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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB046+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n008.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 03:04:34 PM UTC 2026

% Result   : Theorem 127.66s 50.62s
% Output   : CNFRefutation 127.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   77 (  20 unt;   0 def)
%            Number of atoms       :  316 (  40 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  379 ( 140   ~; 155   |;  69   &)
%                                         (  12 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   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  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :  158 (   0 sgn 138   !;  20   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f295,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

fof(f341,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X2) )
        & ic(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_domain) ).

fof(f394,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_inversefunc_ext) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0,X1] :
      ( iext(uri_rdfs_domain,uri_ex_p,X0)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_owl_oneOf,X0,X1)
      & iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_rdf_first,X1,uri_ex_x) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_inversefunc_ext) ).

fof(f572,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f560]) ).

fof(f697,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    inference(ennf_transformation,[],[f295]) ).

fof(f698,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 )
          & ic(X0) ) ) ),
    inference(flattening,[],[f697]) ).

fof(f789,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | icext(X1,X2) )
        & ic(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f341]) ).

fof(f850,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3)
            | X1 = X2 )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f394]) ).

fof(f851,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3)
            | X1 = X2 )
        & ip(X0) ) ),
    inference(flattening,[],[f850]) ).

fof(f1061,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f1139,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X3] :
                ( ( ~ icext(X0,X3)
                  | X3 = X2 )
                & ( X2 != X3
                  | icext(X0,X3) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(nnf_transformation,[],[f698]) ).

fof(f1140,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X3] :
                ( ( ~ icext(X0,X3)
                  | X3 = X2 )
                & ( X2 != X3
                  | icext(X0,X3) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(flattening,[],[f1139]) ).

fof(f1141,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X4] :
                ( ( ~ icext(X0,X4)
                  | X2 = X4 )
                & ( X2 != X4
                  | icext(X0,X4) ) )
            & ic(X0) ) )
        & ( ? [X3] :
              ( ( icext(X0,X3)
                | X3 = X2 )
              & ( ~ icext(X0,X3)
                | X2 != X3 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(rectify,[],[f1140]) ).

fof(f1142,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ( ( ~ iext(uri_owl_oneOf,X0,X1)
          | ( ! [X4] :
                ( ( ~ icext(X0,X4)
                  | X2 = X4 )
                & ( X2 != X4
                  | icext(X0,X4) ) )
            & ic(X0) ) )
        & ( ( ( icext(X0,sK62(X0,X2))
              | sK62(X0,X2) = X2 )
            & ( ~ icext(X0,sK62(X0,X2))
              | sK62(X0,X2) != X2 ) )
          | ~ ic(X0)
          | iext(uri_owl_oneOf,X0,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X3,sK62(X0,X2))],[f1141]) ).

fof(f1304,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X2) )
          & ic(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(nnf_transformation,[],[f789]) ).

fof(f1305,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X2) )
          & ic(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(flattening,[],[f1304]) ).

fof(f1306,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X4) )
          & ic(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X2) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(rectify,[],[f1305]) ).

fof(f1307,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_domain,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X4) )
          & ic(X1)
          & ip(X0) ) )
      & ( ( iext(X0,sK163(X0,X1),sK164(X0,X1))
          & ~ icext(X1,sK163(X0,X1)) )
        | ~ ic(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_domain,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK163,sK164]),skolemize(X2,sK163(X0,X1)),skolemize(X3,sK164(X0,X1))],[f1306]) ).

fof(f1419,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3)
              | X1 = X2 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f851]) ).

fof(f1420,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3)
              | X1 = X2 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f1419]) ).

fof(f1421,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6)
              | X4 = X5 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X0,X1,X3)
            & X1 != X2 )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f1420]) ).

fof(f1422,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6)
              | X4 = X5 )
          & ip(X0) ) )
      & ( ( iext(X0,sK226(X0),sK227(X0))
          & iext(X0,sK225(X0),sK227(X0))
          & sK225(X0) != sK226(X0) )
        | ~ ip(X0)
        | icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK225,sK226,sK227]),skolemize(X1,sK225(X0)),skolemize(X2,sK226(X0)),skolemize(X3,sK227(X0))],[f1421]) ).

fof(f1460,plain,
    ( iext(uri_rdfs_domain,uri_ex_p,sK251)
    & iext(uri_ex_p,uri_ex_x,uri_ex_y)
    & iext(uri_owl_oneOf,sK251,sK252)
    & iext(uri_rdf_rest,sK252,uri_rdf_nil)
    & iext(uri_rdf_first,sK252,uri_ex_x) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK251,sK252]),skolemize(X0,sK251),skolemize(X1,sK252)],[f561]) ).

fof(f1487,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f1917,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ icext(X0,X4)
      | X2 = X4 ),
    inference(cnf_transformation,[],[f1142]) ).

fof(f2301,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X4,X5)
      | icext(X1,X4) ),
    inference(cnf_transformation,[],[f1307]) ).

fof(f2303,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f1307]) ).

fof(f2519,plain,
    ! [X0] :
      ( iext(X0,sK226(X0),sK227(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f1422]) ).

fof(f2520,plain,
    ! [X0] :
      ( iext(X0,sK225(X0),sK227(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f1422]) ).

fof(f2521,plain,
    ! [X0] :
      ( sK225(X0) != sK226(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f1422]) ).

fof(f2750,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f572]) ).

fof(f2751,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK251),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2753,plain,
    iext(uri_owl_oneOf,sK251,sK252),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2754,plain,
    iext(uri_rdf_rest,sK252,uri_rdf_nil),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2755,plain,
    iext(uri_rdf_first,sK252,uri_ex_x),
    inference(cnf_transformation,[],[f1460]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f1487]) ).

tcf(c_509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ~ icext(X2,X3)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_owl_oneOf,X2,X0)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[],[f1917]) ).

tcf(c_891,plain,
    ! [X0: $i,X1: $i] :
      ( ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[],[f2303]) ).

tcf(c_893,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X3,X1)
      | ~ iext(uri_rdfs_domain,X0,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2301]) ).

tcf(c_1093,plain,
    ! [X0: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0)
      | ( sK225(X0) != sK226(X0) ) ),
    inference(cnf_transformation,[],[f2521]) ).

tcf(c_1094,plain,
    ! [X0: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | iext(X0,sK225(X0),sK227(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f2520]) ).

tcf(c_1095,plain,
    ! [X0: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | iext(X0,sK226(X0),sK227(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f2519]) ).

tcf(c_1326,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f2750]) ).

tcf(c_1327,plain,
    iext(uri_rdf_first,sK252,uri_ex_x),
    inference(cnf_transformation,[],[f2755]) ).

tcf(c_1328,plain,
    iext(uri_rdf_rest,sK252,uri_rdf_nil),
    inference(cnf_transformation,[],[f2754]) ).

tcf(c_1329,plain,
    iext(uri_owl_oneOf,sK251,sK252),
    inference(cnf_transformation,[],[f2753]) ).

tcf(c_1331,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK251),
    inference(cnf_transformation,[],[f2751]) ).

tcf(c_100519,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(superposition,[status(thm)],[c_74,c_1326]) ).

tcf(c_100528,plain,
    ip(uri_ex_p),
    inference(superposition,[status(thm)],[c_1331,c_891]) ).

tcf(c_101139,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK225(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(superposition,[status(thm)],[c_1094,c_893]) ).

tcf(c_101140,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK226(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(superposition,[status(thm)],[c_1095,c_893]) ).

tcf(c_101186,plain,
    ! [X0: $i,X1: $i] :
      ( icext(sK251,X0)
      | ~ iext(uri_rdfs_domain,uri_ex_p,sK251)
      | ~ iext(uri_ex_p,X0,X1) ),
    inference(instantiation,[status(thm)],[c_893]) ).

tcf(c_101404,plain,
    ( icext(sK251,sK225(uri_ex_p))
    | ~ iext(uri_rdfs_domain,uri_ex_p,sK251)
    | ~ iext(uri_ex_p,sK225(uri_ex_p),sK227(uri_ex_p)) ),
    inference(instantiation,[status(thm)],[c_101186]) ).

tcf(c_101405,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_ex_p,sK225(uri_ex_p),sK227(uri_ex_p))
    | ~ ip(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_1094]) ).

tcf(c_101406,plain,
    ( icext(sK251,sK226(uri_ex_p))
    | ~ iext(uri_rdfs_domain,uri_ex_p,sK251)
    | ~ iext(uri_ex_p,sK226(uri_ex_p),sK227(uri_ex_p)) ),
    inference(instantiation,[status(thm)],[c_101186]) ).

tcf(c_101407,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_ex_p,sK226(uri_ex_p),sK227(uri_ex_p))
    | ~ ip(uri_ex_p) ),
    inference(instantiation,[status(thm)],[c_1095]) ).

tcf(c_101642,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK225(X0))
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_101139,c_891,c_101139]) ).

tcf(c_101702,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK226(X0))
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_101140,c_891,c_101140]) ).

tcf(c_105225,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK225(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(superposition,[status(thm)],[c_1094,c_893]) ).

tcf(c_105226,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK226(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(superposition,[status(thm)],[c_1095,c_893]) ).

tcf(c_105730,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ~ icext(X1,X2)
      | ~ iext(uri_owl_oneOf,X1,sK252)
      | ~ iext(uri_rdf_first,sK252,X0) ),
    inference(superposition,[status(thm)],[c_1328,c_509]) ).

tcf(c_114271,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK225(X0))
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_105225,c_101642]) ).

tcf(c_114286,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | icext(sK251,sK225(uri_ex_p)) ),
    inference(superposition,[status(thm)],[c_1331,c_114271]) ).

tcf(c_114544,plain,
    icext(sK251,sK225(uri_ex_p)),
    inference(global_subsumption_just,[status(thm)],[c_114286,c_1331,c_100519,c_100528,c_101404,c_101405]) ).

tcf(c_114579,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | icext(X1,sK226(X0))
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_105226,c_101702]) ).

tcf(c_114594,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | icext(sK251,sK226(uri_ex_p)) ),
    inference(superposition,[status(thm)],[c_1331,c_114579]) ).

tcf(c_114829,plain,
    icext(sK251,sK226(uri_ex_p)),
    inference(global_subsumption_just,[status(thm)],[c_114594,c_1331,c_100519,c_100528,c_101406,c_101407]) ).

tcf(c_128057,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = uri_ex_x )
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK252) ),
    inference(superposition,[status(thm)],[c_1327,c_105730]) ).

tcf(c_128058,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_x )
      | ~ icext(sK251,X0) ),
    inference(superposition,[status(thm)],[c_1329,c_128057]) ).

tcf(c_128067,plain,
    sK225(uri_ex_p) = uri_ex_x,
    inference(superposition,[status(thm)],[c_114544,c_128058]) ).

tcf(c_128068,plain,
    sK226(uri_ex_p) = uri_ex_x,
    inference(superposition,[status(thm)],[c_114829,c_128058]) ).

tcf(c_128122,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ ip(uri_ex_p)
    | ( sK225(uri_ex_p) != uri_ex_x ) ),
    inference(superposition,[status(thm)],[c_128068,c_1093]) ).

tcf(c_128132,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_128122,c_128067,c_100528,c_100519]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB046+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/15.40  % Computer : n008.cluster.edu
% 0.09/15.40  % Model    : x86_64 x86_64
% 0.09/15.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.40  % Memory   : 8046.5625MB
% 0.09/15.40  % OS       : Linux 6.8.0-71-generic
% 0.13/15.40  % CPULimit : 300
% 0.13/15.40  % WCLimit  : 300
% 0.13/15.40  % DateTime : Thu Sep 24 15:41:41 UTC 2026
% 0.13/15.40  % CPUTime  : 
% 0.13/15.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/15.44  Running first-order theorem proving
% 0.13/15.44  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/15.45  
% 0.13/15.45  % ======== iProver multi-core TPTP/SMT =========
% 0.13/15.45  
% 0.13/15.45  % Detected problem language: tptp
% 0.13/15.46  % Proving...
% 127.66/50.62  % SZS status Started for theBenchmark.p
% 127.66/50.62  % SZS status Theorem for theBenchmark.p
% 127.66/50.62  
% 127.66/50.62  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 127.66/50.62  
% 127.66/50.62  % ------  iProver source info
% 127.66/50.62  
% 127.66/50.62  % git: date: 2026-07-19 20:42:38 +0200
% 127.66/50.62  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 127.66/50.62  % git: non_committed_changes: false
% 127.66/50.62  
% 127.66/50.62  % ------ Parsing...
% 127.66/50.62  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 127.66/50.62  
% 127.66/50.62  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 127.66/50.62  
% 127.66/50.62  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 127.66/50.62  
% 127.66/50.62  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % ------ Problem Properties 
% 127.66/50.62  
% 127.66/50.62  % 
% 127.66/50.62  % clauses                               1174
% 127.66/50.62  % conjectures                           1
% 127.66/50.62  % EPR                                   714
% 127.66/50.62  % Horn                                  905
% 127.66/50.62  % unary                                 230
% 127.66/50.62  % binary                                455
% 127.66/50.62  % lits                                  3735
% 127.66/50.62  % lits eq                               197
% 127.66/50.62  % fd_pure                               0
% 127.66/50.62  % fd_pseudo                             0
% 127.66/50.62  % fd_cond                               0
% 127.66/50.62  % fd_pseudo_cond                        66
% 127.66/50.62  % AC symbols                            0
% 127.66/50.62  
% 127.66/50.62  % ------ Input Options Time Limit: Unbounded
% 127.66/50.62  
% 127.66/50.62  
% 127.66/50.62  % ------ 
% 127.66/50.62  % Current options:
% 127.66/50.62  % ------ 
% 127.66/50.62  
% 127.66/50.62  
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % ------ Proving...
% 127.66/50.62  % 
% 127.66/50.62  
% 127.66/50.62  % SZS status Theorem for theBenchmark.p
% 127.66/50.62  
% 127.66/50.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 127.66/50.62  
% 127.66/50.62  
%------------------------------------------------------------------------------