%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 : Wed May 31 12:36:36 EDT 2023

% Result   : Theorem 0.24s 0.57s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  17   ~;  12   |;  10   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   27 (;  23   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [A] :
      ( finite(A)
     => ! [B] :
          ( element(B,powerset(A))
         => finite(B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,conjecture,
    ! [A,B] :
      ( ( subset(A,B)
        & finite(B) )
     => finite(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ~ ! [A,B] :
        ( ( subset(A,B)
          & finite(B) )
       => finite(A) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

fof(f50,axiom,
    ! [A,B] :
      ( element(A,powerset(B))
    <=> subset(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f76,plain,
    ! [A] :
      ( ~ finite(A)
      | ! [B] :
          ( ~ element(B,powerset(A))
          | finite(B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ finite(X0)
      | ~ element(X1,powerset(X0))
      | finite(X1) ),
    inference(cnf_transformation,[status(esa)],[f76]) ).

fof(f225,plain,
    ? [A,B] :
      ( subset(A,B)
      & finite(B)
      & ~ finite(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f47]) ).

fof(f226,plain,
    ? [A] :
      ( ? [B] :
          ( subset(A,B)
          & finite(B) )
      & ~ finite(A) ),
    inference(miniscoping,[status(esa)],[f225]) ).

fof(f227,plain,
    ( subset(sk0_26,sk0_27)
    & finite(sk0_27)
    & ~ finite(sk0_26) ),
    inference(skolemization,[status(esa)],[f226]) ).

fof(f228,plain,
    subset(sk0_26,sk0_27),
    inference(cnf_transformation,[status(esa)],[f227]) ).

fof(f229,plain,
    finite(sk0_27),
    inference(cnf_transformation,[status(esa)],[f227]) ).

fof(f230,plain,
    ~ finite(sk0_26),
    inference(cnf_transformation,[status(esa)],[f227]) ).

fof(f235,plain,
    ! [A,B] :
      ( ( ~ element(A,powerset(B))
        | subset(A,B) )
      & ( element(A,powerset(B))
        | ~ subset(A,B) ) ),
    inference(NNF_transformation,[status(esa)],[f50]) ).

fof(f236,plain,
    ( ! [A,B] :
        ( ~ element(A,powerset(B))
        | subset(A,B) )
    & ! [A,B] :
        ( element(A,powerset(B))
        | ~ subset(A,B) ) ),
    inference(miniscoping,[status(esa)],[f235]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f236]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( ~ finite(X0)
      | finite(X1)
      | ~ subset(X1,X0) ),
    inference(resolution,[status(thm)],[f77,f238]) ).

fof(f255,plain,
    ! [X0] :
      ( finite(X0)
      | ~ subset(X0,sk0_27) ),
    inference(resolution,[status(thm)],[f253,f229]) ).

fof(f256,plain,
    finite(sk0_26),
    inference(resolution,[status(thm)],[f255,f228]) ).

fof(f257,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f256,f230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 09:13:47 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.24/0.57  % Refutation found
% 0.24/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.57  % Elapsed time: 0.013787 seconds
% 0.24/0.57  % CPU time: 0.031102 seconds
% 0.24/0.57  % Memory used: 12.329 MB
%------------------------------------------------------------------------------