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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB012+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 01:00:02 PM UTC 2026

% Result   : Theorem 8.46s 2.09s
% Output   : Refutation 9.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  116 (  27 unt;  10 def)
%            Number of atoms       :  498 (   0 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :  647 ( 265   ~; 262   |;  97   &)
%                                         (  20 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;  11 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-4 aty)
%            Number of variables   :  207 (   0 sgn 200   !;   7   ?)

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

fof(f52,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f283,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,X3)
        & iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X5,uri_rdf_nil) )
     => ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                & icext(X4,X7)
                & icext(X6,X7) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).

fof(f315,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_hasValue,X0,X2)
        & iext(uri_owl_onProperty,X0,X1) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).

fof(f559,conjecture,
    ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    & iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).

fof(f560,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
      & iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
      & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X0)
      & iext(uri_rdf_first,X0,uri_owl_DatatypeProperty)
      & iext(uri_rdf_rest,X0,X1)
      & iext(uri_rdf_first,X1,uri_owl_FunctionalProperty)
      & iext(uri_rdf_rest,X1,X2)
      & iext(uri_rdf_first,X2,X3)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_type,X3,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X3,uri_rdfs_domain)
      & iext(uri_owl_hasValue,X3,uri_foaf_Person)
      & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
      & iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).

fof(f562,plain,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f567,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f568,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f567]) ).

fof(f571,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X2) )
      | ~ iext(uri_owl_hasValue,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(ennf_transformation,[],[f315]) ).

fof(f572,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X2) )
      | ~ iext(uri_owl_hasValue,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(flattening,[],[f571]) ).

fof(f580,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                & icext(X4,X7)
                & icext(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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f283]) ).

fof(f581,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( iext(uri_owl_intersectionOf,X0,X1)
      <=> ( ic(X0)
          & ic(X2)
          & ic(X4)
          & ic(X6)
          & ! [X7] :
              ( icext(X0,X7)
            <=> ( icext(X2,X7)
                & icext(X4,X7)
                & icext(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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(flattening,[],[f580]) ).

fof(f602,plain,
    ( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
    & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK0)
    & iext(uri_rdf_first,sK0,uri_owl_DatatypeProperty)
    & iext(uri_rdf_rest,sK0,sK1)
    & iext(uri_rdf_first,sK1,uri_owl_FunctionalProperty)
    & iext(uri_rdf_rest,sK1,sK2)
    & iext(uri_rdf_first,sK2,sK3)
    & iext(uri_rdf_rest,sK2,uri_rdf_nil)
    & iext(uri_rdf_type,sK3,uri_owl_Restriction)
    & iext(uri_owl_onProperty,sK3,uri_rdfs_domain)
    & iext(uri_owl_hasValue,sK3,uri_foaf_Person)
    & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
    & iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f561]) ).

fof(f603,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(f615,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ~ iext(X1,X3,X2) )
          & ( iext(X1,X3,X2)
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_hasValue,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(nnf_transformation,[],[f572]) ).

fof(f616,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_intersectionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ? [X7] :
              ( ( ~ icext(X2,X7)
                | ~ icext(X4,X7)
                | ~ icext(X6,X7)
                | ~ icext(X0,X7) )
              & ( ( icext(X2,X7)
                  & icext(X4,X7)
                  & icext(X6,X7) )
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X7] :
                ( ( icext(X0,X7)
                  | ~ icext(X2,X7)
                  | ~ icext(X4,X7)
                  | ~ icext(X6,X7) )
                & ( ( icext(X2,X7)
                    & icext(X4,X7)
                    & icext(X6,X7) )
                  | ~ icext(X0,X7) ) ) )
          | ~ iext(uri_owl_intersectionOf,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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(nnf_transformation,[],[f581]) ).

fof(f617,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_intersectionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ? [X7] :
              ( ( ~ icext(X2,X7)
                | ~ icext(X4,X7)
                | ~ icext(X6,X7)
                | ~ icext(X0,X7) )
              & ( ( icext(X2,X7)
                  & icext(X4,X7)
                  & icext(X6,X7) )
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X7] :
                ( ( icext(X0,X7)
                  | ~ icext(X2,X7)
                  | ~ icext(X4,X7)
                  | ~ icext(X6,X7) )
                & ( ( icext(X2,X7)
                    & icext(X4,X7)
                    & icext(X6,X7) )
                  | ~ icext(X0,X7) ) ) )
          | ~ iext(uri_owl_intersectionOf,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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(flattening,[],[f616]) ).

fof(f618,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_intersectionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ? [X7] :
              ( ( ~ icext(X2,X7)
                | ~ icext(X4,X7)
                | ~ icext(X6,X7)
                | ~ icext(X0,X7) )
              & ( ( icext(X2,X7)
                  & icext(X4,X7)
                  & icext(X6,X7) )
                | icext(X0,X7) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X8] :
                ( ( icext(X0,X8)
                  | ~ icext(X2,X8)
                  | ~ icext(X4,X8)
                  | ~ icext(X6,X8) )
                & ( ( icext(X2,X8)
                    & icext(X4,X8)
                    & icext(X6,X8) )
                  | ~ icext(X0,X8) ) ) )
          | ~ iext(uri_owl_intersectionOf,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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(rectify,[],[f617]) ).

fof(f619,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( iext(uri_owl_intersectionOf,X0,X1)
          | ~ ic(X0)
          | ~ ic(X2)
          | ~ ic(X4)
          | ~ ic(X6)
          | ( ( ~ icext(X2,sK9(X0,X2,X4,X6))
              | ~ icext(X4,sK9(X0,X2,X4,X6))
              | ~ icext(X6,sK9(X0,X2,X4,X6))
              | ~ icext(X0,sK9(X0,X2,X4,X6)) )
            & ( ( icext(X2,sK9(X0,X2,X4,X6))
                & icext(X4,sK9(X0,X2,X4,X6))
                & icext(X6,sK9(X0,X2,X4,X6)) )
              | icext(X0,sK9(X0,X2,X4,X6)) ) ) )
        & ( ( ic(X0)
            & ic(X2)
            & ic(X4)
            & ic(X6)
            & ! [X8] :
                ( ( icext(X0,X8)
                  | ~ icext(X2,X8)
                  | ~ icext(X4,X8)
                  | ~ icext(X6,X8) )
                & ( ( icext(X2,X8)
                    & icext(X4,X8)
                    & icext(X6,X8) )
                  | ~ icext(X0,X8) ) ) )
          | ~ iext(uri_owl_intersectionOf,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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X7,sK9(X0,X2,X4,X6))],[f618]) ).

fof(f640,plain,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(cnf_transformation,[],[f562]) ).

fof(f641,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    inference(cnf_transformation,[],[f602]) ).

fof(f642,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    inference(cnf_transformation,[],[f602]) ).

fof(f643,plain,
    iext(uri_owl_hasValue,sK3,uri_foaf_Person),
    inference(cnf_transformation,[],[f602]) ).

fof(f644,plain,
    iext(uri_owl_onProperty,sK3,uri_rdfs_domain),
    inference(cnf_transformation,[],[f602]) ).

fof(f646,plain,
    iext(uri_rdf_rest,sK2,uri_rdf_nil),
    inference(cnf_transformation,[],[f602]) ).

fof(f647,plain,
    iext(uri_rdf_first,sK2,sK3),
    inference(cnf_transformation,[],[f602]) ).

fof(f648,plain,
    iext(uri_rdf_rest,sK1,sK2),
    inference(cnf_transformation,[],[f602]) ).

fof(f649,plain,
    iext(uri_rdf_first,sK1,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f602]) ).

fof(f650,plain,
    iext(uri_rdf_rest,sK0,sK1),
    inference(cnf_transformation,[],[f602]) ).

fof(f651,plain,
    iext(uri_rdf_first,sK0,uri_owl_DatatypeProperty),
    inference(cnf_transformation,[],[f602]) ).

fof(f652,plain,
    iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK0),
    inference(cnf_transformation,[],[f602]) ).

fof(f654,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f603]) ).

fof(f655,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f603]) ).

fof(f669,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X2)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f568]) ).

fof(f682,plain,
    ! [X2,X3,X0,X1] :
      ( ~ icext(X0,X3)
      | iext(X1,X3,X2)
      | ~ iext(uri_owl_hasValue,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f615]) ).

fof(f690,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ icext(X0,X8)
      | ~ iext(uri_owl_intersectionOf,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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | icext(X6,X8) ),
    inference(cnf_transformation,[],[f619]) ).

fof(f691,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
      | ~ icext(X0,X8)
      | ~ iext(uri_owl_intersectionOf,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,X5)
      | ~ iext(uri_rdf_first,X5,X6)
      | icext(X4,X8) ),
    inference(cnf_transformation,[],[f619]) ).

fof(f768,definition,
    ( spl16_1
  <=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
    | spl16_1 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,definition,
    ( spl16_2
  <=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
    introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).

fof(f772,plain,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | spl16_2 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f773,plain,
    ( ~ spl16_1
    | ~ spl16_2 ),
    inference(avatar_split_clause,[],[f640,f771,f768]) ).

fof(f781,plain,
    icext(uri_ex_PersonAttribute,uri_ex_name),
    inference(resolution,[],[f654,f642]) ).

fof(f804,definition,
    ( spl16_3
  <=> ! [X1] : ~ iext(uri_rdf_first,sK1,X1) ),
    introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).

fof(f805,plain,
    ( ! [X1] : ~ iext(uri_rdf_first,sK1,X1)
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f812,definition,
    ( spl16_5
  <=> ! [X4] : ~ iext(uri_rdf_first,sK2,X4) ),
    introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).

fof(f813,plain,
    ( ! [X4] : ~ iext(uri_rdf_first,sK2,X4)
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f818,plain,
    ( $false
    | ~ spl16_5 ),
    inference(unit_resulting_resolution,[],[f813,f647]) ).

fof(f821,plain,
    ~ spl16_5,
    inference(avatar_contradiction_clause,[],[f818]) ).

fof(f824,plain,
    ( $false
    | ~ spl16_3 ),
    inference(unit_resulting_resolution,[],[f805,f649]) ).

fof(f827,plain,
    ~ spl16_3,
    inference(avatar_contradiction_clause,[],[f824]) ).

fof(f850,definition,
    ( spl16_8
  <=> icext(uri_owl_FunctionalProperty,uri_ex_name) ),
    introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).

fof(f851,plain,
    ( icext(uri_owl_FunctionalProperty,uri_ex_name)
    | ~ spl16_8 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1024,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ iext(uri_rdf_rest,X4,sK2)
      | ~ iext(uri_owl_intersectionOf,X0,X2)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ icext(X0,X1)
      | ~ iext(uri_rdf_first,sK2,X6)
      | icext(X6,X1) ),
    inference(resolution,[],[f690,f646]) ).

fof(f1025,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iext(uri_owl_intersectionOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,sK1)
      | ~ iext(uri_rdf_first,sK1,X3)
      | ~ icext(X0,X4)
      | ~ iext(uri_rdf_first,sK2,X5)
      | icext(X5,X4) ),
    inference(resolution,[],[f1024,f648]) ).

fof(f1027,definition,
    ( spl16_13
  <=> ! [X2,X4,X0,X5,X1] :
        ( ~ iext(uri_owl_intersectionOf,X0,X1)
        | ~ iext(uri_rdf_first,sK2,X5)
        | icext(X5,X4)
        | ~ icext(X0,X4)
        | ~ iext(uri_rdf_rest,X1,sK1)
        | ~ iext(uri_rdf_first,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).

fof(f1028,plain,
    ( ! [X2,X0,X1,X4,X5] :
        ( ~ iext(uri_rdf_rest,X1,sK1)
        | ~ iext(uri_rdf_first,sK2,X5)
        | icext(X5,X4)
        | ~ icext(X0,X4)
        | ~ iext(uri_owl_intersectionOf,X0,X1)
        | ~ iext(uri_rdf_first,X1,X2) )
    | ~ spl16_13 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1029,plain,
    ( spl16_3
    | spl16_13 ),
    inference(avatar_split_clause,[],[f1025,f1027,f804]) ).

fof(f1030,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ iext(uri_rdf_first,sK2,X0)
        | icext(X0,X1)
        | ~ icext(X2,X1)
        | ~ iext(uri_owl_intersectionOf,X2,sK0)
        | ~ iext(uri_rdf_first,sK0,X3) )
    | ~ spl16_13 ),
    inference(resolution,[],[f1028,f650]) ).

fof(f1032,definition,
    ( spl16_14
  <=> ! [X3] : ~ iext(uri_rdf_first,sK0,X3) ),
    introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).

fof(f1033,plain,
    ( ! [X3] : ~ iext(uri_rdf_first,sK0,X3)
    | ~ spl16_14 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1035,definition,
    ( spl16_15
  <=> ! [X2,X0,X1] :
        ( ~ iext(uri_rdf_first,sK2,X0)
        | ~ iext(uri_owl_intersectionOf,X2,sK0)
        | ~ icext(X2,X1)
        | icext(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).

fof(f1036,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_owl_intersectionOf,X2,sK0)
        | ~ iext(uri_rdf_first,sK2,X0)
        | ~ icext(X2,X1)
        | icext(X0,X1) )
    | ~ spl16_15 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1037,plain,
    ( spl16_14
    | spl16_15
    | ~ spl16_13 ),
    inference(avatar_split_clause,[],[f1030,f1027,f1035,f1032]) ).

fof(f1038,plain,
    ( $false
    | ~ spl16_14 ),
    inference(unit_resulting_resolution,[],[f1033,f651]) ).

fof(f1041,plain,
    ~ spl16_14,
    inference(avatar_contradiction_clause,[],[f1038]) ).

fof(f1042,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK2,X0)
        | ~ icext(uri_ex_PersonAttribute,X1)
        | icext(X0,X1) )
    | ~ spl16_15 ),
    inference(resolution,[],[f1036,f652]) ).

fof(f1119,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ icext(X0,X1)
      | ~ iext(uri_owl_intersectionOf,X0,X2)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_rest,X4,sK2)
      | ~ iext(uri_rdf_first,sK2,X6)
      | icext(X5,X1) ),
    inference(resolution,[],[f691,f646]) ).

fof(f1121,definition,
    ( spl16_16
  <=> ! [X2,X3,X4,X0,X5,X1] :
        ( ~ icext(X0,X1)
        | icext(X5,X1)
        | ~ iext(uri_rdf_rest,X4,sK2)
        | ~ iext(uri_rdf_first,X4,X5)
        | ~ iext(uri_rdf_rest,X2,X4)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_owl_intersectionOf,X0,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).

fof(f1122,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ iext(uri_rdf_rest,X4,sK2)
        | icext(X5,X1)
        | ~ icext(X0,X1)
        | ~ iext(uri_rdf_first,X4,X5)
        | ~ iext(uri_rdf_rest,X2,X4)
        | ~ iext(uri_rdf_first,X2,X3)
        | ~ iext(uri_owl_intersectionOf,X0,X2) )
    | ~ spl16_16 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1123,plain,
    ( spl16_5
    | spl16_16 ),
    inference(avatar_split_clause,[],[f1119,f1121,f812]) ).

fof(f1124,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ iext(uri_rdf_rest,X3,sK1)
        | ~ icext(X2,X1)
        | ~ iext(uri_rdf_first,sK1,X0)
        | icext(X0,X1)
        | ~ iext(uri_rdf_first,X3,X4)
        | ~ iext(uri_owl_intersectionOf,X2,X3) )
    | ~ spl16_16 ),
    inference(resolution,[],[f1122,f648]) ).

fof(f1125,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ icext(X0,X1)
        | ~ iext(uri_rdf_first,sK1,X2)
        | icext(X2,X1)
        | ~ iext(uri_rdf_first,sK0,X3)
        | ~ iext(uri_owl_intersectionOf,X0,sK0) )
    | ~ spl16_16 ),
    inference(resolution,[],[f1124,f650]) ).

fof(f1127,definition,
    ( spl16_17
  <=> ! [X2,X0,X1] :
        ( ~ icext(X0,X1)
        | ~ iext(uri_owl_intersectionOf,X0,sK0)
        | ~ iext(uri_rdf_first,sK1,X2)
        | icext(X2,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).

fof(f1128,plain,
    ( ! [X2,X0,X1] :
        ( ~ iext(uri_owl_intersectionOf,X0,sK0)
        | ~ icext(X0,X1)
        | ~ iext(uri_rdf_first,sK1,X2)
        | icext(X2,X1) )
    | ~ spl16_17 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1129,plain,
    ( spl16_14
    | spl16_17
    | ~ spl16_16 ),
    inference(avatar_split_clause,[],[f1125,f1121,f1127,f1032]) ).

fof(f1130,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_rdf_first,sK1,X1)
        | ~ icext(uri_ex_PersonAttribute,X0)
        | icext(X1,X0) )
    | ~ spl16_17 ),
    inference(resolution,[],[f1128,f652]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_PersonAttribute,X0)
        | icext(sK3,X0) )
    | ~ spl16_15 ),
    inference(resolution,[],[f1042,f647]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( ~ icext(uri_ex_PersonAttribute,X0)
        | icext(uri_owl_FunctionalProperty,X0) )
    | ~ spl16_17 ),
    inference(resolution,[],[f1130,f649]) ).

fof(f1664,plain,
    ( icext(uri_owl_FunctionalProperty,uri_ex_name)
    | ~ spl16_17 ),
    inference(resolution,[],[f1456,f781]) ).

fof(f1665,plain,
    ( spl16_8
    | ~ spl16_17 ),
    inference(avatar_split_clause,[],[f1664,f1127,f850]) ).

fof(f1666,plain,
    ( icext(sK3,uri_ex_name)
    | ~ spl16_15 ),
    inference(resolution,[],[f1440,f781]) ).

fof(f1668,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_owl_onProperty,sK3,X0)
        | ~ iext(uri_owl_hasValue,sK3,X1)
        | iext(X0,uri_ex_name,X1) )
    | ~ spl16_15 ),
    inference(resolution,[],[f1666,f682]) ).

fof(f1673,plain,
    ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ spl16_8 ),
    inference(resolution,[],[f851,f655]) ).

fof(f1682,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_hasValue,sK3,X0)
        | iext(uri_rdfs_domain,uri_ex_name,X0) )
    | ~ spl16_15 ),
    inference(resolution,[],[f1668,f644]) ).

fof(f1688,plain,
    ( iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person)
    | ~ spl16_15 ),
    inference(resolution,[],[f1682,f643]) ).

fof(f1689,plain,
    ( ! [X0,X1] :
        ( ~ iext(uri_ex_name,X0,X1)
        | icext(uri_foaf_Person,X0) )
    | ~ spl16_15 ),
    inference(resolution,[],[f1688,f669]) ).

fof(f1692,plain,
    ( icext(uri_foaf_Person,uri_ex_alice)
    | ~ spl16_15 ),
    inference(resolution,[],[f1689,f641]) ).

fof(f1697,plain,
    ( iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
    | ~ spl16_15 ),
    inference(resolution,[],[f1692,f655]) ).

fof(f1699,plain,
    ( $false
    | spl16_1
    | ~ spl16_15 ),
    inference(forward_subsumption_resolution,[],[f1697,f769]) ).

fof(f1700,plain,
    ( spl16_1
    | ~ spl16_15 ),
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1701,plain,
    ( $false
    | spl16_2
    | ~ spl16_8 ),
    inference(forward_subsumption_resolution,[],[f772,f1673]) ).

fof(f1702,plain,
    ( spl16_2
    | ~ spl16_8 ),
    inference(avatar_contradiction_clause,[],[f1701]) ).

cnf(s1,plain,
    ( ~ spl16_1
    | ~ spl16_2 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s5,plain,
    ~ spl16_5,
    inference(sat_conversion,[],[f821]) ).

cnf(s7,plain,
    ~ spl16_3,
    inference(sat_conversion,[],[f827]) ).

cnf(s12,plain,
    ( spl16_3
    | spl16_13 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s13,plain,
    ( ~ spl16_13
    | spl16_14
    | spl16_15 ),
    inference(sat_conversion,[],[f1037]) ).

cnf(s15,plain,
    ~ spl16_14,
    inference(sat_conversion,[],[f1041]) ).

cnf(s16,plain,
    ( spl16_5
    | spl16_16 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s17,plain,
    ( spl16_14
    | ~ spl16_16
    | spl16_17 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s33,plain,
    ( spl16_8
    | ~ spl16_17 ),
    inference(sat_conversion,[],[f1665]) ).

cnf(s35,plain,
    ( spl16_1
    | ~ spl16_15 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s36,plain,
    ( spl16_2
    | ~ spl16_8 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s37,plain,
    ( ~ spl16_13
    | spl16_15 ),
    inference(rat,[],[s13,s15]) ).

cnf(s38,plain,
    spl16_13,
    inference(rat,[],[s12,s7]) ).

cnf(s39,plain,
    spl16_15,
    inference(rat,[],[s37,s38]) ).

cnf(s40,plain,
    spl16_1,
    inference(rat,[],[s35,s39]) ).

cnf(s43,plain,
    spl16_16,
    inference(rat,[],[s16,s5]) ).

cnf(s45,plain,
    spl16_17,
    inference(rat,[],[s17,s15,s43]) ).

cnf(s46,plain,
    spl16_8,
    inference(rat,[],[s33,s45]) ).

cnf(s47,plain,
    spl16_2,
    inference(rat,[],[s36,s46]) ).

cnf(s50,plain,
    $false,
    inference(rat,[],[s1,s47,s40]) ).

fof(f1703,plain,
    $false,
    inference(avatar_sat_refutation,[],[s50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB012+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n020.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 07:00:04 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.46/2.09  % (7259)Detected formulas, will run a generic FOF schedule.
% 8.46/2.09  % (7268)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3815660270:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.46/2.09  % (7268)Refutation not found, incomplete strategy
% 8.46/2.09  % (7268)------------------------------
% 8.46/2.09  % (7268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7268)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7268)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.09  % (7268)Time elapsed: 0.002 s
% 8.46/2.09  % (7268)Peak memory usage: 88 MB
% 8.46/2.09  % (7268)Instructions burned: 3 (million)
% 8.46/2.09  % (7269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1610402487:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.46/2.09  % (7266)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3575363644:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.46/2.09  % (7270)dis-21_1_sil=8000:lcm=predicate:random_seed=180823536:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.46/2.09  % (7267)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1266320066:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.46/2.09  % (7265)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3360850057:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.46/2.09  % (7264)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=793767007:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.46/2.09  % (7267)Refutation not found, incomplete strategy
% 8.46/2.09  % (7267)------------------------------
% 8.46/2.09  % (7267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7267)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7267)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.09  % (7267)Time elapsed: 0.002 s
% 8.46/2.09  % (7267)Peak memory usage: 88 MB
% 8.46/2.09  % (7267)Instructions burned: 2 (million)
% 8.46/2.09  % (7270)Instruction limit reached! 
% 8.46/2.09  % (7270)------------------------------
% 8.46/2.09  % (7270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7270)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7270)Termination reason: Instruction limit
% 8.46/2.09  % (7270)Termination phase: Saturation
% 8.46/2.09  % (7270)Time elapsed: 0.068 s
% 8.46/2.09  % (7270)Peak memory usage: 91 MB
% 8.46/2.09  % (7270)Instructions burned: 130 (million)
% 8.46/2.09  % (7269)Instruction limit reached! 
% 8.46/2.09  % (7269)------------------------------
% 8.46/2.09  % (7269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7269)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7269)Termination reason: Instruction limit
% 8.46/2.09  % (7269)Termination phase: Saturation
% 8.46/2.09  % (7269)Time elapsed: 0.084 s
% 8.46/2.09  % (7269)Peak memory usage: 90 MB
% 8.46/2.09  % (7269)Instructions burned: 139 (million)
% 8.46/2.09  % (7268)------------------------------
% 8.46/2.09  % (7268)------------------------------
% 8.46/2.09  % (7278)lrs+10_1_sil=8000:sp=occurrence:random_seed=832689136:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.46/2.09  % (7279)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3554836277:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.46/2.09  % (7279)Refutation not found, incomplete strategy
% 8.46/2.09  % (7279)------------------------------
% 8.46/2.09  % (7279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7279)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7279)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.09  % (7279)Time elapsed: 0.005 s
% 8.46/2.09  % (7279)Peak memory usage: 89 MB
% 8.46/2.09  % (7279)Instructions burned: 7 (million)
% 8.46/2.09  % (7267)------------------------------
% 8.46/2.09  % (7267)------------------------------
% 8.46/2.09  % (7280)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1253289728:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.46/2.09  % (7280)Refutation not found, incomplete strategy
% 8.46/2.09  % (7280)------------------------------
% 8.46/2.09  % (7280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7280)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7280)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.09  % (7280)Time elapsed: 0.004 s
% 8.46/2.09  % (7280)Peak memory usage: 89 MB
% 8.46/2.09  % (7280)Instructions burned: 4 (million)
% 8.46/2.09  % (7278)Instruction limit reached! 
% 8.46/2.09  % (7278)------------------------------
% 8.46/2.09  % (7278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7278)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7278)Termination reason: Instruction limit
% 8.46/2.09  % (7278)Termination phase: Saturation
% 8.46/2.09  % (7278)Time elapsed: 0.178 s
% 8.46/2.09  % (7278)Peak memory usage: 92 MB
% 8.46/2.09  % (7278)Instructions burned: 287 (million)
% 8.46/2.09  % (7283)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1298414078:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.46/2.09  % (7280)------------------------------
% 8.46/2.09  % (7280)------------------------------
% 8.46/2.09  % (7279)------------------------------
% 8.46/2.09  % (7279)------------------------------
% 8.46/2.09  % (7285)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1955199698:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.46/2.09  % (7283)Instruction limit reached! 
% 8.46/2.09  % (7283)------------------------------
% 8.46/2.09  % (7283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7283)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7283)Termination reason: Instruction limit
% 8.46/2.09  % (7283)Termination phase: Saturation
% 8.46/2.09  % (7283)Time elapsed: 0.137 s
% 8.46/2.09  % (7283)Peak memory usage: 92 MB
% 8.46/2.09  % (7283)Instructions burned: 248 (million)
% 8.46/2.09  % (7287)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2594705573:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.46/2.09  % (7288)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=843965538:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.46/2.09  % (7285)Instruction limit reached! 
% 8.46/2.09  % (7285)------------------------------
% 8.46/2.09  % (7285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7285)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7285)Termination reason: Instruction limit
% 8.46/2.09  % (7285)Termination phase: Saturation
% 8.46/2.09  % (7285)Time elapsed: 0.131 s
% 8.46/2.09  % (7285)Peak memory usage: 89 MB
% 8.46/2.09  % (7285)Instructions burned: 295 (million)
% 8.46/2.09  % (7288)Instruction limit reached! 
% 8.46/2.09  % (7288)------------------------------
% 8.46/2.09  % (7288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7288)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7288)Termination reason: Instruction limit
% 8.46/2.09  % (7288)Termination phase: Saturation
% 8.46/2.09  % (7288)Time elapsed: 0.069 s
% 8.46/2.09  % (7288)Peak memory usage: 90 MB
% 8.46/2.09  % (7288)Instructions burned: 114 (million)
% 8.46/2.09  % (7291)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=583786322:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.46/2.09  % (7265)First to succeed.
% 8.46/2.09  % (7265)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7259"
% 8.46/2.09  % (7291)Instruction limit reached! 
% 8.46/2.09  % (7291)------------------------------
% 8.46/2.09  % (7291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7291)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7291)Termination reason: Instruction limit
% 8.46/2.09  % (7291)Termination phase: Saturation
% 8.46/2.09  % (7291)Time elapsed: 0.065 s
% 8.46/2.09  % (7291)Peak memory usage: 90 MB
% 8.46/2.09  % (7291)Instructions burned: 128 (million)
% 8.46/2.09  % (7293)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1837550579:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.46/2.09  % (7294)lrs+10_1_sil=8000:sp=occurrence:random_seed=1806070044:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.46/2.09  % (7264)Also succeeded, but the first one will report.
% 8.46/2.09  % (7293)Instruction limit reached! 
% 8.46/2.09  % (7293)------------------------------
% 8.46/2.09  % (7293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.09  % (7293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.09  % (7293)CaDiCaL version: 2.1.3
% 8.46/2.09  % (7293)Termination reason: Instruction limit
% 8.46/2.09  % (7293)Termination phase: Saturation
% 8.46/2.09  % (7293)Time elapsed: 0.060 s
% 8.46/2.09  % (7293)Peak memory usage: 89 MB
% 8.46/2.09  % (7293)Instructions burned: 115 (million)
% 8.46/2.09  % (7296)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3958917275:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.46/2.09  % (7265)Refutation found. Thanks to Tanya!
% 8.46/2.09  % SZS status Theorem for theBenchmark
% 8.46/2.09  % SZS output start Proof for theBenchmark
% See solution above
% 9.01/2.28  % (7265)------------------------------
% 9.01/2.28  % (7265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.01/2.28  % (7265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/2.28  % (7265)CaDiCaL version: 2.1.3
% 9.01/2.28  % (7265)Termination reason: Refutation
% 9.01/2.28  % (7265)Time elapsed: 0.760 s
% 9.01/2.28  % (7265)Peak memory usage: 130 MB
% 9.01/2.28  % (7265)Instructions burned: 1117 (million)
% 9.01/2.28  % (7265)------------------------------
% 9.01/2.28  % (7265)------------------------------
% 9.01/2.28  % (7259)Success in time 1.212 s
% 9.01/2.28  % Vampire exiting
%------------------------------------------------------------------------------