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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU179+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 : n011.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 12:52:16 PM UTC 2026

% Result   : Theorem 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   81 (  13 unt;   3 def)
%            Number of atoms       :  272 (  26 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  317 ( 126   ~; 134   |;  35   &)
%                                         (  13 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   2 con; 0-2 aty)
%            Number of variables   :  159 (   0 sgn 137   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f6,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(f28,conjecture,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ( subset(X0,X1)
           => ( subset(relation_dom(X0),relation_dom(X1))
              & subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).

fof(f29,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ! [X1] :
            ( relation(X1)
           => ( subset(X0,X1)
             => ( subset(relation_dom(X0),relation_dom(X1))
                & subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f44,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ subset(relation_dom(X0),relation_dom(X1))
            | ~ subset(relation_rng(X0),relation_rng(X1)) )
          & subset(X0,X1)
          & relation(X1) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f45,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ subset(relation_dom(X0),relation_dom(X1))
            | ~ subset(relation_rng(X0),relation_rng(X1)) )
          & subset(X0,X1)
          & relation(X1) )
      & relation(X0) ),
    inference(flattening,[],[f44]) ).

fof(f54,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,[],[f39]) ).

fof(f55,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,[],[f54]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK0(X0,X1),X1)
          & in(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f55]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f57]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ( ( ! [X3] : ~ in(ordered_pair(sK1(X0,X1),X3),X0)
                | ~ in(sK1(X0,X1),X1) )
              & ( in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
                | in(sK1(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK3(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f58]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
                | ~ in(sK4(X0,X1),X1) )
              & ( in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
                | in(sK4(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK6(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f61]) ).

fof(f69,plain,
    ( ( ~ subset(relation_dom(sK13),relation_dom(sK14))
      | ~ subset(relation_rng(sK13),relation_rng(sK14)) )
    & subset(sK13,sK14)
    & relation(sK14)
    & relation(sK13) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f45]) ).

fof(f73,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f76,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(X5,sK3(X0,X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f77,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f80,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(sK6(X0,X5),X5),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f81,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X6,X5),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f84,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    relation(sK13),
    inference(cnf_transformation,[],[f69]) ).

fof(f102,plain,
    relation(sK14),
    inference(cnf_transformation,[],[f69]) ).

fof(f103,plain,
    subset(sK13,sK14),
    inference(cnf_transformation,[],[f69]) ).

fof(f104,plain,
    ( ~ subset(relation_dom(sK13),relation_dom(sK14))
    | ~ subset(relation_rng(sK13),relation_rng(sK14)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f115,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f77,f84]) ).

fof(f116,plain,
    ! [X0,X1,X5] :
      ( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f76,f84]) ).

fof(f119,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f81,f84]) ).

fof(f120,plain,
    ! [X0,X1,X5] :
      ( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f80,f84]) ).

fof(f122,plain,
    ! [X0,X6,X5] :
      ( in(X5,relation_dom(X0))
      | ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f115]) ).

fof(f123,plain,
    ! [X0,X5] :
      ( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
      | ~ in(X5,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f124,plain,
    ! [X0,X6,X5] :
      ( in(X5,relation_rng(X0))
      | ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f119]) ).

fof(f125,plain,
    ! [X0,X5] :
      ( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
      | ~ in(X5,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f120]) ).

fof(f128,plain,
    ! [X0,X6,X5] :
      ( relation(X0)
      | ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
      | in(X5,relation_dom(X0)) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f129,plain,
    ! [X0,X5] :
      ( relation(X0)
      | ~ in(X5,relation_dom(X0))
      | in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f132,plain,
    ! [X0,X6,X5] :
      ( relation(X0)
      | ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | in(X5,relation_rng(X0)) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f133,plain,
    ! [X0,X5] :
      ( relation(X0)
      | ~ in(X5,relation_rng(X0))
      | in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0) ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f139,plain,
    ~ relation(sK14),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f140,plain,
    ~ relation(sK13),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f147,definition,
    ( spl15_1
  <=> subset(relation_rng(sK13),relation_rng(sK14)) ),
    introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).

fof(f149,plain,
    ( ~ subset(relation_rng(sK13),relation_rng(sK14))
    | spl15_1 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f151,definition,
    ( spl15_2
  <=> subset(relation_dom(sK13),relation_dom(sK14)) ),
    introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).

fof(f153,plain,
    ( ~ subset(relation_dom(sK13),relation_dom(sK14))
    | spl15_2 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f154,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f104,f151,f147]) ).

fof(f265,plain,
    ( ~ in(sK0(relation_rng(sK13),relation_rng(sK14)),relation_rng(sK14))
    | spl15_1 ),
    inference(resolution,[],[f75,f149]) ).

fof(f266,plain,
    ( ~ in(sK0(relation_dom(sK13),relation_dom(sK14)),relation_dom(sK14))
    | spl15_2 ),
    inference(resolution,[],[f75,f153]) ).

fof(f299,plain,
    ! [X0] :
      ( in(X0,sK14)
      | ~ in(X0,sK13) ),
    inference(resolution,[],[f73,f103]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK14)
      | in(X0,relation_dom(sK14)) ),
    inference(resolution,[],[f128,f139]) ).

fof(f585,plain,
    ! [X0,X1] :
      ( in(X0,relation_dom(sK14))
      | ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK13) ),
    inference(resolution,[],[f577,f299]) ).

fof(f597,definition,
    ( spl15_29
  <=> ! [X0,X1] :
        ( in(X0,relation_dom(sK14))
        | ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK13) ) ),
    introduced(definition,[new_symbols(definition,[spl15_29])],[avatar_definition]) ).

fof(f598,plain,
    ( ! [X0,X1] :
        ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK13)
        | in(X0,relation_dom(sK14)) )
    | ~ spl15_29 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f605,plain,
    spl15_29,
    inference(avatar_split_clause,[],[f585,f597]) ).

fof(f683,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK14)
      | in(X1,relation_rng(sK14)) ),
    inference(resolution,[],[f132,f139]) ).

fof(f691,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X1)),sK13)
      | in(X0,relation_rng(sK14)) ),
    inference(resolution,[],[f683,f299]) ).

fof(f774,plain,
    ! [X0] :
      ( in(unordered_pair(unordered_pair(X0,sK3(sK13,X0)),singleton(X0)),sK13)
      | ~ in(X0,relation_dom(sK13)) ),
    inference(resolution,[],[f129,f140]) ).

fof(f778,plain,
    ( ! [X0] :
        ( in(X0,relation_dom(sK14))
        | ~ in(X0,relation_dom(sK13)) )
    | ~ spl15_29 ),
    inference(resolution,[],[f774,f598]) ).

fof(f797,plain,
    ( ~ in(sK0(relation_dom(sK13),relation_dom(sK14)),relation_dom(sK13))
    | spl15_2
    | ~ spl15_29 ),
    inference(resolution,[],[f778,f266]) ).

fof(f900,plain,
    ! [X0] :
      ( in(unordered_pair(unordered_pair(sK6(sK13,X0),X0),singleton(sK6(sK13,X0))),sK13)
      | ~ in(X0,relation_rng(sK13)) ),
    inference(resolution,[],[f133,f140]) ).

fof(f920,plain,
    ( subset(relation_dom(sK13),relation_dom(sK14))
    | spl15_2
    | ~ spl15_29 ),
    inference(resolution,[],[f797,f74]) ).

fof(f924,plain,
    ( spl15_2
    | spl15_2
    | ~ spl15_29 ),
    inference(avatar_split_clause,[],[f920,f597,f151,f151]) ).

fof(f1731,plain,
    ! [X0] :
      ( in(X0,relation_rng(sK14))
      | ~ in(X0,relation_rng(sK13)) ),
    inference(resolution,[],[f900,f691]) ).

fof(f1752,plain,
    ( ~ in(sK0(relation_rng(sK13),relation_rng(sK14)),relation_rng(sK13))
    | spl15_1 ),
    inference(resolution,[],[f1731,f265]) ).

fof(f1802,plain,
    ( subset(relation_rng(sK13),relation_rng(sK14))
    | spl15_1 ),
    inference(resolution,[],[f1752,f74]) ).

fof(f1806,plain,
    ( spl15_1
    | spl15_1 ),
    inference(avatar_split_clause,[],[f1802,f147,f147]) ).

cnf(s1,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(sat_conversion,[],[f154]) ).

cnf(s20,plain,
    spl15_29,
    inference(sat_conversion,[],[f605]) ).

cnf(s29,plain,
    ( spl15_2
    | spl15_2
    | ~ spl15_29 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s30,plain,
    ( spl15_2
    | ~ spl15_29 ),
    inference(rat,[],[s29]) ).

cnf(s71,plain,
    ( spl15_1
    | spl15_1 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s72,plain,
    spl15_1,
    inference(rat,[],[s71]) ).

cnf(s73,plain,
    spl15_2,
    inference(rat,[],[s30,s20]) ).

cnf(s74,plain,
    $false,
    inference(rat,[],[s1,s73,s72]) ).

fof(f1807,plain,
    $false,
    inference(avatar_sat_refutation,[],[s74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU179+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n011.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 : Mon Sep 28 03:54:30 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
% 0.17/0.47  % (3005451)Will run a generic schedule for satisfiability detection.
% 0.17/0.47  % (3005462)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1336925875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47  % (3005457)% WARNING: option uhcvi not known.
% 0.17/0.47  % (3005458)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2898889046:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47  % (3005457)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2452738478:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47  % (3005456)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1899772083_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47  % (3005459)dis+10_1_sil=32000:sp=arity:random_seed=2747197488:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47  % (3005461)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2515160529:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47  % (3005460)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1788924712:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47  % TRYING [1]
% 0.17/0.47  % TRYING [2]
% 0.17/0.47  % TRYING [3]
% 0.17/0.47  % TRYING [4]
% 0.17/0.47  % (3005462) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3005451-3005462"...
% 0.17/0.47  % (3005462)...printing done.
% 0.17/0.47  % (3005462)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status Theorem for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47  % (3005462)------------------------------
% 0.17/0.47  % (3005462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47  % (3005462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47  % (3005462)CaDiCaL version: 2.1.3
% 0.17/0.47  % (3005462)Termination reason: Refutation
% 0.17/0.47  % (3005462)Time elapsed: 0.020 s
% 0.17/0.47  % (3005462)Peak memory usage: 13 MB
% 0.17/0.47  % (3005462)Instructions burned: 55 (million)
% 0.17/0.47  % (3005451)Success in time 0.044 s
% 0.17/0.47  % Vampire exiting
%------------------------------------------------------------------------------