↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB044+1 : 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 : n003.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 10.36s 2.31s
% Output   : CNFRefutation 10.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   99 (  33 unt;   0 def)
%            Number of atoms       :  381 (  33 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  443 ( 161   ~; 170   |;  94   &)
%                                         (  14 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 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    :   23 (  23 usr;  16 con; 0-2 aty)
%            Number of variables   :  199 (   0 sgn 174   !;  25   ?;  49   :)

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

fof(f342,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_range) ).

fof(f345,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(f392,axiom,
    ! [X0] :
      ( icext(uri_owl_AsymmetricProperty,X0)
    <=> ( ! [X1,X2] :
            ( iext(X0,X1,X2)
           => ~ iext(X0,X2,X1) )
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_asymmetric) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_AsymmetricProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_asymmetric_ext) ).

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

fof(f561,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdf_rest,X1,uri_rdf_nil)
      & iext(uri_rdf_first,X1,uri_ex_x)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_first,X3,uri_ex_y)
      & iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
      & iext(uri_ex_p,uri_ex_x,uri_ex_y)
      & iext(uri_owl_oneOf,X0,X1)
      & iext(uri_rdfs_range,uri_ex_p,X2)
      & iext(uri_rdfs_domain,uri_ex_p,X0)
      & iext(uri_owl_oneOf,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_asymmetric_ext) ).

fof(f572,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_AsymmetricProperty),
    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(f790,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f342]) ).

fof(f847,plain,
    ! [X0] :
      ( icext(uri_owl_AsymmetricProperty,X0)
    <=> ( ! [X1,X2] :
            ( ~ iext(X0,X1,X2)
            | ~ iext(X0,X2,X1) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f392]) ).

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(f1308,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f790]) ).

fof(f1309,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | icext(X1,X3) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(flattening,[],[f1308]) ).

fof(f1310,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ? [X2,X3] :
            ( iext(X0,X2,X3)
            & ~ icext(X1,X3) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(rectify,[],[f1309]) ).

fof(f1311,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdfs_range,X0,X1)
        | ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | icext(X1,X5) )
          & ip(X1)
          & ip(X0) ) )
      & ( ( iext(X0,sK165(X0,X1),sK166(X0,X1))
          & ~ icext(X1,sK166(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0)
        | iext(uri_rdfs_range,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK165,sK166]),skolemize(X2,sK165(X0,X1)),skolemize(X3,sK166(X0,X1))],[f1310]) ).

fof(f1320,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_differentFrom,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f1411,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_AsymmetricProperty,X0)
        | ( ! [X1,X2] :
              ( ~ iext(X0,X1,X2)
              | ~ iext(X0,X2,X1) )
          & ip(X0) ) )
      & ( ? [X1,X2] :
            ( iext(X0,X1,X2)
            & iext(X0,X2,X1) )
        | ~ ip(X0)
        | icext(uri_owl_AsymmetricProperty,X0) ) ),
    inference(nnf_transformation,[],[f847]) ).

fof(f1412,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_AsymmetricProperty,X0)
        | ( ! [X1,X2] :
              ( ~ iext(X0,X1,X2)
              | ~ iext(X0,X2,X1) )
          & ip(X0) ) )
      & ( ? [X1,X2] :
            ( iext(X0,X1,X2)
            & iext(X0,X2,X1) )
        | ~ ip(X0)
        | icext(uri_owl_AsymmetricProperty,X0) ) ),
    inference(flattening,[],[f1411]) ).

fof(f1413,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_AsymmetricProperty,X0)
        | ( ! [X3,X4] :
              ( ~ iext(X0,X3,X4)
              | ~ iext(X0,X4,X3) )
          & ip(X0) ) )
      & ( ? [X1,X2] :
            ( iext(X0,X1,X2)
            & iext(X0,X2,X1) )
        | ~ ip(X0)
        | icext(uri_owl_AsymmetricProperty,X0) ) ),
    inference(rectify,[],[f1412]) ).

fof(f1414,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_AsymmetricProperty,X0)
        | ( ! [X3,X4] :
              ( ~ iext(X0,X3,X4)
              | ~ iext(X0,X4,X3) )
          & ip(X0) ) )
      & ( ( iext(X0,sK220(X0),sK221(X0))
          & iext(X0,sK221(X0),sK220(X0)) )
        | ~ ip(X0)
        | icext(uri_owl_AsymmetricProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK220,sK221]),skolemize(X1,sK220(X0)),skolemize(X2,sK221(X0))],[f1413]) ).

fof(f1460,plain,
    ( iext(uri_rdf_rest,sK252,uri_rdf_nil)
    & iext(uri_rdf_first,sK252,uri_ex_x)
    & iext(uri_rdf_rest,sK254,uri_rdf_nil)
    & iext(uri_rdf_first,sK254,uri_ex_y)
    & iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
    & iext(uri_ex_p,uri_ex_x,uri_ex_y)
    & iext(uri_owl_oneOf,sK251,sK252)
    & iext(uri_rdfs_range,uri_ex_p,sK253)
    & iext(uri_rdfs_domain,uri_ex_p,sK251)
    & iext(uri_owl_oneOf,sK253,sK254) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK251,sK252,sK253,sK254]),skolemize(X0,sK251),skolemize(X1,sK252),skolemize(X2,sK253),skolemize(X3,sK254)],[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(f2306,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | ~ iext(X0,X4,X5)
      | icext(X1,X5) ),
    inference(cnf_transformation,[],[f1311]) ).

fof(f2308,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f1311]) ).

fof(f2321,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_differentFrom,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1320]) ).

fof(f2510,plain,
    ! [X0] :
      ( iext(X0,sK220(X0),sK221(X0))
      | ~ ip(X0)
      | icext(uri_owl_AsymmetricProperty,X0) ),
    inference(cnf_transformation,[],[f1414]) ).

fof(f2511,plain,
    ! [X0] :
      ( iext(X0,sK221(X0),sK220(X0))
      | ~ ip(X0)
      | icext(uri_owl_AsymmetricProperty,X0) ),
    inference(cnf_transformation,[],[f1414]) ).

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

fof(f2751,plain,
    iext(uri_rdf_rest,sK252,uri_rdf_nil),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2752,plain,
    iext(uri_rdf_first,sK252,uri_ex_x),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2753,plain,
    iext(uri_rdf_rest,sK254,uri_rdf_nil),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2754,plain,
    iext(uri_rdf_first,sK254,uri_ex_y),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2755,plain,
    iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2757,plain,
    iext(uri_owl_oneOf,sK251,sK252),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2758,plain,
    iext(uri_rdfs_range,uri_ex_p,sK253),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2759,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK251),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2760,plain,
    iext(uri_owl_oneOf,sK253,sK254),
    inference(cnf_transformation,[],[f1460]) ).

fof(f2767,plain,
    ! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
    inference(equality_resolution,[],[f2321]) ).

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_896,plain,
    ! [X0: $i,X1: $i] :
      ( ip(X0)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f2308]) ).

tcf(c_898,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(X3,X2)
      | ~ iext(uri_rdfs_range,X0,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2306]) ).

tcf(c_910,plain,
    ! [X0: $i] : ~ iext(uri_owl_differentFrom,X0,X0),
    inference(cnf_transformation,[],[f2767]) ).

tcf(c_1084,plain,
    ! [X0: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | iext(X0,sK221(X0),sK220(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f2511]) ).

tcf(c_1085,plain,
    ! [X0: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | iext(X0,sK220(X0),sK221(X0))
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f2510]) ).

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

tcf(c_1327,plain,
    iext(uri_owl_oneOf,sK253,sK254),
    inference(cnf_transformation,[],[f2760]) ).

tcf(c_1328,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK251),
    inference(cnf_transformation,[],[f2759]) ).

tcf(c_1329,plain,
    iext(uri_rdfs_range,uri_ex_p,sK253),
    inference(cnf_transformation,[],[f2758]) ).

tcf(c_1330,plain,
    iext(uri_owl_oneOf,sK251,sK252),
    inference(cnf_transformation,[],[f2757]) ).

tcf(c_1332,plain,
    iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y),
    inference(cnf_transformation,[],[f2755]) ).

tcf(c_1333,plain,
    iext(uri_rdf_first,sK254,uri_ex_y),
    inference(cnf_transformation,[],[f2754]) ).

tcf(c_1334,plain,
    iext(uri_rdf_rest,sK254,uri_rdf_nil),
    inference(cnf_transformation,[],[f2753]) ).

tcf(c_1335,plain,
    iext(uri_rdf_first,sK252,uri_ex_x),
    inference(cnf_transformation,[],[f2752]) ).

tcf(c_1336,plain,
    iext(uri_rdf_rest,sK252,uri_rdf_nil),
    inference(cnf_transformation,[],[f2751]) ).

tcf(c_1367,plain,
    ~ icext(uri_owl_AsymmetricProperty,uri_ex_p),
    inference(superposition,[status(thm)],[c_74,c_1326]) ).

tcf(c_2118,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(superposition,[status(thm)],[c_1084,c_898]) ).

tcf(c_2189,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(superposition,[status(thm)],[c_1085,c_893]) ).

tcf(c_2616,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_2118,c_896,c_2118]) ).

tcf(c_2629,plain,
    ( icext(uri_owl_AsymmetricProperty,uri_ex_p)
    | icext(sK253,sK220(uri_ex_p)) ),
    inference(superposition,[status(thm)],[c_1329,c_2616]) ).

tcf(c_2738,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_2189,c_891,c_2189]) ).

tcf(c_2752,plain,
    ( icext(uri_owl_AsymmetricProperty,uri_ex_p)
    | icext(sK251,sK220(uri_ex_p)) ),
    inference(superposition,[status(thm)],[c_1328,c_2738]) ).

tcf(c_5294,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(superposition,[status(thm)],[c_1084,c_898]) ).

tcf(c_5347,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(superposition,[status(thm)],[c_1085,c_893]) ).

tcf(c_5785,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ~ icext(X1,X2)
      | ~ iext(uri_owl_oneOf,X1,sK254)
      | ~ iext(uri_rdf_first,sK254,X0) ),
    inference(superposition,[status(thm)],[c_1334,c_509]) ).

tcf(c_5786,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_1336,c_509]) ).

tcf(c_6603,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_5294,c_2616]) ).

tcf(c_6619,plain,
    ( icext(uri_owl_AsymmetricProperty,uri_ex_p)
    | icext(sK253,sK220(uri_ex_p)) ),
    inference(superposition,[status(thm)],[c_1329,c_6603]) ).

tcf(c_6809,plain,
    ! [X0: $i,X1: $i] :
      ( icext(uri_owl_AsymmetricProperty,X0)
      | icext(X1,sK220(X0))
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_5347,c_2738]) ).

tcf(c_6825,plain,
    ( icext(uri_owl_AsymmetricProperty,uri_ex_p)
    | icext(sK251,sK220(uri_ex_p)) ),
    inference(superposition,[status(thm)],[c_1328,c_6809]) ).

tcf(c_7111,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = uri_ex_x )
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK252) ),
    inference(superposition,[status(thm)],[c_1335,c_5786]) ).

tcf(c_7121,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = uri_ex_y )
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK254) ),
    inference(superposition,[status(thm)],[c_1333,c_5785]) ).

tcf(c_8415,plain,
    icext(sK253,sK220(uri_ex_p)),
    inference(global_subsumption_just,[status(thm)],[c_6619,c_1367,c_2629]) ).

tcf(c_8486,plain,
    icext(sK251,sK220(uri_ex_p)),
    inference(global_subsumption_just,[status(thm)],[c_6825,c_1367,c_2752]) ).

tcf(c_8989,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_x )
      | ~ icext(sK251,X0) ),
    inference(superposition,[status(thm)],[c_1330,c_7111]) ).

tcf(c_8997,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_y )
      | ~ icext(sK253,X0) ),
    inference(superposition,[status(thm)],[c_1327,c_7121]) ).

tcf(c_11395,plain,
    sK220(uri_ex_p) = uri_ex_x,
    inference(superposition,[status(thm)],[c_8486,c_8989]) ).

tcf(c_11401,plain,
    icext(sK253,uri_ex_x),
    inference(demodulation,[status(thm)],[c_8415,c_11395]) ).

tcf(c_12763,plain,
    uri_ex_x = uri_ex_y,
    inference(superposition,[status(thm)],[c_11401,c_8997]) ).

tcf(c_12779,plain,
    iext(uri_owl_differentFrom,uri_ex_x,uri_ex_x),
    inference(demodulation,[status(thm)],[c_1332,c_12763]) ).

tcf(c_13381,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12779,c_910]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB044+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n003.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Thu Sep 24 15:41:22 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  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
% 0.12/0.40  
% 0.12/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40  
% 0.12/0.40  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 10.36/2.31  % SZS status Started for theBenchmark.p
% 10.36/2.31  % SZS status Theorem for theBenchmark.p
% 10.36/2.31  
% 10.36/2.31  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.36/2.31  
% 10.36/2.31  % ------  iProver source info
% 10.36/2.31  
% 10.36/2.31  % git: date: 2026-07-19 20:42:38 +0200
% 10.36/2.31  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.36/2.31  % git: non_committed_changes: false
% 10.36/2.31  
% 10.36/2.31  % ------ Parsing...
% 10.36/2.31  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 10.36/2.31  % ------ Proving...
% 10.36/2.31  % ------ Problem Properties 
% 10.36/2.31  
% 10.36/2.31  % 
% 10.36/2.31  % clauses                               1288
% 10.36/2.31  % conjectures                           1
% 10.36/2.31  % EPR                                   827
% 10.36/2.31  % Horn                                  1013
% 10.36/2.31  % unary                                 217
% 10.36/2.31  % binary                                547
% 10.36/2.31  % lits                                  4069
% 10.36/2.31  % lits eq                               197
% 10.36/2.31  % fd_pure                               0
% 10.36/2.31  % fd_pseudo                             0
% 10.36/2.31  % fd_cond                               0
% 10.36/2.31  % fd_pseudo_cond                        66
% 10.36/2.31  % AC symbols                            0
% 10.36/2.32  
% 10.36/2.32  % ------ Input Options Time Limit: Unbounded
% 10.36/2.32  
% 10.36/2.32  
% 10.36/2.32  % ------ 
% 10.36/2.32  % Current options:
% 10.36/2.32  % ------ 
% 10.36/2.32  
% 10.36/2.32  
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % ------ Proving...
% 10.36/2.32  % 
% 10.36/2.32  
% 10.36/2.32  % SZS status Theorem for theBenchmark.p
% 10.36/2.32  
% 10.36/2.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.36/2.32  
% 10.36/2.32  
%------------------------------------------------------------------------------