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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB012+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 : n001.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 03:03:44 PM UTC 2026

% Result   : Theorem 12.69s 6.06s
% Output   : Proof 12.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   63 (  20 unt;   0 def)
%            Number of atoms       :  289 (   0 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :  371 ( 145   ~; 140   |;  79   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-7 aty)
%            Number of variables   :  142 (  12 sgn  54   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f282,axiom,
    ! [Z,S1,C1,S2,C2,S3,C3] :
      ( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
        & iext(uri_rdf_first,S3,C3)
        & iext(uri_rdf_rest,S2,S3)
        & iext(uri_rdf_first,S2,C2)
        & iext(uri_rdf_rest,S1,S2)
        & iext(uri_rdf_first,S1,C1) )
     => ( iext(uri_owl_intersectionOf,Z,S1)
      <=> ( ! [X] :
              ( icext(Z,X)
            <=> ( icext(C3,X)
                & icext(C2,X)
                & icext(C1,X) ) )
          & ic(C3)
          & ic(C2)
          & ic(C1)
          & ic(Z) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).

fof(f282_nnf,plain,
    ! [Z,S1,C1,S2,C2,S3,C3] :
      ( ( ( ? [X] :
              ( ( icext(C3,X)
                & icext(C2,X)
                & icext(C1,X)
                & ~ icext(Z,X) )
              | ( ( ~ icext(C3,X)
                  | ~ icext(C2,X)
                  | ~ icext(C1,X) )
                & icext(Z,X) ) )
          | ~ ic(C3)
          | ~ ic(C2)
          | ~ ic(C1)
          | ~ ic(Z)
          | iext(uri_owl_intersectionOf,Z,S1) )
        & ( ( ! [X] :
                ( ( ~ icext(C3,X)
                  | ~ icext(C2,X)
                  | ~ icext(C1,X)
                  | icext(Z,X) )
                & ( ( icext(C3,X)
                    & icext(C2,X)
                    & icext(C1,X) )
                  | ~ icext(Z,X) ) )
            & ic(C3)
            & ic(C2)
            & ic(C1)
            & ic(Z) )
          | ~ iext(uri_owl_intersectionOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S3,C3)
      | ~ iext(uri_rdf_rest,S2,S3)
      | ~ iext(uri_rdf_first,S2,C2)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S1,C1) ),
    inference(nnf_transformation,[status(thm)],[f282]) ).

fof(f282_sk,plain,
    ! [S1,C1,S2,C2,S3,C3,Z,X] :
      ( ( ( ( icext(C3,sk4(Z,S1,C1,S2,C2,S3,C3))
            & icext(C2,sk4(Z,S1,C1,S2,C2,S3,C3))
            & icext(C1,sk4(Z,S1,C1,S2,C2,S3,C3))
            & ~ icext(Z,sk4(Z,S1,C1,S2,C2,S3,C3)) )
          | ( ( ~ icext(C3,sk4(Z,S1,C1,S2,C2,S3,C3))
              | ~ icext(C2,sk4(Z,S1,C1,S2,C2,S3,C3))
              | ~ icext(C1,sk4(Z,S1,C1,S2,C2,S3,C3)) )
            & icext(Z,sk4(Z,S1,C1,S2,C2,S3,C3)) )
          | ~ ic(C3)
          | ~ ic(C2)
          | ~ ic(C1)
          | ~ ic(Z)
          | iext(uri_owl_intersectionOf,Z,S1) )
        & ( ( ( ~ icext(C3,X)
              | ~ icext(C2,X)
              | ~ icext(C1,X)
              | icext(Z,X) )
            & ( ( icext(C3,X)
                & icext(C2,X)
                & icext(C1,X) )
              | ~ icext(Z,X) )
            & ic(C3)
            & ic(C2)
            & ic(C1)
            & ic(Z) )
          | ~ iext(uri_owl_intersectionOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S3,C3)
      | ~ iext(uri_rdf_rest,S2,S3)
      | ~ iext(uri_rdf_first,S2,C2)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S1,C1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f282_nnf]) ).

cnf(c406,plain,
    ( icext(X6,X7)
    | ~ icext(X0,X7)
    | ~ iext(uri_owl_intersectionOf,X0,X1)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X3,X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X1,X3)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f282_sk]) ).

fof(f559,axiom,
    ? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
      ( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
      & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
      & iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
      & iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
      & iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
      & iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l3,BNODE_r)
      & iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
      & iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
      & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
      & iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
      & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
      & iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).

fof(f559_nnf,plain,
    ? [BNODE_l1,BNODE_l2,BNODE_l3,BNODE_r] :
      ( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
      & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
      & iext(uri_owl_hasValue,BNODE_r,uri_foaf_Person)
      & iext(uri_owl_onProperty,BNODE_r,uri_rdfs_domain)
      & iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
      & iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l3,BNODE_r)
      & iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
      & iext(uri_rdf_first,BNODE_l2,uri_owl_FunctionalProperty)
      & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
      & iext(uri_rdf_first,BNODE_l1,uri_owl_DatatypeProperty)
      & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,BNODE_l1)
      & iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
    inference(nnf_transformation,[status(thm)],[f559]) ).

fof(f559_sk,plain,
    ( iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice))
    & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
    & iext(uri_owl_hasValue,sk202,uri_foaf_Person)
    & iext(uri_owl_onProperty,sk202,uri_rdfs_domain)
    & iext(uri_rdf_type,sk202,uri_owl_Restriction)
    & iext(uri_rdf_rest,sk201,uri_rdf_nil)
    & iext(uri_rdf_first,sk201,sk202)
    & iext(uri_rdf_rest,sk200,sk201)
    & iext(uri_rdf_first,sk200,uri_owl_FunctionalProperty)
    & iext(uri_rdf_rest,sk199,sk200)
    & iext(uri_rdf_first,sk199,uri_owl_DatatypeProperty)
    & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sk199)
    & iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk199,sk200,sk201,sk202])],[f559_nnf]) ).

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

cnf(p3361,plain,
    ( icext(X3,X5)
    | ~ icext(X4,X5)
    | ~ iext(uri_owl_intersectionOf,X4,sk199)
    | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X0,X2)
    | ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_rdf_rest,sk199,X0) ),
    inference(resolution,[status(thm)],[c406,c1409]) ).

cnf(c1410,plain,
    iext(uri_rdf_rest,sk199,sk200),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p3365,plain,
    ( icext(X2,X4)
    | ~ icext(X3,X4)
    | ~ iext(uri_owl_intersectionOf,X3,sk199)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,sk200,X1)
    | ~ iext(uri_rdf_first,sk200,X0) ),
    inference(resolution,[status(thm)],[p3361,c1410]) ).

cnf(c1411,plain,
    iext(uri_rdf_first,sk200,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p3366,plain,
    ( icext(X1,X3)
    | ~ icext(X2,X3)
    | ~ iext(uri_owl_intersectionOf,X2,sk199)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_rdf_rest,sk200,X0) ),
    inference(resolution,[status(thm)],[p3365,c1411]) ).

cnf(c1412,plain,
    iext(uri_rdf_rest,sk200,sk201),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p3367,plain,
    ( icext(X0,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_intersectionOf,X1,sk199)
    | ~ iext(uri_rdf_rest,sk201,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk201,X0) ),
    inference(resolution,[status(thm)],[p3366,c1412]) ).

cnf(c1413,plain,
    iext(uri_rdf_first,sk201,sk202),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p3368,plain,
    ( icext(sk202,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk199)
    | ~ iext(uri_rdf_rest,sk201,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[p3367,c1413]) ).

cnf(c1414,plain,
    iext(uri_rdf_rest,sk201,uri_rdf_nil),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p3369,plain,
    ( icext(sk202,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk199) ),
    inference(resolution,[status(thm)],[p3368,c1414]) ).

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

cnf(p3370,plain,
    ( icext(sk202,X0)
    | ~ icext(uri_ex_PersonAttribute,X0) ),
    inference(resolution,[status(thm)],[p3369,c1408]) ).

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(c1418,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p893,plain,
    icext(uri_ex_PersonAttribute,uri_ex_name),
    inference(resolution,[status(thm)],[c25,c1418]) ).

cnf(p3371,plain,
    icext(sk202,uri_ex_name),
    inference(resolution,[status(thm)],[p3370,p893]) ).

fof(f314,axiom,
    ! [Z,P,A] :
      ( ( iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_hasValue,Z,A) )
     => ! [X] :
          ( icext(Z,X)
        <=> iext(P,X,A) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).

fof(f314_nnf,plain,
    ! [Z,P,A] :
      ( ! [X] :
          ( ( ~ iext(P,X,A)
            | icext(Z,X) )
          & ( iext(P,X,A)
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_hasValue,Z,A) ),
    inference(nnf_transformation,[status(thm)],[f314]) ).

fof(f314_sk,plain,
    ! [Z,A,P,X] :
      ( ( ( ~ iext(P,X,A)
          | icext(Z,X) )
        & ( iext(P,X,A)
          | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_hasValue,Z,A) ),
    inference(skolemisation,[status(esa)],[f314_nnf]) ).

cnf(c644,plain,
    ( iext(X1,X3,X2)
    | ~ icext(X0,X3)
    | ~ iext(uri_owl_onProperty,X0,X1)
    | ~ iext(uri_owl_hasValue,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f314_sk]) ).

cnf(c1417,plain,
    iext(uri_owl_hasValue,sk202,uri_foaf_Person),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p2144,plain,
    ( iext(X0,X1,uri_foaf_Person)
    | ~ icext(sk202,X1)
    | ~ iext(uri_owl_onProperty,sk202,X0) ),
    inference(resolution,[status(thm)],[c644,c1417]) ).

cnf(c1416,plain,
    iext(uri_owl_onProperty,sk202,uri_rdfs_domain),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p2146,plain,
    ( iext(uri_rdfs_domain,X0,uri_foaf_Person)
    | ~ icext(sk202,X0) ),
    inference(resolution,[status(thm)],[p2144,c1416]) ).

cnf(p3375,plain,
    iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
    inference(resolution,[status(thm)],[p3371,p2146]) ).

fof(f51,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_domain,P,C) )
     => icext(C,X) ),
    file('/export/starexec/sandbox2/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(p3386,plain,
    ( icext(uri_foaf_Person,X0)
    | ~ iext(uri_ex_name,X0,X1) ),
    inference(resolution,[status(thm)],[p3375,c53]) ).

cnf(c1419,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p3387,plain,
    icext(uri_foaf_Person,uri_ex_alice),
    inference(resolution,[status(thm)],[p3386,c1419]) ).

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

cnf(p3389,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(resolution,[status(thm)],[p3387,c26]) ).

cnf(c405,plain,
    ( icext(X4,X7)
    | ~ icext(X0,X7)
    | ~ iext(uri_owl_intersectionOf,X0,X1)
    | ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X3,X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X1,X3)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f282_sk]) ).

cnf(p3308,plain,
    ( icext(X1,X5)
    | ~ icext(X4,X5)
    | ~ iext(uri_owl_intersectionOf,X4,sk199)
    | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X2,X3)
    | ~ iext(uri_rdf_rest,X0,X2)
    | ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_rdf_rest,sk199,X0) ),
    inference(resolution,[status(thm)],[c405,c1409]) ).

cnf(p3326,plain,
    ( icext(X0,X4)
    | ~ icext(X3,X4)
    | ~ iext(uri_owl_intersectionOf,X3,sk199)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,sk200,X1)
    | ~ iext(uri_rdf_first,sk200,X0) ),
    inference(resolution,[status(thm)],[p3308,c1410]) ).

cnf(p3327,plain,
    ( icext(uri_owl_FunctionalProperty,X3)
    | ~ icext(X2,X3)
    | ~ iext(uri_owl_intersectionOf,X2,sk199)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_rdf_rest,sk200,X0) ),
    inference(resolution,[status(thm)],[p3326,c1411]) ).

cnf(p3328,plain,
    ( icext(uri_owl_FunctionalProperty,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_intersectionOf,X1,sk199)
    | ~ iext(uri_rdf_rest,sk201,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk201,X0) ),
    inference(resolution,[status(thm)],[p3327,c1412]) ).

cnf(p3329,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk199)
    | ~ iext(uri_rdf_rest,sk201,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[p3328,c1413]) ).

cnf(p3330,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk199) ),
    inference(resolution,[status(thm)],[p3329,c1414]) ).

cnf(p3331,plain,
    ( icext(uri_owl_FunctionalProperty,X0)
    | ~ icext(uri_ex_PersonAttribute,X0) ),
    inference(resolution,[status(thm)],[p3330,c1408]) ).

cnf(p3332,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_name),
    inference(resolution,[status(thm)],[p3331,p893]) ).

cnf(p3335,plain,
    iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
    inference(resolution,[status(thm)],[p3332,c26]) ).

fof(f558,conjecture,
    ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
    & iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).

fof(f558_neg,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
      & iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
    inference(negated_conjecture,[status(cth)],[f558]) ).

fof(f558_nnf,plain,
    ( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
    | ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
    inference(nnf_transformation,[status(thm)],[f558_neg]) ).

fof(f558_sk,plain,
    ( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
    | ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
    inference(skolemisation,[status(esa)],[f558_nnf]) ).

cnf(c1406,plain,
    ( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
    | ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
    inference(cnf_transformation,[status(esa)],[f558_sk]) ).

cnf(p3347,plain,
    ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(resolution,[status(thm)],[p3335,c1406]) ).

cnf(p3390,plain,
    $false,
    inference(resolution,[status(thm)],[p3389,p3347]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB012+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.59  % Computer : n001.cluster.edu
% 0.12/0.59  % Model    : x86_64 x86_64
% 0.12/0.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59  % Memory   : 8046.5625MB
% 0.12/0.59  % OS       : Linux 6.8.0-71-generic
% 0.12/0.59  % CPULimit : 300
% 0.12/0.59  % WCLimit  : 300
% 0.12/0.59  % DateTime : Thu Sep 24 15:30:54 UTC 2026
% 0.12/0.59  % CPUTime  : 
% 0.12/0.59  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.69/6.06  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.69/6.06  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------