TSTP Solution File: NUM507+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM507+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 08:12:38 EDT 2024

% Result   : Theorem 0.95s 0.86s
% Output   : Refutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  124 (  25 unt;   0 def)
%            Number of atoms       :  464 ( 122 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  548 ( 208   ~; 193   |; 117   &)
%                                         (   9 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-2 aty)
%            Number of variables   :  122 (  99   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2072,plain,
    $false,
    inference(avatar_sat_refutation,[],[f332,f854,f955,f1765,f1914,f1950,f2071]) ).

fof(f2071,plain,
    ( ~ spl17_1
    | spl17_36
    | ~ spl17_38 ),
    inference(avatar_contradiction_clause,[],[f2069]) ).

fof(f2069,plain,
    ( $false
    | ~ spl17_1
    | spl17_36
    | ~ spl17_38 ),
    inference(unit_resulting_resolution,[],[f178,f222,f953,f327,f945,f261]) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mAddCanc) ).

fof(f945,plain,
    ( xp != xr
    | spl17_36 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f944,plain,
    ( spl17_36
  <=> xp = xr ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).

fof(f327,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr)
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl17_1
  <=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).

fof(f953,plain,
    ( aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ spl17_38 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl17_38
  <=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).

fof(f222,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & xk = sdtasdt0(xr,sK9)
    & aNaturalNumber0(sK9)
    & aNaturalNumber0(xr) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f68,f152]) ).

fof(f152,plain,
    ( ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
   => ( xk = sdtasdt0(xr,sK9)
      & aNaturalNumber0(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X0] :
        ( xk = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',m__2342) ).

fof(f178,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',m__1837) ).

fof(f1950,plain,
    ~ spl17_36,
    inference(avatar_contradiction_clause,[],[f1949]) ).

fof(f1949,plain,
    ( $false
    | ~ spl17_36 ),
    inference(subsumption_resolution,[],[f1930,f1878]) ).

fof(f1878,plain,
    ~ doDivides0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(subsumption_resolution,[],[f1877,f178]) ).

fof(f1877,plain,
    ( ~ doDivides0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f1876,f318]) ).

fof(f318,plain,
    aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(forward_demodulation,[],[f215,f217]) ).

fof(f217,plain,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    & aNaturalNumber0(xk) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',m__2306) ).

fof(f215,plain,
    aNaturalNumber0(xk),
    inference(cnf_transformation,[],[f45]) ).

fof(f1876,plain,
    ( ~ doDivides0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f1871,f605]) ).

fof(f605,plain,
    sz00 != sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(superposition,[],[f218,f217]) ).

fof(f218,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( sz10 != xk
    & sz00 != xk ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ~ ( sz10 = xk
      | sz00 = xk ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',m__2315) ).

fof(f1871,plain,
    ( sz00 = sdtsldt0(sdtasdt0(xn,xm),xp)
    | ~ doDivides0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xp) ),
    inference(resolution,[],[f712,f280]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sz00 != X1
          & doDivides0(X0,X1) )
       => sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mDivLE) ).

fof(f712,plain,
    ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(subsumption_resolution,[],[f711,f178]) ).

fof(f711,plain,
    ( ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f710,f318]) ).

fof(f710,plain,
    ( ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f708,f603]) ).

fof(f603,plain,
    xp != sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(superposition,[],[f236,f217]) ).

fof(f236,plain,
    xp != xk,
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( sdtlseqdt0(xk,xp)
    & xp = sdtpldt0(xk,sK12)
    & aNaturalNumber0(sK12)
    & xp != xk ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f50,f157]) ).

fof(f157,plain,
    ( ? [X0] :
        ( xp = sdtpldt0(xk,X0)
        & aNaturalNumber0(X0) )
   => ( xp = sdtpldt0(xk,sK12)
      & aNaturalNumber0(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,axiom,
    ( sdtlseqdt0(xk,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xk,X0)
        & aNaturalNumber0(X0) )
    & xp != xk ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',m__2377) ).

fof(f708,plain,
    ( xp = sdtsldt0(sdtasdt0(xn,xm),xp)
    | ~ sdtlseqdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xp) ),
    inference(resolution,[],[f322,f302]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mLEAsym) ).

fof(f322,plain,
    sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xm),xp),xp),
    inference(forward_demodulation,[],[f239,f217]) ).

fof(f239,plain,
    sdtlseqdt0(xk,xp),
    inference(cnf_transformation,[],[f158]) ).

fof(f1930,plain,
    ( doDivides0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ spl17_36 ),
    inference(superposition,[],[f319,f946]) ).

fof(f946,plain,
    ( xp = xr
    | ~ spl17_36 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f319,plain,
    doDivides0(xr,sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(forward_demodulation,[],[f225,f217]) ).

fof(f225,plain,
    doDivides0(xr,xk),
    inference(cnf_transformation,[],[f153]) ).

fof(f1914,plain,
    ( ~ spl17_31
    | spl17_37 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | ~ spl17_31
    | spl17_37 ),
    inference(unit_resulting_resolution,[],[f178,f222,f994,f318,f712,f770,f301]) ).

fof(f301,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mLETran) ).

fof(f770,plain,
    ( sdtlseqdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ spl17_31 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f768,plain,
    ( spl17_31
  <=> sdtlseqdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).

fof(f994,plain,
    ( sdtlseqdt0(xp,xr)
    | spl17_37 ),
    inference(subsumption_resolution,[],[f993,f178]) ).

fof(f993,plain,
    ( sdtlseqdt0(xp,xr)
    | ~ aNaturalNumber0(xp)
    | spl17_37 ),
    inference(subsumption_resolution,[],[f989,f222]) ).

fof(f989,plain,
    ( sdtlseqdt0(xp,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xp)
    | spl17_37 ),
    inference(resolution,[],[f950,f300]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & X0 != X1 )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mLETotal) ).

fof(f950,plain,
    ( ~ sdtlseqdt0(xr,xp)
    | spl17_37 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f948,plain,
    ( spl17_37
  <=> sdtlseqdt0(xr,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).

fof(f1765,plain,
    spl17_38,
    inference(avatar_contradiction_clause,[],[f1764]) ).

fof(f1764,plain,
    ( $false
    | spl17_38 ),
    inference(subsumption_resolution,[],[f1763,f176]) ).

fof(f176,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f1763,plain,
    ( ~ aNaturalNumber0(xn)
    | spl17_38 ),
    inference(subsumption_resolution,[],[f1761,f177]) ).

fof(f177,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f1761,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl17_38 ),
    inference(resolution,[],[f954,f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mSortsB) ).

fof(f954,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | spl17_38 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f955,plain,
    ( spl17_36
    | ~ spl17_37
    | ~ spl17_38
    | spl17_2 ),
    inference(avatar_split_clause,[],[f942,f329,f952,f948,f944]) ).

fof(f329,plain,
    ( spl17_2
  <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f942,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ sdtlseqdt0(xr,xp)
    | xp = xr
    | spl17_2 ),
    inference(subsumption_resolution,[],[f941,f222]) ).

fof(f941,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ sdtlseqdt0(xr,xp)
    | xp = xr
    | ~ aNaturalNumber0(xr)
    | spl17_2 ),
    inference(subsumption_resolution,[],[f935,f178]) ).

fof(f935,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | ~ sdtlseqdt0(xr,xp)
    | xp = xr
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xr)
    | spl17_2 ),
    inference(resolution,[],[f331,f296]) ).

fof(f296,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
      | ~ aNaturalNumber0(X2)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
            & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
          | ~ aNaturalNumber0(X2) )
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
              & sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
              & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
              & sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mMonAdd) ).

fof(f331,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
    | spl17_2 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f854,plain,
    spl17_31,
    inference(avatar_split_clause,[],[f853,f768]) ).

fof(f853,plain,
    sdtlseqdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xp)),
    inference(subsumption_resolution,[],[f852,f222]) ).

fof(f852,plain,
    ( sdtlseqdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f851,f318]) ).

fof(f851,plain,
    ( sdtlseqdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f828,f231]) ).

fof(f231,plain,
    aNaturalNumber0(sK11),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & sdtasdt0(xn,xm) = sdtasdt0(xr,sK10)
    & aNaturalNumber0(sK10)
    & xk = sdtpldt0(xr,sK11)
    & aNaturalNumber0(sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f57,f155,f154]) ).

fof(f154,plain,
    ( ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(xn,xm) = sdtasdt0(xr,sK10)
      & aNaturalNumber0(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ( ? [X1] :
        ( xk = sdtpldt0(xr,X1)
        & aNaturalNumber0(X1) )
   => ( xk = sdtpldt0(xr,sK11)
      & aNaturalNumber0(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & ? [X1] :
        ( xk = sdtpldt0(xr,X1)
        & aNaturalNumber0(X1) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & ? [X0] :
        ( xk = sdtpldt0(xr,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',m__2362) ).

fof(f828,plain,
    ( sdtlseqdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(sK11)
    | ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
    | ~ aNaturalNumber0(xr) ),
    inference(superposition,[],[f315,f321]) ).

fof(f321,plain,
    sdtsldt0(sdtasdt0(xn,xm),xp) = sdtpldt0(xr,sK11),
    inference(forward_demodulation,[],[f232,f217]) ).

fof(f232,plain,
    xk = sdtpldt0(xr,sK11),
    inference(cnf_transformation,[],[f156]) ).

fof(f315,plain,
    ! [X2,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtpldt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f306]) ).

fof(f306,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ( ( sdtlseqdt0(X0,X1)
          | ! [X2] :
              ( sdtpldt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtpldt0(X0,sK16(X0,X1)) = X1
            & aNaturalNumber0(sK16(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f173,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtpldt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtpldt0(X0,sK16(X0,X1)) = X1
        & aNaturalNumber0(sK16(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,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,[],[f172]) ).

fof(f172,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,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,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/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',mDefLE) ).

fof(f332,plain,
    ( spl17_1
    | ~ spl17_2 ),
    inference(avatar_split_clause,[],[f241,f329,f325]) ).

fof(f241,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
      & ! [X0] :
          ( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
          | ~ aNaturalNumber0(X0) ) )
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xr) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,negated_conjecture,
    ~ ( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ? [X0] :
            ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
            & aNaturalNumber0(X0) ) )
      & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr) ),
    inference(negated_conjecture,[],[f51]) ).

fof(f51,conjecture,
    ( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ? [X0] :
          ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)
          & aNaturalNumber0(X0) ) )
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xr) ),
    file('/export/starexec/sandbox2/tmp/tmp.teLIcilDMO/Vampire---4.8_12801',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM507+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:53:38 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.teLIcilDMO/Vampire---4.8_12801
% 0.55/0.74  % (13146)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)
% 0.55/0.74  % (13138)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)
% 0.55/0.74  % (13140)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (13142)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)
% 0.55/0.74  % (13139)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)
% 0.55/0.74  % (13143)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)
% 0.55/0.74  % (13144)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)
% 0.55/0.74  % (13145)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)
% 0.57/0.76  % (13146)Instruction limit reached!
% 0.57/0.76  % (13146)------------------------------
% 0.57/0.76  % (13146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (13146)Termination reason: Unknown
% 0.57/0.76  % (13146)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (13146)Memory used [KB]: 1763
% 0.57/0.76  % (13146)Time elapsed: 0.019 s
% 0.57/0.76  % (13146)Instructions burned: 56 (million)
% 0.57/0.76  % (13146)------------------------------
% 0.57/0.76  % (13146)------------------------------
% 0.57/0.76  % (13142)Instruction limit reached!
% 0.57/0.76  % (13142)------------------------------
% 0.57/0.76  % (13142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (13142)Termination reason: Unknown
% 0.57/0.76  % (13142)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (13142)Memory used [KB]: 1689
% 0.57/0.76  % (13142)Time elapsed: 0.019 s
% 0.57/0.76  % (13142)Instructions burned: 34 (million)
% 0.57/0.76  % (13142)------------------------------
% 0.57/0.76  % (13142)------------------------------
% 0.57/0.76  % (13143)Instruction limit reached!
% 0.57/0.76  % (13143)------------------------------
% 0.57/0.76  % (13143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (13143)Termination reason: Unknown
% 0.57/0.76  % (13143)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (13143)Memory used [KB]: 1716
% 0.57/0.76  % (13143)Time elapsed: 0.020 s
% 0.57/0.76  % (13143)Instructions burned: 34 (million)
% 0.57/0.76  % (13143)------------------------------
% 0.57/0.76  % (13143)------------------------------
% 0.57/0.76  % (13138)Instruction limit reached!
% 0.57/0.76  % (13138)------------------------------
% 0.57/0.76  % (13138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (13138)Termination reason: Unknown
% 0.57/0.76  % (13138)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (13138)Memory used [KB]: 1385
% 0.57/0.76  % (13138)Time elapsed: 0.021 s
% 0.57/0.76  % (13153)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)
% 0.57/0.76  % (13138)Instructions burned: 34 (million)
% 0.57/0.76  % (13138)------------------------------
% 0.57/0.76  % (13138)------------------------------
% 0.57/0.76  % (13155)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)
% 0.57/0.76  % (13156)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)
% 0.57/0.77  % (13158)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)
% 0.57/0.77  % (13144)Instruction limit reached!
% 0.57/0.77  % (13144)------------------------------
% 0.57/0.77  % (13144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (13144)Termination reason: Unknown
% 0.57/0.77  % (13144)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (13144)Memory used [KB]: 1591
% 0.57/0.77  % (13144)Time elapsed: 0.026 s
% 0.57/0.77  % (13144)Instructions burned: 46 (million)
% 0.57/0.77  % (13144)------------------------------
% 0.57/0.77  % (13144)------------------------------
% 0.57/0.77  % (13160)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 (2996ds/518Mi)
% 0.57/0.77  % (13139)Instruction limit reached!
% 0.57/0.77  % (13139)------------------------------
% 0.57/0.77  % (13139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (13139)Termination reason: Unknown
% 0.57/0.77  % (13139)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (13139)Memory used [KB]: 1616
% 0.57/0.77  % (13139)Time elapsed: 0.031 s
% 0.57/0.77  % (13139)Instructions burned: 51 (million)
% 0.57/0.77  % (13139)------------------------------
% 0.57/0.77  % (13139)------------------------------
% 0.57/0.77  % (13153)Instruction limit reached!
% 0.57/0.77  % (13153)------------------------------
% 0.57/0.77  % (13153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (13153)Termination reason: Unknown
% 0.57/0.77  % (13153)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (13153)Memory used [KB]: 1353
% 0.57/0.77  % (13153)Time elapsed: 0.014 s
% 0.57/0.77  % (13153)Instructions burned: 58 (million)
% 0.57/0.77  % (13153)------------------------------
% 0.57/0.77  % (13153)------------------------------
% 0.57/0.78  % (13161)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 (2996ds/42Mi)
% 0.57/0.78  % (13163)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)
% 0.57/0.78  % (13145)Instruction limit reached!
% 0.57/0.78  % (13145)------------------------------
% 0.57/0.78  % (13145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (13145)Termination reason: Unknown
% 0.57/0.78  % (13145)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (13145)Memory used [KB]: 1914
% 0.57/0.78  % (13145)Time elapsed: 0.038 s
% 0.57/0.78  % (13145)Instructions burned: 83 (million)
% 0.57/0.78  % (13145)------------------------------
% 0.57/0.78  % (13145)------------------------------
% 0.57/0.78  % (13166)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)
% 0.57/0.79  % (13155)Instruction limit reached!
% 0.57/0.79  % (13155)------------------------------
% 0.57/0.79  % (13155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (13140)Instruction limit reached!
% 0.57/0.79  % (13140)------------------------------
% 0.57/0.79  % (13140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (13140)Termination reason: Unknown
% 0.57/0.79  % (13140)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (13140)Memory used [KB]: 1674
% 0.57/0.79  % (13140)Time elapsed: 0.048 s
% 0.57/0.79  % (13140)Instructions burned: 79 (million)
% 0.57/0.79  % (13140)------------------------------
% 0.57/0.79  % (13140)------------------------------
% 0.57/0.79  % (13155)Termination reason: Unknown
% 0.57/0.79  % (13155)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (13155)Memory used [KB]: 1656
% 0.57/0.79  % (13155)Time elapsed: 0.048 s
% 0.57/0.79  % (13155)Instructions burned: 51 (million)
% 0.57/0.79  % (13155)------------------------------
% 0.57/0.79  % (13155)------------------------------
% 0.57/0.79  % (13161)Instruction limit reached!
% 0.57/0.79  % (13161)------------------------------
% 0.57/0.79  % (13161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (13161)Termination reason: Unknown
% 0.57/0.79  % (13161)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (13161)Memory used [KB]: 1382
% 0.57/0.79  % (13161)Time elapsed: 0.018 s
% 0.57/0.79  % (13161)Instructions burned: 42 (million)
% 0.57/0.79  % (13161)------------------------------
% 0.57/0.79  % (13161)------------------------------
% 0.57/0.79  % (13168)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)
% 0.57/0.79  % (13169)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)
% 0.57/0.80  % (13171)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)
% 0.57/0.80  % (13158)Instruction limit reached!
% 0.57/0.80  % (13158)------------------------------
% 0.57/0.80  % (13158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (13158)Termination reason: Unknown
% 0.57/0.80  % (13158)Termination phase: Saturation
% 0.57/0.80  
% 0.57/0.80  % (13158)Memory used [KB]: 1650
% 0.57/0.80  % (13158)Time elapsed: 0.058 s
% 0.57/0.80  % (13158)Instructions burned: 53 (million)
% 0.57/0.80  % (13158)------------------------------
% 0.57/0.80  % (13158)------------------------------
% 0.57/0.80  % (13174)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)
% 0.57/0.82  % (13174)Instruction limit reached!
% 0.57/0.82  % (13174)------------------------------
% 0.57/0.82  % (13174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.82  % (13174)Termination reason: Unknown
% 0.57/0.82  % (13174)Termination phase: Saturation
% 0.57/0.82  
% 0.57/0.82  % (13174)Memory used [KB]: 1368
% 0.57/0.82  % (13174)Time elapsed: 0.018 s
% 0.57/0.82  % (13174)Instructions burned: 32 (million)
% 0.57/0.82  % (13174)------------------------------
% 0.57/0.82  % (13174)------------------------------
% 0.57/0.82  % (13171)Instruction limit reached!
% 0.57/0.82  % (13171)------------------------------
% 0.57/0.82  % (13171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.82  % (13171)Termination reason: Unknown
% 0.57/0.82  % (13171)Termination phase: Saturation
% 0.57/0.82  
% 0.57/0.82  % (13171)Memory used [KB]: 1385
% 0.57/0.82  % (13171)Time elapsed: 0.026 s
% 0.57/0.82  % (13171)Instructions burned: 62 (million)
% 0.57/0.82  % (13171)------------------------------
% 0.57/0.82  % (13171)------------------------------
% 0.57/0.82  % (13182)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 (2995ds/1919Mi)
% 0.57/0.82  % (13184)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 (2995ds/55Mi)
% 0.95/0.85  % (13163)Instruction limit reached!
% 0.95/0.85  % (13163)------------------------------
% 0.95/0.85  % (13163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (13163)Termination reason: Unknown
% 0.95/0.85  % (13163)Termination phase: Saturation
% 0.95/0.85  
% 0.95/0.85  % (13163)Memory used [KB]: 2449
% 0.95/0.85  % (13163)Time elapsed: 0.070 s
% 0.95/0.85  % (13163)Instructions burned: 243 (million)
% 0.95/0.85  % (13163)------------------------------
% 0.95/0.85  % (13163)------------------------------
% 0.95/0.85  % (13169)Instruction limit reached!
% 0.95/0.85  % (13169)------------------------------
% 0.95/0.85  % (13169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (13169)Termination reason: Unknown
% 0.95/0.85  % (13169)Termination phase: Saturation
% 0.95/0.85  
% 0.95/0.85  % (13169)Memory used [KB]: 1902
% 0.95/0.85  % (13169)Time elapsed: 0.055 s
% 0.95/0.85  % (13169)Instructions burned: 93 (million)
% 0.95/0.85  % (13169)------------------------------
% 0.95/0.85  % (13169)------------------------------
% 0.95/0.85  % (13166)Instruction limit reached!
% 0.95/0.85  % (13166)------------------------------
% 0.95/0.85  % (13166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (13166)Termination reason: Unknown
% 0.95/0.85  % (13166)Termination phase: Saturation
% 0.95/0.85  
% 0.95/0.85  % (13166)Memory used [KB]: 2098
% 0.95/0.85  % (13166)Time elapsed: 0.067 s
% 0.95/0.85  % (13166)Instructions burned: 118 (million)
% 0.95/0.85  % (13166)------------------------------
% 0.95/0.85  % (13166)------------------------------
% 0.95/0.85  % (13190)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 (2995ds/53Mi)
% 0.95/0.85  % (13191)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 (2995ds/46Mi)
% 0.95/0.85  % (13192)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 (2995ds/102Mi)
% 0.95/0.85  % (13184)Instruction limit reached!
% 0.95/0.85  % (13184)------------------------------
% 0.95/0.85  % (13184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (13184)Termination reason: Unknown
% 0.95/0.85  % (13184)Termination phase: Saturation
% 0.95/0.85  
% 0.95/0.85  % (13184)Memory used [KB]: 2256
% 0.95/0.85  % (13184)Time elapsed: 0.029 s
% 0.95/0.85  % (13184)Instructions burned: 57 (million)
% 0.95/0.85  % (13184)------------------------------
% 0.95/0.85  % (13184)------------------------------
% 0.95/0.85  % (13168)Instruction limit reached!
% 0.95/0.85  % (13168)------------------------------
% 0.95/0.85  % (13168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (13168)Termination reason: Unknown
% 0.95/0.85  % (13168)Termination phase: Saturation
% 0.95/0.85  
% 0.95/0.85  % (13168)Memory used [KB]: 2228
% 0.95/0.85  % (13168)Time elapsed: 0.064 s
% 0.95/0.85  % (13168)Instructions burned: 143 (million)
% 0.95/0.85  % (13168)------------------------------
% 0.95/0.85  % (13168)------------------------------
% 0.95/0.86  % (13194)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.95/0.86  % (13197)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.95/0.86  % (13160)First to succeed.
% 0.95/0.86  % (13160)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12982"
% 0.95/0.86  % (13160)Refutation found. Thanks to Tanya!
% 0.95/0.86  % SZS status Theorem for Vampire---4
% 0.95/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.95/0.86  % (13160)------------------------------
% 0.95/0.86  % (13160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.86  % (13160)Termination reason: Refutation
% 0.95/0.86  
% 0.95/0.86  % (13160)Memory used [KB]: 2265
% 0.95/0.86  % (13160)Time elapsed: 0.112 s
% 0.95/0.86  % (13160)Instructions burned: 194 (million)
% 0.95/0.86  % (12982)Success in time 0.498 s
% 0.95/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------