TSTP Solution File: SWB074+1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWB074+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:38:46 EDT 2023

% Result   : Theorem 0.21s 0.54s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   53 (  21   ~;  19   |;  10   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   30 (;  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [X] :
      ( lv(X)
    <=> icext(uri_rdfs_Literal,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f266,axiom,
    ! [X,Y] :
      ( iext(uri_owl_topDataProperty,X,Y)
    <=> ( ir(X)
        & lv(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Thing) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f565,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f592,plain,
    ! [X,C] :
      ( ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) )
      & ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) ) ),
    inference(NNF_transformation,[status(esa)],[f25]) ).

fof(f593,plain,
    ( ! [X,C] :
        ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) )
    & ! [X,C] :
        ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) ) ),
    inference(miniscoping,[status(esa)],[f592]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f637,plain,
    ! [X] :
      ( ( ~ lv(X)
        | icext(uri_rdfs_Literal,X) )
      & ( lv(X)
        | ~ icext(uri_rdfs_Literal,X) ) ),
    inference(NNF_transformation,[status(esa)],[f56]) ).

fof(f638,plain,
    ( ! [X] :
        ( ~ lv(X)
        | icext(uri_rdfs_Literal,X) )
    & ! [X] :
        ( lv(X)
        | ~ icext(uri_rdfs_Literal,X) ) ),
    inference(miniscoping,[status(esa)],[f637]) ).

fof(f640,plain,
    ! [X0] :
      ( lv(X0)
      | ~ icext(uri_rdfs_Literal,X0) ),
    inference(cnf_transformation,[status(esa)],[f638]) ).

fof(f1058,plain,
    ! [X,Y] :
      ( ( ~ iext(uri_owl_topDataProperty,X,Y)
        | ( ir(X)
          & lv(Y) ) )
      & ( iext(uri_owl_topDataProperty,X,Y)
        | ~ ir(X)
        | ~ lv(Y) ) ),
    inference(NNF_transformation,[status(esa)],[f266]) ).

fof(f1059,plain,
    ( ! [X,Y] :
        ( ~ iext(uri_owl_topDataProperty,X,Y)
        | ( ir(X)
          & lv(Y) ) )
    & ! [X,Y] :
        ( iext(uri_owl_topDataProperty,X,Y)
        | ~ ir(X)
        | ~ lv(Y) ) ),
    inference(miniscoping,[status(esa)],[f1058]) ).

fof(f1062,plain,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X0,X1)
      | ~ ir(X0)
      | ~ lv(X1) ),
    inference(cnf_transformation,[status(esa)],[f1059]) ).

fof(f2405,plain,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(cnf_transformation,[status(esa)],[f560]) ).

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

fof(f2515,plain,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X0,X1)
      | ~ lv(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1062,f565]) ).

fof(f2561,plain,
    icext(uri_rdfs_Literal,uri_ex_y),
    inference(resolution,[status(thm)],[f594,f2406]) ).

fof(f2658,plain,
    lv(uri_ex_y),
    inference(resolution,[status(thm)],[f640,f2561]) ).

fof(f2661,plain,
    ! [X0] : iext(uri_owl_topDataProperty,X0,uri_ex_y),
    inference(resolution,[status(thm)],[f2658,f2515]) ).

fof(f2662,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f2405,f2661]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWB074+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue May 30 10:40:43 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.42  % Drodi V3.5.1
% 0.21/0.54  % Refutation found
% 0.21/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.54  % Elapsed time: 0.188031 seconds
% 0.21/0.54  % CPU time: 0.095162 seconds
% 0.21/0.54  % Memory used: 6.147 MB
%------------------------------------------------------------------------------