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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB001+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 02:36:59 PM UTC 2026

% Result   : Theorem 0.12s 0.39s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   5 unt;   2 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (   9   ~;   7   |;   5   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,conjecture,
    ( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f140,negated_conjecture,
    ~ ( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
      & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(negated_conjecture,[status(cth)],[f139]) ).

fof(f141,axiom,
    ( iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d)
    & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f514,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(pre_NNF_transformation,[status(thm)],[f140]) ).

fof(f515,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(cnf_transformation,[status(thm)],[f514]) ).

fof(f517,plain,
    iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
    inference(cnf_transformation,[status(thm)],[f141]) ).

fof(f518,plain,
    iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
    inference(cnf_transformation,[status(thm)],[f141]) ).

fof(f532,definition,
    ( sQ0_spl
  <=> iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f534,plain,
    ( sQ0_spl
    | ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(component_clause,[status(thm)],[f532]) ).

fof(f535,definition,
    ( sQ1_spl
  <=> iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f537,plain,
    ( sQ1_spl
    | ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
    inference(component_clause,[status(thm)],[f535]) ).

fof(f538,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f515,f532,f535]) ).

fof(f539,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f517,f534]) ).

fof(f540,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f539]) ).

fof(f541,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f518,f537]) ).

fof(f542,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f541]) ).

fof(f543,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f538,f540,f542]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB001+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n026.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep 21 07:39:09 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.37  % Drodi V4.1.1
% 0.12/0.39  % Refutation found
% 0.12/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41  % Elapsed time: 0.051771 seconds
% 0.12/0.41  % CPU time: 0.140771 seconds
% 0.12/0.41  % Total memory used: 26.768 MB
% 0.12/0.41  % Net memory used: 26.606 MB
%------------------------------------------------------------------------------