TSTP Solution File: SET643+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n004.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 : Thu Aug 31 15:44:59 EDT 2023

% Result   : Theorem 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   62 (  12 unt;   0 def)
%            Number of atoms       :  238 (   2 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  291 ( 115   ~; 103   |;  37   &)
%                                         (  10 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :  118 (; 106   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,plain,
    $false,
    inference(subsumption_resolution,[],[f179,f174]) ).

fof(f174,plain,
    ~ member(sF13,power_set(sF13)),
    inference(resolution,[],[f172,f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1) ),
    inference(subsumption_resolution,[],[f160,f139]) ).

fof(f139,plain,
    ! [X2,X0] :
      ( ~ empty(X0)
      | ~ member(X2,X0) ),
    inference(subsumption_resolution,[],[f138,f86]) ).

fof(f86,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.tjzhYYjpXc/Vampire---4.8_12571',p19) ).

fof(f138,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f96,f86]) ).

fof(f96,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ( member(sK5(X0),X0)
            & ilf_type(sK5(X0),set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f59,f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & ilf_type(X1,set_type) )
     => ( member(sK5(X0),X0)
        & ilf_type(sK5(X0),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X1] :
              ( ~ member(X1,X0)
              | ~ ilf_type(X1,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.tjzhYYjpXc/Vampire---4.8_12571',p15) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | empty(X1) ),
    inference(subsumption_resolution,[],[f159,f86]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f123,f86]) ).

fof(f123,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(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,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,[],[f42]) ).

fof(f42,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,[],[f13]) ).

fof(f13,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.tjzhYYjpXc/Vampire---4.8_12571',p13) ).

fof(f172,plain,
    ~ ilf_type(sF13,member_type(power_set(sF13))),
    inference(resolution,[],[f171,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0))) ),
    inference(subsumption_resolution,[],[f155,f86]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f112,f86]) ).

fof(f112,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(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) )
            & ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,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,[],[f7]) ).

fof(f7,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.tjzhYYjpXc/Vampire---4.8_12571',p7) ).

fof(f171,plain,
    ~ ilf_type(sF13,subset_type(sF13)),
    inference(resolution,[],[f168,f130]) ).

fof(f130,plain,
    ~ ilf_type(sF13,sF14),
    inference(definition_folding,[],[f85,f129,f128]) ).

fof(f128,plain,
    cross_product(sK0,sK1) = sF13,
    introduced(function_definition,[]) ).

fof(f129,plain,
    relation_type(sK0,sK1) = sF14,
    introduced(function_definition,[]) ).

fof(f85,plain,
    ~ ilf_type(cross_product(sK0,sK1),relation_type(sK0,sK1)),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ~ ilf_type(cross_product(sK0,sK1),relation_type(sK0,sK1))
    & ilf_type(sK1,set_type)
    & ilf_type(sK0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f23,f50,f49]) ).

fof(f49,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ ilf_type(cross_product(X0,X1),relation_type(X0,X1))
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type) )
   => ( ? [X1] :
          ( ~ ilf_type(cross_product(sK0,X1),relation_type(sK0,X1))
          & ilf_type(X1,set_type) )
      & ilf_type(sK0,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ( ? [X1] :
        ( ~ ilf_type(cross_product(sK0,X1),relation_type(sK0,X1))
        & ilf_type(X1,set_type) )
   => ( ~ ilf_type(cross_product(sK0,sK1),relation_type(sK0,sK1))
      & ilf_type(sK1,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ ilf_type(cross_product(X0,X1),relation_type(X0,X1))
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ilf_type(cross_product(X0,X1),relation_type(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.tjzhYYjpXc/Vampire---4.8_12571',prove_relset_1_5) ).

fof(f168,plain,
    ! [X0] :
      ( ilf_type(X0,sF14)
      | ~ ilf_type(X0,subset_type(sF13)) ),
    inference(forward_demodulation,[],[f167,f128]) ).

fof(f167,plain,
    ! [X0] :
      ( ilf_type(X0,sF14)
      | ~ ilf_type(X0,subset_type(cross_product(sK0,sK1))) ),
    inference(superposition,[],[f166,f129]) ).

fof(f166,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f165,f86]) ).

fof(f165,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f101,f86]) ).

fof(f101,plain,
    ! [X3,X0,X1] :
      ( 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(cnf_transformation,[],[f31]) ).

fof(f31,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,[],[f22]) ).

fof(f22,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.tjzhYYjpXc/Vampire---4.8_12571',p4) ).

fof(f179,plain,
    member(sF13,power_set(sF13)),
    inference(resolution,[],[f175,f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f149,f86]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | member(sK7(X0,X1),X0)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f109,f86]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | member(sK7(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ( ~ member(sK7(X0,X1),X1)
                & member(sK7(X0,X1),X0)
                & ilf_type(sK7(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f67,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK7(X0,X1),X1)
        & member(sK7(X0,X1),X0)
        & ilf_type(sK7(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,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,[],[f34]) ).

fof(f34,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,[],[f11]) ).

fof(f11,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.tjzhYYjpXc/Vampire---4.8_12571',p11) ).

fof(f175,plain,
    ~ member(sK7(sF13,sF13),sF13),
    inference(resolution,[],[f174,f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ member(sK7(X0,X1),X1) ),
    inference(subsumption_resolution,[],[f151,f86]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ member(sK7(X0,X1),X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f110,f86]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ member(sK7(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 10:32:23 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.tjzhYYjpXc/Vampire---4.8_12571
% 0.15/0.36  % (12713)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (12718)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.42  % (12717)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.42  % (12716)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.21/0.42  % (12714)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.42  % (12715)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.42  % (12720)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.43  % (12719)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.43  % (12717)Refutation not found, incomplete strategy% (12717)------------------------------
% 0.21/0.43  % (12717)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (12717)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (12717)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43  
% 0.21/0.43  % (12717)Memory used [KB]: 9978
% 0.21/0.43  % (12717)Time elapsed: 0.006 s
% 0.21/0.43  % (12717)------------------------------
% 0.21/0.43  % (12717)------------------------------
% 0.21/0.43  % (12719)First to succeed.
% 0.21/0.43  % (12718)Also succeeded, but the first one will report.
% 0.21/0.43  % (12719)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Theorem for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (12719)------------------------------
% 0.21/0.43  % (12719)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (12719)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (12719)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (12719)Memory used [KB]: 5500
% 0.21/0.43  % (12719)Time elapsed: 0.007 s
% 0.21/0.43  % (12719)------------------------------
% 0.21/0.43  % (12719)------------------------------
% 0.21/0.43  % (12713)Success in time 0.066 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------