TSTP Solution File: NUM582+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM582+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 : n031.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 03:32:15 EDT 2024

% Result   : Theorem 0.98s 0.87s
% Output   : Refutation 0.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :  193 (  19 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  223 (  65   ~;  48   |;  87   &)
%                                         (   5 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   51 (  45   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2465,plain,
    $false,
    inference(subsumption_resolution,[],[f2464,f386]) ).

fof(f386,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.hZ7K7Vxd3K/Vampire---4.8_17607',m__3989) ).

fof(f2464,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(subsumption_resolution,[],[f2455,f543]) ).

fof(f543,plain,
    ~ aSubsetOf0(sF36,xS),
    inference(definition_folding,[],[f409,f542]) ).

fof(f542,plain,
    sdtlpdtrp0(xN,xi) = sF36,
    introduced(function_definition,[new_symbols(definition,[sF36])]) ).

fof(f409,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(cnf_transformation,[],[f254]) ).

fof(f254,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    & ~ aElementOf0(sK22,xS)
    & aElementOf0(sK22,sdtlpdtrp0(xN,xi)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f117,f253]) ).

fof(f253,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
   => ( ~ aElementOf0(sK22,xS)
      & aElementOf0(sK22,sdtlpdtrp0(xN,xi)) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    & ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,negated_conjecture,
    ~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
      | ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
         => aElementOf0(X0,xS) ) ),
    inference(negated_conjecture,[],[f88]) ).

fof(f88,conjecture,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    | ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
       => aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hZ7K7Vxd3K/Vampire---4.8_17607',m__) ).

fof(f2455,plain,
    ( aSubsetOf0(sF36,xS)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(superposition,[],[f2094,f542]) ).

fof(f2094,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(subsumption_resolution,[],[f2093,f468]) ).

fof(f468,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sdtlseqdt0(sz00,X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sdtlseqdt0(sz00,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.hZ7K7Vxd3K/Vampire---4.8_17607',mZeroLess) ).

fof(f2093,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
      | ~ sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(subsumption_resolution,[],[f2083,f473]) ).

fof(f473,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmp.hZ7K7Vxd3K/Vampire---4.8_17607',mZeroNum) ).

fof(f2083,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
      | ~ sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(sz00,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(superposition,[],[f380,f371]) ).

fof(f371,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ( ! [X0] :
        ( sP5(X0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ( ~ aElementOf0(sK20(X0),szNzAzT0)
              & aElementOf0(sK20(X0),sdtlpdtrp0(xN,X0)) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f206,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ aElementOf0(X1,szNzAzT0)
          & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
     => ( ~ aElementOf0(sK20(X0),szNzAzT0)
        & aElementOf0(sK20(X0),sdtlpdtrp0(xN,X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f206,plain,
    ( ! [X0] :
        ( sP5(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) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(definition_folding,[],[f109,f205,f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X3] :
          ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
            & aElementOf0(X3,sdtlpdtrp0(xN,X0))
            & aElement0(X3) ) )
      | ~ sP4(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f205,plain,
    ! [X0] :
      ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & sP4(X0)
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & ! [X4] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
            | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f109,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                & aElement0(X3) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,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) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                & aElement0(X3) ) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,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) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ! [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)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & ! [X3] :
                ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                  & aElementOf0(X3,sdtlpdtrp0(xN,X0))
                  & aElement0(X3) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X4] :
                ( aElementOf0(X4,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(rectify,[],[f81]) ).

fof(f81,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)) ) ) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              <=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
                  & aElementOf0(X1,sdtlpdtrp0(xN,X0))
                  & aElement0(X1) ) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    file('/export/starexec/sandbox/tmp/tmp.hZ7K7Vxd3K/Vampire---4.8_17607',m__3623) ).

fof(f380,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,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,[],[f111]) ).

fof(f111,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]) ).

fof(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.hZ7K7Vxd3K/Vampire---4.8_17607',m__3754) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM582+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11  % 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
% 0.11/0.31  % Computer : n031.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 17:30:59 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.hZ7K7Vxd3K/Vampire---4.8_17607
% 0.61/0.80  % (17722)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)
% 0.61/0.80  % (17721)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)
% 0.61/0.80  % (17720)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (17718)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)
% 0.61/0.80  % (17723)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)
% 0.61/0.80  % (17719)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)
% 0.61/0.80  % (17724)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)
% 0.61/0.80  % (17725)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)
% 0.61/0.82  % (17721)Instruction limit reached!
% 0.61/0.82  % (17721)------------------------------
% 0.61/0.82  % (17721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (17721)Termination reason: Unknown
% 0.61/0.82  % (17722)Instruction limit reached!
% 0.61/0.82  % (17722)------------------------------
% 0.61/0.82  % (17722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (17722)Termination reason: Unknown
% 0.61/0.82  % (17722)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (17722)Memory used [KB]: 1801
% 0.61/0.82  % (17722)Time elapsed: 0.018 s
% 0.61/0.82  % (17722)Instructions burned: 34 (million)
% 0.61/0.82  % (17722)------------------------------
% 0.61/0.82  % (17722)------------------------------
% 0.61/0.82  % (17721)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (17721)Memory used [KB]: 1733
% 0.61/0.82  % (17721)Time elapsed: 0.018 s
% 0.61/0.82  % (17721)Instructions burned: 33 (million)
% 0.61/0.82  % (17721)------------------------------
% 0.61/0.82  % (17721)------------------------------
% 0.61/0.82  % (17718)Instruction limit reached!
% 0.61/0.82  % (17718)------------------------------
% 0.61/0.82  % (17718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (17718)Termination reason: Unknown
% 0.61/0.82  % (17718)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (17718)Memory used [KB]: 1658
% 0.61/0.82  % (17718)Time elapsed: 0.021 s
% 0.61/0.82  % (17718)Instructions burned: 35 (million)
% 0.61/0.82  % (17718)------------------------------
% 0.61/0.82  % (17718)------------------------------
% 0.61/0.82  % (17726)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)
% 0.61/0.82  % (17727)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)
% 0.61/0.82  % (17728)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 (2995ds/208Mi)
% 0.61/0.82  % (17723)Instruction limit reached!
% 0.61/0.82  % (17723)------------------------------
% 0.61/0.82  % (17723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (17723)Termination reason: Unknown
% 0.61/0.82  % (17723)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (17723)Memory used [KB]: 1812
% 0.61/0.82  % (17723)Time elapsed: 0.025 s
% 0.61/0.82  % (17723)Instructions burned: 45 (million)
% 0.61/0.82  % (17723)------------------------------
% 0.61/0.82  % (17723)------------------------------
% 0.61/0.83  % (17729)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 (2995ds/52Mi)
% 0.61/0.83  % (17719)Instruction limit reached!
% 0.61/0.83  % (17719)------------------------------
% 0.61/0.83  % (17719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (17719)Termination reason: Unknown
% 0.61/0.83  % (17719)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (17719)Memory used [KB]: 2000
% 0.61/0.83  % (17719)Time elapsed: 0.031 s
% 0.61/0.83  % (17719)Instructions burned: 52 (million)
% 0.61/0.83  % (17719)------------------------------
% 0.61/0.83  % (17719)------------------------------
% 0.61/0.83  % (17725)Instruction limit reached!
% 0.61/0.83  % (17725)------------------------------
% 0.61/0.83  % (17725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (17725)Termination reason: Unknown
% 0.61/0.83  % (17725)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (17725)Memory used [KB]: 1899
% 0.61/0.83  % (17725)Time elapsed: 0.031 s
% 0.61/0.83  % (17725)Instructions burned: 57 (million)
% 0.61/0.83  % (17725)------------------------------
% 0.61/0.83  % (17725)------------------------------
% 0.61/0.83  % (17730)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)
% 0.61/0.84  % (17731)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)
% 0.61/0.84  % (17726)Instruction limit reached!
% 0.61/0.84  % (17726)------------------------------
% 0.61/0.84  % (17726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (17726)Termination reason: Unknown
% 0.61/0.84  % (17726)Termination phase: Property scanning
% 0.61/0.84  
% 0.61/0.84  % (17726)Memory used [KB]: 2214
% 0.61/0.84  % (17726)Time elapsed: 0.022 s
% 0.61/0.84  % (17726)Instructions burned: 56 (million)
% 0.61/0.84  % (17726)------------------------------
% 0.61/0.84  % (17726)------------------------------
% 0.61/0.84  % (17720)Instruction limit reached!
% 0.61/0.84  % (17720)------------------------------
% 0.61/0.84  % (17720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (17720)Termination reason: Unknown
% 0.61/0.84  % (17720)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (17720)Memory used [KB]: 2002
% 0.61/0.84  % (17720)Time elapsed: 0.045 s
% 0.61/0.84  % (17720)Instructions burned: 78 (million)
% 0.61/0.84  % (17720)------------------------------
% 0.61/0.84  % (17720)------------------------------
% 0.61/0.85  % (17732)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 (2994ds/243Mi)
% 0.61/0.85  % (17727)Instruction limit reached!
% 0.61/0.85  % (17727)------------------------------
% 0.61/0.85  % (17727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85  % (17727)Termination reason: Unknown
% 0.61/0.85  % (17727)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (17727)Memory used [KB]: 1870
% 0.61/0.85  % (17727)Time elapsed: 0.026 s
% 0.61/0.85  % (17727)Instructions burned: 51 (million)
% 0.61/0.85  % (17727)------------------------------
% 0.61/0.85  % (17727)------------------------------
% 0.61/0.85  % (17724)Instruction limit reached!
% 0.61/0.85  % (17724)------------------------------
% 0.61/0.85  % (17724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85  % (17724)Termination reason: Unknown
% 0.61/0.85  % (17724)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (17724)Memory used [KB]: 2382
% 0.61/0.85  % (17724)Time elapsed: 0.046 s
% 0.61/0.85  % (17724)Instructions burned: 83 (million)
% 0.61/0.85  % (17724)------------------------------
% 0.61/0.85  % (17724)------------------------------
% 0.61/0.85  % (17733)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 (2994ds/117Mi)
% 0.61/0.85  % (17734)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 (2994ds/143Mi)
% 0.61/0.85  % (17735)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 (2994ds/93Mi)
% 0.61/0.85  % (17731)Instruction limit reached!
% 0.61/0.85  % (17731)------------------------------
% 0.61/0.85  % (17731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85  % (17731)Termination reason: Unknown
% 0.61/0.85  % (17731)Termination phase: Property scanning
% 0.61/0.85  
% 0.61/0.85  % (17731)Memory used [KB]: 2213
% 0.61/0.85  % (17731)Time elapsed: 0.018 s
% 0.61/0.85  % (17731)Instructions burned: 42 (million)
% 0.61/0.85  % (17731)------------------------------
% 0.61/0.85  % (17731)------------------------------
% 0.61/0.86  % (17736)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 (2994ds/62Mi)
% 0.61/0.86  % (17729)Instruction limit reached!
% 0.61/0.86  % (17729)------------------------------
% 0.61/0.86  % (17729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.86  % (17729)Termination reason: Unknown
% 0.61/0.86  % (17729)Termination phase: Saturation
% 0.61/0.86  
% 0.61/0.86  % (17729)Memory used [KB]: 1826
% 0.61/0.86  % (17729)Time elapsed: 0.031 s
% 0.61/0.86  % (17729)Instructions burned: 53 (million)
% 0.61/0.86  % (17729)------------------------------
% 0.61/0.86  % (17729)------------------------------
% 0.61/0.86  % (17737)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 (2994ds/32Mi)
% 0.98/0.87  % (17728)First to succeed.
% 0.98/0.87  % (17728)Refutation found. Thanks to Tanya!
% 0.98/0.87  % SZS status Theorem for Vampire---4
% 0.98/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.98/0.87  % (17728)------------------------------
% 0.98/0.87  % (17728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.87  % (17728)Termination reason: Refutation
% 0.98/0.87  
% 0.98/0.87  % (17728)Memory used [KB]: 1962
% 0.98/0.87  % (17728)Time elapsed: 0.050 s
% 0.98/0.87  % (17728)Instructions burned: 88 (million)
% 0.98/0.87  % (17728)------------------------------
% 0.98/0.87  % (17728)------------------------------
% 0.98/0.87  % (17715)Success in time 0.538 s
% 0.98/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------