TSTP Solution File: SWB026+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:46:57 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   83 (  21 unt;   0 def)
%            Number of atoms       :  323 (  46 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  357 ( 117   ~; 117   |;  94   &)
%                                         (  20 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-2 aty)
%            Number of variables   :  167 ( 139   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f227,plain,
    $false,
    inference(subsumption_resolution,[],[f226,f110]) ).

fof(f110,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f104,f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_Property,X0)
      | ip(X0) ),
    inference(resolution,[],[f56,f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
      | ip(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ( iext(uri_rdf_type,X0,uri_rdf_Property)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f56,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f104,plain,
    icext(uri_rdf_Property,uri_ex_p),
    inference(resolution,[],[f99,f66]) ).

fof(f66,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK7),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( iext(uri_rdf_rest,sK10,uri_rdf_nil)
    & iext(uri_rdf_first,sK10,uri_ex_u)
    & iext(uri_owl_oneOf,sK8,sK10)
    & iext(uri_rdfs_range,uri_ex_p,sK8)
    & iext(uri_rdf_rest,sK9,uri_rdf_nil)
    & iext(uri_rdf_first,sK9,uri_ex_w)
    & iext(uri_owl_oneOf,sK7,sK9)
    & iext(uri_rdfs_domain,uri_ex_p,sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f15,f42]) ).

fof(f42,plain,
    ( ? [X0,X1,X2,X3] :
        ( iext(uri_rdf_rest,X3,uri_rdf_nil)
        & iext(uri_rdf_first,X3,uri_ex_u)
        & iext(uri_owl_oneOf,X1,X3)
        & iext(uri_rdfs_range,uri_ex_p,X1)
        & iext(uri_rdf_rest,X2,uri_rdf_nil)
        & iext(uri_rdf_first,X2,uri_ex_w)
        & iext(uri_owl_oneOf,X0,X2)
        & iext(uri_rdfs_domain,uri_ex_p,X0) )
   => ( iext(uri_rdf_rest,sK10,uri_rdf_nil)
      & iext(uri_rdf_first,sK10,uri_ex_u)
      & iext(uri_owl_oneOf,sK8,sK10)
      & iext(uri_rdfs_range,uri_ex_p,sK8)
      & iext(uri_rdf_rest,sK9,uri_rdf_nil)
      & iext(uri_rdf_first,sK9,uri_ex_w)
      & iext(uri_owl_oneOf,sK7,sK9)
      & iext(uri_rdfs_domain,uri_ex_p,sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_first,X3,uri_ex_u)
      & iext(uri_owl_oneOf,X1,X3)
      & iext(uri_rdfs_range,uri_ex_p,X1)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_first,X2,uri_ex_w)
      & iext(uri_owl_oneOf,X0,X2)
      & iext(uri_rdfs_domain,uri_ex_p,X0) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ? [X9,X10,X11,X12] :
      ( iext(uri_rdf_rest,X12,uri_rdf_nil)
      & iext(uri_rdf_first,X12,uri_ex_u)
      & iext(uri_owl_oneOf,X10,X12)
      & iext(uri_rdfs_range,uri_ex_p,X10)
      & iext(uri_rdf_rest,X11,uri_rdf_nil)
      & iext(uri_rdf_first,X11,uri_ex_w)
      & iext(uri_owl_oneOf,X9,X11)
      & iext(uri_rdfs_domain,uri_ex_p,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(uri_rdf_Property,X0) ),
    inference(resolution,[],[f65,f45]) ).

fof(f45,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).

fof(f65,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3)
      | icext(X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3] :
      ( ( iext(X0,X2,X3)
        & iext(uri_rdfs_domain,X0,X1) )
     => icext(X1,X2) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X2,X1,X3] :
      ( ( iext(X0,X1,X3)
        & iext(uri_rdfs_domain,X0,X2) )
     => icext(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f226,plain,
    ~ ip(uri_ex_p),
    inference(subsumption_resolution,[],[f225,f82]) ).

fof(f82,plain,
    ~ sP0(uri_ex_p),
    inference(resolution,[],[f79,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ sP0(X0) )
      & ( sP0(X0)
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> sP0(X0) ),
    inference(definition_folding,[],[f17,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( sP0(X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f17,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X7,X8,X3] :
            ( ( iext(X0,X8,X3)
              & iext(X0,X7,X3) )
           => X7 = X8 )
        & ip(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f79,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(resolution,[],[f56,f44]) ).

fof(f44,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f225,plain,
    ( sP0(uri_ex_p)
    | ~ ip(uri_ex_p) ),
    inference(subsumption_resolution,[],[f222,f212]) ).

fof(f212,plain,
    uri_ex_w = sK3(uri_ex_p),
    inference(resolution,[],[f208,f114]) ).

fof(f114,plain,
    icext(sK7,sK3(uri_ex_p)),
    inference(subsumption_resolution,[],[f113,f110]) ).

fof(f113,plain,
    ( icext(sK7,sK3(uri_ex_p))
    | ~ ip(uri_ex_p) ),
    inference(subsumption_resolution,[],[f111,f82]) ).

fof(f111,plain,
    ( icext(sK7,sK3(uri_ex_p))
    | sP0(uri_ex_p)
    | ~ ip(uri_ex_p) ),
    inference(resolution,[],[f100,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( iext(X0,sK3(X0),sK5(X0))
      | sP0(X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( sK3(X0) != sK4(X0)
          & iext(X0,sK4(X0),sK5(X0))
          & iext(X0,sK3(X0),sK5(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f29,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK3(X0) != sK4(X0)
        & iext(X0,sK4(X0),sK5(X0))
        & iext(X0,sK3(X0),sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X1)
      | icext(sK7,X0) ),
    inference(resolution,[],[f65,f66]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ icext(sK7,X0)
      | uri_ex_w = X0 ),
    inference(resolution,[],[f207,f60]) ).

fof(f60,plain,
    ! [X3,X0,X1] :
      ( ~ sP1(X0,X1)
      | ~ icext(X1,X3)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ( ( sK6(X0,X1) != X0
            | ~ icext(X1,sK6(X0,X1)) )
          & ( sK6(X0,X1) = X0
            | icext(X1,sK6(X0,X1)) ) )
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ( icext(X1,X3)
                | X0 != X3 )
              & ( X0 = X3
                | ~ icext(X1,X3) ) )
          & ic(X1) )
        | ~ sP1(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f39,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( X0 != X2
            | ~ icext(X1,X2) )
          & ( X0 = X2
            | icext(X1,X2) ) )
     => ( ( sK6(X0,X1) != X0
          | ~ icext(X1,sK6(X0,X1)) )
        & ( sK6(X0,X1) = X0
          | icext(X1,sK6(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ? [X2] :
            ( ( X0 != X2
              | ~ icext(X1,X2) )
            & ( X0 = X2
              | icext(X1,X2) ) )
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ( icext(X1,X3)
                | X0 != X3 )
              & ( X0 = X3
                | ~ icext(X1,X3) ) )
          & ic(X1) )
        | ~ sP1(X0,X1) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ! [X2,X0] :
      ( ( sP1(X2,X0)
        | ? [X3] :
            ( ( X2 != X3
              | ~ icext(X0,X3) )
            & ( X2 = X3
              | icext(X0,X3) ) )
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( ( icext(X0,X3)
                | X2 != X3 )
              & ( X2 = X3
                | ~ icext(X0,X3) ) )
          & ic(X0) )
        | ~ sP1(X2,X0) ) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X2,X0] :
      ( ( sP1(X2,X0)
        | ? [X3] :
            ( ( X2 != X3
              | ~ icext(X0,X3) )
            & ( X2 = X3
              | icext(X0,X3) ) )
        | ~ ic(X0) )
      & ( ( ! [X3] :
              ( ( icext(X0,X3)
                | X2 != X3 )
              & ( X2 = X3
                | ~ icext(X0,X3) ) )
          & ic(X0) )
        | ~ sP1(X2,X0) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X2,X0] :
      ( sP1(X2,X0)
    <=> ( ! [X3] :
            ( icext(X0,X3)
          <=> X2 = X3 )
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f207,plain,
    sP1(uri_ex_w,sK7),
    inference(resolution,[],[f203,f68]) ).

fof(f68,plain,
    iext(uri_rdf_first,sK9,uri_ex_w),
    inference(cnf_transformation,[],[f43]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sK9,X0)
      | sP1(X0,sK7) ),
    inference(subsumption_resolution,[],[f199,f69]) ).

fof(f69,plain,
    iext(uri_rdf_rest,sK9,uri_rdf_nil),
    inference(cnf_transformation,[],[f43]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sK9,X0)
      | ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
      | sP1(X0,sK7) ),
    inference(resolution,[],[f109,f67]) ).

fof(f67,plain,
    iext(uri_owl_oneOf,sK7,sK9),
    inference(cnf_transformation,[],[f43]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X2,X0)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | sP1(X1,X2) ),
    inference(resolution,[],[f64,f57]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | ~ iext(uri_owl_oneOf,X0,X2)
      | sP1(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X2)
          | ~ sP1(X1,X0) )
        & ( sP1(X1,X0)
          | ~ iext(uri_owl_oneOf,X0,X2) ) )
      | ~ sP2(X0,X1,X2) ),
    inference(rectify,[],[f35]) ).

fof(f35,plain,
    ! [X0,X2,X1] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ sP1(X2,X0) )
        & ( sP1(X2,X0)
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ sP2(X0,X2,X1) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X2,X1] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> sP1(X2,X0) )
      | ~ sP2(X0,X2,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( sP2(X0,X2,X1)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( sP2(X0,X2,X1)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(definition_folding,[],[f19,f25,f24]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,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)
            <=> X2 = X3 )
          & ic(X0) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X4,X5,X6] :
      ( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
        & iext(uri_rdf_first,X5,X6) )
     => ( iext(uri_owl_oneOf,X4,X5)
      <=> ( ! [X1] :
              ( icext(X4,X1)
            <=> X1 = X6 )
          & ic(X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f222,plain,
    ( uri_ex_w != sK3(uri_ex_p)
    | sP0(uri_ex_p)
    | ~ ip(uri_ex_p) ),
    inference(superposition,[],[f50,f213]) ).

fof(f213,plain,
    uri_ex_w = sK4(uri_ex_p),
    inference(resolution,[],[f208,f116]) ).

fof(f116,plain,
    icext(sK7,sK4(uri_ex_p)),
    inference(subsumption_resolution,[],[f115,f110]) ).

fof(f115,plain,
    ( icext(sK7,sK4(uri_ex_p))
    | ~ ip(uri_ex_p) ),
    inference(subsumption_resolution,[],[f112,f82]) ).

fof(f112,plain,
    ( icext(sK7,sK4(uri_ex_p))
    | sP0(uri_ex_p)
    | ~ ip(uri_ex_p) ),
    inference(resolution,[],[f100,f49]) ).

fof(f49,plain,
    ! [X0] :
      ( iext(X0,sK4(X0),sK5(X0))
      | sP0(X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f50,plain,
    ! [X0] :
      ( sK3(X0) != sK4(X0)
      | sP0(X0)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem    : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 18:39:23 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (29953)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (29956)WARNING: value z3 for option sas not known
% 0.14/0.36  % (29956)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  % (29956)First to succeed.
% 0.14/0.36  % (29956)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29953"
% 0.14/0.36  % (29956)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Theorem for theBenchmark
% 0.14/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36  % (29956)------------------------------
% 0.14/0.36  % (29956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (29956)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (29956)Memory used [KB]: 875
% 0.14/0.36  % (29956)Time elapsed: 0.006 s
% 0.14/0.37  % (29956)Instructions burned: 11 (million)
% 0.14/0.37  % (29953)Success in time 0.016 s
%------------------------------------------------------------------------------