TSTP Solution File: NUM513+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM513+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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:12:41 EDT 2024

% Result   : Theorem 0.58s 0.83s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  148 (  29 unt;   0 def)
%            Number of atoms       :  552 ( 154 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  678 ( 274   ~; 316   |;  59   &)
%                                         (  16 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   81 (  77   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2736,plain,
    $false,
    inference(avatar_sat_refutation,[],[f270,f354,f413,f545,f807,f827,f835,f868,f877,f1187,f2732]) ).

fof(f2732,plain,
    ( ~ spl4_17
    | spl4_24
    | ~ spl4_37
    | ~ spl4_44
    | ~ spl4_66 ),
    inference(avatar_contradiction_clause,[],[f2731]) ).

fof(f2731,plain,
    ( $false
    | ~ spl4_17
    | spl4_24
    | ~ spl4_37
    | ~ spl4_44
    | ~ spl4_66 ),
    inference(subsumption_resolution,[],[f2730,f272]) ).

fof(f272,plain,
    sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)),
    inference(forward_demodulation,[],[f176,f158]) ).

fof(f158,plain,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__2306) ).

fof(f176,plain,
    sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
    inference(flattening,[],[f56]) ).

fof(f56,negated_conjecture,
    sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
    inference(negated_conjecture,[],[f55]) ).

fof(f55,conjecture,
    sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__) ).

fof(f2730,plain,
    ( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr))
    | ~ spl4_17
    | spl4_24
    | ~ spl4_37
    | ~ spl4_44
    | ~ spl4_66 ),
    inference(subsumption_resolution,[],[f2716,f1281]) ).

fof(f1281,plain,
    ( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | ~ spl4_17
    | spl4_24
    | ~ spl4_44 ),
    inference(subsumption_resolution,[],[f1280,f163]) ).

fof(f163,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( isPrime0(xr)
    & doDivides0(xr,xk)
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__2342) ).

fof(f1280,plain,
    ( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | ~ aNaturalNumber0(xr)
    | ~ spl4_17
    | spl4_24
    | ~ spl4_44 ),
    inference(subsumption_resolution,[],[f1279,f381]) ).

fof(f381,plain,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl4_17
  <=> aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f1279,plain,
    ( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr)
    | spl4_24
    | ~ spl4_44 ),
    inference(subsumption_resolution,[],[f1278,f475]) ).

fof(f475,plain,
    ( sz00 != xr
    | spl4_24 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl4_24
  <=> sz00 = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f1278,plain,
    ( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr)
    | ~ spl4_44 ),
    inference(subsumption_resolution,[],[f1277,f258]) ).

fof(f258,plain,
    doDivides0(xr,sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(forward_demodulation,[],[f164,f158]) ).

fof(f164,plain,
    doDivides0(xr,xk),
    inference(cnf_transformation,[],[f48]) ).

fof(f1277,plain,
    ( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | ~ doDivides0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr)
    | ~ spl4_44 ),
    inference(subsumption_resolution,[],[f1272,f148]) ).

fof(f148,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__1837) ).

fof(f1272,plain,
    ( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | ~ aNaturalNumber0(xp)
    | ~ doDivides0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr)
    | ~ spl4_44 ),
    inference(superposition,[],[f618,f214]) ).

fof(f214,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
          | ~ aNaturalNumber0(X2) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',mDivAsso) ).

fof(f618,plain,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)),xr))
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl4_44
  <=> aNaturalNumber0(sdtsldt0(sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)),xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

fof(f2716,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr))
    | ~ spl4_37
    | ~ spl4_66 ),
    inference(trivial_inequality_removal,[],[f2710]) ).

fof(f2710,plain,
    ( sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
    | ~ aNaturalNumber0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)))
    | sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr))
    | ~ spl4_37
    | ~ spl4_66 ),
    inference(superposition,[],[f542,f834]) ).

fof(f834,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)),xr)
    | ~ spl4_66 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl4_66
  <=> sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

fof(f542,plain,
    ( ! [X0] :
        ( sdtasdt0(xn,xm) != sdtasdt0(X0,xr)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtsldt0(xn,xr),xm) = X0 )
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl4_37
  <=> ! [X0] :
        ( sdtasdt0(xn,xm) != sdtasdt0(X0,xr)
        | ~ aNaturalNumber0(X0)
        | sdtasdt0(sdtsldt0(xn,xr),xm) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f1187,plain,
    ( ~ spl4_10
    | spl4_24
    | spl4_42
    | spl4_44 ),
    inference(avatar_contradiction_clause,[],[f1186]) ).

fof(f1186,plain,
    ( $false
    | ~ spl4_10
    | spl4_24
    | spl4_42
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1185,f163]) ).

fof(f1185,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ spl4_10
    | spl4_24
    | spl4_42
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1184,f327]) ).

fof(f327,plain,
    ( aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f326,plain,
    ( spl4_10
  <=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f1184,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xr)
    | ~ spl4_10
    | spl4_24
    | spl4_42
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1183,f475]) ).

fof(f1183,plain,
    ( sz00 = xr
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xr)
    | ~ spl4_10
    | spl4_42
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1180,f167]) ).

fof(f167,plain,
    doDivides0(xr,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,axiom,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & sdtlseqdt0(xr,xk) ),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__2362) ).

fof(f1180,plain,
    ( ~ doDivides0(xr,sdtasdt0(xn,xm))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xr)
    | ~ spl4_10
    | spl4_42
    | spl4_44 ),
    inference(resolution,[],[f1173,f253]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtsldt0(X1,X0))
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f217]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[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(flattening,[],[f140]) ).

fof(f140,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,[],[f105]) ).

fof(f105,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,[],[f104]) ).

fof(f104,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.oWy3zEuxyE/Vampire---4.8_8071',mDefQuot) ).

fof(f1173,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
    | ~ spl4_10
    | spl4_42
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1172,f148]) ).

fof(f1172,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
    | ~ aNaturalNumber0(xp)
    | ~ spl4_10
    | spl4_42
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1171,f327]) ).

fof(f1171,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | spl4_42
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1170,f608]) ).

fof(f608,plain,
    ( sz00 != xp
    | spl4_42 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f607,plain,
    ( spl4_42
  <=> sz00 = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

fof(f1170,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | spl4_44 ),
    inference(subsumption_resolution,[],[f1157,f151]) ).

fof(f151,plain,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & isPrime0(xp) ),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__1860) ).

fof(f1157,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
    | ~ doDivides0(xp,sdtasdt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | spl4_44 ),
    inference(superposition,[],[f619,f252]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f218]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X2) = X1
      | sdtsldt0(X1,X0) != X2
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f619,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)),xr))
    | spl4_44 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f877,plain,
    ( ~ spl4_15
    | spl4_20 ),
    inference(avatar_contradiction_clause,[],[f876]) ).

fof(f876,plain,
    ( $false
    | ~ spl4_15
    | spl4_20 ),
    inference(subsumption_resolution,[],[f875,f366]) ).

fof(f366,plain,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f365,plain,
    ( spl4_15
  <=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f875,plain,
    ( ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | spl4_20 ),
    inference(subsumption_resolution,[],[f871,f147]) ).

fof(f147,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f871,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | spl4_20 ),
    inference(resolution,[],[f450,f203]) ).

fof(f203,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/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',mSortsB_02) ).

fof(f450,plain,
    ( ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
    | spl4_20 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl4_20
  <=> aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f868,plain,
    ~ spl4_24,
    inference(avatar_contradiction_clause,[],[f867]) ).

fof(f867,plain,
    ( $false
    | ~ spl4_24 ),
    inference(subsumption_resolution,[],[f865,f238]) ).

fof(f238,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',mSortsC) ).

fof(f865,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ spl4_24 ),
    inference(resolution,[],[f850,f250]) ).

fof(f250,plain,
    ( ~ isPrime0(sz00)
    | ~ aNaturalNumber0(sz00) ),
    inference(equality_resolution,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( sz00 != X0
      | ~ isPrime0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ( ( isPrime0(X0)
          | ( sK2(X0) != X0
            & sz10 != sK2(X0)
            & doDivides0(sK2(X0),X0)
            & aNaturalNumber0(sK2(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,[sK2])],[f137,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & aNaturalNumber0(X1) )
     => ( sK2(X0) != X0
        & sz10 != sK2(X0)
        & doDivides0(sK2(X0),X0)
        & aNaturalNumber0(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,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,[],[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(flattening,[],[f135]) ).

fof(f135,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,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ( isPrime0(X0)
      <=> ( ! [X1] :
              ( X0 = X1
              | sz10 = X1
              | ~ doDivides0(X1,X0)
              | ~ aNaturalNumber0(X1) )
          & sz10 != X0
          & sz00 != X0 ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f96]) ).

fof(f96,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.oWy3zEuxyE/Vampire---4.8_8071',mDefPrime) ).

fof(f850,plain,
    ( isPrime0(sz00)
    | ~ spl4_24 ),
    inference(superposition,[],[f165,f476]) ).

fof(f476,plain,
    ( sz00 = xr
    | ~ spl4_24 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f165,plain,
    isPrime0(xr),
    inference(cnf_transformation,[],[f48]) ).

fof(f835,plain,
    ( ~ spl4_17
    | spl4_24
    | spl4_66 ),
    inference(avatar_split_clause,[],[f830,f832,f474,f380]) ).

fof(f830,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)),xr)
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
    inference(subsumption_resolution,[],[f829,f163]) ).

fof(f829,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)),xr)
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f828,f258]) ).

fof(f828,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)),xr)
    | ~ doDivides0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f579,f148]) ).

fof(f579,plain,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(sdtsldt0(sdtasdt0(xn,xm),xp),xr)),xr)
    | ~ aNaturalNumber0(xp)
    | ~ doDivides0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | sz00 = xr
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(superposition,[],[f271,f214]) ).

fof(f271,plain,
    sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)),xr),xr),
    inference(forward_demodulation,[],[f175,f158]) ).

fof(f175,plain,
    sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
    & sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) ),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__2576) ).

fof(f827,plain,
    ( ~ spl4_10
    | spl4_17
    | spl4_42 ),
    inference(avatar_contradiction_clause,[],[f826]) ).

fof(f826,plain,
    ( $false
    | ~ spl4_10
    | spl4_17
    | spl4_42 ),
    inference(subsumption_resolution,[],[f825,f148]) ).

fof(f825,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl4_10
    | spl4_17
    | spl4_42 ),
    inference(subsumption_resolution,[],[f824,f327]) ).

fof(f824,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | spl4_17
    | spl4_42 ),
    inference(subsumption_resolution,[],[f823,f608]) ).

fof(f823,plain,
    ( sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | spl4_17 ),
    inference(subsumption_resolution,[],[f820,f151]) ).

fof(f820,plain,
    ( ~ doDivides0(xp,sdtasdt0(xn,xm))
    | sz00 = xp
    | ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | ~ aNaturalNumber0(xp)
    | spl4_17 ),
    inference(resolution,[],[f382,f253]) ).

fof(f382,plain,
    ( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | spl4_17 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f807,plain,
    ~ spl4_42,
    inference(avatar_contradiction_clause,[],[f806]) ).

fof(f806,plain,
    ( $false
    | ~ spl4_42 ),
    inference(subsumption_resolution,[],[f804,f238]) ).

fof(f804,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ spl4_42 ),
    inference(resolution,[],[f722,f250]) ).

fof(f722,plain,
    ( isPrime0(sz00)
    | ~ spl4_42 ),
    inference(superposition,[],[f150,f609]) ).

fof(f609,plain,
    ( sz00 = xp
    | ~ spl4_42 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f150,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f41]) ).

fof(f545,plain,
    ( spl4_24
    | ~ spl4_20
    | spl4_37 ),
    inference(avatar_split_clause,[],[f544,f541,f448,f474]) ).

fof(f544,plain,
    ! [X0] :
      ( sdtasdt0(xn,xm) != sdtasdt0(X0,xr)
      | sdtasdt0(sdtsldt0(xn,xr),xm) = X0
      | ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
      | ~ aNaturalNumber0(X0)
      | sz00 = xr ),
    inference(subsumption_resolution,[],[f438,f163]) ).

fof(f438,plain,
    ! [X0] :
      ( sdtasdt0(xn,xm) != sdtasdt0(X0,xr)
      | sdtasdt0(sdtsldt0(xn,xr),xm) = X0
      | ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))
      | ~ aNaturalNumber0(X0)
      | sz00 = xr
      | ~ aNaturalNumber0(xr) ),
    inference(superposition,[],[f235,f174]) ).

fof(f174,plain,
    sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),
    inference(cnf_transformation,[],[f54]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f122]) ).

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

fof(f121,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',mMulCanc) ).

fof(f413,plain,
    ( ~ spl4_1
    | spl4_15 ),
    inference(avatar_contradiction_clause,[],[f412]) ).

fof(f412,plain,
    ( $false
    | ~ spl4_1
    | spl4_15 ),
    inference(subsumption_resolution,[],[f410,f238]) ).

fof(f410,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ spl4_1
    | spl4_15 ),
    inference(resolution,[],[f399,f250]) ).

fof(f399,plain,
    ( isPrime0(sz00)
    | ~ spl4_1
    | spl4_15 ),
    inference(superposition,[],[f165,f395]) ).

fof(f395,plain,
    ( sz00 = xr
    | ~ spl4_1
    | spl4_15 ),
    inference(subsumption_resolution,[],[f394,f163]) ).

fof(f394,plain,
    ( sz00 = xr
    | ~ aNaturalNumber0(xr)
    | ~ spl4_1
    | spl4_15 ),
    inference(subsumption_resolution,[],[f393,f146]) ).

fof(f146,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f393,plain,
    ( sz00 = xr
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | ~ spl4_1
    | spl4_15 ),
    inference(subsumption_resolution,[],[f392,f264]) ).

fof(f264,plain,
    ( doDivides0(xr,xn)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl4_1
  <=> doDivides0(xr,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f392,plain,
    ( ~ doDivides0(xr,xn)
    | sz00 = xr
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xr)
    | spl4_15 ),
    inference(resolution,[],[f367,f253]) ).

fof(f367,plain,
    ( ~ aNaturalNumber0(sdtsldt0(xn,xr))
    | spl4_15 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f354,plain,
    spl4_10,
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | spl4_10 ),
    inference(subsumption_resolution,[],[f352,f146]) ).

fof(f352,plain,
    ( ~ aNaturalNumber0(xn)
    | spl4_10 ),
    inference(subsumption_resolution,[],[f350,f147]) ).

fof(f350,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl4_10 ),
    inference(resolution,[],[f328,f203]) ).

fof(f328,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xn,xm))
    | spl4_10 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f270,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f171,f262]) ).

fof(f171,plain,
    doDivides0(xr,xn),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    doDivides0(xr,xn),
    file('/export/starexec/sandbox2/tmp/tmp.oWy3zEuxyE/Vampire---4.8_8071',m__2487) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM513+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 14:07:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.oWy3zEuxyE/Vampire---4.8_8071
% 0.54/0.74  % (8180)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 (2996ds/34Mi)
% 0.54/0.75  % (8183)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.75  % (8182)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (8184)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 (2996ds/34Mi)
% 0.54/0.75  % (8181)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 (2996ds/51Mi)
% 0.54/0.75  % (8185)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.75  % (8186)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 (2996ds/83Mi)
% 0.54/0.75  % (8187)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 (2996ds/56Mi)
% 0.54/0.76  % (8180)Instruction limit reached!
% 0.54/0.76  % (8180)------------------------------
% 0.54/0.76  % (8180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (8180)Termination reason: Unknown
% 0.54/0.76  % (8180)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (8180)Memory used [KB]: 1418
% 0.54/0.76  % (8180)Time elapsed: 0.034 s
% 0.54/0.76  % (8180)Instructions burned: 35 (million)
% 0.54/0.76  % (8180)------------------------------
% 0.54/0.76  % (8180)------------------------------
% 0.54/0.76  % (8188)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 (2996ds/55Mi)
% 0.54/0.76  % (8183)Instruction limit reached!
% 0.54/0.76  % (8183)------------------------------
% 0.54/0.76  % (8183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (8183)Termination reason: Unknown
% 0.54/0.76  % (8183)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (8183)Memory used [KB]: 1525
% 0.54/0.76  % (8183)Time elapsed: 0.038 s
% 0.54/0.76  % (8183)Instructions burned: 34 (million)
% 0.54/0.76  % (8183)------------------------------
% 0.54/0.76  % (8183)------------------------------
% 0.54/0.76  % (8184)Instruction limit reached!
% 0.54/0.76  % (8184)------------------------------
% 0.54/0.76  % (8184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (8184)Termination reason: Unknown
% 0.54/0.76  % (8184)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (8184)Memory used [KB]: 1637
% 0.54/0.76  % (8184)Time elapsed: 0.039 s
% 0.54/0.76  % (8184)Instructions burned: 34 (million)
% 0.54/0.76  % (8184)------------------------------
% 0.54/0.76  % (8184)------------------------------
% 0.58/0.77  % (8190)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 (2996ds/208Mi)
% 0.58/0.77  % (8185)Instruction limit reached!
% 0.58/0.77  % (8185)------------------------------
% 0.58/0.77  % (8185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (8185)Termination reason: Unknown
% 0.58/0.77  % (8185)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (8185)Memory used [KB]: 1588
% 0.58/0.77  % (8185)Time elapsed: 0.047 s
% 0.58/0.77  % (8185)Instructions burned: 46 (million)
% 0.58/0.77  % (8185)------------------------------
% 0.58/0.77  % (8185)------------------------------
% 0.58/0.77  % (8189)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 (2996ds/50Mi)
% 0.58/0.77  % (8187)Instruction limit reached!
% 0.58/0.77  % (8187)------------------------------
% 0.58/0.77  % (8187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (8187)Termination reason: Unknown
% 0.58/0.77  % (8187)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (8187)Memory used [KB]: 1434
% 0.58/0.77  % (8187)Time elapsed: 0.050 s
% 0.58/0.77  % (8187)Instructions burned: 57 (million)
% 0.58/0.77  % (8187)------------------------------
% 0.58/0.77  % (8187)------------------------------
% 0.58/0.77  % (8181)Instruction limit reached!
% 0.58/0.77  % (8181)------------------------------
% 0.58/0.77  % (8181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (8181)Termination reason: Unknown
% 0.58/0.77  % (8181)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (8181)Memory used [KB]: 1813
% 0.58/0.77  % (8181)Time elapsed: 0.052 s
% 0.58/0.77  % (8181)Instructions burned: 51 (million)
% 0.58/0.77  % (8181)------------------------------
% 0.58/0.77  % (8181)------------------------------
% 0.58/0.78  % (8188)Instruction limit reached!
% 0.58/0.78  % (8188)------------------------------
% 0.58/0.78  % (8188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (8188)Termination reason: Unknown
% 0.58/0.78  % (8188)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (8188)Memory used [KB]: 2050
% 0.58/0.78  % (8188)Time elapsed: 0.039 s
% 0.58/0.78  % (8188)Instructions burned: 56 (million)
% 0.58/0.78  % (8188)------------------------------
% 0.58/0.78  % (8188)------------------------------
% 0.58/0.78  % (8191)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 (2996ds/52Mi)
% 0.58/0.78  % (8192)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)
% 0.58/0.78  % (8193)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)
% 0.58/0.78  % (8194)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.58/0.78  % (8186)Instruction limit reached!
% 0.58/0.78  % (8186)------------------------------
% 0.58/0.78  % (8186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (8186)Termination reason: Unknown
% 0.58/0.78  % (8186)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (8186)Memory used [KB]: 1877
% 0.58/0.78  % (8186)Time elapsed: 0.038 s
% 0.58/0.78  % (8186)Instructions burned: 83 (million)
% 0.58/0.78  % (8186)------------------------------
% 0.58/0.78  % (8186)------------------------------
% 0.58/0.79  % (8182)Instruction limit reached!
% 0.58/0.79  % (8182)------------------------------
% 0.58/0.79  % (8182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (8182)Termination reason: Unknown
% 0.58/0.79  % (8182)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (8182)Memory used [KB]: 1685
% 0.58/0.79  % (8182)Time elapsed: 0.044 s
% 0.58/0.79  % (8182)Instructions burned: 80 (million)
% 0.58/0.79  % (8182)------------------------------
% 0.58/0.79  % (8182)------------------------------
% 0.58/0.79  % (8189)Instruction limit reached!
% 0.58/0.79  % (8189)------------------------------
% 0.58/0.79  % (8189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (8189)Termination reason: Unknown
% 0.58/0.79  % (8189)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (8189)Memory used [KB]: 1540
% 0.58/0.79  % (8189)Time elapsed: 0.047 s
% 0.58/0.79  % (8189)Instructions burned: 51 (million)
% 0.58/0.79  % (8189)------------------------------
% 0.58/0.79  % (8189)------------------------------
% 0.58/0.79  % (8196)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.58/0.79  % (8195)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.58/0.80  % (8197)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.58/0.80  % (8193)Instruction limit reached!
% 0.58/0.80  % (8193)------------------------------
% 0.58/0.80  % (8193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (8193)Termination reason: Unknown
% 0.58/0.80  % (8193)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (8193)Memory used [KB]: 1330
% 0.58/0.80  % (8193)Time elapsed: 0.022 s
% 0.58/0.80  % (8193)Instructions burned: 43 (million)
% 0.58/0.80  % (8193)------------------------------
% 0.58/0.80  % (8193)------------------------------
% 0.58/0.80  % (8191)Instruction limit reached!
% 0.58/0.80  % (8191)------------------------------
% 0.58/0.80  % (8191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (8191)Termination reason: Unknown
% 0.58/0.80  % (8191)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (8191)Memory used [KB]: 1637
% 0.58/0.80  % (8191)Time elapsed: 0.057 s
% 0.58/0.80  % (8191)Instructions burned: 52 (million)
% 0.58/0.80  % (8191)------------------------------
% 0.58/0.80  % (8191)------------------------------
% 0.58/0.81  % (8199)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.58/0.81  % (8198)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.58/0.83  % (8199)Instruction limit reached!
% 0.58/0.83  % (8199)------------------------------
% 0.58/0.83  % (8199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83  % (8199)Termination reason: Unknown
% 0.58/0.83  % (8199)Termination phase: Saturation
% 0.58/0.83  
% 0.58/0.83  % (8199)Memory used [KB]: 1547
% 0.58/0.83  % (8199)Time elapsed: 0.018 s
% 0.58/0.83  % (8199)Instructions burned: 32 (million)
% 0.58/0.83  % (8199)------------------------------
% 0.58/0.83  % (8199)------------------------------
% 0.58/0.83  % (8192)First to succeed.
% 0.58/0.83  % (8192)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8179"
% 0.58/0.83  % (8192)Refutation found. Thanks to Tanya!
% 0.58/0.83  % SZS status Theorem for Vampire---4
% 0.58/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.83  % (8192)------------------------------
% 0.58/0.83  % (8192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.83  % (8192)Termination reason: Refutation
% 0.58/0.83  
% 0.58/0.83  % (8192)Memory used [KB]: 2481
% 0.58/0.83  % (8192)Time elapsed: 0.052 s
% 0.58/0.83  % (8192)Instructions burned: 185 (million)
% 0.58/0.83  % (8179)Success in time 0.471 s
% 0.58/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------