TSTP Solution File: NUM517+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM517+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 : n021.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 08:12:43 EDT 2024

% Result   : Theorem 1.00s 0.93s
% Output   : Refutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  102 (  16 unt;   0 def)
%            Number of atoms       :  532 ( 157 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  623 ( 193   ~; 193   |; 207   &)
%                                         (   6 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   7 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :  139 (  87   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3712,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1009,f1590,f1800,f1804,f3534,f3618,f3711]) ).

fof(f3711,plain,
    ~ spl24_125,
    inference(avatar_contradiction_clause,[],[f3710]) ).

fof(f3710,plain,
    ( $false
    | ~ spl24_125 ),
    inference(subsumption_resolution,[],[f3709,f301]) ).

fof(f301,plain,
    ~ doDivides0(xp,sdtsldt0(xn,xr)),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ( ~ doDivides0(xp,xm)
    & ! [X0] :
        ( xm != sdtasdt0(xp,X0)
        | ~ aNaturalNumber0(X0) )
    & ~ doDivides0(xp,sdtsldt0(xn,xr))
    & ! [X1] :
        ( sdtsldt0(xn,xr) != sdtasdt0(xp,X1)
        | ~ aNaturalNumber0(X1) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ( ~ doDivides0(xp,xm)
    & ! [X0] :
        ( xm != sdtasdt0(xp,X0)
        | ~ aNaturalNumber0(X0) )
    & ~ doDivides0(xp,sdtsldt0(xn,xr))
    & ! [X1] :
        ( sdtsldt0(xn,xr) != sdtasdt0(xp,X1)
        | ~ aNaturalNumber0(X1) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ~ ( doDivides0(xp,xm)
      | ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) )
      | ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
          & aNaturalNumber0(sdtsldt0(xn,xr)) )
       => ( doDivides0(xp,sdtsldt0(xn,xr))
          | ? [X1] :
              ( sdtsldt0(xn,xr) = sdtasdt0(xp,X1)
              & aNaturalNumber0(X1) ) ) ) ),
    inference(rectify,[],[f57]) ).

fof(f57,negated_conjecture,
    ~ ( doDivides0(xp,xm)
      | ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) )
      | ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
          & aNaturalNumber0(sdtsldt0(xn,xr)) )
       => ( doDivides0(xp,sdtsldt0(xn,xr))
          | ? [X0] :
              ( sdtasdt0(xp,X0) = sdtsldt0(xn,xr)
              & aNaturalNumber0(X0) ) ) ) ),
    inference(negated_conjecture,[],[f56]) ).

fof(f56,conjecture,
    ( doDivides0(xp,xm)
    | ? [X0] :
        ( xm = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    | ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
        & aNaturalNumber0(sdtsldt0(xn,xr)) )
     => ( doDivides0(xp,sdtsldt0(xn,xr))
        | ? [X0] :
            ( sdtasdt0(xp,X0) = sdtsldt0(xn,xr)
            & aNaturalNumber0(X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',m__) ).

fof(f3709,plain,
    ( doDivides0(xp,sdtsldt0(xn,xr))
    | ~ spl24_125 ),
    inference(resolution,[],[f1589,f209]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ sP1(X0,X1)
      | doDivides0(X1,X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & sdtasdt0(X1,sK3(X0,X1)) = X0
        & aNaturalNumber0(sK3(X0,X1)) )
      | ~ sP1(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f150,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtasdt0(X1,X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(X1,sK3(X0,X1)) = X0
        & aNaturalNumber0(sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & ? [X2] :
            ( sdtasdt0(X1,X2) = X0
            & aNaturalNumber0(X2) ) )
      | ~ sP1(X0,X1) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X0,X2] :
      ( ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ sP1(X0,X2) ),
    inference(nnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X2] :
      ( ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ sP1(X0,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f1589,plain,
    ( sP1(sdtsldt0(xn,xr),xp)
    | ~ spl24_125 ),
    inference(avatar_component_clause,[],[f1587]) ).

fof(f1587,plain,
    ( spl24_125
  <=> sP1(sdtsldt0(xn,xr),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_125])]) ).

fof(f3618,plain,
    ( ~ spl24_20
    | spl24_143 ),
    inference(avatar_split_clause,[],[f3617,f1807,f540]) ).

fof(f540,plain,
    ( spl24_20
  <=> aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).

fof(f1807,plain,
    ( spl24_143
  <=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_143])]) ).

fof(f3617,plain,
    ( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
    inference(subsumption_resolution,[],[f3588,f295]) ).

fof(f295,plain,
    aNaturalNumber0(sK19),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK19)
    & aNaturalNumber0(sK19)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f79,f185]) ).

fof(f185,plain,
    ( ? [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0)
        & aNaturalNumber0(X0) )
   => ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK19)
      & aNaturalNumber0(sK19) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & ? [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0)
        & aNaturalNumber0(X0) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & ? [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0)
        & aNaturalNumber0(X0) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & ? [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0)
        & aNaturalNumber0(X0) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & ~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
          & aNaturalNumber0(sdtsldt0(xn,xr)) )
       => sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',m__2686) ).

fof(f3588,plain,
    ( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sK19)
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
    inference(superposition,[],[f326,f296]) ).

fof(f296,plain,
    sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK19),
    inference(cnf_transformation,[],[f186]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',mSortsB) ).

fof(f3534,plain,
    ( ~ spl24_20
    | ~ spl24_143
    | spl24_124 ),
    inference(avatar_split_clause,[],[f3533,f1583,f1807,f540]) ).

fof(f1583,plain,
    ( spl24_124
  <=> iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_124])]) ).

fof(f3533,plain,
    ( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
    inference(subsumption_resolution,[],[f3524,f292]) ).

fof(f292,plain,
    sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),
    inference(cnf_transformation,[],[f186]) ).

fof(f3524,plain,
    ( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)) ),
    inference(resolution,[],[f297,f327]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X0,X1)
      | iLess0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => iLess0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',mIH_03) ).

fof(f297,plain,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
    inference(cnf_transformation,[],[f186]) ).

fof(f1804,plain,
    spl24_22,
    inference(avatar_contradiction_clause,[],[f1803]) ).

fof(f1803,plain,
    ( $false
    | spl24_22 ),
    inference(subsumption_resolution,[],[f1802,f298]) ).

fof(f298,plain,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    inference(cnf_transformation,[],[f81]) ).

fof(f1802,plain,
    ( ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | spl24_22 ),
    inference(subsumption_resolution,[],[f1801,f205]) ).

fof(f205,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',m__1837) ).

fof(f1801,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | spl24_22 ),
    inference(resolution,[],[f562,f326]) ).

fof(f562,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
    | spl24_22 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl24_22
  <=> aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).

fof(f1800,plain,
    ( ~ spl24_22
    | spl24_20 ),
    inference(avatar_split_clause,[],[f1799,f540,f560]) ).

fof(f1799,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
    | spl24_20 ),
    inference(subsumption_resolution,[],[f1788,f206]) ).

fof(f206,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f1788,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
    | spl24_20 ),
    inference(resolution,[],[f326,f542]) ).

fof(f542,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
    | spl24_20 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f1590,plain,
    ( ~ spl24_124
    | spl24_125
    | spl24_43 ),
    inference(avatar_split_clause,[],[f1581,f768,f1587,f1583]) ).

fof(f768,plain,
    ( spl24_43
  <=> sP0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_43])]) ).

fof(f1581,plain,
    ( sP1(sdtsldt0(xn,xr),xp)
    | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | spl24_43 ),
    inference(subsumption_resolution,[],[f1580,f206]) ).

fof(f1580,plain,
    ( sP1(sdtsldt0(xn,xr),xp)
    | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(xp)
    | spl24_43 ),
    inference(subsumption_resolution,[],[f1579,f769]) ).

fof(f769,plain,
    ( ~ sP0(xp)
    | spl24_43 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1579,plain,
    ( sP1(sdtsldt0(xn,xr),xp)
    | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sP0(xp)
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f1578,f287]) ).

fof(f287,plain,
    aNaturalNumber0(sK18),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
    & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK18)
    & aNaturalNumber0(sK18)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f54,f183]) ).

fof(f183,plain,
    ( ? [X0] :
        ( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK18)
      & aNaturalNumber0(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,axiom,
    ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
    & ? [X0] :
        ( sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm)
        & aNaturalNumber0(X0) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',m__2529) ).

fof(f1578,plain,
    ( sP1(sdtsldt0(xn,xr),xp)
    | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sK18)
    | sP0(xp)
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f1562,f303]) ).

fof(f303,plain,
    ~ doDivides0(xp,xm),
    inference(cnf_transformation,[],[f81]) ).

fof(f1562,plain,
    ( sP1(sdtsldt0(xn,xr),xp)
    | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | doDivides0(xp,xm)
    | ~ aNaturalNumber0(sK18)
    | sP0(xp)
    | ~ aNaturalNumber0(xp) ),
    inference(equality_resolution,[],[f729]) ).

fof(f729,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK18)
      | sP1(sdtsldt0(xn,xr),X0)
      | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
      | doDivides0(X0,xm)
      | ~ aNaturalNumber0(X1)
      | sP0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f728,f298]) ).

fof(f728,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK18)
      | sP1(sdtsldt0(xn,xr),X0)
      | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
      | doDivides0(X0,xm)
      | ~ aNaturalNumber0(X1)
      | sP0(X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(subsumption_resolution,[],[f694,f205]) ).

fof(f694,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK18)
      | sP1(sdtsldt0(xn,xr),X0)
      | ~ iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
      | doDivides0(X0,xm)
      | ~ aNaturalNumber0(X1)
      | sP0(X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xm)
      | ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(superposition,[],[f221,f288]) ).

fof(f288,plain,
    sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK18),
    inference(cnf_transformation,[],[f184]) ).

fof(f221,plain,
    ! [X2,X0,X1,X4] :
      ( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
      | sP1(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | doDivides0(X2,X1)
      | ~ aNaturalNumber0(X4)
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & sdtasdt0(X2,sK6(X1,X2)) = X1
        & aNaturalNumber0(sK6(X1,X2)) )
      | sP1(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X4] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
            | ~ aNaturalNumber0(X4) ) )
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f158,f159]) ).

fof(f159,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( sdtasdt0(X2,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X2,sK6(X1,X2)) = X1
        & aNaturalNumber0(sK6(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X3] :
            ( sdtasdt0(X2,X3) = X1
            & aNaturalNumber0(X3) ) )
      | sP1(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X4] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
            | ~ aNaturalNumber0(X4) ) )
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | sP1(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f68,f145,f144]) ).

fof(f144,plain,
    ! [X2] :
      ( ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ sP0(X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
            | ? [X3] :
                ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
                & aNaturalNumber0(X3) ) )
          & ( isPrime0(X2)
            | ( ! [X4] :
                  ( ( doDivides0(X4,X2)
                    & ? [X5] :
                        ( sdtasdt0(X4,X5) = X2
                        & aNaturalNumber0(X5) )
                    & aNaturalNumber0(X4) )
                 => ( X2 = X4
                    | sz10 = X4 ) )
              & sz10 != X2
              & sz00 != X2 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X2,X1)
              & ? [X6] :
                  ( sdtasdt0(X2,X6) = X1
                  & aNaturalNumber0(X6) ) )
            | ( doDivides0(X2,X0)
              & ? [X7] :
                  ( sdtasdt0(X2,X7) = X0
                  & aNaturalNumber0(X7) ) ) ) ) ) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
            | ? [X3] :
                ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
                & aNaturalNumber0(X3) ) )
          & ( isPrime0(X2)
            | ( ! [X3] :
                  ( ( doDivides0(X3,X2)
                    & ? [X4] :
                        ( sdtasdt0(X3,X4) = X2
                        & aNaturalNumber0(X4) )
                    & aNaturalNumber0(X3) )
                 => ( X2 = X3
                    | sz10 = X3 ) )
              & sz10 != X2
              & sz00 != X2 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X2,X1)
              & ? [X3] :
                  ( sdtasdt0(X2,X3) = X1
                  & aNaturalNumber0(X3) ) )
            | ( doDivides0(X2,X0)
              & ? [X3] :
                  ( sdtasdt0(X2,X3) = X0
                  & aNaturalNumber0(X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',m__1799) ).

fof(f1009,plain,
    ~ spl24_43,
    inference(avatar_contradiction_clause,[],[f1008]) ).

fof(f1008,plain,
    ( $false
    | ~ spl24_43 ),
    inference(subsumption_resolution,[],[f1007,f227]) ).

fof(f227,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & sdtasdt0(xn,xm) = sdtasdt0(xp,sK7)
    & aNaturalNumber0(sK7)
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f70,f161]) ).

fof(f161,plain,
    ( ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK7)
      & aNaturalNumber0(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( ( ( doDivides0(X1,xp)
            | ? [X2] :
                ( sdtasdt0(X1,X2) = xp
                & aNaturalNumber0(X2) ) )
          & aNaturalNumber0(X1) )
       => ( xp = X1
          | sz10 = X1 ) )
    & sz10 != xp
    & sz00 != xp ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X0] :
        ( ( ( doDivides0(X0,xp)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xp
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xp = X0
          | sz10 = X0 ) )
    & sz10 != xp
    & sz00 != xp ),
    file('/export/starexec/sandbox/tmp/tmp.0N2ryyIDPD/Vampire---4.8_8076',m__1860) ).

fof(f1007,plain,
    ( ~ isPrime0(xp)
    | ~ spl24_43 ),
    inference(resolution,[],[f770,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ~ isPrime0(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ( ~ isPrime0(X0)
        & ( ( sK4(X0) != X0
            & sz10 != sK4(X0)
            & doDivides0(sK4(X0),X0)
            & sdtasdt0(sK4(X0),sK5(X0)) = X0
            & aNaturalNumber0(sK5(X0))
            & aNaturalNumber0(sK4(X0)) )
          | sz10 = X0
          | sz00 = X0 ) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f154,f156,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & ? [X2] :
              ( sdtasdt0(X1,X2) = X0
              & aNaturalNumber0(X2) )
          & aNaturalNumber0(X1) )
     => ( sK4(X0) != X0
        & sz10 != sK4(X0)
        & doDivides0(sK4(X0),X0)
        & ? [X2] :
            ( sdtasdt0(sK4(X0),X2) = X0
            & aNaturalNumber0(X2) )
        & aNaturalNumber0(sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ! [X0] :
      ( ? [X2] :
          ( sdtasdt0(sK4(X0),X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(sK4(X0),sK5(X0)) = X0
        & aNaturalNumber0(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ! [X0] :
      ( ( ~ isPrime0(X0)
        & ( ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & ? [X2] :
                  ( sdtasdt0(X1,X2) = X0
                  & aNaturalNumber0(X2) )
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f153]) ).

fof(f153,plain,
    ! [X2] :
      ( ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ sP0(X2) ),
    inference(nnf_transformation,[],[f144]) ).

fof(f770,plain,
    ( sP0(xp)
    | ~ spl24_43 ),
    inference(avatar_component_clause,[],[f768]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM517+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % 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 : n021.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 15:00:37 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.0N2ryyIDPD/Vampire---4.8_8076
% 0.60/0.81  % (8191)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)
% 0.60/0.81  % (8190)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)
% 0.60/0.81  % (8189)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)
% 0.60/0.81  % (8187)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)
% 0.60/0.81  % (8184)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)
% 0.60/0.81  % (8186)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (8188)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)
% 0.60/0.81  % (8185)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)
% 0.60/0.82  % (8187)Instruction limit reached!
% 0.60/0.82  % (8187)------------------------------
% 0.60/0.82  % (8187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8187)Termination reason: Unknown
% 0.60/0.82  % (8187)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (8187)Memory used [KB]: 1706
% 0.60/0.82  % (8187)Time elapsed: 0.018 s
% 0.60/0.82  % (8187)Instructions burned: 34 (million)
% 0.60/0.82  % (8187)------------------------------
% 0.60/0.82  % (8187)------------------------------
% 0.60/0.83  % (8184)Instruction limit reached!
% 0.60/0.83  % (8184)------------------------------
% 0.60/0.83  % (8184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8184)Termination reason: Unknown
% 0.60/0.83  % (8184)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (8184)Memory used [KB]: 1503
% 0.60/0.83  % (8184)Time elapsed: 0.019 s
% 0.60/0.83  % (8184)Instructions burned: 34 (million)
% 0.60/0.83  % (8184)------------------------------
% 0.60/0.83  % (8184)------------------------------
% 0.60/0.83  % (8188)Instruction limit reached!
% 0.60/0.83  % (8188)------------------------------
% 0.60/0.83  % (8188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8188)Termination reason: Unknown
% 0.60/0.83  % (8188)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (8188)Memory used [KB]: 1683
% 0.60/0.83  % (8188)Time elapsed: 0.019 s
% 0.60/0.83  % (8188)Instructions burned: 35 (million)
% 0.60/0.83  % (8188)------------------------------
% 0.60/0.83  % (8188)------------------------------
% 0.60/0.83  % (8193)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)
% 0.60/0.83  % (8194)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)
% 0.60/0.83  % (8189)Instruction limit reached!
% 0.60/0.83  % (8189)------------------------------
% 0.60/0.83  % (8189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8189)Termination reason: Unknown
% 0.60/0.83  % (8189)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (8189)Memory used [KB]: 1620
% 0.60/0.83  % (8189)Time elapsed: 0.023 s
% 0.60/0.83  % (8189)Instructions burned: 45 (million)
% 0.60/0.83  % (8189)------------------------------
% 0.60/0.83  % (8189)------------------------------
% 0.60/0.83  % (8195)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)
% 0.60/0.83  % (8191)Instruction limit reached!
% 0.60/0.83  % (8191)------------------------------
% 0.60/0.83  % (8191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8191)Termination reason: Unknown
% 0.60/0.83  % (8191)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (8191)Memory used [KB]: 1777
% 0.60/0.83  % (8191)Time elapsed: 0.028 s
% 0.60/0.83  % (8191)Instructions burned: 58 (million)
% 0.60/0.83  % (8191)------------------------------
% 0.60/0.83  % (8191)------------------------------
% 0.60/0.84  % (8192)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)
% 0.60/0.84  % (8196)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)
% 0.60/0.84  % (8190)Instruction limit reached!
% 0.60/0.84  % (8190)------------------------------
% 0.60/0.84  % (8190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (8190)Termination reason: Unknown
% 0.60/0.84  % (8190)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (8190)Memory used [KB]: 1932
% 0.60/0.84  % (8190)Time elapsed: 0.032 s
% 0.60/0.84  % (8190)Instructions burned: 84 (million)
% 0.60/0.84  % (8190)------------------------------
% 0.60/0.84  % (8190)------------------------------
% 0.60/0.84  % (8185)Instruction limit reached!
% 0.60/0.84  % (8185)------------------------------
% 0.60/0.84  % (8185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (8185)Termination reason: Unknown
% 0.60/0.84  % (8185)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (8185)Memory used [KB]: 1732
% 0.60/0.84  % (8185)Time elapsed: 0.032 s
% 0.60/0.84  % (8185)Instructions burned: 51 (million)
% 0.60/0.84  % (8185)------------------------------
% 0.60/0.84  % (8185)------------------------------
% 0.82/0.84  % (8198)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)
% 0.82/0.84  % (8197)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)
% 0.82/0.85  % (8186)Instruction limit reached!
% 0.82/0.85  % (8186)------------------------------
% 0.82/0.85  % (8186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.85  % (8186)Termination reason: Unknown
% 0.82/0.85  % (8186)Termination phase: Saturation
% 0.82/0.85  
% 0.82/0.85  % (8186)Memory used [KB]: 1811
% 0.82/0.85  % (8186)Time elapsed: 0.042 s
% 0.82/0.85  % (8186)Instructions burned: 78 (million)
% 0.82/0.85  % (8186)------------------------------
% 0.82/0.85  % (8186)------------------------------
% 0.82/0.85  % (8193)Instruction limit reached!
% 0.82/0.85  % (8193)------------------------------
% 0.82/0.85  % (8193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.85  % (8193)Termination reason: Unknown
% 0.82/0.85  % (8193)Termination phase: Saturation
% 0.82/0.85  
% 0.82/0.85  % (8193)Memory used [KB]: 1610
% 0.82/0.85  % (8193)Time elapsed: 0.025 s
% 0.82/0.85  % (8193)Instructions burned: 52 (million)
% 0.82/0.85  % (8193)------------------------------
% 0.82/0.85  % (8193)------------------------------
% 0.82/0.85  % (8199)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)
% 0.82/0.86  % (8192)Instruction limit reached!
% 0.82/0.86  % (8192)------------------------------
% 0.82/0.86  % (8192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86  % (8192)Termination reason: Unknown
% 0.82/0.86  % (8192)Termination phase: Saturation
% 0.82/0.86  
% 0.82/0.86  % (8192)Memory used [KB]: 1421
% 0.82/0.86  % (8192)Time elapsed: 0.023 s
% 0.82/0.86  % (8192)Instructions burned: 56 (million)
% 0.82/0.86  % (8192)------------------------------
% 0.82/0.86  % (8192)------------------------------
% 0.82/0.86  % (8195)Instruction limit reached!
% 0.82/0.86  % (8195)------------------------------
% 0.82/0.86  % (8195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86  % (8195)Termination reason: Unknown
% 0.82/0.86  % (8195)Termination phase: Saturation
% 0.82/0.86  
% 0.82/0.86  % (8195)Memory used [KB]: 1766
% 0.82/0.86  % (8195)Time elapsed: 0.028 s
% 0.82/0.86  % (8195)Instructions burned: 53 (million)
% 0.82/0.86  % (8195)------------------------------
% 0.82/0.86  % (8195)------------------------------
% 0.82/0.86  % (8200)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)
% 0.82/0.86  % (8201)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)
% 0.82/0.86  % (8197)Instruction limit reached!
% 0.82/0.86  % (8197)------------------------------
% 0.82/0.86  % (8197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86  % (8197)Termination reason: Unknown
% 0.82/0.86  % (8197)Termination phase: Saturation
% 0.82/0.86  
% 0.82/0.86  % (8197)Memory used [KB]: 1401
% 0.82/0.86  % (8197)Time elapsed: 0.018 s
% 0.82/0.86  % (8197)Instructions burned: 43 (million)
% 0.82/0.86  % (8197)------------------------------
% 0.82/0.86  % (8197)------------------------------
% 0.82/0.86  % (8202)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)
% 0.82/0.87  % (8203)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)
% 0.82/0.88  % (8202)Instruction limit reached!
% 0.82/0.88  % (8202)------------------------------
% 0.82/0.88  % (8202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.88  % (8202)Termination reason: Unknown
% 0.82/0.88  % (8202)Termination phase: Saturation
% 0.82/0.88  
% 0.82/0.88  % (8202)Memory used [KB]: 1397
% 0.82/0.88  % (8202)Time elapsed: 0.016 s
% 0.82/0.88  % (8202)Instructions burned: 64 (million)
% 0.82/0.88  % (8202)------------------------------
% 0.82/0.88  % (8202)------------------------------
% 0.82/0.88  % (8203)Instruction limit reached!
% 0.82/0.88  % (8203)------------------------------
% 0.82/0.88  % (8203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.88  % (8203)Termination reason: Unknown
% 0.82/0.88  % (8203)Termination phase: Saturation
% 0.82/0.88  
% 0.82/0.88  % (8203)Memory used [KB]: 1368
% 0.82/0.88  % (8203)Time elapsed: 0.016 s
% 0.82/0.88  % (8203)Instructions burned: 33 (million)
% 0.82/0.88  % (8203)------------------------------
% 0.82/0.88  % (8203)------------------------------
% 0.82/0.88  % (8204)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 (2994ds/1919Mi)
% 1.00/0.89  % (8205)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 (2994ds/55Mi)
% 1.00/0.91  % (8201)Instruction limit reached!
% 1.00/0.91  % (8201)------------------------------
% 1.00/0.91  % (8201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.91  % (8201)Termination reason: Unknown
% 1.00/0.91  % (8201)Termination phase: Saturation
% 1.00/0.91  
% 1.00/0.91  % (8201)Memory used [KB]: 2093
% 1.00/0.91  % (8201)Time elapsed: 0.051 s
% 1.00/0.91  % (8201)Instructions burned: 93 (million)
% 1.00/0.91  % (8201)------------------------------
% 1.00/0.91  % (8201)------------------------------
% 1.00/0.91  % (8199)Instruction limit reached!
% 1.00/0.91  % (8199)------------------------------
% 1.00/0.91  % (8199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.91  % (8199)Termination reason: Unknown
% 1.00/0.91  % (8199)Termination phase: Saturation
% 1.00/0.91  
% 1.00/0.91  % (8199)Memory used [KB]: 2198
% 1.00/0.91  % (8199)Time elapsed: 0.060 s
% 1.00/0.91  % (8199)Instructions burned: 118 (million)
% 1.00/0.91  % (8199)------------------------------
% 1.00/0.91  % (8199)------------------------------
% 1.00/0.91  % (8206)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 (2994ds/53Mi)
% 1.00/0.92  % (8207)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.00/0.92  % (8205)Instruction limit reached!
% 1.00/0.92  % (8205)------------------------------
% 1.00/0.92  % (8205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.92  % (8205)Termination reason: Unknown
% 1.00/0.92  % (8205)Termination phase: Saturation
% 1.00/0.92  
% 1.00/0.92  % (8205)Memory used [KB]: 2198
% 1.00/0.92  % (8205)Time elapsed: 0.052 s
% 1.00/0.92  % (8205)Instructions burned: 55 (million)
% 1.00/0.92  % (8205)------------------------------
% 1.00/0.92  % (8205)------------------------------
% 1.00/0.92  % (8208)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.00/0.93  % (8204)First to succeed.
% 1.00/0.93  % (8204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8183"
% 1.00/0.93  % (8194)Instruction limit reached!
% 1.00/0.93  % (8194)------------------------------
% 1.00/0.93  % (8194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.93  % (8194)Termination reason: Unknown
% 1.00/0.93  % (8194)Termination phase: Saturation
% 1.00/0.93  
% 1.00/0.93  % (8194)Memory used [KB]: 2574
% 1.00/0.93  % (8194)Time elapsed: 0.104 s
% 1.00/0.93  % (8194)Instructions burned: 208 (million)
% 1.00/0.93  % (8194)------------------------------
% 1.00/0.93  % (8194)------------------------------
% 1.00/0.93  % (8204)Refutation found. Thanks to Tanya!
% 1.00/0.93  % SZS status Theorem for Vampire---4
% 1.00/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 1.00/0.93  % (8204)------------------------------
% 1.00/0.93  % (8204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.00/0.93  % (8204)Termination reason: Refutation
% 1.00/0.93  
% 1.00/0.93  % (8204)Memory used [KB]: 2169
% 1.00/0.93  % (8204)Time elapsed: 0.051 s
% 1.00/0.93  % (8204)Instructions burned: 161 (million)
% 1.00/0.93  % (8183)Success in time 0.553 s
% 1.00/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------