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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 : Tue Sep 29 01:00:44 PM UTC 2026

% Result   : Theorem 0.09s 0.45s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   72 (  31 unt;   3 def)
%            Number of atoms       :  288 (   0 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  345 ( 129   ~; 125   |;  81   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-3 aty)
%            Number of variables   :  147 (   0 sgn 130   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
     => ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( iext(X0,X2,X3)
           => iext(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).

fof(f2,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X0,X1)
      <=> ( ip(X0)
          & ip(X2)
          & ip(X4)
          & ! [X5,X6,X7] :
              ( ( iext(X2,X5,X6)
                & iext(X4,X6,X7) )
             => iext(X0,X5,X7) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).

fof(f3,conjecture,
    ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).

fof(f4,negated_conjecture,
    ~ ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,axiom,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X0)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,X1)
      & iext(uri_rdf_first,X1,X0)
      & iext(uri_rdf_rest,X1,X2)
      & iext(uri_rdf_first,X2,uri_rdf_first)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,X0,X3)
      & iext(uri_rdf_first,X3,X0)
      & iext(uri_rdf_rest,X3,X4)
      & iext(uri_rdf_first,X4,uri_rdf_rest)
      & iext(uri_rdf_rest,X4,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X5)
      & iext(uri_rdf_first,X5,uri_ex_X)
      & iext(uri_rdf_rest,X5,X6)
      & iext(uri_rdf_first,X6,uri_ex_Y)
      & iext(uri_rdf_rest,X6,X7)
      & iext(uri_rdf_first,X7,uri_ex_Z)
      & iext(uri_rdf_rest,X7,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) ) )
      | ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
      <=> ( ip(X0)
          & ip(X2)
          & ip(X4)
          & ! [X5,X6,X7] :
              ( iext(X0,X5,X7)
              | ~ iext(X2,X5,X6)
              | ~ iext(X4,X6,X7) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
      <=> ( ip(X0)
          & ip(X2)
          & ip(X4)
          & ! [X5,X6,X7] :
              ( iext(X0,X5,X7)
              | ~ iext(X2,X5,X6)
              | ~ iext(X4,X6,X7) ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(flattening,[],[f7]) ).

fof(f9,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
          | ~ ip(X0)
          | ~ ip(X2)
          | ~ ip(X4)
          | ? [X5,X6,X7] :
              ( ~ iext(X0,X5,X7)
              & iext(X2,X5,X6)
              & iext(X4,X6,X7) ) )
        & ( ( ip(X0)
            & ip(X2)
            & ip(X4)
            & ! [X5,X6,X7] :
                ( iext(X0,X5,X7)
                | ~ iext(X2,X5,X6)
                | ~ iext(X4,X6,X7) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
          | ~ ip(X0)
          | ~ ip(X2)
          | ~ ip(X4)
          | ? [X5,X6,X7] :
              ( ~ iext(X0,X5,X7)
              & iext(X2,X5,X6)
              & iext(X4,X6,X7) ) )
        & ( ( ip(X0)
            & ip(X2)
            & ip(X4)
            & ! [X5,X6,X7] :
                ( iext(X0,X5,X7)
                | ~ iext(X2,X5,X6)
                | ~ iext(X4,X6,X7) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(flattening,[],[f10]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
          | ~ ip(X0)
          | ~ ip(X2)
          | ~ ip(X4)
          | ? [X5,X6,X7] :
              ( ~ iext(X0,X5,X7)
              & iext(X2,X5,X6)
              & iext(X4,X6,X7) ) )
        & ( ( ip(X0)
            & ip(X2)
            & ip(X4)
            & ! [X8,X9,X10] :
                ( iext(X0,X8,X10)
                | ~ iext(X2,X8,X9)
                | ~ iext(X4,X9,X10) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(rectify,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
          | ~ ip(X0)
          | ~ ip(X2)
          | ~ ip(X4)
          | ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
            & iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4))
            & iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4)) ) )
        & ( ( ip(X0)
            & ip(X2)
            & ip(X4)
            & ! [X8,X9,X10] :
                ( iext(X0,X8,X10)
                | ~ iext(X2,X8,X9)
                | ~ iext(X4,X9,X10) ) )
          | ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X5,sK0(X0,X2,X4)),skolemize(X6,sK1(X0,X2,X4)),skolemize(X7,sK2(X0,X2,X4))],[f12]) ).

fof(f14,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3)
    & iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4)
    & iext(uri_rdf_first,sK4,sK3)
    & iext(uri_rdf_rest,sK4,sK5)
    & iext(uri_rdf_first,sK5,uri_rdf_first)
    & iext(uri_rdf_rest,sK5,uri_rdf_nil)
    & iext(uri_owl_propertyChainAxiom,sK3,sK6)
    & iext(uri_rdf_first,sK6,sK3)
    & iext(uri_rdf_rest,sK6,sK7)
    & iext(uri_rdf_first,sK7,uri_rdf_rest)
    & iext(uri_rdf_rest,sK7,uri_rdf_nil)
    & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
    & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
    & iext(uri_rdf_first,sK8,uri_ex_X)
    & iext(uri_rdf_rest,sK8,sK9)
    & iext(uri_rdf_first,sK9,uri_ex_Y)
    & iext(uri_rdf_rest,sK9,sK10)
    & iext(uri_rdf_first,sK10,uri_ex_Z)
    & iext(uri_rdf_rest,sK10,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10)],[f5]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
      | ~ iext(X0,X2,X3)
      | iext(X1,X2,X3) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ! [X2,X3,X10,X0,X1,X8,X9,X4] :
      ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
      | ~ iext(X2,X8,X9)
      | ~ iext(X4,X9,X10)
      | iext(X0,X8,X10)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,X3)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f25,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    iext(uri_rdf_first,sK10,uri_ex_Z),
    inference(cnf_transformation,[],[f14]) ).

fof(f28,plain,
    iext(uri_rdf_rest,sK9,sK10),
    inference(cnf_transformation,[],[f14]) ).

fof(f29,plain,
    iext(uri_rdf_first,sK9,uri_ex_Y),
    inference(cnf_transformation,[],[f14]) ).

fof(f30,plain,
    iext(uri_rdf_rest,sK8,sK9),
    inference(cnf_transformation,[],[f14]) ).

fof(f31,plain,
    iext(uri_rdf_first,sK8,uri_ex_X),
    inference(cnf_transformation,[],[f14]) ).

fof(f32,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8),
    inference(cnf_transformation,[],[f14]) ).

fof(f34,plain,
    iext(uri_rdf_rest,sK7,uri_rdf_nil),
    inference(cnf_transformation,[],[f14]) ).

fof(f35,plain,
    iext(uri_rdf_first,sK7,uri_rdf_rest),
    inference(cnf_transformation,[],[f14]) ).

fof(f36,plain,
    iext(uri_rdf_rest,sK6,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f37,plain,
    iext(uri_rdf_first,sK6,sK3),
    inference(cnf_transformation,[],[f14]) ).

fof(f38,plain,
    iext(uri_owl_propertyChainAxiom,sK3,sK6),
    inference(cnf_transformation,[],[f14]) ).

fof(f39,plain,
    iext(uri_rdf_rest,sK5,uri_rdf_nil),
    inference(cnf_transformation,[],[f14]) ).

fof(f40,plain,
    iext(uri_rdf_first,sK5,uri_rdf_first),
    inference(cnf_transformation,[],[f14]) ).

fof(f41,plain,
    iext(uri_rdf_rest,sK4,sK5),
    inference(cnf_transformation,[],[f14]) ).

fof(f42,plain,
    iext(uri_rdf_first,sK4,sK3),
    inference(cnf_transformation,[],[f14]) ).

fof(f43,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,sK4),
    inference(cnf_transformation,[],[f14]) ).

fof(f44,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK3),
    inference(cnf_transformation,[],[f14]) ).

fof(f46,definition,
    ( spl11_1
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).

fof(f48,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | spl11_1 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f50,definition,
    ( spl11_2
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
    introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).

fof(f54,definition,
    ( spl11_3
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
    introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).

fof(f57,plain,
    ( ~ spl11_1
    | ~ spl11_2
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f25,f54,f50,f46]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ iext(uri_skos_memberList,X0,X1)
      | iext(sK3,X0,X1) ),
    inference(resolution,[],[f15,f44]) ).

fof(f104,plain,
    iext(sK3,uri_ex_MyOrderedCollection,sK8),
    inference(resolution,[],[f60,f32]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,sK4,X5)
      | ~ iext(X3,X2,X4)
      | iext(uri_skos_member,X1,X4)
      | ~ iext(uri_rdf_first,sK4,X0)
      | ~ iext(X0,X1,X2)
      | ~ iext(uri_rdf_first,X5,X3)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(resolution,[],[f18,f43]) ).

fof(f106,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_rdf_rest,sK6,X5)
      | ~ iext(X3,X2,X4)
      | iext(sK3,X1,X4)
      | ~ iext(uri_rdf_first,sK6,X0)
      | ~ iext(X0,X1,X2)
      | ~ iext(uri_rdf_first,X5,X3)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(resolution,[],[f18,f38]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(X0,X1,X2)
      | iext(uri_skos_member,X3,X2)
      | ~ iext(uri_rdf_first,sK4,X4)
      | ~ iext(X4,X3,X1)
      | ~ iext(uri_rdf_first,sK5,X0)
      | ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
    inference(resolution,[],[f105,f41]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_first,sK5,X0)
      | iext(uri_skos_member,X3,X2)
      | ~ iext(uri_rdf_first,sK4,X4)
      | ~ iext(X4,X3,X1)
      | ~ iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f128,f39]) ).

fof(f131,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(X0,X1,X2)
      | iext(sK3,X3,X2)
      | ~ iext(uri_rdf_first,sK6,X4)
      | ~ iext(X4,X3,X1)
      | ~ iext(uri_rdf_first,sK7,X0)
      | ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
    inference(resolution,[],[f106,f36]) ).

fof(f132,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_first,sK7,X0)
      | iext(sK3,X3,X2)
      | ~ iext(uri_rdf_first,sK6,X4)
      | ~ iext(X4,X3,X1)
      | ~ iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f131,f34]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK4,X2)
      | iext(uri_skos_member,X0,X1)
      | ~ iext(X2,X0,X3)
      | ~ iext(uri_rdf_first,X3,X1) ),
    inference(resolution,[],[f129,f40]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ iext(sK3,X0,X2)
      | iext(uri_skos_member,X0,X1)
      | ~ iext(uri_rdf_first,X2,X1) ),
    inference(resolution,[],[f134,f42]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sK8,X0)
      | iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
    inference(resolution,[],[f137,f104]) ).

fof(f142,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
    inference(resolution,[],[f139,f31]) ).

fof(f143,plain,
    spl11_3,
    inference(avatar_split_clause,[],[f142,f54]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,X3,X1)
      | ~ iext(uri_rdf_first,sK6,X2)
      | ~ iext(X2,X0,X3)
      | iext(sK3,X0,X1) ),
    inference(resolution,[],[f132,f35]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X0)
      | ~ iext(X0,X1,sK8)
      | iext(sK3,X1,sK9) ),
    inference(resolution,[],[f144,f30]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X0)
      | ~ iext(X0,X1,sK9)
      | iext(sK3,X1,sK10) ),
    inference(resolution,[],[f144,f28]) ).

fof(f561,plain,
    ! [X0] :
      ( ~ iext(sK3,X0,sK8)
      | iext(sK3,X0,sK9) ),
    inference(resolution,[],[f150,f37]) ).

fof(f562,plain,
    ! [X0] :
      ( ~ iext(sK3,X0,sK9)
      | iext(sK3,X0,sK10) ),
    inference(resolution,[],[f151,f37]) ).

fof(f571,plain,
    iext(sK3,uri_ex_MyOrderedCollection,sK9),
    inference(resolution,[],[f561,f104]) ).

fof(f572,plain,
    iext(sK3,uri_ex_MyOrderedCollection,sK10),
    inference(resolution,[],[f571,f562]) ).

fof(f573,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sK9,X0)
      | iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
    inference(resolution,[],[f571,f137]) ).

fof(f575,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sK10,X0)
      | iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
    inference(resolution,[],[f572,f137]) ).

fof(f606,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
    inference(resolution,[],[f573,f29]) ).

fof(f607,plain,
    spl11_2,
    inference(avatar_split_clause,[],[f606,f50]) ).

fof(f608,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
    inference(resolution,[],[f575,f27]) ).

fof(f609,plain,
    ( $false
    | spl11_1 ),
    inference(forward_subsumption_resolution,[],[f608,f48]) ).

fof(f610,plain,
    spl11_1,
    inference(avatar_contradiction_clause,[],[f609]) ).

cnf(s1,plain,
    ( ~ spl11_1
    | ~ spl11_2
    | ~ spl11_3 ),
    inference(sat_conversion,[],[f57]) ).

cnf(s11,plain,
    spl11_3,
    inference(sat_conversion,[],[f143]) ).

cnf(s67,plain,
    spl11_2,
    inference(sat_conversion,[],[f607]) ).

cnf(s68,plain,
    spl11_1,
    inference(sat_conversion,[],[f610]) ).

cnf(s75,plain,
    $false,
    inference(rat,[],[s1,s11,s67,s68]) ).

fof(f611,plain,
    $false,
    inference(avatar_sat_refutation,[],[s75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n013.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 28 07:04:22 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.45  % (992735)Will run a generic schedule for satisfiability detection.
% 0.09/0.45  % (992743)dis+10_1_sil=32000:sp=arity:random_seed=1675280521:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45  % (992741)% WARNING: option uhcvi not known.
% 0.09/0.45  % (992743) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-992735-992743"...
% 0.09/0.45  % (992740)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=529393022_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45  % (992743)...printing done.
% 0.09/0.45  % (992741)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2661473423:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45  % (992742)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3804019430:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45  % (992744)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1874242425:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45  % (992746)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3566268601:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45  % (992745)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2982092888:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45  % (992743)Refutation found. Thanks to Tanya!
% 0.09/0.45  % SZS status Theorem for theBenchmark
% 0.09/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45  % (992743)------------------------------
% 0.09/0.45  % (992743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45  % (992743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45  % (992743)CaDiCaL version: 2.1.3
% 0.09/0.45  % (992743)Termination reason: Refutation
% 0.09/0.45  % (992743)Time elapsed: 0.006 s
% 0.09/0.45  % (992743)Peak memory usage: 12 MB
% 0.09/0.45  % (992743)Instructions burned: 17 (million)
% 0.09/0.45  % (992735)Success in time 0.043 s
% 0.09/0.45  % Vampire exiting
%------------------------------------------------------------------------------