TSTP Solution File: NUM498+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM498+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/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 : Wed May  1 03:31:37 EDT 2024

% Result   : Theorem 1.21s 0.93s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  232 (  20 unt;   0 def)
%            Number of atoms       :  891 ( 220 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives : 1158 ( 499   ~; 510   |;  97   &)
%                                         (  28 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  17 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :  176 ( 160   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3578,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f250,f253,f254,f403,f408,f755,f1050,f1236,f1247,f1303,f1892,f2620,f2797,f3282,f3363,f3577]) ).

fof(f3577,plain,
    ( ~ spl4_3
    | ~ spl4_24
    | ~ spl4_50 ),
    inference(avatar_contradiction_clause,[],[f3576]) ).

fof(f3576,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_24
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f3575,f235]) ).

fof(f235,plain,
    ( aNaturalNumber0(sz10)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl4_3
  <=> aNaturalNumber0(sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f3575,plain,
    ( ~ aNaturalNumber0(sz10)
    | ~ spl4_24
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f3559,f3372]) ).

fof(f3372,plain,
    ( ~ doDivides0(xp,sz10)
    | ~ spl4_50 ),
    inference(superposition,[],[f148,f3311]) ).

fof(f3311,plain,
    ( sz10 = xm
    | ~ spl4_50 ),
    inference(avatar_component_clause,[],[f3309]) ).

fof(f3309,plain,
    ( spl4_50
  <=> sz10 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).

fof(f148,plain,
    ~ doDivides0(xp,xm),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ~ doDivides0(xp,xm)
    & ~ doDivides0(xp,xn)
    & ( sz10 = xk
      | sz00 = xk ) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ( ~ doDivides0(xp,xm)
    & ~ doDivides0(xp,xn)
    & ( sz10 = xk
      | sz00 = xk ) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ( ( sz10 = xk
        | sz00 = xk )
     => ( doDivides0(xp,xm)
        | doDivides0(xp,xn) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ( ( sz10 = xk
      | sz00 = xk )
   => ( doDivides0(xp,xm)
      | doDivides0(xp,xn) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m__) ).

fof(f3559,plain,
    ( doDivides0(xp,sz10)
    | ~ aNaturalNumber0(sz10)
    | ~ spl4_24
    | ~ spl4_50 ),
    inference(superposition,[],[f3386,f210]) ).

fof(f210,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m_MulUnit) ).

fof(f3386,plain,
    ( doDivides0(xp,sdtasdt0(sz10,sz10))
    | ~ spl4_24
    | ~ spl4_50 ),
    inference(forward_demodulation,[],[f3368,f863]) ).

fof(f863,plain,
    ( sz10 = xn
    | ~ spl4_24 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f861,plain,
    ( spl4_24
  <=> sz10 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f3368,plain,
    ( doDivides0(xp,sdtasdt0(xn,sz10))
    | ~ spl4_50 ),
    inference(superposition,[],[f138,f3311]) ).

fof(f138,plain,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & isPrime0(xp) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m__1860) ).

fof(f3363,plain,
    ( spl4_50
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f3362,f1233,f234,f3309]) ).

fof(f1233,plain,
    ( spl4_28
  <=> sdtasdt0(xn,xm) = sdtasdt0(xp,sz10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f3362,plain,
    ( sz10 = xm
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f3361,f135]) ).

fof(f135,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m__1837) ).

fof(f3361,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f3360,f137]) ).

fof(f137,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f41]) ).

fof(f3360,plain,
    ( sz10 = xm
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f3359,f134]) ).

fof(f134,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f3359,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xm)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f3356,f143]) ).

fof(f143,plain,
    xm != xp,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ( sdtlseqdt0(xm,xp)
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & xn != xp ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m__2287) ).

fof(f3356,plain,
    ( sz10 = xm
    | xm = xp
    | ~ aNaturalNumber0(xm)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(resolution,[],[f3353,f193]) ).

fof(f193,plain,
    ! [X2,X0] :
      ( ~ doDivides0(X2,X0)
      | sz10 = X2
      | X0 = X2
      | ~ aNaturalNumber0(X2)
      | ~ isPrime0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,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])],[f128,f129]) ).

fof(f129,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(f128,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,[],[f127]) ).

fof(f127,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,[],[f126]) ).

fof(f126,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,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,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/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mDefPrime) ).

fof(f3353,plain,
    ( doDivides0(xm,xp)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f3349,f135]) ).

fof(f3349,plain,
    ( doDivides0(xm,xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(superposition,[],[f2998,f211]) ).

fof(f211,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f2998,plain,
    ( doDivides0(xm,sdtasdt0(sz10,xp))
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f2997,f134]) ).

fof(f2997,plain,
    ( doDivides0(xm,sdtasdt0(sz10,xp))
    | ~ aNaturalNumber0(xm)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f2936,f133]) ).

fof(f133,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f2936,plain,
    ( doDivides0(xm,sdtasdt0(sz10,xp))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(superposition,[],[f493,f2673]) ).

fof(f2673,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz10,xp)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f2672,f235]) ).

fof(f2672,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz10,xp)
    | ~ aNaturalNumber0(sz10)
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f2638,f135]) ).

fof(f2638,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz10,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz10)
    | ~ spl4_28 ),
    inference(superposition,[],[f1235,f184]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mMulComm) ).

fof(f1235,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( doDivides0(X0,sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f486,f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mSortsB_02) ).

fof(f486,plain,
    ! [X0,X1] :
      ( doDivides0(X0,sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X0) ),
    inference(duplicate_literal_removal,[],[f478]) ).

fof(f478,plain,
    ! [X0,X1] :
      ( doDivides0(X0,sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(superposition,[],[f215,f184]) ).

fof(f215,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f172]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,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])],[f121,f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtasdt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X0,sK1(X0,X1)) = X1
        & aNaturalNumber0(sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,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,[],[f120]) ).

fof(f120,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,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,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/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mDefDiv) ).

fof(f3282,plain,
    ( spl4_24
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f3281,f2764,f1233,f234,f861]) ).

fof(f2764,plain,
    ( spl4_40
  <=> aNaturalNumber0(sdtasdt0(sz10,xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f3281,plain,
    ( sz10 = xn
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f3280,f135]) ).

fof(f3280,plain,
    ( sz10 = xn
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f3279,f137]) ).

fof(f3279,plain,
    ( sz10 = xn
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f3278,f133]) ).

fof(f3278,plain,
    ( sz10 = xn
    | ~ aNaturalNumber0(xn)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f3275,f141]) ).

fof(f141,plain,
    xn != xp,
    inference(cnf_transformation,[],[f44]) ).

fof(f3275,plain,
    ( sz10 = xn
    | xn = xp
    | ~ aNaturalNumber0(xn)
    | ~ isPrime0(xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(resolution,[],[f3274,f193]) ).

fof(f3274,plain,
    ( doDivides0(xn,xp)
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f3270,f135]) ).

fof(f3270,plain,
    ( doDivides0(xn,xp)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(superposition,[],[f2990,f211]) ).

fof(f2990,plain,
    ( doDivides0(xn,sdtasdt0(sz10,xp))
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f2989,f133]) ).

fof(f2989,plain,
    ( doDivides0(xn,sdtasdt0(sz10,xp))
    | ~ aNaturalNumber0(xn)
    | ~ spl4_3
    | ~ spl4_28
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f2988,f2765]) ).

fof(f2765,plain,
    ( aNaturalNumber0(sdtasdt0(sz10,xp))
    | ~ spl4_40 ),
    inference(avatar_component_clause,[],[f2764]) ).

fof(f2988,plain,
    ( doDivides0(xn,sdtasdt0(sz10,xp))
    | ~ aNaturalNumber0(sdtasdt0(sz10,xp))
    | ~ aNaturalNumber0(xn)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f2933,f134]) ).

fof(f2933,plain,
    ( doDivides0(xn,sdtasdt0(sz10,xp))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtasdt0(sz10,xp))
    | ~ aNaturalNumber0(xn)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(superposition,[],[f215,f2673]) ).

fof(f2797,plain,
    spl4_40,
    inference(avatar_contradiction_clause,[],[f2796]) ).

fof(f2796,plain,
    ( $false
    | spl4_40 ),
    inference(subsumption_resolution,[],[f2792,f135]) ).

fof(f2792,plain,
    ( ~ aNaturalNumber0(xp)
    | spl4_40 ),
    inference(duplicate_literal_removal,[],[f2791]) ).

fof(f2791,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xp)
    | spl4_40 ),
    inference(superposition,[],[f2766,f211]) ).

fof(f2766,plain,
    ( ~ aNaturalNumber0(sdtasdt0(sz10,xp))
    | spl4_40 ),
    inference(avatar_component_clause,[],[f2764]) ).

fof(f2620,plain,
    ( ~ spl4_9
    | ~ spl4_16 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | ~ spl4_9
    | ~ spl4_16 ),
    inference(subsumption_resolution,[],[f2608,f2616]) ).

fof(f2616,plain,
    ( doDivides0(xp,sz00)
    | ~ spl4_9
    | ~ spl4_16 ),
    inference(forward_demodulation,[],[f2604,f2285]) ).

fof(f2285,plain,
    ( sz00 = sdtasdt0(xn,sz00)
    | ~ spl4_9
    | ~ spl4_16 ),
    inference(forward_demodulation,[],[f402,f747]) ).

fof(f747,plain,
    ( sz00 = xm
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl4_16
  <=> sz00 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f402,plain,
    ( sz00 = sdtasdt0(xn,xm)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f400,plain,
    ( spl4_9
  <=> sz00 = sdtasdt0(xn,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f2604,plain,
    ( doDivides0(xp,sdtasdt0(xn,sz00))
    | ~ spl4_16 ),
    inference(superposition,[],[f138,f747]) ).

fof(f2608,plain,
    ( ~ doDivides0(xp,sz00)
    | ~ spl4_16 ),
    inference(superposition,[],[f148,f747]) ).

fof(f1892,plain,
    ( ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | spl4_27
    | ~ spl4_29 ),
    inference(avatar_contradiction_clause,[],[f1891]) ).

fof(f1891,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | spl4_27
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1890,f244]) ).

fof(f244,plain,
    ( aNaturalNumber0(sz00)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl4_5
  <=> aNaturalNumber0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f1890,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | spl4_27
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1889,f135]) ).

fof(f1889,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz00)
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | spl4_27
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1888,f866]) ).

fof(f866,plain,
    ( sdtlseqdt0(sz00,xp)
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f865,f133]) ).

fof(f865,plain,
    ( sdtlseqdt0(sz00,xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f847,f244]) ).

fof(f847,plain,
    ( sdtlseqdt0(sz00,xp)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xn)
    | ~ spl4_5 ),
    inference(resolution,[],[f841,f466]) ).

fof(f466,plain,
    ( ! [X0] :
        ( sdtlseqdt0(sz00,X0)
        | ~ aNaturalNumber0(X0) )
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f457,f244]) ).

fof(f457,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sz00) ),
    inference(duplicate_literal_removal,[],[f456]) ).

fof(f456,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f214,f165]) ).

fof(f165,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m_AddZero) ).

fof(f214,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f157]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
            & aNaturalNumber0(sK0(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f117,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK0(X0,X1)) = X1
        & aNaturalNumber0(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtpldt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mDefLE) ).

fof(f841,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(X0,xn)
      | sdtlseqdt0(X0,xp)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f840,f133]) ).

fof(f840,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,xp)
      | ~ sdtlseqdt0(X0,xn)
      | ~ aNaturalNumber0(xn)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f820,f135]) ).

fof(f820,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,xp)
      | ~ sdtlseqdt0(X0,xn)
      | ~ aNaturalNumber0(xp)
      | ~ aNaturalNumber0(xn)
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f200,f142]) ).

fof(f142,plain,
    sdtlseqdt0(xn,xp),
    inference(cnf_transformation,[],[f44]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( ~ sdtlseqdt0(X1,X2)
      | sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,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/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mLETran) ).

fof(f1888,plain,
    ( ~ sdtlseqdt0(sz00,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz00)
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | spl4_27
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1881,f1230]) ).

fof(f1230,plain,
    ( sz00 != xp
    | spl4_27 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f1229,plain,
    ( spl4_27
  <=> sz00 = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f1881,plain,
    ( sz00 = xp
    | ~ sdtlseqdt0(sz00,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz00)
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | ~ spl4_29 ),
    inference(resolution,[],[f1878,f201]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,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/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mLEAsym) ).

fof(f1878,plain,
    ( sdtlseqdt0(xp,sz00)
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1875,f135]) ).

fof(f1875,plain,
    ( sdtlseqdt0(xp,sz00)
    | ~ aNaturalNumber0(xp)
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | ~ spl4_29 ),
    inference(superposition,[],[f1763,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,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/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m_MulZero) ).

fof(f1763,plain,
    ( sdtlseqdt0(xp,sdtasdt0(sz00,xp))
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_8
    | ~ spl4_29 ),
    inference(superposition,[],[f398,f1369]) ).

fof(f1369,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz00,xp)
    | ~ spl4_1
    | ~ spl4_5
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1368,f244]) ).

fof(f1368,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz00,xp)
    | ~ aNaturalNumber0(sz00)
    | ~ spl4_1
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1351,f135]) ).

fof(f1351,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sz00,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sz00)
    | ~ spl4_1
    | ~ spl4_29 ),
    inference(superposition,[],[f1309,f184]) ).

fof(f1309,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,sz00)
    | ~ spl4_1
    | ~ spl4_29 ),
    inference(forward_demodulation,[],[f1246,f227]) ).

fof(f227,plain,
    ( sz00 = xk
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl4_1
  <=> sz00 = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f1246,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f1244,plain,
    ( spl4_29
  <=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f398,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f396,plain,
    ( spl4_8
  <=> sdtlseqdt0(xp,sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1303,plain,
    ( spl4_6
    | ~ spl4_27 ),
    inference(avatar_contradiction_clause,[],[f1302]) ).

fof(f1302,plain,
    ( $false
    | spl4_6
    | ~ spl4_27 ),
    inference(subsumption_resolution,[],[f1281,f249]) ).

fof(f249,plain,
    ( ~ isPrime0(sz00)
    | spl4_6 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl4_6
  <=> isPrime0(sz00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f1281,plain,
    ( isPrime0(sz00)
    | ~ spl4_27 ),
    inference(superposition,[],[f137,f1231]) ).

fof(f1231,plain,
    ( sz00 = xp
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f1247,plain,
    ( spl4_27
    | spl4_29
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f1226,f392,f1244,f1229]) ).

fof(f392,plain,
    ( spl4_7
  <=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f1226,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | sz00 = xp
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1225,f135]) ).

fof(f1225,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | sz00 = xp
    | ~ aNaturalNumber0(xp)
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1224,f393]) ).

fof(f393,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1224,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f1199,f138]) ).

fof(f1199,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[],[f220,f145]) ).

fof(f145,plain,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',m__2306) ).

fof(f220,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f205]) ).

fof(f205,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = X1
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,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,[],[f131]) ).

fof(f131,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,[],[f112]) ).

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

fof(f111,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/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mDefQuot) ).

fof(f1236,plain,
    ( spl4_27
    | spl4_28
    | ~ spl4_2
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f1227,f392,f229,f1233,f1229]) ).

fof(f229,plain,
    ( spl4_2
  <=> sz10 = xk ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f1227,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(xp,sz10)
    | sz00 = xp
    | ~ spl4_2
    | ~ spl4_7 ),
    inference(forward_demodulation,[],[f1226,f231]) ).

fof(f231,plain,
    ( sz10 = xk
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f1050,plain,
    ( ~ spl4_5
    | ~ spl4_12 ),
    inference(avatar_contradiction_clause,[],[f1049]) ).

fof(f1049,plain,
    ( $false
    | ~ spl4_5
    | ~ spl4_12 ),
    inference(subsumption_resolution,[],[f1048,f135]) ).

fof(f1048,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl4_5
    | ~ spl4_12 ),
    inference(resolution,[],[f995,f491]) ).

fof(f491,plain,
    ( ! [X0] :
        ( doDivides0(X0,sz00)
        | ~ aNaturalNumber0(X0) )
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f488,f244]) ).

fof(f488,plain,
    ! [X0] :
      ( doDivides0(X0,sz00)
      | ~ aNaturalNumber0(sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(duplicate_literal_removal,[],[f476]) ).

fof(f476,plain,
    ! [X0] :
      ( doDivides0(X0,sz00)
      | ~ aNaturalNumber0(sz00)
      | ~ aNaturalNumber0(sz00)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f215,f181]) ).

fof(f181,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f995,plain,
    ( ~ doDivides0(xp,sz00)
    | ~ spl4_12 ),
    inference(superposition,[],[f147,f659]) ).

fof(f659,plain,
    ( sz00 = xn
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f657,plain,
    ( spl4_12
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f147,plain,
    ~ doDivides0(xp,xn),
    inference(cnf_transformation,[],[f53]) ).

fof(f755,plain,
    ( spl4_16
    | spl4_12
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f754,f400,f657,f745]) ).

fof(f754,plain,
    ( sz00 = xn
    | sz00 = xm
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f753,f133]) ).

fof(f753,plain,
    ( sz00 = xn
    | sz00 = xm
    | ~ aNaturalNumber0(xn)
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f740,f134]) ).

fof(f740,plain,
    ( sz00 = xn
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl4_9 ),
    inference(trivial_inequality_removal,[],[f733]) ).

fof(f733,plain,
    ( sz00 != sz00
    | sz00 = xn
    | sz00 = xm
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | ~ spl4_9 ),
    inference(superposition,[],[f178,f402]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( sz00 != sdtasdt0(X0,X1)
      | sz00 = X0
      | sz00 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( sz00 = X1
      | sz00 = X0
      | sz00 != sdtasdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtasdt0(X0,X1)
       => ( sz00 = X1
          | sz00 = X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mZeroMul) ).

fof(f408,plain,
    spl4_7,
    inference(avatar_contradiction_clause,[],[f407]) ).

fof(f407,plain,
    ( $false
    | spl4_7 ),
    inference(subsumption_resolution,[],[f406,f133]) ).

fof(f406,plain,
    ( ~ aNaturalNumber0(xn)
    | spl4_7 ),
    inference(subsumption_resolution,[],[f405,f134]) ).

fof(f405,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl4_7 ),
    inference(resolution,[],[f394,f185]) ).

fof(f394,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | spl4_7 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f403,plain,
    ( ~ spl4_7
    | spl4_8
    | spl4_9 ),
    inference(avatar_split_clause,[],[f390,f400,f396,f392]) ).

fof(f390,plain,
    ( sz00 = sdtasdt0(xn,xm)
    | sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(subsumption_resolution,[],[f387,f135]) ).

fof(f387,plain,
    ( sz00 = sdtasdt0(xn,xm)
    | sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp) ),
    inference(resolution,[],[f186,f138]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ doDivides0(X0,X1)
      | sz00 = X1
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,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/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mDivLE) ).

fof(f254,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f212,f234]) ).

fof(f212,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mSortsC_01) ).

fof(f253,plain,
    spl4_5,
    inference(avatar_split_clause,[],[f207,f243]) ).

fof(f207,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.cXCyuiaEHh/Vampire---4.8_8102',mSortsC) ).

fof(f250,plain,
    ( ~ spl4_5
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f217,f247,f243]) ).

fof(f217,plain,
    ( ~ isPrime0(sz00)
    | ~ aNaturalNumber0(sz00) ),
    inference(equality_resolution,[],[f191]) ).

fof(f191,plain,
    ! [X0] :
      ( sz00 != X0
      | ~ isPrime0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f232,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f146,f229,f225]) ).

fof(f146,plain,
    ( sz10 = xk
    | sz00 = xk ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM498+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % 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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 17:01:55 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  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.cXCyuiaEHh/Vampire---4.8_8102
% 0.63/0.82  % (8215)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.82  % (8218)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)
% 0.63/0.82  % (8219)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)
% 0.63/0.82  % (8213)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)
% 0.63/0.82  % (8216)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)
% 0.63/0.82  % (8217)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)
% 0.63/0.82  % (8220)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)
% 0.63/0.82  % (8214)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)
% 0.63/0.84  % (8213)Instruction limit reached!
% 0.63/0.84  % (8213)------------------------------
% 0.63/0.84  % (8213)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.84  % (8213)Termination reason: Unknown
% 0.63/0.84  % (8213)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (8213)Memory used [KB]: 1333
% 0.63/0.84  % (8213)Time elapsed: 0.018 s
% 0.63/0.84  % (8213)Instructions burned: 34 (million)
% 0.63/0.84  % (8213)------------------------------
% 0.63/0.84  % (8213)------------------------------
% 0.63/0.84  % (8217)Instruction limit reached!
% 0.63/0.84  % (8217)------------------------------
% 0.63/0.84  % (8217)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.84  % (8217)Termination reason: Unknown
% 0.63/0.84  % (8217)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (8217)Memory used [KB]: 1530
% 0.63/0.84  % (8217)Time elapsed: 0.019 s
% 0.63/0.84  % (8217)Instructions burned: 35 (million)
% 0.63/0.84  % (8217)------------------------------
% 0.63/0.84  % (8217)------------------------------
% 0.63/0.84  % (8216)Instruction limit reached!
% 0.63/0.84  % (8216)------------------------------
% 0.63/0.84  % (8216)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.84  % (8216)Termination reason: Unknown
% 0.63/0.84  % (8216)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (8216)Memory used [KB]: 1521
% 0.63/0.84  % (8216)Time elapsed: 0.021 s
% 0.63/0.84  % (8216)Instructions burned: 34 (million)
% 0.63/0.84  % (8216)------------------------------
% 0.63/0.84  % (8216)------------------------------
% 0.63/0.84  % (8221)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)
% 0.63/0.84  % (8222)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)
% 0.63/0.84  % (8218)Instruction limit reached!
% 0.63/0.84  % (8218)------------------------------
% 0.63/0.84  % (8218)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.84  % (8218)Termination reason: Unknown
% 0.63/0.84  % (8218)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (8218)Memory used [KB]: 1549
% 0.63/0.84  % (8218)Time elapsed: 0.025 s
% 0.63/0.84  % (8218)Instructions burned: 45 (million)
% 0.63/0.84  % (8218)------------------------------
% 0.63/0.84  % (8218)------------------------------
% 0.63/0.84  % (8223)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)
% 0.63/0.85  % (8220)Instruction limit reached!
% 0.63/0.85  % (8220)------------------------------
% 0.63/0.85  % (8220)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.85  % (8220)Termination reason: Unknown
% 0.63/0.85  % (8220)Termination phase: Saturation
% 0.63/0.85  
% 0.63/0.85  % (8220)Memory used [KB]: 1383
% 0.63/0.85  % (8220)Time elapsed: 0.027 s
% 0.63/0.85  % (8220)Instructions burned: 57 (million)
% 0.63/0.85  % (8220)------------------------------
% 0.63/0.85  % (8220)------------------------------
% 0.63/0.85  % (8224)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)
% 0.63/0.85  % (8225)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)
% 0.63/0.85  % (8214)Instruction limit reached!
% 0.63/0.85  % (8214)------------------------------
% 0.63/0.85  % (8214)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.85  % (8214)Termination reason: Unknown
% 0.63/0.85  % (8214)Termination phase: Saturation
% 0.63/0.85  
% 0.63/0.85  % (8214)Memory used [KB]: 2031
% 0.63/0.85  % (8214)Time elapsed: 0.032 s
% 0.63/0.85  % (8214)Instructions burned: 51 (million)
% 0.63/0.85  % (8214)------------------------------
% 0.63/0.85  % (8214)------------------------------
% 0.63/0.86  % (8226)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)
% 0.63/0.86  % (8219)Instruction limit reached!
% 0.63/0.86  % (8219)------------------------------
% 0.63/0.86  % (8219)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.86  % (8219)Termination reason: Unknown
% 0.63/0.86  % (8219)Termination phase: Saturation
% 0.63/0.86  
% 0.63/0.86  % (8219)Memory used [KB]: 1879
% 0.63/0.86  % (8219)Time elapsed: 0.038 s
% 0.63/0.86  % (8219)Instructions burned: 84 (million)
% 0.63/0.86  % (8219)------------------------------
% 0.63/0.86  % (8219)------------------------------
% 0.84/0.86  % (8227)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)
% 0.84/0.87  % (8222)Instruction limit reached!
% 0.84/0.87  % (8222)------------------------------
% 0.84/0.87  % (8222)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.84/0.87  % (8222)Termination reason: Unknown
% 0.84/0.87  % (8222)Termination phase: Saturation
% 0.84/0.87  
% 0.84/0.87  % (8222)Memory used [KB]: 1527
% 0.84/0.87  % (8222)Time elapsed: 0.025 s
% 0.84/0.87  % (8222)Instructions burned: 50 (million)
% 0.84/0.87  % (8222)------------------------------
% 0.84/0.87  % (8222)------------------------------
% 0.87/0.87  % (8228)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)
% 0.87/0.87  % (8221)Instruction limit reached!
% 0.87/0.87  % (8221)------------------------------
% 0.87/0.87  % (8221)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.87  % (8221)Termination reason: Unknown
% 0.87/0.87  % (8221)Termination phase: Saturation
% 0.87/0.87  
% 0.87/0.87  % (8221)Memory used [KB]: 1990
% 0.87/0.87  % (8221)Time elapsed: 0.030 s
% 0.87/0.87  % (8221)Instructions burned: 56 (million)
% 0.87/0.87  % (8221)------------------------------
% 0.87/0.87  % (8221)------------------------------
% 0.87/0.87  % (8229)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)
% 0.87/0.88  % (8226)Instruction limit reached!
% 0.87/0.88  % (8226)------------------------------
% 0.87/0.88  % (8226)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.88  % (8226)Termination reason: Unknown
% 0.87/0.88  % (8226)Termination phase: Saturation
% 0.87/0.88  
% 0.87/0.88  % (8226)Memory used [KB]: 1331
% 0.87/0.88  % (8226)Time elapsed: 0.021 s
% 0.87/0.88  % (8226)Instructions burned: 42 (million)
% 0.87/0.88  % (8226)------------------------------
% 0.87/0.88  % (8226)------------------------------
% 0.87/0.88  % (8224)Instruction limit reached!
% 0.87/0.88  % (8224)------------------------------
% 0.87/0.88  % (8224)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.88  % (8224)Termination reason: Unknown
% 0.87/0.88  % (8224)Termination phase: Saturation
% 0.87/0.88  
% 0.87/0.88  % (8224)Memory used [KB]: 1589
% 0.87/0.88  % (8224)Time elapsed: 0.030 s
% 0.87/0.88  % (8224)Instructions burned: 52 (million)
% 0.87/0.88  % (8224)------------------------------
% 0.87/0.88  % (8224)------------------------------
% 0.87/0.88  % (8215)Instruction limit reached!
% 0.87/0.88  % (8215)------------------------------
% 0.87/0.88  % (8215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.88  % (8215)Termination reason: Unknown
% 0.87/0.88  % (8215)Termination phase: Saturation
% 0.87/0.88  
% 0.87/0.88  % (8215)Memory used [KB]: 1638
% 0.87/0.88  % (8215)Time elapsed: 0.045 s
% 0.87/0.88  % (8215)Instructions burned: 79 (million)
% 0.87/0.88  % (8215)------------------------------
% 0.87/0.88  % (8215)------------------------------
% 0.87/0.88  % (8230)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)
% 0.87/0.88  % (8231)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)
% 0.87/0.88  % (8232)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)
% 0.87/0.90  % (8232)Instruction limit reached!
% 0.87/0.90  % (8232)------------------------------
% 0.87/0.90  % (8232)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.90  % (8232)Termination reason: Unknown
% 0.87/0.90  % (8232)Termination phase: Saturation
% 0.87/0.90  
% 0.87/0.90  % (8232)Memory used [KB]: 1621
% 0.87/0.90  % (8232)Time elapsed: 0.019 s
% 0.87/0.90  % (8232)Instructions burned: 32 (million)
% 0.87/0.90  % (8232)------------------------------
% 0.87/0.90  % (8232)------------------------------
% 0.87/0.90  % (8234)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)
% 1.02/0.91  % (8231)Instruction limit reached!
% 1.02/0.91  % (8231)------------------------------
% 1.02/0.91  % (8231)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.02/0.91  % (8231)Termination reason: Unknown
% 1.02/0.91  % (8231)Termination phase: Saturation
% 1.02/0.91  
% 1.02/0.91  % (8231)Memory used [KB]: 2195
% 1.02/0.91  % (8231)Time elapsed: 0.032 s
% 1.02/0.91  % (8231)Instructions burned: 63 (million)
% 1.02/0.91  % (8231)------------------------------
% 1.02/0.91  % (8231)------------------------------
% 1.02/0.91  % (8235)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)
% 1.02/0.92  % (8229)Instruction limit reached!
% 1.02/0.92  % (8229)------------------------------
% 1.02/0.92  % (8229)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.02/0.92  % (8229)Termination reason: Unknown
% 1.02/0.92  % (8229)Termination phase: Saturation
% 1.02/0.92  
% 1.02/0.92  % (8229)Memory used [KB]: 1475
% 1.02/0.92  % (8229)Time elapsed: 0.050 s
% 1.02/0.92  % (8229)Instructions burned: 145 (million)
% 1.02/0.92  % (8229)------------------------------
% 1.02/0.92  % (8229)------------------------------
% 1.02/0.93  % (8236)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)
% 1.02/0.93  % (8230)Instruction limit reached!
% 1.02/0.93  % (8230)------------------------------
% 1.02/0.93  % (8230)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.02/0.93  % (8230)Termination reason: Unknown
% 1.02/0.93  % (8230)Termination phase: Saturation
% 1.02/0.93  
% 1.02/0.93  % (8230)Memory used [KB]: 1957
% 1.02/0.93  % (8230)Time elapsed: 0.049 s
% 1.02/0.93  % (8230)Instructions burned: 93 (million)
% 1.02/0.93  % (8230)------------------------------
% 1.02/0.93  % (8230)------------------------------
% 1.02/0.93  % (8228)Instruction limit reached!
% 1.02/0.93  % (8228)------------------------------
% 1.02/0.93  % (8228)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.02/0.93  % (8228)Termination reason: Unknown
% 1.02/0.93  % (8228)Termination phase: Saturation
% 1.02/0.93  
% 1.02/0.93  % (8228)Memory used [KB]: 2015
% 1.02/0.93  % (8228)Time elapsed: 0.060 s
% 1.02/0.93  % (8228)Instructions burned: 117 (million)
% 1.02/0.93  % (8228)------------------------------
% 1.02/0.93  % (8228)------------------------------
% 1.02/0.93  % (8223)First to succeed.
% 1.02/0.93  % (8237)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)
% 1.02/0.93  % (8238)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)
% 1.21/0.93  % (8223)Refutation found. Thanks to Tanya!
% 1.21/0.93  % SZS status Theorem for Vampire---4
% 1.21/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 1.21/0.94  % (8223)------------------------------
% 1.21/0.94  % (8223)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.21/0.94  % (8223)Termination reason: Refutation
% 1.21/0.94  
% 1.21/0.94  % (8223)Memory used [KB]: 2152
% 1.21/0.94  % (8223)Time elapsed: 0.089 s
% 1.21/0.94  % (8223)Instructions burned: 175 (million)
% 1.21/0.94  % (8223)------------------------------
% 1.21/0.94  % (8223)------------------------------
% 1.21/0.94  % (8212)Success in time 0.572 s
% 1.21/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------