TSTP Solution File: SEU424+4 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU424+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 12:37:03 EDT 2023

% Result   : Theorem 64.09s 14.16s
% Output   : CNFRefutation 73.73s
% 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(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/sandbox/benchmark/theBenchmark.p') ).

fof(f71100,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/sandbox/benchmark/theBenchmark.p') ).

fof(f71101,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)],[f71100]) ).

fof(f335884,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)],[f71064]) ).

fof(f335885,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)],[f335884]) ).

fof(f335974,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)],[f71101]) ).

fof(f335975,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)],[f335974]) ).

fof(f335976,plain,
    ( ~ v1_xboole_0(sk0_23835)
    & m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835))
    & m2_relset_1(sk0_23838,sk0_23835,sk0_23837)
    & ~ m1_subset_1(a_4_0_relset_2(sk0_23835,sk0_23837,sk0_23836,sk0_23838),k1_zfmisc_1(k1_zfmisc_1(sk0_23837))) ),
    inference(skolemization,[status(esa)],[f335975]) ).

fof(f335977,plain,
    ~ v1_xboole_0(sk0_23835),
    inference(cnf_transformation,[status(esa)],[f335976]) ).

fof(f335978,plain,
    m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835)),
    inference(cnf_transformation,[status(esa)],[f335976]) ).

fof(f335979,plain,
    m2_relset_1(sk0_23838,sk0_23835,sk0_23837),
    inference(cnf_transformation,[status(esa)],[f335976]) ).

fof(f335980,plain,
    ~ m1_subset_1(a_4_0_relset_2(sk0_23835,sk0_23837,sk0_23836,sk0_23838),k1_zfmisc_1(k1_zfmisc_1(sk0_23837))),
    inference(cnf_transformation,[status(esa)],[f335976]) ).

fof(f402739,plain,
    ( spl0_6189
  <=> v1_xboole_0(sk0_23835) ),
    introduced(split_symbol_definition) ).

fof(f402740,plain,
    ( v1_xboole_0(sk0_23835)
    | ~ spl0_6189 ),
    inference(component_clause,[status(thm)],[f402739]) ).

fof(f402757,plain,
    ( spl0_6190
  <=> m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835)) ),
    introduced(split_symbol_definition) ).

fof(f402759,plain,
    ( ~ m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835))
    | spl0_6190 ),
    inference(component_clause,[status(thm)],[f402757]) ).

fof(f402760,plain,
    ( spl0_6191
  <=> m2_relset_1(sk0_23838,sk0_23835,sk0_23837) ),
    introduced(split_symbol_definition) ).

fof(f402762,plain,
    ( ~ m2_relset_1(sk0_23838,sk0_23835,sk0_23837)
    | spl0_6191 ),
    inference(component_clause,[status(thm)],[f402760]) ).

fof(f402763,plain,
    ( v1_xboole_0(sk0_23835)
    | ~ m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835))
    | ~ m2_relset_1(sk0_23838,sk0_23835,sk0_23837) ),
    inference(resolution,[status(thm)],[f335885,f335980]) ).

fof(f402764,plain,
    ( spl0_6189
    | ~ spl0_6190
    | ~ spl0_6191 ),
    inference(split_clause,[status(thm)],[f402763,f402739,f402757,f402760]) ).

fof(f402768,plain,
    ( $false
    | spl0_6190 ),
    inference(forward_subsumption_resolution,[status(thm)],[f402759,f335978]) ).

fof(f402769,plain,
    spl0_6190,
    inference(contradiction_clause,[status(thm)],[f402768]) ).

fof(f402770,plain,
    ( $false
    | spl0_6191 ),
    inference(forward_subsumption_resolution,[status(thm)],[f402762,f335979]) ).

fof(f402771,plain,
    spl0_6191,
    inference(contradiction_clause,[status(thm)],[f402770]) ).

fof(f402772,plain,
    ( $false
    | ~ spl0_6189 ),
    inference(forward_subsumption_resolution,[status(thm)],[f402740,f335977]) ).

fof(f402773,plain,
    ~ spl0_6189,
    inference(contradiction_clause,[status(thm)],[f402772]) ).

fof(f402774,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f402764,f402769,f402771,f402773]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU424+4 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n004.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 09:10:18 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 6.64/6.83  % Drodi V3.5.1
% 64.09/14.16  % Refutation found
% 64.09/14.16  % SZS status Theorem for theBenchmark: Theorem is valid
% 64.09/14.16  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 76.46/15.75  % Elapsed time: 15.217558 seconds
% 76.46/15.75  % CPU time: 67.627921 seconds
% 76.46/15.75  % Memory used: 20.781 GB
%------------------------------------------------------------------------------