TSTP Solution File: SET648+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET648+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n021.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 03:48:28 EDT 2024

% Result   : Theorem 0.59s 0.82s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   65 (  13 unt;   0 def)
%            Number of atoms       :  225 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  260 ( 100   ~;  95   |;  16   &)
%                                         (  13 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   95 (  91   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f299,plain,
    $false,
    inference(avatar_sat_refutation,[],[f256,f288,f298]) ).

fof(f298,plain,
    ~ spl11_7,
    inference(avatar_contradiction_clause,[],[f297]) ).

fof(f297,plain,
    ( $false
    | ~ spl11_7 ),
    inference(subsumption_resolution,[],[f293,f66]) ).

fof(f66,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p26) ).

fof(f293,plain,
    ( ~ ilf_type(cross_product(domain_of(sK1),sK0),set_type)
    | ~ spl11_7 ),
    inference(resolution,[],[f255,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ empty(power_set(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p21) ).

fof(f255,plain,
    ( empty(power_set(cross_product(domain_of(sK1),sK0)))
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl11_7
  <=> empty(power_set(cross_product(domain_of(sK1),sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f288,plain,
    spl11_6,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | spl11_6 ),
    inference(subsumption_resolution,[],[f285,f276]) ).

fof(f276,plain,
    ( ~ member(sK9(sK1,cross_product(domain_of(sK1),sK0)),cross_product(domain_of(sK1),sK0))
    | spl11_6 ),
    inference(unit_resulting_resolution,[],[f66,f66,f251,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ member(sK9(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p20) ).

fof(f251,plain,
    ( ~ member(sK1,power_set(cross_product(domain_of(sK1),sK0)))
    | spl11_6 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl11_6
  <=> member(sK1,power_set(cross_product(domain_of(sK1),sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f285,plain,
    ( member(sK9(sK1,cross_product(domain_of(sK1),sK0)),cross_product(domain_of(sK1),sK0))
    | spl11_6 ),
    inference(unit_resulting_resolution,[],[f203,f66,f66,f66,f275,f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p12) ).

fof(f275,plain,
    ( member(sK9(sK1,cross_product(domain_of(sK1),sK0)),sK1)
    | spl11_6 ),
    inference(unit_resulting_resolution,[],[f66,f66,f251,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( member(sK9(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f203,plain,
    subset(sK1,cross_product(domain_of(sK1),sK0)),
    inference(unit_resulting_resolution,[],[f66,f109,f66,f66,f115,f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ subset(X0,X1)
      | ~ ilf_type(X0,set_type)
      | subset(X0,X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( subset(X0,X2)
              | ~ subset(X1,X2)
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( ( subset(X1,X2)
                  & subset(X0,X1) )
               => subset(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p1) ).

fof(f115,plain,
    ! [X0] : subset(cross_product(X0,range_of(sK1)),cross_product(X0,sK0)),
    inference(unit_resulting_resolution,[],[f66,f66,f66,f63,f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( subset(cross_product(X2,X0),cross_product(X2,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ subset(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subset(cross_product(X2,X0),cross_product(X2,X1))
                & subset(cross_product(X0,X2),cross_product(X1,X2)) )
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subset(cross_product(X2,X0),cross_product(X2,X1))
                & subset(cross_product(X0,X2),cross_product(X1,X2)) )
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( subset(X0,X1)
               => ( subset(cross_product(X2,X0),cross_product(X2,X1))
                  & subset(cross_product(X0,X2),cross_product(X1,X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p3) ).

fof(f63,plain,
    subset(range_of(sK1),sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ ilf_type(X1,relation_type(domain_of(X1),X0))
          & subset(range_of(X1),X0)
          & ilf_type(X1,binary_relation_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ ilf_type(X1,relation_type(domain_of(X1),X0))
          & subset(range_of(X1),X0)
          & ilf_type(X1,binary_relation_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,binary_relation_type)
           => ( subset(range_of(X1),X0)
             => ilf_type(X1,relation_type(domain_of(X1),X0)) ) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( subset(range_of(X1),X0)
           => ilf_type(X1,relation_type(domain_of(X1),X0)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',prove_relset_1_10) ).

fof(f109,plain,
    subset(sK1,cross_product(domain_of(sK1),range_of(sK1))),
    inference(unit_resulting_resolution,[],[f62,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( subset(X0,cross_product(domain_of(X0),range_of(X0)))
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( subset(X0,cross_product(domain_of(X0),range_of(X0)))
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
     => subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p2) ).

fof(f62,plain,
    ilf_type(sK1,binary_relation_type),
    inference(cnf_transformation,[],[f31]) ).

fof(f256,plain,
    ( ~ spl11_6
    | spl11_7 ),
    inference(avatar_split_clause,[],[f247,f253,f249]) ).

fof(f247,plain,
    ( empty(power_set(cross_product(domain_of(sK1),sK0)))
    | ~ member(sK1,power_set(cross_product(domain_of(sK1),sK0))) ),
    inference(subsumption_resolution,[],[f246,f66]) ).

fof(f246,plain,
    ( empty(power_set(cross_product(domain_of(sK1),sK0)))
    | ~ member(sK1,power_set(cross_product(domain_of(sK1),sK0)))
    | ~ ilf_type(sK1,set_type) ),
    inference(subsumption_resolution,[],[f245,f66]) ).

fof(f245,plain,
    ( empty(power_set(cross_product(domain_of(sK1),sK0)))
    | ~ ilf_type(power_set(cross_product(domain_of(sK1),sK0)),set_type)
    | ~ member(sK1,power_set(cross_product(domain_of(sK1),sK0)))
    | ~ ilf_type(sK1,set_type) ),
    inference(resolution,[],[f176,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ member(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p22) ).

fof(f176,plain,
    ~ ilf_type(sK1,member_type(power_set(cross_product(domain_of(sK1),sK0)))),
    inference(unit_resulting_resolution,[],[f66,f66,f125,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X1,subset_type(X0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p15) ).

fof(f125,plain,
    ~ ilf_type(sK1,subset_type(cross_product(domain_of(sK1),sK0))),
    inference(unit_resulting_resolution,[],[f66,f66,f64,f87]) ).

fof(f87,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X3,relation_type(X0,X1)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ATor5KC6oq/Vampire---4.8_25778',p4) ).

fof(f64,plain,
    ~ ilf_type(sK1,relation_type(domain_of(sK1),sK0)),
    inference(cnf_transformation,[],[f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET648+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13  % 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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 17:23:55 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  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.ATor5KC6oq/Vampire---4.8_25778
% 0.59/0.81  % (25896)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)
% 0.59/0.81  % (25891)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)
% 0.59/0.81  % (25895)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)
% 0.59/0.81  % (25892)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)
% 0.59/0.81  % (25893)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.81  % (25897)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)
% 0.59/0.81  % (25898)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)
% 0.59/0.82  % (25896)Refutation not found, incomplete strategy% (25896)------------------------------
% 0.59/0.82  % (25896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.82  % (25896)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (25896)Memory used [KB]: 1030
% 0.59/0.82  % (25896)Time elapsed: 0.003 s
% 0.59/0.82  % (25896)Instructions burned: 3 (million)
% 0.59/0.82  % (25896)------------------------------
% 0.59/0.82  % (25896)------------------------------
% 0.59/0.82  % (25894)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)
% 0.59/0.82  % (25898)Refutation not found, incomplete strategy% (25898)------------------------------
% 0.59/0.82  % (25898)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.82  % (25898)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (25898)Memory used [KB]: 1029
% 0.59/0.82  % (25898)Time elapsed: 0.003 s
% 0.59/0.82  % (25898)Instructions burned: 3 (million)
% 0.59/0.82  % (25898)------------------------------
% 0.59/0.82  % (25898)------------------------------
% 0.59/0.82  % (25894)Refutation not found, incomplete strategy% (25894)------------------------------
% 0.59/0.82  % (25894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.82  % (25894)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82  
% 0.59/0.82  % (25894)Memory used [KB]: 1047
% 0.59/0.82  % (25894)Time elapsed: 0.004 s
% 0.59/0.82  % (25894)Instructions burned: 4 (million)
% 0.59/0.82  % (25894)------------------------------
% 0.59/0.82  % (25894)------------------------------
% 0.59/0.82  % (25899)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)
% 0.59/0.82  % (25897)First to succeed.
% 0.59/0.82  % (25900)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)
% 0.59/0.82  % (25893)Also succeeded, but the first one will report.
% 0.59/0.82  % (25897)Refutation found. Thanks to Tanya!
% 0.59/0.82  % SZS status Theorem for Vampire---4
% 0.59/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.82  % (25897)------------------------------
% 0.59/0.82  % (25897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.82  % (25897)Termination reason: Refutation
% 0.59/0.82  
% 0.59/0.82  % (25897)Memory used [KB]: 1166
% 0.59/0.82  % (25897)Time elapsed: 0.009 s
% 0.59/0.82  % (25897)Instructions burned: 13 (million)
% 0.59/0.82  % (25897)------------------------------
% 0.59/0.82  % (25897)------------------------------
% 0.59/0.82  % (25887)Success in time 0.474 s
% 0.59/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------