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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU226+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 12:52:29 PM UTC 2026

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   59 (  10 unt;   2 def)
%            Number of atoms       :  293 (  44 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  377 ( 143   ~; 147   |;  66   &)
%                                         (  16 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-3 aty)
%            Number of variables   :  127 (   0 sgn 109   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1,X2] :
          ( X2 = relation_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & in(X4,X1)
                  & X3 = apply(X0,X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_funct_1) ).

fof(f6,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f33,conjecture,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t145_funct_1) ).

fof(f34,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( relation(X1)
          & function(X1) )
       => subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    inference(negated_conjecture,[status(cth)],[f33]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & in(X4,X1)
                  & X3 = apply(X0,X4) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & in(X4,X1)
                  & X3 = apply(X0,X4) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f53]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f55]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f62,plain,
    ? [X0,X1] :
      ( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
      & relation(X1)
      & function(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f63,plain,
    ? [X0,X1] :
      ( ~ subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
      & relation(X1)
      & function(X1) ),
    inference(flattening,[],[f62]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_image(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | ~ in(X4,X1)
                      | apply(X0,X4) != X3 )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & in(X4,X1)
                      & X3 = apply(X0,X4) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | ~ in(X4,X1)
                      | apply(X0,X4) != X3 ) )
                & ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & in(X4,X1)
                      & X3 = apply(X0,X4) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f74,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_image(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | ~ in(X4,X1)
                      | apply(X0,X4) != X3 )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( in(X5,relation_dom(X0))
                      & in(X5,X1)
                      & apply(X0,X5) = X3 )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,relation_dom(X0))
                      | ~ in(X7,X1)
                      | apply(X0,X7) != X6 ) )
                & ( ? [X8] :
                      ( in(X8,relation_dom(X0))
                      & in(X8,X1)
                      & apply(X0,X8) = X6 )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f73]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_image(X0,X1)
            | ( ( ! [X4] :
                    ( ~ in(X4,relation_dom(X0))
                    | ~ in(X4,X1)
                    | apply(X0,X4) != sK0(X0,X1,X2) )
                | ~ in(sK0(X0,X1,X2),X2) )
              & ( ( in(sK1(X0,X1,X2),relation_dom(X0))
                  & in(sK1(X0,X1,X2),X1)
                  & sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2)) )
                | in(sK0(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(X7,relation_dom(X0))
                      | ~ in(X7,X1)
                      | apply(X0,X7) != X6 ) )
                & ( ( in(sK2(X0,X1,X6),relation_dom(X0))
                    & in(sK2(X0,X1,X6),X1)
                    & apply(X0,sK2(X0,X1,X6)) = X6 )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f74]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ? [X3] :
                ( ( ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1)
                  | ~ in(X3,X2) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ? [X3] :
                ( ( ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1)
                  | ~ in(X3,X2) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f76]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ? [X3] :
                ( ( ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1)
                  | ~ in(X3,X2) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(X4,relation_dom(X0))
                  | ~ in(apply(X0,X4),X1) )
                & ( ( in(X4,relation_dom(X0))
                    & in(apply(X0,X4),X1) )
                  | ~ in(X4,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f77]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ( ( ~ in(sK3(X0,X1,X2),relation_dom(X0))
                | ~ in(apply(X0,sK3(X0,X1,X2)),X1)
                | ~ in(sK3(X0,X1,X2),X2) )
              & ( ( in(sK3(X0,X1,X2),relation_dom(X0))
                  & in(apply(X0,sK3(X0,X1,X2)),X1) )
                | in(sK3(X0,X1,X2),X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(X4,relation_dom(X0))
                  | ~ in(apply(X0,X4),X1) )
                & ( ( in(X4,relation_dom(X0))
                    & in(apply(X0,X4),X1) )
                  | ~ in(X4,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f78]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f80]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK4(X0,X1),X1)
          & in(sK4(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f81]) ).

fof(f94,plain,
    ( ~ subset(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16)
    & relation(sK17)
    & function(sK17) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f63]) ).

fof(f101,plain,
    ! [X2,X0,X1,X6] :
      ( apply(X0,sK2(X0,X1,X6)) = X6
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f102,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK2(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f109,plain,
    ! [X2,X0,X1,X4] :
      ( in(apply(X0,X4),X1)
      | ~ in(X4,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( in(sK4(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ in(sK4(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f147,plain,
    function(sK17),
    inference(cnf_transformation,[],[f94]) ).

fof(f148,plain,
    relation(sK17),
    inference(cnf_transformation,[],[f94]) ).

fof(f149,plain,
    ~ subset(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),
    inference(cnf_transformation,[],[f94]) ).

fof(f162,plain,
    ! [X0,X1,X6] :
      ( in(sK2(X0,X1,X6),X1)
      | ~ in(X6,relation_image(X0,X1))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f102]) ).

fof(f163,plain,
    ! [X0,X1,X6] :
      ( ~ in(X6,relation_image(X0,X1))
      | apply(X0,sK2(X0,X1,X6)) = X6
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f101]) ).

fof(f166,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,relation_inverse_image(X0,X1))
      | in(apply(X0,X4),X1)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f109]) ).

fof(f275,plain,
    ! [X2,X3,X0,X1] :
      ( in(apply(X2,sK2(X1,relation_inverse_image(X2,X3),X0)),X3)
      | ~ relation(X1)
      | ~ function(X1)
      | ~ in(X0,relation_image(X1,relation_inverse_image(X2,X3)))
      | ~ relation(X2)
      | ~ function(X2) ),
    inference(resolution,[],[f162,f166]) ).

fof(f288,plain,
    ! [X2,X0,X1] :
      ( subset(relation_image(X0,X1),X2)
      | ~ relation(X0)
      | ~ function(X0)
      | sK4(relation_image(X0,X1),X2) = apply(X0,sK2(X0,X1,sK4(relation_image(X0,X1),X2))) ),
    inference(resolution,[],[f163,f116]) ).

fof(f1323,plain,
    ( ~ relation(sK17)
    | ~ function(sK17)
    | sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16) = apply(sK17,sK2(sK17,relation_inverse_image(sK17,sK16),sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16))) ),
    inference(resolution,[],[f288,f149]) ).

fof(f1328,plain,
    ( ~ function(sK17)
    | sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16) = apply(sK17,sK2(sK17,relation_inverse_image(sK17,sK16),sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16))) ),
    inference(forward_subsumption_resolution,[],[f1323,f148]) ).

fof(f1329,plain,
    sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16) = apply(sK17,sK2(sK17,relation_inverse_image(sK17,sK16),sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16))),
    inference(forward_subsumption_resolution,[],[f1328,f147]) ).

fof(f1371,plain,
    ( in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),sK16)
    | ~ relation(sK17)
    | ~ function(sK17)
    | ~ in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),relation_image(sK17,relation_inverse_image(sK17,sK16)))
    | ~ relation(sK17)
    | ~ function(sK17) ),
    inference(superposition,[],[f275,f1329]) ).

fof(f1377,plain,
    ( in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),sK16)
    | ~ relation(sK17)
    | ~ function(sK17)
    | ~ in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),relation_image(sK17,relation_inverse_image(sK17,sK16))) ),
    inference(duplicate_literal_removal,[],[f1371]) ).

fof(f1383,plain,
    ( in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),sK16)
    | ~ function(sK17)
    | ~ in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),relation_image(sK17,relation_inverse_image(sK17,sK16))) ),
    inference(forward_subsumption_resolution,[],[f1377,f148]) ).

fof(f1389,plain,
    ( in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),sK16)
    | ~ in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),relation_image(sK17,relation_inverse_image(sK17,sK16))) ),
    inference(forward_subsumption_resolution,[],[f1383,f147]) ).

fof(f1415,definition,
    ( spl18_14
  <=> in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),relation_image(sK17,relation_inverse_image(sK17,sK16))) ),
    introduced(definition,[new_symbols(definition,[spl18_14])],[avatar_definition]) ).

fof(f1417,plain,
    ( ~ in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),relation_image(sK17,relation_inverse_image(sK17,sK16)))
    | spl18_14 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1419,definition,
    ( spl18_15
  <=> in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),sK16) ),
    introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).

fof(f1421,plain,
    ( in(sK4(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16),sK16)
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f1419]) ).

fof(f1422,plain,
    ( ~ spl18_14
    | spl18_15 ),
    inference(avatar_split_clause,[],[f1389,f1419,f1415]) ).

fof(f1462,plain,
    ( subset(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16)
    | spl18_14 ),
    inference(resolution,[],[f1417,f116]) ).

fof(f1463,plain,
    ( $false
    | spl18_14 ),
    inference(forward_subsumption_resolution,[],[f1462,f149]) ).

fof(f1464,plain,
    spl18_14,
    inference(avatar_contradiction_clause,[],[f1463]) ).

fof(f1504,plain,
    ( subset(relation_image(sK17,relation_inverse_image(sK17,sK16)),sK16)
    | ~ spl18_15 ),
    inference(resolution,[],[f1421,f117]) ).

fof(f1508,plain,
    ( $false
    | ~ spl18_15 ),
    inference(forward_subsumption_resolution,[],[f1504,f149]) ).

fof(f1509,plain,
    ~ spl18_15,
    inference(avatar_contradiction_clause,[],[f1508]) ).

cnf(s17,plain,
    ( ~ spl18_14
    | spl18_15 ),
    inference(sat_conversion,[],[f1422]) ).

cnf(s18,plain,
    spl18_14,
    inference(sat_conversion,[],[f1464]) ).

cnf(s19,plain,
    ~ spl18_15,
    inference(sat_conversion,[],[f1509]) ).

cnf(s20,plain,
    $false,
    inference(rat,[],[s17,s19,s18]) ).

fof(f1510,plain,
    $false,
    inference(avatar_sat_refutation,[],[s20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU226+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n010.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 04:10:17 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  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
% 0.18/0.51  % (1547100)Will run a generic schedule for satisfiability detection.
% 0.18/0.51  % (1547110)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1182581444:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.51  % (1547106)% WARNING: option uhcvi not known.
% 0.18/0.51  % (1547105)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3310400026_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.51  % (1547109)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4021759888:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.51  % (1547106)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1414657039:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.51  % (1547107)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2939470067:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.51  % (1547108)dis+10_1_sil=32000:sp=arity:random_seed=3327850974:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.51  % (1547111)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3210274776:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.51  % TRYING [1]
% 0.18/0.51  % TRYING [2]
% 0.18/0.51  % TRYING [3]
% 0.18/0.51  % TRYING [4]
% 0.18/0.51  % TRYING [5]
% 0.18/0.51  % (1547110)Instruction limit reached! 
% 0.18/0.51  % (1547110)------------------------------
% 0.18/0.51  % (1547110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51  % (1547110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51  % (1547110)CaDiCaL version: 2.1.3
% 0.18/0.51  % (1547110)Termination reason: Instruction limit
% 0.18/0.51  % (1547110)Termination phase: Saturation
% 0.18/0.51  % (1547110)Time elapsed: 0.043 s
% 0.18/0.51  % (1547110)Peak memory usage: 12 MB
% 0.18/0.51  % (1547110)Instructions burned: 135 (million)
% 0.18/0.51  % (1547108) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1547100-1547108"...
% 0.18/0.51  % (1547111) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1547100-1547111"...
% 0.18/0.51  % (1547108)...printing done.
% 0.18/0.51  % (1547108)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (1547108)------------------------------
% 0.18/0.51  % (1547108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.51  % (1547108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.51  % (1547108)CaDiCaL version: 2.1.3
% 0.18/0.51  % (1547108)Termination reason: Refutation
% 0.18/0.51  % (1547108)Time elapsed: 0.041 s
% 0.18/0.51  % (1547108)Peak memory usage: 13 MB
% 0.18/0.51  % (1547108)Instructions burned: 65 (million)
% 0.18/0.51  % (1547100)Success in time 0.087 s
% 0.18/0.51  % Vampire exiting
%------------------------------------------------------------------------------