%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:37:02 EDT 2023

% Result   : Theorem 11.11s 3.06s
% Output   : CNFRefutation 14.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   8 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   62 (  25   ~;  16   |;  11   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-4 aty)
%            Number of variables   :   28 (;  20   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19053,axiom,
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(C,k1_zfmisc_1(A))
        & m2_relset_1(D,A,B) )
     => m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19089,conjecture,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B,C] :
          ( m1_subset_1(C,k1_zfmisc_1(A))
         => ! [D] :
              ( m2_relset_1(D,A,B)
             => m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19090,negated_conjecture,
    ~ ! [A] :
        ( ~ v1_xboole_0(A)
       => ! [B,C] :
            ( m1_subset_1(C,k1_zfmisc_1(A))
           => ! [D] :
                ( m2_relset_1(D,A,B)
               => m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    inference(negated_conjecture,[status(cth)],[f19089]) ).

fof(f89181,plain,
    ! [A,B,C,D] :
      ( v1_xboole_0(A)
      | ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ~ m2_relset_1(D,A,B)
      | m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
    inference(pre_NNF_transformation,[status(esa)],[f19053]) ).

fof(f89182,plain,
    ! [X0,X1,X2,X3] :
      ( v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m2_relset_1(X2,X0,X3)
      | m1_subset_1(a_4_0_relset_2(X0,X3,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X3))) ),
    inference(cnf_transformation,[status(esa)],[f89181]) ).

fof(f89271,plain,
    ? [A] :
      ( ~ v1_xboole_0(A)
      & ? [B,C] :
          ( m1_subset_1(C,k1_zfmisc_1(A))
          & ? [D] :
              ( m2_relset_1(D,A,B)
              & ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f19090]) ).

fof(f89272,plain,
    ? [A] :
      ( ~ v1_xboole_0(A)
      & ? [C] :
          ( m1_subset_1(C,k1_zfmisc_1(A))
          & ? [B,D] :
              ( m2_relset_1(D,A,B)
              & ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    inference(miniscoping,[status(esa)],[f89271]) ).

fof(f89273,plain,
    ( ~ v1_xboole_0(sk0_6522)
    & m1_subset_1(sk0_6523,k1_zfmisc_1(sk0_6522))
    & m2_relset_1(sk0_6525,sk0_6522,sk0_6524)
    & ~ m1_subset_1(a_4_0_relset_2(sk0_6522,sk0_6524,sk0_6523,sk0_6525),k1_zfmisc_1(k1_zfmisc_1(sk0_6524))) ),
    inference(skolemization,[status(esa)],[f89272]) ).

fof(f89274,plain,
    ~ v1_xboole_0(sk0_6522),
    inference(cnf_transformation,[status(esa)],[f89273]) ).

fof(f89275,plain,
    m1_subset_1(sk0_6523,k1_zfmisc_1(sk0_6522)),
    inference(cnf_transformation,[status(esa)],[f89273]) ).

fof(f89276,plain,
    m2_relset_1(sk0_6525,sk0_6522,sk0_6524),
    inference(cnf_transformation,[status(esa)],[f89273]) ).

fof(f89277,plain,
    ~ m1_subset_1(a_4_0_relset_2(sk0_6522,sk0_6524,sk0_6523,sk0_6525),k1_zfmisc_1(k1_zfmisc_1(sk0_6524))),
    inference(cnf_transformation,[status(esa)],[f89273]) ).

fof(f108402,plain,
    ( spl0_2354
  <=> v1_xboole_0(sk0_6522) ),
    introduced(split_symbol_definition) ).

fof(f108403,plain,
    ( v1_xboole_0(sk0_6522)
    | ~ spl0_2354 ),
    inference(component_clause,[status(thm)],[f108402]) ).

fof(f108417,plain,
    ( spl0_2357
  <=> m1_subset_1(sk0_6523,k1_zfmisc_1(sk0_6522)) ),
    introduced(split_symbol_definition) ).

fof(f108419,plain,
    ( ~ m1_subset_1(sk0_6523,k1_zfmisc_1(sk0_6522))
    | spl0_2357 ),
    inference(component_clause,[status(thm)],[f108417]) ).

fof(f108420,plain,
    ( spl0_2358
  <=> m2_relset_1(sk0_6525,sk0_6522,sk0_6524) ),
    introduced(split_symbol_definition) ).

fof(f108422,plain,
    ( ~ m2_relset_1(sk0_6525,sk0_6522,sk0_6524)
    | spl0_2358 ),
    inference(component_clause,[status(thm)],[f108420]) ).

fof(f108423,plain,
    ( v1_xboole_0(sk0_6522)
    | ~ m1_subset_1(sk0_6523,k1_zfmisc_1(sk0_6522))
    | ~ m2_relset_1(sk0_6525,sk0_6522,sk0_6524) ),
    inference(resolution,[status(thm)],[f89182,f89277]) ).

fof(f108424,plain,
    ( spl0_2354
    | ~ spl0_2357
    | ~ spl0_2358 ),
    inference(split_clause,[status(thm)],[f108423,f108402,f108417,f108420]) ).

fof(f108430,plain,
    ( $false
    | spl0_2358 ),
    inference(forward_subsumption_resolution,[status(thm)],[f108422,f89276]) ).

fof(f108431,plain,
    spl0_2358,
    inference(contradiction_clause,[status(thm)],[f108430]) ).

fof(f108432,plain,
    ( $false
    | spl0_2357 ),
    inference(forward_subsumption_resolution,[status(thm)],[f108419,f89275]) ).

fof(f108433,plain,
    spl0_2357,
    inference(contradiction_clause,[status(thm)],[f108432]) ).

fof(f108434,plain,
    ( $false
    | ~ spl0_2354 ),
    inference(forward_subsumption_resolution,[status(thm)],[f108403,f89274]) ).

fof(f108435,plain,
    ~ spl0_2354,
    inference(contradiction_clause,[status(thm)],[f108434]) ).

fof(f108436,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f108424,f108431,f108433,f108435]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n021.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 09:17:10 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 1.53/1.75  % Drodi V3.5.1
% 11.11/3.06  % Refutation found
% 11.11/3.06  % SZS status Theorem for theBenchmark: Theorem is valid
% 11.11/3.06  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.21/3.41  % Elapsed time: 3.032563 seconds
% 14.21/3.41  % CPU time: 12.316095 seconds
% 14.21/3.41  % Memory used: 5.041 GB
%------------------------------------------------------------------------------