TSTP Solution File: SWB024+2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB024+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 : n008.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 15:42:04 EDT 2024

% Result   : Theorem 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   72 (  15 unt;   0 def)
%            Number of atoms       :  291 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  322 ( 103   ~;  93   |;  99   &)
%                                         (  17 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   2 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :  154 ( 125   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,plain,
    $false,
    inference(avatar_sat_refutation,[],[f136,f139]) ).

fof(f139,plain,
    spl8_2,
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | spl8_2 ),
    inference(subsumption_resolution,[],[f137,f74]) ).

fof(f74,plain,
    icext(uri_ex_Person,uri_ex_bob),
    inference(resolution,[],[f59,f67]) ).

fof(f67,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
    & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
    & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
    & iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor)
    & iext(uri_rdf_type,sK7,uri_owl_Restriction)
    & iext(uri_rdfs_subClassOf,uri_ex_Person,sK7)
    & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f12,f40]) ).

fof(f40,plain,
    ( ? [X0] :
        ( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
        & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
        & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
        & iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,X0,uri_ex_hasAncestor)
        & iext(uri_rdf_type,X0,uri_owl_Restriction)
        & iext(uri_rdfs_subClassOf,uri_ex_Person,X0)
        & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) )
   => ( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
      & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
      & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
      & iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor)
      & iext(uri_rdf_type,sK7,uri_owl_Restriction)
      & iext(uri_rdfs_subClassOf,uri_ex_Person,sK7)
      & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ? [X0] :
      ( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
      & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
      & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
      & iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_owl_onProperty,X0,uri_ex_hasAncestor)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_rdfs_subClassOf,uri_ex_Person,X0)
      & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ? [X8] :
      ( iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
      & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
      & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
      & iext(uri_owl_minCardinality,X8,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_owl_onProperty,X8,uri_ex_hasAncestor)
      & iext(uri_rdf_type,X8,uri_owl_Restriction)
      & iext(uri_rdfs_subClassOf,uri_ex_Person,X8)
      & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f137,plain,
    ( ~ icext(uri_ex_Person,uri_ex_bob)
    | spl8_2 ),
    inference(resolution,[],[f127,f81]) ).

fof(f81,plain,
    ! [X0] :
      ( icext(sK7,X0)
      | ~ icext(uri_ex_Person,X0) ),
    inference(resolution,[],[f54,f69]) ).

fof(f69,plain,
    sP1(sK7,uri_ex_Person),
    inference(resolution,[],[f57,f62]) ).

fof(f62,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Person,sK7),
    inference(cnf_transformation,[],[f41]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_subClassOf,X0,X1)
      | sP1(X1,X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ sP1(X1,X0) )
      & ( sP1(X1,X0)
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> sP1(X1,X0) ),
    inference(definition_folding,[],[f18,f21]) ).

fof(f21,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(f18,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
      ( iext(uri_rdfs_subClassOf,X5,X6)
    <=> ( ! [X0] :
            ( icext(X5,X0)
           => icext(X6,X0) )
        & ic(X6)
        & ic(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f54,plain,
    ! [X3,X0,X1] :
      ( ~ sP1(X0,X1)
      | ~ icext(X1,X3)
      | icext(X0,X3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ( ~ icext(X0,sK6(X0,X1))
          & icext(X1,sK6(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,[sK6])],[f35,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X0,X2)
          & icext(X1,X2) )
     => ( ~ icext(X0,sK6(X0,X1))
        & icext(X1,sK6(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,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,[],[f34]) ).

fof(f34,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,[],[f33]) ).

fof(f33,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,[],[f21]) ).

fof(f127,plain,
    ( ~ icext(sK7,uri_ex_bob)
    | spl8_2 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl8_2
  <=> icext(sK7,uri_ex_bob) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f136,plain,
    ~ spl8_2,
    inference(avatar_split_clause,[],[f135,f125]) ).

fof(f135,plain,
    ~ icext(sK7,uri_ex_bob),
    inference(resolution,[],[f134,f116]) ).

fof(f116,plain,
    ! [X0] :
      ( iext(uri_ex_hasAncestor,X0,sK5(uri_ex_hasAncestor,X0))
      | ~ icext(sK7,X0) ),
    inference(resolution,[],[f108,f64]) ).

fof(f64,plain,
    iext(uri_owl_onProperty,sK7,uri_ex_hasAncestor),
    inference(cnf_transformation,[],[f41]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onProperty,sK7,X1)
      | ~ icext(sK7,X0)
      | iext(X1,X0,sK5(X1,X0)) ),
    inference(resolution,[],[f50,f65]) ).

fof(f65,plain,
    iext(uri_owl_minCardinality,sK7,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f41]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | iext(X1,X2,sK5(X1,X2)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( icext(X0,X2)
            | ! [X3] : ~ iext(X1,X2,X3) )
          & ( iext(X1,X2,sK5(X1,X2))
            | ~ icext(X0,X2) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f30,f31]) ).

fof(f31,plain,
    ! [X1,X2] :
      ( ? [X4] : iext(X1,X2,X4)
     => iext(X1,X2,sK5(X1,X2)) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( icext(X0,X2)
            | ! [X3] : ~ iext(X1,X2,X3) )
          & ( ? [X4] : iext(X1,X2,X4)
            | ~ icext(X0,X2) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( icext(X0,X2)
            | ! [X3] : ~ iext(X1,X2,X3) )
          & ( ? [X3] : iext(X1,X2,X3)
            | ~ icext(X0,X2) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( icext(X0,X2)
        <=> ? [X3] : iext(X1,X2,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( icext(X0,X2)
        <=> ? [X3] : iext(X1,X2,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X2] :
          ( icext(X0,X2)
        <=> ? [X3] : iext(X1,X2,X3) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X3] :
      ( ( iext(uri_owl_onProperty,X2,X3)
        & iext(uri_owl_minCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X0] :
          ( icext(X2,X0)
        <=> ? [X4] : iext(X3,X0,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).

fof(f134,plain,
    ! [X0] : ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0),
    inference(subsumption_resolution,[],[f132,f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ~ ? [X0] :
        ( iext(uri_ex_hasAncestor,uri_ex_alice,X0)
        & iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ? [X7] :
        ( iext(uri_ex_hasAncestor,uri_ex_alice,X7)
        & iext(uri_ex_hasAncestor,uri_ex_bob,X7) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ? [X7] :
      ( iext(uri_ex_hasAncestor,uri_ex_alice,X7)
      & iext(uri_ex_hasAncestor,uri_ex_bob,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(f132,plain,
    ! [X0] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
      | iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
    inference(resolution,[],[f101,f68]) ).

fof(f68,plain,
    iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
    inference(cnf_transformation,[],[f41]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_ex_hasAncestor,X2,X0)
      | ~ iext(uri_ex_hasAncestor,X0,X1)
      | iext(uri_ex_hasAncestor,X2,X1) ),
    inference(resolution,[],[f44,f77]) ).

fof(f77,plain,
    sP0(uri_ex_hasAncestor),
    inference(resolution,[],[f73,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ icext(uri_owl_TransitiveProperty,X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ( icext(uri_owl_TransitiveProperty,X0)
        | ~ sP0(X0) )
      & ( sP0(X0)
        | ~ icext(uri_owl_TransitiveProperty,X0) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( icext(uri_owl_TransitiveProperty,X0)
    <=> sP0(X0) ),
    inference(definition_folding,[],[f15,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( sP0(X0)
    <=> ( ! [X1,X2,X3] :
            ( iext(X0,X1,X3)
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X2) )
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f15,plain,
    ! [X0] :
      ( icext(uri_owl_TransitiveProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( iext(X0,X1,X3)
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X2) )
        & ip(X0) ) ),
    inference(flattening,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( icext(uri_owl_TransitiveProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( iext(X0,X1,X3)
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X2) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] :
      ( icext(uri_owl_TransitiveProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X2) )
           => iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3] :
      ( icext(uri_owl_TransitiveProperty,X3)
    <=> ( ! [X0,X4,X2] :
            ( ( iext(X3,X4,X2)
              & iext(X3,X0,X4) )
           => iext(X3,X0,X2) )
        & ip(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).

fof(f73,plain,
    icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
    inference(resolution,[],[f59,f61]) ).

fof(f61,plain,
    iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
    inference(cnf_transformation,[],[f41]) ).

fof(f44,plain,
    ! [X0,X6,X4,X5] :
      ( ~ sP0(X0)
      | ~ iext(X0,X5,X6)
      | ~ iext(X0,X4,X5)
      | iext(X0,X4,X6) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( ~ iext(X0,sK2(X0),sK4(X0))
          & iext(X0,sK3(X0),sK4(X0))
          & iext(X0,sK2(X0),sK3(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( iext(X0,X4,X6)
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X5) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f25,f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( ~ iext(X0,X1,X3)
          & iext(X0,X2,X3)
          & iext(X0,X1,X2) )
     => ( ~ iext(X0,sK2(X0),sK4(X0))
        & iext(X0,sK3(X0),sK4(X0))
        & iext(X0,sK2(X0),sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( ~ iext(X0,X1,X3)
            & iext(X0,X2,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( iext(X0,X4,X6)
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X5) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( ~ iext(X0,X1,X3)
            & iext(X0,X2,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( iext(X0,X1,X3)
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X2) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( ~ iext(X0,X1,X3)
            & iext(X0,X2,X3)
            & iext(X0,X1,X2) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( iext(X0,X1,X3)
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X2) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 02:21:13 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (27179)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (27186)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)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [3]
% 0.21/0.39  % (27181)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39  % (27183)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39  % (27184)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39  % (27180)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39  % (27185)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39  % (27182)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)
% 0.21/0.39  TRYING [4]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  Detected minimum model sizes of [1,1,1,1]
% 0.21/0.39  Detected maximum model sizes of [max,1,1,max]
% 0.21/0.39  Detected minimum model sizes of [1,1,1,1]
% 0.21/0.39  Detected maximum model sizes of [max,1,1,max]
% 0.21/0.39  TRYING [1,1,1,1]
% 0.21/0.39  TRYING [1,1,1,1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [2,1,1,1]
% 0.21/0.39  TRYING [2,1,1,1]
% 0.21/0.39  % (27185)First to succeed.
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [3,1,1,1]
% 0.21/0.39  TRYING [3,1,1,1]
% 0.21/0.39  % (27184)Also succeeded, but the first one will report.
% 0.21/0.40  % (27182)Also succeeded, but the first one will report.
% 0.21/0.40  % (27185)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Theorem for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40  % (27185)------------------------------
% 0.21/0.40  % (27185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40  % (27185)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (27185)Memory used [KB]: 829
% 0.21/0.40  % (27185)Time elapsed: 0.010 s
% 0.21/0.40  % (27185)Instructions burned: 7 (million)
% 0.21/0.40  % (27185)------------------------------
% 0.21/0.40  % (27185)------------------------------
% 0.21/0.40  % (27179)Success in time 0.038 s
%------------------------------------------------------------------------------