%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU294+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:41:50 EDT 2024

% Result   : Theorem 13.30s 2.14s
% Output   : CNFRefutation 13.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   6 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   56 (  22   ~;  17   |;  10   &)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   26 (  22   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [A] :
      ( finite(A)
     => ! [B] :
          ( element(B,powerset(A))
         => finite(B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f249,conjecture,
    ! [A,B] :
      ( ( subset(A,B)
        & finite(B) )
     => finite(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f250,negated_conjecture,
    ~ ! [A,B] :
        ( ( subset(A,B)
          & finite(B) )
       => finite(A) ),
    inference(negated_conjecture,[status(cth)],[f249]) ).

fof(f324,axiom,
    ! [A,B] :
      ( element(A,powerset(B))
    <=> subset(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f422,plain,
    ! [A] :
      ( ~ finite(A)
      | ! [B] :
          ( ~ element(B,powerset(A))
          | finite(B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f423,plain,
    ! [X0,X1] :
      ( ~ finite(X0)
      | ~ element(X1,powerset(X0))
      | finite(X1) ),
    inference(cnf_transformation,[status(esa)],[f422]) ).

fof(f1497,plain,
    ? [A,B] :
      ( subset(A,B)
      & finite(B)
      & ~ finite(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f250]) ).

fof(f1498,plain,
    ? [A] :
      ( ? [B] :
          ( subset(A,B)
          & finite(B) )
      & ~ finite(A) ),
    inference(miniscoping,[status(esa)],[f1497]) ).

fof(f1499,plain,
    ( subset(sk0_200,sk0_201)
    & finite(sk0_201)
    & ~ finite(sk0_200) ),
    inference(skolemization,[status(esa)],[f1498]) ).

fof(f1500,plain,
    subset(sk0_200,sk0_201),
    inference(cnf_transformation,[status(esa)],[f1499]) ).

fof(f1501,plain,
    finite(sk0_201),
    inference(cnf_transformation,[status(esa)],[f1499]) ).

fof(f1502,plain,
    ~ finite(sk0_200),
    inference(cnf_transformation,[status(esa)],[f1499]) ).

fof(f1744,plain,
    ! [A,B] :
      ( ( ~ element(A,powerset(B))
        | subset(A,B) )
      & ( element(A,powerset(B))
        | ~ subset(A,B) ) ),
    inference(NNF_transformation,[status(esa)],[f324]) ).

fof(f1745,plain,
    ( ! [A,B] :
        ( ~ element(A,powerset(B))
        | subset(A,B) )
    & ! [A,B] :
        ( element(A,powerset(B))
        | ~ subset(A,B) ) ),
    inference(miniscoping,[status(esa)],[f1744]) ).

fof(f1747,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1745]) ).

fof(f9965,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ finite(X1)
      | finite(X0) ),
    inference(resolution,[status(thm)],[f1747,f423]) ).

fof(f11476,plain,
    ( spl0_397
  <=> finite(sk0_201) ),
    introduced(split_symbol_definition) ).

fof(f11478,plain,
    ( ~ finite(sk0_201)
    | spl0_397 ),
    inference(component_clause,[status(thm)],[f11476]) ).

fof(f11479,plain,
    ( spl0_398
  <=> finite(sk0_200) ),
    introduced(split_symbol_definition) ).

fof(f11480,plain,
    ( finite(sk0_200)
    | ~ spl0_398 ),
    inference(component_clause,[status(thm)],[f11479]) ).

fof(f11482,plain,
    ( ~ finite(sk0_201)
    | finite(sk0_200) ),
    inference(resolution,[status(thm)],[f9965,f1500]) ).

fof(f11483,plain,
    ( ~ spl0_397
    | spl0_398 ),
    inference(split_clause,[status(thm)],[f11482,f11476,f11479]) ).

fof(f11529,plain,
    ( $false
    | spl0_397 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11478,f1501]) ).

fof(f11530,plain,
    spl0_397,
    inference(contradiction_clause,[status(thm)],[f11529]) ).

fof(f11531,plain,
    ( $false
    | ~ spl0_398 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11480,f1502]) ).

fof(f11532,plain,
    ~ spl0_398,
    inference(contradiction_clause,[status(thm)],[f11531]) ).

fof(f11533,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f11483,f11530,f11532]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU294+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 20:05:58 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.39  % Drodi V3.6.0
% 13.30/2.14  % Refutation found
% 13.30/2.14  % SZS status Theorem for theBenchmark: Theorem is valid
% 13.30/2.14  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.30/2.16  % Elapsed time: 1.793149 seconds
% 13.30/2.16  % CPU time: 13.894012 seconds
% 13.30/2.16  % Total memory used: 174.413 MB
% 13.30/2.16  % Net memory used: 168.802 MB
%------------------------------------------------------------------------------