TSTP Solution File: SWB004+2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 : Tue Apr 30 15:41:33 EDT 2024

% Result   : Theorem 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  123 (  18 unt;   0 def)
%            Number of atoms       :  399 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  438 ( 162   ~; 177   |;  67   &)
%                                         (  25 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   9 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  116 ( 108   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f477,plain,
    $false,
    inference(avatar_sat_refutation,[],[f94,f101,f106,f146,f238,f307,f407,f431,f476]) ).

fof(f476,plain,
    ( spl4_13
    | ~ spl4_14 ),
    inference(avatar_contradiction_clause,[],[f475]) ).

fof(f475,plain,
    ( $false
    | spl4_13
    | ~ spl4_14 ),
    inference(subsumption_resolution,[],[f474,f471]) ).

fof(f471,plain,
    ( ~ ic(sK2(uri_rdfs_Class,uri_owl_Class))
    | spl4_13 ),
    inference(resolution,[],[f232,f53]) ).

fof(f53,plain,
    ! [X0] :
      ( icext(uri_rdfs_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ( icext(uri_rdfs_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_rdfs_Class,X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

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

fof(f232,plain,
    ( ~ icext(uri_rdfs_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | spl4_13 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl4_13
  <=> icext(uri_rdfs_Class,sK2(uri_rdfs_Class,uri_owl_Class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f474,plain,
    ( ic(sK2(uri_rdfs_Class,uri_owl_Class))
    | ~ spl4_14 ),
    inference(resolution,[],[f237,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ icext(uri_owl_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ( icext(uri_owl_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f5]) ).

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

fof(f237,plain,
    ( icext(uri_owl_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl4_14
  <=> icext(uri_owl_Class,sK2(uri_rdfs_Class,uri_owl_Class)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f431,plain,
    ( spl4_12
    | ~ spl4_13 ),
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f430,plain,
    ( $false
    | spl4_12
    | ~ spl4_13 ),
    inference(subsumption_resolution,[],[f429,f233]) ).

fof(f233,plain,
    ( icext(uri_rdfs_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f429,plain,
    ( ~ icext(uri_rdfs_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | spl4_12
    | ~ spl4_13 ),
    inference(subsumption_resolution,[],[f428,f45]) ).

fof(f45,plain,
    ic(uri_rdfs_Class),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f428,plain,
    ( ~ ic(uri_rdfs_Class)
    | ~ icext(uri_rdfs_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | spl4_12
    | ~ spl4_13 ),
    inference(subsumption_resolution,[],[f423,f228]) ).

fof(f228,plain,
    ( ~ sP0(uri_rdfs_Class,uri_owl_Class)
    | spl4_12 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl4_12
  <=> sP0(uri_rdfs_Class,uri_owl_Class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f423,plain,
    ( sP0(uri_rdfs_Class,uri_owl_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ icext(uri_rdfs_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | ~ spl4_13 ),
    inference(resolution,[],[f411,f142]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ ic(sK2(X0,uri_owl_Class))
      | sP0(X0,uri_owl_Class)
      | ~ ic(X0)
      | ~ icext(X0,sK2(X0,uri_owl_Class)) ),
    inference(subsumption_resolution,[],[f139,f48]) ).

fof(f48,plain,
    ic(uri_owl_Class),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f139,plain,
    ! [X0] :
      ( ~ icext(X0,sK2(X0,uri_owl_Class))
      | sP0(X0,uri_owl_Class)
      | ~ ic(X0)
      | ~ ic(uri_owl_Class)
      | ~ ic(sK2(X0,uri_owl_Class)) ),
    inference(resolution,[],[f62,f56]) ).

fof(f56,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK2(X0,X1))
      | ~ icext(X0,sK2(X0,X1))
      | sP0(X0,X1)
      | ~ ic(X0)
      | ~ ic(X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( ( ~ icext(X0,sK2(X0,X1))
            | ~ icext(X1,sK2(X0,X1)) )
          & ( icext(X0,sK2(X0,X1))
            | icext(X1,sK2(X0,X1)) ) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ( icext(X1,X3)
                | ~ icext(X0,X3) )
              & ( icext(X0,X3)
                | ~ icext(X1,X3) ) )
          & ic(X0)
          & ic(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f33,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ icext(X0,X2)
            | ~ icext(X1,X2) )
          & ( icext(X0,X2)
            | icext(X1,X2) ) )
     => ( ( ~ icext(X0,sK2(X0,X1))
          | ~ icext(X1,sK2(X0,X1)) )
        & ( icext(X0,sK2(X0,X1))
          | icext(X1,sK2(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2] :
            ( ( ~ icext(X0,X2)
              | ~ icext(X1,X2) )
            & ( icext(X0,X2)
              | icext(X1,X2) ) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ( icext(X1,X3)
                | ~ icext(X0,X3) )
              & ( icext(X0,X3)
                | ~ icext(X1,X3) ) )
          & ic(X0)
          & ic(X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ? [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) )
        | ~ sP0(X1,X0) ) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ? [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) )
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f411,plain,
    ( ic(sK2(uri_rdfs_Class,uri_owl_Class))
    | ~ spl4_13 ),
    inference(resolution,[],[f233,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f407,plain,
    spl4_5,
    inference(avatar_split_clause,[],[f402,f91]) ).

fof(f91,plain,
    ( spl4_5
  <=> iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f402,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(resolution,[],[f400,f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ sP1(X1,X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ sP1(X1,X0) )
      & ( sP1(X1,X0)
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> sP1(X1,X0) ),
    inference(definition_folding,[],[f24,f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( sP1(X1,X0)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X2,X3] :
      ( iext(uri_rdfs_subClassOf,X2,X3)
    <=> ( ! [X0] :
            ( icext(X2,X0)
           => icext(X3,X0) )
        & ic(X3)
        & ic(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f400,plain,
    sP1(uri_owl_Class,uri_rdfs_Datatype),
    inference(subsumption_resolution,[],[f399,f48]) ).

fof(f399,plain,
    ( sP1(uri_owl_Class,uri_rdfs_Datatype)
    | ~ ic(uri_owl_Class) ),
    inference(subsumption_resolution,[],[f398,f46]) ).

fof(f46,plain,
    ic(uri_rdfs_Datatype),
    inference(cnf_transformation,[],[f8]) ).

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

fof(f398,plain,
    ( sP1(uri_owl_Class,uri_rdfs_Datatype)
    | ~ ic(uri_rdfs_Datatype)
    | ~ ic(uri_owl_Class) ),
    inference(duplicate_literal_removal,[],[f397]) ).

fof(f397,plain,
    ( sP1(uri_owl_Class,uri_rdfs_Datatype)
    | ~ ic(uri_rdfs_Datatype)
    | ~ ic(uri_owl_Class)
    | sP1(uri_owl_Class,uri_rdfs_Datatype) ),
    inference(resolution,[],[f163,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( idc(sK3(X0,uri_rdfs_Datatype))
      | ~ ic(X0)
      | sP1(X0,uri_rdfs_Datatype) ),
    inference(subsumption_resolution,[],[f109,f46]) ).

fof(f109,plain,
    ! [X0] :
      ( sP1(X0,uri_rdfs_Datatype)
      | ~ ic(X0)
      | ~ ic(uri_rdfs_Datatype)
      | idc(sK3(X0,uri_rdfs_Datatype)) ),
    inference(resolution,[],[f70,f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ icext(uri_rdfs_Datatype,X0)
      | idc(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( idc(X0)
      | ~ icext(uri_rdfs_Datatype,X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( icext(uri_rdfs_Datatype,X0)
     => idc(X0) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

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

fof(f70,plain,
    ! [X0,X1] :
      ( icext(X1,sK3(X0,X1))
      | sP1(X0,X1)
      | ~ ic(X0)
      | ~ ic(X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ( ~ icext(X0,sK3(X0,X1))
          & icext(X1,sK3(X0,X1)) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP1(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f40,f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X0,X2)
          & icext(X1,X2) )
     => ( ~ icext(X0,sK3(X0,X1))
        & icext(X1,sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ? [X2] :
            ( ~ icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP1(X0,X1) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( ( sP1(X1,X0)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP1(X1,X0) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0] :
      ( ( sP1(X1,X0)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP1(X1,X0) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ idc(sK3(uri_owl_Class,X0))
      | sP1(uri_owl_Class,X0)
      | ~ ic(X0) ),
    inference(resolution,[],[f122,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ic(X0)
      | ~ idc(X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f122,plain,
    ! [X0] :
      ( ~ ic(sK3(uri_owl_Class,X0))
      | ~ ic(X0)
      | sP1(uri_owl_Class,X0) ),
    inference(subsumption_resolution,[],[f118,f48]) ).

fof(f118,plain,
    ! [X0] :
      ( sP1(uri_owl_Class,X0)
      | ~ ic(uri_owl_Class)
      | ~ ic(X0)
      | ~ ic(sK3(uri_owl_Class,X0)) ),
    inference(resolution,[],[f71,f56]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK3(X0,X1))
      | sP1(X0,X1)
      | ~ ic(X0)
      | ~ ic(X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f307,plain,
    ( spl4_4
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f302,f227,f87]) ).

fof(f87,plain,
    ( spl4_4
  <=> iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f302,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ spl4_12 ),
    inference(resolution,[],[f229,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ sP0(X1,X0)
      | iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X0,X1)
        | ~ sP0(X1,X0) )
      & ( sP0(X1,X0)
        | ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> sP0(X1,X0) ),
    inference(definition_folding,[],[f16,f25]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X3] :
      ( iext(uri_owl_equivalentClass,X2,X3)
    <=> ( ! [X0] :
            ( icext(X2,X0)
          <=> icext(X3,X0) )
        & ic(X3)
        & ic(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f229,plain,
    ( sP0(uri_rdfs_Class,uri_owl_Class)
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f238,plain,
    ( spl4_12
    | spl4_13
    | spl4_14 ),
    inference(avatar_split_clause,[],[f211,f235,f231,f227]) ).

fof(f211,plain,
    ( icext(uri_owl_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | icext(uri_rdfs_Class,sK2(uri_rdfs_Class,uri_owl_Class))
    | sP0(uri_rdfs_Class,uri_owl_Class) ),
    inference(resolution,[],[f132,f45]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ ic(X0)
      | icext(uri_owl_Class,sK2(X0,uri_owl_Class))
      | icext(X0,sK2(X0,uri_owl_Class))
      | sP0(X0,uri_owl_Class) ),
    inference(resolution,[],[f61,f48]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | icext(X0,sK2(X0,X1))
      | icext(X1,sK2(X0,X1))
      | ~ ic(X0)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f146,plain,
    spl4_3,
    inference(avatar_contradiction_clause,[],[f145]) ).

fof(f145,plain,
    ( $false
    | spl4_3 ),
    inference(subsumption_resolution,[],[f143,f48]) ).

fof(f143,plain,
    ( ~ ic(uri_owl_Class)
    | spl4_3 ),
    inference(resolution,[],[f128,f85]) ).

fof(f85,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl4_3
  <=> iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f128,plain,
    ! [X0] :
      ( iext(uri_rdfs_subClassOf,X0,uri_owl_Thing)
      | ~ ic(X0) ),
    inference(resolution,[],[f121,f73]) ).

fof(f121,plain,
    ! [X0] :
      ( sP1(uri_owl_Thing,X0)
      | ~ ic(X0) ),
    inference(subsumption_resolution,[],[f117,f47]) ).

fof(f47,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f10]) ).

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

fof(f117,plain,
    ! [X0] :
      ( sP1(uri_owl_Thing,X0)
      | ~ ic(uri_owl_Thing)
      | ~ ic(X0) ),
    inference(resolution,[],[f71,f96]) ).

fof(f96,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(subsumption_resolution,[],[f54,f49]) ).

fof(f49,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f54,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ir(X0)
     => icext(uri_owl_Thing,X0) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

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

fof(f106,plain,
    spl4_2,
    inference(avatar_contradiction_clause,[],[f105]) ).

fof(f105,plain,
    ( $false
    | spl4_2 ),
    inference(subsumption_resolution,[],[f104,f48]) ).

fof(f104,plain,
    ( ~ ic(uri_owl_Class)
    | spl4_2 ),
    inference(resolution,[],[f103,f56]) ).

fof(f103,plain,
    ( ~ icext(uri_owl_Class,uri_owl_Class)
    | spl4_2 ),
    inference(resolution,[],[f81,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,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(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f81,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl4_2
  <=> iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f101,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f100]) ).

fof(f100,plain,
    ( $false
    | spl4_1 ),
    inference(subsumption_resolution,[],[f98,f96]) ).

fof(f98,plain,
    ( ~ icext(uri_owl_Thing,uri_owl_Class)
    | spl4_1 ),
    inference(resolution,[],[f66,f77]) ).

fof(f77,plain,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl4_1
  <=> iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f94,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f44,f91,f87,f83,f79,f75]) ).

fof(f44,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,[],[f20]) ).

fof(f20,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,[],[f15]) ).

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

fof(f14,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 01:53:48 EDT 2024
% 0.20/0.35  % CPUTime    : 
% 0.20/0.35  % (27905)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36  % (27911)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (27906)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (27908)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (27909)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37  % (27910)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (27912)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (27913)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1,1]
% 0.20/0.37  TRYING [1,1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2,1]
% 0.20/0.37  TRYING [2,1]
% 0.20/0.37  TRYING [3,1]
% 0.20/0.37  TRYING [3,1]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [2,2]
% 0.20/0.37  TRYING [2,2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3,2]
% 0.20/0.37  TRYING [3,2]
% 0.20/0.37  TRYING [3,3]
% 0.20/0.37  % (27912)First to succeed.
% 0.20/0.37  TRYING [3,3]
% 0.20/0.37  TRYING [4]
% 0.20/0.37  TRYING [4]
% 0.20/0.38  % (27912)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Theorem for theBenchmark
% 0.20/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38  % (27912)------------------------------
% 0.20/0.38  % (27912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.38  % (27912)Termination reason: Refutation
% 0.20/0.38  
% 0.20/0.38  % (27912)Memory used [KB]: 891
% 0.20/0.38  % (27912)Time elapsed: 0.009 s
% 0.20/0.38  % (27912)Instructions burned: 13 (million)
% 0.20/0.38  % (27912)------------------------------
% 0.20/0.38  % (27912)------------------------------
% 0.20/0.38  % (27905)Success in time 0.026 s
%------------------------------------------------------------------------------