TSTP Solution File: SEU146+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU146+2 : 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 : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:50:15 EDT 2024

% Result   : Theorem 0.71s 0.88s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   79 (   6 unt;   0 def)
%            Number of atoms       :  298 ( 122 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  350 ( 131   ~; 150   |;  51   &)
%                                         (  12 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  108 (  90   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f883,plain,
    $false,
    inference(avatar_sat_refutation,[],[f301,f306,f307,f312,f319,f882]) ).

fof(f882,plain,
    ( ~ spl12_1
    | spl12_2
    | spl12_3 ),
    inference(avatar_contradiction_clause,[],[f881]) ).

fof(f881,plain,
    ( $false
    | ~ spl12_1
    | spl12_2
    | spl12_3 ),
    inference(subsumption_resolution,[],[f880,f305]) ).

fof(f305,plain,
    ( empty_set != sK0
    | spl12_3 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl12_3
  <=> empty_set = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f880,plain,
    ( empty_set = sK0
    | ~ spl12_1
    | spl12_2
    | spl12_3 ),
    inference(subsumption_resolution,[],[f879,f768]) ).

fof(f768,plain,
    ( ~ in(sK1,sK0)
    | ~ spl12_1
    | spl12_2 ),
    inference(resolution,[],[f246,f324]) ).

fof(f324,plain,
    ( ~ subset(unordered_pair(sK1,sK1),sK0)
    | ~ spl12_1
    | spl12_2 ),
    inference(subsumption_resolution,[],[f321,f300]) ).

fof(f300,plain,
    ( sK0 != unordered_pair(sK1,sK1)
    | spl12_2 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl12_2
  <=> sK0 = unordered_pair(sK1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f321,plain,
    ( sK0 = unordered_pair(sK1,sK1)
    | ~ subset(unordered_pair(sK1,sK1),sK0)
    | ~ spl12_1 ),
    inference(resolution,[],[f295,f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

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

fof(f130,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',d10_xboole_0) ).

fof(f295,plain,
    ( subset(sK0,unordered_pair(sK1,sK1))
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl12_1
  <=> subset(sK0,unordered_pair(sK1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( subset(unordered_pair(X0,X0),X1)
      | ~ in(X0,X1) ),
    inference(definition_unfolding,[],[f155,f185]) ).

fof(f185,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',t69_enumset1) ).

fof(f155,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( subset(singleton(X0),X1)
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ~ subset(singleton(X0),X1) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',l2_zfmisc_1) ).

fof(f879,plain,
    ( in(sK1,sK0)
    | empty_set = sK0
    | ~ spl12_1
    | spl12_3 ),
    inference(superposition,[],[f195,f878]) ).

fof(f878,plain,
    ( sK1 = sK5(sK0)
    | ~ spl12_1
    | spl12_3 ),
    inference(subsumption_resolution,[],[f870,f305]) ).

fof(f870,plain,
    ( sK1 = sK5(sK0)
    | empty_set = sK0
    | ~ spl12_1 ),
    inference(resolution,[],[f867,f195]) ).

fof(f867,plain,
    ( ! [X0] :
        ( ~ in(X0,sK0)
        | sK1 = X0 )
    | ~ spl12_1 ),
    inference(duplicate_literal_removal,[],[f854]) ).

fof(f854,plain,
    ( ! [X0] :
        ( ~ in(X0,sK0)
        | sK1 = X0
        | sK1 = X0 )
    | ~ spl12_1 ),
    inference(resolution,[],[f322,f292]) ).

fof(f292,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,unordered_pair(X0,X1))
      | X0 = X4
      | X1 = X4 ),
    inference(equality_resolution,[],[f238]) ).

fof(f238,plain,
    ! [X2,X0,X1,X4] :
      ( X1 = X4
      | X0 = X4
      | ~ in(X4,X2)
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) = X2
        | ( ( ( sK11(X0,X1,X2) != X1
              & sK11(X0,X1,X2) != X0 )
            | ~ in(sK11(X0,X1,X2),X2) )
          & ( sK11(X0,X1,X2) = X1
            | sK11(X0,X1,X2) = X0
            | in(sK11(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( X1 != X4
                & X0 != X4 ) )
            & ( X1 = X4
              | X0 = X4
              | ~ in(X4,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f150,f151]) ).

fof(f151,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( X1 != X3
              & X0 != X3 )
            | ~ in(X3,X2) )
          & ( X1 = X3
            | X0 = X3
            | in(X3,X2) ) )
     => ( ( ( sK11(X0,X1,X2) != X1
            & sK11(X0,X1,X2) != X0 )
          | ~ in(sK11(X0,X1,X2),X2) )
        & ( sK11(X0,X1,X2) = X1
          | sK11(X0,X1,X2) = X0
          | in(sK11(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) = X2
        | ? [X3] :
            ( ( ( X1 != X3
                & X0 != X3 )
              | ~ in(X3,X2) )
            & ( X1 = X3
              | X0 = X3
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( X1 != X4
                & X0 != X4 ) )
            & ( X1 = X4
              | X0 = X4
              | ~ in(X4,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) = X2
        | ? [X3] :
            ( ( ( X1 != X3
                & X0 != X3 )
              | ~ in(X3,X2) )
            & ( X1 = X3
              | X0 = X3
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( X1 != X3
                & X0 != X3 ) )
            & ( X1 = X3
              | X0 = X3
              | ~ in(X3,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1,X2] :
      ( ( unordered_pair(X0,X1) = X2
        | ? [X3] :
            ( ( ( X1 != X3
                & X0 != X3 )
              | ~ in(X3,X2) )
            & ( X1 = X3
              | X0 = X3
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( X1 != X3
                & X0 != X3 ) )
            & ( X1 = X3
              | X0 = X3
              | ~ in(X3,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( unordered_pair(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( X1 = X3
            | X0 = X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',d2_tarski) ).

fof(f322,plain,
    ( ! [X0] :
        ( in(X0,unordered_pair(sK1,sK1))
        | ~ in(X0,sK0) )
    | ~ spl12_1 ),
    inference(resolution,[],[f295,f198]) ).

fof(f198,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK7(X0,X1),X1)
          & in(sK7(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f127,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK7(X0,X1),X1)
        & in(sK7(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',d3_tarski) ).

fof(f195,plain,
    ! [X0] :
      ( in(sK5(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ( empty_set = X0
        | in(sK5(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f120,f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ? [X1] : in(X1,X0)
     => in(sK5(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',d1_xboole_0) ).

fof(f319,plain,
    ( spl12_1
    | ~ spl12_3 ),
    inference(avatar_contradiction_clause,[],[f318]) ).

fof(f318,plain,
    ( $false
    | spl12_1
    | ~ spl12_3 ),
    inference(subsumption_resolution,[],[f317,f168]) ).

fof(f168,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',t2_xboole_1) ).

fof(f317,plain,
    ( ~ subset(empty_set,unordered_pair(sK1,sK1))
    | spl12_1
    | ~ spl12_3 ),
    inference(superposition,[],[f296,f304]) ).

fof(f304,plain,
    ( empty_set = sK0
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f296,plain,
    ( ~ subset(sK0,unordered_pair(sK1,sK1))
    | spl12_1 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f312,plain,
    ( spl12_1
    | ~ spl12_2 ),
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | spl12_1
    | ~ spl12_2 ),
    inference(subsumption_resolution,[],[f310,f278]) ).

fof(f278,plain,
    ! [X1] : subset(X1,X1),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f310,plain,
    ( ~ subset(unordered_pair(sK1,sK1),unordered_pair(sK1,sK1))
    | spl12_1
    | ~ spl12_2 ),
    inference(forward_demodulation,[],[f296,f299]) ).

fof(f299,plain,
    ( sK0 = unordered_pair(sK1,sK1)
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f307,plain,
    ( spl12_1
    | spl12_3
    | spl12_2 ),
    inference(avatar_split_clause,[],[f251,f298,f303,f294]) ).

fof(f251,plain,
    ( sK0 = unordered_pair(sK1,sK1)
    | empty_set = sK0
    | subset(sK0,unordered_pair(sK1,sK1)) ),
    inference(definition_unfolding,[],[f159,f185,f185]) ).

fof(f159,plain,
    ( sK0 = singleton(sK1)
    | empty_set = sK0
    | subset(sK0,singleton(sK1)) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ( ( sK0 != singleton(sK1)
        & empty_set != sK0 )
      | ~ subset(sK0,singleton(sK1)) )
    & ( sK0 = singleton(sK1)
      | empty_set = sK0
      | subset(sK0,singleton(sK1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f106,f107]) ).

fof(f107,plain,
    ( ? [X0,X1] :
        ( ( ( singleton(X1) != X0
            & empty_set != X0 )
          | ~ subset(X0,singleton(X1)) )
        & ( singleton(X1) = X0
          | empty_set = X0
          | subset(X0,singleton(X1)) ) )
   => ( ( ( sK0 != singleton(sK1)
          & empty_set != sK0 )
        | ~ subset(sK0,singleton(sK1)) )
      & ( sK0 = singleton(sK1)
        | empty_set = sK0
        | subset(sK0,singleton(sK1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ? [X0,X1] :
      ( ( ( singleton(X1) != X0
          & empty_set != X0 )
        | ~ subset(X0,singleton(X1)) )
      & ( singleton(X1) = X0
        | empty_set = X0
        | subset(X0,singleton(X1)) ) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ? [X0,X1] :
      ( ( ( singleton(X1) != X0
          & empty_set != X0 )
        | ~ subset(X0,singleton(X1)) )
      & ( singleton(X1) = X0
        | empty_set = X0
        | subset(X0,singleton(X1)) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f78,plain,
    ? [X0,X1] :
      ( subset(X0,singleton(X1))
    <~> ( singleton(X1) = X0
        | empty_set = X0 ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1] :
        ( subset(X0,singleton(X1))
      <=> ( singleton(X1) = X0
          | empty_set = X0 ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X1] :
      ( subset(X0,singleton(X1))
    <=> ( singleton(X1) = X0
        | empty_set = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.LcUS64oTPm/Vampire---4.8_17302',l4_zfmisc_1) ).

fof(f306,plain,
    ( ~ spl12_1
    | ~ spl12_3 ),
    inference(avatar_split_clause,[],[f250,f303,f294]) ).

fof(f250,plain,
    ( empty_set != sK0
    | ~ subset(sK0,unordered_pair(sK1,sK1)) ),
    inference(definition_unfolding,[],[f160,f185]) ).

fof(f160,plain,
    ( empty_set != sK0
    | ~ subset(sK0,singleton(sK1)) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f301,plain,
    ( ~ spl12_1
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f249,f298,f294]) ).

fof(f249,plain,
    ( sK0 != unordered_pair(sK1,sK1)
    | ~ subset(sK0,unordered_pair(sK1,sK1)) ),
    inference(definition_unfolding,[],[f161,f185,f185]) ).

fof(f161,plain,
    ( sK0 != singleton(sK1)
    | ~ subset(sK0,singleton(sK1)) ),
    inference(cnf_transformation,[],[f108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU146+2 : 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
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 16:22:28 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.LcUS64oTPm/Vampire---4.8_17302
% 0.71/0.87  % (17614)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.71/0.87  % (17611)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 (2994ds/34Mi)
% 0.71/0.87  % (17613)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.87  % (17615)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 (2994ds/34Mi)
% 0.71/0.87  % (17612)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 (2994ds/51Mi)
% 0.71/0.87  % (17616)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.71/0.87  % (17617)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 (2994ds/83Mi)
% 0.71/0.87  % (17618)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 (2994ds/56Mi)
% 0.71/0.88  % (17616)First to succeed.
% 0.71/0.88  % (17616)Refutation found. Thanks to Tanya!
% 0.71/0.88  % SZS status Theorem for Vampire---4
% 0.71/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.88  % (17616)------------------------------
% 0.71/0.88  % (17616)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.88  % (17616)Termination reason: Refutation
% 0.71/0.88  
% 0.71/0.88  % (17616)Memory used [KB]: 1260
% 0.71/0.88  % (17616)Time elapsed: 0.017 s
% 0.71/0.88  % (17616)Instructions burned: 29 (million)
% 0.71/0.88  % (17616)------------------------------
% 0.71/0.88  % (17616)------------------------------
% 0.71/0.88  % (17506)Success in time 0.53 s
% 0.71/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------