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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB007+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:37:02 PM UTC 2026

% Result   : Theorem 0.12s 0.53s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (  13 unt;   3 def)
%            Number of atoms       :   78 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   65 (  25   ~;  24   |;  11   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

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

fof(f354,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
      & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
      & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

fof(f595,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f593]) ).

fof(f1832,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f354]) ).

fof(f1833,plain,
    ( ! [X,Y] :
        ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
    & ! [X,Y] :
        ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(miniscoping,[status(thm)],[f1832]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1833]) ).

fof(f2405,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(pre_NNF_transformation,[status(thm)],[f560]) ).

fof(f2406,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(cnf_transformation,[status(thm)],[f2405]) ).

fof(f2407,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2408,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2409,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2410,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2518,definition,
    ( sQ1_spl
  <=> iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f2520,plain,
    ( sQ1_spl
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(component_clause,[status(thm)],[f2518]) ).

fof(f2521,definition,
    ( sQ2_spl
  <=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f2523,plain,
    ( sQ2_spl
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
    inference(component_clause,[status(thm)],[f2521]) ).

fof(f2524,definition,
    ( sQ3_spl
  <=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f2526,plain,
    ( sQ3_spl
    | ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
    inference(component_clause,[status(thm)],[f2524]) ).

fof(f2527,plain,
    ( ~ sQ3_spl
    | ~ sQ2_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f2406,f2518,f2521,f2524]) ).

fof(f2544,plain,
    icext(uri_ex_c1,uri_ex_w),
    inference(resolution,[status(thm)],[f594,f2408]) ).

fof(f4766,plain,
    uri_ex_c1 = uri_ex_c2,
    inference(resolution,[status(thm)],[f1834,f2407]) ).

fof(f4775,plain,
    icext(uri_ex_c2,uri_ex_w),
    inference(backward_demodulation,[status(thm)],[f4766,f2544]) ).

fof(f4777,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(backward_demodulation,[status(thm)],[f4766,f2410]) ).

fof(f4778,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(backward_demodulation,[status(thm)],[f4766,f2409]) ).

fof(f4781,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4777,f2526]) ).

fof(f4782,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f4781]) ).

fof(f4783,plain,
    ( sQ1_spl
    | ~ icext(uri_ex_c2,uri_ex_w) ),
    inference(resolution,[status(thm)],[f2520,f595]) ).

fof(f4803,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4775,f4783]) ).

fof(f4804,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f4803]) ).

fof(f4805,plain,
    ( sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2523,f4778]) ).

fof(f4806,plain,
    sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f4805]) ).

fof(f4807,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2527,f4782,f4804,f4806]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB007+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n013.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 07:37:07 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.40  % Drodi V4.1.1
% 0.12/0.53  % Refutation found
% 0.12/0.53  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.54  % Elapsed time: 0.184491 seconds
% 0.32/0.54  % CPU time: 0.945526 seconds
% 0.32/0.54  % Total memory used: 147.210 MB
% 0.32/0.54  % Net memory used: 145.725 MB
%------------------------------------------------------------------------------