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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB087+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n002.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 : Fri Sep 25 03:03:59 PM UTC 2026

% Result   : Theorem 30.67s 4.38s
% Output   : Proof 30.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (  11 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   56 (  23   ~;  19   |;  11   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   27 (   1 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f313,axiom,
    ! [Z,P,V] :
      ( ( iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_hasSelf,Z,V) )
     => ! [X] :
          ( icext(Z,X)
        <=> iext(P,X,X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).

fof(f313_nnf,plain,
    ! [Z,P,V] :
      ( ! [X] :
          ( ( ~ iext(P,X,X)
            | icext(Z,X) )
          & ( iext(P,X,X)
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_hasSelf,Z,V) ),
    inference(nnf_transformation,[status(thm)],[f313]) ).

fof(f313_sk,plain,
    ! [Z,V,P,X] :
      ( ( ( ~ iext(P,X,X)
          | icext(Z,X) )
        & ( iext(P,X,X)
          | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_hasSelf,Z,V) ),
    inference(skolemisation,[status(esa)],[f313_nnf]) ).

cnf(c643,plain,
    ( ~ iext(X1,X3,X3)
    | icext(X0,X3)
    | ~ iext(uri_owl_onProperty,X0,X1)
    | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f313_sk]) ).

fof(f559,axiom,
    ( iext(uri_ex_p,uri_ex_w,uri_ex_w)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_hasself_inst_subj) ).

fof(f559_nnf,plain,
    ( iext(uri_ex_p,uri_ex_w,uri_ex_w)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(nnf_transformation,[status(thm)],[f559]) ).

fof(f559_sk,plain,
    ( iext(uri_ex_p,uri_ex_w,uri_ex_w)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(skolemisation,[status(esa)],[f559_nnf]) ).

cnf(c1407,plain,
    iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p1886,plain,
    ( ~ iext(X0,X1,X1)
    | icext(uri_ex_z,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z,X0) ),
    inference(resolution,[status(thm)],[c643,c1407]) ).

cnf(c1408,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p1889,plain,
    ( ~ iext(uri_ex_p,X0,X0)
    | icext(uri_ex_z,X0) ),
    inference(resolution,[status(thm)],[p1886,c1408]) ).

cnf(c1409,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_w),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p1890,plain,
    icext(uri_ex_z,uri_ex_w),
    inference(resolution,[status(thm)],[p1889,c1409]) ).

fof(f24,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f24_nnf,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)],[f24]) ).

fof(f24_sk,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c26,plain,
    ( ~ icext(X1,X0)
    | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p1892,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(resolution,[status(thm)],[p1890,c26]) ).

fof(f558,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_hasself_inst_subj) ).

fof(f558_neg,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(negated_conjecture,[status(cth)],[f558]) ).

fof(f558_nnf,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(nnf_transformation,[status(thm)],[f558_neg]) ).

fof(f558_sk,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(skolemisation,[status(esa)],[f558_nnf]) ).

cnf(c1406,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[status(esa)],[f558_sk]) ).

cnf(p1893,plain,
    $false,
    inference(resolution,[status(thm)],[p1892,c1406]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB087+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n002.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 : Thu Sep 24 15:49:36 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 30.67/4.38  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.67/4.38  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------