TSTP Solution File: SET935+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET935+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 09:09:06 EDT 2024

% Result   : Theorem 0.42s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   76 (  13 unt;   0 def)
%            Number of atoms       :  263 (  39 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  306 ( 119   ~; 124   |;  48   &)
%                                         (  10 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :  109 (  98   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f218,plain,
    $false,
    inference(avatar_sat_refutation,[],[f129,f145,f150,f194,f217]) ).

fof(f217,plain,
    ~ spl4_6,
    inference(avatar_contradiction_clause,[],[f216]) ).

fof(f216,plain,
    ( $false
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f207,f71]) ).

fof(f71,plain,
    ~ subset(sK0,sK1),
    inference(resolution,[],[f40,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X0,X1)
        | ( ~ subset(X1,X0)
          & ~ subset(X0,X1) ) )
      & ( subset(X1,X0)
        | subset(X0,X1)
        | ~ inclusion_comparable(X0,X1) ) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X0,X1)
        | ( ~ subset(X1,X0)
          & ~ subset(X0,X1) ) )
      & ( subset(X1,X0)
        | subset(X0,X1)
        | ~ inclusion_comparable(X0,X1) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
    <=> ( subset(X1,X0)
        | subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051',d9_xboole_0) ).

fof(f40,plain,
    ~ inclusion_comparable(sK0,sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ~ inclusion_comparable(sK0,sK1)
    & set_union2(powerset(sK0),powerset(sK1)) = powerset(set_union2(sK0,sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f24]) ).

fof(f24,plain,
    ( ? [X0,X1] :
        ( ~ inclusion_comparable(X0,X1)
        & set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1)) )
   => ( ~ inclusion_comparable(sK0,sK1)
      & set_union2(powerset(sK0),powerset(sK1)) = powerset(set_union2(sK0,sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ? [X0,X1] :
      ( ~ inclusion_comparable(X0,X1)
      & set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X0,X1] :
        ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
       => inclusion_comparable(X0,X1) ),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X0,X1] :
      ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
     => inclusion_comparable(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051',t82_zfmisc_1) ).

fof(f207,plain,
    ( subset(sK0,sK1)
    | ~ spl4_6 ),
    inference(superposition,[],[f59,f144]) ).

fof(f144,plain,
    ( sK1 = set_union2(sK0,sK1)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl4_6
  <=> sK1 = set_union2(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f59,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051',t7_xboole_1) ).

fof(f194,plain,
    ( ~ spl4_4
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f193]) ).

fof(f193,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f182,f72]) ).

fof(f72,plain,
    ~ subset(sK1,sK0),
    inference(resolution,[],[f40,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f182,plain,
    ( subset(sK1,sK0)
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(superposition,[],[f139,f173]) ).

fof(f173,plain,
    ( sK0 = set_union2(sK0,sK1)
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f172,f59]) ).

fof(f172,plain,
    ( sK0 = set_union2(sK0,sK1)
    | ~ subset(sK0,set_union2(sK0,sK1))
    | ~ spl4_4 ),
    inference(resolution,[],[f170,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051',d10_xboole_0) ).

fof(f170,plain,
    ( subset(set_union2(sK0,sK1),sK0)
    | ~ spl4_4 ),
    inference(resolution,[],[f126,f65]) ).

fof(f65,plain,
    ! [X3,X0] :
      ( ~ in(X3,powerset(X0))
      | subset(X3,X0) ),
    inference(equality_resolution,[],[f43]) ).

fof(f43,plain,
    ! [X3,X0,X1] :
      ( subset(X3,X0)
      | ~ in(X3,X1)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ( ( ~ subset(sK2(X0,X1),X0)
            | ~ in(sK2(X0,X1),X1) )
          & ( subset(sK2(X0,X1),X0)
            | in(sK2(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f27,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X2,X0)
            | ~ in(X2,X1) )
          & ( subset(X2,X0)
            | in(X2,X1) ) )
     => ( ( ~ subset(sK2(X0,X1),X0)
          | ~ in(sK2(X0,X1),X1) )
        & ( subset(sK2(X0,X1),X0)
          | in(sK2(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( powerset(X0) = X1
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ~ subset(X2,X0) )
            & ( subset(X2,X0)
              | ~ in(X2,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( powerset(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051',d1_zfmisc_1) ).

fof(f126,plain,
    ( in(set_union2(sK0,sK1),powerset(sK0))
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl4_4
  <=> in(set_union2(sK0,sK1),powerset(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f139,plain,
    ( subset(sK1,set_union2(sK0,sK1))
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl4_5
  <=> subset(sK1,set_union2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f150,plain,
    spl4_5,
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f149,plain,
    ( $false
    | spl4_5 ),
    inference(subsumption_resolution,[],[f148,f70]) ).

fof(f70,plain,
    ! [X1] : subset(X1,X1),
    inference(equality_resolution,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f148,plain,
    ( ~ subset(sK1,sK1)
    | spl4_5 ),
    inference(resolution,[],[f146,f64]) ).

fof(f64,plain,
    ! [X3,X0] :
      ( in(X3,powerset(X0))
      | ~ subset(X3,X0) ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ subset(X3,X0)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f146,plain,
    ( ~ in(sK1,powerset(sK1))
    | spl4_5 ),
    inference(resolution,[],[f140,f80]) ).

fof(f80,plain,
    ! [X0] :
      ( subset(X0,set_union2(sK0,sK1))
      | ~ in(X0,powerset(sK1)) ),
    inference(resolution,[],[f74,f66]) ).

fof(f66,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_union2(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f54]) ).

fof(f54,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ( ( ( ~ in(sK3(X0,X1,X2),X1)
              & ~ in(sK3(X0,X1,X2),X0) )
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( in(sK3(X0,X1,X2),X1)
            | in(sK3(X0,X1,X2),X0)
            | in(sK3(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f34,f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,X2) ) )
     => ( ( ( ~ in(sK3(X0,X1,X2),X1)
            & ~ in(sK3(X0,X1,X2),X0) )
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( in(sK3(X0,X1,X2),X1)
          | in(sK3(X0,X1,X2),X0)
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051',d2_xboole_0) ).

fof(f74,plain,
    ! [X0] :
      ( ~ in(X0,set_union2(powerset(sK0),powerset(sK1)))
      | subset(X0,set_union2(sK0,sK1)) ),
    inference(superposition,[],[f65,f39]) ).

fof(f39,plain,
    set_union2(powerset(sK0),powerset(sK1)) = powerset(set_union2(sK0,sK1)),
    inference(cnf_transformation,[],[f25]) ).

fof(f140,plain,
    ( ~ subset(sK1,set_union2(sK0,sK1))
    | spl4_5 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f145,plain,
    ( ~ spl4_5
    | spl4_6
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f136,f120,f142,f138]) ).

fof(f120,plain,
    ( spl4_3
  <=> in(set_union2(sK0,sK1),powerset(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f136,plain,
    ( sK1 = set_union2(sK0,sK1)
    | ~ subset(sK1,set_union2(sK0,sK1))
    | ~ spl4_3 ),
    inference(resolution,[],[f134,f63]) ).

fof(f134,plain,
    ( subset(set_union2(sK0,sK1),sK1)
    | ~ spl4_3 ),
    inference(resolution,[],[f122,f65]) ).

fof(f122,plain,
    ( in(set_union2(sK0,sK1),powerset(sK1))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f129,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f108,f124,f120]) ).

fof(f108,plain,
    ( in(set_union2(sK0,sK1),powerset(sK0))
    | in(set_union2(sK0,sK1),powerset(sK1)) ),
    inference(resolution,[],[f89,f60]) ).

fof(f60,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051',reflexivity_r1_tarski) ).

fof(f89,plain,
    ! [X0] :
      ( ~ subset(X0,set_union2(sK0,sK1))
      | in(X0,powerset(sK0))
      | in(X0,powerset(sK1)) ),
    inference(resolution,[],[f75,f68]) ).

fof(f68,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_union2(X0,X1))
      | in(X4,X0)
      | in(X4,X1) ),
    inference(equality_resolution,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | in(X4,X0)
      | ~ in(X4,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f75,plain,
    ! [X0] :
      ( in(X0,set_union2(powerset(sK0),powerset(sK1)))
      | ~ subset(X0,set_union2(sK0,sK1)) ),
    inference(superposition,[],[f64,f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET935+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.29  % Computer : n032.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit   : 300
% 0.11/0.29  % WCLimit    : 300
% 0.11/0.29  % DateTime   : Fri May  3 16:25:52 EDT 2024
% 0.11/0.29  % CPUTime    : 
% 0.11/0.29  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.29  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.osL0Xsdjiz/Vampire---4.8_3051
% 0.15/0.57  % (3306)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.15/0.57  % (3311)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 (2997ds/56Mi)
% 0.15/0.57  % (3305)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 (2997ds/51Mi)
% 0.15/0.57  % (3307)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.15/0.57  % (3311)Refutation not found, incomplete strategy% (3311)------------------------------
% 0.15/0.57  % (3311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.57  % (3311)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.57  
% 0.15/0.57  % (3311)Memory used [KB]: 974
% 0.15/0.57  % (3311)Time elapsed: 0.001 s
% 0.15/0.57  % (3311)Instructions burned: 3 (million)
% 0.15/0.57  % (3304)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 (2997ds/34Mi)
% 0.15/0.57  % (3308)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 (2997ds/34Mi)
% 0.15/0.57  % (3311)------------------------------
% 0.15/0.57  % (3311)------------------------------
% 0.15/0.58  % (3307)Refutation not found, incomplete strategy% (3307)------------------------------
% 0.15/0.58  % (3307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.58  % (3307)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.58  
% 0.15/0.58  % (3307)Memory used [KB]: 974
% 0.15/0.58  % (3307)Time elapsed: 0.004 s
% 0.15/0.58  % (3308)Refutation not found, incomplete strategy% (3308)------------------------------
% 0.15/0.58  % (3308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.58  % (3308)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.58  
% 0.15/0.58  % (3308)Memory used [KB]: 1039
% 0.15/0.58  % (3308)Time elapsed: 0.003 s
% 0.15/0.58  % (3308)Instructions burned: 3 (million)
% 0.15/0.58  % (3307)Instructions burned: 3 (million)
% 0.15/0.58  % (3308)------------------------------
% 0.15/0.58  % (3308)------------------------------
% 0.15/0.58  % (3304)Refutation not found, incomplete strategy% (3304)------------------------------
% 0.15/0.58  % (3304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.58  % (3304)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.58  
% 0.15/0.58  % (3307)------------------------------
% 0.15/0.58  % (3307)------------------------------
% 0.15/0.58  % (3304)Memory used [KB]: 1053
% 0.15/0.58  % (3304)Time elapsed: 0.003 s
% 0.15/0.58  % (3304)Instructions burned: 4 (million)
% 0.15/0.58  % (3309)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.15/0.58  % (3304)------------------------------
% 0.15/0.58  % (3304)------------------------------
% 0.42/0.58  % (3310)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 (2997ds/83Mi)
% 0.42/0.58  % (3309)First to succeed.
% 0.42/0.58  % (3309)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3300"
% 0.42/0.58  % (3312)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 (2997ds/55Mi)
% 0.42/0.58  % (3309)Refutation found. Thanks to Tanya!
% 0.42/0.58  % SZS status Theorem for Vampire---4
% 0.42/0.58  % SZS output start Proof for Vampire---4
% See solution above
% 0.42/0.58  % (3309)------------------------------
% 0.42/0.58  % (3309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.58  % (3309)Termination reason: Refutation
% 0.42/0.58  
% 0.42/0.58  % (3309)Memory used [KB]: 1079
% 0.42/0.58  % (3309)Time elapsed: 0.005 s
% 0.42/0.58  % (3309)Instructions burned: 10 (million)
% 0.42/0.58  % (3300)Success in time 0.279 s
% 0.42/0.58  % Vampire---4.8 exiting
%------------------------------------------------------------------------------