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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n010.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 4.70s 6.13s
% Output   : Proof 4.70s
% 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(f2,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(f2_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)],[f2]) ).

fof(f2_sk,plain,
    ! [S1,C1,S2,C2,S3,C3,Z,X] :
      ( ( ( ( icext(C3,sk0(Z,S1,C1,S2,C2,S3,C3))
            & icext(C2,sk0(Z,S1,C1,S2,C2,S3,C3))
            & icext(C1,sk0(Z,S1,C1,S2,C2,S3,C3))
            & ~ icext(Z,sk0(Z,S1,C1,S2,C2,S3,C3)) )
          | ( ( ~ icext(C3,sk0(Z,S1,C1,S2,C2,S3,C3))
              | ~ icext(C2,sk0(Z,S1,C1,S2,C2,S3,C3))
              | ~ icext(C1,sk0(Z,S1,C1,S2,C2,S3,C3)) )
            & icext(Z,sk0(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,[sk0])],[f2_nnf]) ).

cnf(c9,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)],[f2_sk]) ).

fof(f5,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(f5_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)],[f5]) ).

fof(f5_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,sk4,uri_foaf_Person)
    & iext(uri_owl_onProperty,sk4,uri_rdfs_domain)
    & iext(uri_rdf_type,sk4,uri_owl_Restriction)
    & iext(uri_rdf_rest,sk3,uri_rdf_nil)
    & iext(uri_rdf_first,sk3,sk4)
    & iext(uri_rdf_rest,sk2,sk3)
    & iext(uri_rdf_first,sk2,uri_owl_FunctionalProperty)
    & iext(uri_rdf_rest,sk1,sk2)
    & iext(uri_rdf_first,sk1,uri_owl_DatatypeProperty)
    & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sk1)
    & iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4])],[f5_nnf]) ).

cnf(c24,plain,
    iext(uri_rdf_first,sk1,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p310,plain,
    ( icext(X3,X5)
    | ~ icext(X4,X5)
    | ~ iext(uri_owl_intersectionOf,X4,sk1)
    | ~ 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,sk1,X0) ),
    inference(resolution,[status(thm)],[c9,c24]) ).

cnf(c25,plain,
    iext(uri_rdf_rest,sk1,sk2),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p316,plain,
    ( icext(X2,X4)
    | ~ icext(X3,X4)
    | ~ iext(uri_owl_intersectionOf,X3,sk1)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,sk2,X1)
    | ~ iext(uri_rdf_first,sk2,X0) ),
    inference(resolution,[status(thm)],[p310,c25]) ).

cnf(c26,plain,
    iext(uri_rdf_first,sk2,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p317,plain,
    ( icext(X1,X3)
    | ~ icext(X2,X3)
    | ~ iext(uri_owl_intersectionOf,X2,sk1)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_rdf_rest,sk2,X0) ),
    inference(resolution,[status(thm)],[p316,c26]) ).

cnf(c27,plain,
    iext(uri_rdf_rest,sk2,sk3),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p318,plain,
    ( icext(X0,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_intersectionOf,X1,sk1)
    | ~ iext(uri_rdf_rest,sk3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk3,X0) ),
    inference(resolution,[status(thm)],[p317,c27]) ).

cnf(c28,plain,
    iext(uri_rdf_first,sk3,sk4),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p319,plain,
    ( icext(sk4,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk1)
    | ~ iext(uri_rdf_rest,sk3,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[p318,c28]) ).

cnf(c29,plain,
    iext(uri_rdf_rest,sk3,uri_rdf_nil),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p320,plain,
    ( icext(sk4,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk1) ),
    inference(resolution,[status(thm)],[p319,c29]) ).

cnf(c23,plain,
    iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sk1),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p321,plain,
    ( icext(sk4,X0)
    | ~ icext(uri_ex_PersonAttribute,X0) ),
    inference(resolution,[status(thm)],[p320,c23]) ).

fof(f0,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f0_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)],[f0]) ).

fof(f0_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)],[f0_nnf]) ).

cnf(c0,plain,
    ( icext(X1,X0)
    | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(c33,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p37,plain,
    icext(uri_ex_PersonAttribute,uri_ex_name),
    inference(resolution,[status(thm)],[c0,c33]) ).

cnf(p322,plain,
    icext(sk4,uri_ex_name),
    inference(resolution,[status(thm)],[p321,p37]) ).

fof(f3,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(f3_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)],[f3]) ).

fof(f3_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)],[f3_nnf]) ).

cnf(c19,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)],[f3_sk]) ).

cnf(c32,plain,
    iext(uri_owl_hasValue,sk4,uri_foaf_Person),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p39,plain,
    ( iext(X0,X1,uri_foaf_Person)
    | ~ icext(sk4,X1)
    | ~ iext(uri_owl_onProperty,sk4,X0) ),
    inference(resolution,[status(thm)],[c19,c32]) ).

cnf(c31,plain,
    iext(uri_owl_onProperty,sk4,uri_rdfs_domain),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p40,plain,
    ( iext(uri_rdfs_domain,X0,uri_foaf_Person)
    | ~ icext(sk4,X0) ),
    inference(resolution,[status(thm)],[p39,c31]) ).

cnf(p324,plain,
    iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
    inference(resolution,[status(thm)],[p322,p40]) ).

fof(f1,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(f1_nnf,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c2,plain,
    ( icext(X1,X2)
    | ~ iext(X0,X2,X3)
    | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p325,plain,
    ( icext(uri_foaf_Person,X0)
    | ~ iext(uri_ex_name,X0,X1) ),
    inference(resolution,[status(thm)],[p324,c2]) ).

cnf(c34,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p326,plain,
    icext(uri_foaf_Person,uri_ex_alice),
    inference(resolution,[status(thm)],[p325,c34]) ).

cnf(c1,plain,
    ( ~ icext(X1,X0)
    | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p327,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(resolution,[status(thm)],[p326,c1]) ).

cnf(c8,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)],[f2_sk]) ).

cnf(p269,plain,
    ( icext(X1,X5)
    | ~ icext(X4,X5)
    | ~ iext(uri_owl_intersectionOf,X4,sk1)
    | ~ 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,sk1,X0) ),
    inference(resolution,[status(thm)],[c8,c24]) ).

cnf(p296,plain,
    ( icext(X0,X4)
    | ~ icext(X3,X4)
    | ~ iext(uri_owl_intersectionOf,X3,sk1)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,sk2,X1)
    | ~ iext(uri_rdf_first,sk2,X0) ),
    inference(resolution,[status(thm)],[p269,c25]) ).

cnf(p297,plain,
    ( icext(uri_owl_FunctionalProperty,X3)
    | ~ icext(X2,X3)
    | ~ iext(uri_owl_intersectionOf,X2,sk1)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_rdf_rest,sk2,X0) ),
    inference(resolution,[status(thm)],[p296,c26]) ).

cnf(p298,plain,
    ( icext(uri_owl_FunctionalProperty,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_intersectionOf,X1,sk1)
    | ~ iext(uri_rdf_rest,sk3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk3,X0) ),
    inference(resolution,[status(thm)],[p297,c27]) ).

cnf(p299,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk1)
    | ~ iext(uri_rdf_rest,sk3,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[p298,c28]) ).

cnf(p300,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X0,X1)
    | ~ iext(uri_owl_intersectionOf,X0,sk1) ),
    inference(resolution,[status(thm)],[p299,c29]) ).

cnf(p301,plain,
    ( icext(uri_owl_FunctionalProperty,X0)
    | ~ icext(uri_ex_PersonAttribute,X0) ),
    inference(resolution,[status(thm)],[p300,c23]) ).

cnf(p302,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_name),
    inference(resolution,[status(thm)],[p301,p37]) ).

cnf(p303,plain,
    iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
    inference(resolution,[status(thm)],[p302,c1]) ).

fof(f4,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(f4_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)],[f4]) ).

fof(f4_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)],[f4_neg]) ).

fof(f4_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)],[f4_nnf]) ).

cnf(c21,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)],[f4_sk]) ).

cnf(p304,plain,
    ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(resolution,[status(thm)],[p303,c21]) ).

cnf(p328,plain,
    $false,
    inference(resolution,[status(thm)],[p327,p304]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.38  % Computer : n010.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Thu Sep 24 15:25:48 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.38  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.70/6.13  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.70/6.13  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------