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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB018+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 : n019.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 03:03:47 PM UTC 2026

% Result   : Theorem 22.40s 5.02s
% Output   : Proof 22.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   54 (   6 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   49 (  21   ~;  17   |;   8   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 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   :   37 (   4 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f559,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',testcase_premise_fullish_018_Modified_Lo_h861924e52b9ae588) ).

fof(f559_nnf,plain,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    inference(nnf_transformation,[status(thm)],[f559]) ).

fof(f559_sk,plain,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    inference(skolemisation,[status(esa)],[f559_nnf]) ).

cnf(c1407,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

fof(f51,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',rdfs_domain_main) ).

fof(f51_nnf,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(nnf_transformation,[status(thm)],[f51]) ).

fof(f51_sk,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(skolemisation,[status(esa)],[f51_nnf]) ).

cnf(c53,plain,
    ( icext(X1,X2)
    | ~ iext(X0,X2,X3)
    | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f51_sk]) ).

cnf(p519,plain,
    ( icext(uri_ex_Person,X0)
    | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(resolution,[status(thm)],[c1407,c53]) ).

fof(f353,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f353_nnf,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f353]) ).

fof(f353_sk,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(skolemisation,[status(esa)],[f353_nnf]) ).

cnf(c1048,plain,
    ( X0 != X1
    | iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f353_sk]) ).

cnf(p545,plain,
    iext(uri_owl_sameAs,X0,X0),
    inference(equality_resolution,[status(thm)],[c1048]) ).

cnf(p546,plain,
    icext(uri_ex_Person,X0),
    inference(resolution,[status(thm)],[p519,p545]) ).

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(p547,plain,
    iext(uri_rdf_type,X0,uri_ex_Person),
    inference(resolution,[status(thm)],[p546,c26]) ).

fof(f558,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_hcf4adf78258c2fe4) ).

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

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

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

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

cnf(p548,plain,
    $false,
    inference(resolution,[status(thm)],[p547,c1406]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB018+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.43  % Computer : n019.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Thu Sep 24 15:29:34 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.40/5.02  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.40/5.02  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------