TSTP Solution File: NUM574+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM574+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 03:32:11 EDT 2024

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   86 (  13 unt;   0 def)
%            Number of atoms       :  283 (  46 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  326 ( 129   ~; 130   |;  43   &)
%                                         (   9 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   8 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   63 (  54   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1097,plain,
    $false,
    inference(avatar_sat_refutation,[],[f374,f375,f376,f397,f433,f865,f901,f1096]) ).

fof(f1096,plain,
    ( ~ spl17_1
    | spl17_3
    | ~ spl17_5
    | ~ spl17_38 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1095,plain,
    ( $false
    | ~ spl17_1
    | spl17_3
    | ~ spl17_5
    | ~ spl17_38 ),
    inference(subsumption_resolution,[],[f1089,f386]) ).

fof(f386,plain,
    ( aSet0(sdtlpdtrp0(xN,sz00))
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl17_5
  <=> aSet0(sdtlpdtrp0(xN,sz00)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f1089,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,sz00))
    | ~ spl17_1
    | spl17_3
    | ~ spl17_38 ),
    inference(resolution,[],[f924,f260]) ).

fof(f260,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',mSubRefl) ).

fof(f924,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),sdtlpdtrp0(xN,sz00))
    | ~ spl17_1
    | spl17_3
    | ~ spl17_38 ),
    inference(forward_demodulation,[],[f919,f829]) ).

fof(f829,plain,
    ( sz00 = xi
    | ~ spl17_1 ),
    inference(trivial_inequality_removal,[],[f818]) ).

fof(f818,plain,
    ( sz00 = xi
    | xi != xi
    | ~ spl17_1 ),
    inference(resolution,[],[f584,f249]) ).

fof(f249,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,axiom,
    ( aElementOf0(xi,szNzAzT0)
    & aElementOf0(xj,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',m__3786) ).

fof(f584,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | sz00 = X0
        | xi != X0 )
    | ~ spl17_1 ),
    inference(subsumption_resolution,[],[f581,f296]) ).

fof(f296,plain,
    ! [X0] :
      ( aElementOf0(sK12(X0),szNzAzT0)
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ( szszuzczcdt0(sK12(X0)) = X0
        & aElementOf0(sK12(X0),szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f137,f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
     => ( szszuzczcdt0(sK12(X0)) = X0
        & aElementOf0(sK12(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( ? [X1] :
            ( szszuzczcdt0(X1) = X0
            & aElementOf0(X1,szNzAzT0) )
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',mNatExtra) ).

fof(f581,plain,
    ( ! [X0] :
        ( xi != X0
        | ~ aElementOf0(sK12(X0),szNzAzT0)
        | sz00 = X0
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ spl17_1 ),
    inference(superposition,[],[f365,f297]) ).

fof(f297,plain,
    ! [X0] :
      ( szszuzczcdt0(sK12(X0)) = X0
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f365,plain,
    ( ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl17_1
  <=> ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).

fof(f919,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00))
    | spl17_3
    | ~ spl17_38 ),
    inference(superposition,[],[f372,f864]) ).

fof(f864,plain,
    ( sz00 = xj
    | ~ spl17_38 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f862,plain,
    ( spl17_38
  <=> sz00 = xj ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).

fof(f372,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | spl17_3 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl17_3
  <=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f901,plain,
    ( ~ spl17_1
    | spl17_8 ),
    inference(avatar_contradiction_clause,[],[f900]) ).

fof(f900,plain,
    ( $false
    | ~ spl17_1
    | spl17_8 ),
    inference(subsumption_resolution,[],[f898,f248]) ).

fof(f248,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f898,plain,
    ( ~ aElementOf0(xj,szNzAzT0)
    | ~ spl17_1
    | spl17_8 ),
    inference(resolution,[],[f893,f295]) ).

fof(f295,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,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/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',mZeroLess) ).

fof(f893,plain,
    ( ~ sdtlseqdt0(sz00,xj)
    | ~ spl17_1
    | spl17_8 ),
    inference(superposition,[],[f428,f829]) ).

fof(f428,plain,
    ( ~ sdtlseqdt0(xi,xj)
    | spl17_8 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl17_8
  <=> sdtlseqdt0(xi,xj) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f865,plain,
    ( ~ spl17_9
    | spl17_38
    | ~ spl17_1 ),
    inference(avatar_split_clause,[],[f817,f364,f862,f430]) ).

fof(f430,plain,
    ( spl17_9
  <=> xj = xi ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).

fof(f817,plain,
    ( sz00 = xj
    | xj != xi
    | ~ spl17_1 ),
    inference(resolution,[],[f584,f248]) ).

fof(f433,plain,
    ( ~ spl17_8
    | spl17_9
    | ~ spl17_2 ),
    inference(avatar_split_clause,[],[f424,f367,f430,f426]) ).

fof(f367,plain,
    ( spl17_2
  <=> sdtlseqdt0(xj,xi) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f424,plain,
    ( xj = xi
    | ~ sdtlseqdt0(xi,xj)
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f423,f249]) ).

fof(f423,plain,
    ( xj = xi
    | ~ sdtlseqdt0(xi,xj)
    | ~ aElementOf0(xi,szNzAzT0)
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f422,f248]) ).

fof(f422,plain,
    ( xj = xi
    | ~ sdtlseqdt0(xi,xj)
    | ~ aElementOf0(xj,szNzAzT0)
    | ~ aElementOf0(xi,szNzAzT0)
    | ~ spl17_2 ),
    inference(resolution,[],[f368,f328]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',mLessASymm) ).

fof(f368,plain,
    ( sdtlseqdt0(xj,xi)
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f397,plain,
    spl17_5,
    inference(avatar_split_clause,[],[f396,f385]) ).

fof(f396,plain,
    aSet0(sdtlpdtrp0(xN,sz00)),
    inference(forward_demodulation,[],[f395,f243]) ).

fof(f243,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',m__3623) ).

fof(f395,plain,
    aSet0(xS),
    inference(subsumption_resolution,[],[f391,f255]) ).

fof(f255,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',mNATSet) ).

fof(f391,plain,
    ( aSet0(xS)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[],[f228,f261]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK4(X0,X1),X0)
              & aElementOf0(sK4(X0,X1),X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f183,f184]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK4(X0,X1),X0)
        & aElementOf0(sK4(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f183,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',mDefSub) ).

fof(f228,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',m__3435) ).

fof(f376,plain,
    spl17_2,
    inference(avatar_split_clause,[],[f252,f367]) ).

fof(f252,plain,
    sdtlseqdt0(xj,xi),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & sdtlseqdt0(xj,xi) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,negated_conjecture,
    ~ ( sdtlseqdt0(xj,xi)
     => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    inference(negated_conjecture,[],[f86]) ).

fof(f86,conjecture,
    ( sdtlseqdt0(xj,xi)
   => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',m__) ).

fof(f375,plain,
    ~ spl17_3,
    inference(avatar_split_clause,[],[f253,f371]) ).

fof(f253,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f104]) ).

fof(f374,plain,
    ( spl17_1
    | ~ spl17_2
    | spl17_3 ),
    inference(avatar_split_clause,[],[f362,f371,f367,f364]) ).

fof(f362,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | ~ sdtlseqdt0(xj,xi)
      | szszuzczcdt0(X0) != xi
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(duplicate_literal_removal,[],[f251]) ).

fof(f251,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | ~ sdtlseqdt0(xj,xi)
      | szszuzczcdt0(X0) != xi
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(xj,xi) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ sdtlseqdt0(xj,xi)
    | ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ sdtlseqdt0(xj,xi) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ sdtlseqdt0(xj,xi)
    | ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ sdtlseqdt0(xj,xi) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ( ( ? [X0] :
          ( szszuzczcdt0(X0) = xi
          & aElementOf0(X0,szNzAzT0) )
      & sdtlseqdt0(xj,xi) )
   => ( sdtlseqdt0(xj,xi)
     => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135',m__3786_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : NUM574+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31  % Computer : n009.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
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 16:51:10 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.bIcxw1eSHB/Vampire---4.8_29135
% 0.61/0.80  % (29248)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  % (29246)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  % (29249)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  % (29245)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  % (29250)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  % (29251)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)
% 0.61/0.81  % (29252)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  % (29247)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82  % (29249)Instruction limit reached!
% 0.61/0.82  % (29249)------------------------------
% 0.61/0.82  % (29249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (29249)Termination reason: Unknown
% 0.61/0.82  % (29249)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (29249)Memory used [KB]: 1669
% 0.61/0.82  % (29249)Time elapsed: 0.019 s
% 0.61/0.82  % (29249)Instructions burned: 35 (million)
% 0.61/0.82  % (29249)------------------------------
% 0.61/0.82  % (29249)------------------------------
% 0.61/0.82  % (29248)Instruction limit reached!
% 0.61/0.82  % (29248)------------------------------
% 0.61/0.82  % (29248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (29248)Termination reason: Unknown
% 0.61/0.82  % (29248)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (29248)Memory used [KB]: 1632
% 0.61/0.82  % (29248)Time elapsed: 0.020 s
% 0.61/0.82  % (29248)Instructions burned: 34 (million)
% 0.61/0.82  % (29248)------------------------------
% 0.61/0.82  % (29248)------------------------------
% 0.61/0.82  % (29245)Instruction limit reached!
% 0.61/0.82  % (29245)------------------------------
% 0.61/0.82  % (29245)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (29245)Termination reason: Unknown
% 0.61/0.82  % (29245)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (29245)Memory used [KB]: 1499
% 0.61/0.82  % (29245)Time elapsed: 0.021 s
% 0.61/0.82  % (29245)Instructions burned: 35 (million)
% 0.61/0.82  % (29245)------------------------------
% 0.61/0.82  % (29245)------------------------------
% 0.61/0.82  % (29250)First to succeed.
% 0.61/0.83  % (29253)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)
% 0.61/0.83  % (29254)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)
% 0.61/0.83  % (29250)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Theorem for Vampire---4
% 0.61/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83  % (29250)------------------------------
% 0.61/0.83  % (29250)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (29250)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (29250)Memory used [KB]: 1446
% 0.61/0.83  % (29250)Time elapsed: 0.022 s
% 0.61/0.83  % (29250)Instructions burned: 39 (million)
% 0.61/0.83  % (29250)------------------------------
% 0.61/0.83  % (29250)------------------------------
% 0.61/0.83  % (29244)Success in time 0.491 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------