_1 ),
    inference(resolution,[],[f155,f336]) ).

fof(f1900,plain,
    ( in(sK3,sK2)
    | ~ spl14_1 ),
    inference(resolution,[],[f155,f335]) ).

fof(f1909,plain,
    ( spl14_3
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f1899,f153,f162]) ).

fof(f1910,plain,
    ( spl14_2
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f1900,f153,f157]) ).

cnf(s1,plain,
    ( spl14_1
    | spl14_2 ),
    inference(sat_conversion,[],[f160]) ).

cnf(s2,plain,
    ( spl14_1
    | spl14_3 ),
    inference(sat_conversion,[],[f165]) ).

cnf(s3,plain,
    ( ~ spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(sat_conversion,[],[f166]) ).

cnf(s47,plain,
    ( spl14_1
    | ~ spl14_2
    | ~ spl14_3 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s52,plain,
    ( ~ spl14_1
    | spl14_3 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s53,plain,
    ( ~ spl14_1
    | spl14_2 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s70,plain,
    spl14_1,
    inference(rat,[],[s47,s1,s2]) ).

cnf(s71,plain,
    spl14_2,
    inference(rat,[],[s53,s70]) ).

cnf(s72,plain,
    spl14_3,
    inference(rat,[],[s52,s70]) ).

cnf(s73,plain,
    $false,
    inference(rat,[],[s3,s71,s72,s70]) ).

fof(f1911,plain,
    $false,
    inference(avatar_sat_refutation,[],[s73]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU224+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n016.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 04:14:33 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  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
% 0.18/0.48  % (3250369)Will run a generic schedule for satisfiability detection.
% 0.18/0.48  % (3250384)dis+10_1_sil=32000:sp=arity:random_seed=2110662107:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48  % (3250381)% WARNING: option uhcvi not known.
% 0.18/0.48  % (3250381)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2880818842:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48  % (3250382)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1235864722:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48  % (3250380)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3177843095_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48  % (3250385)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=223254089:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48  % TRYING [1]
% 0.18/0.48  % TRYING [2]
% 0.18/0.48  % TRYING [3]
% 0.18/0.48  % (3250387)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=156025011:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48  % (3250386)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2562349109:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48  % TRYING [4]
% 0.18/0.48  % (3250384) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250369-3250384"...
% 0.18/0.48  % (3250384)...printing done.
% 0.18/0.48  % (3250384)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Theorem for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (3250384)------------------------------
% 0.18/0.48  % (3250384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48  % (3250384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48  % (3250384)CaDiCaL version: 2.1.3
% 0.18/0.48  % (3250384)Termination reason: Refutation
% 0.18/0.48  % (3250384)Time elapsed: 0.029 s
% 0.18/0.48  % (3250384)Peak memory usage: 13 MB
% 0.18/0.48  % (3250384)Instructions burned: 75 (million)
% 0.18/0.48  % (3250369)Success in time 0.054 s
% 0.18/0.48  % Vampire exiting
%------------------------------------------------------------------------------