TSTP Solution File: NUM518+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM518+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 : n003.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 03:31:47 EDT 2024

% Result   : Theorem 0.98s 0.91s
% Output   : Refutation 0.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  141 (  19 unt;   0 def)
%            Number of atoms       :  528 ( 134 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  654 ( 267   ~; 275   |;  76   &)
%                                         (  22 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  14 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  110 ( 100   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3718,plain,
    $false,
    inference(avatar_sat_refutation,[],[f259,f268,f269,f287,f290,f660,f822,f881,f1922,f1988,f2100,f3179,f3234,f3694]) ).

fof(f3694,plain,
    ( spl4_16
    | ~ spl4_64 ),
    inference(avatar_contradiction_clause,[],[f3693]) ).

fof(f3693,plain,
    ( $false
    | spl4_16
    | ~ spl4_64 ),
    inference(subsumption_resolution,[],[f3692,f160]) ).

fof(f160,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( isPrime0(xr)
    & doDivides0(xr,xk)
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__2342) ).

fof(f3692,plain,
    ( ~ aNaturalNumber0(xr)
    | spl4_16
    | ~ spl4_64 ),
    inference(subsumption_resolution,[],[f3659,f478]) ).

fof(f478,plain,
    ( sz00 != xn
    | spl4_16 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl4_16
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f3659,plain,
    ( sz00 = xn
    | ~ aNaturalNumber0(xr)
    | ~ spl4_64 ),
    inference(superposition,[],[f207,f1987]) ).

fof(f1987,plain,
    ( xn = sdtasdt0(xr,sz00)
    | ~ spl4_64 ),
    inference(avatar_component_clause,[],[f1985]) ).

fof(f1985,plain,
    ( spl4_64
  <=> xn = sdtasdt0(xr,sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

fof(f207,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m_MulZero) ).

fof(f3234,plain,
    ( spl4_8
    | ~ spl4_63 ),
    inference(avatar_contradiction_clause,[],[f3233]) ).

fof(f3233,plain,
    ( $false
    | spl4_8
    | ~ spl4_63 ),
    inference(subsumption_resolution,[],[f3194,f286]) ).

fof(f286,plain,
    ( ~ isPrime0(sz00)
    | spl4_8 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl4_8
  <=> isPrime0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f3194,plain,
    ( isPrime0(sz00)
    | ~ spl4_63 ),
    inference(superposition,[],[f162,f1983]) ).

fof(f1983,plain,
    ( sz00 = xr
    | ~ spl4_63 ),
    inference(avatar_component_clause,[],[f1981]) ).

fof(f1981,plain,
    ( spl4_63
  <=> sz00 = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).

fof(f162,plain,
    isPrime0(xr),
    inference(cnf_transformation,[],[f48]) ).

fof(f3179,plain,
    ( spl4_61
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f3178,f368,f1919]) ).

fof(f1919,plain,
    ( spl4_61
  <=> sdtlseqdt0(sdtsldt0(xn,xr),xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

fof(f368,plain,
    ( spl4_9
  <=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f3178,plain,
    ( sdtlseqdt0(sdtsldt0(xn,xr),xp)
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f3160,f369]) ).

fof(f369,plain,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f3160,plain,
    ( sdtlseqdt0(sdtsldt0(xn,xr),xp)
    | ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(resolution,[],[f976,f170]) ).

fof(f170,plain,
    sdtlseqdt0(sdtsldt0(xn,xr),xn),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
    & xn != sdtsldt0(xn,xr) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__2504) ).

fof(f976,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(X0,xn)
      | sdtlseqdt0(X0,xp)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f975,f143]) ).

fof(f143,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__1837) ).

fof(f975,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,xp)
      | ~ sdtlseqdt0(X0,xn)
      | ~ aNaturalNumber0(xn)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f956,f145]) ).

fof(f145,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f956,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,xp)
      | ~ sdtlseqdt0(X0,xn)
      | ~ aNaturalNumber0(xp)
      | ~ aNaturalNumber0(xn)
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f226,f152]) ).

fof(f152,plain,
    sdtlseqdt0(xn,xp),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ( sdtlseqdt0(xm,xp)
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & xn != xp ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__2287) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( ~ sdtlseqdt0(X1,X2)
      | sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',mLETran) ).

fof(f2100,plain,
    ~ spl4_39,
    inference(avatar_contradiction_clause,[],[f2099]) ).

fof(f2099,plain,
    ( $false
    | ~ spl4_39 ),
    inference(subsumption_resolution,[],[f2089,f149]) ).

fof(f149,plain,
    ~ sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__1870) ).

fof(f2089,plain,
    ( sdtlseqdt0(xp,xn)
    | ~ spl4_39 ),
    inference(superposition,[],[f170,f916]) ).

fof(f916,plain,
    ( xp = sdtsldt0(xn,xr)
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f914,plain,
    ( spl4_39
  <=> xp = sdtsldt0(xn,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f1988,plain,
    ( spl4_63
    | spl4_64
    | ~ spl4_1
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f1979,f878,f251,f1985,f1981]) ).

fof(f251,plain,
    ( spl4_1
  <=> doDivides0(xr,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f878,plain,
    ( spl4_37
  <=> sz00 = sdtsldt0(xn,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f1979,plain,
    ( xn = sdtasdt0(xr,sz00)
    | sz00 = xr
    | ~ spl4_1
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f1978,f160]) ).

fof(f1978,plain,
    ( xn = sdtasdt0(xr,sz00)
    | sz00 = xr
    | ~ aNaturalNumber0(xr)
    | ~ spl4_1
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f1977,f143]) ).

fof(f1977,plain,
    ( xn = sdtasdt0(xr,sz00)
    | sz00 = xr
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | ~ spl4_1
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f1975,f253]) ).

fof(f253,plain,
    ( doDivides0(xr,xn)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f1975,plain,
    ( xn = sdtasdt0(xr,sz00)
    | ~ doDivides0(xr,xn)
    | sz00 = xr
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | ~ spl4_37 ),
    inference(superposition,[],[f246,f880]) ).

fof(f880,plain,
    ( sz00 = sdtsldt0(xn,xr)
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f231]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = X1
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( sdtsldt0(X1,X0) = X2
          <=> ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',mDefQuot) ).

fof(f1922,plain,
    ( ~ spl4_61
    | spl4_39
    | ~ spl4_9
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f1917,f874,f368,f914,f1919]) ).

fof(f874,plain,
    ( spl4_36
  <=> sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f1917,plain,
    ( xp = sdtsldt0(xn,xr)
    | ~ sdtlseqdt0(sdtsldt0(xn,xr),xp)
    | ~ spl4_9
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f1916,f369]) ).

fof(f1916,plain,
    ( xp = sdtsldt0(xn,xr)
    | ~ sdtlseqdt0(sdtsldt0(xn,xr),xp)
    | ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f1912,f145]) ).

fof(f1912,plain,
    ( xp = sdtsldt0(xn,xr)
    | ~ sdtlseqdt0(sdtsldt0(xn,xr),xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | ~ spl4_36 ),
    inference(resolution,[],[f876,f227]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',mLEAsym) ).

fof(f876,plain,
    ( sdtlseqdt0(xp,sdtsldt0(xn,xr))
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f881,plain,
    ( spl4_36
    | spl4_37
    | ~ spl4_3
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f872,f368,f261,f878,f874]) ).

fof(f261,plain,
    ( spl4_3
  <=> doDivides0(xp,sdtsldt0(xn,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f872,plain,
    ( sz00 = sdtsldt0(xn,xr)
    | sdtlseqdt0(xp,sdtsldt0(xn,xr))
    | ~ spl4_3
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f846,f369]) ).

fof(f846,plain,
    ( sz00 = sdtsldt0(xn,xr)
    | sdtlseqdt0(xp,sdtsldt0(xn,xr))
    | ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f467,f145]) ).

fof(f467,plain,
    ( sz00 = sdtsldt0(xn,xr)
    | sdtlseqdt0(xp,sdtsldt0(xn,xr))
    | ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3 ),
    inference(resolution,[],[f212,f263]) ).

fof(f263,plain,
    ( doDivides0(xp,sdtsldt0(xn,xr))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ doDivides0(X0,X1)
      | sz00 = X1
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sz00 != X1
          & doDivides0(X0,X1) )
       => sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',mDivLE) ).

fof(f822,plain,
    ( ~ spl4_1
    | spl4_8
    | spl4_9 ),
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f821,plain,
    ( $false
    | ~ spl4_1
    | spl4_8
    | spl4_9 ),
    inference(subsumption_resolution,[],[f809,f286]) ).

fof(f809,plain,
    ( isPrime0(sz00)
    | ~ spl4_1
    | spl4_9 ),
    inference(superposition,[],[f162,f682]) ).

fof(f682,plain,
    ( sz00 = xr
    | ~ spl4_1
    | spl4_9 ),
    inference(subsumption_resolution,[],[f681,f160]) ).

fof(f681,plain,
    ( sz00 = xr
    | ~ aNaturalNumber0(xr)
    | ~ spl4_1
    | spl4_9 ),
    inference(subsumption_resolution,[],[f680,f143]) ).

fof(f680,plain,
    ( sz00 = xr
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | ~ spl4_1
    | spl4_9 ),
    inference(subsumption_resolution,[],[f678,f253]) ).

fof(f678,plain,
    ( ~ doDivides0(xr,xn)
    | sz00 = xr
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | spl4_9 ),
    inference(resolution,[],[f247,f370]) ).

fof(f370,plain,
    ( ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | spl4_9 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtsldt0(X1,X0))
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f230]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f660,plain,
    ( ~ spl4_7
    | ~ spl4_16 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | ~ spl4_7
    | ~ spl4_16 ),
    inference(subsumption_resolution,[],[f656,f145]) ).

fof(f656,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl4_7
    | ~ spl4_16 ),
    inference(resolution,[],[f596,f558]) ).

fof(f558,plain,
    ( ~ doDivides0(xp,sz00)
    | ~ spl4_16 ),
    inference(superposition,[],[f173,f479]) ).

fof(f479,plain,
    ( sz00 = xn
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f173,plain,
    ~ doDivides0(xp,xn),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ~ doDivides0(xp,xm)
    & ~ doDivides0(xp,xn) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,negated_conjecture,
    ~ ( doDivides0(xp,xm)
      | doDivides0(xp,xn) ),
    inference(negated_conjecture,[],[f56]) ).

fof(f56,conjecture,
    ( doDivides0(xp,xm)
    | doDivides0(xp,xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__) ).

fof(f596,plain,
    ( ! [X0] :
        ( doDivides0(X0,sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f593,f281]) ).

fof(f281,plain,
    ( aNaturalNumber0(sz00)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl4_7
  <=> aNaturalNumber0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f593,plain,
    ! [X0] :
      ( doDivides0(X0,sz00)
      | ~ aNaturalNumber0(sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(duplicate_literal_removal,[],[f582]) ).

fof(f582,plain,
    ! [X0] :
      ( doDivides0(X0,sz00)
      | ~ aNaturalNumber0(sz00)
      | ~ aNaturalNumber0(sz00)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f241,f207]) ).

fof(f241,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f198]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtasdt0(X0,sK1(X0,X1)) = X1
            & aNaturalNumber0(sK1(X0,X1)) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f131,f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtasdt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X0,sK1(X0,X1)) = X1
        & aNaturalNumber0(sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtasdt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',mDefDiv) ).

fof(f290,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f233,f280]) ).

fof(f233,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',mSortsC) ).

fof(f287,plain,
    ( ~ spl4_7
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f243,f284,f280]) ).

fof(f243,plain,
    ( ~ isPrime0(sz00)
    | ~ aNaturalNumber0(sz00) ),
    inference(equality_resolution,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( sz00 != X0
      | ~ isPrime0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ( sK3(X0) != X0
            & sz10 != sK3(X0)
            & doDivides0(sK3(X0),X0)
            & aNaturalNumber0(sK3(X0)) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X2] :
                ( X0 = X2
                | sz10 = X2
                | ~ doDivides0(X2,X0)
                | ~ aNaturalNumber0(X2) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f138,f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
     => ( sK3(X0) != X0
        & sz10 != sK3(X0)
        & doDivides0(sK3(X0),X0)
        & aNaturalNumber0(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X2] :
                ( X0 = X2
                | sz10 = X2
                | ~ doDivides0(X2,X0)
                | ~ aNaturalNumber0(X2) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X1] :
                ( X0 = X1
                | sz10 = X1
                | ~ doDivides0(X1,X0)
                | ~ aNaturalNumber0(X1) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 )
        & ( ( ! [X1] :
                ( X0 = X1
                | sz10 = X1
                | ~ doDivides0(X1,X0)
                | ~ aNaturalNumber0(X1) )
            & sz10 != X0
            & sz00 != X0 )
          | ~ isPrime0(X0) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( isPrime0(X0)
      <=> ( ! [X1] :
              ( ( doDivides0(X1,X0)
                & aNaturalNumber0(X1) )
             => ( X0 = X1
                | sz10 = X1 ) )
          & sz10 != X0
          & sz00 != X0 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',mDefPrime) ).

fof(f269,plain,
    ~ spl4_4,
    inference(avatar_split_clause,[],[f174,f265]) ).

fof(f265,plain,
    ( spl4_4
  <=> doDivides0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f174,plain,
    ~ doDivides0(xp,xm),
    inference(cnf_transformation,[],[f63]) ).

fof(f268,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f172,f265,f261]) ).

fof(f172,plain,
    ( doDivides0(xp,xm)
    | doDivides0(xp,sdtsldt0(xn,xr)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    ( doDivides0(xp,xm)
    | doDivides0(xp,sdtsldt0(xn,xr)) ),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__2645) ).

fof(f259,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f168,f251]) ).

fof(f168,plain,
    doDivides0(xr,xn),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    doDivides0(xr,xn),
    file('/export/starexec/sandbox2/tmp/tmp.W6vRUPQzhv/Vampire---4.8_28505',m__2487) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : NUM518+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12  % 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
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % 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 16:58:18 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_CAX_RFO_SEQ problem
% 0.11/0.33  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.W6vRUPQzhv/Vampire---4.8_28505
% 0.60/0.81  % (28622)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  % (28624)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  % (28623)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  % (28621)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)
% 0.60/0.81  % (28626)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  % (28620)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  % (28627)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  % (28625)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)
% 0.60/0.82  % (28623)Instruction limit reached!
% 0.60/0.82  % (28623)------------------------------
% 0.60/0.82  % (28623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (28623)Termination reason: Unknown
% 0.60/0.82  % (28623)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (28623)Memory used [KB]: 1541
% 0.60/0.82  % (28623)Time elapsed: 0.019 s
% 0.60/0.82  % (28623)Instructions burned: 33 (million)
% 0.60/0.82  % (28623)------------------------------
% 0.60/0.82  % (28623)------------------------------
% 0.60/0.82  % (28624)Instruction limit reached!
% 0.60/0.82  % (28624)------------------------------
% 0.60/0.82  % (28624)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (28624)Termination reason: Unknown
% 0.60/0.82  % (28624)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (28624)Memory used [KB]: 1559
% 0.60/0.82  % (28624)Time elapsed: 0.020 s
% 0.60/0.82  % (28624)Instructions burned: 35 (million)
% 0.60/0.82  % (28624)------------------------------
% 0.60/0.82  % (28624)------------------------------
% 0.60/0.83  % (28620)Instruction limit reached!
% 0.60/0.83  % (28620)------------------------------
% 0.60/0.83  % (28620)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (28620)Termination reason: Unknown
% 0.60/0.83  % (28620)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (28620)Memory used [KB]: 1366
% 0.60/0.83  % (28620)Time elapsed: 0.020 s
% 0.60/0.83  % (28620)Instructions burned: 34 (million)
% 0.60/0.83  % (28620)------------------------------
% 0.60/0.83  % (28620)------------------------------
% 0.60/0.83  % (28629)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)
% 0.60/0.83  % (28630)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  % (28631)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  % (28625)Instruction limit reached!
% 0.60/0.83  % (28625)------------------------------
% 0.60/0.83  % (28625)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (28625)Termination reason: Unknown
% 0.60/0.83  % (28625)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (28625)Memory used [KB]: 1684
% 0.60/0.83  % (28625)Time elapsed: 0.025 s
% 0.60/0.83  % (28625)Instructions burned: 46 (million)
% 0.60/0.83  % (28625)------------------------------
% 0.60/0.83  % (28625)------------------------------
% 0.60/0.83  % (28627)Instruction limit reached!
% 0.60/0.83  % (28627)------------------------------
% 0.60/0.83  % (28627)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (28627)Termination reason: Unknown
% 0.60/0.83  % (28627)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (28627)Memory used [KB]: 1424
% 0.60/0.83  % (28627)Time elapsed: 0.028 s
% 0.60/0.83  % (28627)Instructions burned: 58 (million)
% 0.60/0.83  % (28627)------------------------------
% 0.60/0.83  % (28627)------------------------------
% 0.60/0.83  % (28632)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)
% 0.75/0.84  % (28633)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 (2994ds/518Mi)
% 0.75/0.84  % (28626)Instruction limit reached!
% 0.75/0.84  % (28626)------------------------------
% 0.75/0.84  % (28626)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.84  % (28626)Termination reason: Unknown
% 0.75/0.84  % (28626)Termination phase: Saturation
% 0.75/0.84  
% 0.75/0.84  % (28626)Memory used [KB]: 1880
% 0.75/0.84  % (28626)Time elapsed: 0.038 s
% 0.75/0.84  % (28626)Instructions burned: 83 (million)
% 0.75/0.84  % (28626)------------------------------
% 0.75/0.84  % (28626)------------------------------
% 0.75/0.85  % (28634)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 (2994ds/42Mi)
% 0.75/0.85  % (28622)Instruction limit reached!
% 0.75/0.85  % (28622)------------------------------
% 0.75/0.85  % (28622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.85  % (28622)Termination reason: Unknown
% 0.75/0.85  % (28622)Termination phase: Saturation
% 0.75/0.85  
% 0.75/0.85  % (28622)Memory used [KB]: 1768
% 0.75/0.85  % (28622)Time elapsed: 0.044 s
% 0.75/0.85  % (28622)Instructions burned: 79 (million)
% 0.75/0.85  % (28622)------------------------------
% 0.75/0.85  % (28622)------------------------------
% 0.75/0.85  % (28621)Instruction limit reached!
% 0.75/0.85  % (28621)------------------------------
% 0.75/0.85  % (28621)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.85  % (28621)Termination reason: Unknown
% 0.75/0.85  % (28621)Termination phase: Saturation
% 0.75/0.85  
% 0.75/0.85  % (28621)Memory used [KB]: 1882
% 0.75/0.85  % (28621)Time elapsed: 0.033 s
% 0.75/0.85  % (28621)Instructions burned: 51 (million)
% 0.75/0.85  % (28621)------------------------------
% 0.75/0.85  % (28621)------------------------------
% 0.75/0.85  % (28630)Instruction limit reached!
% 0.75/0.85  % (28630)------------------------------
% 0.75/0.85  % (28630)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.85  % (28630)Termination reason: Unknown
% 0.75/0.85  % (28630)Termination phase: Saturation
% 0.75/0.85  
% 0.75/0.85  % (28630)Memory used [KB]: 1550
% 0.75/0.85  % (28630)Time elapsed: 0.025 s
% 0.75/0.85  % (28630)Instructions burned: 50 (million)
% 0.75/0.85  % (28630)------------------------------
% 0.75/0.85  % (28630)------------------------------
% 0.75/0.85  % (28635)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)
% 0.75/0.85  % (28636)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)
% 0.75/0.85  % (28637)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)
% 0.75/0.85  % (28629)Instruction limit reached!
% 0.75/0.85  % (28629)------------------------------
% 0.75/0.85  % (28629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.85  % (28629)Termination reason: Unknown
% 0.75/0.85  % (28629)Termination phase: Saturation
% 0.75/0.85  
% 0.75/0.85  % (28629)Memory used [KB]: 1955
% 0.75/0.85  % (28629)Time elapsed: 0.030 s
% 0.75/0.85  % (28629)Instructions burned: 56 (million)
% 0.75/0.85  % (28629)------------------------------
% 0.75/0.85  % (28629)------------------------------
% 0.75/0.86  % (28638)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)
% 0.75/0.86  % (28632)Instruction limit reached!
% 0.75/0.86  % (28632)------------------------------
% 0.75/0.86  % (28632)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.86  % (28632)Termination reason: Unknown
% 0.75/0.86  % (28632)Termination phase: Saturation
% 0.75/0.86  
% 0.75/0.86  % (28632)Memory used [KB]: 1621
% 0.75/0.86  % (28632)Time elapsed: 0.030 s
% 0.75/0.86  % (28632)Instructions burned: 53 (million)
% 0.75/0.86  % (28632)------------------------------
% 0.75/0.86  % (28632)------------------------------
% 0.75/0.87  % (28634)Instruction limit reached!
% 0.75/0.87  % (28634)------------------------------
% 0.75/0.87  % (28634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.87  % (28634)Termination reason: Unknown
% 0.75/0.87  % (28634)Termination phase: Saturation
% 0.75/0.87  
% 0.75/0.87  % (28634)Memory used [KB]: 1368
% 0.75/0.87  % (28634)Time elapsed: 0.022 s
% 0.75/0.87  % (28634)Instructions burned: 43 (million)
% 0.75/0.87  % (28634)------------------------------
% 0.75/0.87  % (28634)------------------------------
% 0.75/0.87  % (28639)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)
% 0.98/0.87  % (28640)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)
% 0.98/0.89  % (28640)Instruction limit reached!
% 0.98/0.89  % (28640)------------------------------
% 0.98/0.89  % (28640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.89  % (28640)Termination reason: Unknown
% 0.98/0.89  % (28640)Termination phase: Saturation
% 0.98/0.89  
% 0.98/0.89  % (28640)Memory used [KB]: 1557
% 0.98/0.89  % (28640)Time elapsed: 0.019 s
% 0.98/0.89  % (28640)Instructions burned: 32 (million)
% 0.98/0.89  % (28640)------------------------------
% 0.98/0.89  % (28640)------------------------------
% 0.98/0.89  % (28641)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)
% 0.98/0.90  % (28639)Instruction limit reached!
% 0.98/0.90  % (28639)------------------------------
% 0.98/0.90  % (28639)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.90  % (28639)Termination reason: Unknown
% 0.98/0.90  % (28639)Termination phase: Saturation
% 0.98/0.90  
% 0.98/0.90  % (28639)Memory used [KB]: 2087
% 0.98/0.90  % (28639)Time elapsed: 0.031 s
% 0.98/0.90  % (28639)Instructions burned: 62 (million)
% 0.98/0.90  % (28639)------------------------------
% 0.98/0.90  % (28639)------------------------------
% 0.98/0.90  % (28638)Instruction limit reached!
% 0.98/0.90  % (28638)------------------------------
% 0.98/0.90  % (28638)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.90  % (28638)Termination reason: Unknown
% 0.98/0.90  % (28638)Termination phase: Saturation
% 0.98/0.90  
% 0.98/0.90  % (28638)Memory used [KB]: 1526
% 0.98/0.90  % (28638)Time elapsed: 0.041 s
% 0.98/0.90  % (28638)Instructions burned: 95 (million)
% 0.98/0.90  % (28638)------------------------------
% 0.98/0.90  % (28638)------------------------------
% 0.98/0.90  % (28642)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)
% 0.98/0.90  % (28643)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)
% 0.98/0.90  % (28637)Instruction limit reached!
% 0.98/0.90  % (28637)------------------------------
% 0.98/0.90  % (28637)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.90  % (28637)Termination reason: Unknown
% 0.98/0.90  % (28637)Termination phase: Saturation
% 0.98/0.90  
% 0.98/0.90  % (28637)Memory used [KB]: 1595
% 0.98/0.90  % (28637)Time elapsed: 0.053 s
% 0.98/0.90  % (28637)Instructions burned: 144 (million)
% 0.98/0.91  % (28637)------------------------------
% 0.98/0.91  % (28637)------------------------------
% 0.98/0.91  % (28644)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)
% 0.98/0.91  % (28631)First to succeed.
% 0.98/0.91  % (28636)Instruction limit reached!
% 0.98/0.91  % (28636)------------------------------
% 0.98/0.91  % (28636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.91  % (28636)Termination reason: Unknown
% 0.98/0.91  % (28636)Termination phase: Saturation
% 0.98/0.91  
% 0.98/0.91  % (28636)Memory used [KB]: 2185
% 0.98/0.91  % (28636)Time elapsed: 0.061 s
% 0.98/0.91  % (28636)Instructions burned: 117 (million)
% 0.98/0.91  % (28636)------------------------------
% 0.98/0.91  % (28636)------------------------------
% 0.98/0.91  % (28631)Refutation found. Thanks to Tanya!
% 0.98/0.91  % SZS status Theorem for Vampire---4
% 0.98/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.98/0.91  % (28631)------------------------------
% 0.98/0.91  % (28631)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.98/0.91  % (28631)Termination reason: Refutation
% 0.98/0.91  
% 0.98/0.91  % (28631)Memory used [KB]: 2196
% 0.98/0.91  % (28631)Time elapsed: 0.084 s
% 0.98/0.91  % (28631)Instructions burned: 171 (million)
% 0.98/0.91  % (28631)------------------------------
% 0.98/0.91  % (28631)------------------------------
% 0.98/0.91  % (28616)Success in time 0.572 s
% 0.98/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------