%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:37:04 EDT 2023

% Result   : Theorem 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% 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(f1,conjecture,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B,C] :
          ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
         => ! [D] :
              ( m2_relset_1(D,A,B)
             => m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [A] :
        ( ~ v1_xboole_0(A)
       => ! [B,C] :
            ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
           => ! [D] :
                ( m2_relset_1(D,A,B)
               => m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f43,axiom,
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m2_relset_1(D,A,B) )
     => m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,plain,
    ? [A] :
      ( ~ v1_xboole_0(A)
      & ? [B,C] :
          ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
          & ? [D] :
              ( m2_relset_1(D,A,B)
              & ~ m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f54,plain,
    ? [A] :
      ( ~ v1_xboole_0(A)
      & ? [C] :
          ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
          & ? [B,D] :
              ( m2_relset_1(D,A,B)
              & ~ m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
    inference(miniscoping,[status(esa)],[f53]) ).

fof(f55,plain,
    ( ~ v1_xboole_0(sk0_0)
    & m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))
    & m2_relset_1(sk0_3,sk0_0,sk0_2)
    & ~ m1_subset_1(a_4_1_relset_2(sk0_0,sk0_2,sk0_1,sk0_3),k1_zfmisc_1(k1_zfmisc_1(sk0_2))) ),
    inference(skolemization,[status(esa)],[f54]) ).

fof(f56,plain,
    ~ v1_xboole_0(sk0_0),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f57,plain,
    m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0))),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f58,plain,
    m2_relset_1(sk0_3,sk0_0,sk0_2),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f59,plain,
    ~ m1_subset_1(a_4_1_relset_2(sk0_0,sk0_2,sk0_1,sk0_3),k1_zfmisc_1(k1_zfmisc_1(sk0_2))),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f148,plain,
    ! [A,B,C,D] :
      ( v1_xboole_0(A)
      | ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
      | ~ m2_relset_1(D,A,B)
      | m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
    inference(pre_NNF_transformation,[status(esa)],[f43]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3] :
      ( v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m2_relset_1(X2,X0,X3)
      | m1_subset_1(a_4_1_relset_2(X0,X3,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X3))) ),
    inference(cnf_transformation,[status(esa)],[f148]) ).

fof(f178,plain,
    ( spl0_0
  <=> v1_xboole_0(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f179,plain,
    ( v1_xboole_0(sk0_0)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f178]) ).

fof(f181,plain,
    ( spl0_1
  <=> m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0))) ),
    introduced(split_symbol_definition) ).

fof(f183,plain,
    ( ~ m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f181]) ).

fof(f184,plain,
    ( spl0_2
  <=> m2_relset_1(sk0_3,sk0_0,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f186,plain,
    ( ~ m2_relset_1(sk0_3,sk0_0,sk0_2)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f184]) ).

fof(f187,plain,
    ( v1_xboole_0(sk0_0)
    | ~ m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))
    | ~ m2_relset_1(sk0_3,sk0_0,sk0_2) ),
    inference(resolution,[status(thm)],[f149,f59]) ).

fof(f188,plain,
    ( spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f187,f178,f181,f184]) ).

fof(f189,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f186,f58]) ).

fof(f190,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f189]) ).

fof(f191,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f183,f57]) ).

fof(f192,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f191]) ).

fof(f193,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f179,f56]) ).

fof(f194,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f193]) ).

fof(f195,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f188,f190,f192,f194]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 09:34:04 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.19/0.35  % Refutation found
% 0.19/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.57  % Elapsed time: 0.017468 seconds
% 0.19/0.57  % CPU time: 0.030735 seconds
% 0.19/0.57  % Memory used: 11.973 MB
%------------------------------------------------------------------------------