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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB065+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n006.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 03:03:57 PM UTC 2026

% Result   : Theorem 18.00s 17.88s
% Output   : Proof 18.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   98 (  20 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  107 (  41   ~;  36   |;  25   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   43 (   0 sgn  24   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f294,axiom,
    ! [Z,S1,A1] :
      ( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
        & iext(uri_rdf_first,S1,A1) )
     => ( iext(uri_owl_oneOf,Z,S1)
      <=> ( ! [X] :
              ( icext(Z,X)
            <=> X = A1 )
          & ic(Z) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f294_nnf,plain,
    ! [Z,S1,A1] :
      ( ( ( ? [X] :
              ( ( X = A1
                & ~ icext(Z,X) )
              | ( X != A1
                & icext(Z,X) ) )
          | ~ ic(Z)
          | iext(uri_owl_oneOf,Z,S1) )
        & ( ( ! [X] :
                ( ( X != A1
                  | icext(Z,X) )
                & ( X = A1
                  | ~ icext(Z,X) ) )
            & ic(Z) )
          | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(nnf_transformation,[status(thm)],[f294]) ).

fof(f294_sk,plain,
    ! [S1,A1,Z,X] :
      ( ( ( ( sk10(Z,S1,A1) = A1
            & ~ icext(Z,sk10(Z,S1,A1)) )
          | ( sk10(Z,S1,A1) != A1
            & icext(Z,sk10(Z,S1,A1)) )
          | ~ ic(Z)
          | iext(uri_owl_oneOf,Z,S1) )
        & ( ( ( X != A1
              | icext(Z,X) )
            & ( X = A1
              | ~ icext(Z,X) )
            & ic(Z) )
          | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk10])],[f294_nnf]) ).

cnf(c465,plain,
    ( X3 = X2
    | ~ icext(X0,X3)
    | ~ iext(uri_owl_oneOf,X0,X1)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f294_sk]) ).

fof(f559,axiom,
    ? [X0,X1] :
      ( iext(uri_rdf_type,uri_ex_w,X1)
      & iext(uri_owl_oneOf,X1,X0)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_u) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_sameas_ext) ).

fof(f559_nnf,plain,
    ? [X0,X1] :
      ( iext(uri_rdf_type,uri_ex_w,X1)
      & iext(uri_owl_oneOf,X1,X0)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_u) ),
    inference(nnf_transformation,[status(thm)],[f559]) ).

fof(f559_sk,plain,
    ( iext(uri_rdf_type,uri_ex_w,sk200)
    & iext(uri_owl_oneOf,sk200,sk199)
    & iext(uri_rdf_rest,sk199,uri_rdf_nil)
    & iext(uri_rdf_first,sk199,uri_ex_u) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk199,sk200])],[f559_nnf]) ).

cnf(c1407,plain,
    iext(uri_rdf_first,sk199,uri_ex_u),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p813,plain,
    ( X1 = uri_ex_u
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_oneOf,X0,sk199)
    | ~ iext(uri_rdf_rest,sk199,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[c465,c1407]) ).

cnf(c1408,plain,
    iext(uri_rdf_rest,sk199,uri_rdf_nil),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p1298,plain,
    ( X1 = uri_ex_u
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_oneOf,X0,sk199) ),
    inference(resolution,[status(thm)],[p813,c1408]) ).

cnf(c1409,plain,
    iext(uri_owl_oneOf,sk200,sk199),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p1299,plain,
    ( X0 = uri_ex_u
    | ~ icext(sk200,X0) ),
    inference(resolution,[status(thm)],[p1298,c1409]) ).

cnf(c1410,plain,
    iext(uri_rdf_type,uri_ex_w,sk200),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

fof(f24,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/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(c25,plain,
    ( icext(X1,X0)
    | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p523,plain,
    icext(sk200,uri_ex_w),
    inference(resolution,[status(thm)],[c1410,c25]) ).

cnf(p1300,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[status(thm)],[p1299,p523]) ).

fof(f558,conjecture,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_sameas_ext) ).

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

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

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

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

cnf(p1303,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
    inference(superposition,[status(thm)],[p1300,c1406]) ).

fof(f353,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox2/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(p550,plain,
    iext(uri_owl_sameAs,X0,X0),
    inference(equality_resolution,[status(thm)],[c1048]) ).

cnf(p1309,plain,
    $false,
    inference(resolution,[status(thm)],[p1303,p550]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB065+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/15.39  % Computer : n006.cluster.edu
% 0.10/15.39  % Model    : x86_64 x86_64
% 0.10/15.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39  % Memory   : 8046.5625MB
% 0.10/15.39  % OS       : Linux 6.8.0-71-generic
% 0.10/15.40  % CPULimit : 300
% 0.10/15.40  % WCLimit  : 300
% 0.10/15.40  % DateTime : Thu Sep 24 15:44:13 UTC 2026
% 0.14/15.40  % CPUTime  : 
% 0.14/15.40  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 18.00/17.88  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.00/17.88  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------