TSTP Solution File: SWB022+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n018.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 : Wed Aug 31 18:36:31 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   73 (  28 unt;   0 def)
%            Number of atoms       :  349 (   0 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives :  365 (  89   ~;  86   |; 171   &)
%                                         (   9 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-4 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-3 aty)
%            Number of variables   :  164 ( 120   !;  44   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f107,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f89,f95,f106]) ).

fof(f106,plain,
    spl13_3,
    inference(avatar_contradiction_clause,[],[f105]) ).

fof(f105,plain,
    ( $false
    | spl13_3 ),
    inference(subsumption_resolution,[],[f96,f86]) ).

fof(f86,plain,
    iext(sK9,uri_ex_MyOrderedCollection,sK10),
    inference(unit_resulting_resolution,[],[f49,f79,f80,f29]) ).

fof(f29,plain,
    ! [X2,X0,X1,X8,X6,X7] :
      ( ~ sP0(X0,X1,X2)
      | ~ iext(X1,X6,X7)
      | iext(X0,X6,X8)
      | ~ iext(X2,X7,X8) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ ip(X0)
        | ~ ip(X1)
        | ~ ip(X2)
        | ( ~ iext(X0,sK2(X0,X1,X2),sK4(X0,X1,X2))
          & iext(X2,sK3(X0,X1,X2),sK4(X0,X1,X2))
          & iext(X1,sK2(X0,X1,X2),sK3(X0,X1,X2)) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ip(X2)
          & ! [X6,X7,X8] :
              ( iext(X0,X6,X8)
              | ~ iext(X2,X7,X8)
              | ~ iext(X1,X6,X7) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f20,f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( ~ iext(X0,X3,X5)
          & iext(X2,X4,X5)
          & iext(X1,X3,X4) )
     => ( ~ iext(X0,sK2(X0,X1,X2),sK4(X0,X1,X2))
        & iext(X2,sK3(X0,X1,X2),sK4(X0,X1,X2))
        & iext(X1,sK2(X0,X1,X2),sK3(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ ip(X0)
        | ~ ip(X1)
        | ~ ip(X2)
        | ? [X3,X4,X5] :
            ( ~ iext(X0,X3,X5)
            & iext(X2,X4,X5)
            & iext(X1,X3,X4) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ip(X2)
          & ! [X6,X7,X8] :
              ( iext(X0,X6,X8)
              | ~ iext(X2,X7,X8)
              | ~ iext(X1,X6,X7) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X1,X4,X2] :
      ( ( sP0(X1,X4,X2)
        | ~ ip(X1)
        | ~ ip(X4)
        | ~ ip(X2)
        | ? [X5,X6,X7] :
            ( ~ iext(X1,X5,X7)
            & iext(X2,X6,X7)
            & iext(X4,X5,X6) ) )
      & ( ( ip(X1)
          & ip(X4)
          & ip(X2)
          & ! [X5,X6,X7] :
              ( iext(X1,X5,X7)
              | ~ iext(X2,X6,X7)
              | ~ iext(X4,X5,X6) ) )
        | ~ sP0(X1,X4,X2) ) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X1,X4,X2] :
      ( ( sP0(X1,X4,X2)
        | ~ ip(X1)
        | ~ ip(X4)
        | ~ ip(X2)
        | ? [X5,X6,X7] :
            ( ~ iext(X1,X5,X7)
            & iext(X2,X6,X7)
            & iext(X4,X5,X6) ) )
      & ( ( ip(X1)
          & ip(X4)
          & ip(X2)
          & ! [X5,X6,X7] :
              ( iext(X1,X5,X7)
              | ~ iext(X2,X6,X7)
              | ~ iext(X4,X5,X6) ) )
        | ~ sP0(X1,X4,X2) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X1,X4,X2] :
      ( sP0(X1,X4,X2)
    <=> ( ip(X1)
        & ip(X4)
        & ip(X2)
        & ! [X5,X6,X7] :
            ( iext(X1,X5,X7)
            | ~ iext(X2,X6,X7)
            | ~ iext(X4,X5,X6) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f80,plain,
    iext(sK9,uri_ex_MyOrderedCollection,sK6),
    inference(unit_resulting_resolution,[],[f44,f75,f79,f29]) ).

fof(f75,plain,
    iext(sK9,uri_ex_MyOrderedCollection,sK8),
    inference(unit_resulting_resolution,[],[f53,f39,f58]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_subPropertyOf,X1,X0)
      | iext(X0,X3,X2)
      | ~ iext(X1,X3,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_subPropertyOf,X1,X0)
      | ( ! [X2,X3] :
            ( iext(X0,X3,X2)
            | ~ iext(X1,X3,X2) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
     => ( ip(X1)
        & ! [X3,X2] :
            ( iext(X1,X3,X2)
           => iext(X0,X3,X2) )
        & ip(X0) ) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
     => ( ip(X0)
        & ! [X3,X2] :
            ( iext(X0,X2,X3)
           => iext(X1,X2,X3) )
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).

fof(f39,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK9),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( iext(uri_rdf_first,sK6,uri_ex_Y)
    & iext(uri_rdf_first,sK10,uri_ex_Z)
    & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
    & iext(uri_rdf_first,sK11,sK9)
    & iext(uri_rdf_rest,sK11,sK5)
    & iext(uri_rdf_first,sK7,uri_rdf_first)
    & iext(uri_rdf_rest,sK6,sK10)
    & iext(uri_rdf_rest,sK10,uri_rdf_nil)
    & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
    & iext(uri_rdf_first,sK5,uri_rdf_rest)
    & iext(uri_rdf_first,sK12,sK9)
    & iext(uri_rdf_rest,sK8,sK6)
    & iext(uri_owl_propertyChainAxiom,uri_skos_member,sK12)
    & iext(uri_rdf_rest,sK7,uri_rdf_nil)
    & iext(uri_rdf_rest,sK12,sK7)
    & iext(uri_rdf_first,sK8,uri_ex_X)
    & iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK9)
    & iext(uri_rdf_rest,sK5,uri_rdf_nil)
    & iext(uri_owl_propertyChainAxiom,sK9,sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f24,f25]) ).

fof(f25,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( iext(uri_rdf_first,X1,uri_ex_Y)
        & iext(uri_rdf_first,X5,uri_ex_Z)
        & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X3)
        & iext(uri_rdf_first,X6,X4)
        & iext(uri_rdf_rest,X6,X0)
        & iext(uri_rdf_first,X2,uri_rdf_first)
        & iext(uri_rdf_rest,X1,X5)
        & iext(uri_rdf_rest,X5,uri_rdf_nil)
        & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
        & iext(uri_rdf_first,X0,uri_rdf_rest)
        & iext(uri_rdf_first,X7,X4)
        & iext(uri_rdf_rest,X3,X1)
        & iext(uri_owl_propertyChainAxiom,uri_skos_member,X7)
        & iext(uri_rdf_rest,X2,uri_rdf_nil)
        & iext(uri_rdf_rest,X7,X2)
        & iext(uri_rdf_first,X3,uri_ex_X)
        & iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X4)
        & iext(uri_rdf_rest,X0,uri_rdf_nil)
        & iext(uri_owl_propertyChainAxiom,X4,X6) )
   => ( iext(uri_rdf_first,sK6,uri_ex_Y)
      & iext(uri_rdf_first,sK10,uri_ex_Z)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8)
      & iext(uri_rdf_first,sK11,sK9)
      & iext(uri_rdf_rest,sK11,sK5)
      & iext(uri_rdf_first,sK7,uri_rdf_first)
      & iext(uri_rdf_rest,sK6,sK10)
      & iext(uri_rdf_rest,sK10,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_rdf_first,sK5,uri_rdf_rest)
      & iext(uri_rdf_first,sK12,sK9)
      & iext(uri_rdf_rest,sK8,sK6)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,sK12)
      & iext(uri_rdf_rest,sK7,uri_rdf_nil)
      & iext(uri_rdf_rest,sK12,sK7)
      & iext(uri_rdf_first,sK8,uri_ex_X)
      & iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK9)
      & iext(uri_rdf_rest,sK5,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,sK9,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( iext(uri_rdf_first,X1,uri_ex_Y)
      & iext(uri_rdf_first,X5,uri_ex_Z)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X3)
      & iext(uri_rdf_first,X6,X4)
      & iext(uri_rdf_rest,X6,X0)
      & iext(uri_rdf_first,X2,uri_rdf_first)
      & iext(uri_rdf_rest,X1,X5)
      & iext(uri_rdf_rest,X5,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_rdf_first,X0,uri_rdf_rest)
      & iext(uri_rdf_first,X7,X4)
      & iext(uri_rdf_rest,X3,X1)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,X7)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_rest,X7,X2)
      & iext(uri_rdf_first,X3,uri_ex_X)
      & iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X4)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,X4,X6) ),
    inference(rectify,[],[f8]) ).

fof(f8,plain,
    ? [X5,X7,X0,X2,X6,X4,X3,X1] :
      ( iext(uri_rdf_first,X7,uri_ex_Y)
      & iext(uri_rdf_first,X4,uri_ex_Z)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X2)
      & iext(uri_rdf_first,X3,X6)
      & iext(uri_rdf_rest,X3,X5)
      & iext(uri_rdf_first,X0,uri_rdf_first)
      & iext(uri_rdf_rest,X7,X4)
      & iext(uri_rdf_rest,X4,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_rdf_first,X5,uri_rdf_rest)
      & iext(uri_rdf_first,X1,X6)
      & iext(uri_rdf_rest,X2,X7)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,X1)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_rest,X1,X0)
      & iext(uri_rdf_first,X2,uri_ex_X)
      & iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X6)
      & iext(uri_rdf_rest,X5,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,X6,X3) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ? [X13,X12,X16,X14,X18,X15,X11,X17] :
      ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X11)
      & iext(uri_rdf_rest,X12,X13)
      & iext(uri_rdf_rest,X17,X18)
      & iext(uri_rdf_first,X16,uri_ex_X)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X16)
      & iext(uri_owl_propertyChainAxiom,X11,X14)
      & iext(uri_rdf_first,X13,uri_rdf_first)
      & iext(uri_rdf_first,X17,uri_ex_Y)
      & iext(uri_rdf_rest,X14,X15)
      & iext(uri_rdf_first,X14,X11)
      & iext(uri_rdf_rest,X15,uri_rdf_nil)
      & iext(uri_rdf_first,X12,X11)
      & iext(uri_rdf_first,X18,uri_ex_Z)
      & iext(uri_rdf_rest,X18,uri_rdf_nil)
      & iext(uri_rdf_rest,X16,X17)
      & iext(uri_rdf_first,X15,uri_rdf_rest)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,X12)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_rdf_rest,X13,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

fof(f53,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK8),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,plain,
    iext(uri_rdf_rest,sK8,sK6),
    inference(cnf_transformation,[],[f26]) ).

fof(f79,plain,
    sP0(sK9,sK9,uri_rdf_rest),
    inference(unit_resulting_resolution,[],[f37,f76,f28]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP1(X0,X1,X2,X3)
      | sP0(X1,X3,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X1,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( sP0(X1,X3,X2)
          | ~ iext(uri_owl_propertyChainAxiom,X1,X0) )
        & ( iext(uri_owl_propertyChainAxiom,X1,X0)
          | ~ sP0(X1,X3,X2) ) )
      | ~ sP1(X0,X1,X2,X3) ),
    inference(rectify,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2,X4] :
      ( ( ( sP0(X1,X4,X2)
          | ~ iext(uri_owl_propertyChainAxiom,X1,X0) )
        & ( iext(uri_owl_propertyChainAxiom,X1,X0)
          | ~ sP0(X1,X4,X2) ) )
      | ~ sP1(X0,X1,X2,X4) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2,X4] :
      ( ( sP0(X1,X4,X2)
      <=> iext(uri_owl_propertyChainAxiom,X1,X0) )
      | ~ sP1(X0,X1,X2,X4) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f76,plain,
    ! [X0] : sP1(sK11,X0,uri_rdf_rest,sK9),
    inference(unit_resulting_resolution,[],[f52,f51,f46,f38,f36]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X3,X2)
      | ~ iext(uri_rdf_first,X2,X1)
      | ~ iext(uri_rdf_first,X3,X0)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | sP1(X3,X4,X1,X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_first,X2,X1)
      | ~ iext(uri_rdf_rest,X3,X2)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X0)
      | sP1(X3,X4,X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X4,X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(uri_rdf_rest,X0,X3)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X4)
      | sP1(X0,X1,X2,X4) ),
    inference(definition_folding,[],[f12,f14,f13]) ).

fof(f12,plain,
    ! [X4,X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(uri_rdf_rest,X0,X3)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X4)
      | ( ( ip(X1)
          & ip(X4)
          & ip(X2)
          & ! [X5,X6,X7] :
              ( iext(X1,X5,X7)
              | ~ iext(X2,X6,X7)
              | ~ iext(X4,X5,X6) ) )
      <=> iext(uri_owl_propertyChainAxiom,X1,X0) ) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ! [X1,X3,X0,X4,X2] :
      ( ( ( ip(X2)
          & ip(X1)
          & ip(X4)
          & ! [X5,X6,X7] :
              ( iext(X1,X5,X7)
              | ~ iext(X4,X5,X6)
              | ~ iext(X2,X6,X7) ) )
      <=> iext(uri_owl_propertyChainAxiom,X1,X0) )
      | ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(uri_rdf_first,X0,X4)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X0,X3) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f2,axiom,
    ! [X4,X0,X7,X6,X5] :
      ( ( iext(uri_rdf_first,X4,X5)
        & iext(uri_rdf_rest,X4,X6)
        & iext(uri_rdf_rest,X6,uri_rdf_nil)
        & iext(uri_rdf_first,X6,X7) )
     => ( ( ! [X8,X9,X10] :
              ( ( iext(X5,X8,X9)
                & iext(X7,X9,X10) )
             => iext(X0,X8,X10) )
          & ip(X0)
          & ip(X7)
          & ip(X5) )
      <=> iext(uri_owl_propertyChainAxiom,X0,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).

fof(f38,plain,
    iext(uri_rdf_rest,sK5,uri_rdf_nil),
    inference(cnf_transformation,[],[f26]) ).

fof(f46,plain,
    iext(uri_rdf_first,sK5,uri_rdf_rest),
    inference(cnf_transformation,[],[f26]) ).

fof(f51,plain,
    iext(uri_rdf_rest,sK11,sK5),
    inference(cnf_transformation,[],[f26]) ).

fof(f52,plain,
    iext(uri_rdf_first,sK11,sK9),
    inference(cnf_transformation,[],[f26]) ).

fof(f37,plain,
    iext(uri_owl_propertyChainAxiom,sK9,sK11),
    inference(cnf_transformation,[],[f26]) ).

fof(f49,plain,
    iext(uri_rdf_rest,sK6,sK10),
    inference(cnf_transformation,[],[f26]) ).

fof(f96,plain,
    ( ~ iext(sK9,uri_ex_MyOrderedCollection,sK10)
    | spl13_3 ),
    inference(unit_resulting_resolution,[],[f54,f71,f93,f29]) ).

fof(f93,plain,
    sP0(uri_skos_member,sK9,uri_rdf_first),
    inference(unit_resulting_resolution,[],[f43,f77,f28]) ).

fof(f77,plain,
    ! [X0] : sP1(sK12,X0,uri_rdf_first,sK9),
    inference(unit_resulting_resolution,[],[f45,f41,f50,f42,f36]) ).

fof(f42,plain,
    iext(uri_rdf_rest,sK7,uri_rdf_nil),
    inference(cnf_transformation,[],[f26]) ).

fof(f50,plain,
    iext(uri_rdf_first,sK7,uri_rdf_first),
    inference(cnf_transformation,[],[f26]) ).

fof(f41,plain,
    iext(uri_rdf_rest,sK12,sK7),
    inference(cnf_transformation,[],[f26]) ).

fof(f45,plain,
    iext(uri_rdf_first,sK12,sK9),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,sK12),
    inference(cnf_transformation,[],[f26]) ).

fof(f71,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | spl13_3 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl13_3
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f54,plain,
    iext(uri_rdf_first,sK10,uri_ex_Z),
    inference(cnf_transformation,[],[f26]) ).

fof(f95,plain,
    spl13_2,
    inference(avatar_contradiction_clause,[],[f94]) ).

fof(f94,plain,
    ( $false
    | spl13_2 ),
    inference(subsumption_resolution,[],[f93,f91]) ).

fof(f91,plain,
    ( ~ sP0(uri_skos_member,sK9,uri_rdf_first)
    | spl13_2 ),
    inference(unit_resulting_resolution,[],[f40,f75,f67,f29]) ).

fof(f67,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | spl13_2 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl13_2
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f40,plain,
    iext(uri_rdf_first,sK8,uri_ex_X),
    inference(cnf_transformation,[],[f26]) ).

fof(f89,plain,
    spl13_1,
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | spl13_1 ),
    inference(subsumption_resolution,[],[f87,f77]) ).

fof(f87,plain,
    ( ~ sP1(sK12,uri_skos_member,uri_rdf_first,sK9)
    | spl13_1 ),
    inference(unit_resulting_resolution,[],[f43,f85,f28]) ).

fof(f85,plain,
    ( ~ sP0(uri_skos_member,sK9,uri_rdf_first)
    | spl13_1 ),
    inference(unit_resulting_resolution,[],[f55,f63,f80,f29]) ).

fof(f63,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl13_1
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f55,plain,
    iext(uri_rdf_first,sK6,uri_ex_Y),
    inference(cnf_transformation,[],[f26]) ).

fof(f72,plain,
    ( ~ spl13_1
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(avatar_split_clause,[],[f59,f69,f65,f61]) ).

fof(f59,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f3,conjecture,
    ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 17:37:40 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  % (6353)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.49  % (6345)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (6353)Refutation not found, incomplete strategy% (6353)------------------------------
% 0.20/0.49  % (6353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (6353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (6353)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (6353)Memory used [KB]: 1407
% 0.20/0.49  % (6353)Time elapsed: 0.059 s
% 0.20/0.49  % (6353)Instructions burned: 2 (million)
% 0.20/0.49  % (6353)------------------------------
% 0.20/0.49  % (6353)------------------------------
% 0.20/0.50  % (6337)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (6345)Instruction limit reached!
% 0.20/0.50  % (6345)------------------------------
% 0.20/0.50  % (6345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (6345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (6345)Termination reason: Unknown
% 0.20/0.50  % (6345)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (6345)Memory used [KB]: 6012
% 0.20/0.50  % (6345)Time elapsed: 0.076 s
% 0.20/0.50  % (6345)Instructions burned: 7 (million)
% 0.20/0.50  % (6345)------------------------------
% 0.20/0.50  % (6345)------------------------------
% 0.20/0.50  % (6347)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (6347)Instruction limit reached!
% 0.20/0.51  % (6347)------------------------------
% 0.20/0.51  % (6347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (6347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (6347)Termination reason: Unknown
% 0.20/0.51  % (6347)Termination phase: Finite model building preprocessing
% 0.20/0.51  
% 0.20/0.51  % (6347)Memory used [KB]: 1407
% 0.20/0.51  % (6347)Time elapsed: 0.005 s
% 0.20/0.51  % (6347)Instructions burned: 3 (million)
% 0.20/0.51  % (6347)------------------------------
% 0.20/0.51  % (6347)------------------------------
% 0.20/0.51  % (6336)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51  % (6336)Refutation not found, incomplete strategy% (6336)------------------------------
% 0.20/0.51  % (6336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (6336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (6336)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (6336)Memory used [KB]: 5884
% 0.20/0.51  % (6336)Time elapsed: 0.001 s
% 0.20/0.51  % (6336)------------------------------
% 0.20/0.51  % (6336)------------------------------
% 0.20/0.51  % (6341)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (6335)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (6331)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (6333)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (6334)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (6341)First to succeed.
% 0.20/0.54  % (6342)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54  % (6330)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54  % (6359)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (6342)Refutation not found, incomplete strategy% (6342)------------------------------
% 0.20/0.54  % (6342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6342)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (6342)Memory used [KB]: 1407
% 0.20/0.54  % (6342)Time elapsed: 0.127 s
% 0.20/0.54  % (6342)Instructions burned: 1 (million)
% 0.20/0.54  % (6342)------------------------------
% 0.20/0.54  % (6342)------------------------------
% 0.20/0.54  % (6341)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (6341)------------------------------
% 0.20/0.54  % (6341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6341)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (6341)Memory used [KB]: 6012
% 0.20/0.54  % (6341)Time elapsed: 0.102 s
% 0.20/0.54  % (6341)Instructions burned: 6 (million)
% 0.20/0.54  % (6341)------------------------------
% 0.20/0.54  % (6341)------------------------------
% 0.20/0.54  % (6328)Success in time 0.177 s
%------------------------------------------------------------------------------