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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB004+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 0.37s 1.01s
% Output   : Refutation 3.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  120 (  24 unt;   7 def)
%            Number of atoms       :  365 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  398 ( 153   ~; 172   |;  53   &)
%                                         (  16 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   8 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   75 (   0 sgn  69   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f3,axiom,
    ! [X0] :
      ( idc(X0)
     => ic(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

fof(f4,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_type) ).

fof(f5,axiom,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

fof(f6,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
    <=> ic(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

fof(f8,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_type) ).

fof(f9,axiom,
    ! [X0] :
      ( icext(uri_rdfs_Datatype,X0)
    <=> idc(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

fof(f10,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).

fof(f11,axiom,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f14,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/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

fof(f15,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)],[f14]) ).

fof(f16,plain,
    ! [X0] :
      ( icext(uri_rdfs_Datatype,X0)
     => idc(X0) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f17,plain,
    ! [X0] :
      ( ir(X0)
     => icext(uri_owl_Thing,X0) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f18,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f19,plain,
    ! [X0] :
      ( idc(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f20,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f22,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,[],[f15]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f24,plain,
    ! [X0] :
      ( ( icext(uri_owl_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X0] :
      ( ( icext(uri_rdfs_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_rdfs_Class,X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f26,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,[],[f21]) ).

fof(f27,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,[],[f26]) ).

fof(f28,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,[],[f27]) ).

fof(f29,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))],[f28]) ).

fof(f30,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,[],[f13]) ).

fof(f31,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,[],[f30]) ).

fof(f32,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,[],[f31]) ).

fof(f33,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))],[f32]) ).

fof(f34,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f37,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f38,plain,
    ic(uri_owl_Class),
    inference(cnf_transformation,[],[f4]) ).

fof(f39,plain,
    ! [X0] :
      ( ic(X0)
      | ~ icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f40,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f41,plain,
    ic(uri_rdfs_Class),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ! [X0] :
      ( ic(X0)
      | ~ icext(uri_rdfs_Class,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f43,plain,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f44,plain,
    ic(uri_rdfs_Datatype),
    inference(cnf_transformation,[],[f8]) ).

fof(f45,plain,
    ! [X0] :
      ( idc(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f46,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f10]) ).

fof(f47,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( icext(X0,sK0(X0,X1))
      | ~ ic(X0)
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | ~ ic(X0)
      | ~ ic(X1)
      | ~ icext(X1,sK0(X0,X1)) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f57,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,[],[f33]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
      | ~ ic(X0)
      | ~ ic(X1)
      | ~ icext(X1,sK1(X0,X1))
      | ~ icext(X0,sK1(X0,X1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f59,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(cnf_transformation,[],[f22]) ).

fof(f61,definition,
    ( spl2_1
  <=> iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

fof(f63,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f65,definition,
    ( spl2_2
  <=> iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

fof(f67,plain,
    ( ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f69,definition,
    ( spl2_3
  <=> iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

fof(f71,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f73,definition,
    ( spl2_4
  <=> iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

fof(f75,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | spl2_4 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f77,definition,
    ( spl2_5
  <=> iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

fof(f79,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | spl2_5 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f80,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f59,f77,f73,f69,f65,f61]) ).

fof(f81,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(forward_subsumption_resolution,[],[f47,f34]) ).

fof(f82,plain,
    ( ~ ic(uri_rdfs_Datatype)
    | ~ ic(uri_owl_Class)
    | ~ icext(uri_owl_Class,sK0(uri_rdfs_Datatype,uri_owl_Class))
    | spl2_1 ),
    inference(resolution,[],[f52,f63]) ).

fof(f83,plain,
    ( ~ ic(uri_owl_Class)
    | ~ icext(uri_owl_Class,sK0(uri_rdfs_Datatype,uri_owl_Class))
    | spl2_1 ),
    inference(forward_subsumption_resolution,[],[f82,f44]) ).

fof(f84,plain,
    ( ~ icext(uri_owl_Class,sK0(uri_rdfs_Datatype,uri_owl_Class))
    | spl2_1 ),
    inference(forward_subsumption_resolution,[],[f83,f38]) ).

fof(f85,plain,
    ( ~ ic(sK0(uri_rdfs_Datatype,uri_owl_Class))
    | spl2_1 ),
    inference(resolution,[],[f84,f40]) ).

fof(f90,plain,
    ( ~ idc(sK0(uri_rdfs_Datatype,uri_owl_Class))
    | spl2_1 ),
    inference(resolution,[],[f85,f37]) ).

fof(f98,plain,
    ( ~ icext(uri_rdfs_Datatype,sK0(uri_rdfs_Datatype,uri_owl_Class))
    | spl2_1 ),
    inference(resolution,[],[f90,f45]) ).

fof(f108,plain,
    ( ~ ic(uri_rdfs_Datatype)
    | ~ ic(uri_owl_Class)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | spl2_1 ),
    inference(resolution,[],[f98,f51]) ).

fof(f113,plain,
    ( ~ ic(uri_owl_Class)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | spl2_1 ),
    inference(forward_subsumption_resolution,[],[f108,f44]) ).

fof(f114,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | spl2_1 ),
    inference(forward_subsumption_resolution,[],[f113,f38]) ).

fof(f115,plain,
    ( $false
    | spl2_1 ),
    inference(forward_subsumption_resolution,[],[f114,f63]) ).

fof(f116,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f117,plain,
    ( ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_2 ),
    inference(resolution,[],[f67,f58]) ).

fof(f118,plain,
    ( ~ ic(uri_rdfs_Class)
    | ~ icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_2 ),
    inference(forward_subsumption_resolution,[],[f117,f38]) ).

fof(f119,plain,
    ( ~ icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_2 ),
    inference(forward_subsumption_resolution,[],[f118,f41]) ).

fof(f121,definition,
    ( spl2_6
  <=> icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class)) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

fof(f122,plain,
    ( icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f123,plain,
    ( ~ icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_6 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f125,definition,
    ( spl2_7
  <=> icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class)) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

fof(f127,plain,
    ( ~ icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_7 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f128,plain,
    ( ~ spl2_6
    | ~ spl2_7
    | spl2_2 ),
    inference(avatar_split_clause,[],[f119,f65,f125,f121]) ).

fof(f129,plain,
    ( ~ ic(sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_6 ),
    inference(resolution,[],[f123,f40]) ).

fof(f136,plain,
    ( ~ icext(uri_rdfs_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_6 ),
    inference(resolution,[],[f129,f42]) ).

fof(f141,plain,
    ( ~ spl2_7
    | spl2_6 ),
    inference(avatar_split_clause,[],[f136,f121,f125]) ).

fof(f142,plain,
    ( ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Class)
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_7 ),
    inference(resolution,[],[f127,f57]) ).

fof(f143,plain,
    ( ~ ic(sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_7 ),
    inference(resolution,[],[f127,f43]) ).

fof(f148,plain,
    ( ~ ic(uri_rdfs_Class)
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_7 ),
    inference(forward_subsumption_resolution,[],[f142,f38]) ).

fof(f149,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_7 ),
    inference(forward_subsumption_resolution,[],[f148,f41]) ).

fof(f155,plain,
    ( ~ icext(uri_owl_Thing,uri_owl_Class)
    | spl2_5 ),
    inference(resolution,[],[f79,f36]) ).

fof(f156,plain,
    ( $false
    | spl2_5 ),
    inference(forward_subsumption_resolution,[],[f155,f81]) ).

fof(f157,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f156]) ).

fof(f158,plain,
    ( ~ ic(uri_owl_Class)
    | ~ ic(uri_owl_Thing)
    | ~ icext(uri_owl_Thing,sK0(uri_owl_Class,uri_owl_Thing))
    | spl2_3 ),
    inference(resolution,[],[f71,f52]) ).

fof(f159,plain,
    ( ~ ic(uri_owl_Thing)
    | ~ icext(uri_owl_Thing,sK0(uri_owl_Class,uri_owl_Thing))
    | spl2_3 ),
    inference(forward_subsumption_resolution,[],[f158,f38]) ).

fof(f160,plain,
    ( ~ icext(uri_owl_Thing,sK0(uri_owl_Class,uri_owl_Thing))
    | spl2_3 ),
    inference(forward_subsumption_resolution,[],[f159,f46]) ).

fof(f161,plain,
    ( $false
    | spl2_3 ),
    inference(forward_subsumption_resolution,[],[f160,f81]) ).

fof(f162,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f161]) ).

fof(f163,plain,
    ( ~ icext(uri_owl_Class,uri_owl_Class)
    | spl2_4 ),
    inference(resolution,[],[f75,f36]) ).

fof(f164,plain,
    ( ~ ic(uri_owl_Class)
    | spl2_4 ),
    inference(resolution,[],[f163,f40]) ).

fof(f169,plain,
    ( $false
    | spl2_4 ),
    inference(forward_subsumption_resolution,[],[f164,f38]) ).

fof(f170,plain,
    spl2_4,
    inference(avatar_contradiction_clause,[],[f169]) ).

fof(f171,plain,
    ( spl2_6
    | spl2_2
    | spl2_7 ),
    inference(avatar_split_clause,[],[f149,f125,f65,f121]) ).

fof(f174,plain,
    ( ~ icext(uri_owl_Class,sK1(uri_owl_Class,uri_rdfs_Class))
    | spl2_7 ),
    inference(resolution,[],[f143,f39]) ).

fof(f180,plain,
    ( $false
    | ~ spl2_6
    | spl2_7 ),
    inference(forward_subsumption_resolution,[],[f174,f122]) ).

fof(f181,plain,
    ( ~ spl2_6
    | spl2_7 ),
    inference(avatar_contradiction_clause,[],[f180]) ).

cnf(s1,plain,
    ( ~ spl2_1
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(sat_conversion,[],[f80]) ).

cnf(s2,plain,
    spl2_1,
    inference(sat_conversion,[],[f116]) ).

cnf(s3,plain,
    ( spl2_2
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(sat_conversion,[],[f128]) ).

cnf(s4,plain,
    ( spl2_6
    | ~ spl2_7 ),
    inference(sat_conversion,[],[f141]) ).

cnf(s7,plain,
    spl2_5,
    inference(sat_conversion,[],[f157]) ).

cnf(s8,plain,
    spl2_3,
    inference(sat_conversion,[],[f162]) ).

cnf(s9,plain,
    spl2_4,
    inference(sat_conversion,[],[f170]) ).

cnf(s11,plain,
    ( spl2_2
    | spl2_6
    | spl2_7 ),
    inference(sat_conversion,[],[f171]) ).

cnf(s12,plain,
    ( ~ spl2_6
    | spl2_7 ),
    inference(sat_conversion,[],[f181]) ).

cnf(s13,plain,
    ~ spl2_2,
    inference(rat,[],[s1,s7,s9,s8,s2]) ).

cnf(s14,plain,
    spl2_6,
    inference(rat,[],[s4,s11,s13]) ).

cnf(s15,plain,
    spl2_7,
    inference(rat,[],[s12,s14]) ).

cnf(s16,plain,
    $false,
    inference(rat,[],[s3,s13,s15,s14]) ).

fof(f182,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB004+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n011.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 06:54:46 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.01  % (3213622)Detected formulas, will run a generic FOF schedule.
% 0.37/1.01  % (3213627)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=2743798433:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.37/1.01  % (3213632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4190121419:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.37/1.01  % (3213633)dis-21_1_sil=8000:lcm=predicate:random_seed=459839446: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)
% 0.37/1.01  % (3213631)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2486210545:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.37/1.01  % (3213630)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1565469621:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.37/1.01  % (3213628)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=4117029836:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.37/1.01  % (3213629)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=128651807:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.37/1.01  % (3213630)Refutation not found, incomplete strategy
% 0.37/1.01  % (3213630)------------------------------
% 0.37/1.01  % (3213630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.37/1.01  % (3213630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/1.01  % (3213630)CaDiCaL version: 2.1.3
% 0.37/1.01  % (3213630)Termination reason: Refutation not found, incomplete strategy
% 0.37/1.01  % (3213630)Time elapsed: 0.002 s
% 0.37/1.01  % (3213630)Peak memory usage: 88 MB
% 0.37/1.01  % (3213630)Instructions burned: 1 (million)
% 0.37/1.01  % (3213631)Refutation not found, incomplete strategy
% 0.37/1.01  % (3213631)------------------------------
% 0.37/1.01  % (3213631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.37/1.01  % (3213631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/1.01  % (3213631)CaDiCaL version: 2.1.3
% 0.37/1.01  % (3213631)Termination reason: Refutation not found, incomplete strategy
% 0.37/1.01  % (3213631)Time elapsed: 0.003 s
% 0.37/1.01  % (3213631)Peak memory usage: 88 MB
% 0.37/1.01  % (3213631)Instructions burned: 4 (million)
% 0.37/1.01  % (3213632)First to succeed.
% 0.37/1.01  % (3213633)Also succeeded, but the first one will report.
% 0.37/1.01  % (3213632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3213622"
% 0.37/1.01  % (3213631)------------------------------
% 0.37/1.01  % (3213631)------------------------------
% 0.37/1.01  % (3213630)------------------------------
% 0.37/1.01  % (3213630)------------------------------
% 0.37/1.01  % (3213632)Refutation found. Thanks to Tanya!
% 0.37/1.01  % SZS status Theorem for theBenchmark
% 0.37/1.01  % SZS output start Proof for theBenchmark
% See solution above
% 3.11/1.11  % (3213632)------------------------------
% 3.11/1.11  % (3213632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.11  % (3213632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.11  % (3213632)CaDiCaL version: 2.1.3
% 3.11/1.11  % (3213632)Termination reason: Refutation
% 3.11/1.11  % (3213632)Time elapsed: 0.005 s
% 3.11/1.11  % (3213632)Peak memory usage: 89 MB
% 3.11/1.11  % (3213632)Instructions burned: 5 (million)
% 3.11/1.11  % (3213632)------------------------------
% 3.11/1.11  % (3213632)------------------------------
% 3.11/1.11  % (3213622)Success in time 0.402 s
% 3.11/1.11  % Vampire exiting
%------------------------------------------------------------------------------