TSTP Solution File: SWB004+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB004+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:13:16 EDT 2023

% Result   : Theorem 0.23s 0.52s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  111 (  14 unt;   0 def)
%            Number of atoms       :  381 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  436 ( 166   ~; 179   |;  63   &)
%                                         (  22 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   6 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   92 (;  84   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3277,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3128,f3157,f3198,f3250,f3254,f3273]) ).

fof(f3273,plain,
    ( ~ spl209_4
    | spl209_5 ),
    inference(avatar_contradiction_clause,[],[f3272]) ).

fof(f3272,plain,
    ( $false
    | ~ spl209_4
    | spl209_5 ),
    inference(subsumption_resolution,[],[f3255,f3253]) ).

fof(f3253,plain,
    ( ~ ic(sK78(uri_rdfs_Datatype,uri_owl_Class))
    | spl209_5 ),
    inference(avatar_component_clause,[],[f3252]) ).

fof(f3252,plain,
    ( spl209_5
  <=> ic(sK78(uri_rdfs_Datatype,uri_owl_Class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl209_5])]) ).

fof(f3255,plain,
    ( ic(sK78(uri_rdfs_Datatype,uri_owl_Class))
    | ~ spl209_4 ),
    inference(resolution,[],[f3249,f2014]) ).

fof(f2014,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[],[f929]) ).

fof(f929,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(ennf_transformation,[],[f572]) ).

fof(f572,plain,
    ! [X0] :
      ( idc(X0)
     => ic(X0) ),
    inference(rectify,[],[f85]) ).

fof(f85,axiom,
    ! [X3] :
      ( idc(X3)
     => ic(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_parts_idc_cond_set) ).

fof(f3249,plain,
    ( idc(sK78(uri_rdfs_Datatype,uri_owl_Class))
    | ~ spl209_4 ),
    inference(avatar_component_clause,[],[f3248]) ).

fof(f3248,plain,
    ( spl209_4
  <=> idc(sK78(uri_rdfs_Datatype,uri_owl_Class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl209_4])]) ).

fof(f3254,plain,
    ( ~ spl209_5
    | spl209_3 ),
    inference(avatar_split_clause,[],[f3237,f3126,f3252]) ).

fof(f3126,plain,
    ( spl209_3
  <=> iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl209_3])]) ).

fof(f3237,plain,
    ( ~ ic(sK78(uri_rdfs_Datatype,uri_owl_Class))
    | spl209_3 ),
    inference(forward_literal_rewriting,[],[f3236,f2171]) ).

fof(f2171,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f1399]) ).

fof(f1399,plain,
    ! [X0] :
      ( ( icext(uri_owl_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f684]) ).

fof(f684,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    inference(rectify,[],[f119]) ).

fof(f119,axiom,
    ! [X3] :
      ( icext(uri_owl_Class,X3)
    <=> ic(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_classowl_ext) ).

fof(f3236,plain,
    ( ~ icext(uri_owl_Class,sK78(uri_rdfs_Datatype,uri_owl_Class))
    | spl209_3 ),
    inference(subsumption_resolution,[],[f3235,f1881]) ).

fof(f1881,plain,
    ic(uri_rdfs_Datatype),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_datatype_type) ).

fof(f3235,plain,
    ( ~ icext(uri_owl_Class,sK78(uri_rdfs_Datatype,uri_owl_Class))
    | ~ ic(uri_rdfs_Datatype)
    | spl209_3 ),
    inference(subsumption_resolution,[],[f3213,f1882]) ).

fof(f1882,plain,
    ic(uri_owl_Class),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_classowl_type) ).

fof(f3213,plain,
    ( ~ icext(uri_owl_Class,sK78(uri_rdfs_Datatype,uri_owl_Class))
    | ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Datatype)
    | spl209_3 ),
    inference(resolution,[],[f3127,f2499]) ).

fof(f2499,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X1,sK78(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f1535]) ).

fof(f1535,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ( ~ icext(X1,sK78(X0,X1))
          & icext(X0,sK78(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK78])],[f1533,f1534]) ).

fof(f1534,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X1,X2)
          & icext(X0,X2) )
     => ( ~ icext(X1,sK78(X0,X1))
        & icext(X0,sK78(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1533,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( icext(X1,X3)
              | ~ icext(X0,X3) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f1532]) ).

fof(f1532,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f1531]) ).

fof(f1531,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f1166]) ).

fof(f1166,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f831]) ).

fof(f831,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f343]) ).

fof(f343,axiom,
    ! [X12,X14] :
      ( iext(uri_rdfs_subClassOf,X12,X14)
    <=> ( ! [X3] :
            ( icext(X12,X3)
           => icext(X14,X3) )
        & ic(X14)
        & ic(X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_rdfsext_subclassof) ).

fof(f3127,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | spl209_3 ),
    inference(avatar_component_clause,[],[f3126]) ).

fof(f3250,plain,
    ( spl209_4
    | spl209_3 ),
    inference(avatar_split_clause,[],[f3234,f3126,f3248]) ).

fof(f3234,plain,
    ( idc(sK78(uri_rdfs_Datatype,uri_owl_Class))
    | spl209_3 ),
    inference(forward_literal_rewriting,[],[f3233,f2166]) ).

fof(f2166,plain,
    ! [X0] :
      ( idc(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(cnf_transformation,[],[f1397]) ).

fof(f1397,plain,
    ! [X0] :
      ( ( icext(uri_rdfs_Datatype,X0)
        | ~ idc(X0) )
      & ( idc(X0)
        | ~ icext(uri_rdfs_Datatype,X0) ) ),
    inference(nnf_transformation,[],[f682]) ).

fof(f682,plain,
    ! [X0] :
      ( icext(uri_rdfs_Datatype,X0)
    <=> idc(X0) ),
    inference(rectify,[],[f125]) ).

fof(f125,axiom,
    ! [X3] :
      ( icext(uri_rdfs_Datatype,X3)
    <=> idc(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_datatype_ext) ).

fof(f3233,plain,
    ( icext(uri_rdfs_Datatype,sK78(uri_rdfs_Datatype,uri_owl_Class))
    | spl209_3 ),
    inference(subsumption_resolution,[],[f3232,f1881]) ).

fof(f3232,plain,
    ( icext(uri_rdfs_Datatype,sK78(uri_rdfs_Datatype,uri_owl_Class))
    | ~ ic(uri_rdfs_Datatype)
    | spl209_3 ),
    inference(subsumption_resolution,[],[f3212,f1882]) ).

fof(f3212,plain,
    ( icext(uri_rdfs_Datatype,sK78(uri_rdfs_Datatype,uri_owl_Class))
    | ~ ic(uri_owl_Class)
    | ~ ic(uri_rdfs_Datatype)
    | spl209_3 ),
    inference(resolution,[],[f3127,f2498]) ).

fof(f2498,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X0,sK78(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f1535]) ).

fof(f3198,plain,
    spl209_2,
    inference(avatar_contradiction_clause,[],[f3197]) ).

fof(f3197,plain,
    ( $false
    | spl209_2 ),
    inference(subsumption_resolution,[],[f3196,f3191]) ).

fof(f3191,plain,
    ( ic(sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(forward_literal_rewriting,[],[f3190,f2170]) ).

fof(f2170,plain,
    ! [X0] :
      ( ic(X0)
      | ~ icext(uri_owl_Class,X0) ),
    inference(cnf_transformation,[],[f1399]) ).

fof(f3190,plain,
    ( icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(subsumption_resolution,[],[f3189,f2171]) ).

fof(f3189,plain,
    ( ic(sK75(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(forward_literal_rewriting,[],[f3188,f2172]) ).

fof(f2172,plain,
    ! [X0] :
      ( ic(X0)
      | ~ icext(uri_rdfs_Class,X0) ),
    inference(cnf_transformation,[],[f1400]) ).

fof(f1400,plain,
    ! [X0] :
      ( ( icext(uri_rdfs_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_rdfs_Class,X0) ) ),
    inference(nnf_transformation,[],[f685]) ).

fof(f685,plain,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
    <=> ic(X0) ),
    inference(rectify,[],[f121]) ).

fof(f121,axiom,
    ! [X3] :
      ( icext(uri_rdfs_Class,X3)
    <=> ic(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_classrdfs_ext) ).

fof(f3188,plain,
    ( icext(uri_rdfs_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(subsumption_resolution,[],[f3187,f1882]) ).

fof(f3187,plain,
    ( icext(uri_rdfs_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(uri_owl_Class)
    | spl209_2 ),
    inference(subsumption_resolution,[],[f3167,f1885]) ).

fof(f1885,plain,
    ic(uri_rdfs_Class),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_classrdfs_type) ).

fof(f3167,plain,
    ( icext(uri_rdfs_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(uri_rdfs_Class)
    | ~ ic(uri_owl_Class)
    | spl209_2 ),
    inference(resolution,[],[f3124,f2488]) ).

fof(f2488,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
      | icext(X1,sK75(X0,X1))
      | icext(X0,sK75(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f1525]) ).

fof(f1525,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ( ( ~ icext(X1,sK75(X0,X1))
            | ~ icext(X0,sK75(X0,X1)) )
          & ( icext(X1,sK75(X0,X1))
            | icext(X0,sK75(X0,X1)) ) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK75])],[f1523,f1524]) ).

fof(f1524,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ icext(X1,X2)
            | ~ icext(X0,X2) )
          & ( icext(X1,X2)
            | icext(X0,X2) ) )
     => ( ( ~ icext(X1,sK75(X0,X1))
          | ~ icext(X0,sK75(X0,X1)) )
        & ( icext(X1,sK75(X0,X1))
          | icext(X0,sK75(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1523,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(rectify,[],[f1522]) ).

fof(f1522,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(flattening,[],[f1521]) ).

fof(f1521,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) )
          & ic(X1)
          & ic(X0) )
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(nnf_transformation,[],[f829]) ).

fof(f829,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f351]) ).

fof(f351,axiom,
    ! [X12,X14] :
      ( iext(uri_owl_equivalentClass,X12,X14)
    <=> ( ! [X3] :
            ( icext(X12,X3)
          <=> icext(X14,X3) )
        & ic(X14)
        & ic(X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_eqdis_equivalentclass) ).

fof(f3124,plain,
    ( ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | spl209_2 ),
    inference(avatar_component_clause,[],[f3123]) ).

fof(f3123,plain,
    ( spl209_2
  <=> iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl209_2])]) ).

fof(f3196,plain,
    ( ~ ic(sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(forward_literal_rewriting,[],[f3195,f2171]) ).

fof(f3195,plain,
    ( ~ icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(subsumption_resolution,[],[f3194,f3191]) ).

fof(f3194,plain,
    ( ~ ic(sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(forward_literal_rewriting,[],[f3193,f2173]) ).

fof(f2173,plain,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f1400]) ).

fof(f3193,plain,
    ( ~ icext(uri_rdfs_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | spl209_2 ),
    inference(subsumption_resolution,[],[f3192,f1882]) ).

fof(f3192,plain,
    ( ~ icext(uri_rdfs_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(uri_owl_Class)
    | spl209_2 ),
    inference(subsumption_resolution,[],[f3168,f1885]) ).

fof(f3168,plain,
    ( ~ icext(uri_rdfs_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ icext(uri_owl_Class,sK75(uri_owl_Class,uri_rdfs_Class))
    | ~ ic(uri_rdfs_Class)
    | ~ ic(uri_owl_Class)
    | spl209_2 ),
    inference(resolution,[],[f3124,f2489]) ).

fof(f2489,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X1,sK75(X0,X1))
      | ~ icext(X0,sK75(X0,X1))
      | ~ ic(X1)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f1525]) ).

fof(f3157,plain,
    spl209_1,
    inference(avatar_contradiction_clause,[],[f3156]) ).

fof(f3156,plain,
    ( $false
    | spl209_1 ),
    inference(subsumption_resolution,[],[f3155,f2000]) ).

fof(f2000,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,plain,
    ! [X0] : ir(X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3] : ir(X3),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',simple_ir) ).

fof(f3155,plain,
    ( ~ ir(sK78(uri_owl_Class,uri_owl_Thing))
    | spl209_1 ),
    inference(forward_literal_rewriting,[],[f3154,f2165]) ).

fof(f2165,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f1396]) ).

fof(f1396,plain,
    ! [X0] :
      ( ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) ) ),
    inference(nnf_transformation,[],[f681]) ).

fof(f681,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    inference(rectify,[],[f163]) ).

fof(f163,axiom,
    ! [X3] :
      ( icext(uri_owl_Thing,X3)
    <=> ir(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_thing_ext) ).

fof(f3154,plain,
    ( ~ icext(uri_owl_Thing,sK78(uri_owl_Class,uri_owl_Thing))
    | spl209_1 ),
    inference(subsumption_resolution,[],[f3153,f1882]) ).

fof(f3153,plain,
    ( ~ icext(uri_owl_Thing,sK78(uri_owl_Class,uri_owl_Thing))
    | ~ ic(uri_owl_Class)
    | spl209_1 ),
    inference(subsumption_resolution,[],[f3131,f1879]) ).

fof(f1879,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',owl_class_thing_type) ).

fof(f3131,plain,
    ( ~ icext(uri_owl_Thing,sK78(uri_owl_Class,uri_owl_Thing))
    | ~ ic(uri_owl_Thing)
    | ~ ic(uri_owl_Class)
    | spl209_1 ),
    inference(resolution,[],[f3121,f2499]) ).

fof(f3121,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | spl209_1 ),
    inference(avatar_component_clause,[],[f3120]) ).

fof(f3120,plain,
    ( spl209_1
  <=> iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    introduced(avatar_definition,[new_symbols(naming,[spl209_1])]) ).

fof(f3128,plain,
    ( ~ spl209_1
    | ~ spl209_2
    | ~ spl209_3 ),
    inference(avatar_split_clause,[],[f3118,f3126,f3123,f3120]) ).

fof(f3118,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(subsumption_resolution,[],[f3117,f2000]) ).

fof(f3117,plain,
    ( ~ ir(uri_owl_Class)
    | ~ 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(forward_literal_rewriting,[],[f3116,f2165]) ).

fof(f3116,plain,
    ( ~ icext(uri_owl_Thing,uri_owl_Class)
    | ~ 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(forward_literal_rewriting,[],[f3115,f2511]) ).

fof(f2511,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f1546]) ).

fof(f1546,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f834]) ).

fof(f834,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',rdfs_cext_def) ).

fof(f3115,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_Thing) ),
    inference(subsumption_resolution,[],[f3114,f1882]) ).

fof(f3114,plain,
    ( ~ ic(uri_owl_Class)
    | ~ 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_Thing) ),
    inference(forward_literal_rewriting,[],[f3113,f2171]) ).

fof(f3113,plain,
    ( ~ icext(uri_owl_Class,uri_owl_Class)
    | ~ 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_Thing) ),
    inference(forward_literal_rewriting,[],[f1800,f2511]) ).

fof(f1800,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,[],[f919]) ).

fof(f919,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(ennf_transformation,[],[f560]) ).

fof(f560,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,[],[f559]) ).

fof(f559,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/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.16  % Problem    : SWB004+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.18  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.37  % Computer : n001.cluster.edu
% 0.18/0.37  % Model    : x86_64 x86_64
% 0.18/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.37  % Memory   : 8042.1875MB
% 0.18/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.37  % CPULimit   : 300
% 0.18/0.37  % WCLimit    : 300
% 0.18/0.37  % DateTime   : Sun Aug 27 08:14:02 EDT 2023
% 0.18/0.37  % CPUTime    : 
% 0.18/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.18/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417
% 0.18/0.38  % (13555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (13568)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.23/0.45  % (13556)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.23/0.45  % (13563)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.23/0.45  % (13560)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.23/0.45  % (13566)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.23/0.46  % (13569)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.23/0.46  % (13570)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.23/0.48  % (13570)Refutation not found, incomplete strategy% (13570)------------------------------
% 0.23/0.48  % (13570)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48  % (13570)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48  % (13570)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.48  
% 0.23/0.48  % (13570)Memory used [KB]: 4093
% 0.23/0.48  % (13570)Time elapsed: 0.026 s
% 0.23/0.48  % (13570)------------------------------
% 0.23/0.48  % (13570)------------------------------
% 0.23/0.52  % (13563)First to succeed.
% 0.23/0.52  % (13563)Refutation found. Thanks to Tanya!
% 0.23/0.52  % SZS status Theorem for Vampire---4
% 0.23/0.52  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.52  % (13563)------------------------------
% 0.23/0.52  % (13563)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.52  % (13563)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.52  % (13563)Termination reason: Refutation
% 0.23/0.52  
% 0.23/0.52  % (13563)Memory used [KB]: 13048
% 0.23/0.52  % (13563)Time elapsed: 0.066 s
% 0.23/0.52  % (13563)------------------------------
% 0.23/0.52  % (13563)------------------------------
% 0.23/0.52  % (13555)Success in time 0.14 s
% 0.23/0.52  13560 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.3tZg83WAFE/Vampire---4.8_13417
% 0.23/0.52  % (13560)------------------------------
% 0.23/0.52  % (13560)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.52  % (13560)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.52  % (13560)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 0.23/0.52  
% 0.23/0.52  % (13560)Memory used [KB]: 3582
% 0.23/0.52  % (13560)Time elapsed: 0.069 s
% 0.23/0.52  % (13560)------------------------------
% 0.23/0.52  % (13560)------------------------------
% 0.23/0.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------