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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n017.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 : Fri Sep 25 03:04:30 PM UTC 2026

% Result   : Theorem 2.43s 6.28s
% Output   : CNFRefutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   61 (  13 unt;   0 def)
%            Number of atoms       :  244 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  299 ( 116   ~; 110   |;  61   &)
%                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :  127 (   0 sgn 107   !;  20   ?;  22   :)

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

fof(f2,axiom,
    ! [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) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f4,axiom,
    ! [X0] :
      ( icext(uri_owl_TransitiveProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X2) )
           => iext(X0,X1,X3) )
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_transitive) ).

fof(f5,conjecture,
    ? [X0] :
      ( iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      & iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(f6,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_ex_hasAncestor,uri_ex_alice,X0)
        & iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(negated_conjecture,[status(cth)],[f5]) ).

fof(f7,axiom,
    ? [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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(f8,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(ennf_transformation,[],[f2]) ).

fof(f9,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(flattening,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( ~ icext(X0,X2)
            | icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f11,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(ennf_transformation,[],[f4]) ).

fof(f12,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(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f14,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(f15,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) )
          & ( ! [X3] : ~ iext(X1,X2,X3)
            | icext(X0,X2) ) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f16,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)
            | ? [X4] : iext(X1,X2,X4) )
          & ( ! [X3] : ~ iext(X1,X2,X3)
            | icext(X0,X2) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f17,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)
            | iext(X1,X2,sK0(X1,X2)) )
          & ( ! [X3] : ~ iext(X1,X2,X3)
            | icext(X0,X2) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X1,X2))],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X2] :
              ( ~ icext(X0,X2)
              | icext(X1,X2) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ? [X2] :
            ( icext(X0,X2)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
        | ( ! [X3] :
              ( ~ icext(X0,X3)
              | icext(X1,X3) )
          & ic(X1)
          & ic(X0) ) )
      & ( ( icext(X0,sK1(X0,X1))
          & ~ icext(X1,sK1(X0,X1)) )
        | ~ ic(X1)
        | ~ ic(X0)
        | iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f20]) ).

fof(f22,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_TransitiveProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X2)
              | iext(X0,X1,X3) )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X2)
            & ~ iext(X0,X1,X3) )
        | ~ ip(X0)
        | icext(uri_owl_TransitiveProperty,X0) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f23,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_TransitiveProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X2)
              | iext(X0,X1,X3) )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X2)
            & ~ iext(X0,X1,X3) )
        | ~ ip(X0)
        | icext(uri_owl_TransitiveProperty,X0) ) ),
    inference(flattening,[],[f22]) ).

fof(f24,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_TransitiveProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X5)
              | iext(X0,X4,X6) )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X2)
            & ~ iext(X0,X1,X3) )
        | ~ ip(X0)
        | icext(uri_owl_TransitiveProperty,X0) ) ),
    inference(rectify,[],[f23]) ).

fof(f25,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_TransitiveProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X5)
              | iext(X0,X4,X6) )
          & ip(X0) ) )
      & ( ( iext(X0,sK3(X0),sK4(X0))
          & iext(X0,sK2(X0),sK3(X0))
          & ~ iext(X0,sK2(X0),sK4(X0)) )
        | ~ ip(X0)
        | icext(uri_owl_TransitiveProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0))],[f24]) ).

fof(f26,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,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor)
    & iext(uri_rdf_type,sK5,uri_owl_Restriction)
    & iext(uri_rdfs_subClassOf,uri_ex_Person,sK5)
    & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f7]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ icext(X0,X2)
      | iext(X1,X2,sK0(X1,X2)) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f31,plain,
    ! [X3,X0,X1] :
      ( ~ iext(uri_rdfs_subClassOf,X0,X1)
      | ~ icext(X0,X3)
      | icext(X1,X3) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f36,plain,
    ! [X0,X6,X4,X5] :
      ( ~ icext(uri_owl_TransitiveProperty,X0)
      | ~ iext(X0,X5,X6)
      | ~ iext(X0,X4,X5)
      | iext(X0,X4,X6) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f42,plain,
    iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
    inference(cnf_transformation,[],[f26]) ).

fof(f45,plain,
    iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f26]) ).

fof(f46,plain,
    iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor),
    inference(cnf_transformation,[],[f26]) ).

fof(f48,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Person,sK5),
    inference(cnf_transformation,[],[f26]) ).

fof(f49,plain,
    iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X1,X2,sK0(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(cnf_transformation,[],[f29]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X0,X1,X3)
      | ~ icext(uri_owl_TransitiveProperty,X0)
      | ~ iext(X0,X2,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_63,negated_conjecture,
    ! [X0: $i] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_64,plain,
    iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_65,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Person,sK5),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_67,plain,
    iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_68,plain,
    iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_70,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_71,plain,
    iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_273,negated_conjecture,
    ! [X0: $i] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(demodulation,[status(thm)],[c_63]) ).

tcf(c_276,plain,
    ( icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
    | ~ iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_279,plain,
    ( icext(uri_ex_Person,uri_ex_bob)
    | ~ iext(uri_rdf_type,uri_ex_bob,uri_ex_Person) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_282,plain,
    ! [X0: $i,X1: $i] :
      ( iext(X0,X1,sK0(X0,X1))
      | ~ icext(sK5,X1)
      | ~ iext(uri_owl_onProperty,sK5,X0)
      | ~ iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_294,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(uri_ex_hasAncestor,X0,X2)
      | ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
      | ~ iext(uri_ex_hasAncestor,X1,X2)
      | ~ iext(uri_ex_hasAncestor,X0,X1) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_302,plain,
    ! [X0: $i] :
      ( icext(X0,uri_ex_bob)
      | ~ icext(uri_ex_Person,uri_ex_bob)
      | ~ iext(uri_rdfs_subClassOf,uri_ex_Person,X0) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_317,plain,
    ( icext(sK5,uri_ex_bob)
    | ~ icext(uri_ex_Person,uri_ex_bob)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_Person,sK5) ),
    inference(instantiation,[status(thm)],[c_302]) ).

tcf(c_331,plain,
    ! [X0: $i] :
      ( iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      | ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
      | ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(instantiation,[status(thm)],[c_294]) ).

tcf(c_343,plain,
    ! [X0: $i] :
      ( iext(X0,uri_ex_bob,sK0(X0,uri_ex_bob))
      | ~ icext(sK5,uri_ex_bob)
      | ~ iext(uri_owl_onProperty,sK5,X0)
      | ~ iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_442,plain,
    ( iext(uri_ex_hasAncestor,uri_ex_bob,sK0(uri_ex_hasAncestor,uri_ex_bob))
    | ~ icext(sK5,uri_ex_bob)
    | ~ iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor)
    | ~ iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_443,plain,
    ( iext(uri_ex_hasAncestor,uri_ex_alice,sK0(uri_ex_hasAncestor,uri_ex_bob))
    | ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor)
    | ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
    | ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK0(uri_ex_hasAncestor,uri_ex_bob)) ),
    inference(instantiation,[status(thm)],[c_331]) ).

tcf(c_444,plain,
    ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,sK0(uri_ex_hasAncestor,uri_ex_bob))
    | ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK0(uri_ex_hasAncestor,uri_ex_bob)) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_445,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_443,c_444,c_442,c_317,c_279,c_276,c_68,c_64,c_65,c_67,c_70,c_71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37  % Computer : n017.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Thu Sep 24 15:28:51 UTC 2026
% 0.10/5.37  % CPUTime  : 
% 0.10/5.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41  Running first-order theorem proving
% 0.15/5.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.42  
% 0.15/5.42  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42  
% 0.15/5.42  % Detected problem language: tptp
% 0.15/5.43  % Proving...
% 2.43/6.28  % SZS status Started for theBenchmark.p
% 2.43/6.28  % SZS status Theorem for theBenchmark.p
% 2.43/6.28  
% 2.43/6.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.43/6.28  
% 2.43/6.28  % ------  iProver source info
% 2.43/6.28  
% 2.43/6.28  % git: date: 2026-07-19 20:42:38 +0200
% 2.43/6.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.43/6.28  % git: non_committed_changes: false
% 2.43/6.28  
% 2.43/6.28  % ------ Parsing...
% 2.43/6.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.43/6.28  
% 2.43/6.28  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.43/6.28  
% 2.43/6.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.43/6.28  % ------ Proving...
% 2.43/6.28  % ------ Problem Properties 
% 2.43/6.28  
% 2.43/6.28  % 
% 2.43/6.28  % clauses                               19
% 2.43/6.28  % conjectures                           1
% 2.43/6.28  % EPR                                   14
% 2.43/6.28  % Horn                                  18
% 2.43/6.28  % unary                                 8
% 2.43/6.28  % binary                                5
% 2.43/6.28  % lits                                  41
% 2.43/6.28  % lits eq                               0
% 2.43/6.28  % fd_pure                               0
% 2.43/6.28  % fd_pseudo                             0
% 2.43/6.28  % fd_cond                               0
% 2.43/6.28  % fd_pseudo_cond                        0
% 2.43/6.28  % AC symbols                            0
% 2.43/6.28  
% 2.43/6.28  % ------ Schedule dynamic 5 is on 
% 2.43/6.28  
% 2.43/6.28  % ------ no equalities: superposition off 
% 2.43/6.28  
% 2.43/6.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.43/6.28  
% 2.43/6.28  
% 2.43/6.28  % ------ 
% 2.43/6.28  % Current options:
% 2.43/6.28  % ------ 
% 2.43/6.28  
% 2.43/6.28  
% 2.43/6.28  % 
% 2.43/6.28  
% 2.43/6.28  % ------ Proving...
% 2.43/6.28  % 
% 2.43/6.28  
% 2.43/6.28  % SZS status Theorem for theBenchmark.p
% 2.43/6.28  
% 2.43/6.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.43/6.28  
% 2.43/6.28  
%------------------------------------------------------------------------------