TSTP Solution File: SET097+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET097+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 09:03:54 EDT 2024

% Result   : Theorem 0.69s 0.77s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   86 (  19 unt;   0 def)
%            Number of atoms       :  250 (  53 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  270 ( 106   ~;  91   |;  56   &)
%                                         (  11 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  136 ( 118   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f445,plain,
    $false,
    inference(avatar_sat_refutation,[],[f310,f329,f444]) ).

fof(f444,plain,
    spl7_2,
    inference(avatar_contradiction_clause,[],[f443]) ).

fof(f443,plain,
    ( $false
    | spl7_2 ),
    inference(subsumption_resolution,[],[f442,f425]) ).

fof(f425,plain,
    ( member(sK2(sK0),sK0)
    | spl7_2 ),
    inference(backward_demodulation,[],[f331,f423]) ).

fof(f423,plain,
    ( sK2(sK0) = sK6(sK0,null_class)
    | spl7_2 ),
    inference(resolution,[],[f419,f331]) ).

fof(f419,plain,
    ! [X0] :
      ( ~ member(X0,sK0)
      | sK2(sK0) = X0 ),
    inference(duplicate_literal_removal,[],[f415]) ).

fof(f415,plain,
    ! [X0] :
      ( sK2(sK0) = X0
      | sK2(sK0) = X0
      | ~ member(X0,sK0) ),
    inference(resolution,[],[f204,f373]) ).

fof(f373,plain,
    ! [X0] :
      ( member(X0,unordered_pair(sK2(sK0),sK2(sK0)))
      | ~ member(X0,sK0) ),
    inference(subsumption_resolution,[],[f371,f347]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f222,f221]) ).

fof(f221,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',class_elements_are_sets) ).

fof(f222,plain,
    ! [X3,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ( subclass(X0,X1)
        | ( ~ member(sK6(X0,X1),X1)
          & member(sK6(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subclass(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f133,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK6(X0,X1),X1)
        & member(sK6(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( subclass(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subclass(X0,X1) ) ),
    inference(rectify,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ( subclass(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subclass(X0,X1) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',subclass_defn) ).

fof(f371,plain,
    ! [X0] :
      ( ~ member(X0,sK0)
      | member(X0,unordered_pair(sK2(sK0),sK2(sK0)))
      | ~ member(X0,universal_class) ),
    inference(resolution,[],[f370,f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( member(X1,complement(X0))
      | member(X1,X0)
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) )
      & ( ( ~ member(X1,X0)
          & member(X1,universal_class) )
        | ~ member(X1,complement(X0)) ) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) )
      & ( ( ~ member(X1,X0)
          & member(X1,universal_class) )
        | ~ member(X1,complement(X0)) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( member(X1,complement(X0))
    <=> ( ~ member(X1,X0)
        & member(X1,universal_class) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
    <=> ( ~ member(X4,X0)
        & member(X4,universal_class) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',complement) ).

fof(f370,plain,
    ! [X0] :
      ( ~ member(X0,complement(unordered_pair(sK2(sK0),sK2(sK0))))
      | ~ member(X0,sK0) ),
    inference(subsumption_resolution,[],[f369,f164]) ).

fof(f164,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] : ~ member(X0,null_class),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',null_class_defn) ).

fof(f369,plain,
    ! [X0] :
      ( member(X0,null_class)
      | ~ member(X0,sK0)
      | ~ member(X0,complement(unordered_pair(sK2(sK0),sK2(sK0)))) ),
    inference(superposition,[],[f152,f276]) ).

fof(f276,plain,
    null_class = intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0),
    inference(resolution,[],[f275,f159]) ).

fof(f159,plain,
    ! [X0] :
      ( member(sK2(X0),X0)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ( disjoint(sK2(X0),X0)
        & member(sK2(X0),X0)
        & member(sK2(X0),universal_class) )
      | null_class = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f75,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
     => ( disjoint(sK2(X0),X0)
        & member(sK2(X0),X0)
        & member(sK2(X0),universal_class) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ! [X0] :
      ( ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) )
      | null_class = X0 ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( null_class != X0
     => ? [X1] :
          ( disjoint(X1,X0)
          & member(X1,X0)
          & member(X1,universal_class) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( null_class != X0
     => ? [X2] :
          ( disjoint(X2,X0)
          & member(X2,X0)
          & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',regularity) ).

fof(f275,plain,
    ! [X0] : ~ member(X0,intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)),
    inference(subsumption_resolution,[],[f272,f136]) ).

fof(f136,plain,
    null_class != sK0,
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ! [X1] :
        ( ! [X2] : ~ member(X2,intersection(complement(singleton(X1)),sK0))
        | ~ member(X1,sK0) )
    & ! [X3] : singleton(X3) != sK0
    & null_class != sK0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f72,f86]) ).

fof(f86,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ! [X2] : ~ member(X2,intersection(complement(singleton(X1)),X0))
            | ~ member(X1,X0) )
        & ! [X3] : singleton(X3) != X0
        & null_class != X0 )
   => ( ! [X1] :
          ( ! [X2] : ~ member(X2,intersection(complement(singleton(X1)),sK0))
          | ~ member(X1,sK0) )
      & ! [X3] : singleton(X3) != sK0
      & null_class != sK0 ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ? [X0] :
      ( ! [X1] :
          ( ! [X2] : ~ member(X2,intersection(complement(singleton(X1)),X0))
          | ~ member(X1,X0) )
      & ! [X3] : singleton(X3) != X0
      & null_class != X0 ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ~ ! [X0] :
        ( ? [X1] :
            ( ? [X2] : member(X2,intersection(complement(singleton(X1)),X0))
            & member(X1,X0) )
        | ? [X3] : singleton(X3) = X0
        | null_class = X0 ),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0] :
        ( ? [X3] :
            ( ? [X6] : member(X6,intersection(complement(singleton(X3)),X0))
            & member(X3,X0) )
        | ? [X1] : singleton(X1) = X0
        | null_class = X0 ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0] :
      ( ? [X3] :
          ( ? [X6] : member(X6,intersection(complement(singleton(X3)),X0))
          & member(X3,X0) )
      | ? [X1] : singleton(X1) = X0
      | null_class = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',number_of_elements_in_class) ).

fof(f272,plain,
    ! [X0] :
      ( null_class = sK0
      | ~ member(X0,intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)) ),
    inference(resolution,[],[f159,f231]) ).

fof(f231,plain,
    ! [X2,X1] :
      ( ~ member(X1,sK0)
      | ~ member(X2,intersection(complement(unordered_pair(X1,X1)),sK0)) ),
    inference(definition_unfolding,[],[f138,f148]) ).

fof(f148,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',singleton_set_defn) ).

fof(f138,plain,
    ! [X2,X1] :
      ( ~ member(X2,intersection(complement(singleton(X1)),sK0))
      | ~ member(X1,sK0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
      | ~ member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
    <=> ( member(X4,X1)
        & member(X4,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',intersection) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( ( X0 = X2
          | X0 = X1 )
        & member(X0,universal_class) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( ( X1 = X2
          | X0 = X2 )
        & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',unordered_pair_defn) ).

fof(f331,plain,
    ( member(sK6(sK0,null_class),sK0)
    | spl7_2 ),
    inference(resolution,[],[f308,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(sK6(X0,X1),X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f308,plain,
    ( ~ subclass(sK0,null_class)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f307,plain,
    ( spl7_2
  <=> subclass(sK0,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f442,plain,
    ~ member(sK2(sK0),sK0),
    inference(backward_demodulation,[],[f386,f440]) ).

fof(f440,plain,
    sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0),
    inference(duplicate_literal_removal,[],[f439]) ).

fof(f439,plain,
    ( sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
    | sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0) ),
    inference(resolution,[],[f387,f204]) ).

fof(f387,plain,
    member(sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0),unordered_pair(sK2(sK0),sK2(sK0))),
    inference(resolution,[],[f385,f223]) ).

fof(f385,plain,
    ~ subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0),
    inference(subsumption_resolution,[],[f384,f334]) ).

fof(f334,plain,
    ! [X0] :
      ( member(sK6(sK0,unordered_pair(X0,X0)),sK0)
      | ~ subclass(unordered_pair(X0,X0),sK0) ),
    inference(resolution,[],[f284,f223]) ).

fof(f284,plain,
    ! [X0] :
      ( ~ subclass(sK0,unordered_pair(X0,X0))
      | ~ subclass(unordered_pair(X0,X0),sK0) ),
    inference(extensionality_resolution,[],[f220,f232]) ).

fof(f232,plain,
    ! [X3] : sK0 != unordered_pair(X3,X3),
    inference(definition_unfolding,[],[f137,f148]) ).

fof(f137,plain,
    ! [X3] : singleton(X3) != sK0,
    inference(cnf_transformation,[],[f87]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | X0 = X1
      | ~ subclass(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subclass(X1,X0)
        & subclass(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615',extensionality) ).

fof(f384,plain,
    ( ~ member(sK6(sK0,unordered_pair(sK2(sK0),sK2(sK0))),sK0)
    | ~ subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0) ),
    inference(resolution,[],[f373,f333]) ).

fof(f333,plain,
    ! [X0] :
      ( ~ member(sK6(sK0,unordered_pair(X0,X0)),unordered_pair(X0,X0))
      | ~ subclass(unordered_pair(X0,X0),sK0) ),
    inference(resolution,[],[f284,f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(sK6(X0,X1),X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f386,plain,
    ~ member(sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0),sK0),
    inference(resolution,[],[f385,f224]) ).

fof(f329,plain,
    spl7_1,
    inference(avatar_contradiction_clause,[],[f328]) ).

fof(f328,plain,
    ( $false
    | spl7_1 ),
    inference(subsumption_resolution,[],[f326,f164]) ).

fof(f326,plain,
    ( member(sK6(null_class,sK0),null_class)
    | spl7_1 ),
    inference(resolution,[],[f305,f223]) ).

fof(f305,plain,
    ( ~ subclass(null_class,sK0)
    | spl7_1 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl7_1
  <=> subclass(null_class,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f310,plain,
    ( ~ spl7_2
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f287,f304,f307]) ).

fof(f287,plain,
    ( ~ subclass(null_class,sK0)
    | ~ subclass(sK0,null_class) ),
    inference(extensionality_resolution,[],[f220,f136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13  % Problem    : SET097+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.02/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 16:50:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.fdchlVoj3i/Vampire---4.8_8615
% 0.50/0.73  % (8724)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.73  % (8728)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.73  % (8726)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.73  % (8727)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.50/0.73  % (8729)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.50/0.73  % (8725)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.50/0.73  % (8730)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.50/0.73  % (8731)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.50/0.73  % (8731)Refutation not found, incomplete strategy% (8731)------------------------------
% 0.50/0.73  % (8731)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (8731)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73  
% 0.50/0.73  % (8731)Memory used [KB]: 1056
% 0.50/0.73  % (8731)Time elapsed: 0.003 s
% 0.50/0.73  % (8731)Instructions burned: 3 (million)
% 0.50/0.73  % (8731)------------------------------
% 0.50/0.73  % (8731)------------------------------
% 0.55/0.74  % (8732)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.74  % (8724)Instruction limit reached!
% 0.55/0.74  % (8724)------------------------------
% 0.55/0.74  % (8724)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (8724)Termination reason: Unknown
% 0.55/0.74  % (8724)Termination phase: Saturation
% 0.55/0.74  
% 0.55/0.74  % (8724)Memory used [KB]: 1380
% 0.55/0.74  % (8724)Time elapsed: 0.013 s
% 0.55/0.74  % (8724)Instructions burned: 36 (million)
% 0.55/0.74  % (8724)------------------------------
% 0.55/0.74  % (8724)------------------------------
% 0.55/0.75  % (8733)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.75  % (8727)Instruction limit reached!
% 0.55/0.75  % (8727)------------------------------
% 0.55/0.75  % (8727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8727)Termination reason: Unknown
% 0.55/0.75  % (8727)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (8727)Memory used [KB]: 1552
% 0.55/0.75  % (8727)Time elapsed: 0.018 s
% 0.55/0.75  % (8727)Instructions burned: 33 (million)
% 0.55/0.75  % (8727)------------------------------
% 0.55/0.75  % (8727)------------------------------
% 0.55/0.75  % (8728)Instruction limit reached!
% 0.55/0.75  % (8728)------------------------------
% 0.55/0.75  % (8728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8728)Termination reason: Unknown
% 0.55/0.75  % (8728)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (8728)Memory used [KB]: 1499
% 0.55/0.75  % (8728)Time elapsed: 0.019 s
% 0.55/0.75  % (8728)Instructions burned: 34 (million)
% 0.55/0.75  % (8728)------------------------------
% 0.55/0.75  % (8728)------------------------------
% 0.55/0.75  % (8735)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.55/0.75  % (8725)Instruction limit reached!
% 0.55/0.75  % (8725)------------------------------
% 0.55/0.75  % (8725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8725)Termination reason: Unknown
% 0.55/0.75  % (8725)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (8725)Memory used [KB]: 1389
% 0.55/0.75  % (8725)Time elapsed: 0.024 s
% 0.55/0.75  % (8725)Instructions burned: 52 (million)
% 0.55/0.75  % (8725)------------------------------
% 0.55/0.75  % (8725)------------------------------
% 0.55/0.75  % (8729)Instruction limit reached!
% 0.55/0.75  % (8729)------------------------------
% 0.55/0.75  % (8729)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (8729)Termination reason: Unknown
% 0.55/0.75  % (8729)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (8729)Memory used [KB]: 1322
% 0.55/0.75  % (8729)Time elapsed: 0.024 s
% 0.55/0.75  % (8729)Instructions burned: 46 (million)
% 0.55/0.75  % (8729)------------------------------
% 0.55/0.75  % (8729)------------------------------
% 0.55/0.76  % (8736)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.76  % (8737)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.55/0.76  % (8734)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.76  % (8734)Refutation not found, incomplete strategy% (8734)------------------------------
% 0.55/0.76  % (8734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (8734)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8734)Memory used [KB]: 1059
% 0.55/0.76  % (8734)Time elapsed: 0.003 s
% 0.55/0.76  % (8734)Instructions burned: 3 (million)
% 0.55/0.76  % (8737)Refutation not found, incomplete strategy% (8737)------------------------------
% 0.55/0.76  % (8737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (8737)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (8737)Memory used [KB]: 1147
% 0.55/0.76  % (8737)Time elapsed: 0.004 s
% 0.55/0.76  % (8737)Instructions burned: 6 (million)
% 0.55/0.76  % (8734)------------------------------
% 0.55/0.76  % (8734)------------------------------
% 0.55/0.76  % (8733)Instruction limit reached!
% 0.55/0.76  % (8733)------------------------------
% 0.55/0.76  % (8733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (8733)Termination reason: Unknown
% 0.55/0.76  % (8733)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (8737)------------------------------
% 0.55/0.76  % (8737)------------------------------
% 0.55/0.76  % (8733)Memory used [KB]: 1545
% 0.55/0.76  % (8733)Time elapsed: 0.016 s
% 0.55/0.76  % (8733)Instructions burned: 51 (million)
% 0.55/0.76  % (8733)------------------------------
% 0.55/0.76  % (8733)------------------------------
% 0.55/0.76  % (8738)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.55/0.76  % (8735)First to succeed.
% 0.69/0.76  % (8740)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.69/0.76  % (8735)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8723"
% 0.69/0.77  % (8735)Refutation found. Thanks to Tanya!
% 0.69/0.77  % SZS status Theorem for Vampire---4
% 0.69/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.77  % (8735)------------------------------
% 0.69/0.77  % (8735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.77  % (8735)Termination reason: Refutation
% 0.69/0.77  
% 0.69/0.77  % (8735)Memory used [KB]: 1271
% 0.69/0.77  % (8735)Time elapsed: 0.014 s
% 0.69/0.77  % (8735)Instructions burned: 23 (million)
% 0.69/0.77  % (8723)Success in time 0.404 s
% 0.69/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------