TSTP Solution File: NUM627+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM627+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n017.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 08:13:34 EDT 2024

% Result   : Theorem 1.06s 0.84s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   71 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :  504 (   5 equ)
%            Maximal formula atoms :    6 (   7 avg)
%            Number of connectives :  252 ( 106   ~;  98   |;  27   &)
%                                         (   7 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  288 ( 288 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  25 usr;  15 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   66 (  63   !;   2   ?;  23   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_21,type,
    sQ62_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f2478,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1405,f1408,f1965,f2373,f2399,f2471]) ).

tff(f2471,plain,
    ( ~ spl63_28
    | ~ spl63_59
    | spl63_98 ),
    inference(avatar_split_clause,[],[f2470,f2368,f1963,f1386]) ).

tff(f1386,plain,
    ( spl63_28
  <=> aSet0(sdtlpdtrp0(xN,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl63_28])]) ).

tff(f1963,plain,
    ( spl63_59
  <=> ! [X0] :
        ( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),X0)
        | ~ aSubsetOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl63_59])]) ).

tff(f2368,plain,
    ( spl63_98
  <=> sdtlseqdt0(szszuzczcdt0(xn),xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl63_98])]) ).

tff(f2470,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xn))
    | ~ spl63_59
    | spl63_98 ),
    inference(subsumption_resolution,[],[f2469,f2406]) ).

tff(f2406,plain,
    ( sdtlseqdt0(xm,xn)
    | spl63_98 ),
    inference(subsumption_resolution,[],[f2405,f853]) ).

tff(f853,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f115]) ).

tff(f115,axiom,
    ( ( xx = sdtlpdtrp0(xe,xm) )
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',m__5389) ).

tff(f2405,plain,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl63_98 ),
    inference(subsumption_resolution,[],[f2401,f843]) ).

tff(f843,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

tff(f111,axiom,
    ( ( xp = sdtlpdtrp0(xe,xn) )
    & aElementOf0(xn,szNzAzT0)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ( szDzizrdt0(xd) = sdtlpdtrp0(xd,xn) )
    & aElementOf0(xn,szDzozmdt0(xd)) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',m__5309) ).

tff(f2401,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,szNzAzT0)
    | spl63_98 ),
    inference(resolution,[],[f2369,f344]) ).

tff(f344,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f191]) ).

tff(f191,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f190]) ).

tff(f190,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f37]) ).

tff(f37,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(szszuzczcdt0(X1),X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',mLessTotal) ).

tff(f2369,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | spl63_98 ),
    inference(avatar_component_clause,[],[f2368]) ).

tff(f2469,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aSet0(sdtlpdtrp0(xN,xn))
    | ~ spl63_59 ),
    inference(subsumption_resolution,[],[f2464,f843]) ).

tff(f2464,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | ~ sdtlseqdt0(xm,xn)
    | ~ aSet0(sdtlpdtrp0(xN,xn))
    | ~ spl63_59 ),
    inference(resolution,[],[f2382,f300]) ).

tff(f300,plain,
    ! [X0: $i] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tff(f152,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',mSubRefl) ).

tff(f2382,plain,
    ( ! [X0: $i] :
        ( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,X0))
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ sdtlseqdt0(xm,X0) )
    | ~ spl63_59 ),
    inference(subsumption_resolution,[],[f2357,f853]) ).

tff(f2357,plain,
    ( ! [X0: $i] :
        ( ~ aElementOf0(xm,szNzAzT0)
        | ~ sdtlseqdt0(xm,X0)
        | ~ aElementOf0(X0,szNzAzT0)
        | ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,X0)) )
    | ~ spl63_59 ),
    inference(resolution,[],[f544,f1964]) ).

tff(f1964,plain,
    ( ! [X0: $i] :
        ( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,xm))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,xn),X0) )
    | ~ spl63_59 ),
    inference(avatar_component_clause,[],[f1963]) ).

tff(f544,plain,
    ! [X0: $i,X1: $i] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f256]) ).

tff(f256,plain,
    ! [X0,X1] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f255]) ).

tff(f255,plain,
    ! [X0,X1] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) ) )
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f83]) ).

tff(f83,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(X1,X0)
       => ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X0))
             => aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',m__3754) ).

tff(f2399,plain,
    spl63_99,
    inference(avatar_contradiction_clause,[],[f2398]) ).

tff(f2398,plain,
    ( $false
    | spl63_99 ),
    inference(subsumption_resolution,[],[f2397,f843]) ).

tff(f2397,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | spl63_99 ),
    inference(resolution,[],[f2372,f330]) ).

tff(f330,plain,
    ! [X0: $i] :
      ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f172]) ).

tff(f172,plain,
    ! [X0] :
      ( ( ( sz00 != szszuzczcdt0(X0) )
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f25,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( ( sz00 != szszuzczcdt0(X0) )
        & aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',mSuccNum) ).

tff(f2372,plain,
    ( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | spl63_99 ),
    inference(avatar_component_clause,[],[f2371]) ).

tff(f2371,plain,
    ( spl63_99
  <=> aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl63_99])]) ).

tff(f2373,plain,
    ( ~ spl63_98
    | ~ spl63_99 ),
    inference(avatar_split_clause,[],[f2366,f2371,f2368]) ).

tff(f2366,plain,
    ( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(xn),xm) ),
    inference(subsumption_resolution,[],[f2350,f853]) ).

tff(f2350,plain,
    ( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(xm,szNzAzT0) ),
    inference(resolution,[],[f544,f858]) ).

tff(f858,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(cnf_transformation,[],[f286]) ).

tff(f286,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
    & ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
        & aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    inference(ennf_transformation,[],[f117]) ).

tff(f117,axiom,
    ~ ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
      | ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
         => aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',m__5442) ).

tff(f1965,plain,
    ( ~ spl63_26
    | spl63_59 ),
    inference(avatar_split_clause,[],[f1953,f1963,f1379]) ).

tff(f1379,plain,
    ( spl63_26
  <=> aSet0(sdtlpdtrp0(xN,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl63_26])]) ).

tff(f1953,plain,
    ! [X0: $i] :
      ( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),X0)
      | ~ aSubsetOf0(X0,sdtlpdtrp0(xN,xm))
      | ~ aSet0(sdtlpdtrp0(xN,xm)) ),
    inference(resolution,[],[f1945,f861]) ).

tff(f861,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f287]) ).

tff(f287,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
    & ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
        & aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
    inference(ennf_transformation,[],[f118]) ).

tff(f118,axiom,
    ~ ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
      | ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xn))
         => aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',m__5461) ).

tff(f1945,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSet0(X2) ),
    inference(subsumption_resolution,[],[f1944,f298]) ).

tff(f298,plain,
    ! [X0: $i,X1: $i] :
      ( ~ aSubsetOf0(X1,X0)
      | aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tff(f149,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',mDefSub) ).

tff(f1944,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ aSet0(X1)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSubsetOf0(X1,X2)
      | aSubsetOf0(X0,X2) ),
    inference(subsumption_resolution,[],[f302,f298]) ).

tff(f302,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ aSet0(X0)
      | ~ aSet0(X1)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSubsetOf0(X1,X2)
      | aSubsetOf0(X0,X2) ),
    inference(cnf_transformation,[],[f156]) ).

tff(f156,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f155]) ).

tff(f155,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

tff(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aSet0(X2)
        & aSet0(X1)
        & aSet0(X0) )
     => ( ( aSubsetOf0(X1,X2)
          & aSubsetOf0(X0,X1) )
       => aSubsetOf0(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',mSubTrans) ).

tff(f1408,plain,
    spl63_28,
    inference(avatar_contradiction_clause,[],[f1407]) ).

tff(f1407,plain,
    ( $false
    | spl63_28 ),
    inference(subsumption_resolution,[],[f1406,f843]) ).

tff(f1406,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | spl63_28 ),
    inference(resolution,[],[f1387,f540]) ).

tff(f540,plain,
    ! [X0: $i] :
      ( aSet0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f254]) ).

tff(f254,plain,
    ! [X0] :
      ( ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & ! [X1] :
            ( aElementOf0(X1,szNzAzT0)
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
        & aSet0(sdtlpdtrp0(xN,X0)) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f82]) ).

tff(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & ! [X1] :
            ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
           => aElementOf0(X1,szNzAzT0) )
        & aSet0(sdtlpdtrp0(xN,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bq5uHllHZJ/Vampire---4.8_32473',m__3671) ).

tff(f1387,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xn))
    | spl63_28 ),
    inference(avatar_component_clause,[],[f1386]) ).

tff(f1405,plain,
    spl63_26,
    inference(avatar_contradiction_clause,[],[f1404]) ).

tff(f1404,plain,
    ( $false
    | spl63_26 ),
    inference(subsumption_resolution,[],[f1403,f853]) ).

tff(f1403,plain,
    ( ~ aElementOf0(xm,szNzAzT0)
    | spl63_26 ),
    inference(resolution,[],[f1380,f540]) ).

tff(f1380,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xm))
    | spl63_26 ),
    inference(avatar_component_clause,[],[f1379]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM627+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % 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
% 0.15/0.36  % Computer : n017.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   : Fri May  3 14:12:08 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.22/0.36  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.bq5uHllHZJ/Vampire---4.8_32473
% 0.57/0.74  % (393)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 (2996ds/56Mi)
% 0.57/0.74  % (386)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 (2996ds/34Mi)
% 0.57/0.74  % (388)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (387)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 (2996ds/51Mi)
% 0.57/0.74  % (391)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74  % (390)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 (2996ds/34Mi)
% 0.57/0.74  % (389)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74  % (392)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 (2996ds/83Mi)
% 0.59/0.76  % (386)Instruction limit reached!
% 0.59/0.76  % (386)------------------------------
% 0.59/0.76  % (386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (386)Termination reason: Unknown
% 0.59/0.76  % (386)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (386)Memory used [KB]: 1761
% 0.59/0.76  % (386)Time elapsed: 0.019 s
% 0.59/0.76  % (386)Instructions burned: 34 (million)
% 0.59/0.76  % (389)Instruction limit reached!
% 0.59/0.76  % (389)------------------------------
% 0.59/0.76  % (389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (386)------------------------------
% 0.59/0.76  % (386)------------------------------
% 0.59/0.76  % (390)Instruction limit reached!
% 0.59/0.76  % (390)------------------------------
% 0.59/0.76  % (390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (389)Termination reason: Unknown
% 0.59/0.76  % (389)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (389)Memory used [KB]: 1779
% 0.59/0.76  % (389)Time elapsed: 0.019 s
% 0.59/0.76  % (389)Instructions burned: 34 (million)
% 0.59/0.76  % (389)------------------------------
% 0.59/0.76  % (389)------------------------------
% 0.59/0.76  % (390)Termination reason: Unknown
% 0.59/0.76  % (390)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (390)Memory used [KB]: 1868
% 0.59/0.76  % (390)Time elapsed: 0.019 s
% 0.59/0.76  % (393)Instruction limit reached!
% 0.59/0.76  % (393)------------------------------
% 0.59/0.76  % (393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (393)Termination reason: Unknown
% 0.59/0.76  % (393)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (393)Memory used [KB]: 2235
% 0.59/0.76  % (393)Time elapsed: 0.020 s
% 0.59/0.76  % (393)Instructions burned: 57 (million)
% 0.59/0.76  % (393)------------------------------
% 0.59/0.76  % (393)------------------------------
% 0.59/0.76  % (390)Instructions burned: 35 (million)
% 0.59/0.76  % (390)------------------------------
% 0.59/0.76  % (390)------------------------------
% 0.59/0.76  % (406)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 (2996ds/208Mi)
% 0.59/0.76  % (404)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 (2996ds/55Mi)
% 0.59/0.76  % (405)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 (2996ds/50Mi)
% 0.59/0.76  % (407)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 (2996ds/52Mi)
% 0.59/0.77  % (391)Instruction limit reached!
% 0.59/0.77  % (391)------------------------------
% 0.59/0.77  % (391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (391)Termination reason: Unknown
% 0.59/0.77  % (391)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (391)Memory used [KB]: 1980
% 0.59/0.77  % (391)Time elapsed: 0.027 s
% 0.59/0.77  % (391)Instructions burned: 45 (million)
% 0.59/0.77  % (391)------------------------------
% 0.59/0.77  % (391)------------------------------
% 0.59/0.77  % (410)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.77  % (387)Instruction limit reached!
% 0.59/0.77  % (387)------------------------------
% 0.59/0.77  % (387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (387)Termination reason: Unknown
% 0.59/0.77  % (387)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (387)Memory used [KB]: 2060
% 0.59/0.77  % (387)Time elapsed: 0.031 s
% 0.59/0.77  % (387)Instructions burned: 51 (million)
% 0.59/0.77  % (387)------------------------------
% 0.59/0.77  % (387)------------------------------
% 0.59/0.78  % (413)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.79  % (404)Instruction limit reached!
% 0.59/0.79  % (404)------------------------------
% 0.59/0.79  % (404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (404)Termination reason: Unknown
% 0.59/0.79  % (404)Termination phase: Property scanning
% 0.59/0.79  
% 0.59/0.79  % (404)Memory used [KB]: 2450
% 0.59/0.79  % (404)Time elapsed: 0.024 s
% 0.59/0.79  % (404)Instructions burned: 56 (million)
% 0.59/0.79  % (404)------------------------------
% 0.59/0.79  % (404)------------------------------
% 0.59/0.79  % (388)Instruction limit reached!
% 0.59/0.79  % (388)------------------------------
% 0.59/0.79  % (388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (388)Termination reason: Unknown
% 0.59/0.79  % (388)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (388)Memory used [KB]: 2222
% 0.59/0.79  % (388)Time elapsed: 0.048 s
% 0.59/0.79  % (388)Instructions burned: 79 (million)
% 0.59/0.79  % (388)------------------------------
% 0.59/0.79  % (388)------------------------------
% 0.59/0.79  % (392)Instruction limit reached!
% 0.59/0.79  % (392)------------------------------
% 0.59/0.79  % (392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (392)Termination reason: Unknown
% 0.59/0.79  % (392)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (392)Memory used [KB]: 2433
% 0.59/0.79  % (392)Time elapsed: 0.048 s
% 0.59/0.79  % (392)Instructions burned: 84 (million)
% 0.59/0.79  % (392)------------------------------
% 0.59/0.79  % (392)------------------------------
% 0.59/0.79  % (405)Instruction limit reached!
% 0.59/0.79  % (405)------------------------------
% 0.59/0.79  % (405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (405)Termination reason: Unknown
% 0.59/0.79  % (405)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (405)Memory used [KB]: 2030
% 0.59/0.79  % (405)Time elapsed: 0.027 s
% 0.59/0.79  % (405)Instructions burned: 51 (million)
% 0.59/0.79  % (405)------------------------------
% 0.59/0.79  % (405)------------------------------
% 0.59/0.79  % (417)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.79  % (407)Instruction limit reached!
% 0.59/0.79  % (407)------------------------------
% 0.59/0.79  % (407)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (407)Termination reason: Unknown
% 0.59/0.79  % (407)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (407)Memory used [KB]: 2104
% 0.59/0.79  % (407)Time elapsed: 0.053 s
% 0.59/0.79  % (407)Instructions burned: 52 (million)
% 0.59/0.79  % (407)------------------------------
% 0.59/0.79  % (407)------------------------------
% 0.59/0.79  % (420)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.79  % (421)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.59/0.79  % (413)Instruction limit reached!
% 0.59/0.79  % (413)------------------------------
% 0.59/0.79  % (413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (413)Termination reason: Unknown
% 0.59/0.79  % (413)Termination phase: Property scanning
% 0.59/0.79  
% 0.59/0.79  % (413)Memory used [KB]: 2450
% 0.59/0.79  % (413)Time elapsed: 0.019 s
% 0.59/0.79  % (413)Instructions burned: 44 (million)
% 0.59/0.79  % (413)------------------------------
% 0.59/0.79  % (413)------------------------------
% 0.59/0.79  % (422)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.59/0.80  % (426)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.59/0.80  % (427)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.59/0.81  % (427)Instruction limit reached!
% 0.59/0.81  % (427)------------------------------
% 0.59/0.81  % (427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (427)Termination reason: Unknown
% 0.59/0.81  % (427)Termination phase: Property scanning
% 0.59/0.81  
% 0.59/0.81  % (427)Memory used [KB]: 1550
% 0.59/0.81  % (427)Time elapsed: 0.016 s
% 0.59/0.81  % (427)Instructions burned: 33 (million)
% 0.59/0.81  % (427)------------------------------
% 0.59/0.81  % (427)------------------------------
% 0.59/0.82  % (440)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.59/0.83  % (426)Instruction limit reached!
% 0.59/0.83  % (426)------------------------------
% 0.59/0.83  % (426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (426)Termination reason: Unknown
% 0.59/0.83  % (426)Termination phase: NewCNF
% 0.59/0.83  
% 0.59/0.83  % (426)Memory used [KB]: 3815
% 0.59/0.83  % (426)Time elapsed: 0.034 s
% 0.59/0.83  % (426)Instructions burned: 62 (million)
% 0.59/0.83  % (426)------------------------------
% 0.59/0.83  % (426)------------------------------
% 0.59/0.83  % (406)Instruction limit reached!
% 0.59/0.83  % (406)------------------------------
% 0.59/0.83  % (406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (406)Termination reason: Unknown
% 0.59/0.83  % (406)Termination phase: Saturation
% 0.59/0.83  
% 0.59/0.83  % (406)Memory used [KB]: 3547
% 0.59/0.83  % (406)Time elapsed: 0.094 s
% 0.59/0.83  % (406)Instructions burned: 210 (million)
% 0.59/0.83  % (406)------------------------------
% 0.59/0.83  % (406)------------------------------
% 0.59/0.83  % (455)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 1.06/0.84  % (459)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 1.06/0.84  % (421)First to succeed.
% 1.06/0.84  % (421)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32716"
% 1.06/0.84  % (421)Refutation found. Thanks to Tanya!
% 1.06/0.84  % SZS status Theorem for Vampire---4
% 1.06/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 1.06/0.85  % (421)------------------------------
% 1.06/0.85  % (421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.06/0.85  % (421)Termination reason: Refutation
% 1.06/0.85  
% 1.06/0.85  % (421)Memory used [KB]: 2223
% 1.06/0.85  % (421)Time elapsed: 0.052 s
% 1.06/0.85  % (421)Instructions burned: 91 (million)
% 1.06/0.85  % (32716)Success in time 0.481 s
% 1.06/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------