%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU429+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:42:21 EDT 2024

% Result   : Theorem 64.48s 14.25s
% Output   : CNFRefutation 74.74s
% 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(f71064,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/sandbox/benchmark/theBenchmark.p') ).

fof(f71112,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/sandbox/benchmark/theBenchmark.p') ).

fof(f71113,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)],[f71112]) ).

fof(f335896,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)],[f71064]) ).

fof(f335897,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)],[f335896]) ).

fof(f336033,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)],[f71113]) ).

fof(f336034,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)],[f336033]) ).

fof(f336035,plain,
    ( ~ v1_xboole_0(sk0_23837)
    & m1_subset_1(sk0_23838,k1_zfmisc_1(k1_zfmisc_1(sk0_23837)))
    & m2_relset_1(sk0_23840,sk0_23837,sk0_23839)
    & ~ m1_subset_1(a_4_1_relset_2(sk0_23837,sk0_23839,sk0_23838,sk0_23840),k1_zfmisc_1(k1_zfmisc_1(sk0_23839))) ),
    inference(skolemization,[status(esa)],[f336034]) ).

fof(f336036,plain,
    ~ v1_xboole_0(sk0_23837),
    inference(cnf_transformation,[status(esa)],[f336035]) ).

fof(f336037,plain,
    m1_subset_1(sk0_23838,k1_zfmisc_1(k1_zfmisc_1(sk0_23837))),
    inference(cnf_transformation,[status(esa)],[f336035]) ).

fof(f336038,plain,
    m2_relset_1(sk0_23840,sk0_23837,sk0_23839),
    inference(cnf_transformation,[status(esa)],[f336035]) ).

fof(f336039,plain,
    ~ m1_subset_1(a_4_1_relset_2(sk0_23837,sk0_23839,sk0_23838,sk0_23840),k1_zfmisc_1(k1_zfmisc_1(sk0_23839))),
    inference(cnf_transformation,[status(esa)],[f336035]) ).

fof(f402810,plain,
    ( spl0_6191
  <=> v1_xboole_0(sk0_23837) ),
    introduced(split_symbol_definition) ).

fof(f402811,plain,
    ( v1_xboole_0(sk0_23837)
    | ~ spl0_6191 ),
    inference(component_clause,[status(thm)],[f402810]) ).

fof(f402929,plain,
    ( spl0_6197
  <=> m1_subset_1(sk0_23838,k1_zfmisc_1(k1_zfmisc_1(sk0_23837))) ),
    introduced(split_symbol_definition) ).

fof(f402931,plain,
    ( ~ m1_subset_1(sk0_23838,k1_zfmisc_1(k1_zfmisc_1(sk0_23837)))
    | spl0_6197 ),
    inference(component_clause,[status(thm)],[f402929]) ).

fof(f402932,plain,
    ( spl0_6198
  <=> m2_relset_1(sk0_23840,sk0_23837,sk0_23839) ),
    introduced(split_symbol_definition) ).

fof(f402934,plain,
    ( ~ m2_relset_1(sk0_23840,sk0_23837,sk0_23839)
    | spl0_6198 ),
    inference(component_clause,[status(thm)],[f402932]) ).

fof(f402935,plain,
    ( v1_xboole_0(sk0_23837)
    | ~ m1_subset_1(sk0_23838,k1_zfmisc_1(k1_zfmisc_1(sk0_23837)))
    | ~ m2_relset_1(sk0_23840,sk0_23837,sk0_23839) ),
    inference(resolution,[status(thm)],[f335897,f336039]) ).

fof(f402936,plain,
    ( spl0_6191
    | ~ spl0_6197
    | ~ spl0_6198 ),
    inference(split_clause,[status(thm)],[f402935,f402810,f402929,f402932]) ).

fof(f402941,plain,
    ( $false
    | spl0_6197 ),
    inference(forward_subsumption_resolution,[status(thm)],[f402931,f336037]) ).

fof(f402942,plain,
    spl0_6197,
    inference(contradiction_clause,[status(thm)],[f402941]) ).

fof(f402943,plain,
    ( $false
    | spl0_6198 ),
    inference(forward_subsumption_resolution,[status(thm)],[f402934,f336038]) ).

fof(f402944,plain,
    spl0_6198,
    inference(contradiction_clause,[status(thm)],[f402943]) ).

fof(f402945,plain,
    ( $false
    | ~ spl0_6191 ),
    inference(forward_subsumption_resolution,[status(thm)],[f402811,f336036]) ).

fof(f402946,plain,
    ~ spl0_6191,
    inference(contradiction_clause,[status(thm)],[f402945]) ).

fof(f402947,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f402936,f402942,f402944,f402946]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEU429+4 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n022.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 19:40:54 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 6.61/6.86  % Drodi V3.6.0
% 64.48/14.25  % Refutation found
% 64.48/14.25  % SZS status Theorem for theBenchmark: Theorem is valid
% 64.48/14.25  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 76.57/15.77  % Elapsed time: 15.151651 seconds
% 76.57/15.77  % CPU time: 68.481259 seconds
% 76.57/15.77  % Total memory used: 21.406 GB
% 76.57/15.77  % Net memory used: 21.277 GB
%------------------------------------------------------------------------------