TSTP Solution File: SEU353+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n012.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 May  1 03:52:13 EDT 2024

% Result   : Theorem 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   84 (  18 unt;   0 def)
%            Number of atoms       :  235 (  34 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  253 ( 102   ~;  93   |;  39   &)
%                                         (   6 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;   6 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-4 aty)
%            Number of variables   :   86 (  78   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f382,plain,
    $false,
    inference(avatar_sat_refutation,[],[f300,f307,f310,f319,f343,f380]) ).

fof(f380,plain,
    ( spl17_4
    | ~ spl17_5 ),
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f379,plain,
    ( $false
    | spl17_4
    | ~ spl17_5 ),
    inference(subsumption_resolution,[],[f378,f139]) ).

fof(f139,plain,
    element(sK1,the_carrier(sK0)),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( sK1 != apply_as_element(the_carrier(sK0),the_carrier(sK0),identity_on_carrier(sK0),sK1)
    & element(sK1,the_carrier(sK0))
    & one_sorted_str(sK0)
    & ~ empty_carrier(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f62,f104,f103]) ).

fof(f103,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
            & element(X1,the_carrier(X0)) )
        & one_sorted_str(X0)
        & ~ empty_carrier(X0) )
   => ( ? [X1] :
          ( apply_as_element(the_carrier(sK0),the_carrier(sK0),identity_on_carrier(sK0),X1) != X1
          & element(X1,the_carrier(sK0)) )
      & one_sorted_str(sK0)
      & ~ empty_carrier(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ( ? [X1] :
        ( apply_as_element(the_carrier(sK0),the_carrier(sK0),identity_on_carrier(sK0),X1) != X1
        & element(X1,the_carrier(sK0)) )
   => ( sK1 != apply_as_element(the_carrier(sK0),the_carrier(sK0),identity_on_carrier(sK0),sK1)
      & element(sK1,the_carrier(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ? [X0] :
      ( ? [X1] :
          ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
          & element(X1,the_carrier(X0)) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ? [X0] :
      ( ? [X1] :
          ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
          & element(X1,the_carrier(X0)) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,negated_conjecture,
    ~ ! [X0] :
        ( ( one_sorted_str(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
    inference(negated_conjecture,[],[f57]) ).

fof(f57,conjecture,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',t91_tmap_1) ).

fof(f378,plain,
    ( ~ element(sK1,the_carrier(sK0))
    | spl17_4
    | ~ spl17_5 ),
    inference(trivial_inequality_removal,[],[f376]) ).

fof(f376,plain,
    ( sK1 != sK1
    | ~ element(sK1,the_carrier(sK0))
    | spl17_4
    | ~ spl17_5 ),
    inference(superposition,[],[f299,f318]) ).

fof(f318,plain,
    ( ! [X0] :
        ( apply(identity_on_carrier(sK0),X0) = X0
        | ~ element(X0,the_carrier(sK0)) )
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl17_5
  <=> ! [X0] :
        ( apply(identity_on_carrier(sK0),X0) = X0
        | ~ element(X0,the_carrier(sK0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f299,plain,
    ( sK1 != apply(identity_on_carrier(sK0),sK1)
    | spl17_4 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl17_4
  <=> sK1 = apply(identity_on_carrier(sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).

fof(f343,plain,
    ~ spl17_1,
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl17_1 ),
    inference(subsumption_resolution,[],[f341,f137]) ).

fof(f137,plain,
    ~ empty_carrier(sK0),
    inference(cnf_transformation,[],[f105]) ).

fof(f341,plain,
    ( empty_carrier(sK0)
    | ~ spl17_1 ),
    inference(subsumption_resolution,[],[f336,f138]) ).

fof(f138,plain,
    one_sorted_str(sK0),
    inference(cnf_transformation,[],[f105]) ).

fof(f336,plain,
    ( ~ one_sorted_str(sK0)
    | empty_carrier(sK0)
    | ~ spl17_1 ),
    inference(resolution,[],[f287,f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',fc1_struct_0) ).

fof(f287,plain,
    ( empty(the_carrier(sK0))
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl17_1
  <=> empty(the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).

fof(f319,plain,
    ( spl17_1
    | spl17_5 ),
    inference(avatar_split_clause,[],[f313,f317,f285]) ).

fof(f313,plain,
    ! [X0] :
      ( apply(identity_on_carrier(sK0),X0) = X0
      | empty(the_carrier(sK0))
      | ~ element(X0,the_carrier(sK0)) ),
    inference(superposition,[],[f261,f251]) ).

fof(f251,plain,
    identity_on_carrier(sK0) = identity_relation(the_carrier(sK0)),
    inference(resolution,[],[f234,f138]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | identity_on_carrier(X0) = identity_relation(the_carrier(X0)) ),
    inference(definition_unfolding,[],[f146,f145]) ).

fof(f145,plain,
    ! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',redefinition_k6_partfun1) ).

fof(f146,plain,
    ! [X0] :
      ( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',d11_grcat_1) ).

fof(f261,plain,
    ! [X0,X1] :
      ( apply(identity_relation(X0),X1) = X1
      | empty(X0)
      | ~ element(X1,X0) ),
    inference(resolution,[],[f143,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',t2_subset) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | apply(identity_relation(X0),X1) = X1 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( apply(identity_relation(X0),X1) = X1
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( in(X1,X0)
     => apply(identity_relation(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',t35_funct_1) ).

fof(f310,plain,
    spl17_3,
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f309,plain,
    ( $false
    | spl17_3 ),
    inference(subsumption_resolution,[],[f308,f259]) ).

fof(f259,plain,
    relation_of2_as_subset(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0)),
    inference(superposition,[],[f235,f251]) ).

fof(f235,plain,
    ! [X0] : relation_of2_as_subset(identity_relation(X0),X0,X0),
    inference(definition_unfolding,[],[f175,f145]) ).

fof(f175,plain,
    ! [X0] : relation_of2_as_subset(identity_as_relation_of(X0),X0,X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( relation_of2_as_subset(identity_as_relation_of(X0),X0,X0)
      & v1_partfun1(identity_as_relation_of(X0),X0,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',dt_k6_partfun1) ).

fof(f308,plain,
    ( ~ relation_of2_as_subset(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | spl17_3 ),
    inference(resolution,[],[f295,f176]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) )
      & ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',redefinition_m2_relset_1) ).

fof(f295,plain,
    ( ~ relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | spl17_3 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl17_3
  <=> relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f307,plain,
    ( ~ spl17_3
    | spl17_2 ),
    inference(avatar_split_clause,[],[f306,f289,f293]) ).

fof(f289,plain,
    ( spl17_2
  <=> quasi_total(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f306,plain,
    ( ~ relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | spl17_2 ),
    inference(subsumption_resolution,[],[f305,f255]) ).

fof(f255,plain,
    function(identity_on_carrier(sK0)),
    inference(superposition,[],[f168,f251]) ).

fof(f168,plain,
    ! [X0] : function(identity_relation(X0)),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( transitive(identity_relation(X0))
      & symmetric(identity_relation(X0))
      & reflexive(identity_relation(X0))
      & function(identity_relation(X0))
      & relation(identity_relation(X0)) ),
    inference(pure_predicate_removal,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( transitive(identity_relation(X0))
      & antisymmetric(identity_relation(X0))
      & symmetric(identity_relation(X0))
      & reflexive(identity_relation(X0))
      & function(identity_relation(X0))
      & relation(identity_relation(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',fc2_partfun1) ).

fof(f305,plain,
    ( ~ function(identity_on_carrier(sK0))
    | ~ relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | spl17_2 ),
    inference(subsumption_resolution,[],[f302,f260]) ).

fof(f260,plain,
    v1_partfun1(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0)),
    inference(superposition,[],[f236,f251]) ).

fof(f236,plain,
    ! [X0] : v1_partfun1(identity_relation(X0),X0,X0),
    inference(definition_unfolding,[],[f174,f145]) ).

fof(f174,plain,
    ! [X0] : v1_partfun1(identity_as_relation_of(X0),X0,X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f302,plain,
    ( ~ v1_partfun1(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | ~ function(identity_on_carrier(sK0))
    | ~ relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | spl17_2 ),
    inference(resolution,[],[f291,f213]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( quasi_total(X2,X0,X1)
      | ~ v1_partfun1(X2,X0,X1)
      | ~ function(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ( quasi_total(X2,X0,X1)
        & function(X2) )
      | ~ v1_partfun1(X2,X0,X1)
      | ~ function(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ( quasi_total(X2,X0,X1)
        & function(X2) )
      | ~ v1_partfun1(X2,X0,X1)
      | ~ function(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => ( ( v1_partfun1(X2,X0,X1)
          & function(X2) )
       => ( quasi_total(X2,X0,X1)
          & function(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',cc1_funct_2) ).

fof(f291,plain,
    ( ~ quasi_total(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | spl17_2 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f300,plain,
    ( spl17_1
    | ~ spl17_2
    | ~ spl17_3
    | ~ spl17_4 ),
    inference(avatar_split_clause,[],[f283,f297,f293,f289,f285]) ).

fof(f283,plain,
    ( sK1 != apply(identity_on_carrier(sK0),sK1)
    | ~ relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | ~ quasi_total(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | empty(the_carrier(sK0)) ),
    inference(subsumption_resolution,[],[f282,f255]) ).

fof(f282,plain,
    ( sK1 != apply(identity_on_carrier(sK0),sK1)
    | ~ relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | ~ quasi_total(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | ~ function(identity_on_carrier(sK0))
    | empty(the_carrier(sK0)) ),
    inference(subsumption_resolution,[],[f279,f139]) ).

fof(f279,plain,
    ( sK1 != apply(identity_on_carrier(sK0),sK1)
    | ~ element(sK1,the_carrier(sK0))
    | ~ relation_of2(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | ~ quasi_total(identity_on_carrier(sK0),the_carrier(sK0),the_carrier(sK0))
    | ~ function(identity_on_carrier(sK0))
    | empty(the_carrier(sK0)) ),
    inference(superposition,[],[f140,f144]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | ~ element(X3,X0)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2)
      | empty(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2,X3] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | ~ element(X3,X0)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2)
      | empty(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | ~ element(X3,X0)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2)
      | empty(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2,X3] :
      ( ( element(X3,X0)
        & relation_of2(X2,X0,X1)
        & quasi_total(X2,X0,X1)
        & function(X2)
        & ~ empty(X0) )
     => apply_as_element(X0,X1,X2,X3) = apply(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QFk4TVsUNf/Vampire---4.8_4175',redefinition_k8_funct_2) ).

fof(f140,plain,
    sK1 != apply_as_element(the_carrier(sK0),the_carrier(sK0),identity_on_carrier(sK0),sK1),
    inference(cnf_transformation,[],[f105]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:09:56 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.QFk4TVsUNf/Vampire---4.8_4175
% 0.62/0.81  % (4558)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 (2995ds/83Mi)
% 0.62/0.81  % (4552)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 (2995ds/34Mi)
% 0.62/0.81  % (4555)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.81  % (4554)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (4553)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 (2995ds/51Mi)
% 0.62/0.81  % (4556)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 (2995ds/34Mi)
% 0.62/0.81  % (4557)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81  % (4555)Refutation not found, incomplete strategy% (4555)------------------------------
% 0.62/0.81  % (4555)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (4555)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (4559)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 (2995ds/56Mi)
% 0.62/0.81  % (4555)Memory used [KB]: 1032
% 0.62/0.81  % (4555)Time elapsed: 0.003 s
% 0.62/0.81  % (4555)Instructions burned: 2 (million)
% 0.62/0.81  % (4555)------------------------------
% 0.62/0.81  % (4555)------------------------------
% 0.62/0.81  % (4557)Refutation not found, incomplete strategy% (4557)------------------------------
% 0.62/0.81  % (4557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (4557)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (4557)Memory used [KB]: 1043
% 0.62/0.81  % (4557)Time elapsed: 0.003 s
% 0.62/0.81  % (4557)Instructions burned: 4 (million)
% 0.62/0.81  % (4557)------------------------------
% 0.62/0.81  % (4557)------------------------------
% 0.62/0.82  % (4556)Refutation not found, incomplete strategy% (4556)------------------------------
% 0.62/0.82  % (4556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (4556)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (4559)Refutation not found, incomplete strategy% (4559)------------------------------
% 0.62/0.82  % (4559)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (4556)Memory used [KB]: 1142
% 0.62/0.82  % (4556)Time elapsed: 0.005 s
% 0.62/0.82  % (4556)Instructions burned: 6 (million)
% 0.62/0.82  % (4556)------------------------------
% 0.62/0.82  % (4556)------------------------------
% 0.62/0.82  % (4559)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (4559)Memory used [KB]: 1042
% 0.62/0.82  % (4559)Time elapsed: 0.004 s
% 0.62/0.82  % (4559)Instructions burned: 3 (million)
% 0.62/0.82  % (4559)------------------------------
% 0.62/0.82  % (4559)------------------------------
% 0.62/0.82  % (4562)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 (2995ds/55Mi)
% 0.62/0.82  % (4563)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 (2995ds/50Mi)
% 0.62/0.82  % (4554)First to succeed.
% 0.62/0.82  % (4565)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 (2995ds/208Mi)
% 0.62/0.82  % (4566)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 (2995ds/52Mi)
% 0.62/0.82  % (4554)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Theorem for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (4554)------------------------------
% 0.62/0.82  % (4554)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (4554)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (4554)Memory used [KB]: 1180
% 0.62/0.82  % (4554)Time elapsed: 0.011 s
% 0.62/0.82  % (4554)Instructions burned: 15 (million)
% 0.62/0.82  % (4554)------------------------------
% 0.62/0.82  % (4554)------------------------------
% 0.62/0.82  % (4383)Success in time 0.452 s
% 0.62/0.82  % Vampire---4.8 exiting
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