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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB004+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n007.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 03:03:40 PM UTC 2026

% Result   : Theorem 2.97s 0.81s
% Output   : Proof 2.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   91 (  25 unt;   0 def)
%            Number of atoms       :  263 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  278 ( 106   ~; 120   |;  42   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   69 (   3 sgn  42   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
          <=> icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f12_nnf,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( ( icext(C2,X)
              & ~ icext(C1,X) )
            | ( ~ icext(C2,X)
              & icext(C1,X) ) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_equivalentClass,C1,C2) )
      & ( ( ! [X] :
              ( ( ~ icext(C2,X)
                | icext(C1,X) )
              & ( icext(C2,X)
                | ~ icext(C1,X) ) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [C1,C2,X] :
      ( ( ( icext(C2,sk1(C1,C2))
          & ~ icext(C1,sk1(C1,C2)) )
        | ( ~ icext(C2,sk1(C1,C2))
          & icext(C1,sk1(C1,C2)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_equivalentClass,C1,C2) )
      & ( ( ( ~ icext(C2,X)
            | icext(C1,X) )
          & ( icext(C2,X)
            | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f12_nnf]) ).

cnf(c27,plain,
    ( ~ icext(X0,sk1(X0,X1))
    | ~ icext(X1,sk1(X0,X1))
    | ~ ic(X1)
    | ~ ic(X0)
    | iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

fof(f3,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_type) ).

fof(f3_nnf,plain,
    ic(uri_owl_Class),
    inference(nnf_transformation,[status(thm)],[f3]) ).

cnf(c4,plain,
    ic(uri_owl_Class),
    inference(cnf_transformation,[status(esa)],[f3_nnf]) ).

cnf(p94,plain,
    ( ~ icext(uri_owl_Class,sk1(uri_owl_Class,X0))
    | ~ icext(X0,sk1(uri_owl_Class,X0))
    | ~ ic(X0)
    | iext(uri_owl_equivalentClass,uri_owl_Class,X0) ),
    inference(resolution,[status(thm)],[c27,c4]) ).

fof(f5,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

fof(f5_nnf,plain,
    ic(uri_rdfs_Class),
    inference(nnf_transformation,[status(thm)],[f5]) ).

cnf(c7,plain,
    ic(uri_rdfs_Class),
    inference(cnf_transformation,[status(esa)],[f5_nnf]) ).

cnf(p360,plain,
    ( ~ icext(uri_owl_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_rdfs_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p94,c7]) ).

cnf(c26,plain,
    ( icext(X1,sk1(X0,X1))
    | icext(X0,sk1(X0,X1))
    | ~ ic(X1)
    | ~ ic(X0)
    | iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p84,plain,
    ( icext(X0,sk1(uri_owl_Class,X0))
    | icext(uri_owl_Class,sk1(uri_owl_Class,X0))
    | ~ ic(X0)
    | iext(uri_owl_equivalentClass,uri_owl_Class,X0) ),
    inference(resolution,[status(thm)],[c26,c4]) ).

cnf(p315,plain,
    ( icext(uri_rdfs_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p84,c7]) ).

fof(f6,axiom,
    ! [X] :
      ( icext(uri_rdfs_Class,X)
    <=> ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

fof(f6_nnf,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_rdfs_Class,X) )
      & ( ic(X)
        | ~ icext(uri_rdfs_Class,X) ) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_rdfs_Class,X) )
      & ( ic(X)
        | ~ icext(uri_rdfs_Class,X) ) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c8,plain,
    ( ic(X0)
    | ~ icext(uri_rdfs_Class,X0) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p553,plain,
    ( ic(sk1(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p315,c8]) ).

fof(f4,axiom,
    ! [X] :
      ( icext(uri_owl_Class,X)
    <=> ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

fof(f4_nnf,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_owl_Class,X) )
      & ( ic(X)
        | ~ icext(uri_owl_Class,X) ) ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [X] :
      ( ( ~ ic(X)
        | icext(uri_owl_Class,X) )
      & ( ic(X)
        | ~ icext(uri_owl_Class,X) ) ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c5,plain,
    ( ic(X0)
    | ~ icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(p555,plain,
    ( ic(sk1(uri_owl_Class,uri_rdfs_Class))
    | ic(sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p553,c5]) ).

cnf(p559,plain,
    ( ic(sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(factoring,[status(thm)],[p555]) ).

cnf(c9,plain,
    ( ~ ic(X0)
    | icext(uri_rdfs_Class,X0) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p561,plain,
    ( icext(uri_rdfs_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p559,c9]) ).

cnf(p812,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ icext(uri_owl_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p360,p561]) ).

cnf(p813,plain,
    ( ~ icext(uri_owl_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(factoring,[status(thm)],[p812]) ).

cnf(c6,plain,
    ( ~ ic(X0)
    | icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(p560,plain,
    ( icext(uri_owl_Class,sk1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p559,c6]) ).

cnf(p815,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p813,p560]) ).

cnf(p816,plain,
    iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(factoring,[status(thm)],[p815]) ).

fof(f13,conjecture,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

fof(f13_neg,negated_conjecture,
    ~ ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
      & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
      & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f13_nnf,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(nnf_transformation,[status(thm)],[f13_neg]) ).

fof(f13_sk,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c29,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

fof(f10,axiom,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f10_nnf,plain,
    ! [X] :
      ( ( ~ ir(X)
        | icext(uri_owl_Thing,X) )
      & ( ir(X)
        | ~ icext(uri_owl_Thing,X) ) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [X] :
      ( ( ~ ir(X)
        | icext(uri_owl_Thing,X) )
      & ( ir(X)
        | ~ icext(uri_owl_Thing,X) ) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c15,plain,
    ( ~ ir(X0)
    | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

fof(f0,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f0_nnf,plain,
    ! [X] : ir(X),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X] : ir(X),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ir(X0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p46,plain,
    icext(uri_owl_Thing,X0),
    inference(resolution,[status(thm)],[c15,c0]) ).

fof(f1,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f1_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)],[f1]) ).

fof(f1_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)],[f1_nnf]) ).

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

cnf(p47,plain,
    iext(uri_rdf_type,X0,uri_owl_Thing),
    inference(resolution,[status(thm)],[p46,c2]) ).

cnf(p116,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(resolution,[status(thm)],[c29,p47]) ).

cnf(p30,plain,
    icext(uri_owl_Class,uri_owl_Class),
    inference(resolution,[status(thm)],[c6,c4]) ).

cnf(p34,plain,
    iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference(resolution,[status(thm)],[p30,c2]) ).

cnf(p403,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[p116,p34]) ).

fof(f11,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
           => icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f11_nnf,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [C1,C2,X] :
      ( ( ( ~ icext(C2,sk0(C1,C2))
          & icext(C1,sk0(C1,C2)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ( ( icext(C2,X)
            | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f11_nnf]) ).

cnf(c20,plain,
    ( ~ icext(X1,sk0(X0,X1))
    | ~ ic(X1)
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(p58,plain,
    ( ~ icext(X0,sk0(uri_owl_Class,X0))
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,uri_owl_Class,X0) ),
    inference(resolution,[status(thm)],[c20,c4]) ).

fof(f9,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).

fof(f9_nnf,plain,
    ic(uri_owl_Thing),
    inference(nnf_transformation,[status(thm)],[f9]) ).

cnf(c13,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[status(esa)],[f9_nnf]) ).

cnf(p218,plain,
    ( ~ icext(uri_owl_Thing,sk0(uri_owl_Class,uri_owl_Thing))
    | iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    inference(resolution,[status(thm)],[p58,c13]) ).

cnf(p342,plain,
    iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference(resolution,[status(thm)],[p218,p46]) ).

cnf(p551,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(resolution,[status(thm)],[p403,p342]) ).

cnf(p817,plain,
    ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(resolution,[status(thm)],[p816,p551]) ).

fof(f7,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_type) ).

fof(f7_nnf,plain,
    ic(uri_rdfs_Datatype),
    inference(nnf_transformation,[status(thm)],[f7]) ).

cnf(c10,plain,
    ic(uri_rdfs_Datatype),
    inference(cnf_transformation,[status(esa)],[f7_nnf]) ).

cnf(p60,plain,
    ( ~ icext(X0,sk0(uri_rdfs_Datatype,X0))
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0) ),
    inference(resolution,[status(thm)],[c20,c10]) ).

cnf(p276,plain,
    ( ~ icext(uri_owl_Class,sk0(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolution,[status(thm)],[p60,c4]) ).

cnf(c19,plain,
    ( icext(X0,sk0(X0,X1))
    | ~ ic(X1)
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(p51,plain,
    ( icext(uri_rdfs_Datatype,sk0(uri_rdfs_Datatype,X0))
    | ~ ic(X0)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0) ),
    inference(resolution,[status(thm)],[c19,c10]) ).

cnf(p149,plain,
    ( icext(uri_rdfs_Datatype,sk0(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolution,[status(thm)],[p51,c4]) ).

fof(f8,axiom,
    ! [X] :
      ( icext(uri_rdfs_Datatype,X)
    <=> idc(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

fof(f8_nnf,plain,
    ! [X] :
      ( ( ~ idc(X)
        | icext(uri_rdfs_Datatype,X) )
      & ( idc(X)
        | ~ icext(uri_rdfs_Datatype,X) ) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] :
      ( ( ~ idc(X)
        | icext(uri_rdfs_Datatype,X) )
      & ( idc(X)
        | ~ icext(uri_rdfs_Datatype,X) ) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c11,plain,
    ( idc(X0)
    | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p203,plain,
    ( idc(sk0(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolution,[status(thm)],[p149,c11]) ).

fof(f2,axiom,
    ! [X] :
      ( idc(X)
     => ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

fof(f2_nnf,plain,
    ! [X] :
      ( ic(X)
      | ~ idc(X) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [X] :
      ( ic(X)
      | ~ idc(X) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c3,plain,
    ( ic(X0)
    | ~ idc(X0) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p204,plain,
    ( ic(sk0(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolution,[status(thm)],[p203,c3]) ).

cnf(p205,plain,
    ( icext(uri_owl_Class,sk0(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolution,[status(thm)],[p204,c6]) ).

cnf(p381,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolution,[status(thm)],[p276,p205]) ).

cnf(p382,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(factoring,[status(thm)],[p381]) ).

cnf(p818,plain,
    $false,
    inference(resolution,[status(thm)],[p817,p382]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB004+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36  % Computer : n007.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Thu Sep 24 15:17:52 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.97/0.81  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.97/0.81  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------