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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB074+1 : 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 02:37:18 PM UTC 2026

% Result   : Theorem 0.10s 0.43s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   57 (  24   ~;  20   |;  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   :   31 (  31   !;   0   ?)

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

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

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

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

fof(f559,conjecture,
    iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    file('/export/starexec/sandbox/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_x,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

fof(f2532,plain,
    ! [X0,X1] :
      ( ~ lv(X1)
      | iext(uri_owl_topDataProperty,X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f1062,f565]) ).

fof(f2535,plain,
    ! [X0,X1] :
      ( iext(uri_owl_topDataProperty,X1,X0)
      | ~ icext(uri_rdfs_Literal,X0) ),
    inference(resolution,[status(thm)],[f640,f2532]) ).

fof(f2536,plain,
    ~ icext(uri_rdfs_Literal,uri_ex_y),
    inference(resolution,[status(thm)],[f2535,f2405]) ).

fof(f2541,plain,
    ~ iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
    inference(resolution,[status(thm)],[f2536,f594]) ).

fof(f2542,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2541,f2406]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB074+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n011.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 07:44:40 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.40  % Drodi V4.1.1
% 0.10/0.43  % Refutation found
% 0.10/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.47  % Elapsed time: 0.102810 seconds
% 0.10/0.47  % CPU time: 0.217533 seconds
% 0.10/0.47  % Total memory used: 98.326 MB
% 0.10/0.47  % Net memory used: 97.962 MB
%------------------------------------------------------------------------------