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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 : Thu Sep 24 09:01:01 AM UTC 2026

% Result   : Theorem 0.12s 0.41s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('theBenchmark.p',rdfs_cext_def) ).

fof(owl_restrict_mincard_001,axiom,
    ! [Z,P] :
      ( ( iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X] :
          ( icext(Z,X)
        <=> ? [Y] : iext(P,X,Y) ) ),
    file('theBenchmark.p',owl_restrict_mincard_001) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
           => icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('theBenchmark.p',owl_rdfsext_subclassof) ).

fof(owl_char_transitive,axiom,
    ! [P] :
      ( icext(uri_owl_TransitiveProperty,P)
    <=> ( ! [X,Y,Z] :
            ( ( iext(P,Y,Z)
              & iext(P,X,Y) )
           => iext(P,X,Z) )
        & ip(P) ) ),
    file('theBenchmark.p',owl_char_transitive) ).

fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
    ? [BNODE_x] :
      ( iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
      & iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
    file('theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
    ? [BNODE_z] :
      ( 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,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
      & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
      & iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
      & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    file('theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(f_1_1,plain,
    ! [X,C] :
      ( ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).

fof(f_1_2,plain,
    ! [U_1,U_0] :
      ( ( iext(uri_rdf_type,U_1,U_0)
        | ~ icext(U_0,U_1) )
      & ( icext(U_0,U_1)
        | ~ iext(uri_rdf_type,U_1,U_0) ) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_5,U_3] :
        ( iext(uri_rdf_type,U_5,U_3)
        | ~ icext(U_3,U_5) )
    & ! [U_4,U_2] :
        ( icext(U_2,U_4)
        | ~ iext(uri_rdf_type,U_4,U_2) ) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( icext(U_2,U_4)
    | ~ iext(uri_rdf_type,U_4,U_2) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

cnf(f_1_5,plain,
    ( iext(uri_rdf_type,U_5,U_3)
    | ~ icext(U_3,U_5) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ! [Z,P] :
      ( ! [X] :
          ( ( icext(Z,X)
            | ! [Y] : ~ iext(P,X,Y) )
          & ( ? [Y] : iext(P,X,Y)
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(fof_nnf,[status(thm)],[owl_restrict_mincard_001]) ).

fof(f_2_2,plain,
    ! [U_10,U_9] :
      ( ! [U_8] :
          ( ( icext(U_10,U_8)
            | ! [U_7] : ~ iext(U_9,U_8,U_7) )
          & ( ? [U_6] : iext(U_9,U_8,U_6)
            | ~ icext(U_10,U_8) ) )
      | ~ iext(uri_owl_onProperty,U_10,U_9)
      | ~ iext(uri_owl_minCardinality,U_10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    ! [U_10,U_9] :
      ( ( ! [U_12] :
            ( icext(U_10,U_12)
            | ! [U_7] : ~ iext(U_9,U_12,U_7) )
        & ! [U_11] :
            ( ? [U_6] : iext(U_9,U_11,U_6)
            | ~ icext(U_10,U_11) ) )
      | ~ iext(uri_owl_onProperty,U_10,U_9)
      | ~ iext(uri_owl_minCardinality,U_10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(miniscope,[status(thm)],[f_2_2]) ).

fof(f_2_4,plain,
    ! [U_10,U_9] :
      ( ( ! [U_12] :
            ( icext(U_10,U_12)
            | ! [U_7] : ~ iext(U_9,U_12,U_7) )
        & ! [U_11] :
            ( iext(U_9,U_11,sK1(U_10,U_9,U_11))
            | ~ icext(U_10,U_11) ) )
      | ~ iext(uri_owl_onProperty,U_10,U_9)
      | ~ iext(uri_owl_minCardinality,U_10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_10,U_9,U_11))],[f_2_3]) ).

cnf(f_2_5,plain,
    ( iext(U_9,U_11,sK1(U_10,U_9,U_11))
    | ~ icext(U_10,U_11)
    | ~ iext(uri_owl_onProperty,U_10,U_9)
    | ~ iext(uri_owl_minCardinality,U_10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(clausify,[status(thm)],[f_2_4]) ).

cnf(f_2_6,plain,
    ( icext(U_10,U_12)
    | ~ iext(U_9,U_12,U_7)
    | ~ iext(uri_owl_onProperty,U_10,U_9)
    | ~ iext(uri_owl_minCardinality,U_10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(clausify,[status(thm)],[f_2_4]) ).

fof(f_3_1,plain,
    ! [C1,C2] :
      ( ( iext(uri_rdfs_subClassOf,C1,C2)
        | ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1) )
      & ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof]) ).

fof(f_3_2,plain,
    ! [U_16,U_15] :
      ( ( iext(uri_rdfs_subClassOf,U_16,U_15)
        | ? [U_14] :
            ( ~ icext(U_15,U_14)
            & icext(U_16,U_14) )
        | ~ ic(U_15)
        | ~ ic(U_16) )
      & ( ( ! [U_13] :
              ( icext(U_15,U_13)
              | ~ icext(U_16,U_13) )
          & ic(U_15)
          & ic(U_16) )
        | ~ iext(uri_rdfs_subClassOf,U_16,U_15) ) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ( ! [U_20,U_18] :
        ( iext(uri_rdfs_subClassOf,U_20,U_18)
        | ? [U_14] :
            ( ~ icext(U_18,U_14)
            & icext(U_20,U_14) )
        | ~ ic(U_18)
        | ~ ic(U_20) )
    & ! [U_19,U_17] :
        ( ( ! [U_13] :
              ( icext(U_17,U_13)
              | ~ icext(U_19,U_13) )
          & ic(U_17)
          & ic(U_19) )
        | ~ iext(uri_rdfs_subClassOf,U_19,U_17) ) ),
    inference(miniscope,[status(thm)],[f_3_2]) ).

fof(f_3_4,plain,
    ( ! [U_20,U_18] :
        ( iext(uri_rdfs_subClassOf,U_20,U_18)
        | ( ~ icext(U_18,sK2(U_20,U_18))
          & icext(U_20,sK2(U_20,U_18)) )
        | ~ ic(U_18)
        | ~ ic(U_20) )
    & ! [U_19,U_17] :
        ( ( ! [U_13] :
              ( icext(U_17,U_13)
              | ~ icext(U_19,U_13) )
          & ic(U_17)
          & ic(U_19) )
        | ~ iext(uri_rdfs_subClassOf,U_19,U_17) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_14,sK2(U_20,U_18))],[f_3_3]) ).

cnf(f_3_5,plain,
    ( ic(U_19)
    | ~ iext(uri_rdfs_subClassOf,U_19,U_17) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_6,plain,
    ( ic(U_17)
    | ~ iext(uri_rdfs_subClassOf,U_19,U_17) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_7,plain,
    ( icext(U_17,U_13)
    | ~ icext(U_19,U_13)
    | ~ iext(uri_rdfs_subClassOf,U_19,U_17) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_8,plain,
    ( icext(U_20,sK2(U_20,U_18))
    | ~ ic(U_18)
    | ~ ic(U_20)
    | iext(uri_rdfs_subClassOf,U_20,U_18) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_9,plain,
    ( ~ icext(U_18,sK2(U_20,U_18))
    | ~ ic(U_18)
    | ~ ic(U_20)
    | iext(uri_rdfs_subClassOf,U_20,U_18) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

fof(f_4_1,plain,
    ! [P] :
      ( ( icext(uri_owl_TransitiveProperty,P)
        | ? [X,Y,Z] :
            ( ~ iext(P,X,Z)
            & iext(P,Y,Z)
            & iext(P,X,Y) )
        | ~ ip(P) )
      & ( ( ! [X,Y,Z] :
              ( iext(P,X,Z)
              | ~ iext(P,Y,Z)
              | ~ iext(P,X,Y) )
          & ip(P) )
        | ~ icext(uri_owl_TransitiveProperty,P) ) ),
    inference(fof_nnf,[status(thm)],[owl_char_transitive]) ).

fof(f_4_2,plain,
    ! [U_27] :
      ( ( icext(uri_owl_TransitiveProperty,U_27)
        | ? [U_26,U_25,U_24] :
            ( ~ iext(U_27,U_26,U_24)
            & iext(U_27,U_25,U_24)
            & iext(U_27,U_26,U_25) )
        | ~ ip(U_27) )
      & ( ( ! [U_23,U_22,U_21] :
              ( iext(U_27,U_23,U_21)
              | ~ iext(U_27,U_22,U_21)
              | ~ iext(U_27,U_23,U_22) )
          & ip(U_27) )
        | ~ icext(uri_owl_TransitiveProperty,U_27) ) ),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

fof(f_4_3,plain,
    ( ! [U_29] :
        ( icext(uri_owl_TransitiveProperty,U_29)
        | ? [U_26,U_25,U_24] :
            ( ~ iext(U_29,U_26,U_24)
            & iext(U_29,U_25,U_24)
            & iext(U_29,U_26,U_25) )
        | ~ ip(U_29) )
    & ! [U_28] :
        ( ( ! [U_23,U_22,U_21] :
              ( iext(U_28,U_23,U_21)
              | ~ iext(U_28,U_22,U_21)
              | ~ iext(U_28,U_23,U_22) )
          & ip(U_28) )
        | ~ icext(uri_owl_TransitiveProperty,U_28) ) ),
    inference(miniscope,[status(thm)],[f_4_2]) ).

fof(f_4_4,plain,
    ( ! [U_29] :
        ( icext(uri_owl_TransitiveProperty,U_29)
        | ? [U_25,U_24] :
            ( ~ iext(U_29,sK3(U_29),U_24)
            & iext(U_29,U_25,U_24)
            & iext(U_29,sK3(U_29),U_25) )
        | ~ ip(U_29) )
    & ! [U_28] :
        ( ( ! [U_23,U_22,U_21] :
              ( iext(U_28,U_23,U_21)
              | ~ iext(U_28,U_22,U_21)
              | ~ iext(U_28,U_23,U_22) )
          & ip(U_28) )
        | ~ icext(uri_owl_TransitiveProperty,U_28) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_26,sK3(U_29))],[f_4_3]) ).

fof(f_4_5,plain,
    ( ! [U_29] :
        ( icext(uri_owl_TransitiveProperty,U_29)
        | ? [U_24] :
            ( ~ iext(U_29,sK3(U_29),U_24)
            & iext(U_29,sK4(U_29),U_24)
            & iext(U_29,sK3(U_29),sK4(U_29)) )
        | ~ ip(U_29) )
    & ! [U_28] :
        ( ( ! [U_23,U_22,U_21] :
              ( iext(U_28,U_23,U_21)
              | ~ iext(U_28,U_22,U_21)
              | ~ iext(U_28,U_23,U_22) )
          & ip(U_28) )
        | ~ icext(uri_owl_TransitiveProperty,U_28) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_25,sK4(U_29))],[f_4_4]) ).

fof(f_4_6,plain,
    ( ! [U_29] :
        ( icext(uri_owl_TransitiveProperty,U_29)
        | ( ~ iext(U_29,sK3(U_29),sK5(U_29))
          & iext(U_29,sK4(U_29),sK5(U_29))
          & iext(U_29,sK3(U_29),sK4(U_29)) )
        | ~ ip(U_29) )
    & ! [U_28] :
        ( ( ! [U_23,U_22,U_21] :
              ( iext(U_28,U_23,U_21)
              | ~ iext(U_28,U_22,U_21)
              | ~ iext(U_28,U_23,U_22) )
          & ip(U_28) )
        | ~ icext(uri_owl_TransitiveProperty,U_28) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_24,sK5(U_29))],[f_4_5]) ).

cnf(f_4_7,plain,
    ( ip(U_28)
    | ~ icext(uri_owl_TransitiveProperty,U_28) ),
    inference(clausify,[status(thm)],[f_4_6]) ).

cnf(f_4_8,plain,
    ( iext(U_28,U_23,U_21)
    | ~ iext(U_28,U_22,U_21)
    | ~ iext(U_28,U_23,U_22)
    | ~ icext(uri_owl_TransitiveProperty,U_28) ),
    inference(clausify,[status(thm)],[f_4_6]) ).

cnf(f_4_9,plain,
    ( iext(U_29,sK3(U_29),sK4(U_29))
    | ~ ip(U_29)
    | icext(uri_owl_TransitiveProperty,U_29) ),
    inference(clausify,[status(thm)],[f_4_6]) ).

cnf(f_4_10,plain,
    ( iext(U_29,sK4(U_29),sK5(U_29))
    | ~ ip(U_29)
    | icext(uri_owl_TransitiveProperty,U_29) ),
    inference(clausify,[status(thm)],[f_4_6]) ).

cnf(f_4_11,plain,
    ( ~ iext(U_29,sK3(U_29),sK5(U_29))
    | ~ ip(U_29)
    | icext(uri_owl_TransitiveProperty,U_29) ),
    inference(clausify,[status(thm)],[f_4_6]) ).

fof(f_5_1,negated_conjecture,
    ~ ? [BNODE_x] :
        ( iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
        & iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
    inference(negate,[status(cth)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

fof(f_5_2,negated_conjecture,
    ! [BNODE_x] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x) ),
    inference(fof_nnf,[status(thm)],[f_5_1]) ).

fof(f_5_3,negated_conjecture,
    ! [U_30] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,U_30)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,U_30) ),
    inference(variable_rename,[status(thm)],[f_5_2]) ).

fof(f_5_4,negated_conjecture,
    ! [U_30] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,U_30)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,U_30) ),
    inference(definitional_conversion,[status(esa)],[f_5_3]) ).

cnf(f_5_5,negated_conjecture,
    ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,U_30)
    | ~ iext(uri_ex_hasAncestor,uri_ex_bob,U_30) ),
    inference(clausify,[status(thm)],[f_5_4]) ).

fof(f_6_1,plain,
    ? [BNODE_z] :
      ( 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,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
      & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
      & iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
      & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(fof_nnf,[status(thm)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).

fof(f_6_2,plain,
    ? [U_31] :
      ( 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,U_31,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_owl_onProperty,U_31,uri_ex_hasAncestor)
      & iext(uri_rdf_type,U_31,uri_owl_Restriction)
      & iext(uri_rdfs_subClassOf,uri_ex_Person,U_31)
      & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

fof(f_6_3,plain,
    ( ? [U_31] :
        ( iext(uri_owl_minCardinality,U_31,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,U_31,uri_ex_hasAncestor)
        & iext(uri_rdf_type,U_31,uri_owl_Restriction)
        & iext(uri_rdfs_subClassOf,uri_ex_Person,U_31) )
    & 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_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(miniscope,[status(thm)],[f_6_2]) ).

fof(f_6_4,plain,
    ( iext(uri_owl_minCardinality,sK6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,sK6,uri_ex_hasAncestor)
    & iext(uri_rdf_type,sK6,uri_owl_Restriction)
    & iext(uri_rdfs_subClassOf,uri_ex_Person,sK6)
    & 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_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_31,sK6)],[f_6_3]) ).

cnf(f_6_5,plain,
    iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_6,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_ex_Person),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_7,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_8,plain,
    iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_9,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Person,sK6),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_10,plain,
    iext(uri_rdf_type,sK6,uri_owl_Restriction),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_11,plain,
    iext(uri_owl_onProperty,sK6,uri_ex_hasAncestor),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_12,plain,
    iext(uri_owl_minCardinality,sK6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n004.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 20 01:13:34 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.41  % SZS status Theorem for theBenchmark
% 0.12/0.41  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------