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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB004+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% 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 : Tue Sep 29 12:59:57 PM UTC 2026

% Result   : Theorem 2.89s 1.32s
% Output   : Refutation 3.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   93 (  18 unt;   0 def)
%            Number of atoms       :  362 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  447 ( 178   ~; 180   |;  75   &)
%                                         (  11 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  124 ( 112   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f78,axiom,
    iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_range) ).

fof(f85,axiom,
    ! [X0] :
      ( idc(X0)
     => ic(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

fof(f119,axiom,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

fof(f120,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_type) ).

fof(f121,axiom,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
    <=> ic(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

fof(f122,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

fof(f125,axiom,
    ! [X0] :
      ( icext(uri_rdfs_Datatype,X0)
    <=> idc(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

fof(f126,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_type) ).

fof(f163,axiom,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f164,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).

fof(f342,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_range) ).

fof(f343,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f351,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f559,conjecture,
    ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    & iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

fof(f560,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
      & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
      & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
      & iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f570,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f573,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( icext(X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f342]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f562]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f587]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f588]) ).

fof(f590,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ~ icext(X1,sK0(X0,X1))
          & icext(X0,sK0(X0,X1)) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) ) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f589]) ).

fof(f591,plain,
    ! [X0] :
      ( ( icext(uri_rdfs_Datatype,X0)
        | ~ idc(X0) )
      & ( idc(X0)
        | ~ icext(uri_rdfs_Datatype,X0) ) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f593,plain,
    ! [X0] :
      ( ( icext(uri_rdfs_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_rdfs_Class,X0) ) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f596,plain,
    ! [X0] :
      ( ( icext(uri_owl_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f597,plain,
    ! [X0] :
      ( ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) ) ),
    inference(nnf_transformation,[],[f163]) ).

fof(f598,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(nnf_transformation,[],[f351]) ).

fof(f599,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(flattening,[],[f598]) ).

fof(f600,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(rectify,[],[f599]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ( ~ icext(X1,sK1(X0,X1))
            | ~ icext(X0,sK1(X0,X1)) )
          & ( icext(X1,sK1(X0,X1))
            | icext(X0,sK1(X0,X1)) ) ) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) ) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f600]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f573]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(flattening,[],[f608]) ).

fof(f610,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) ) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(rectify,[],[f609]) ).

fof(f611,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ( ~ icext(X1,sK3(X0,X1))
          & iext(X0,sK2(X0,X1),sK3(X0,X1)) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) ) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f610]) ).

fof(f620,plain,
    ( ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(cnf_transformation,[],[f561]) ).

fof(f622,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( icext(X0,sK0(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f590]) ).

fof(f627,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK0(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f590]) ).

fof(f634,plain,
    ic(uri_rdfs_Datatype),
    inference(cnf_transformation,[],[f126]) ).

fof(f635,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Datatype,X0)
      | idc(X0) ),
    inference(cnf_transformation,[],[f591]) ).

fof(f642,plain,
    ic(uri_rdfs_Class),
    inference(cnf_transformation,[],[f122]) ).

fof(f643,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f593]) ).

fof(f644,plain,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f593]) ).

fof(f647,plain,
    iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class),
    inference(cnf_transformation,[],[f78]) ).

fof(f655,plain,
    ic(uri_owl_Class),
    inference(cnf_transformation,[],[f120]) ).

fof(f656,plain,
    ! [X0] :
      ( ~ icext(uri_owl_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f596]) ).

fof(f657,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f596]) ).

fof(f658,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f164]) ).

fof(f660,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f597]) ).

fof(f665,plain,
    ! [X0,X1] :
      ( icext(X1,sK1(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_owl_equivalentClass,X0,X1)
      | icext(X0,sK1(X0,X1)) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f666,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK1(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X0,sK1(X0,X1)) ),
    inference(cnf_transformation,[],[f601]) ).

fof(f677,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[],[f570]) ).

fof(f689,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | ~ iext(X0,X4,X5)
      | icext(X1,X5) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f724,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f729,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(forward_subsumption_resolution,[],[f660,f724]) ).

fof(f835,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(uri_rdfs_Class,X1) ),
    inference(resolution,[],[f689,f647]) ).

fof(f850,plain,
    ! [X0,X1] :
      ( icext(uri_rdfs_Class,X0)
      | ~ icext(X0,X1) ),
    inference(resolution,[],[f835,f622]) ).

fof(f873,plain,
    ! [X0] :
      ( ~ ic(uri_rdfs_Datatype)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0)
      | idc(sK0(uri_rdfs_Datatype,X0)) ),
    inference(resolution,[],[f626,f635]) ).

fof(f880,plain,
    ! [X0] :
      ( idc(sK0(uri_rdfs_Datatype,X0))
      | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,X0)
      | ~ ic(X0) ),
    inference(forward_subsumption_resolution,[],[f873,f634]) ).

fof(f895,plain,
    ! [X0] :
      ( ~ ic(X0)
      | ~ ic(uri_owl_Class)
      | iext(uri_rdfs_subClassOf,X0,uri_owl_Class)
      | ~ ic(sK0(X0,uri_owl_Class)) ),
    inference(resolution,[],[f627,f657]) ).

fof(f896,plain,
    ! [X0] :
      ( ~ ic(X0)
      | ~ ic(uri_owl_Thing)
      | iext(uri_rdfs_subClassOf,X0,uri_owl_Thing) ),
    inference(resolution,[],[f627,f729]) ).

fof(f898,plain,
    ! [X0] :
      ( iext(uri_rdfs_subClassOf,X0,uri_owl_Thing)
      | ~ ic(X0) ),
    inference(forward_subsumption_resolution,[],[f896,f658]) ).

fof(f899,plain,
    ! [X0] :
      ( iext(uri_rdfs_subClassOf,X0,uri_owl_Class)
      | ~ ic(X0)
      | ~ ic(sK0(X0,uri_owl_Class)) ),
    inference(forward_subsumption_resolution,[],[f895,f655]) ).

fof(f1014,plain,
    ! [X0] :
      ( ~ ic(X0)
      | ~ ic(uri_rdfs_Class)
      | iext(uri_owl_equivalentClass,X0,uri_rdfs_Class)
      | icext(X0,sK1(X0,uri_rdfs_Class))
      | ic(sK1(X0,uri_rdfs_Class)) ),
    inference(resolution,[],[f665,f643]) ).

fof(f1019,plain,
    ! [X0] :
      ( icext(X0,sK1(X0,uri_rdfs_Class))
      | iext(uri_owl_equivalentClass,X0,uri_rdfs_Class)
      | ~ ic(X0)
      | ic(sK1(X0,uri_rdfs_Class)) ),
    inference(forward_subsumption_resolution,[],[f1014,f642]) ).

fof(f1037,plain,
    ! [X0] :
      ( ~ ic(X0)
      | ~ ic(uri_rdfs_Class)
      | iext(uri_owl_equivalentClass,X0,uri_rdfs_Class)
      | ~ icext(X0,sK1(X0,uri_rdfs_Class))
      | ~ ic(sK1(X0,uri_rdfs_Class)) ),
    inference(resolution,[],[f666,f644]) ).

fof(f1045,plain,
    ! [X0] :
      ( ~ ic(X0)
      | iext(uri_owl_equivalentClass,X0,uri_rdfs_Class)
      | ~ icext(X0,sK1(X0,uri_rdfs_Class))
      | ~ ic(sK1(X0,uri_rdfs_Class)) ),
    inference(forward_subsumption_resolution,[],[f1037,f642]) ).

fof(f1057,plain,
    ! [X0,X1] :
      ( ~ icext(X0,X1)
      | ic(X0) ),
    inference(resolution,[],[f850,f643]) ).

fof(f1629,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_owl_Class)
    | ic(sK1(uri_owl_Class,uri_rdfs_Class))
    | ic(sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(resolution,[],[f1019,f656]) ).

fof(f1633,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_owl_Class)
    | ic(sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(duplicate_literal_removal,[],[f1629]) ).

fof(f1639,plain,
    ( ic(sK1(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(forward_subsumption_resolution,[],[f1633,f655]) ).

fof(f1811,plain,
    ! [X0] :
      ( ~ icext(X0,sK1(X0,uri_rdfs_Class))
      | iext(uri_owl_equivalentClass,X0,uri_rdfs_Class)
      | ~ ic(sK1(X0,uri_rdfs_Class)) ),
    inference(forward_subsumption_resolution,[],[f1045,f1057]) ).

fof(f1831,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(resolution,[],[f1811,f657]) ).

fof(f1833,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(sK1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(duplicate_literal_removal,[],[f1831]) ).

fof(f2205,plain,
    iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(forward_subsumption_resolution,[],[f1833,f1639]) ).

fof(f2206,plain,
    ( ~ 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)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(resolution,[],[f2205,f620]) ).

fof(f2217,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ ic(uri_owl_Class) ),
    inference(resolution,[],[f2206,f898]) ).

fof(f2219,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(forward_subsumption_resolution,[],[f2217,f655]) ).

fof(f2220,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ ic(uri_rdfs_Datatype)
    | ~ ic(sK0(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(resolution,[],[f2219,f899]) ).

fof(f2222,plain,
    ( ~ ic(sK0(uri_rdfs_Datatype,uri_owl_Class))
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(forward_subsumption_resolution,[],[f2220,f634]) ).

fof(f2229,plain,
    ( ~ idc(sK0(uri_rdfs_Datatype,uri_owl_Class))
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(resolution,[],[f2222,f677]) ).

fof(f2236,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ ic(uri_owl_Class) ),
    inference(resolution,[],[f2229,f880]) ).

fof(f2237,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ ic(uri_owl_Class) ),
    inference(forward_subsumption_resolution,[],[f2236,f2219]) ).

fof(f2238,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(forward_subsumption_resolution,[],[f2237,f655]) ).

fof(f2239,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ icext(uri_owl_Thing,uri_owl_Class) ),
    inference(resolution,[],[f2238,f622]) ).

fof(f2240,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference(forward_subsumption_resolution,[],[f2239,f729]) ).

fof(f2246,plain,
    ~ icext(uri_owl_Class,uri_owl_Class),
    inference(resolution,[],[f2240,f622]) ).

fof(f2253,plain,
    ~ ic(uri_owl_Class),
    inference(resolution,[],[f2246,f657]) ).

fof(f2254,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2253,f655]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB004+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n006.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 06:54:25 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.89/1.32  % (3781938)Detected formulas, will run a generic FOF schedule.
% 2.89/1.32  % (3781944)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1448751089:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.89/1.32  % (3781943)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3785649121:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.89/1.32  % (3781947)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2232104631:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.89/1.32  % (3781946)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2634626448:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.89/1.32  % (3781945)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=896432259:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.89/1.32  % (3781949)dis-21_1_sil=8000:lcm=predicate:random_seed=3730950137:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.89/1.32  % (3781946)Refutation not found, incomplete strategy
% 2.89/1.32  % (3781946)------------------------------
% 2.89/1.32  % (3781946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.32  % (3781946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.32  % (3781946)CaDiCaL version: 2.1.3
% 2.89/1.32  % (3781946)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.32  % (3781946)Time elapsed: 0.004 s
% 2.89/1.32  % (3781946)Peak memory usage: 88 MB
% 2.89/1.32  % (3781946)Instructions burned: 5 (million)
% 2.89/1.32  % (3781948)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2470628680:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.89/1.32  % (3781947)First to succeed.
% 2.89/1.32  % (3781947)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3781938"
% 2.89/1.32  % (3781948)Also succeeded, but the first one will report.
% 2.89/1.32  % (3781949)Instruction limit reached! 
% 2.89/1.32  % (3781949)------------------------------
% 2.89/1.32  % (3781949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.32  % (3781949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.32  % (3781949)CaDiCaL version: 2.1.3
% 2.89/1.32  % (3781949)Termination reason: Instruction limit
% 2.89/1.32  % (3781949)Termination phase: Saturation
% 2.89/1.32  % (3781949)Time elapsed: 0.067 s
% 2.89/1.32  % (3781949)Peak memory usage: 91 MB
% 2.89/1.32  % (3781949)Instructions burned: 129 (million)
% 2.89/1.32  % (3781957)lrs+10_1_sil=8000:sp=occurrence:random_seed=132514661:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.89/1.32  % (3781946)------------------------------
% 2.89/1.32  % (3781946)------------------------------
% 2.89/1.32  % (3781947)Refutation found. Thanks to Tanya!
% 2.89/1.32  % SZS status Theorem for theBenchmark
% 2.89/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.51  % (3781947)------------------------------
% 3.83/1.51  % (3781947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.51  % (3781947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.51  % (3781947)CaDiCaL version: 2.1.3
% 3.83/1.51  % (3781947)Termination reason: Refutation
% 3.83/1.51  % (3781947)Time elapsed: 0.022 s
% 3.83/1.51  % (3781947)Peak memory usage: 89 MB
% 3.83/1.51  % (3781947)Instructions burned: 35 (million)
% 3.83/1.51  % (3781947)------------------------------
% 3.83/1.51  % (3781947)------------------------------
% 3.83/1.51  % (3781938)Success in time 0.463 s
% 3.83/1.51  % Vampire exiting
%------------------------------------------------------------------------------