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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 02:37:07 PM UTC 2026

% Result   : Theorem 0.09s 0.40s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   48 (   6 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (  19   ~;  17   |;   6   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_domain,P,C) )
     => icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,axiom,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,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)],[f1]) ).

fof(f8,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)],[f7]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f11,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f12,plain,
    ! [C,X] :
      ( icext(C,X)
      | ! [P] :
          ( ! [Y] : ~ iext(P,X,Y)
          | ~ iext(uri_rdfs_domain,P,C) ) ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f14,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f3]) ).

fof(f15,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)],[f14]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( X0 != X1
      | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f18,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f19,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f21,plain,
    ! [X0] : iext(uri_owl_sameAs,X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f17]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( icext(uri_ex_Person,X0)
      | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(resolution,[status(thm)],[f13,f19]) ).

fof(f23,plain,
    ! [X0] : icext(uri_ex_Person,X0),
    inference(resolution,[status(thm)],[f21,f22]) ).

fof(f24,plain,
    ! [X0] : iext(uri_rdf_type,X0,uri_ex_Person),
    inference(resolution,[status(thm)],[f23,f10]) ).

fof(f26,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f18,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n011.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 07:39:56 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.40  % Refutation found
% 0.09/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42  % Elapsed time: 0.047737 seconds
% 0.09/0.42  % CPU time: 0.138420 seconds
% 0.09/0.42  % Total memory used: 43.988 MB
% 0.09/0.42  % Net memory used: 43.397 MB
%------------------------------------------------------------------------------