TSTP Solution File: SWB017+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWB017+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:43:52 EDT 2024

% Result   : Theorem 1.77s 0.62s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   70 (   7 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   79 (  31   ~;  24   |;  21   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   44 (  40   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,axiom,
    ! [X,Y] :
      ( iext(uri_owl_differentFrom,X,Y)
    <=> X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f353,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ip(P1)
        & ip(P2)
        & ! [X,Y] :
            ~ ( iext(P1,X,Y)
              & iext(P2,X,Y) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1749,plain,
    ! [X,Y] :
      ( ( ~ iext(uri_owl_differentFrom,X,Y)
        | X != Y )
      & ( iext(uri_owl_differentFrom,X,Y)
        | X = Y ) ),
    inference(NNF_transformation,[status(esa)],[f345]) ).

fof(f1750,plain,
    ( ! [X,Y] :
        ( ~ iext(uri_owl_differentFrom,X,Y)
        | X != Y )
    & ! [X,Y] :
        ( iext(uri_owl_differentFrom,X,Y)
        | X = Y ) ),
    inference(miniscoping,[status(esa)],[f1749]) ).

fof(f1752,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f1750]) ).

fof(f1823,plain,
    ! [P1,P2] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ip(P1)
        & ip(P2)
        & ! [X,Y] :
            ( ~ iext(P1,X,Y)
            | ~ iext(P2,X,Y) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f353]) ).

fof(f1824,plain,
    ! [P1,P2] :
      ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X,Y] :
              ( ~ iext(P1,X,Y)
              | ~ iext(P2,X,Y) ) ) )
      & ( iext(uri_owl_propertyDisjointWith,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ? [X,Y] :
            ( iext(P1,X,Y)
            & iext(P2,X,Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f1823]) ).

fof(f1825,plain,
    ( ! [P1,P2] :
        ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X,Y] :
              ( ~ iext(P1,X,Y)
              | ~ iext(P2,X,Y) ) ) )
    & ! [P1,P2] :
        ( iext(uri_owl_propertyDisjointWith,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ? [X,Y] :
            ( iext(P1,X,Y)
            & iext(P2,X,Y) ) ) ),
    inference(miniscoping,[status(esa)],[f1824]) ).

fof(f1826,plain,
    ( ! [P1,P2] :
        ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X,Y] :
              ( ~ iext(P1,X,Y)
              | ~ iext(P2,X,Y) ) ) )
    & ! [P1,P2] :
        ( iext(uri_owl_propertyDisjointWith,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ( iext(P1,sk0_126(P2,P1),sk0_127(P2,P1))
          & iext(P2,sk0_126(P2,P1),sk0_127(P2,P1)) ) ) ),
    inference(skolemization,[status(esa)],[f1825]) ).

fof(f1829,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
      | ~ iext(X0,X2,X3)
      | ~ iext(X1,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f1826]) ).

fof(f2405,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[status(esa)],[f560]) ).

fof(f2406,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[status(esa)],[f561]) ).

fof(f2407,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[status(esa)],[f561]) ).

fof(f2408,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[status(esa)],[f561]) ).

fof(f2516,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[status(thm)],[f1752,f2405]) ).

fof(f2519,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(forward_demodulation,[status(thm)],[f2516,f2408]) ).

fof(f2721,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_notInstanceOf,X0,X1)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(resolution,[status(thm)],[f1829,f2406]) ).

fof(f2722,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(resolution,[status(thm)],[f2721,f2519]) ).

fof(f2723,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2722,f2407]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB017+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33  % Computer : n019.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit : 300
% 0.09/0.33  % WCLimit  : 300
% 0.09/0.33  % DateTime : Mon Apr 29 23:03:29 EDT 2024
% 0.09/0.33  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 1.77/0.62  % Refutation found
% 1.77/0.62  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.77/0.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.77/0.62  % Elapsed time: 0.292010 seconds
% 1.77/0.62  % CPU time: 1.943670 seconds
% 1.77/0.62  % Total memory used: 113.686 MB
% 1.77/0.62  % Net memory used: 113.177 MB
%------------------------------------------------------------------------------