TSTP Solution File: NUM518+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM518+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : 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 08:12:44 EDT 2024

% Result   : Theorem 0.58s 0.78s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  154 (  18 unt;   0 def)
%            Number of atoms       :  631 ( 181 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  741 ( 264   ~; 259   |; 182   &)
%                                         (  14 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  10 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-2 aty)
%            Number of variables   :  142 ( 101   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1712,plain,
    $false,
    inference(avatar_sat_refutation,[],[f425,f430,f440,f451,f1152,f1249,f1654,f1671,f1704]) ).

fof(f1704,plain,
    ( ~ spl26_10
    | ~ spl26_46 ),
    inference(avatar_contradiction_clause,[],[f1703]) ).

fof(f1703,plain,
    ( $false
    | ~ spl26_10
    | ~ spl26_46 ),
    inference(subsumption_resolution,[],[f1683,f242]) ).

fof(f242,plain,
    sdtlseqdt0(xn,xp),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ( sdtlseqdt0(xm,xp)
    & xp = sdtpldt0(xm,sK9)
    & aNaturalNumber0(sK9)
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & xp = sdtpldt0(xn,sK10)
    & aNaturalNumber0(sK10)
    & xn != xp ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f60,f164,f163]) ).

fof(f163,plain,
    ( ? [X0] :
        ( xp = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
   => ( xp = sdtpldt0(xm,sK9)
      & aNaturalNumber0(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ( ? [X1] :
        ( xp = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
   => ( xp = sdtpldt0(xn,sK10)
      & aNaturalNumber0(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ( sdtlseqdt0(xm,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & ? [X1] :
        ( xp = sdtpldt0(xn,X1)
        & aNaturalNumber0(X1) )
    & xn != xp ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ( sdtlseqdt0(xm,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
    & xm != xp
    & sdtlseqdt0(xn,xp)
    & ? [X0] :
        ( xp = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
    & xn != xp ),
    file('/export/starexec/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',m__2287) ).

fof(f1683,plain,
    ( ~ sdtlseqdt0(xn,xp)
    | ~ spl26_10
    | ~ spl26_46 ),
    inference(backward_demodulation,[],[f1082,f1248]) ).

fof(f1248,plain,
    ( xp = sK17
    | ~ spl26_46 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f1246,plain,
    ( spl26_46
  <=> xp = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).

fof(f1082,plain,
    ( ~ sdtlseqdt0(xn,sK17)
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f904,f1070]) ).

fof(f1070,plain,
    ( sK17 = sdtasdt0(xp,sK20)
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f429,f1069]) ).

fof(f1069,plain,
    sdtsldt0(xn,xr) = sK17,
    inference(subsumption_resolution,[],[f1068,f254]) ).

fof(f254,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,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,sK11)
    & aNaturalNumber0(sK11)
    & aNaturalNumber0(xr) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f76,f166]) ).

fof(f166,plain,
    ( ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
   => ( xk = sdtasdt0(xr,sK11)
      & aNaturalNumber0(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,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,[],[f75]) ).

fof(f75,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,[],[f61]) ).

fof(f61,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/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',m__2342) ).

fof(f1068,plain,
    ( sdtsldt0(xn,xr) = sK17
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f1067,f258]) ).

fof(f258,plain,
    sz00 != xr,
    inference(cnf_transformation,[],[f167]) ).

fof(f1067,plain,
    ( sdtsldt0(xn,xr) = sK17
    | sz00 = xr
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f1031,f278]) ).

fof(f278,plain,
    aNaturalNumber0(sK17),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ( doDivides0(xr,xn)
    & xn = sdtasdt0(xr,sK17)
    & aNaturalNumber0(sK17) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f52,f179]) ).

fof(f179,plain,
    ( ? [X0] :
        ( xn = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
   => ( xn = sdtasdt0(xr,sK17)
      & aNaturalNumber0(sK17) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,axiom,
    ( doDivides0(xr,xn)
    & ? [X0] :
        ( xn = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',m__2487) ).

fof(f1031,plain,
    ( sdtsldt0(xn,xr) = sK17
    | ~ aNaturalNumber0(sK17)
    | sz00 = xr
    | ~ aNaturalNumber0(xr) ),
    inference(superposition,[],[f457,f279]) ).

fof(f279,plain,
    xn = sdtasdt0(xr,sK17),
    inference(cnf_transformation,[],[f180]) ).

fof(f457,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f456,f332]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f107]) ).

fof(f107,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.CGCbAsChmP/Vampire---4.8_30323',mSortsB_02) ).

fof(f456,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | sz00 = X0
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f377,f452]) ).

fof(f452,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f372,f332]) ).

fof(f372,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f338]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtasdt0(X0,sK22(X0,X1)) = X1
            & aNaturalNumber0(sK22(X0,X1)) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f192,f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtasdt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X0,sK22(X0,X1)) = X1
        & aNaturalNumber0(sK22(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f192,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,[],[f191]) ).

fof(f191,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,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f115]) ).

fof(f115,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.CGCbAsChmP/Vampire---4.8_30323',mDefDiv) ).

fof(f377,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,sdtasdt0(X0,X2))
      | sz00 = X0
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f370]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( sdtsldt0(X1,X0) = X2
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,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,[],[f206]) ).

fof(f206,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,[],[f141]) ).

fof(f141,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,[],[f140]) ).

fof(f140,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.CGCbAsChmP/Vampire---4.8_30323',mDefQuot) ).

fof(f429,plain,
    ( sdtsldt0(xn,xr) = sdtasdt0(xp,sK20)
    | ~ spl26_10 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl26_10
  <=> sdtsldt0(xn,xr) = sdtasdt0(xp,sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).

fof(f904,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xp,sK20))
    | ~ spl26_10 ),
    inference(subsumption_resolution,[],[f903,f208]) ).

fof(f208,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',m__1837) ).

fof(f903,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xp,sK20))
    | ~ aNaturalNumber0(xn)
    | ~ spl26_10 ),
    inference(subsumption_resolution,[],[f902,f459]) ).

fof(f459,plain,
    ( aNaturalNumber0(sdtasdt0(xp,sK20))
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f284,f429]) ).

fof(f284,plain,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
    & xn = sdtpldt0(sdtsldt0(xn,xr),sK18)
    & aNaturalNumber0(sK18)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn != sdtsldt0(xn,xr)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f78,f181]) ).

fof(f181,plain,
    ( ? [X0] :
        ( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
        & aNaturalNumber0(X0) )
   => ( xn = sdtpldt0(sdtsldt0(xn,xr),sK18)
      & aNaturalNumber0(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
    & ? [X0] :
        ( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
        & aNaturalNumber0(X0) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn != sdtsldt0(xn,xr)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
    & ? [X0] :
        ( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
        & aNaturalNumber0(X0) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn != sdtsldt0(xn,xr)
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
    & ? [X0] :
        ( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
        & aNaturalNumber0(X0) )
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & ~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
          & aNaturalNumber0(sdtsldt0(xn,xr)) )
       => xn = sdtsldt0(xn,xr) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',m__2504) ).

fof(f902,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xp,sK20))
    | ~ aNaturalNumber0(sdtasdt0(xp,sK20))
    | ~ aNaturalNumber0(xn)
    | ~ spl26_10 ),
    inference(subsumption_resolution,[],[f869,f480]) ).

fof(f480,plain,
    ( xn != sdtasdt0(xp,sK20)
    | ~ spl26_10 ),
    inference(superposition,[],[f283,f429]) ).

fof(f283,plain,
    xn != sdtsldt0(xn,xr),
    inference(cnf_transformation,[],[f182]) ).

fof(f869,plain,
    ( xn = sdtasdt0(xp,sK20)
    | ~ sdtlseqdt0(xn,sdtasdt0(xp,sK20))
    | ~ aNaturalNumber0(sdtasdt0(xp,sK20))
    | ~ aNaturalNumber0(xn)
    | ~ spl26_10 ),
    inference(resolution,[],[f362,f462]) ).

fof(f462,plain,
    ( sdtlseqdt0(sdtasdt0(xp,sK20),xn)
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f288,f429]) ).

fof(f288,plain,
    sdtlseqdt0(sdtsldt0(xn,xr),xn),
    inference(cnf_transformation,[],[f182]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f133]) ).

fof(f133,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.CGCbAsChmP/Vampire---4.8_30323',mLEAsym) ).

fof(f1671,plain,
    ( ~ spl26_9
    | ~ spl26_10
    | spl26_29
    | spl26_43 ),
    inference(avatar_contradiction_clause,[],[f1670]) ).

fof(f1670,plain,
    ( $false
    | ~ spl26_9
    | ~ spl26_10
    | spl26_29
    | spl26_43 ),
    inference(subsumption_resolution,[],[f1669,f210]) ).

fof(f210,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f1669,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl26_9
    | ~ spl26_10
    | spl26_29
    | spl26_43 ),
    inference(subsumption_resolution,[],[f1668,f278]) ).

fof(f1668,plain,
    ( ~ aNaturalNumber0(sK17)
    | ~ aNaturalNumber0(xp)
    | ~ spl26_9
    | ~ spl26_10
    | spl26_29
    | spl26_43 ),
    inference(subsumption_resolution,[],[f1667,f1076]) ).

fof(f1076,plain,
    ( doDivides0(xp,sK17)
    | ~ spl26_9
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f463,f1070]) ).

fof(f463,plain,
    ( doDivides0(xp,sdtasdt0(xp,sK20))
    | ~ spl26_9
    | ~ spl26_10 ),
    inference(forward_demodulation,[],[f424,f429]) ).

fof(f424,plain,
    ( doDivides0(xp,sdtsldt0(xn,xr))
    | ~ spl26_9 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl26_9
  <=> doDivides0(xp,sdtsldt0(xn,xr)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).

fof(f1667,plain,
    ( ~ doDivides0(xp,sK17)
    | ~ aNaturalNumber0(sK17)
    | ~ aNaturalNumber0(xp)
    | spl26_29
    | spl26_43 ),
    inference(subsumption_resolution,[],[f1663,f809]) ).

fof(f809,plain,
    ( sz00 != sK17
    | spl26_29 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f808,plain,
    ( spl26_29
  <=> sz00 = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).

fof(f1663,plain,
    ( sz00 = sK17
    | ~ doDivides0(xp,sK17)
    | ~ aNaturalNumber0(sK17)
    | ~ aNaturalNumber0(xp)
    | spl26_43 ),
    inference(resolution,[],[f1201,f349]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sz00 = X1
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f121]) ).

fof(f121,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.CGCbAsChmP/Vampire---4.8_30323',mDivLE) ).

fof(f1201,plain,
    ( ~ sdtlseqdt0(xp,sK17)
    | spl26_43 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1200,plain,
    ( spl26_43
  <=> sdtlseqdt0(xp,sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_43])]) ).

fof(f1654,plain,
    ( ~ spl26_10
    | spl26_45 ),
    inference(avatar_contradiction_clause,[],[f1653]) ).

fof(f1653,plain,
    ( $false
    | ~ spl26_10
    | spl26_45 ),
    inference(subsumption_resolution,[],[f1652,f208]) ).

fof(f1652,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ spl26_10
    | spl26_45 ),
    inference(subsumption_resolution,[],[f1641,f242]) ).

fof(f1641,plain,
    ( ~ sdtlseqdt0(xn,xp)
    | ~ aNaturalNumber0(xn)
    | ~ spl26_10
    | spl26_45 ),
    inference(resolution,[],[f1428,f1075]) ).

fof(f1075,plain,
    ( sdtlseqdt0(sK17,xn)
    | ~ spl26_10 ),
    inference(backward_demodulation,[],[f462,f1070]) ).

fof(f1428,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(sK17,X0)
        | ~ sdtlseqdt0(X0,xp)
        | ~ aNaturalNumber0(X0) )
    | spl26_45 ),
    inference(subsumption_resolution,[],[f1427,f278]) ).

fof(f1427,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xp)
        | ~ sdtlseqdt0(sK17,X0)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17) )
    | spl26_45 ),
    inference(subsumption_resolution,[],[f1417,f210]) ).

fof(f1417,plain,
    ( ! [X0] :
        ( ~ sdtlseqdt0(X0,xp)
        | ~ sdtlseqdt0(sK17,X0)
        | ~ aNaturalNumber0(xp)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(sK17) )
    | spl26_45 ),
    inference(resolution,[],[f361,f1244]) ).

fof(f1244,plain,
    ( ~ sdtlseqdt0(sK17,xp)
    | spl26_45 ),
    inference(avatar_component_clause,[],[f1242]) ).

fof(f1242,plain,
    ( spl26_45
  <=> sdtlseqdt0(sK17,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_45])]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,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.CGCbAsChmP/Vampire---4.8_30323',mLETran) ).

fof(f1249,plain,
    ( ~ spl26_45
    | spl26_46
    | ~ spl26_43 ),
    inference(avatar_split_clause,[],[f1240,f1200,f1246,f1242]) ).

fof(f1240,plain,
    ( xp = sK17
    | ~ sdtlseqdt0(sK17,xp)
    | ~ spl26_43 ),
    inference(subsumption_resolution,[],[f1239,f278]) ).

fof(f1239,plain,
    ( xp = sK17
    | ~ sdtlseqdt0(sK17,xp)
    | ~ aNaturalNumber0(sK17)
    | ~ spl26_43 ),
    inference(subsumption_resolution,[],[f1238,f210]) ).

fof(f1238,plain,
    ( xp = sK17
    | ~ sdtlseqdt0(sK17,xp)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK17)
    | ~ spl26_43 ),
    inference(resolution,[],[f1202,f362]) ).

fof(f1202,plain,
    ( sdtlseqdt0(xp,sK17)
    | ~ spl26_43 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f1152,plain,
    ~ spl26_29,
    inference(avatar_contradiction_clause,[],[f1151]) ).

fof(f1151,plain,
    ( $false
    | ~ spl26_29 ),
    inference(subsumption_resolution,[],[f1150,f254]) ).

fof(f1150,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ spl26_29 ),
    inference(subsumption_resolution,[],[f1142,f475]) ).

fof(f475,plain,
    sz00 != xn,
    inference(subsumption_resolution,[],[f474,f210]) ).

fof(f474,plain,
    ( sz00 != xn
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f471,f311]) ).

fof(f311,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',mSortsC) ).

fof(f471,plain,
    ( sz00 != xn
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[],[f302,f309]) ).

fof(f309,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,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.CGCbAsChmP/Vampire---4.8_30323',m_MulZero) ).

fof(f302,plain,
    ! [X1] :
      ( xn != sdtasdt0(xp,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ~ doDivides0(xp,xm)
    & ! [X0] :
        ( xm != sdtasdt0(xp,X0)
        | ~ aNaturalNumber0(X0) )
    & ~ doDivides0(xp,xn)
    & ! [X1] :
        ( xn != sdtasdt0(xp,X1)
        | ~ aNaturalNumber0(X1) ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ~ ( doDivides0(xp,xm)
      | ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) )
      | doDivides0(xp,xn)
      | ? [X1] :
          ( xn = sdtasdt0(xp,X1)
          & aNaturalNumber0(X1) ) ),
    inference(rectify,[],[f57]) ).

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

fof(f56,conjecture,
    ( doDivides0(xp,xm)
    | ? [X0] :
        ( xm = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    | doDivides0(xp,xn)
    | ? [X0] :
        ( xn = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',m__) ).

fof(f1142,plain,
    ( sz00 = xn
    | ~ aNaturalNumber0(xr)
    | ~ spl26_29 ),
    inference(superposition,[],[f309,f1088]) ).

fof(f1088,plain,
    ( xn = sdtasdt0(xr,sz00)
    | ~ spl26_29 ),
    inference(backward_demodulation,[],[f279,f810]) ).

fof(f810,plain,
    ( sz00 = sK17
    | ~ spl26_29 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f451,plain,
    ~ spl26_12,
    inference(avatar_split_clause,[],[f305,f437]) ).

fof(f437,plain,
    ( spl26_12
  <=> doDivides0(xp,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).

fof(f305,plain,
    ~ doDivides0(xp,xm),
    inference(cnf_transformation,[],[f79]) ).

fof(f440,plain,
    ( spl26_8
    | spl26_12 ),
    inference(avatar_split_clause,[],[f301,f437,f418]) ).

fof(f418,plain,
    ( spl26_8
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).

fof(f301,plain,
    ( doDivides0(xp,xm)
    | sP3 ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ( ( doDivides0(xp,xm)
      & xm = sdtasdt0(xp,sK21)
      & aNaturalNumber0(sK21) )
    | sP3 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f148,f189]) ).

fof(f189,plain,
    ( ? [X0] :
        ( xm = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
   => ( xm = sdtasdt0(xp,sK21)
      & aNaturalNumber0(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ( ( doDivides0(xp,xm)
      & ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) ) )
    | sP3 ),
    inference(definition_folding,[],[f64,f147]) ).

fof(f147,plain,
    ( ( doDivides0(xp,sdtsldt0(xn,xr))
      & ? [X1] :
          ( sdtsldt0(xn,xr) = sdtasdt0(xp,X1)
          & aNaturalNumber0(X1) )
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f64,plain,
    ( ( doDivides0(xp,xm)
      & ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) ) )
    | ( doDivides0(xp,sdtsldt0(xn,xr))
      & ? [X1] :
          ( sdtsldt0(xn,xr) = sdtasdt0(xp,X1)
          & aNaturalNumber0(X1) )
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
    inference(rectify,[],[f55]) ).

fof(f55,axiom,
    ( ( doDivides0(xp,xm)
      & ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) ) )
    | ( doDivides0(xp,sdtsldt0(xn,xr))
      & ? [X0] :
          ( sdtasdt0(xp,X0) = sdtsldt0(xn,xr)
          & aNaturalNumber0(X0) )
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CGCbAsChmP/Vampire---4.8_30323',m__2645) ).

fof(f430,plain,
    ( ~ spl26_8
    | spl26_10 ),
    inference(avatar_split_clause,[],[f297,f427,f418]) ).

fof(f297,plain,
    ( sdtsldt0(xn,xr) = sdtasdt0(xp,sK20)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ( ( doDivides0(xp,sdtsldt0(xn,xr))
      & sdtsldt0(xn,xr) = sdtasdt0(xp,sK20)
      & aNaturalNumber0(sK20)
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) )
    | ~ sP3 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f186,f187]) ).

fof(f187,plain,
    ( ? [X0] :
        ( sdtasdt0(xp,X0) = sdtsldt0(xn,xr)
        & aNaturalNumber0(X0) )
   => ( sdtsldt0(xn,xr) = sdtasdt0(xp,sK20)
      & aNaturalNumber0(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f186,plain,
    ( ( doDivides0(xp,sdtsldt0(xn,xr))
      & ? [X0] :
          ( sdtasdt0(xp,X0) = sdtsldt0(xn,xr)
          & aNaturalNumber0(X0) )
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) )
    | ~ sP3 ),
    inference(rectify,[],[f185]) ).

fof(f185,plain,
    ( ( doDivides0(xp,sdtsldt0(xn,xr))
      & ? [X1] :
          ( sdtsldt0(xn,xr) = sdtasdt0(xp,X1)
          & aNaturalNumber0(X1) )
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f147]) ).

fof(f425,plain,
    ( ~ spl26_8
    | spl26_9 ),
    inference(avatar_split_clause,[],[f298,f422,f418]) ).

fof(f298,plain,
    ( doDivides0(xp,sdtsldt0(xn,xr))
    | ~ sP3 ),
    inference(cnf_transformation,[],[f188]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM518+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % 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
% 0.14/0.35  % 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 15:01:37 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_CAX_RFO_SEQ problem
% 0.14/0.35  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.CGCbAsChmP/Vampire---4.8_30323
% 0.57/0.73  % (30438)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)
% 0.57/0.73  % (30432)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)
% 0.57/0.73  % (30434)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (30433)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)
% 0.57/0.73  % (30436)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)
% 0.57/0.73  % (30437)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)
% 0.57/0.73  % (30439)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)
% 0.57/0.74  % (30435)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)
% 0.57/0.75  % (30436)Instruction limit reached!
% 0.57/0.75  % (30436)------------------------------
% 0.57/0.75  % (30436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (30436)Termination reason: Unknown
% 0.57/0.75  % (30436)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (30436)Memory used [KB]: 1697
% 0.57/0.75  % (30436)Time elapsed: 0.020 s
% 0.57/0.75  % (30436)Instructions burned: 35 (million)
% 0.57/0.75  % (30436)------------------------------
% 0.57/0.75  % (30436)------------------------------
% 0.58/0.75  % (30432)Instruction limit reached!
% 0.58/0.75  % (30432)------------------------------
% 0.58/0.75  % (30432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30432)Termination reason: Unknown
% 0.58/0.75  % (30432)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (30432)Memory used [KB]: 1506
% 0.58/0.75  % (30432)Time elapsed: 0.021 s
% 0.58/0.75  % (30432)Instructions burned: 34 (million)
% 0.58/0.75  % (30432)------------------------------
% 0.58/0.75  % (30432)------------------------------
% 0.58/0.75  % (30438)Instruction limit reached!
% 0.58/0.75  % (30438)------------------------------
% 0.58/0.75  % (30438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30438)Termination reason: Unknown
% 0.58/0.75  % (30438)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (30438)Memory used [KB]: 1943
% 0.58/0.75  % (30438)Time elapsed: 0.023 s
% 0.58/0.75  % (30438)Instructions burned: 84 (million)
% 0.58/0.75  % (30438)------------------------------
% 0.58/0.75  % (30438)------------------------------
% 0.58/0.75  % (30440)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)
% 0.58/0.75  % (30442)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)
% 0.58/0.76  % (30441)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)
% 0.58/0.76  % (30437)Instruction limit reached!
% 0.58/0.76  % (30437)------------------------------
% 0.58/0.76  % (30437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (30437)Termination reason: Unknown
% 0.58/0.76  % (30437)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (30437)Memory used [KB]: 1643
% 0.58/0.76  % (30437)Time elapsed: 0.027 s
% 0.58/0.76  % (30437)Instructions burned: 45 (million)
% 0.58/0.76  % (30437)------------------------------
% 0.58/0.76  % (30437)------------------------------
% 0.58/0.76  % (30433)Instruction limit reached!
% 0.58/0.76  % (30433)------------------------------
% 0.58/0.76  % (30433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (30433)Termination reason: Unknown
% 0.58/0.76  % (30433)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (30433)Memory used [KB]: 1675
% 0.58/0.76  % (30433)Time elapsed: 0.030 s
% 0.58/0.76  % (30433)Instructions burned: 51 (million)
% 0.58/0.76  % (30433)------------------------------
% 0.58/0.76  % (30433)------------------------------
% 0.58/0.76  % (30435)Instruction limit reached!
% 0.58/0.76  % (30435)------------------------------
% 0.58/0.76  % (30435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (30435)Termination reason: Unknown
% 0.58/0.76  % (30435)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (30435)Memory used [KB]: 1679
% 0.58/0.76  % (30435)Time elapsed: 0.040 s
% 0.58/0.76  % (30435)Instructions burned: 33 (million)
% 0.58/0.76  % (30435)------------------------------
% 0.58/0.76  % (30435)------------------------------
% 0.58/0.76  % (30443)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)
% 0.58/0.76  % (30439)Instruction limit reached!
% 0.58/0.76  % (30439)------------------------------
% 0.58/0.76  % (30439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (30439)Termination reason: Unknown
% 0.58/0.76  % (30439)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (30439)Memory used [KB]: 1763
% 0.58/0.76  % (30439)Time elapsed: 0.030 s
% 0.58/0.76  % (30439)Instructions burned: 56 (million)
% 0.58/0.76  % (30439)------------------------------
% 0.58/0.76  % (30439)------------------------------
% 0.58/0.76  % (30444)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)
% 0.58/0.77  % (30445)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)
% 0.58/0.77  % (30446)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 (2996ds/243Mi)
% 0.58/0.77  % (30434)First to succeed.
% 0.58/0.78  % (30434)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30431"
% 0.58/0.78  % (30440)Instruction limit reached!
% 0.58/0.78  % (30440)------------------------------
% 0.58/0.78  % (30440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (30440)Termination reason: Unknown
% 0.58/0.78  % (30440)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (30440)Memory used [KB]: 1424
% 0.58/0.78  % (30440)Time elapsed: 0.024 s
% 0.58/0.78  % (30440)Instructions burned: 56 (million)
% 0.58/0.78  % (30440)------------------------------
% 0.58/0.78  % (30440)------------------------------
% 0.58/0.78  % (30434)Refutation found. Thanks to Tanya!
% 0.58/0.78  % SZS status Theorem for Vampire---4
% 0.58/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.78  % (30434)------------------------------
% 0.58/0.78  % (30434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (30434)Termination reason: Refutation
% 0.58/0.78  
% 0.58/0.78  % (30434)Memory used [KB]: 1618
% 0.58/0.78  % (30434)Time elapsed: 0.045 s
% 0.58/0.78  % (30434)Instructions burned: 76 (million)
% 0.58/0.78  % (30431)Success in time 0.407 s
% 0.58/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------